Table of spherical codes

Maintained by Henry Cohn

This data is archived at https://hdl.handle.net/1721.1/153543. If you cite the table, please refer to that data set, not this web page.

A spherical code is a configuration of points on the surface of a sphere, with the goal of maximizing the minimal angle between the points. The following table lists numerically optimized codes, with cases that are known to be optimal marked with *. Each entry links to coordinates for the code. Along with references, in some cases the table lists the minimal polynomial of the cosine of the minimal angle, in which case a code with this exact angle has been proved to exist.

The table is limited to 32 dimensions and 1024 points, with a few exceptions. It omits cases that have been systematically solved, namely dimensions below three and n-dimensional codes with at most 2n points (see R. A. Rankin, The closest packing of spherical caps in n dimensions, Proc. Glasgow Math. Assoc. 2 (1955), 139–144, doi:10.1017/S2040618500033219). The entries labeled “needs more optimization” have not fully converged to a local optimum, while most of the others probably have. There are two records listed in Ericson and Zinoviev's book (Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001) that I have not included below: for 80 points in 7 dimensions, their construction describes only 78 points, and for 1024 points in 16 dimensions, I am unable to get their construction to work.

You can access a plain text table here, which includes some polynomials too large to fit below, and upload additions or improvements here.

Dimension Number of points Cosine of minimal angle References and notes
3 7* 0.210138312731 K. Schütte and B. L. van der Waerden, Auf welcher Kugel haben 5, 6, 7, 8 oder 9 Punkte mit Mindestabstand Eins Platz?, Math. Ann. 123 (1951), 96–124, doi:10.1007/BF02054944.
3⁢x3−9⁢x2−3⁢x+1
3 8* 0.261203874964 K. Schütte and B. L. van der Waerden, Auf welcher Kugel haben 5, 6, 7, 8 oder 9 Punkte mit Mindestabstand Eins Platz?, Math. Ann. 123 (1951), 96–124, doi:10.1007/BF02054944.
7⁢x2+2⁢x−1
3 9* 0.333333333334 K. Schütte and B. L. van der Waerden, Auf welcher Kugel haben 5, 6, 7, 8 oder 9 Punkte mit Mindestabstand Eins Platz?, Math. Ann. 123 (1951), 96–124, doi:10.1007/BF02054944.
3⁢x−1
3 10* 0.404394325217 K. Schütte and B. L. van der Waerden, Auf welcher Kugel haben 5, 6, 7, 8 oder 9 Punkte mit Mindestabstand Eins Platz?, Math. Ann. 123 (1951), 96–124, doi:10.1007/BF02054944; L. Danzer, Finite point-sets on S2 with minimum distance as large as possible, Discrete Math. 60 (1986), 3–66, doi:10.1016/0012-365X(86)90002-6.
7⁢x3−4⁢x2−2⁢x+1
3 11* 0.447213595500 K. Schütte and B. L. van der Waerden, Auf welcher Kugel haben 5, 6, 7, 8 oder 9 Punkte mit Mindestabstand Eins Platz?, Math. Ann. 123 (1951), 96–124, doi:10.1007/BF02054944; L. Danzer, Finite point-sets on S2 with minimum distance as large as possible, Discrete Math. 60 (1986), 3–66, doi:10.1016/0012-365X(86)90002-6.
5⁢x2−1
3 12* 0.447213595500 L. Fejes [Tóth], Über eine Abschätzung des kürzesten Abstandes zweier Punkte eines auf einer Kugelfläche liegenden Punktsystems, Jber. Deutsch. Math.-Verein. 53 (1943), 66–68.
5⁢x2−1
3 13* 0.542636486830 K. Schütte and B. L. van der Waerden, Auf welcher Kugel haben 5, 6, 7, 8 oder 9 Punkte mit Mindestabstand Eins Platz?, Math. Ann. 123 (1951), 96–124, doi:10.1007/BF02054944; O. R. Musin and A. S. Tarasov, The strong thirteen spheres problem, Discrete Comput. Geom. 48 (2012), 128–141, doi:10.1007/s00454-011-9392-2.
x8−24⁢x7−12⁢x6+8⁢x5+38⁢x4+24⁢x3−12⁢x2−8⁢x+1
3 14* 0.563950300361 K. Schütte and B. L. van der Waerden, Auf welcher Kugel haben 5, 6, 7, 8 oder 9 Punkte mit Mindestabstand Eins Platz?, Math. Ann. 123 (1951), 96–124, doi:10.1007/BF02054944; O. R. Musin and A. S. Tarasov, The Tammes problem for N=14, Exp. Math. 24 (2015), 460–468, doi:10.1080/10586458.2015.1022842.
4⁢x4−2⁢x3+3⁢x2−1
3 15 0.592605902926 K. Schütte and B. L. van der Waerden, Auf welcher Kugel haben 5, 6, 7, 8 oder 9 Punkte mit Mindestabstand Eins Platz?, Math. Ann. 123 (1951), 96–124, doi:10.1007/BF02054944; D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
13⁢x5−x4+6⁢x3+2⁢x2−3⁢x−1
3 16 0.612294616483 K. Schütte and B. L. van der Waerden, Auf welcher Kugel haben 5, 6, 7, 8 oder 9 Punkte mit Mindestabstand Eins Platz?, Math. Ann. 123 (1951), 96–124, doi:10.1007/BF02054944.
23⁢x6+6⁢x5+5⁢x4+4⁢x3−3⁢x2−2⁢x−1
3 17 0.628094415071 L. Danzer, Finite point-sets on S2 with minimum distance as large as possible, Discrete Math. 60 (1986), 3–66, doi:10.1016/0012-365X(86)90002-6.
4⁢x10−92⁢x9+24⁢x8+128⁢x7−58⁢x6−78⁢x5+35⁢x4+32⁢x3−4⁢x2−6⁢x−1
3 18 0.648695832224 T. Tarnai and Zs. Gáspár, Improved packing of equal circles on a sphere and rigidity of its graph, Math. Proc. Cambridge Philos. Soc. 93 (1983), 191–218, doi:10.1017/S0305004100060485.
216⁢x11+108⁢x10+118⁢x9+209⁢x8−100⁢x7−160⁢x6+40⁢x5+46⁢x4−20⁢x3−12⁢x2+2⁢x+1
3 19 0.673116887561 D. E. Lazić, V. Šenk, and I. Šeškar, Arrangements of points on a sphere which maximize the least distance, Bull. Appl. Math. (Technical University Budapest) 47 (1987), 7–21.
Minimal polynomial listed in plain text data
3 20 0.676477138130 B. L. van der Waerden, Punkte auf der Kugel. Drei Zusätze, Math. Ann. 125 (1952), 213–222, doi:10.1007/BF01343118.
21⁢x3−9⁢x2−5⁢x+1
3 21 0.699498431067 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 22 0.710306258580 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
Minimal polynomial listed in plain text data
3 23 0.722846984869 T. Tarnai and Zs. Gáspár, Arrangement of 23 points on a sphere (on a conjecture of R. M. Robinson), Proc. Roy. Soc. London Ser. A 433 (1991), 257–267, doi:10.1098/rspa.1991.0046.
3 24* 0.723078468334 R. M. Robinson, Arrangements of 24 points on a sphere, Math. Ann. 144 (1961), 17–48, doi:10.1007/BF01396539.
7⁢x3+x2−3⁢x−1
3 25 0.747398628578 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
Minimal polynomial listed in plain text data
3 26 0.754278177121 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
Minimal polynomial listed in plain text data
3 27 0.758389210777 T. Tarnai and Zs. Gáspár, Improved packing of equal circles on a sphere and rigidity of its graph, Math. Proc. Cambridge Philos. Soc. 93 (1983), 191–218, doi:10.1017/S0305004100060485.
Minimal polynomial listed in plain text data
3 28 0.773230262338 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 29 0.780281415949 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 30 0.781551875095 B. W. Clare and D. L. Kepert, The closest packing of equal circles on a sphere, Proc. Roy. Soc. London Ser. A 405 (1986), 329–344, doi:10.1098/rspa.1986.0056.
Minimal polynomial listed in plain text data
3 31 0.791118613299 J. Strohmajer, Über die Verteilung von Punkten auf der Kugel, Ann. Univ. Sci. Budapest. Eötvös Sect. Math. 6 (1963), 49–53.
Minimal polynomial listed in plain text data
3 32 0.793616614872 L. Danzer, Finite point-sets on S2 with minimum distance as large as possible, Discrete Math. 60 (1986), 3–66, doi:10.1016/0012-365X(86)90002-6.
Minimal polynomial listed in plain text data
3 33 0.806397613648 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 34 0.810984337204 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 35 0.815937771500 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 36 0.817248185290 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 37 0.824892480240 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 38 0.826583259422 E. Székely, Sur le problème de Tammes, Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae 17 (1974), 157–175, http://annalesm.elte.hu/annales17-1974/Annales_1974_T-XVII.pdf.
363⁢x14+7685⁢x12+34299⁢x10−77139⁢x8+68985⁢x6−31833⁢x4+6561⁢x2−729
3 39 0.833991322411 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 40 0.837162072474 B. W. Clare and D. L. Kepert, The closest packing of equal circles on a sphere, Proc. Roy. Soc. London Ser. A 405 (1986), 329–344, doi:10.1098/rspa.1986.0056.
3 41 0.841236343029 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 42 0.843331551639 E. Székely, Sur le problème de Tammes, Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae 17 (1974), 157–175, http://annalesm.elte.hu/annales17-1974/Annales_1974_T-XVII.pdf.
Minimal polynomial listed in plain text data
3 43 0.847208865437 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 44 0.848201378305 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 45 0.854249474082 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 46 0.857534166865 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 47 0.859122361410 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 48 0.859292295076 R. M. Robinson, Finite sets of points on a sphere with each nearest to five others, Math. Ann. 179 (1969), 296–318, doi:10.1007/BF01350775.
34⁢x5+15⁢x4−12⁢x3−14⁢x2−6⁢x−1
3 49 0.866691479049 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 50 0.868173209127 E. Székely, Sur le problème de Tammes, Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae 17 (1974), 157–175, http://annalesm.elte.hu/annales17-1974/Annales_1974_T-XVII.pdf.
Minimal polynomial listed in plain text data
3 51 0.871484364931 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 52 0.872966708781 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
Minimal polynomial listed in plain text data
3 53 0.876189803956 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 54 0.877004306358 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 55 0.880785046525 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 56 0.881731578410 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 57 0.884363737604 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 58 0.886555745177 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 59 0.887855737148 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 60 0.889473567590 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 61 0.892008443283 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 62 0.893496850569 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; J. Buddenhagen and D. A. Kottwitz, Multiplicity and symmetry breaking in (conjectured) densest packings of congruent circles on a circle, undated manuscript.
3 63 0.895036180815 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 64 0.896988167538 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 65 0.898259108584 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 66 0.899195777484 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 67 0.901198227760 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 68 0.902856921522 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 69 0.903831506358 James Buddenhagen and D. A. Kottwitz, 1997.
3 70 0.905043036803 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 71 0.906396736776 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 72 0.906849285445 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 73 0.909571628656 James Buddenhagen and D. A. Kottwitz, 1997.
3 74 0.910532623502 D. A. Kottwitz, 1997.
3 75 0.911390904652 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 76 0.912633133084 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; J. Buddenhagen and D. A. Kottwitz, Multiplicity and symmetry breaking in (conjectured) densest packings of congruent circles on a circle, undated manuscript.
3 77 0.913536344688 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
3 78 0.914034438768 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 79 0.916195009441 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 80 0.916690360742 James Buddenhagen, 1997.
3 81 0.918117193791 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 82 0.919172412416 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 83 0.919937881756 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 84 0.920151698890 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 85 0.922004026342 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 86 0.922710627798 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 87 0.923567597265 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 88 0.924093912593 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 89 0.925099726146 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 90 0.926173483336 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 91 0.926844825210 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 92 0.927003416243 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 93 0.928418531906 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 94 0.928979461777 James Buddenhagen and D. A. Kottwitz, 1997.
3 95 0.929811497467 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 96 0.930285673249 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 97 0.931051674650 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 98 0.931239991046 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 99 0.932727363300 James Buddenhagen and D. A. Kottwitz, 1997.
3 100 0.933385128903 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 101 0.934025767057 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 102 0.934480088172 James Buddenhagen and D. A. Kottwitz, 1997.
3 103 0.935207723062 James Buddenhagen and D. A. Kottwitz, 1997.
3 104 0.935711381000 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 105 0.936434497689 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 106 0.937042014619 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 107 0.937517802204 James Buddenhagen and D. A. Kottwitz, 1997.
3 108 0.937862018289 James Buddenhagen and D. A. Kottwitz, 1997.
3 109 0.938798085650 James Buddenhagen and D. A. Kottwitz, 1997.
3 110 0.939026290863 James Buddenhagen and D. A. Kottwitz, 1997.
3 111 0.939729959842 Henry Cohn, 2024.
3 112 0.940339774660 James Buddenhagen and D. A. Kottwitz, 1997.
3 113 0.940847649045 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 114 0.941205445297 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 115 0.941916896842 James Buddenhagen and D. A. Kottwitz, 1997.
3 116 0.942351017116 James Buddenhagen and D. A. Kottwitz, 1997.
3 117 0.942866795114 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; J. Buddenhagen and D. A. Kottwitz, Multiplicity and symmetry breaking in (conjectured) densest packings of congruent circles on a circle, undated manuscript.
3 118 0.943283453359 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 119 0.943651453299 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 120 0.943662307333 R. M. Robinson, Finite sets of points on a sphere with each nearest to five others, Math. Ann. 179 (1969), 296–318, doi:10.1007/BF01350775.
1364⁢x10+1230⁢x9−709⁢x8−1468⁢x7−688⁢x6+136⁢x5+286⁢x4+108⁢x3+4⁢x2−6⁢x−1
3 121 0.944678061273 Henry Cohn, 2024.
3 122 0.945086237318 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 123 0.945482265531 James Buddenhagen and D. A. Kottwitz, 1997.
3 124 0.945780154584 James Buddenhagen and D. A. Kottwitz, 1997.
3 125 0.946395861103 Henry Cohn, 2026.
3 126 0.946752784732 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 127 0.947264465646 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 128 0.947573544865 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 129 0.947971561157 James Buddenhagen and D. A. Kottwitz, 1997.
3 130 0.948266309315 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 131 0.948765511183 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 132 0.948962593971 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 133 0.949572658198 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 134 0.949971678353 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 135 0.950317557456 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 136 0.950634777737 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 137 0.951024783277 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 138 0.951358398188 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 139 0.951683443186 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 140 0.951979740880 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 141 0.952385754295 Henry Cohn, 2025.
3 142 0.952693726748 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 143 0.952998670435 Henry Cohn, 2024.
3 144 0.953228409663 Henry Cohn, 2025.
3 145 0.953609890346 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 146 0.953890527065 Henry Cohn, 2024.
3 147 0.954232032048 Henry Cohn, 2024.
3 148 0.954536757950 Henry Cohn, 2025.
3 149 0.954857978400 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 150 0.955020893900 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 151 0.955409384784 Henry Cohn, 2024.
3 152 0.955652691422 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 153 0.955934479813 Henry Cohn, 2025.
3 154 0.956200715693 Henry Cohn, 2024.
3 155 0.956523743427 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 156 0.956672320428 Henry Cohn, 2024.
3 157 0.957096132346 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 158 0.957339288658 Henry Cohn, 2024.
3 159 0.957588843682 Henry Cohn, 2024.
3 160 0.957856569962 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 161 0.958127174616 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 162 0.958288809704 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 163 0.958615566728 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 164 0.958889976688 Henry Cohn, 2024.
3 165 0.959124889495 Henry Cohn, 2024.
3 166 0.959323846675 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 167 0.959625833713 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 168 0.959759331314 Henry Cohn, 2025.
3 169 0.960021869084 Henry Cohn, 2025.
3 170 0.960117137568 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121 (see footnote 1).
3 171 0.960456738161 Henry Cohn, 2025.
3 172 0.960629559055 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 173 0.960986405967 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 174 0.961153945452 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 175 0.961330724045 Henry Cohn, 2024.
3 176 0.961593582498 Henry Cohn, 2024.
3 177 0.961828786663 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 178 0.961965173662 Henry Cohn, 2024.
3 179 0.962096013263 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 180 0.962128794086 T. Tarnai, Packing of 180 equal circles on a sphere, Elem. Math. 38 (1983), 119–122, doi:10.5169/seals-37194.
Minimal polynomial listed in plain text data
3 181 0.962508969964 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 182 0.962801835015 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 183 0.962987455061 Henry Cohn, 2024.
3 184 0.963227493195 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 185 0.963400251151 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 186 0.963602302299 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 187 0.963858096099 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 188 0.964002261472 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 189 0.964190407206 Henry Cohn, 2024.
3 190 0.964292984546 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 191 0.964504935278 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 192 0.964585751396 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 193 0.964893730830 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 194 0.965083352280 Henry Cohn, 2024.
3 195 0.965251036900 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 196 0.965468009555 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 197 0.965671400310 Henry Cohn, 2025.
3 198 0.965829315374 Henry Cohn, 2024.
3 199 0.965916172795 Henry Cohn, 2024.
3 200 0.965942044452 Henry Cohn, 2025.
3 201 0.966306900791 Henry Cohn, 2024.
3 202 0.966420203486 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 203 0.966622724376 Henry Cohn, 2024.
3 204 0.966712897537 Henry Cohn, 2024.
3 205 0.966826978769 Henry Cohn, 2025.
3 206 0.967078415732 Henry Cohn, 2024.
3 207 0.967258049747 Henry Cohn, 2024.
3 208 0.967362842483 Henry Cohn, 2024.
3 209 0.967547223611 Henry Cohn, 2024.
3 210 0.967630597679 Henry Cohn, 2024.
3 211 0.967822897132 Henry Cohn, 2024.
3 212 0.967927157323 Henry Cohn, 2024.
3 213 0.968163116144 Henry Cohn, 2024.
3 214 0.968277360489 Henry Cohn, 2025.
3 215 0.968453681521 Henry Cohn, 2024.
3 216 0.968596893733 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 217 0.968776493956 Henry Cohn, 2025.
3 218 0.968881995145 Joseph Farland, 2026.
3 219 0.969051617681 Henry Cohn, 2025.
3 220 0.969138855053 Henry Cohn, 2024.
3 221 0.969215831481 Henry Cohn, 2024.
3 222 0.969434787486 Henry Cohn, 2024.
3 223 0.969554841105 Henry Cohn, 2024.
3 224 0.969694397387 Henry Cohn, 2024.
3 225 0.969832486673 Henry Cohn, 2024.
3 226 0.969908996450 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 227 0.970127102957 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 228 0.970249147842 Henry Cohn, 2024.
3 229 0.970369120893 Henry Cohn, 2025.
3 230 0.970483445180 Henry Cohn, 2024.
3 231 0.970608829668 Henry Cohn, 2024.
3 232 0.970693980479 Henry Cohn, 2024.
3 233 0.970846696940 Henry Cohn, 2025.
3 234 0.970904175255 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 235 0.971108669673 Henry Cohn, 2025.
3 236 0.971194820033 Henry Cohn, 2024.
3 237 0.971302444225 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 238 0.971450420857 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 239 0.971569245430 Joseph Farland, 2026.
3 240 0.971657594484 Henry Cohn, 2024.
3 241 0.971802213952 Henry Cohn, 2024.
3 242 0.971893361216 Henry Cohn, 2025.
3 243 0.971985441053 Henry Cohn, 2024.
3 244 0.972112111081 Henry Cohn, 2025.
3 245 0.972207255147 Henry Cohn, 2024.
3 246 0.972337795891 Henry Cohn, 2024.
3 247 0.972484516196 Henry Cohn, 2024.
3 248 0.972577587182 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 249 0.972727698402 Henry Cohn, 2024.
3 250 0.972802667761 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 251 0.972878488641 Henry Cohn, 2025.
3 252 0.973005270899 Henry Cohn, 2024.
3 253 0.973112111220 Henry Cohn, 2024.
3 254 0.973166293835 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 255 0.973336098901 Henry Cohn, 2025.
3 256 0.973419418775 Henry Cohn, 2024.
3 257 0.973518713646 Henry Cohn, 2024.
3 258 0.973601287197 Henry Cohn, 2024.
3 259 0.973687576212 Henry Cohn, 2024.
3 260 0.973743009714 Henry Cohn, 2024.
3 261 0.973920627055 Joseph Farland, 2026.
3 262 0.974027125019 Henry Cohn, 2024.
3 263 0.974151173293 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 264 0.974245195545 Henry Cohn, 2026.
3 265 0.974330655728 Henry Cohn, 2024.
3 266 0.974398317842 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 267 0.974465984042 Henry Cohn, 2025.
3 268 0.974543890479 Henry Cohn, 2024.
3 269 0.974603593005 Henry Cohn, 2024.
3 270 0.974616849625 T. Tarnai and Zs. Gáspár, Multi-symmetric close packings of equal spheres on the spherical surface, Acta Cryst. Sect. A 43 (1987), 612–616, doi:10.1107/S0108767387098842.
Minimal polynomial listed in plain text data
3 271 0.974808781632 Henry Cohn, 2024.
3 272 0.974950342892 Henry Cohn, 2024.
3 273 0.975065447378 Henry Cohn, 2024.
3 274 0.975124578016 Henry Cohn, 2024.
3 275 0.975240636386 Henry Cohn, 2024.
3 276 0.975319918238 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 277 0.975403368414 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 278 0.975464347279 Henry Cohn, 2024.
3 279 0.975521244170 Henry Cohn, 2024.
3 280 0.975556159117 Henry Cohn, 2024.
3 281 0.975696078155 Henry Cohn, 2024.
3 282 0.975817103894 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 283 0.975926949120 Henry Cohn, 2024.
3 284 0.976026277162 Henry Cohn, 2024.
3 285 0.976129872208 Henry Cohn, 2026.
3 286 0.976188116406 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 287 0.976292535597 Henry Cohn, 2024.
3 288 0.976363799835 Henry Cohn, 2026.
3 289 0.976439859800 Henry Cohn, 2024.
3 290 0.976500970455 Henry Cohn, 2024.
3 291 0.976554670637 Joseph Farland, 2026.
3 292 0.976605729892 Henry Cohn, 2024.
3 293 0.976711107353 Henry Cohn, 2024.
3 294 0.976800057925 Henry Cohn, 2024.
3 295 0.976890767574 Henry Cohn, 2024.
3 296 0.976945912178 Henry Cohn, 2024.
3 297 0.977073329897 Henry Cohn, 2024.
3 298 0.977138830798 Henry Cohn, 2026.
3 299 0.977212395551 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 300 0.977219217071 R. H. Hardin, N. J. A. Sloane, and W. D. Smith, Tables of spherical codes with icosahedral symmetry, 1994–2000.
Minimal polynomial listed in plain text data
3 301 0.977391298844 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 302 0.977456955231 Henry Cohn, 2026.
3 303 0.977523371220 Henry Cohn, 2024.
3 304 0.977583884150 Henry Cohn, 2024.
3 305 0.977632490985 Henry Cohn, 2024.
3 306 0.977703973587 Henry Cohn, 2026.
3 307 0.977813104101 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 308 0.977892051736 Henry Cohn, 2024.
3 309 0.977959539211 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 310 0.978012458009 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 311 0.978083973836 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 312 0.978120238531 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 313 0.978224526698 Henry Cohn, 2026.
3 314 0.978264314155 Henry Cohn, 2026.
3 315 0.978359778769 Henry Cohn, 2024.
3 316 0.978409720822 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 317 0.978487475787 Henry Cohn, 2024.
3 318 0.978544186966 Henry Cohn, 2026.
3 319 0.978603060123 Henry Cohn, 2024.
3 320 0.978663214407 Joseph Farland, 2026.
3 321 0.978700877038 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 322 0.978822176050 Henry Cohn, 2026.
3 323 0.978910839488 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 324 0.978990321564 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 325 0.979041935606 Henry Cohn, 2026.
3 326 0.979095312240 Henry Cohn, 2026.
3 327 0.979171371681 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 328 0.979218332061 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 329 0.979277581704 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 330 0.979323231314 Joseph Farland, 2026.
3 331 0.979372582064 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 332 0.979423824372 Henry Cohn, 2024.
3 333 0.979489441530 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 334 0.979582034493 Henry Cohn, 2024.
3 335 0.979641442751 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 336 0.979685804983 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 337 0.979751881774 Henry Cohn, 2026.
3 338 0.979838818714 Henry Cohn, 2024.
3 339 0.979890536212 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 340 0.979943505817 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 341 0.979999218383 Henry Cohn, 2026.
3 342 0.980044047715 Henry Cohn, 2024.
3 343 0.980089568464 Henry Cohn, 2026.
3 344 0.980135977822 Henry Cohn, 2024.
3 345 0.980197352542 Henry Cohn, 2026.
3 346 0.980273738964 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 347 0.980349152228 Henry Cohn, 2024.
3 348 0.980406501061 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 349 0.980459440970 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 350 0.980512031528 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 351 0.980569488890 Henry Cohn, 2026.
3 352 0.980617121866 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 353 0.980680058456 Joseph Farland, 2026.
3 354 0.980726880335 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 355 0.980776809933 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 356 0.980813672203 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 357 0.980859420724 Joseph Farland, 2026.
3 358 0.980900763921 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 359 0.980938721612 Henry Cohn, 2024.
3 360 0.980946761337 T. Tarnai and Zs. Gáspár, Multi-symmetric close packings of equal spheres on the spherical surface, Acta Cryst. Sect. A 43 (1987), 612–616, doi:10.1107/S0108767387098842.
3 361 0.981088226426 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 362 0.981160345806 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 363 0.981225268927 Henry Cohn, 2024.
3 364 0.981270920689 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 365 0.981314154564 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 366 0.981353471401 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 367 0.981412286847 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 368 0.981459173258 Joseph Farland, 2026.
3 369 0.981497997587 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 370 0.981557995905 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 371 0.981609476686 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 372 0.981655634463 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 373 0.981698533934 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 374 0.981743695439 Henry Cohn, 2024.
3 375 0.981791432540 Joseph Farland, 2026.
3 376 0.981824883332 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 377 0.981882566817 Henry Cohn, 2026.
3 378 0.981912909235 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 379 0.981950156081 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 380 0.981966079866 Henry Cohn, 2025.
3 381 0.982053259851 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 382 0.982136118975 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 383 0.982191165481 Henry Cohn, 2024.
3 384 0.982230214977 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 385 0.982275034690 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 386 0.982306280672 Henry Cohn, 2026.
3 387 0.982343568478 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 388 0.982373183313 Henry Cohn, 2024.
3 389 0.982413939800 Henry Cohn, 2026.
3 390 0.982435693243 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 391 0.982506919253 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 392 0.982576748727 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 393 0.982649357699 Henry Cohn, 2024.
3 394 0.982692285022 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 395 0.982725341006 Henry Cohn, 2026.
3 396 0.982755910583 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 397 0.982794828038 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 398 0.982818117650 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 399 0.982854638966 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 400 0.982905526758 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 401 0.982946647764 Henry Cohn, 2026.
3 402 0.982976847784 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 403 0.983046966156 Henry Cohn, 2026.
3 404 0.983109081049 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 405 0.983167968174 Henry Cohn, 2026.
3 406 0.983204574050 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 407 0.983235791643 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 408 0.983284547279 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 409 0.983324857501 Henry Cohn, 2024.
3 410 0.983353268157 Henry Cohn, 2026.
3 411 0.983397760620 Henry Cohn, 2024.
3 412 0.983427483278 Henry Cohn, 2026.
3 413 0.983461427167 Henry Cohn, 2024.
3 414 0.983493481130 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 415 0.983543363195 Henry Cohn, 2026.
3 416 0.983572356049 Henry Cohn, 2024.
3 417 0.983606250324 Henry Cohn, 2026.
3 418 0.983665319836 Henry Cohn, 2026.
3 419 0.983706848253 Henry Cohn, 2026.
3 420 0.983734207542 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 421 0.983788440545 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 422 0.983824020085 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 423 0.983865921021 Henry Cohn, 2026.
3 424 0.983899323392 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 425 0.983936730938 Henry Cohn, 2026.
3 426 0.983967656850 Henry Cohn, 2024.
3 427 0.984016858976 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 428 0.984058578523 Henry Cohn, 2026.
3 429 0.984081419316 Henry Cohn, 2026.
3 430 0.984128863366 Henry Cohn, 2026.
3 431 0.984165514392 Henry Cohn, 2024.
3 432 0.984201636678 Henry Cohn, 2024.
3 433 0.984244767708 Henry Cohn, 2026.
3 434 0.984271520387 Henry Cohn, 2026.
3 435 0.984318791801 Henry Cohn, 2026.
3 436 0.984357808757 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 437 0.984376596212 Henry Cohn, 2024.
3 438 0.984418580619 Joseph Farland, 2026.
3 439 0.984451115212 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 440 0.984472421765 Henry Cohn, 2024.
3 441 0.984527980944 Henry Cohn, 2024.
3 442 0.984558142424 Henry Cohn, 2026.
3 443 0.984592165183 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 444 0.984628415926 Henry Cohn, 2024.
3 445 0.984659816583 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 446 0.984697439545 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 447 0.984730509217 Henry Cohn, 2024.
3 448 0.984777682324 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 449 0.984791307536 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 450 0.984833102924 Henry Cohn, 2026.
3 451 0.984869055427 Henry Cohn, 2026.
3 452 0.984909861454 Joseph Farland, 2026.
3 453 0.984937980323 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 454 0.984965933474 Henry Cohn, 2026.
3 455 0.984994478749 Henry Cohn, 2024.
3 456 0.985025831529 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 457 0.985063607349 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 458 0.985097884587 Henry Cohn, 2024.
3 459 0.985118722612 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 460 0.985147607585 Henry Cohn, 2026.
3 461 0.985179263490 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 462 0.985218196632 Henry Cohn, 2026.
3 463 0.985251787009 Joseph Farland, 2026.
3 464 0.985293111953 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 465 0.985316294657 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 466 0.985354555719 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 467 0.985386081788 Henry Cohn, 2024.
3 468 0.985411837325 Henry Cohn, 2024.
3 469 0.985444627723 Henry Cohn, 2024.
3 470 0.985482640963 Henry Cohn, 2024.
3 471 0.985509915678 Henry Cohn, 2024.
3 472 0.985523632535 Henry Cohn, 2026.
3 473 0.985548106738 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 474 0.985570505310 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 475 0.985596615938 Henry Cohn, 2026.
3 476 0.985623149814 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 477 0.985650741616 Henry Cohn, 2026.
3 478 0.985679436933 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 479 0.985699793609 Henry Cohn, 2026.
3 480 0.985719122362 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 481 0.985785399613 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 482 0.985825647706 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 483 0.985863138317 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 484 0.985886123019 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 485 0.985916385938 Henry Cohn, 2026.
3 486 0.985929368687 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 487 0.985982794560 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 488 0.986000148916 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 489 0.986025640074 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 490 0.986059032195 Henry Cohn, 2026.
3 491 0.986086277740 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 492 0.986121929372 Henry Cohn, 2024.
3 493 0.986155966616 Henry Cohn, 2026.
3 494 0.986181734672 Henry Cohn, 2026.
3 495 0.986207408173 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 496 0.986232320520 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 497 0.986259328531 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 498 0.986298103712 Henry Cohn, 2024.
3 499 0.986323180888 Henry Cohn, 2024.
3 500 0.986340427741 Henry Cohn, 2026.
3 501 0.986368564388 Henry Cohn, 2026.
3 502 0.986394969781 Henry Cohn, 2026.
3 503 0.986426166596 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 504 0.986455469484 Henry Cohn, 2024.
3 505 0.986472546490 Henry Cohn, 2026.
3 506 0.986501598514 Henry Cohn, 2026.
3 507 0.986521542940 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 508 0.986538516038 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 509 0.986554423539 Joseph Farland, 2026.
3 510 0.986562939593 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 511 0.986616572016 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 512 0.986666379624 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 513 0.986692909532 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 514 0.986709721838 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 515 0.986744566867 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 516 0.986768384280 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 517 0.986792240600 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 518 0.986818513415 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 519 0.986838493720 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 520 0.986868464880 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 521 0.986893707501 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 522 0.986920225035 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 523 0.986949182919 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 524 0.986963939788 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 525 0.986992724300 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 526 0.987016403921 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 527 0.987044504114 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 528 0.987069504316 Henry Cohn, 2024.
3 529 0.987084162716 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 530 0.987121524163 Henry Cohn, 2024.
3 531 0.987141738237 Henry Cohn, 2024.
3 532 0.987160226139 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 533 0.987185368627 Henry Cohn, 2024.
3 534 0.987215557894 Henry Cohn, 2024.
3 535 0.987233366282 Henry Cohn, 2026.
3 536 0.987259191622 Henry Cohn, 2024.
3 537 0.987271183218 Henry Cohn, 2024.
3 538 0.987299318995 Henry Cohn, 2026.
3 539 0.987327535528 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 540 0.987347289033 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 541 0.987368175746 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 542 0.987387715909 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 543 0.987412608917 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 544 0.987439545583 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 545 0.987467942598 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 546 0.987481120065 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 547 0.987510589425 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 548 0.987533154648 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 549 0.987547178470 Henry Cohn, 2026.
3 550 0.987571544842 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 551 0.987602274171 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 552 0.987621804564 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 553 0.987646071395 Joseph Farland, 2026.
3 554 0.987669214076 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 555 0.987683367461 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 556 0.987718378190 Henry Cohn, 2024.
3 557 0.987733377337 Henry Cohn, 2026.
3 558 0.987755845204 Joseph Farland, 2026.
3 559 0.987780673607 Henry Cohn, 2026.
3 560 0.987795873231 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 561 0.987824825948 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 562 0.987837720422 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 563 0.987857321321 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 564 0.987882017649 Henry Cohn, 2026.
3 565 0.987909734682 Henry Cohn, 2026.
3 566 0.987930679295 Henry Cohn, 2024.
3 567 0.987952251042 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 568 0.987974408939 Henry Cohn, 2024.
3 569 0.987987569391 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 570 0.988006102760 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 571 0.988036994032 Henry Cohn, 2024.
3 572 0.988045142899 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 573 0.988070762308 Henry Cohn, 2026.
3 574 0.988094699833 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 575 0.988116092887 Henry Cohn, 2024.
3 576 0.988134624923 Henry Cohn, 2026.
3 577 0.988154372704 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 578 0.988175563349 Henry Cohn, 2026.
3 579 0.988197442095 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 580 0.988214394071 Henry Cohn, 2024.
3 581 0.988236302808 Henry Cohn, 2024.
3 582 0.988258915209 Henry Cohn, 2024.
3 583 0.988278440743 Henry Cohn, 2024.
3 584 0.988296366139 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 585 0.988316187693 Henry Cohn, 2024.
3 586 0.988336136398 Henry Cohn, 2024.
3 587 0.988354162127 Henry Cohn, 2026.
3 588 0.988367675855 Henry Cohn, 2026.
3 589 0.988390327285 Henry Cohn, 2024.
3 590 0.988407003702 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 591 0.988426256682 Henry Cohn, 2026.
3 592 0.988445621040 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 593 0.988464934407 Henry Cohn, 2026.
3 594 0.988487475426 Henry Cohn, 2026.
3 595 0.988509243513 Henry Cohn, 2026.
3 596 0.988525221197 Henry Cohn, 2026.
3 597 0.988541463766 Henry Cohn, 2026.
3 598 0.988561868043 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 599 0.988578635915 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 600 0.988601034992 Henry Cohn, 2026.
3 601 0.988621946438 Henry Cohn, 2024.
3 602 0.988636075049 Henry Cohn, 2026.
3 603 0.988654856575 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 604 0.988675027866 Henry Cohn, 2026.
3 605 0.988696128838 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 606 0.988711967568 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 607 0.988725982410 Henry Cohn, 2026.
3 608 0.988746033738 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 609 0.988760157529 Henry Cohn, 2024.
3 610 0.988782744953 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 611 0.988792862487 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 612 0.988809336511 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 613 0.988828529563 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 614 0.988847477277 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 615 0.988863827463 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 616 0.988878602395 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 617 0.988896394492 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 618 0.988916119542 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 619 0.988933693678 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 620 0.988948235960 R. H. Hardin, N. J. A. Sloane, and W. D. Smith, Tables of spherical codes with icosahedral symmetry, 1994–2000.
3 621 0.988978255021 Henry Cohn, 2026, needs more optimization.
3 622 0.988998181125 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 623 0.989012818314 Henry Cohn, 2024.
3 624 0.989034528790 Henry Cohn, 2024.
3 625 0.989046948812 Henry Cohn, 2026.
3 626 0.989070144515 Henry Cohn, 2026.
3 627 0.989079627522 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 628 0.989099043408 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 629 0.989116725768 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 630 0.989134691942 Henry Cohn, 2024.
3 631 0.989153918243 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 632 0.989172993109 Henry Cohn, 2024.
3 633 0.989188471837 Henry Cohn, 2024.
3 634 0.989200039625 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 635 0.989216285917 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 636 0.989241624238 Henry Cohn, 2026.
3 637 0.989255243380 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 638 0.989267204518 Henry Cohn, 2024.
3 639 0.989281046840 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 640 0.989297085361 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 641 0.989312593081 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 642 0.989329805069 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 643 0.989348238645 Henry Cohn, 2026.
3 644 0.989365915161 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 645 0.989382090433 Henry Cohn, 2026.
3 646 0.989398690989 Henry Cohn, 2024.
3 647 0.989412560581 Henry Cohn, 2026.
3 648 0.989430557399 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 649 0.989449726473 Henry Cohn, 2026.
3 650 0.989461420595 Henry Cohn, 2026.
3 651 0.989480978716 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 652 0.989499716514 Henry Cohn, 2026.
3 653 0.989517648783 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 654 0.989528389272 Henry Cohn, 2024.
3 655 0.989542872527 Henry Cohn, 2026.
3 656 0.989556026849 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 657 0.989574490806 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 658 0.989587009137 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 659 0.989608602207 Henry Cohn, 2026.
3 660 0.989620029682 Henry Cohn, 2026.
3 661 0.989637573715 Henry Cohn, 2026.
3 662 0.989651179949 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 663 0.989665484161 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 664 0.989677899896 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 665 0.989692677814 Henry Cohn, 2026.
3 666 0.989711167524 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 667 0.989717174328 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 668 0.989728785522 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 669 0.989746079452 Henry Cohn, 2026.
3 670 0.989765777159 Henry Cohn, 2024.
3 671 0.989779719224 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 672 0.989791610602 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 673 0.989807276832 Joseph Farland, 2026.
3 674 0.989824697607 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 675 0.989838886380 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 676 0.989847797726 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 677 0.989864933886 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 678 0.989876628024 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 679 0.989899118466 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 680 0.989913086445 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 681 0.989928112762 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 682 0.989945709785 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 683 0.989964518656 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 684 0.989976711497 Henry Cohn, 2026.
3 685 0.989995163911 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 686 0.990003142707 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 687 0.990010216029 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 688 0.990020260899 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 689 0.990024552353 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 690 0.990037282995 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 691 0.990043960408 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 692 0.990059892147 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 693 0.990078126327 Henry Cohn, 2026.
3 694 0.990102808403 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 695 0.990112272700 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 696 0.990130331424 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 697 0.990147701774 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 698 0.990161374832 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 699 0.990166705398 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 700 0.990174901053 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 701 0.990184990176 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 702 0.990195590101 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 703 0.990213229745 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 704 0.990233186422 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 705 0.990245026536 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 706 0.990262805505 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 707 0.990283848231 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 708 0.990305285637 Joseph Farland, 2026.
3 709 0.990319132804 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 710 0.990328587180 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 711 0.990343958242 Henry Cohn, 2026.
3 712 0.990354565631 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 713 0.990370582233 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 714 0.990386923851 Henry Cohn, 2026.
3 715 0.990398715014 Henry Cohn, 2026.
3 716 0.990417939893 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 717 0.990434938173 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 718 0.990448237688 Henry Cohn, 2024.
3 719 0.990458980758 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 720 0.990471209156 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 721 0.990485762733 Henry Cohn, 2026.
3 722 0.990495397549 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 723 0.990507919400 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 724 0.990520991399 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 725 0.990531189481 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 726 0.990541457417 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 727 0.990556718942 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 728 0.990571112681 Henry Cohn, 2026.
3 729 0.990579795229 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 730 0.990593435276 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 731 0.990608081832 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 732 0.990621413211 Henry Cohn, 2025.
3 733 0.990632985385 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 734 0.990650162640 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 735 0.990663385058 Henry Cohn, 2026.
3 736 0.990676481268 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 737 0.990689458192 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 738 0.990704677084 Henry Cohn, 2024.
3 739 0.990712590288 Henry Cohn, 2026.
3 740 0.990721213799 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 741 0.990733794060 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 742 0.990746157960 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 743 0.990759533708 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 744 0.990774364410 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 745 0.990784721154 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 746 0.990799932602 Henry Cohn, 2026.
3 747 0.990810745392 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 748 0.990815695073 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 749 0.990826003397 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 750 0.990838051026 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 751 0.990848217974 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 752 0.990863581859 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 753 0.990870643929 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 754 0.990891993351 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 755 0.990898642484 Henry Cohn, 2026.
3 756 0.990914918660 Henry Cohn, 2026, needs more optimization.
3 757 0.990928756985 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 758 0.990936585794 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 759 0.990951484335 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 760 0.990957124700 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 761 0.990973517083 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 762 0.990981734597 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 763 0.990993431032 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 764 0.991002970744 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 765 0.991019185526 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 766 0.991034013908 Henry Cohn, 2026.
3 767 0.991054056532 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 768 0.991061479408 Henry Cohn, 2026.
3 769 0.991072392291 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 770 0.991083942446 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 771 0.991091079354 Henry Cohn, 2026.
3 772 0.991105241909 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 773 0.991117732813 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 774 0.991131947577 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 775 0.991141407013 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 776 0.991149529111 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 777 0.991158600253 Henry Cohn, 2026, needs more optimization.
3 778 0.991168254412 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 779 0.991179307635 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 780 0.991194037221 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 781 0.991201092291 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 782 0.991209823270 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 783 0.991220387747 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 784 0.991231480431 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 785 0.991242274736 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 786 0.991257685325 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 787 0.991267590682 Henry Cohn, 2026.
3 788 0.991273019582 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 789 0.991284542834 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 790 0.991296688309 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 791 0.991308270678 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 792 0.991325838922 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 793 0.991334175935 Henry Cohn, 2026.
3 794 0.991349587606 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 795 0.991356236181 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 796 0.991369426758 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 797 0.991379427026 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 798 0.991393583265 Henry Cohn, 2026.
3 799 0.991401633829 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 800 0.991414851715 Henry Cohn, 2024.
3 801 0.991421033603 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 802 0.991433978804 Henry Cohn, 2026.
3 803 0.991445605885 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 804 0.991453184032 Henry Cohn, 2026.
3 805 0.991465239635 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 806 0.991476886053 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 807 0.991488929992 Henry Cohn, 2026.
3 808 0.991493793941 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 809 0.991501492895 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 810 0.991512174985 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 811 0.991524674958 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 812 0.991531103043 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 813 0.991543605594 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 814 0.991551790287 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 815 0.991560337197 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 816 0.991572185079 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 817 0.991586112194 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 818 0.991596766478 Henry Cohn, 2026.
3 819 0.991606231139 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 820 0.991615128351 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 821 0.991622916374 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 822 0.991630120699 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 823 0.991640013342 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 824 0.991646690065 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 825 0.991657082103 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 826 0.991667181952 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 827 0.991680209361 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 828 0.991691393645 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 829 0.991703450922 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 830 0.991715253156 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 831 0.991721242520 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 832 0.991732945510 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 833 0.991742037137 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 834 0.991752775115 Henry Cohn, 2026, needs more optimization.
3 835 0.991760041337 Henry Cohn, 2026.
3 836 0.991769617104 Henry Cohn, 2026.
3 837 0.991780131221 Henry Cohn, 2026.
3 838 0.991794727343 Henry Cohn, 2026.
3 839 0.991798530900 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 840 0.991804754582 Henry Cohn, 2026.
3 841 0.991814323308 Henry Cohn, 2026.
3 842 0.991823210380 Henry Cohn, 2026, needs more optimization.
3 843 0.991831775406 Henry Cohn, 2026.
3 844 0.991840474750 Henry Cohn, 2026.
3 845 0.991848392337 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 846 0.991857830172 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 847 0.991865754821 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 848 0.991873514728 Joseph Farland, 2026.
3 849 0.991880802104 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 850 0.991888525780 Henry Cohn, 2026.
3 851 0.991896810018 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 852 0.991904228567 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 853 0.991917862343 Henry Cohn, 2026.
3 854 0.991932276509 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 855 0.991947953670 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 856 0.991958393396 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 857 0.991973231686 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 858 0.991978647652 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 859 0.991988301922 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 860 0.991996118478 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 861 0.992005674809 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 862 0.992018174896 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 863 0.992022892213 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 864 0.992032415887 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 865 0.992040582257 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 866 0.992047848413 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 867 0.992054006385 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 868 0.992064723082 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 869 0.992074452525 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 870 0.992084018547 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 871 0.992091860800 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 872 0.992098615775 Joseph Farland, 2026.
3 873 0.992109617870 Henry Cohn, 2026.
3 874 0.992124402446 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 875 0.992135710044 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 876 0.992142967638 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 877 0.992152097695 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 878 0.992160218160 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 879 0.992168632589 Henry Cohn, 2026.
3 880 0.992180262010 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 881 0.992190732975 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 882 0.992196087596 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 883 0.992199976372 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 884 0.992209467978 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 885 0.992220538503 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 886 0.992228098391 Joseph Farland, 2026.
3 887 0.992240533431 Henry Cohn, 2026.
3 888 0.992245393079 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 889 0.992253961645 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 890 0.992261504290 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 891 0.992265971300 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 892 0.992273696320 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 893 0.992285843430 Henry Cohn, 2026, needs more optimization.
3 894 0.992295270577 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 895 0.992304056300 Henry Cohn, 2026, needs more optimization.
3 896 0.992316665272 Henry Cohn, 2026.
3 897 0.992321164025 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 898 0.992327140952 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 899 0.992344110337 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 900 0.992352106465 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 901 0.992359234184 Henry Cohn, 2026.
3 902 0.992369099341 Joseph Farland, 2026.
3 903 0.992378962019 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 904 0.992384596423 Joseph Farland, 2026.
3 905 0.992390846542 Robert Dallara, 2026.
3 906 0.992393188052 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 907 0.992398482461 Henry Cohn, 2026, needs more optimization.
3 908 0.992405488890 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 909 0.992412853581 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 910 0.992418187121 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 911 0.992427756496 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 912 0.992442625898 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 913 0.992455519013 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 914 0.992465768149 Henry Cohn, 2026.
3 915 0.992470735536 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 916 0.992479291385 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 917 0.992488544086 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 918 0.992497231420 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 919 0.992506926707 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 920 0.992517381322 Henry Cohn, 2026.
3 921 0.992523112381 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 922 0.992528233059 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 923 0.992535633780 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 924 0.992543154885 Henry Cohn, 2026, needs more optimization.
3 925 0.992551342218 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 926 0.992564263550 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 927 0.992575737598 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 928 0.992580120552 Henry Cohn, 2026.
3 929 0.992585214902 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 930 0.992591337458 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 931 0.992600474309 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 932 0.992609408897 Henry Cohn, 2026.
3 933 0.992617093350 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 934 0.992625097925 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 935 0.992632219766 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 936 0.992639869455 Joseph Farland, 2026.
3 937 0.992648583886 Joseph Farland, 2026.
3 938 0.992657288761 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 939 0.992669016906 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 940 0.992674971819 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 941 0.992684277552 Henry Cohn, 2026.
3 942 0.992693141287 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 943 0.992698541277 Henry Cohn, 2026.
3 944 0.992705304766 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 945 0.992715135656 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 946 0.992721463871 Henry Cohn, 2026.
3 947 0.992726438489 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 948 0.992731584231 Henry Cohn, 2026.
3 949 0.992738942637 Henry Cohn, 2026.
3 950 0.992747116974 Henry Cohn, 2026.
3 951 0.992759520003 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 952 0.992764719664 Henry Cohn, 2026, needs more optimization.
3 953 0.992773186849 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 954 0.992781955357 Henry Cohn, 2026.
3 955 0.992789383386 Henry Cohn, 2026.
3 956 0.992801093482 Henry Cohn, 2025.
3 957 0.992808104192 Henry Cohn, 2026.
3 958 0.992816504717 Henry Cohn, 2026.
3 959 0.992821957297 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 960 0.992825883272 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 961 0.992831971400 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 962 0.992839460899 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 963 0.992849642166 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 964 0.992857350140 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 965 0.992863972862 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 966 0.992867590030 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 967 0.992877230259 Henry Cohn, 2026.
3 968 0.992886923604 Henry Cohn, 2025.
3 969 0.992890968973 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 970 0.992894421291 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 971 0.992896819831 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 972 0.992902988265 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 973 0.992910977784 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 974 0.992923981672 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 975 0.992930956975 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 976 0.992935632714 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 977 0.992942744230 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 978 0.992949777445 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 979 0.992961076155 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 980 0.992972249550 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 981 0.992976001004 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 982 0.992985570311 Henry Cohn, 2026.
3 983 0.992994062523 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 984 0.993001297756 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 985 0.993004438724 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 986 0.993011059236 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 987 0.993015620954 Henry Cohn, 2026.
3 988 0.993022276224 Henry Cohn, 2026.
3 989 0.993033310079 Henry Cohn, 2026, needs more optimization.
3 990 0.993036756960 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 991 0.993043384691 Joseph Farland, 2026.
3 992 0.993051030395 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 993 0.993055411920 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 994 0.993059861326 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 995 0.993066714676 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 996 0.993072643327 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 997 0.993080702852 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 998 0.993087960168 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 999 0.993102821942 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 1000 0.993107834080 Henry Cohn, 2026.
3 1001 0.993116572986 Henry Cohn, 2026.
3 1002 0.993122106344 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 1003 0.993128661272 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 1004 0.993134943546 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 1005 0.993143455446 Joseph Farland, 2026.
3 1006 0.993151362276 Henry Cohn, 2026.
3 1007 0.993154661343 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 1008 0.993159005478 Henry Cohn, 2025.
3 1009 0.993168475797 Henry Cohn, 2026.
3 1010 0.993172909479 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 1011 0.993178583712 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 1012 0.993184601675 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 1013 0.993190658776 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 1014 0.993197832434 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 1015 0.993203743479 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 1016 0.993210816273 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 1017 0.993217901574 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 1018 0.993226210221 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 1019 0.993228818064 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 1020 0.993235373238 R. H. Hardin, N. J. A. Sloane, and W. D. Smith, Tables of spherical codes with icosahedral symmetry, 1994–2000.
3 1021 0.993242900895 Henry Cohn, 2026.
3 1022 0.993249794958 Henry Cohn, 2026.
3 1023 0.993255970150 Henry Cohn, 2026.
3 1024 0.993262297905 Henry Cohn, 2026.
4 9 0.162015199612 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
16⁢x3−16⁢x2−4⁢x+1
4 10* 0.166666666667 A. L. Mackay, The packing of three-dimensional spheres on the surface of a four-dimensional hypersphere, J. Phys. A 13 (1980), 3373–3379, doi:10.1088/0305-4470/13/11/011; C. Bachoc and F. Vallentin, Optimality and uniqueness of the (4,10,1/6) spherical code, J. Combin. Theory Ser. A 116 (2009), 195–204, doi:10.1016/j.jcta.2008.05.001.
6⁢x−1
4 11 0.230405563595 L. T. Wille, Close packing in curved space by simulated annealing, Journal of Physics A: Mathematical and General 20 (1987), L1211–L1218, doi:10.1088/0305-4470/20/17/014.
8⁢x3−12⁢x2−2⁢x+1
4 12 0.25 A. L. Mackay, The packing of three-dimensional spheres on the surface of a four-dimensional hypersphere, J. Phys. A 13 (1980), 3373–3379, doi:10.1088/0305-4470/13/11/011.
4⁢x−1
4 13 0.307295653982 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
5632⁢x9+9472⁢x8−3072⁢x7−5888⁢x6+544⁢x5+944⁢x4+152⁢x3−44⁢x2−14⁢x−1
4 14 0.319518594213 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
58⁢x7+174⁢x6+140⁢x5−16⁢x4−54⁢x3−10⁢x2+4⁢x+1
4 15 0.350992175946 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
36⁢x4−18⁢x3+10⁢x2−1
4 16 0.387628177123 A. L. Mackay, The packing of three-dimensional spheres on the surface of a four-dimensional hypersphere, J. Phys. A 13 (1980), 3373–3379, doi:10.1088/0305-4470/13/11/011.
256⁢x10+1024⁢x9+256⁢x8−1152⁢x7+160⁢x6+176⁢x5−144⁢x4+36⁢x3+37⁢x2−6⁢x−3
4 17 0.412259362694 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
4 18 0.422819414074 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
Minimal polynomial listed in plain text data
4 19 0.434258545911 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
3⁢x2+x−1
4 20 0.434258545911 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
3⁢x2+x−1
4 21 0.471380858508 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
16⁢x8−128⁢x7−64⁢x6+32⁢x5+72⁢x4+32⁢x3−16⁢x2−8⁢x+1
4 22 0.497884130844 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
4 23 0.5 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
2⁢x−1
4 24* 0.5 L. Schläfli, Theorie der vielfachen Kontinuität [1852], Denkschriften der Schweizerischen naturforschenden Gesellschaft, vol. 38, J. H. Graf, Bern, 1901; D. de Laat, N. Leijenhorst, and W. H. H. de Muinck Keizer, Optimality and uniqueness of the D4 root system, preprint, 2024, arXiv:2404.18794.
2⁢x−1
4 25 0.537316056656 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
4 26 0.540789617698 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
3392⁢x6+2112⁢x5−496⁢x4−656⁢x3−132⁢x2+6⁢x−1
4 27 0.557591351181 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
794⁢x5+393⁢x4−344⁢x3−82⁢x2+6⁢x+1
4 28 0.567338804075 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
4 29 0.573148530449 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
Minimal polynomial listed in plain text data
4 30 0.584232813931 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 31 0.590765838581 H. Cohn, Small spherical and projective codes, data set, updated 2024, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
4 32 0.595720149236 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
4 33 0.600755407756 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 34 0.610128556790 Henry Cohn, 2024.
4 35 0.621523986641 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 36 0.628309089475 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 37 0.630368722499 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
4 38 0.640732732793 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 39 0.646928247960 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
4 40 0.650497801063 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
4 41 0.655274051124 Henry Cohn, 2024.
4 42 0.658420878517 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 43 0.662667198430 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
4 44 0.668804906276 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
36⁢x8−60⁢x7+481⁢x6+166⁢x5−205⁢x4−116⁢x3+11⁢x2+10⁢x+1
4 45 0.676924957837 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 46 0.682325866078 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 47 0.685400852293 Henry Cohn, 2025.
4 48 0.689831186714 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 49 0.693413660571 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 50 0.693726127145 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
Minimal polynomial listed in plain text data
4 51 0.701375493264 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 52 0.703627792371 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 53 0.707671488219 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 54 0.709714380727 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 55 0.715661893754 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 56 0.719201427062 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 57 0.722366203194 Henry Cohn, 2025.
4 58 0.724963759986 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 59 0.726684594037 Henry Cohn, 2025.
4 60 0.728768479335 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 61 0.731517689032 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 62 0.733882910506 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 63 0.738725371284 Henry Cohn, 2025.
4 64 0.739558032728 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 65 0.742483255369 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 66 0.745996162085 Henry Cohn, 2025.
4 67 0.748966563154 Henry Cohn, 2025.
4 68 0.751044149551 Henry Cohn, 2025.
4 69 0.752628993819 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 70 0.753734038368 Henry Cohn, 2025.
4 71 0.756373364760 Henry Cohn, 2025.
4 72 0.758022144348 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 73 0.759191014470 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 74 0.759545691353 Henry Cohn, 2025.
4 75 0.760558878464 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 76 0.761064664765 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
Minimal polynomial listed in plain text data
4 77 0.765200782016 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 78 0.768765601292 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 79 0.773060404397 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 80 0.775691894892 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 81 0.777799033764 Henry Cohn, 2025.
4 82 0.779753559198 Henry Cohn, 2025.
4 83 0.781053544402 Henry Cohn, 2025.
4 84 0.782373204314 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 85 0.783715044186 Henry Cohn, 2024.
4 86 0.784899010819 Henry Cohn, 2026.
4 87 0.785487328991 Henry Cohn, 2025.
4 88 0.785927649195 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 89 0.788520093069 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 90 0.790391197000 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 91 0.791393154383 Henry Cohn, 2025.
4 92 0.792211293351 Henry Cohn, 2025.
4 93 0.793047017514 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 94 0.793553793569 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 95 0.796982807052 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 96 0.797980534415 Henry Cohn, 2025.
4 97 0.799480375605 Henry Cohn, 2023.
4 98 0.800757084766 Henry Cohn, 2026.
4 99 0.801793100994 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 100 0.803178722499 Henry Cohn, 2025.
4 101 0.803884649087 Henry Cohn, 2025.
4 102 0.804699654814 Henry Cohn, 2025.
4 103 0.805093331367 Henry Cohn, 2025.
4 104 0.806308735044 Henry Cohn, 2025.
4 105 0.807104881635 Henry Cohn, 2026.
4 106 0.807600771583 Henry Cohn, 2025.
4 107 0.808031793624 Henry Cohn, 2025.
4 108 0.808461453357 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 109 0.808686924144 Henry Cohn, 2026.
4 110 0.808927278464 Henry Cohn, 2026.
4 111 0.808991157916 Henry Cohn, 2025.
4 112 0.809016055614 Henry Cohn, 2025.
4 113 0.809016993589 Henry Cohn, 2026.
4 114 0.809016994375 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4⁢x2−2⁢x−1
4 115 0.809016994375 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4⁢x2−2⁢x−1
4 116 0.809016994375 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4⁢x2−2⁢x−1
4 117 0.809016994375 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4⁢x2−2⁢x−1
4 118 0.809016994375 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4⁢x2−2⁢x−1
4 119 0.809016994375 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4⁢x2−2⁢x−1
4 120* 0.809016994375 L. Schläfli, Theorie der vielfachen Kontinuität [1852], Denkschriften der Schweizerischen naturforschenden Gesellschaft, vol. 38, J. H. Graf, Bern, 1901; K. Böröczky, Packing of spheres in spaces of constant curvature, Acta Mathematica Academiae Scientiarum Hungarica 32 (1978), 243–261, doi:10.1007/BF01902361.
4⁢x2−2⁢x−1
4 121 0.824637992952 Henry Cohn, 2026.
4 122 0.826366133292 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 123 0.827329141763 Henry Cohn, 2026.
4 124 0.829076814196 Henry Cohn, 2025.
4 125 0.830275122838 Henry Cohn, 2025.
4 126 0.831265387603 Henry Cohn, 2026.
4 127 0.832257256453 Henry Cohn, 2026.
4 128 0.833179033616 Henry Cohn, 2026.
4 129 0.833853106202 Henry Cohn, 2025.
4 130 0.834729130389 Henry Cohn, 2025.
4 131 0.835330073631 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 132 0.835824295438 WolfFrogs, 2026.
4 133 0.836898862653 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 134 0.837404919734 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 135 0.837973296726 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 136 0.838381205119 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 137 0.838774742033 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 138 0.839060498538 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 139 0.839472488807 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 140 0.839788592759 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 141 0.840151651527 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 142 0.840928789319 Henry Cohn, 2025.
4 143 0.842625863066 Henry Cohn, 2025.
4 144 0.843224738610 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 145 0.845004703395 Henry Cohn, 2025.
4 146 0.846032955845 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 147 0.846808291003 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 148 0.847320837337 Henry Cohn, 2025.
4 149 0.847701351395 Henry Cohn, 2025.
4 150 0.848007962329 Henry Cohn, 2026, needs more optimization.
4 151 0.848381266848 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 152 0.848701931506 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 153 0.849102358280 Henry Cohn, 2026, needs more optimization.
4 154 0.849441145118 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 155 0.850521509148 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 156 0.852364181174 Henry Cohn, 2025.
4 157 0.853098036527 Henry Cohn, 2025.
4 158 0.853541001367 Henry Cohn, 2025.
4 159 0.853832223138 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 160 0.854015402705 Henry Cohn, 2025.
4 161 0.855034788504 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 162 0.856011990176 Henry Cohn, 2025.
4 163 0.856415430312 Henry Cohn, 2026, needs more optimization.
4 164 0.856668082967 Henry Cohn, 2025.
4 165 0.856908324217 Henry Cohn, 2024.
4 166 0.857225219240 Henry Cohn, 2025.
4 167 0.857623781724 Henry Cohn, 2025.
4 168 0.859313315479 Henry Cohn, 2026, needs more optimization.
4 169 0.860416214468 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 170 0.861163976919 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 171 0.861860457084 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 172 0.862259278969 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 173 0.862713337568 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 174 0.863032216222 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 175 0.863219626411 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 176 0.863541636392 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 177 0.863735316880 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 178 0.863916425407 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 179 0.864723195011 Henry Cohn, 2025.
4 180 0.865779496303 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 181 0.866478028994 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 182 0.866999103714 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 183 0.867321728092 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 184 0.867752439883 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 185 0.868210887137 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 186 0.868503854814 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 187 0.868812628892 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 188 0.869170807232 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 189 0.869490893942 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 190 0.870034930876 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 191 0.870814241870 Henry Cohn, 2025.
4 192 0.871291918040 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 193 0.871542554779 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 194 0.871792013221 Henry Cohn, 2025.
4 195 0.872104790050 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 196 0.872619850989 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 197 0.873486718836 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 198 0.874154745460 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 199 0.874934007957 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 200 0.875565480080 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 201 0.875972803452 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 202 0.876364532678 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 203 0.876769908942 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 204 0.877141575051 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 205 0.877397692359 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 206 0.877688778825 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 207 0.877931193622 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 208 0.878149163396 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 209 0.878612898618 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 210 0.879170006117 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 211 0.879424605083 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 212 0.879588052399 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 213 0.879782298893 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 214 0.879945189010 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 215 0.880272662054 Henry Cohn, 2025.
4 216 0.880886649220 Henry Cohn, 2026, needs more optimization.
4 217 0.881471958903 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 218 0.881811305066 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 219 0.881951865237 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 220 0.882544919478 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 221 0.882998375696 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 222 0.883456069925 Henry Cohn, 2025.
4 223 0.884116929277 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 224 0.884567598136 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 225 0.884939723272 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 226 0.885216117658 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 227 0.885494793921 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 228 0.885767422205 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 229 0.886031940795 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 230 0.886364304610 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 231 0.886733715692 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 232 0.887068100429 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 233 0.887295434839 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 234 0.887585611623 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 235 0.887849817683 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 236 0.888072337269 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 237 0.888442766077 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 238 0.888868274572 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 239 0.889105362853 Henry Cohn, 2026.
4 240 0.889477098095 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 241 0.889798189525 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 242 0.890094523657 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 243 0.890327494714 Henry Cohn, 2025.
4 244 0.890617063831 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 245 0.890928343137 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 246 0.891229627359 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 247 0.891664059840 Henry Cohn, 2026, needs more optimization.
4 248 0.891976307814 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 249 0.892189641969 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 250 0.892630822838 Henry Cohn, 2026, needs more optimization.
4 251 0.892919512389 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 252 0.893141824147 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 253 0.893447597246 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 254 0.893683630257 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 255 0.893979929375 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 256 0.894458817070 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 257 0.894676913068 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 258 0.894979744467 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 259 0.895312799200 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 260 0.895514991230 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 261 0.895719186710 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 262 0.895872566241 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 263 0.896110999549 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 264 0.896385068073 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 265 0.896712282757 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 266 0.896886624454 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 267 0.897043320127 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 268 0.897211713567 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 269 0.897441732637 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 270 0.897705134211 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 271 0.897956854415 WolfFrogs, 2026.
4 272 0.898160315150 Henry Cohn, 2026, needs more optimization.
4 273 0.898312901925 WolfFrogs, 2026.
4 274 0.898503213782 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 275 0.898694169669 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 276 0.898928185300 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 277 0.899220630949 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 278 0.899374768251 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 279 0.899512341354 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 280 0.899632074734 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 281 0.900108840945 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 282 0.900626807599 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 283 0.900975636655 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 284 0.901133046719 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 285 0.901205680841 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 286 0.901347768965 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 287 0.901396418795 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 288 0.901415628271 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 289 0.902147118232 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 290 0.902628071679 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 291 0.903091733725 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 292 0.903471504338 Henry Cohn, 2026, needs more optimization.
4 293 0.903697039427 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 294 0.903946299821 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 295 0.904181784760 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 296 0.904398447838 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 297 0.904599994876 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 298 0.904833641748 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 299 0.905024858068 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 300 0.905159316340 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 301 0.905262457728 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 302 0.905620556225 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 303 0.905822596112 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 304 0.905943119583 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 305 0.906204165764 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 306 0.906439446769 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 307 0.906617510667 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 308 0.906838944174 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 309 0.907006863599 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 310 0.907207162789 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 311 0.907401984102 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 312 0.907603233813 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 313 0.907776089481 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 314 0.908030505206 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 315 0.908208745438 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 316 0.908394033471 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 317 0.908606509747 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 318 0.908753795433 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 319 0.909011680864 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 320 0.909079582015 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 321 0.909394517495 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 322 0.909519528382 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 323 0.909658884266 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 324 0.909779049491 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 325 0.909962141544 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 326 0.910100840900 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 327 0.910270353608 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 328 0.910387032754 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 329 0.910628876799 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 330 0.910807685798 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 331 0.911059580294 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 332 0.911268209081 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 333 0.911437609294 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 334 0.911626472720 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 335 0.911849672707 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 336 0.911992187992 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 337 0.912164170114 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 338 0.912352631153 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 339 0.912515606927 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 340 0.912640809843 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 341 0.912704448322 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 342 0.912908591861 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 343 0.913079603359 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 344 0.913226634924 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 345 0.913344098227 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 346 0.913474514501 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 347 0.913618377940 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 348 0.913898303025 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 349 0.914227046037 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 350 0.914423114200 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 351 0.914622374712 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 352 0.914759341781 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 353 0.914881983628 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 354 0.915025153648 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 355 0.915195525316 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 356 0.915333949173 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 357 0.915491374249 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 358 0.915665862738 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 359 0.915800007084 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 360 0.915905644540 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 361 0.916085838571 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 362 0.916202789805 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 363 0.916327076943 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 364 0.916486139182 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 365 0.916632714449 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 366 0.916769332907 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 367 0.916882943297 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 368 0.916997602816 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 369 0.917089305858 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 370 0.917244360143 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 371 0.917382656503 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 372 0.917507365758 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 373 0.917613413609 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 374 0.917757694308 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 375 0.917869187384 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 376 0.918073458955 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 377 0.918295751435 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 378 0.918449847126 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 379 0.918602019312 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 380 0.918727311775 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 381 0.918764384124 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 382 0.918926834738 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 383 0.919093213712 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 384 0.919230655796 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 385 0.919321470081 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 386 0.919424431800 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 387 0.919471090970 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 388 0.919589210238 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 389 0.919716127189 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 390 0.919818909563 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 391 0.920032428628 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 392 0.920165144793 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 393 0.920335674071 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 394 0.920404904003 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 395 0.920469104165 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 396 0.920515273268 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 397 0.920799688032 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 398 0.920982368400 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 399 0.921124408215 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 400 0.921276273066 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 401 0.921422613549 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 402 0.921566162847 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 403 0.921633572367 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 404 0.921753416605 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 405 0.921828380890 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 406 0.921837336126 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 407 0.921920887005 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 408 0.921990209148 Pavlos Moros, 2026.
4 409 0.922310560935 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 410 0.922611954286 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 411 0.922696137610 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 412 0.922864899006 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 413 0.922993812241 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 414 0.923101515360 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 415 0.923223858695 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 416 0.923319766287 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 417 0.923435660747 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 418 0.923537420842 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 419 0.923706208207 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 420 0.923815406748 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 421 0.923948518035 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 422 0.924027593877 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 423 0.924253108786 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 424 0.924442506045 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 425 0.924562704668 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 426 0.924696351651 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 427 0.924813846888 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 428 0.924925377332 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 429 0.925038323965 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 430 0.925156636548 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 431 0.925274677385 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 432 0.925422507023 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 433 0.925585967502 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 434 0.925733111188 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 435 0.925828747686 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 436 0.925981018356 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 437 0.926181279530 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 438 0.926236314647 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 439 0.926359979175 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 440 0.926433800540 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 441 0.926576533486 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 442 0.926660828605 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 443 0.926720036198 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 444 0.926803706810 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 445 0.926869744975 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 446 0.927011244619 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 447 0.927113677301 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 448 0.927263989666 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 449 0.927408966142 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 450 0.927532979079 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 451 0.927636313398 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 452 0.927690958369 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 453 0.927828488180 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 454 0.927917008365 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 455 0.928005472897 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 456 0.928042848852 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 457 0.928136271665 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 458 0.928275996867 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 459 0.928416478248 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 460 0.928520053883 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 461 0.928585263252 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 462 0.928647513318 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 463 0.928759613535 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 464 0.928857519838 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 465 0.928943154324 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 466 0.929012388008 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 467 0.929098825548 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 468 0.929159239546 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 469 0.929313415841 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 470 0.929438846507 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 471 0.929598843661 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 472 0.929721825760 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 473 0.929807687242 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 474 0.929901406726 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 475 0.929964359143 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 476 0.930097236129 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 477 0.930188145395 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 478 0.930296064018 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 479 0.930401528539 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 480 0.930545201954 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 481 0.930618385950 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 482 0.930743558099 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 483 0.930829856163 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 484 0.930910368024 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 485 0.931022746840 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 486 0.931061346666 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 487 0.931186917778 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 488 0.931282048328 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 489 0.931375886074 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 490 0.931461221147 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 491 0.931593595014 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 492 0.931665131260 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 493 0.931799004441 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 494 0.931895093412 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 495 0.931909369123 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 496 0.931921419065 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 497 0.931940505913 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 498 0.931951374294 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 499 0.932215048081 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 500 0.932285528259 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 501 0.932303474261 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 502 0.932412526531 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 503 0.932505370373 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 504 0.932579933435 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 505 0.932659089384 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 506 0.932720245164 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 507 0.932811334891 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 508 0.932906571563 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 509 0.932978056461 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 510 0.933062128984 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 511 0.933132912148 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 512 0.933211302199 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 513 0.933275988108 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 514 0.933377024704 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 515 0.933450898046 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 516 0.933524406046 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 517 0.933693250256 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 518 0.933819334444 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 519 0.933909136763 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 520 0.933982317772 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 521 0.934135598766 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 522 0.934206487620 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 523 0.934327053585 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 524 0.934392219426 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 525 0.934547951146 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 526 0.934622453189 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 527 0.934702597820 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 528 0.934795043814 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 529 0.934876829410 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 530 0.934951125065 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 531 0.935031068759 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 532 0.935107225574 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 533 0.935242552051 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 534 0.935358750689 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 535 0.935439854771 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 536 0.935562198601 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 537 0.935659325268 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 538 0.935706361401 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 539 0.935737935789 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 540 0.935802498782 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 541 0.935873515729 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 542 0.935944032615 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 543 0.936006304478 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 544 0.936154524865 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 545 0.936221111385 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 546 0.936335610459 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 547 0.936490480827 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 548 0.936537324929 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 549 0.936574219761 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 550 0.936699030220 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 551 0.936702283265 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 552 0.936768397970 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 553 0.936835648341 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 554 0.936873884813 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 555 0.936961298805 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 556 0.937023383501 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 557 0.937100798508 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 558 0.937144124838 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 559 0.937225167567 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 560 0.937346229811 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 561 0.937426895826 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 562 0.937491593628 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 563 0.937577154909 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 564 0.937680472008 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 565 0.937800231577 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 566 0.937892617348 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 567 0.937963794107 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 568 0.937996126199 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 569 0.938027028757 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 570 0.938154642303 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 571 0.938230359263 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 572 0.938280581488 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 573 0.938353724488 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 574 0.938457338619 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 575 0.938502739020 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 576 0.938572386987 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 577 0.938641427650 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 578 0.938769629665 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 579 0.938783314467 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 580 0.938868557604 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 581 0.938925562336 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 582 0.939019826681 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 583 0.939107372100 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 584 0.939143916539 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 585 0.939245658019 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 586 0.939290380690 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 587 0.939424084629 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 588 0.939464069169 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 589 0.939528916278 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 590 0.939550503861 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 591 0.939654737245 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 592 0.939724668599 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 593 0.939762049242 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 594 0.939786472277 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 595 0.939811361634 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 596 0.939860305647 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 597 0.939926386737 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 598 0.939946467103 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 599 0.940042111801 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 600 0.940097119495 Pavlos Moros, 2026.
4 601 0.940182214938 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 602 0.940231380333 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 603 0.940290392987 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 604 0.940367472207 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 605 0.940435618156 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 606 0.940462738165 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 607 0.940557958186 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 608 0.940618202214 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 609 0.940693064134 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 610 0.940716205143 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 611 0.940797033998 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 612 0.940911466547 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 613 0.940957729163 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 614 0.940999770899 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 615 0.941075191710 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 616 0.941141268886 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 617 0.941222268047 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 618 0.941310643996 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 619 0.941373331459 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 620 0.941456959639 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 621 0.941496704722 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 622 0.941592089348 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 623 0.941648450005 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 624 0.941713433623 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 625 0.941808602871 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 626 0.941830498744 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 627 0.941942449574 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 628 0.942021537418 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 629 0.942040260705 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 630 0.942125194524 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 631 0.942180530796 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 632 0.942189565010 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 633 0.942254627842 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 634 0.942350794787 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 635 0.942407129863 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 636 0.942460144246 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 637 0.942482520602 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 638 0.942564736392 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 639 0.942567969557 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 640 0.942589870548 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 641 0.942675669836 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 642 0.942732646948 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 643 0.942744679211 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 644 0.942837887806 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 645 0.942851360858 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 646 0.942868954839 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 647 0.942898053750 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 648 0.942992479275 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 649 0.943021322452 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 650 0.943088530106 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 651 0.943145893831 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 652 0.943221759596 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 653 0.943289041433 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 654 0.943323310054 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 655 0.943352395614 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 656 0.943401605464 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 657 0.943443073277 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 658 0.943495125067 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 659 0.943527378522 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 660 0.943580053338 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 661 0.943618337711 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 662 0.943647927785 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 663 0.943676068419 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 664 0.943734441370 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 665 0.943740693557 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 666 0.943792672884 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 667 0.943811621739 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 668 0.943841753416 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 669 0.943884725662 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 670 0.943916174655 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 671 0.943967269611 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 672 0.944025446645 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 673 0.944105028323 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 674 0.944148489722 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 675 0.944213477277 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 676 0.944287210519 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 677 0.944333159000 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 678 0.944363147553 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 679 0.944401746694 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 680 0.944431798875 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 681 0.944528708927 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 682 0.944555120962 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 683 0.944663421075 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 684 0.944718310569 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 685 0.944768305408 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 686 0.944929032714 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 687 0.944943986604 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 688 0.945100382588 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 689 0.945132443173 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 690 0.945198599823 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 691 0.945261722428 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 692 0.945336877759 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 693 0.945381500780 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 694 0.945439524536 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 695 0.945509879246 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 696 0.945556552158 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 697 0.945639822460 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 698 0.945703283256 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 699 0.945728696446 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 700 0.945820175996 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 701 0.945862510237 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 702 0.945962987139 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 703 0.945977753990 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 704 0.946087213421 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 705 0.946152396131 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 706 0.946152748911 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 707 0.946259796508 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 708 0.946286342940 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 709 0.946364859753 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 710 0.946403867806 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 711 0.946409184896 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 712 0.946461030640 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 713 0.946492477488 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 714 0.946597875200 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 715 0.946625332463 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 716 0.946668399469 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 717 0.946717501239 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 718 0.946754785388 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 719 0.946808253896 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 720 0.946828104539 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 721 0.946880525272 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 722 0.946907452604 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 723 0.946964782093 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 724 0.946992181120 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 725 0.947016111348 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 726 0.947031272120 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 727 0.947099084793 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 728 0.947144277605 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 729 0.947217920771 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 730 0.947239135778 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 731 0.947294771264 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 732 0.947365704984 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 733 0.947366619953 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 734 0.947394067886 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 735 0.947473186439 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 736 0.947537370545 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 737 0.947557585750 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 738 0.947597280193 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 739 0.947670243107 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 740 0.947684593317 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 741 0.947770307050 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 742 0.947808051524 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 743 0.947851247914 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 744 0.947865855613 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 745 0.947914705677 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 746 0.947928401743 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 747 0.947983365551 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 748 0.948004668667 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 749 0.948047296705 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 750 0.948072476621 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 751 0.948155371097 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 752 0.948182863133 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 753 0.948222209895 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 754 0.948284611684 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 755 0.948303350124 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 756 0.948355333534 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 757 0.948401411730 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 758 0.948417124868 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 759 0.948484774090 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 760 0.948532537645 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 761 0.948596434011 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 762 0.948633173105 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 763 0.948677246953 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 764 0.948723328169 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 765 0.948764100221 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 766 0.948822520815 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 767 0.948835198622 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 768 0.948896030103 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 769 0.948948023481 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 770 0.948995710233 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 771 0.949031485705 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 772 0.949050577613 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 773 0.949096008541 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 774 0.949145814195 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 775 0.949180462173 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 776 0.949230130432 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 777 0.949283342506 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 778 0.949309179335 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 779 0.949326324235 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 780 0.949398194084 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 781 0.949410601333 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 782 0.949441873131 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 783 0.949478588835 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 784 0.949533994177 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 785 0.949551425845 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 786 0.949631909438 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 787 0.949639118353 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 788 0.949681281639 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 789 0.949710785066 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 790 0.949776820023 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 791 0.949779506978 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 792 0.949834997379 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 793 0.949867188509 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 794 0.949896532478 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 795 0.949908786714 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 796 0.949953237934 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 797 0.950011956235 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 798 0.950017741401 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 799 0.950060801725 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 800 0.950064117129 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 801 0.950108412772 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 802 0.950109031048 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 803 0.950164853961 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 804 0.950177035802 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 805 0.950222901794 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 806 0.950224337197 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 807 0.950246632070 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 808 0.950275878751 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 809 0.950296638182 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 810 0.950334993743 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 811 0.950370945084 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 812 0.950374358335 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 813 0.950404392155 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 814 0.950407691863 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 815 0.950438563427 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 816 0.950448275553 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 817 0.950493997980 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 818 0.950519662663 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 819 0.950528775384 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 820 0.950557305890 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 821 0.950567739679 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 822 0.950595331679 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 823 0.950598961936 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 824 0.950622331945 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 825 0.950641800333 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 826 0.950655089105 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 827 0.950666151522 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 828 0.950682658845 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 829 0.950682659515 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 830 0.950699235322 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 831 0.950707846321 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 832 0.950732492617 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 833 0.950745012895 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 834 0.950749338051 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 835 0.950760231063 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 836 0.950761230198 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 837 0.950764138804 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 838 0.950779009109 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 839 0.950791291943 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 840 0.950791926923 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 841 0.950943339702 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 842 0.951015909382 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 843 0.951101469731 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 844 0.951162769106 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 845 0.951266655116 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 846 0.951316305793 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 847 0.951318556932 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 848 0.951395150901 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 849 0.951423384754 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 850 0.951430620497 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 851 0.951459190721 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 852 0.951489130056 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 853 0.951716677015 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 854 0.951729923179 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 855 0.951859351191 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 856 0.951865709663 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 857 0.951907792562 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 858 0.951996410323 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 859 0.952108324272 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 860 0.952184595382 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 861 0.952252015128 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 862 0.952338572245 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 863 0.952354991043 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 864 0.952453078432 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 865 0.952515770601 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 866 0.952534007654 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 867 0.952549573810 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 868 0.952681862681 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 869 0.952735118428 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 870 0.952772544980 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 871 0.952791315646 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 872 0.952821819599 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 873 0.952873645407 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 874 0.952879590725 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 875 0.952916578385 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 876 0.952955686715 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 877 0.953001952698 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 878 0.953039823470 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 879 0.953080029699 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 880 0.953090944843 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 881 0.953119811269 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 882 0.953165608125 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 883 0.953175327541 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 884 0.953185498287 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 885 0.953196940320 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 886 0.953223340798 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 887 0.953247610127 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 888 0.953280064104 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 889 0.953320820869 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 890 0.953355339685 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 891 0.953362343336 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 892 0.953409090988 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 893 0.953433408536 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 894 0.953450773960 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 895 0.953483912629 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 896 0.953525063106 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 897 0.953536429924 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 898 0.953588208363 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 899 0.953599881643 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 900 0.953654112934 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 901 0.953709460343 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 902 0.953750536510 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 903 0.953777766643 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 904 0.953808830735 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 905 0.953859976970 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 906 0.953901297585 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 907 0.953937682287 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 908 0.954021639051 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 909 0.954049509324 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 910 0.954057276222 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 911 0.954094104113 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 912 0.954109946207 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 913 0.954132218208 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 914 0.954151542259 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 915 0.954160060529 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 916 0.954174283072 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 917 0.954178871220 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 918 0.954272679410 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 919 0.954289570155 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 920 0.954319218791 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 921 0.954367803728 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 922 0.954419503678 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 923 0.954458248401 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 924 0.954500861566 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 925 0.954544366870 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 926 0.954579307498 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 927 0.954638435261 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 928 0.954674703124 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 929 0.954707865092 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 930 0.954752285298 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 931 0.954794335400 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 932 0.954814046648 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 933 0.954846167264 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 934 0.954875010234 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 935 0.954911641901 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 936 0.954962260609 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 937 0.954991117846 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 938 0.955025382680 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 939 0.955057023277 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 940 0.955107133488 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 941 0.955150661487 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 942 0.955184554658 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 943 0.955210502918 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 944 0.955250569915 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 945 0.955275199279 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 946 0.955291627189 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 947 0.955322998953 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 948 0.955335403501 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 949 0.955367078001 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 950 0.955392727016 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 951 0.955413714247 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 952 0.955429640040 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 953 0.955474799588 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 954 0.955505847073 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 955 0.955543342145 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 956 0.955587905426 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 957 0.955622150851 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 958 0.955669795046 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 959 0.955696617124 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 960 0.955722461199 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 961 0.955760256853 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 962 0.955832832597 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 963 0.955854026331 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 964 0.955867587260 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 965 0.955942206192 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 966 0.955966822152 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 967 0.955975653685 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 968 0.956022111917 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 969 0.956028968485 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 970 0.956035331517 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 971 0.956064383557 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 972 0.956071941362 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 973 0.956113888719 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 974 0.956128382416 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 975 0.956150008786 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 976 0.956208658004 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 977 0.956236080980 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 978 0.956285141307 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 979 0.956302456832 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 980 0.956342533596 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 981 0.956388634275 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 982 0.956417991917 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 983 0.956437835001 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 984 0.956480708377 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 985 0.956524751286 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 986 0.956555784898 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 987 0.956592344476 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 988 0.956615004100 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 989 0.956648224504 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 990 0.956691136018 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 991 0.956698206925 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 992 0.956776420341 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 993 0.956813658963 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 994 0.956828154755 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 995 0.956848586365 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 996 0.956849862854 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 997 0.956855452938 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 998 0.956915199749 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 999 0.956924087999 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1000 0.956933999617 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1001 0.956964207496 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1002 0.956990925480 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1003 0.957017690573 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1004 0.957090911076 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1005 0.957108003816 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1006 0.957124623111 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1007 0.957166110152 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1008 0.957168977847 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1009 0.957185456107 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1010 0.957228338256 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1011 0.957265914684 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1012 0.957284869662 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1013 0.957343108428 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1014 0.957383881934 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1015 0.957402820548 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1016 0.957475815939 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1017 0.957493487489 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1018 0.957497097726 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1019 0.957564837622 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1020 0.957594799794 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1021 0.957595439534 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1022 0.957619611147 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1023 0.957643408055 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1024 0.957687947999 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 11 0.132853542599 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
45⁢x3−25⁢x2−5⁢x+1
5 12 0.153931605034 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
25⁢x4+30⁢x3+24⁢x2+2⁢x−1
5 13 0.187259851883 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
17⁢x3−5⁢x2−5⁢x+1
5 14 0.2 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
5⁢x−1
5 15 0.2 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
5⁢x−1
5 16* 0.2 T. Gosset, On the regular and semi-regular figures in space of n dimensions, Messenger Math. 29 (1900), 43–48; V. I. Levenšteĭn, On bounds for packings in n-dimensional Euclidean space (Russian), Dokl. Akad. Nauk SSSR 245 (1979), 1299–1303, English translation in Soviet Math. Dokl. 20 (1979), 417–421.
5⁢x−1
5 17 0.270475835269 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
9⁢x4−16⁢x3−10⁢x2+1
5 18 0.275501741660 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
484⁢x5−488⁢x4+97⁢x3+17⁢x2−x−1
5 19 0.291822399025 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
57⁢x6−38⁢x5−109⁢x4+32⁢x3+23⁢x2−10⁢x+1
5 20 0.299385692900 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
5⁢x3+13⁢x2−x−1
5 21 0.314916957176 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
Minimal polynomial listed in plain text data
5 22 0.354995034167 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 23 0.369772696944 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 24 0.374232982466 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
1620⁢x10+5508⁢x9−5751⁢x8−2406⁢x7+2055⁢x6+276⁢x5+559⁢x4−210⁢x3−127⁢x2+48⁢x−4
5 25 0.379621025394 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
5 26 0.390240659505 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
Minimal polynomial listed in plain text data
5 27 0.401659264277 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
Minimal polynomial listed in plain text data
5 28 0.408169699093 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 29 0.411034435092 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
Minimal polynomial listed in plain text data
5 30 0.413029776123 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
269⁢x7−1419⁢x6−283⁢x5+405⁢x4+15⁢x3−9⁢x2−x−1
5 31 0.433911863960 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
Minimal polynomial listed in plain text data
5 32 0.441830743928 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
8⁢x10−40⁢x9+74⁢x8−78⁢x7+73⁢x6−10⁢x5−3⁢x4+18⁢x3−9⁢x2−2⁢x+1
5 33 0.460004535963 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
5 34 0.470482910392 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 35 0.478437929066 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 36 0.483999000231 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
49⁢x6−6⁢x5−53⁢x4+12⁢x3+13⁢x2−2⁢x−1
5 37 0.493828518526 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 38 0.496243746648 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 39 0.499971927191 Henry Cohn, 2025.
5 40 0.5 A. Korkine and G. Zolotareff, Sur les formes quadratiques, Math. Ann. 6 (1873), 366–389, doi:10.1007/BF01442795; J. Leech, Five dimensional non-lattice sphere packings, Canad. Math. Bull. 10 (1967), 387–393, doi:10.4153/CMB-1967-037-5; F. Szöllősi, A note on five dimensional kissing arrangements, Math. Res. Lett. 30 (2023), no. 5, 1609–1615, doi:10.4310/MRL.2023.v30.n5.a13, arXiv:2301.08272; H. Cohn and I. Rajagopal, Variations on five-dimensional sphere packings, preprint, 2024, arXiv:2412.00937.
2⁢x−1
5 41 0.514705973641 Kevin Li, 2026.
5 42 0.518241155863 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 43 0.524709601830 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 44 0.527457712324 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 45 0.535068808289 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 46 0.538291308677 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 47 0.540668770936 Henry Cohn, 2025.
5 48 0.545112501822 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 49 0.546918160679 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
7⁢x2−2⁢x−1
5 50 0.546918160679 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
7⁢x2−2⁢x−1
5 51 0.554740414282 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 52 0.560107395820 Henry Cohn, 2025.
5 53 0.566883217391 Henry Cohn, 2025.
5 54 0.571075948469 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 55 0.574604319465 Henry Cohn, 2025.
5 56 0.577211861101 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 57 0.577350269190 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3⁢x2−1
5 58 0.581466614772 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 59 0.586915485192 Henry Cohn, 2025.
5 60 0.593346597794 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 61 0.596251134208 Henry Cohn, 2025.
5 62 0.599005179291 Henry Cohn, 2023.
5 63 0.603554375176 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 64 0.605837370318 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 65 0.608465017856 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 66 0.608980005147 Henry Cohn, 2025.
5 67 0.611900403428 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 68 0.615240038880 Henry Cohn, 2025.
5 69 0.616793716634 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 70 0.617072261706 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 71 0.617972684614 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 72 0.617972684614 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 73 0.618033988750 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
x2+x−1
5 74 0.618033988750 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
x2+x−1
5 75 0.624659315083 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 76 0.631404527694 Henry Cohn, 2025.
5 77 0.636485570257 Henry Cohn, 2025.
5 78 0.640234003194 Henry Cohn, 2026.
5 79 0.643522691535 Henry Cohn, 2026.
5 80 0.643720731795 Henry Cohn, 2026.
5 81 0.643769373768 Kevin Li, 2026.
7⁢x4+12⁢x3−2⁢x2−4⁢x−1
5 82 0.651451517528 Henry Cohn, 2025.
5 83 0.655397827372 Henry Cohn, 2026.
5 84 0.657363219512 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 85 0.659252981910 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 86 0.660931731561 Henry Cohn, 2025.
5 87 0.662618952049 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 88 0.664474200258 Henry Cohn, 2026.
5 89 0.666241382508 Henry Cohn, 2025.
5 90 0.666666666667 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
3⁢x−2
5 91 0.670415108805 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 92 0.671609349084 Henry Cohn, 2026.
5 93 0.673569382595 Henry Cohn, 2026.
5 94 0.674223122932 Henry Cohn, 2026.
5 95 0.674300440403 Henry Cohn, 2026.
5 96 0.674322195950 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 98 0.674324398545 Kevin Li, 2026.
71⁢x6−26⁢x5+21⁢x4−12⁢x3−3⁢x2−2⁢x−1
5 99 0.681881045310 Henry Cohn, 2025.
5 100 0.683153263764 Henry Cohn, 2025.
5 101 0.685186090412 Henry Cohn, 2025.
5 102 0.687426161854 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 103 0.688556975924 Henry Cohn, 2026.
5 104 0.689316429043 Henry Cohn, 2026.
5 105 0.690711966676 Henry Cohn, 2026.
5 106 0.692005491905 Henry Cohn, 2025.
5 107 0.693863512900 Henry Cohn, 2025.
5 108 0.695186314989 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 109 0.696434500115 Henry Cohn, 2025.
5 110 0.697959104275 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 111 0.699314980427 Henry Cohn, 2026.
5 112 0.700442780805 Henry Cohn, 2026.
5 113 0.701786576995 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 114 0.702924665447 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 115 0.704050978289 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 116 0.705292505873 Henry Cohn, 2025.
5 117 0.706815348305 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 118 0.707921087441 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 119 0.709175837480 Henry Cohn, 2026.
5 120 0.710234646534 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 121 0.711494596608 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 122 0.712249276837 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 123 0.713918633096 Henry Cohn, 2025.
5 124 0.715011517303 Henry Cohn, 2026.
5 125 0.716280109450 Henry Cohn, 2026.
5 126 0.717123270108 Henry Cohn, 2026.
5 127 0.718579275824 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 128 0.719621301444 Henry Cohn, 2025.
5 129 0.720741141724 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 130 0.721711816020 Henry Cohn, 2025.
5 131 0.722746059158 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 132 0.723032119340 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 133 0.725045590778 WolfFrogs, 2026.
5 134 0.726115703492 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 135 0.726958825422 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 136 0.727714141126 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 137 0.728315486874 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 138 0.729430223730 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 139 0.730458979416 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 140 0.731467572640 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 141 0.732050409733 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 142 0.732990908903 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 143 0.733987775534 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 144 0.734665201204 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 145 0.735475119910 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 146 0.736013872443 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 147 0.736834565433 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 148 0.737200174837 Henry Cohn, 2025.
5 149 0.737583885876 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 150 0.737851082738 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 151 0.739099171806 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 152 0.739610877133 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 153 0.740466081028 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 154 0.741203903697 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 155 0.742130735822 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 156 0.742620793805 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 157 0.743154773867 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 158 0.743483529478 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 159 0.743809855738 Henry Cohn, 2026, needs more optimization.
5 160 0.744133760181 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 161 0.747604595136 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 162 0.748758439671 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 163 0.750006570111 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 164 0.750869025261 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 165 0.751869035248 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 166 0.752534073395 Henry Cohn, 2025.
5 167 0.753185844098 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 168 0.753194014355 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 169 0.753433230034 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 170 0.753669151087 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 171 0.756593661726 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 172 0.757288355849 Henry Cohn, 2025.
5 173 0.758561688405 Henry Cohn, 2026, needs more optimization.
5 174 0.759545327556 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 175 0.760533290441 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 176 0.760864184788 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 177 0.761596904179 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 178 0.762101626550 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 179 0.762744044321 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 180 0.763133113335 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 181 0.763915042964 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 182 0.764190108373 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 183 0.764295534277 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 184 0.764951342589 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 185 0.765075250260 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 186 0.765120155114 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 187 0.765217221581 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 188 0.765508745445 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 189 0.765605237403 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 190 0.765953206124 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 191 0.767840675119 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 192 0.768912314443 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 193 0.769713741000 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 194 0.770677258308 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 195 0.770846884809 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 196 0.772368521742 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 197 0.772961996501 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 198 0.773535098509 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 199 0.773844972790 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 200 0.774612560000 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 201 0.775304817912 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 202 0.775876129293 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 203 0.776548082493 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 204 0.777218408765 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 205 0.777898342721 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 206 0.778512531189 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 207 0.779019805504 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 208 0.779695418936 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 209 0.780183809735 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 210 0.780691953810 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 211 0.781069154614 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 212 0.781582875276 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 213 0.782186921459 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 214 0.782809286522 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 215 0.783431882188 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 216 0.783736478918 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 217 0.784279038708 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 218 0.784572780823 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 219 0.784576385592 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 220 0.785603539656 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 221 0.786114404540 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 222 0.786424039661 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 223 0.786877745923 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 224 0.787299615716 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 225 0.787723382777 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 226 0.788135770872 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 227 0.788528450686 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 228 0.789017248526 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 229 0.789353134102 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 230 0.789675395585 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 231 0.789990075951 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 232 0.790720438427 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 233 0.791209625064 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 234 0.791722276729 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 235 0.792059162750 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 236 0.792438145486 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 237 0.792747940452 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 238 0.793102888796 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 239 0.793430770551 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 240 0.793736551712 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 241 0.794277703957 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 242 0.794849340301 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 243 0.795396446331 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 244 0.795769860964 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 245 0.796368395673 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 246 0.796587435072 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 247 0.797176517939 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 248 0.797637065905 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 249 0.798234979444 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 250 0.798443969205 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 251 0.799011079350 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 252 0.799172492360 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 253 0.799625909629 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 254 0.800193200907 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 255 0.800351557878 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 256 0.800573541133 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 257 0.801216403572 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 258 0.801427260606 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 259 0.801831460720 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 260 0.801897768063 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 261 0.801935179147 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 262 0.801952549804 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 263 0.802008898378 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 264 0.803354223938 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 265 0.803700108033 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 266 0.803734156140 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 267 0.803857259638 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 268 0.804607741422 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 269 0.804757416041 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 270 0.805082291364 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 271 0.805251516373 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 272 0.805301665051 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 273 0.805393825471 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 274 0.805435530631 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 275 0.805478338724 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 276 0.806061919308 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 277 0.806144106166 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 278 0.806281731023 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 279 0.806617428909 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 280 0.806767714460 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 281 0.806945159687 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 282 0.807123589667 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 283 0.807596704143 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 284 0.808036122156 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 285 0.808532269541 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 286 0.808822971693 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 287 0.809376058812 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 288 0.809730904825 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 289 0.810378734605 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 290 0.810952500751 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 291 0.811481566299 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 292 0.812008448325 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 293 0.812400958598 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 294 0.812930870163 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 295 0.813367847792 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 296 0.813903277123 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 297 0.814351054082 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 298 0.814815971786 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 299 0.815220879730 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 300 0.815455960214 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 301 0.815859703186 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 302 0.816198784272 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 303 0.816650752516 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 304 0.816795191466 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 305 0.817272777483 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 306 0.817485960430 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 307 0.817868570638 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 308 0.817965964023 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 309 0.818304299218 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 310 0.818599863594 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 311 0.818835449012 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 312 0.819134341448 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 313 0.819392937598 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 314 0.819673799486 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 315 0.819796782048 Pavlos Moros, 2026.
5 316 0.819894903344 Pavlos Moros, 2026.
5 317 0.819911507979 Pavlos Moros, 2026.
5 318 0.820184295195 Pavlos Moros, 2026.
5 319 0.820581706782 Pavlos Moros, 2026.
5 320 0.820663042108 Pavlos Moros, 2026.
5 321 0.820848252119 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 322 0.820852185384 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 323 0.820979566028 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 324 0.821970057454 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 325 0.822158487424 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 326 0.822207521093 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 327 0.822377499263 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 328 0.822423204306 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 329 0.823124478781 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 330 0.823137690011 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 331 0.823207868886 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 332 0.823654365040 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 333 0.824112210231 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 334 0.824394821996 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 335 0.824434150441 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 336 0.824961736211 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 337 0.825047240930 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 338 0.825288968466 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 339 0.825758346829 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 340 0.826111652287 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 341 0.826261733060 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 342 0.826652934896 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 343 0.826923501062 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 344 0.827224428941 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 345 0.827516615966 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 346 0.827886283212 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 347 0.828148846933 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 348 0.828307114142 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 349 0.828766891980 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 350 0.828903862252 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 351 0.829088266452 Robert Dallara, 2026.
5 352 0.829660112261 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 353 0.829762402883 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 354 0.830269171043 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 355 0.830505472088 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 356 0.830780605174 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 357 0.830961923290 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 358 0.831100939988 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 359 0.831556690665 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 360 0.831850886248 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 361 0.832095195023 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 362 0.832380897166 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 363 0.832599718356 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 364 0.832964948869 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 365 0.833151489358 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 366 0.833436530670 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 367 0.833679488429 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 368 0.833734460532 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 369 0.833742578935 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 370 0.833758275359 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 371 0.833881480550 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 372 0.833922261245 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 373 0.834769346989 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 374 0.834941073089 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 375 0.835053464371 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 376 0.835274326828 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 377 0.835322974862 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 378 0.835495507917 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 379 0.835613585857 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 380 0.835798944758 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 381 0.836575962623 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 382 0.836681609120 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 383 0.836832099191 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 384 0.836950183044 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 385 0.837369349968 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 386 0.837508592649 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 387 0.837903392627 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 388 0.837985412940 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 389 0.838490511247 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 390 0.838598342420 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 391 0.839294447966 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 392 0.839554351322 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 393 0.839751885901 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 394 0.839810850510 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 395 0.839901200428 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 396 0.840337424115 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 397 0.840546591840 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 398 0.840728368664 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 399 0.840910478964 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 400 0.841080197190 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 401 0.841149563946 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 402 0.842053003314 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 403 0.842064169061 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 404 0.842163354525 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 405 0.842410999145 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 406 0.842583492344 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 407 0.842637677970 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 408 0.842844795697 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 409 0.843249306022 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 410 0.843322223147 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 411 0.843425642435 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 412 0.843579078529 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 417 0.843584441333 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 418 0.843773641710 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 419 0.843940368335 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 423 0.844158445285 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 424 0.844338546601 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 425 0.844393798173 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 427 0.844458795002 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 428 0.844543990853 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 429 0.844601467897 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 430 0.844678277437 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 431 0.844788071208 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 432 0.844937131391 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 433 0.845181170275 Pavlos Moros, 2026.
5 434 0.845230861204 Pavlos Moros, 2026.
5 437 0.845448218046 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 438 0.845554848197 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 439 0.845748521025 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 440 0.846260604958 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 441 0.846404630110 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 442 0.846668148534 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 443 0.846939672460 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 444 0.847070159213 Robert Dallara, 2026.
5 445 0.847144729479 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 446 0.847477393670 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 447 0.847707912170 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 448 0.848030924396 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 449 0.848127739103 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 450 0.848227311711 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 451 0.848258707104 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 452 0.848324892099 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 453 0.848517713479 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 455 0.848609221231 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 456 0.848820522601 Pavlos Moros, 2026.
5 457 0.848874366967 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 458 0.849056973521 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 460 0.849358138100 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 461 0.849917780439 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 462 0.850161698536 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 463 0.850220615406 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 464 0.850252275328 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 465 0.850469374199 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 466 0.850796746929 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 467 0.851172549310 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 468 0.851367384767 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 469 0.851677151925 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 470 0.852083854952 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 471 0.852398434185 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 472 0.853616388775 Henry Cohn, 2026, needs more optimization.
5 473 0.854025826180 Henry Cohn, 2026, needs more optimization.
5 474 0.854213654342 Henry Cohn, 2026, needs more optimization.
5 475 0.854582210417 Henry Cohn, 2026, needs more optimization.
5 476 0.855103253441 Henry Cohn, 2026, needs more optimization.
5 477 0.855391671950 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 478 0.855472313147 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 479 0.855629979108 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 480 0.855841665268 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 481 0.855995961510 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 482 0.856125491163 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 483 0.856208249793 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 484 0.856380486459 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 485 0.856480587632 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 486 0.856651783818 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 487 0.856831067866 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 488 0.856932073246 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 489 0.857147443193 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 490 0.857315360501 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 491 0.857419798181 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 492 0.857605788666 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 493 0.857744196019 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 494 0.857798082994 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 495 0.857989540728 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 496 0.858096902788 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 497 0.858223837016 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 498 0.858405973938 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 499 0.858576494856 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 500 0.858614419424 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 501 0.858784283636 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 502 0.858857096539 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 503 0.859123404081 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 504 0.859298772137 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 505 0.859356632540 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 506 0.859426482035 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 507 0.859520084588 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 508 0.859614741917 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 509 0.859751217127 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 510 0.859903657033 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 511 0.860122041544 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 512 0.860300430467 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 513 0.860422995106 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 514 0.860475773200 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 515 0.860757376034 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 516 0.860866245968 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 517 0.860940537434 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 518 0.861027755729 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 519 0.861220095137 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 520 0.861328990501 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 521 0.861380747184 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 522 0.861482217573 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 523 0.861534830308 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 524 0.861866316084 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 525 0.862031908812 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 526 0.862094207579 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 527 0.862173594965 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 528 0.862195501562 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 529 0.862522225189 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 530 0.862599784641 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 531 0.862624256016 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 532 0.862639973643 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 533 0.862640349583 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 534 0.862688133707 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 535 0.862739421504 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 536 0.863382078358 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 537 0.863490821063 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 538 0.863669093928 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 539 0.863693812082 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 540 0.863805623871 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 541 0.863992567721 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 542 0.864171892055 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 543 0.864223130599 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 544 0.864241559583 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 545 0.864436190953 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 546 0.864458396979 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 547 0.864617883331 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 548 0.864781308180 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 549 0.864931643618 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 550 0.864936531044 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 551 0.865182308571 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 552 0.865427916459 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 553 0.865540773443 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 554 0.865700897326 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 555 0.865799753244 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 556 0.865853546944 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 557 0.865899868104 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 558 0.866161974541 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 559 0.866258580364 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 560 0.866455723651 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 561 0.866579303573 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 562 0.866678859091 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 563 0.866794481989 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 564 0.866956214816 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 565 0.867096375304 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 566 0.867207770084 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 567 0.867295888745 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 568 0.867436264553 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 569 0.867558511328 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 570 0.867679706052 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 571 0.867787396856 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 572 0.867953424250 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 573 0.868071548277 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 574 0.868112300703 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 575 0.868336821301 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 576 0.868383480008 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 577 0.868549536745 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 578 0.868613495633 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 579 0.868791649255 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 580 0.868808998200 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 581 0.868920983430 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 582 0.869025723732 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 583 0.869181573798 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 584 0.869308358030 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 585 0.869395016544 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 586 0.869593992153 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 587 0.869617716332 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 588 0.869813474072 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 589 0.869907599977 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 590 0.870013320573 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 591 0.870116485875 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 592 0.870219835228 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 593 0.870365418059 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 594 0.870424810492 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 595 0.870532997385 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 596 0.870695802435 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 597 0.870728910840 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 598 0.870825163591 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 599 0.870960375160 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 600 0.871062947258 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 601 0.871192535830 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 602 0.871318464852 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 603 0.871401636390 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 604 0.871532281625 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 605 0.871580763923 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 606 0.871713348601 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 607 0.871817394296 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 608 0.871919329136 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 609 0.872031781604 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 610 0.872140831428 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 611 0.872250281013 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 612 0.872321472657 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 613 0.872459593030 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 614 0.872554836105 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 615 0.872648740984 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 616 0.872728869281 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 617 0.872864990617 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 618 0.872935737589 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 619 0.873052135335 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 620 0.873198597259 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 621 0.873277174768 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 622 0.873366418033 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 623 0.873493872100 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 624 0.873580612680 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 625 0.873655536592 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 626 0.873707502795 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 627 0.873867512904 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 628 0.873965064776 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 629 0.874067705789 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 630 0.874165176458 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 631 0.874241097100 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 632 0.874339664844 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 633 0.874515666749 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 634 0.874570578183 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 635 0.874662904713 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 636 0.874724604965 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 637 0.874906800603 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 638 0.874970066288 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 639 0.875065518185 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 640 0.875152735643 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 641 0.875227562311 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 642 0.875361260474 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 643 0.875471203568 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 644 0.875552242003 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 645 0.875641663613 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 646 0.875734540475 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 647 0.875863524751 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 648 0.875956403634 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 649 0.876062872052 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 650 0.876142108193 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 651 0.876262494697 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 652 0.876342234743 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 653 0.876455410276 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 654 0.876505123194 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 655 0.876639479949 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 656 0.876679653518 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 657 0.876732204804 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 658 0.876934625414 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 659 0.877003187006 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 660 0.877058426703 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 661 0.877186530102 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 662 0.877219648562 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 663 0.877383543123 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 664 0.877441215109 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 665 0.877543704634 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 666 0.877656043970 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 667 0.877736492441 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 668 0.877854788034 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 669 0.877931904708 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 670 0.877961310546 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 671 0.878105507777 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 672 0.878106473545 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 673 0.878239675647 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 674 0.878341862036 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 675 0.878459929229 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 676 0.878550396308 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 677 0.878641029088 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 678 0.878747388242 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 679 0.878847953975 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 680 0.878913948606 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 681 0.878942566657 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 682 0.879094298148 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 683 0.879141705411 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 684 0.879256112313 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 685 0.879349888018 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 686 0.879455168523 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 687 0.879533216997 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 688 0.879603756205 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 689 0.879692797949 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 690 0.879760932845 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 691 0.879894814824 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 692 0.879998629650 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 693 0.880058582402 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 694 0.880108704289 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 695 0.880213636234 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 696 0.880332768217 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 697 0.880384639767 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 698 0.880410324681 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 699 0.880560672658 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 700 0.880672293297 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 701 0.880706756421 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 702 0.880772437966 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 703 0.880898082445 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 704 0.880960334097 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 705 0.881059691286 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 706 0.881172967860 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 707 0.881182594816 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 708 0.881314969794 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 709 0.881397291719 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 710 0.881458543984 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 711 0.881544977440 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 712 0.881657972498 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 713 0.881748520102 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 714 0.881794374156 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 715 0.881873334904 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 716 0.881983363781 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 717 0.882071939111 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 718 0.882139968837 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 719 0.882224968633 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 720 0.882266596886 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 721 0.882413906062 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 722 0.882457861841 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 723 0.882561432219 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 724 0.882632103713 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 725 0.882725242725 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 726 0.882788294800 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 727 0.882883992680 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 728 0.882938873892 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 729 0.883068327393 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 730 0.883111870454 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 731 0.883242265509 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 732 0.883261763530 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 733 0.883357902437 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 734 0.883432234104 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 735 0.883530374293 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 736 0.883586764124 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 737 0.883630638793 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 738 0.883716322005 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 739 0.883826318961 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 740 0.883873495940 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 741 0.883977434072 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 742 0.884083702770 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 743 0.884161919689 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 744 0.884208812247 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 745 0.884290133150 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 746 0.884376124134 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 747 0.884445832679 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 748 0.884541491879 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 749 0.884602297791 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 750 0.884671353816 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 751 0.884736212722 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 752 0.884864170513 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 753 0.884936055927 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 754 0.885004683554 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 755 0.885095974541 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 756 0.885134705092 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 757 0.885222853780 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 758 0.885326027552 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 759 0.885411821274 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 760 0.885489302751 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 761 0.885563468054 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 762 0.885593120865 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 763 0.885717612973 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 764 0.885785862977 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 765 0.885865861388 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 766 0.885897941963 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 767 0.886015608336 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 768 0.886064170265 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 769 0.886161190973 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 770 0.886232681920 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 771 0.886293141628 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 772 0.886369768127 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 773 0.886443709050 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 774 0.886507926861 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 775 0.886601193191 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 776 0.886689306183 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 777 0.886744050441 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 778 0.886822324082 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 779 0.886884629861 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 780 0.886973487256 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 781 0.887067739177 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 782 0.887085127000 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 783 0.887170865163 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 784 0.887213788641 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 785 0.887305545859 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 786 0.887357278715 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 787 0.887448997918 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 788 0.887514049646 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 789 0.887612054907 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 790 0.887692321112 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 791 0.887717034398 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 792 0.887797932005 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 793 0.887855389912 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 794 0.887887254926 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 795 0.888039811114 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 796 0.888096778635 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 797 0.888181830093 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 798 0.888226749919 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 799 0.888318273498 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 800 0.888381234019 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 801 0.888464352401 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 802 0.888472597910 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 803 0.888580801185 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 804 0.888659360745 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 805 0.888734299200 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 806 0.888800209584 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 807 0.888903461061 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 808 0.888905338931 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 809 0.889018756766 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 810 0.889043738514 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 811 0.889146635876 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 812 0.889250805116 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 813 0.889261672686 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 814 0.889325016017 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 815 0.889407379830 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 816 0.889470236806 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 817 0.889553078118 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 818 0.889618783143 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 819 0.889700295690 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 820 0.889735701941 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 821 0.889821307224 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 822 0.889860688652 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 823 0.889936960552 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 824 0.890008181372 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 825 0.890043890079 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 826 0.890157516714 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 827 0.890173347579 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 828 0.890236833482 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 829 0.890308039858 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 830 0.890397801907 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 831 0.890468378790 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 832 0.890525855437 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 833 0.890610368416 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 834 0.890648092955 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 835 0.890785741085 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 836 0.890791406406 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 837 0.890858956942 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 838 0.890913836226 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 839 0.890970107101 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 840 0.891050350215 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 841 0.891103375488 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 842 0.891181467827 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 843 0.891287528997 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 844 0.891315359906 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 845 0.891366882579 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 846 0.891416522489 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 847 0.891498599926 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 848 0.891582312245 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 849 0.891611082414 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 850 0.891673831647 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 851 0.891739350063 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 852 0.891810297767 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 853 0.891850160871 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 854 0.891956707177 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 855 0.891965720226 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 856 0.892053055855 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 857 0.892127562822 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 858 0.892166065271 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 859 0.892275727142 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 860 0.892292283359 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 861 0.892394014607 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 862 0.892459840076 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 863 0.892525541140 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 864 0.892559715160 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 865 0.892632427725 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 866 0.892702069525 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 867 0.892751013515 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 868 0.892809229362 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 869 0.892927787737 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 870 0.892943373078 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 871 0.892998933779 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 872 0.893045194309 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 873 0.893081811788 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 874 0.893191833046 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 875 0.893237705351 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 876 0.893266165998 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 877 0.893354663005 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 878 0.893440419031 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 879 0.893488848864 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 880 0.893552331464 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 881 0.893575492667 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 882 0.893675788240 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 883 0.893733990506 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 884 0.893786740471 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 885 0.893863504046 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 886 0.893906543970 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 887 0.893978131190 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 888 0.894053611623 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 889 0.894089122049 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 890 0.894177757197 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 891 0.894206192531 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 892 0.894272661135 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 893 0.894332397388 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 894 0.894381185578 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 895 0.894439511963 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 896 0.894453112570 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 897 0.894605176109 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 898 0.894645575810 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 899 0.894727955948 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 900 0.894750689132 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 901 0.894798436537 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 902 0.894877029648 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 903 0.894922398858 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 904 0.894933018553 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 905 0.895056844323 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 906 0.895091614755 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 907 0.895177756885 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 908 0.895251827393 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 909 0.895283685929 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 910 0.895318680374 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 911 0.895386383067 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 912 0.895452016376 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 913 0.895540482760 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 914 0.895584948003 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 915 0.895665942688 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 916 0.895691383929 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 917 0.895740480766 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 918 0.895831153040 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 919 0.895857949737 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 920 0.895910062110 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 921 0.895978570522 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 922 0.896070532630 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 923 0.896090154027 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 924 0.896160415742 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 925 0.896217259694 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 926 0.896270974493 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 927 0.896285975480 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 928 0.896371344685 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 929 0.896434284151 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 930 0.896506262521 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 931 0.896529629616 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 932 0.896551683898 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 933 0.896626742167 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 934 0.896719653714 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 935 0.896763483292 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 936 0.896822491668 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 937 0.896870010527 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 938 0.896912246115 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 939 0.896968294866 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 940 0.897050423715 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 941 0.897115311646 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 942 0.897153317616 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 943 0.897218447907 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 944 0.897245854677 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 945 0.897332215849 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 946 0.897404796551 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 947 0.897419903128 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 948 0.897464730124 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 949 0.897542820640 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 950 0.897615339891 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 951 0.897661595719 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 952 0.897698572916 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 953 0.897740693517 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 954 0.897818894651 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 955 0.897830841153 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 956 0.897922194428 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 957 0.897940422059 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 958 0.898027031364 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 959 0.898054066517 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 960 0.898147031984 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 961 0.898172205817 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 962 0.898249545624 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 963 0.898280407909 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 964 0.898352042876 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 965 0.898418102598 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 966 0.898447868707 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 967 0.898494542041 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 968 0.898543794039 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 969 0.898601309092 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 970 0.898671723338 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 971 0.898678157520 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 972 0.898748952988 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 973 0.898781074626 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 974 0.898899770013 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 975 0.898912774169 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 976 0.898978510818 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 977 0.899025382787 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 978 0.899070452280 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 979 0.899127707073 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 980 0.899138620026 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 981 0.899188273829 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 982 0.899281995922 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 983 0.899324578625 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 984 0.899374160785 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 985 0.899437609794 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 986 0.899486396167 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 987 0.899518008089 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 988 0.899581022491 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 989 0.899629951347 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 990 0.899676165613 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 991 0.899739473462 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 992 0.899780402942 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 993 0.899856048564 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 994 0.899902503331 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 995 0.899956906140 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 996 0.899984046871 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 997 0.900033044264 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 998 0.900064691715 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 999 0.900098883567 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1000 0.900174175250 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1001 0.900244563003 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1002 0.900277773975 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1003 0.900353351881 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1004 0.900397756303 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1005 0.900429604194 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1006 0.900484991293 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1007 0.900518956466 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1008 0.900533203441 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1009 0.900634564655 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1010 0.900685145043 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1011 0.900761606647 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1012 0.900778836214 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1013 0.900831683587 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1014 0.900884196291 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1015 0.900937789989 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1016 0.900971199638 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1017 0.900991127152 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1018 0.901089895682 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1019 0.901110584229 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1020 0.901193127219 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1021 0.901207891090 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1022 0.901289678756 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1023 0.901330344619 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1024 0.901352078641 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 13 0.113079752148 P. G. Adams, A numerical approach to Tamme's problem in Euclidean n-space, Master of Science thesis, Oregon State University, 1997, https://hdl.handle.net/1957/33911.
96⁢x3−36⁢x2−6⁢x+1
6 14 0.132490920324 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
Minimal polynomial listed in plain text data
6 15 0.144948974279 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
20⁢x2+4⁢x−1
6 16 0.171071421043 H. Cohn, Small spherical and projective codes, data set, updated 2024, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
6400⁢x5+960⁢x4−1024⁢x3−32⁢x2+31⁢x−1
6 17 0.183274337024 P. G. Adams, A numerical approach to Tamme's problem in Euclidean n-space, Master of Science thesis, Oregon State University, 1997, https://hdl.handle.net/1957/33911.
400⁢x4+240⁢x3+16⁢x2−8⁢x−1
6 18 0.197812188602 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
784⁢x8−280⁢x7−1191⁢x6+120⁢x5+218⁢x4−62⁢x3−31⁢x2+2⁢x+1
6 19 0.200226025892 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
6 20 0.214285714286 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
14⁢x−3
6 21 0.242852848014 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
6 22 0.248865699460 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
6 23 0.25 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
4⁢x−1
6 24 0.25 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
4⁢x−1
6 25 0.25 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
4⁢x−1
6 26 0.25 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
4⁢x−1
6 27* 0.25 T. Gosset, On the regular and semi-regular figures in space of n dimensions, Messenger Math. 29 (1900), 43–48; V. I. Levenšteĭn, On bounds for packings in n-dimensional Euclidean space (Russian), Dokl. Akad. Nauk SSSR 245 (1979), 1299–1303, English translation in Soviet Math. Dokl. 20 (1979), 417–421.
4⁢x−1
6 28 0.3 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
10⁢x−3
6 29 0.327844830882 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
6 30 0.333157886299 H. Cohn, Small spherical and projective codes, data set, updated 2024, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
6 31 0.333333333334 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
3⁢x−1
6 32 0.333333333334 J. H. van Lint and J. J. Seidel, Equilateral point sets in elliptic geometry, Indag. Math. 28 (1966), 335–348, https://research.tue.nl/en/publications/equilateral-point-sets-in-elliptic-geometry.
3⁢x−1
6 33 0.344948974279 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
20⁢x2−4⁢x−1
6 34 0.346451336111 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
64⁢x5+64⁢x4−76⁢x3+7⁢x2+6⁢x−1
6 35 0.358257569496 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
5⁢x2+x−1
6 36 0.358257569496 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
5⁢x2+x−1
6 37 0.366623377687 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
64⁢x4+96⁢x3−80⁢x2+16⁢x−1
6 38 0.367688450451 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
7424⁢x8+1280⁢x7−3904⁢x6−768⁢x5+448⁢x4+80⁢x3−1
6 39 0.384936289161 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
6 40 0.386096677606 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
31⁢x4−12⁢x3−14⁢x2+8⁢x−1
6 41 0.389434811673 Henry Cohn, 2023.
6 42 0.390388203203 J. H. Conway, R. H. Hardin, and N. J. A. Sloane, Packing lines, planes, etc.: packings in Grassmannian spaces, Experiment. Math. 5 (1996), 139–159, https://projecteuclid.org/euclid.em/1047565645; T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
4⁢x2+x−1
6 43 0.399773924374 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
1024⁢x9−4096⁢x8−1536⁢x7+1024⁢x6+704⁢x5+64⁢x4−96⁢x3−16⁢x2+4⁢x−1
6 44 0.405666616164 Henry Cohn, 2023.
6 45 0.426943864061 Henry Cohn, 2025.
6 46 0.434834721516 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 47 0.441020734927 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 48 0.443609864234 Henry Cohn, 2025.
6 49 0.446060501890 Henry Cohn, 2023.
6 50 0.446739131277 Henry Cohn, 2023.
58⁢x3−50⁢x2+13⁢x−1
6 51 0.456479386398 Henry Cohn, 2025.
6 52 0.458253528717 Henry Cohn, 2023.
6 53 0.459145031877 Henry Cohn, 2025.
6 54 0.462714285892 Henry Cohn, 2023.
4104⁢x4−216⁢x3−3654⁢x2+1955⁢x−289
6 55 0.472467412878 Henry Cohn, 2024.
6 56 0.475645784548 Henry Cohn, 2023.
33024⁢x6+14848⁢x5−45568⁢x4+5832⁢x3+12257⁢x2−4922⁢x+529
6 57 0.479790821500 Henry Cohn, 2025.
6 58 0.482548584905 Henry Cohn, 2024.
20⁢x2+9⁢x−9
6 59 0.485942488798 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 60 0.486876290376 Henry Cohn, 2025.
6 61 0.491730182082 Henry Cohn, 2025.
6 62 0.495160643621 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 63 0.498122491823 Henry Cohn, 2023.
6 64 0.498345393899 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 65 0.499869061666 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 66 0.499921169601 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 67 0.499977443623 Henry Cohn, 2026, needs more optimization.
6 68 0.499999950782 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 69 0.499999977407 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 72 0.5 A. Korkine and G. Zolotareff, Sur les formes quadratiques, Math. Ann. 6 (1873), 366–389, doi:10.1007/BF01442795; J. Leech, Six and seven dimensional non-lattice sphere packings, Canad. Math. Bull. 12 (1969), 151–155, doi:10.4153/CMB-1969-014-1; J. H. Conway and N. J. A. Sloane, What are all the best sphere packings in low dimensions?, Discrete Comput. Geom. 13 (1995), 383–403, doi:10.1007/BF02574051; H. Cohn, Y. Jiao, A. Kumar, and S. Torquato, Rigidity of spherical codes, Geom. Topol. 15 (2011), 2235–2273, doi:10.2140/gt.2011.15.2235, arXiv:1102.5060.
2⁢x−1
6 73 0.513985952311 Henry Cohn, 2025.
6 74 0.521539568537 Henry Cohn, 2025.
6 75 0.523076433656 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 76 0.524813970537 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 77 0.527287929827 Henry Cohn, 2025.
6 78 0.528662896579 Henry Cohn, 2025.
6 79 0.533648501058 Henry Cohn, 2025.
6 80 0.536468893038 Henry Cohn, 2025.
6 81 0.538396586915 Henry Cohn, 2026.
6 82 0.539382071135 Henry Cohn, 2026.
6 83 0.543248902467 Henry Cohn, 2026.
6 84 0.545752285862 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 85 0.546038397748 Henry Cohn, 2026.
6 86 0.548916479202 Matevž Kovačič, 2026, https://github.com/matevz-kovacic/active-model.
6 87 0.550379697504 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 88 0.552456735670 Henry Cohn, 2025.
6 89 0.555561660912 Henry Cohn, 2025, needs more optimization.
6 90 0.557491741124 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 91 0.557588802583 Henry Cohn, 2026.
6 92 0.560971622256 Henry Cohn, 2025.
29448⁢x9+23100⁢x8−14202⁢x7−11415⁢x6+1604⁢x5+1587⁢x4−50⁢x3−73⁢x2+1
6 93 0.563013323310 Henry Cohn, 2023.
6 94 0.564649464265 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 95 0.565789396150 Henry Cohn, 2023.
6 96 0.565950871118 Henry Cohn, 2023.
6 97 0.568133461901 Henry Cohn, 2025.
6 98 0.571037776392 Matevž Kovačič, 2026, https://github.com/matevz-kovacic/active-model.
6 99 0.573881665753 Henry Cohn, 2023.
6 100 0.574916276575 Henry Cohn, 2024.
6 101 0.578318097782 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 102 0.580736682189 Henry Cohn, 2023, needs more optimization.
6 103 0.580853750639 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 104 0.582141252652 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 105 0.582634862975 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 106 0.582644233425 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 107 0.583371498649 Henry Cohn, 2026.
6 108 0.584228700283 Henry Cohn, 2026.
6 109 0.585348750770 Henry Cohn, 2026.
6 110 0.585555924412 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 111 0.585638229827 Henry Cohn, 2026.
6 112 0.585693130025 Henry Cohn, 2026.
6 113 0.586622932873 Henry Cohn, 2025.
6 114 0.588109690133 Henry Cohn, 2023.
6 115 0.596004657476 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 116 0.596363660946 Pavlos Moros, 2026.
6 117 0.596421583910 Henry Cohn, 2026, needs more optimization.
6 118 0.596439256863 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 119 0.598424113262 Henry Cohn, 2026, needs more optimization.
6 120 0.599016149465 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 121 0.603688760597 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 122 0.605232558247 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 123 0.606415945860 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 124 0.607936838904 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 125 0.607973280226 Henry Cohn, 2026, needs more optimization.
6 126 0.610306866273 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 127 0.616055911809 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 128 0.618872617056 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 129 0.620224367829 Henry Cohn, 2025.
6 130 0.622749533062 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 131 0.624452202888 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 132 0.624694337870 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 133 0.626090430089 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 134 0.627762731707 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 135 0.629447775737 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 136 0.630749416149 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 137 0.631575173435 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 138 0.633669849489 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 139 0.635852941496 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 140 0.636799844071 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 141 0.636830011504 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 142 0.637378151040 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 143 0.638506513152 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 144 0.638598434948 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 145 0.639674399842 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 146 0.640469639839 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 147 0.641748038387 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 148 0.642736295513 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 149 0.644705619024 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 150 0.645096694542 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 151 0.645121145146 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 152 0.645203925972 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 153 0.645210956961 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 154 0.646006976308 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 155 0.646192597480 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 156 0.647251806639 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 157 0.648607476968 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 158 0.649878596886 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 159 0.650461345030 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 160 0.650866730014 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 161 0.651502454062 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 162 0.652198974936 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 163 0.652307561259 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 164 0.653028628063 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 165 0.653531275605 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 166 0.653972556245 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 167 0.655327277538 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 168 0.656419753699 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 169 0.658674020111 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 170 0.660039796784 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 171 0.661216162738 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 172 0.662523168284 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 173 0.663623992837 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 174 0.663914744666 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 175 0.664433247579 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 176 0.664663921420 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 177 0.667248188847 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 178 0.668347200084 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 179 0.669353780760 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 180 0.670258002316 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 181 0.670435765875 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 182 0.671572335619 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 183 0.672123467486 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 184 0.672423935688 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 185 0.673138325950 WolfFrogs, 2026.
6 186 0.673827638855 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 187 0.674109703209 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 188 0.674716255003 Robert Dallara, 2026.
6 189 0.674814958648 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 190 0.674913550534 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 191 0.674920397469 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 192 0.674984349436 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 193 0.674990479602 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 194 0.675977230691 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 195 0.675982483231 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 196 0.676000059853 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 197 0.676139784165 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 198 0.676256037124 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 199 0.678240772223 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 200 0.680348688948 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 201 0.681454928946 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 202 0.681973854192 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 203 0.682708686721 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 204 0.684008396939 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 205 0.684949098050 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 206 0.685714605963 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 207 0.686362737907 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 208 0.687185627750 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 209 0.687962148098 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 210 0.688629813009 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 211 0.689263850168 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 212 0.689755479547 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 213 0.689977050006 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 214 0.690421520629 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 215 0.691011081446 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 216 0.691532166407 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 217 0.692100456953 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 218 0.693060343689 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 219 0.693429481771 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 220 0.694038977454 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 221 0.694336878946 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 222 0.694750308013 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 223 0.695355402753 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 224 0.695842585723 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 225 0.695980142948 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 226 0.696030700811 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 227 0.696958865229 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 228 0.697147091343 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 229 0.697898582898 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 230 0.698237904688 WolfFrogs, 2026.
6 232 0.698603053103 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 233 0.699497731090 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 234 0.699913239980 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 243 0.7 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
10⁢x−7
6 245 0.702936983927 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 246 0.703134022108 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 247 0.703287570521 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 248 0.703445074762 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 249 0.703550377291 Pavlos Moros, 2026.
6 250 0.703838463146 Pavlos Moros, 2026.
6 251 0.703943163251 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 252 0.704028145893 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 253 0.704231808939 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 254 0.704586804672 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 255 0.704715705496 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 256 0.704931969352 Pavlos Moros, 2026.
6 257 0.705350637779 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 258 0.705825097762 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 259 0.706348039265 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 260 0.707048162858 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 261 0.707830163349 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 262 0.708324049489 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 263 0.708911219352 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 264 0.709502598096 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 265 0.710452246796 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 266 0.711298770376 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 267 0.711981941020 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 268 0.712803647796 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 269 0.713444753031 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 270 0.714094595168 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 271 0.714540135464 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 272 0.714831282150 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 273 0.716191352399 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 274 0.716982971491 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 275 0.717946707650 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 276 0.718571685080 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 277 0.719093214548 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 278 0.719911086996 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 279 0.720497788804 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 280 0.720949533963 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 281 0.721058774151 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 282 0.721629762453 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 283 0.722234255553 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 284 0.722651497789 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 285 0.723268654005 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 286 0.723334202630 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 287 0.723525667473 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 288 0.723643513343 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 289 0.724833672242 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 290 0.725270556420 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 291 0.725842284682 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 292 0.726180888995 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 293 0.726967731142 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 294 0.727220692505 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 295 0.727654977774 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 296 0.728658213956 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 297 0.728766067258 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 298 0.729227587528 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 299 0.729697622198 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 300 0.730070633365 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 301 0.730952927668 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 302 0.731679216056 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 303 0.732004081854 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 304 0.732567979582 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 305 0.732956015461 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 306 0.733307565385 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 307 0.733624399291 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 308 0.733930837577 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 309 0.734174669919 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 310 0.734397870791 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 311 0.734685392634 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 312 0.735240625419 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 313 0.735712535981 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 314 0.736125659286 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 315 0.736416490395 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 316 0.736794652794 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 317 0.737078840049 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 318 0.737470393891 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 319 0.737535438346 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 320 0.737918707853 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 321 0.738036131844 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 322 0.738994114323 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 323 0.739465444313 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 324 0.739640332847 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 325 0.739679439409 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 326 0.739680313293 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 327 0.740047432265 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 328 0.740085242062 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 329 0.740141141418 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 330 0.740251238889 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 331 0.740325177470 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 332 0.741640385128 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 333 0.741651797732 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 334 0.741897771262 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 335 0.742178196086 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 336 0.742934180588 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 337 0.743099052644 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 338 0.743201133437 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 339 0.743213506690 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 340 0.743486718857 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 341 0.743752317338 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 342 0.743817924989 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 343 0.743995719715 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 344 0.744395245204 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 345 0.744756203998 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 346 0.745191046164 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 347 0.745374421194 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 348 0.745768303131 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 349 0.746213670532 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 350 0.747133021967 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 351 0.747313641137 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 352 0.747412546226 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 353 0.747893912943 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 354 0.748328774265 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 355 0.748846464519 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 356 0.748946628034 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 357 0.749828359479 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 358 0.749887184013 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 359 0.750125096006 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 360 0.750661654139 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 361 0.750915700887 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 362 0.751272998926 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 363 0.751653558570 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 364 0.751931704440 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 365 0.752239954321 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 366 0.752461797163 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 367 0.753080047901 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 368 0.753294823835 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 369 0.753554276304 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 370 0.753761371071 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 371 0.754316070863 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 372 0.754628575793 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 373 0.754675211338 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 374 0.755068614009 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 375 0.755261712040 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 376 0.755708382548 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 377 0.756099249601 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 378 0.756263564336 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 379 0.756717448737 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 380 0.757095499175 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 381 0.757188077184 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 382 0.757353025994 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 383 0.757429123509 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 384 0.758141038846 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 385 0.758168610548 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 386 0.759001276353 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 387 0.759206484146 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 388 0.759323758406 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 389 0.759378595246 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 390 0.759748844139 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 391 0.759792311921 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 392 0.760782952756 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 393 0.761168977065 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 394 0.761388166361 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 395 0.761587906795 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 396 0.761727266013 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 397 0.762312390725 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 398 0.762501757882 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 399 0.762638375811 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 400 0.762866231327 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 401 0.763152944920 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 402 0.763554362453 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 403 0.763622301719 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 404 0.763966961114 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 405 0.764274247981 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 406 0.764457441833 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 407 0.764619393785 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 408 0.764934518470 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 409 0.765266483321 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 410 0.765440068363 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 411 0.765665824682 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 412 0.765920392496 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 413 0.766009449797 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 414 0.766333650246 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 415 0.766582573714 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 416 0.766895217494 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 417 0.767075634933 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 418 0.767392122022 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 419 0.767623829363 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 420 0.767793596500 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 421 0.768007380881 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 422 0.768253994114 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 423 0.768503869702 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 424 0.768718639128 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 425 0.768929934229 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 426 0.769117200561 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 427 0.769357197436 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 428 0.769612874281 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 429 0.769802858185 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 430 0.770029651946 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 431 0.770257901289 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 432 0.770440405140 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 433 0.770667098803 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 434 0.770926953135 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 435 0.771055203553 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 436 0.771280142538 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 437 0.771484646979 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 438 0.771745266703 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 439 0.771966581378 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 440 0.772207948217 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 441 0.772264075291 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 442 0.772564447631 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 443 0.772788248460 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 444 0.772979888295 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 445 0.773168479747 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 446 0.773409804779 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 447 0.773564231323 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 448 0.773768254981 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 449 0.774015394670 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 450 0.774247533089 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 451 0.774400576064 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 452 0.774587939699 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 453 0.774896369522 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 454 0.774963328711 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 455 0.775162750965 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 456 0.775345611014 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 457 0.775574849313 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 458 0.775857871861 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 459 0.775994191454 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 460 0.776187137044 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 461 0.776445476456 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 462 0.776512102015 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 463 0.776812795705 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 464 0.776821860993 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 465 0.777070928913 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 466 0.777326158510 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 467 0.777554247122 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 468 0.777722689292 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 469 0.777939897157 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 470 0.778120957987 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 471 0.778282665604 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 472 0.778380188025 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 473 0.778639253603 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 474 0.778810416317 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 475 0.778940659336 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 476 0.779228230503 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 477 0.779421883561 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 478 0.779628557494 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 479 0.779778796698 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 480 0.779946422901 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 481 0.780130196555 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 482 0.780265042201 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 483 0.780473432041 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 484 0.780571141194 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 485 0.780598679428 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 486 0.780753240155 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 487 0.780859996632 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 488 0.781137706961 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 489 0.781144304959 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 490 0.781235567526 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 491 0.781326799696 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 492 0.781450691985 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 493 0.781630184397 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 494 0.781868950684 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 495 0.782011921054 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 496 0.782113400588 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 497 0.782244528871 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 498 0.782329072285 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 499 0.782395676203 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 500 0.782515620821 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 501 0.782682766839 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 502 0.783168313639 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 503 0.783226199046 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 504 0.783550392899 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 505 0.783708990770 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 506 0.783793189750 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 507 0.783856821706 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 508 0.783927876064 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 509 0.783994906511 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 510 0.784016749221 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 511 0.784106662569 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 512 0.784281112653 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 513 0.784411422875 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 514 0.784544333407 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 515 0.785140162842 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 516 0.785474892707 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 517 0.785576488249 Pavlos Moros, 2026.
6 518 0.785714898516 Pavlos Moros, 2026.
6 519 0.785771191682 Pavlos Moros, 2026.
6 520 0.785851842771 Pavlos Moros, 2026.
6 521 0.785916996338 Pavlos Moros, 2026.
6 522 0.786111195544 Pavlos Moros, 2026.
6 523 0.786233629524 Pavlos Moros, 2026.
6 524 0.786265144424 Pavlos Moros, 2026.
6 526 0.786371502595 Pavlos Moros, 2026.
6 527 0.786476977229 Pavlos Moros, 2026.
6 528 0.786632827928 Pavlos Moros, 2026.
6 529 0.786661268532 Pavlos Moros, 2026.
6 530 0.786665176133 Pavlos Moros, 2026.
6 531 0.786777318794 Pavlos Moros, 2026.
6 532 0.786781579685 Pavlos Moros, 2026.
6 533 0.786800941634 Pavlos Moros, 2026.
6 534 0.786809212167 Pavlos Moros, 2026.
6 535 0.786817163576 Pavlos Moros, 2026.
6 536 0.786848596781 Pavlos Moros, 2026.
6 537 0.786853314633 Pavlos Moros, 2026.
6 538 0.786860198477 Pavlos Moros, 2026.
6 539 0.786867383186 Pavlos Moros, 2026.
6 540 0.786875585133 Pavlos Moros, 2026.
6 541 0.786887548888 Pavlos Moros, 2026.
6 542 0.786894439755 Pavlos Moros, 2026.
6 543 0.786900814145 Pavlos Moros, 2026.
6 544 0.786906448055 Pavlos Moros, 2026.
6 545 0.786912755633 Pavlos Moros, 2026.
6 546 0.786957937609 Pavlos Moros, 2026.
6 547 0.786964513526 Pavlos Moros, 2026.
6 548 0.786982741567 Pavlos Moros, 2026.
6 549 0.786991568409 Pavlos Moros, 2026.
6 550 0.787001898431 Pavlos Moros, 2026.
6 551 0.787012411671 Pavlos Moros, 2026.
6 552 0.787015801328 Pavlos Moros, 2026.
6 553 0.787016829651 Pavlos Moros, 2026.
6 554 0.787021346303 Pavlos Moros, 2026.
6 555 0.787027453079 Pavlos Moros, 2026.
6 556 0.787031119906 Pavlos Moros, 2026.
6 557 0.787044814304 Pavlos Moros, 2026.
6 558 0.787072619879 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 559 0.787850253192 Pavlos Moros, 2026.
6 560 0.788414776917 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 562 0.788831072091 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 563 0.788910170363 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 564 0.788980541698 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 565 0.789552036636 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 566 0.789644587789 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 567 0.790361324435 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 568 0.790930787215 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 569 0.791092876303 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 570 0.791630852817 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 571 0.791977596554 Pavlos Moros, 2026.
6 572 0.792014780986 Pavlos Moros, 2026.
6 573 0.792286652978 Pavlos Moros, 2026.
6 575 0.792780236785 Pavlos Moros, 2026.
6 576 0.793081345108 Pavlos Moros, 2026.
6 577 0.793331827215 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 578 0.793547211714 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 579 0.793643462152 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 580 0.793716521366 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 581 0.793735569886 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 582 0.793835407837 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 583 0.793982141744 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 584 0.794031425905 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 585 0.794107384779 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 586 0.794212277227 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 587 0.794219317532 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 588 0.794317966205 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 589 0.794408019656 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 590 0.794625903829 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 591 0.794637783581 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 592 0.794863908762 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 593 0.795079761522 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 594 0.795100976460 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 595 0.795149611344 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 596 0.795237253386 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 597 0.795244157429 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 598 0.795265069785 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 599 0.795279530959 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 600 0.795384719249 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 601 0.795862310652 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 602 0.795898806975 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 603 0.795970632484 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 604 0.796270036722 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 605 0.796337832833 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 606 0.796449949429 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 607 0.796600515435 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 608 0.796942317012 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 609 0.796999788171 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 610 0.797068314880 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 611 0.797286251178 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 612 0.797488055700 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 613 0.797572416174 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 614 0.797748238330 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 615 0.797877500944 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 616 0.798059569781 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 617 0.798296779110 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 618 0.798447680787 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 619 0.798527819236 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 620 0.798670224596 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 621 0.798771378224 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 622 0.798810307992 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 623 0.799013770391 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 624 0.799166944761 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 625 0.799342533166 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 626 0.799541730863 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 627 0.799741192582 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 628 0.799918619298 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 629 0.800126131330 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 630 0.800271549635 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 631 0.800503458250 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 632 0.800684863346 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 633 0.800825798147 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 634 0.800935198945 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 635 0.801155650665 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 636 0.801271737034 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 637 0.801320933976 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 638 0.801422621667 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 639 0.801556122507 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 640 0.801684874367 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 641 0.801812014545 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 642 0.801907880665 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 643 0.801933328311 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 644 0.802141430111 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 645 0.802286471403 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 646 0.802419206060 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 647 0.802462764587 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 648 0.802647867285 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 649 0.802691602545 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 650 0.802937826316 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 651 0.803075325564 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 652 0.803125764501 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 653 0.803243624075 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 654 0.803424548185 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 655 0.803554628605 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 656 0.803731069818 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 657 0.803924867735 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 658 0.804140793933 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 659 0.804305456827 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 660 0.804568554742 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 661 0.804796681120 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 662 0.804995896887 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 663 0.805201360216 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 664 0.805423454474 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 665 0.805596494041 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 666 0.805673355305 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 667 0.805998220397 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 668 0.806169811851 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 669 0.806176853508 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 670 0.806288834807 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 671 0.806414679248 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 672 0.806584872182 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 673 0.806954555783 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 674 0.806986546221 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 675 0.806996881635 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 676 0.807192155177 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 677 0.807222968684 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 678 0.807554119396 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 679 0.807574552441 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 680 0.807623665148 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 681 0.807884640032 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 682 0.808262628734 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 683 0.808332334254 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 684 0.808506167153 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 685 0.808621337180 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 686 0.808816075617 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 687 0.808878964614 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 688 0.808938588478 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 689 0.809238639715 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 690 0.809345517549 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 691 0.809581084450 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 692 0.809647402931 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 693 0.809771587562 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 694 0.809946896020 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 695 0.810080041843 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 696 0.810144829559 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 697 0.810290578538 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 698 0.810460665428 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 699 0.810605566367 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 700 0.810692101574 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 701 0.810855676002 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 702 0.810954396287 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 703 0.811031139829 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 704 0.811195254369 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 705 0.811281791462 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 706 0.811438601177 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 707 0.811616983456 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 708 0.811723833998 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 709 0.811814242956 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 710 0.811921667767 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 711 0.812037245443 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 712 0.812140249791 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 713 0.812292091980 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 714 0.812406083565 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 715 0.812520138882 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 716 0.812604033058 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 717 0.812665555368 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 718 0.812915169639 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 719 0.813037847193 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 720 0.813107113323 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 721 0.813200160112 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 722 0.813357123592 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 723 0.813460767271 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 724 0.813554996938 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 725 0.813636298843 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 726 0.813714944420 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 727 0.813893988664 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 728 0.814026933019 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 729 0.814151945656 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 730 0.814256062877 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 731 0.814346804431 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 732 0.814425012862 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 733 0.814566094123 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 734 0.814642072461 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 735 0.814767088012 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 736 0.814886148743 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 737 0.814974279756 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 738 0.814994882469 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 739 0.815245687094 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 740 0.815267427347 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 741 0.815405808854 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 742 0.815528175063 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 743 0.815641997910 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 744 0.815716014680 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 745 0.815861847281 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 746 0.815871921778 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 747 0.815981644465 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 748 0.816107200150 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 749 0.816261217481 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 750 0.816333187976 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 751 0.816452250979 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 752 0.816500866514 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 753 0.816643178118 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 754 0.816691919070 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 755 0.816822694616 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 756 0.816933849682 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 757 0.816943920479 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 758 0.817112809663 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 759 0.817260987330 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 760 0.817284682203 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 761 0.817413891809 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 762 0.817564590678 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 763 0.817574006116 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 764 0.817634509158 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 765 0.817768059736 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 766 0.817932086965 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 767 0.817961350000 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 768 0.818111539852 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 769 0.818176185237 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 770 0.818285157404 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 771 0.818396279044 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 772 0.818509964885 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 773 0.818573037800 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 774 0.818633055083 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 775 0.818761444861 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 776 0.818896252256 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 777 0.818977661018 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 778 0.819033318274 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 779 0.819142271142 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 780 0.819270918558 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 781 0.819321852578 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 782 0.819431586624 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 783 0.819557496732 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 784 0.819600898314 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 785 0.819661089635 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 786 0.819770893935 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 787 0.819858132646 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 788 0.819996683935 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 789 0.820051861919 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 790 0.820151224756 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 791 0.820228060507 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 792 0.820381270645 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 793 0.820425511148 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 794 0.820472036263 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 795 0.820619729071 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 796 0.820673103374 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 797 0.820796364523 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 798 0.820842592969 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 799 0.820989534246 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 800 0.821071062292 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 801 0.821182301183 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 802 0.821257992670 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 803 0.821381077585 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 804 0.821429491689 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 805 0.821522417668 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 806 0.821642129090 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 807 0.821652424879 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 808 0.821771495894 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 809 0.821924383762 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 810 0.821965134515 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 811 0.822076629684 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 812 0.822144978550 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 813 0.822211273413 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 814 0.822309720257 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 815 0.822398194783 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 816 0.822434216075 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 817 0.822544183573 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 818 0.822693927779 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 819 0.822756057753 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 820 0.822832632680 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 821 0.822904692390 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 822 0.823022629546 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 823 0.823082684445 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 824 0.823209093735 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 825 0.823245505148 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 826 0.823379494096 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 827 0.823451967845 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 828 0.823558334237 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 829 0.823646013974 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 830 0.823705072483 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 831 0.823839426208 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 832 0.823872846643 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 833 0.823946876121 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 834 0.824058367383 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 835 0.824127752701 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 836 0.824274120207 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 837 0.824295727068 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 838 0.824405889222 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 839 0.824487551579 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 840 0.824518453310 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 841 0.824644721238 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 842 0.824717901241 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 843 0.824833287748 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 844 0.824860500092 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 845 0.824965037325 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 846 0.825084210816 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 847 0.825091531758 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 848 0.825230465562 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 849 0.825333714496 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 850 0.825364057528 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 851 0.825474396749 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 852 0.825518791830 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 853 0.825626847835 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 854 0.825729134902 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 855 0.825833428340 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 856 0.825875293523 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 857 0.825941730353 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 858 0.826013581305 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 859 0.826114266375 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 860 0.826224994865 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 861 0.826312160230 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 862 0.826388189157 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 863 0.826484828487 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 864 0.826537238606 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 865 0.826647225251 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 866 0.826660742540 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 867 0.826786811923 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 868 0.826854346401 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 869 0.826951945251 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 870 0.826963222376 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 871 0.827120440576 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 872 0.827134400996 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 873 0.827240988854 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 874 0.827356906786 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 875 0.827394065666 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 876 0.827501439343 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 877 0.827530172242 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 878 0.827665288502 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 879 0.827808602149 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 880 0.827850915944 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 881 0.827923078847 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 882 0.827966221837 Pavlos Moros, 2026.
6 883 0.828008303847 Pavlos Moros, 2026.
6 884 0.828078832780 Henry Cohn, 2026, needs more optimization.
6 885 0.828202848068 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 886 0.828255021731 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 887 0.828389104823 Pavlos Moros, 2026.
6 888 0.828436753574 Pavlos Moros, 2026.
6 889 0.828526651052 Pavlos Moros, 2026.
6 890 0.828578966104 Pavlos Moros, 2026.
6 891 0.828602895833 Pavlos Moros, 2026.
6 892 0.828665651392 Pavlos Moros, 2026.
6 893 0.828765347931 Pavlos Moros, 2026.
6 894 0.828846080283 Pavlos Moros, 2026.
6 895 0.828847070186 Henry Cohn, 2026, needs more optimization.
6 896 0.828931049740 Henry Cohn, 2026, needs more optimization.
6 897 0.828963692810 Henry Cohn, 2026, needs more optimization.
6 898 0.829074503192 Henry Cohn, 2026, needs more optimization.
6 899 0.829078163609 Henry Cohn, 2026, needs more optimization.
6 900 0.829101655577 Henry Cohn, 2026, needs more optimization.
6 901 0.829301762797 Henry Cohn, 2026, needs more optimization.
6 902 0.829319317193 Henry Cohn, 2026, needs more optimization.
6 903 0.829428733430 Henry Cohn, 2026, needs more optimization.
6 904 0.829513252583 Henry Cohn, 2026, needs more optimization.
6 905 0.829600733594 Henry Cohn, 2026, needs more optimization.
6 906 0.829647434475 Henry Cohn, 2026, needs more optimization.
6 907 0.829693870128 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 908 0.829773742432 Pavlos Moros, 2026.
6 909 0.829892397602 Henry Cohn, 2026, needs more optimization.
6 910 0.829937501478 Henry Cohn, 2026, needs more optimization.
6 911 0.829945659210 Henry Cohn, 2026, needs more optimization.
6 912 0.830005700451 Henry Cohn, 2026, needs more optimization.
6 913 0.830065140138 Henry Cohn, 2026, needs more optimization.
6 914 0.830150477285 Henry Cohn, 2026, needs more optimization.
6 915 0.830446933597 Henry Cohn, 2026, needs more optimization.
6 916 0.830446933653 Henry Cohn, 2026, needs more optimization.
6 917 0.830451801318 Henry Cohn, 2026, needs more optimization.
6 918 0.830459331567 Henry Cohn, 2026, needs more optimization.
6 919 0.830484204405 Henry Cohn, 2026, needs more optimization.
6 920 0.830598812746 Henry Cohn, 2026, needs more optimization.
6 921 0.830621097766 Henry Cohn, 2026, needs more optimization.
6 922 0.830623923326 Henry Cohn, 2026, needs more optimization.
6 923 0.830652786818 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 924 0.830745858067 Pavlos Moros, 2026.
6 925 0.830772285396 Henry Cohn, 2026, needs more optimization.
6 926 0.830841450898 Henry Cohn, 2026, needs more optimization.
6 928 0.831019710861 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 929 0.831180309014 Henry Cohn, 2026, needs more optimization.
6 933 0.831211816091 Robert Dallara, 2026.
6 934 0.831288897508 Henry Cohn, 2026, needs more optimization.
6 935 0.831320034142 Henry Cohn, 2026, needs more optimization.
6 936 0.831340979339 Henry Cohn, 2026, needs more optimization.
6 937 0.831401479423 Henry Cohn, 2026, needs more optimization.
6 938 0.831433167412 Henry Cohn, 2026, needs more optimization.
6 940 0.831681809762 Henry Cohn, 2026, needs more optimization.
6 941 0.831691951474 Henry Cohn, 2026, needs more optimization.
6 942 0.831746372801 Henry Cohn, 2026, needs more optimization.
6 943 0.831770192867 Henry Cohn, 2026, needs more optimization.
6 945 0.831883697593 Henry Cohn, 2026, needs more optimization.
6 946 0.831904501493 Henry Cohn, 2026, needs more optimization.
6 947 0.831951267458 Henry Cohn, 2026, needs more optimization.
6 948 0.832008712646 Henry Cohn, 2026, needs more optimization.
6 949 0.832043999971 Henry Cohn, 2026, needs more optimization.
6 950 0.832053422768 Henry Cohn, 2026, needs more optimization.
6 951 0.832157131674 Henry Cohn, 2026, needs more optimization.
6 952 0.832190871056 Henry Cohn, 2026, needs more optimization.
6 953 0.832203764795 Henry Cohn, 2026, needs more optimization.
6 954 0.832221497891 Henry Cohn, 2026, needs more optimization.
6 955 0.832295863590 Henry Cohn, 2026, needs more optimization.
6 956 0.832306819885 Henry Cohn, 2026, needs more optimization.
6 957 0.832309332342 Henry Cohn, 2026, needs more optimization.
6 958 0.832320590423 Henry Cohn, 2026, needs more optimization.
6 959 0.832418385913 Henry Cohn, 2026, needs more optimization.
6 960 0.832464085538 Henry Cohn, 2026, needs more optimization.
6 961 0.832480655196 Henry Cohn, 2026, needs more optimization.
6 962 0.832511763471 Henry Cohn, 2026, needs more optimization.
6 963 0.832562240812 Henry Cohn, 2026, needs more optimization.
6 964 0.832622229306 Henry Cohn, 2026, needs more optimization.
6 965 0.832694791327 Henry Cohn, 2026, needs more optimization.
6 966 0.832723102222 Henry Cohn, 2026, needs more optimization.
6 967 0.832753862382 Henry Cohn, 2026, needs more optimization.
6 968 0.832816963110 Henry Cohn, 2026, needs more optimization.
6 969 0.832834465926 Henry Cohn, 2026, needs more optimization.
6 970 0.832865024736 Henry Cohn, 2026, needs more optimization.
6 971 0.832877085951 Henry Cohn, 2026, needs more optimization.
6 973 0.832884710312 Henry Cohn, 2026, needs more optimization.
6 974 0.832900829202 Henry Cohn, 2026, needs more optimization.
6 975 0.832990277717 Henry Cohn, 2026, needs more optimization.
6 976 0.833013206413 Henry Cohn, 2026, needs more optimization.
6 990 0.833333333334 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
6⁢x−5
6 1009 0.833333333334 Henry Cohn, 2026.
6⁢x−5
6 1010 0.837129847308 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 1011 0.837186677658 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 1012 0.837254463860 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 1013 0.837291352850 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 1014 0.837414963630 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 1015 0.837470420730 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 1016 0.837529178486 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 1017 0.837594951247 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 1018 0.837648862292 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 1019 0.837700303923 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 1020 0.837764989506 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 1021 0.837788722432 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 1022 0.837818275188 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 1023 0.837953401152 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 1024 0.838042424657 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 15 0.098701776273 P. G. Adams, A numerical approach to Tamme's problem in Euclidean n-space, Master of Science thesis, Oregon State University, 1997, https://hdl.handle.net/1957/33911.
175⁢x3−49⁢x2−7⁢x+1
7 16 0.113320879601 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
Minimal polynomial listed in plain text data
7 17 0.124841583816 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
Minimal polynomial listed in plain text data
7 18 0.126131983623 P. G. Adams, A numerical approach to Tamme's problem in Euclidean n-space, Master of Science thesis, Oregon State University, 1997, https://hdl.handle.net/1957/33911.
47⁢x2+2⁢x−1
7 19 0.156597385418 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
1280⁢x6−352⁢x4−48⁢x3+37⁢x2+3⁢x−1
7 20 0.169520847199 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
23⁢x2+2⁢x−1
7 21 0.181523960801 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
7 22 0.182743997632 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
19⁢x2+2⁢x−1
7 23 0.182743997632 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
19⁢x2+2⁢x−1
7 24 0.182743997632 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
19⁢x2+2⁢x−1
7 25 0.214737233855 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
31⁢x2−2⁢x−1
7 26 0.231331430372 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
7 27 0.240549382010 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
7 28 0.247356651208 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
7 29 0.248893779344 H. Cohn, Small spherical and projective codes, data set, updated 2025, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
7 30 0.249468282003 H. Cohn, Small spherical and projective codes, data set, updated 2024, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
7 31 0.254502767515 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
7 32 0.265595699432 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
7 33 0.270023386002 Henry Cohn, 2024.
7 34 0.277696496789 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
7 35 0.289773019868 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
7 36 0.299959896814 Henry Cohn, 2023.
7 37 0.310451288111 Henry Cohn, 2026.
7 39 0.316279494687 Henry Cohn, 2023.
71⁢x2+6⁢x−9
7 40 0.323843153340 Henry Cohn, 2023.
7 41 0.325408592469 Henry Cohn, 2023.
32⁢x4+40⁢x3−23⁢x2−4⁢x+2
7 42 0.329083455200 Henry Cohn, 2025.
7 43 0.329665776133 Henry Cohn, 2023.
Minimal polynomial listed in plain text data
7 44 0.332131779753 Henry Cohn, 2025.
Minimal polynomial listed in plain text data
7 45 0.333226297127 Henry Cohn, 2026.
7 46 0.333312302683 Henry Cohn, 2026.
7 47 0.333332883018 Henry Cohn, 2026.
7 56* 0.333333333334 T. Gosset, On the regular and semi-regular figures in space of n dimensions, Messenger Math. 29 (1900), 43–48; V. I. Levenšteĭn, On bounds for packings in n-dimensional Euclidean space (Russian), Dokl. Akad. Nauk SSSR 245 (1979), 1299–1303, English translation in Soviet Math. Dokl. 20 (1979), 417–421.
3⁢x−1
7 57 0.389612708410 Henry Cohn, 2025.
7 58 0.393749423280 Henry Cohn, 2023.
7 59 0.403215732973 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 60 0.407983464085 Henry Cohn, 2025.
7 61 0.412356098716 Henry Cohn, 2024.
7 62 0.414165104224 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 63 0.415390831033 Henry Cohn, 2025.
7 64 0.418849672915 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 67 0.421258543571 Henry Cohn, 2024.
622⁢x3−771⁢x2+288⁢x−31
7 68 0.427618295316 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 69 0.428294205644 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 70 0.428504478791 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 78 0.428571428572 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
7⁢x−3
7 79 0.452634554829 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 80 0.453887992064 Henry Cohn, 2024.
Minimal polynomial listed in plain text data
7 81 0.458138645597 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 82 0.459673068887 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 83 0.460413485151 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 84 0.464981341724 Henry Cohn, 2026, needs more optimization.
7 86 0.466580867327 Henry Cohn, 2025.
Minimal polynomial listed in plain text data
7 87 0.469578821552 Henry Cohn, 2024.
7 88 0.471422440239 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
Minimal polynomial listed in plain text data
7 89 0.474245137129 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 90 0.475294477919 Henry Cohn, 2024.
7 91 0.477365257014 Henry Cohn, 2026.
7 92 0.480026527686 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 93 0.481457104911 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 94 0.482085551042 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 95 0.482130625709 Henry Cohn, 2026, needs more optimization.
7 96 0.482645252556 WolfFrogs, 2026.
7 97 0.486842071201 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 98 0.489141129031 Henry Cohn, 2026.
7 99 0.493009411323 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 100 0.494028376036 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 101 0.495013709792 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 102 0.495991491288 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 103 0.496258128498 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 104 0.497026461801 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 105 0.497932794211 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 106 0.498391940490 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 107 0.498832400687 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 108 0.499405316212 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 109 0.499717714402 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 110 0.499849974639 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 111 0.499932087751 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 112 0.499972111374 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 114 0.499996154536 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 116 0.499998956582 WolfFrogs, 2026.
7 117 0.499999898682 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 118 0.499999958695 Henry Cohn, 2026, needs more optimization.
7 126 0.5 A. Korkine and G. Zolotareff, Sur les formes quadratiques, Math. Ann. 6 (1873), 366–389, doi:10.1007/BF01442795; J. Leech, Six and seven dimensional non-lattice sphere packings, Canad. Math. Bull. 12 (1969), 151–155, doi:10.4153/CMB-1969-014-1; J. H. Conway and N. J. A. Sloane, What are all the best sphere packings in low dimensions?, Discrete Comput. Geom. 13 (1995), 383–403, doi:10.1007/BF02574051; H. Cohn, Y. Jiao, A. Kumar, and S. Torquato, Rigidity of spherical codes, Geom. Topol. 15 (2011), 2235–2273, doi:10.2140/gt.2011.15.2235, arXiv:1102.5060.
2⁢x−1
7 127 0.509952460664 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 128 0.513834831907 Henry Cohn, 2026.
7 129 0.517664250674 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 130 0.518780653650 Henry Cohn, 2026, needs more optimization.
7 131 0.519150003376 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 135 0.519150233652 Henry Cohn, 2026, needs more optimization.
7 136 0.519153914324 Henry Cohn, 2026.
7 137 0.519751518195 Henry Cohn, 2024.
7 138 0.527218738805 Henry Cohn, 2025.
7 139 0.529887702848 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 140 0.530991424267 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 141 0.531019863226 Henry Cohn, 2026, needs more optimization.
7 142 0.531099948463 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 143 0.531315987861 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 144 0.531632269397 Henry Cohn, 2026.
7 145 0.532409979782 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 146 0.532826460410 Henry Cohn, 2026, needs more optimization.
7 147 0.533407059487 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 148 0.533990718663 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 149 0.545143756917 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 150 0.545862511912 Henry Cohn, 2026, needs more optimization.
7 151 0.545862511950 Henry Cohn, 2026, needs more optimization.
7 152 0.545862514089 Henry Cohn, 2026, needs more optimization.
7 154 0.546014546135 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
125⁢x9+2745⁢x8+492⁢x7−2092⁢x6−1090⁢x5+94⁢x4+284⁢x3+84⁢x2−3⁢x+1
7 155 0.546473120693 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 156 0.552231942712 Henry Cohn, 2026, needs more optimization.
7 157 0.556095969568 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 159 0.556652086588 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 160 0.558574985937 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 161 0.558829148420 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 162 0.559629485760 Henry Cohn, 2026, needs more optimization.
7 163 0.561105723898 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 164 0.561391411974 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 167 0.561660415728 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 168 0.561688600449 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
7 169 0.562559500091 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 170 0.563591803342 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 171 0.568285910825 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 172 0.569516283466 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 173 0.569772557307 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 174 0.569781795200 Henry Cohn, 2026, needs more optimization.
7 176 0.569781851274 Henry Cohn, 2026, needs more optimization.
7 177 0.570051592256 Henry Cohn, 2026, needs more optimization.
7 178 0.570228301539 Henry Cohn, 2026, needs more optimization.
7 180 0.570547900651 Henry Cohn, 2026.
7 181 0.573146186213 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
1250⁢x8−725⁢x6−300⁢x4−38⁢x2+56
7 182 0.577350269190 J. H. Conway, R. H. Hardin, and N. J. A. Sloane, Packing lines, planes, etc.: packings in Grassmannian spaces, Experiment. Math. 5 (1996), 139–159, https://projecteuclid.org/euclid.em/1047565645; B. Ballinger, G. Blekherman, H. Cohn, N. Giansiracusa, E. Kelly, and A. Schürmann, Experimental study of energy-minimizing point configurations on spheres, Experiment. Math. 18 (2009), 257–283, https://projecteuclid.org/euclid.em/1259158465.
3⁢x2−1
7 183 0.586173768929 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 184 0.588182552503 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 200 0.590112298788 Henry Cohn, 2026.
19⁢x3−9⁢x2−3⁢x+1
7 201 0.594532548165 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 202 0.597686313216 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 203 0.600128337465 WolfFrogs, 2026.
7 204 0.601295919469 Henry Cohn, 2026, needs more optimization.
7 205 0.602323919885 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 206 0.603051862435 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 207 0.603762887635 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 208 0.606261907358 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 209 0.608036706858 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 210 0.609447176471 WolfFrogs, 2026.
7 211 0.610334158251 WolfFrogs, 2026.
7 212 0.611962614152 Henry Cohn, 2026, needs more optimization.
7 213 0.612666339789 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 214 0.613274598742 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 215 0.614265846451 Henry Cohn, 2026, needs more optimization.
7 216 0.615145318474 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 217 0.615821812960 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 218 0.616138000099 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 219 0.616171211557 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 220 0.616489540390 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 221 0.618072988755 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 222 0.618138691217 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 223 0.618284197574 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 224 0.619243319556 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 225 0.620191854122 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 226 0.620889427903 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 227 0.621463490075 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 228 0.622045082672 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 229 0.622619122008 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 230 0.622998352170 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 231 0.623882858473 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 232 0.624634000894 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 233 0.625729741650 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 234 0.626359207806 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 235 0.627077768940 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 236 0.628050135197 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 237 0.628343304510 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 238 0.628689413470 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 239 0.629542282001 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 240 0.630428718354 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 241 0.630995113237 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 242 0.631186177913 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 243 0.631580976420 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 244 0.632169787810 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 245 0.632557182538 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 246 0.632690512087 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 247 0.633041581930 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 248 0.633531256933 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 249 0.634005570915 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 250 0.634498994974 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 251 0.635054033292 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 252 0.635379252074 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 253 0.636072520703 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 254 0.636181984015 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 255 0.636304059783 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 256 0.636676560404 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 257 0.637091507336 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 258 0.638090152940 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 259 0.638288180449 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 260 0.640593813340 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 261 0.641186208924 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 262 0.641458121743 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 263 0.642130071667 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 264 0.642528401111 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 265 0.643020018504 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 266 0.643687803365 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 267 0.643761014902 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 268 0.644544518651 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 269 0.645078049999 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 270 0.645399678427 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 271 0.645697139263 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 272 0.646179558520 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 273 0.646771336972 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 274 0.647182389105 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 275 0.647249492054 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 276 0.648224249521 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 277 0.648930143630 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 278 0.649374420425 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 279 0.649443057435 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 280 0.650400449861 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 281 0.650785775015 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 283 0.651304534193 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 284 0.651365423545 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 285 0.651726869173 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 286 0.652356507672 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 287 0.652833941504 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 288 0.653167620448 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 289 0.653550461545 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 290 0.654068934430 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 291 0.654610847293 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 292 0.655194179103 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 293 0.655672673704 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 294 0.656079771887 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 295 0.656205231797 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 296 0.656422764334 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 297 0.656462509627 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 298 0.656587490507 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 299 0.658504328369 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 300 0.658582159951 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 301 0.658652259277 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 302 0.659191237040 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 303 0.659444242414 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 304 0.659533621246 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 305 0.659758601169 Pavlos Moros, 2026.
7 306 0.659802892264 WolfFrogs, 2026.
7 307 0.660073046898 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 308 0.660836744901 Henry Cohn, 2026, needs more optimization.
7 309 0.660912967551 Henry Cohn, 2026, needs more optimization.
7 310 0.660953811794 Henry Cohn, 2026, needs more optimization.
7 311 0.661014039051 WolfFrogs, 2026.
7 312 0.661595420972 Henry Cohn, 2026, needs more optimization.
7 313 0.661974195320 Henry Cohn, 2026, needs more optimization.
7 314 0.662290658947 Henry Cohn, 2026, needs more optimization.
7 315 0.662675365192 Henry Cohn, 2026, needs more optimization.
7 316 0.663332152344 Henry Cohn, 2026, needs more optimization.
7 317 0.663597580717 Henry Cohn, 2026, needs more optimization.
7 318 0.663816385482 Henry Cohn, 2026, needs more optimization.
7 319 0.664145879861 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 320 0.664199615726 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 321 0.664752832524 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 322 0.665029616003 Henry Cohn, 2026, needs more optimization.
7 323 0.665046095133 Henry Cohn, 2026, needs more optimization.
7 324 0.665072265371 WolfFrogs, 2026.
7 325 0.665504583307 Henry Cohn, 2026, needs more optimization.
7 326 0.665523809469 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 327 0.665676566326 Pavlos Moros, 2026.
7 328 0.665684209414 WolfFrogs, 2026.
7 329 0.665737853366 WolfFrogs, 2026.
7 330 0.665844728665 Pavlos Moros, 2026.
7 331 0.665888692614 Pavlos Moros, 2026.
7 332 0.665951399591 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 333 0.666009092842 WolfFrogs, 2026.
7 334 0.666148409335 Pavlos Moros, 2026.
7 335 0.666203113851 WolfFrogs, 2026.
7 337 0.666666227468 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 358 0.666666666667 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
3⁢x−2
7 359 0.668169153059 WolfFrogs, 2026.
7 360 0.668706906376 WolfFrogs, 2026.
7 361 0.668937710977 Pavlos Moros, 2026.
7 362 0.668965357603 Henry Cohn, 2026, needs more optimization.
7 363 0.668971516703 Henry Cohn, 2026, needs more optimization.
7 364 0.670170636995 Henry Cohn, 2026, needs more optimization.
7 365 0.670487284551 Henry Cohn, 2026, needs more optimization.
7 366 0.670943830170 Henry Cohn, 2026, needs more optimization.
7 367 0.671529770134 Henry Cohn, 2026, needs more optimization.
7 368 0.671589583556 Henry Cohn, 2026, needs more optimization.
7 369 0.671843346549 Henry Cohn, 2026, needs more optimization.
7 370 0.672138577595 Henry Cohn, 2026, needs more optimization.
7 371 0.672567223992 Henry Cohn, 2026, needs more optimization.
7 372 0.673711888583 Henry Cohn, 2026, needs more optimization.
7 373 0.674102303943 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 374 0.674190115034 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 375 0.674281105873 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 376 0.674454849264 Pavlos Moros, 2026.
7 377 0.674667198991 Henry Cohn, 2026, needs more optimization.
7 378 0.674828727221 Henry Cohn, 2026, needs more optimization.
7 379 0.675033603179 Henry Cohn, 2026, needs more optimization.
7 380 0.675445807522 Henry Cohn, 2026, needs more optimization.
7 381 0.675808310536 Henry Cohn, 2026, needs more optimization.
7 382 0.676114765506 Henry Cohn, 2026, needs more optimization.
7 383 0.676438903326 Henry Cohn, 2026, needs more optimization.
7 384 0.676454034733 WolfFrogs, 2026.
7 385 0.676773289977 WolfFrogs, 2026.
7 386 0.676987932208 WolfFrogs, 2026.
7 387 0.677258345846 Henry Cohn, 2026, needs more optimization.
7 388 0.677404547511 Henry Cohn, 2026, needs more optimization.
7 389 0.677586811319 Henry Cohn, 2026, needs more optimization.
7 390 0.678071844014 Henry Cohn, 2026, needs more optimization.
7 391 0.678531188699 WolfFrogs, 2026.
7 392 0.678617609860 Pavlos Moros, 2026.
7 393 0.678680854392 Pavlos Moros, 2026.
7 394 0.678995836414 Henry Cohn, 2026, needs more optimization.
7 395 0.679212930072 Henry Cohn, 2026, needs more optimization.
7 396 0.679772884852 Henry Cohn, 2026, needs more optimization.
7 397 0.679987652778 Henry Cohn, 2026, needs more optimization.
7 398 0.680364880821 Henry Cohn, 2026, needs more optimization.
7 399 0.680373521377 WolfFrogs, 2026.
7 400 0.680517633957 Pavlos Moros, 2026.
7 401 0.680747447429 Henry Cohn, 2026, needs more optimization.
7 402 0.680799165046 Henry Cohn, 2026, needs more optimization.
7 403 0.681094932061 Henry Cohn, 2026, needs more optimization.
7 404 0.681366111758 Henry Cohn, 2026, needs more optimization.
7 405 0.681635241575 Henry Cohn, 2026, needs more optimization.
7 406 0.681791008626 Henry Cohn, 2026, needs more optimization.
7 407 0.681920393297 Henry Cohn, 2026, needs more optimization.
7 408 0.682087868865 Henry Cohn, 2026, needs more optimization.
7 409 0.682158712340 Henry Cohn, 2026, needs more optimization.
7 410 0.682324635030 Henry Cohn, 2026, needs more optimization.
7 411 0.682478173365 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 412 0.682558357200 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 413 0.682649609582 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 414 0.682696261287 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 415 0.683124815489 Robert Dallara, 2026.
7 416 0.683605185442 Henry Cohn, 2026, needs more optimization.
7 417 0.684337252135 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 418 0.684466752198 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 419 0.684656891595 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 420 0.684893904948 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 421 0.686025174605 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 422 0.686119368175 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 423 0.686464760775 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 424 0.687033332940 Henry Cohn, 2026, needs more optimization.
7 425 0.687653415737 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 426 0.687727691479 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 427 0.688622935047 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 428 0.690028157707 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 429 0.690507028096 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 430 0.690742364318 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 431 0.691181732244 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 432 0.691747133075 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 433 0.691950678194 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 434 0.692156237986 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 435 0.692280231777 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 436 0.692772907719 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 437 0.693448904545 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 438 0.693767795522 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 439 0.694371498627 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 440 0.694888014866 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 441 0.695271739914 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 442 0.695326801940 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 443 0.695734475298 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 444 0.696124399595 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 445 0.696369706031 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 446 0.696574620743 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 447 0.697104265387 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 448 0.697542283467 Henry Cohn, 2026, needs more optimization.
7 449 0.697550335142 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 450 0.697896694931 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 451 0.698315425222 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 452 0.698851680484 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 453 0.699212330326 Henry Cohn, 2026, needs more optimization.
7 454 0.699235097183 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 455 0.699441285078 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 456 0.700092893513 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 457 0.700604503736 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 458 0.700962962520 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 459 0.701229453020 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 460 0.701472656061 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 461 0.701563076108 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 462 0.701582126648 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 463 0.701687181911 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 464 0.701718663875 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 465 0.701882406429 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 466 0.701974510217 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 467 0.702063385068 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 468 0.702159835793 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 469 0.702411029962 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 470 0.702577979825 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 471 0.702769927535 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 472 0.702836344629 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 473 0.702898317611 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 474 0.702962251552 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 475 0.703210961317 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 476 0.703684564606 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 477 0.703829511590 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 478 0.703927263442 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 479 0.704008119370 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 480 0.704062531422 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 481 0.704318494373 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 482 0.704318906579 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 483 0.704324362875 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 484 0.704324538641 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 485 0.704324645809 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 486 0.704351866857 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 487 0.704715021457 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 488 0.704720287615 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 489 0.704725995852 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 490 0.704860223871 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 491 0.704905350396 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 492 0.705268927435 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 493 0.705315470762 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 494 0.705714374402 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 495 0.705924364414 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 496 0.706087155555 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 497 0.708920740472 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 498 0.708935853416 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 499 0.709084735432 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 500 0.709294229403 Robert Dallara, 2026.
7 501 0.709670795077 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 502 0.709919504166 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 503 0.709999238958 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 504 0.710720538297 Henry Cohn, 2026, needs more optimization.
7 505 0.710745098562 Henry Cohn, 2026, needs more optimization.
7 506 0.710766465595 Henry Cohn, 2026, needs more optimization.
7 507 0.710786205052 Henry Cohn, 2026, needs more optimization.
7 508 0.710796908872 Henry Cohn, 2026, needs more optimization.
7 509 0.710836309273 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 510 0.711174356334 Henry Cohn, 2026, needs more optimization.
7 511 0.711186885050 Henry Cohn, 2026, needs more optimization.
7 512 0.711192424890 Henry Cohn, 2026, needs more optimization.
7 513 0.711195077901 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 514 0.711449040359 Henry Cohn, 2026, needs more optimization.
7 516 0.711760988309 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 520 0.712166099003 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 521 0.712166099003 Henry Cohn, 2026, needs more optimization.
7 522 0.712487774686 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 523 0.712690226987 Pavlos Moros, 2026.
7 524 0.712933228798 Pavlos Moros, 2026.
7 525 0.712938394028 Pavlos Moros, 2026.
7 526 0.712959786318 Pavlos Moros, 2026.
7 527 0.712995822311 Pavlos Moros, 2026.
7 528 0.713064993855 Pavlos Moros, 2026.
7 529 0.713152072822 Henry Cohn, 2026, needs more optimization.
7 530 0.713308298778 Henry Cohn, 2026, needs more optimization.
7 531 0.713361365434 Henry Cohn, 2026, needs more optimization.
7 532 0.713415208296 Henry Cohn, 2026, needs more optimization.
7 533 0.713447404957 Henry Cohn, 2026, needs more optimization.
7 534 0.713451231728 Henry Cohn, 2026, needs more optimization.
7 535 0.713464195701 Henry Cohn, 2026, needs more optimization.
7 536 0.713490025516 Henry Cohn, 2026, needs more optimization.
7 537 0.713745249663 Henry Cohn, 2026, needs more optimization.
7 538 0.713747925516 Henry Cohn, 2026, needs more optimization.
7 539 0.713786173867 Henry Cohn, 2026, needs more optimization.
7 540 0.713838001218 Henry Cohn, 2026, needs more optimization.
7 541 0.713899714077 Henry Cohn, 2026, needs more optimization.
7 542 0.713934656242 Henry Cohn, 2026, needs more optimization.
7 543 0.713970584462 Henry Cohn, 2026, needs more optimization.
7 544 0.714028094026 Henry Cohn, 2026, needs more optimization.
7 545 0.714047710626 Henry Cohn, 2026, needs more optimization.
7 546 0.714048147661 Henry Cohn, 2026, needs more optimization.
7 547 0.714050848158 Pavlos Moros, 2026.
7 548 0.714090766715 Henry Cohn, 2026, needs more optimization.
7 549 0.714157319643 Henry Cohn, 2026, needs more optimization.
7 550 0.714164044793 Henry Cohn, 2026, needs more optimization.
7 551 0.714167970915 Henry Cohn, 2026, needs more optimization.
7 632 0.714285714286 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
7⁢x−5
7 633 0.718297547507 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 634 0.720000325262 Henry Cohn, 2026, needs more optimization.
7 635 0.721178135016 Henry Cohn, 2026, needs more optimization.
7 636 0.722117612140 Henry Cohn, 2026, needs more optimization.
7 637 0.722898070316 Henry Cohn, 2026, needs more optimization.
7 638 0.723668992008 Henry Cohn, 2026, needs more optimization.
7 639 0.724487592055 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 640 0.724989550022 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 641 0.725503573961 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 642 0.726049803564 Henry Cohn, 2026, needs more optimization.
7 643 0.726401613030 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 644 0.726738816647 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 645 0.727061786776 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 646 0.727302059181 Henry Cohn, 2026, needs more optimization.
7 647 0.727483831901 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 648 0.727700360073 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 649 0.728403816927 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 650 0.728962854589 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 651 0.729132641692 Henry Cohn, 2026, needs more optimization.
7 652 0.729538070659 Henry Cohn, 2026, needs more optimization.
7 653 0.729742995436 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 654 0.729942356993 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 655 0.730234365691 Henry Cohn, 2026, needs more optimization.
7 656 0.730552174611 Henry Cohn, 2026, needs more optimization.
7 657 0.730761943477 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 658 0.730961181165 Henry Cohn, 2026, needs more optimization.
7 659 0.731366900178 Henry Cohn, 2026, needs more optimization.
7 660 0.731486941472 Henry Cohn, 2026, needs more optimization.
7 661 0.731863699076 Henry Cohn, 2026, needs more optimization.
7 662 0.732087884592 Henry Cohn, 2026, needs more optimization.
7 663 0.732304878451 Henry Cohn, 2026, needs more optimization.
7 664 0.732496825563 Henry Cohn, 2026, needs more optimization.
7 665 0.732896017382 Henry Cohn, 2026, needs more optimization.
7 666 0.733212843605 Henry Cohn, 2026, needs more optimization.
7 667 0.733492038260 Henry Cohn, 2026, needs more optimization.
7 668 0.733751603834 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 669 0.734013794084 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 670 0.734308428381 Henry Cohn, 2026, needs more optimization.
7 671 0.734575888299 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 672 0.734847145525 Henry Cohn, 2026, needs more optimization.
7 673 0.735093096240 Henry Cohn, 2026, needs more optimization.
7 674 0.735512085017 Henry Cohn, 2026, needs more optimization.
7 676 0.735569166015 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 677 0.735823555567 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 678 0.736072446053 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 679 0.736272812651 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 680 0.736863792885 Henry Cohn, 2026, needs more optimization.
7 681 0.737096335481 Henry Cohn, 2026, needs more optimization.
7 682 0.737345515987 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 683 0.737495039972 Henry Cohn, 2026, needs more optimization.
7 684 0.737632275025 Henry Cohn, 2026, needs more optimization.
7 685 0.737758004643 Henry Cohn, 2026, needs more optimization.
7 687 0.737984557876 Henry Cohn, 2026, needs more optimization.
7 688 0.737985060582 Henry Cohn, 2026, needs more optimization.
7 689 0.737990568451 Henry Cohn, 2026, needs more optimization.
7 690 0.738002300377 Henry Cohn, 2026, needs more optimization.
7 698 0.738395191654 Henry Cohn, 2026, needs more optimization.
7 699 0.738450524038 Henry Cohn, 2026, needs more optimization.
7 700 0.738653996455 Henry Cohn, 2026, needs more optimization.
7 701 0.739112861611 Henry Cohn, 2026, needs more optimization.
7 702 0.739266906138 Henry Cohn, 2026, needs more optimization.
7 703 0.739274108134 Henry Cohn, 2026, needs more optimization.
7 704 0.739879921181 Henry Cohn, 2026, needs more optimization.
7 705 0.739898415005 Henry Cohn, 2026, needs more optimization.
7 706 0.739958038566 Henry Cohn, 2026, needs more optimization.
7 707 0.739968577980 Henry Cohn, 2026, needs more optimization.
7 708 0.739989297770 Henry Cohn, 2026, needs more optimization.
7 709 0.740010416027 Henry Cohn, 2026, needs more optimization.
7 710 0.740045720105 Henry Cohn, 2026, needs more optimization.
7 711 0.740058641509 Henry Cohn, 2026, needs more optimization.
7 712 0.740060454968 Henry Cohn, 2026, needs more optimization.
7 713 0.740063741723 Henry Cohn, 2026, needs more optimization.
7 714 0.740150595821 Henry Cohn, 2026, needs more optimization.
7 715 0.740332298711 Henry Cohn, 2026, needs more optimization.
7 716 0.740365281654 Henry Cohn, 2026, needs more optimization.
7 717 0.740404600677 Henry Cohn, 2026, needs more optimization.
7 718 0.740679472823 Henry Cohn, 2026, needs more optimization.
7 719 0.741111416086 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 727 0.741508429758 Henry Cohn, 2026, needs more optimization.
7 728 0.741508571958 Robert Dallara, 2026.
7 729 0.741954370976 Henry Cohn, 2026, needs more optimization.
7 730 0.741966452269 Henry Cohn, 2026, needs more optimization.
7 731 0.741978826844 Henry Cohn, 2026, needs more optimization.
7 732 0.741989483150 Henry Cohn, 2026, needs more optimization.
7 733 0.742000939412 Henry Cohn, 2026, needs more optimization.
7 734 0.742012748734 Henry Cohn, 2026, needs more optimization.
7 735 0.742023559784 Henry Cohn, 2026, needs more optimization.
7 736 0.742032505986 Henry Cohn, 2026, needs more optimization.
7 737 0.742043119637 Henry Cohn, 2026, needs more optimization.
7 738 0.742055332916 Henry Cohn, 2026, needs more optimization.
7 739 0.742071187326 Henry Cohn, 2026, needs more optimization.
7 740 0.742092346989 Henry Cohn, 2026, needs more optimization.
7 741 0.742117480488 Henry Cohn, 2026, needs more optimization.
7 742 0.742151595814 Henry Cohn, 2026, needs more optimization.
7 743 0.742201833323 Henry Cohn, 2026, needs more optimization.
7 744 0.742352551089 Henry Cohn, 2026, needs more optimization.
7 748 0.743551158065 Pavlos Moros, 2026.
7 749 0.743582940340 Pavlos Moros, 2026.
7 750 0.743589725346 Henry Cohn, 2026, needs more optimization.
7 792 0.744904412220 Henry Cohn, 2026, needs more optimization.
7 793 0.745668045136 Henry Cohn, 2026, needs more optimization.
7 794 0.746414751725 Henry Cohn, 2026, needs more optimization.
7 795 0.747722460793 Henry Cohn, 2026, needs more optimization.
7 796 0.747806529923 Henry Cohn, 2026, needs more optimization.
7 797 0.748073459601 Henry Cohn, 2026, needs more optimization.
7 798 0.748302826582 Henry Cohn, 2026, needs more optimization.
7 882 0.75 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
4⁢x−3
7 883 0.755753466768 Henry Cohn, 2026, needs more optimization.
7 884 0.758445321203 Henry Cohn, 2026, needs more optimization.
7 885 0.758472952827 Henry Cohn, 2026, needs more optimization.
7 886 0.758498496880 Henry Cohn, 2026, needs more optimization.
7 887 0.758520687924 Henry Cohn, 2026, needs more optimization.
7 888 0.758542497350 Henry Cohn, 2026, needs more optimization.
7 889 0.758569458295 Henry Cohn, 2026, needs more optimization.
7 890 0.758574722277 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 891 0.758951342842 Henry Cohn, 2026, needs more optimization.
7 892 0.759549230026 Henry Cohn, 2026, needs more optimization.
7 893 0.759943196532 Henry Cohn, 2026, needs more optimization.
7 894 0.760591270706 Henry Cohn, 2026, needs more optimization.
7 895 0.760658578139 Henry Cohn, 2026, needs more optimization.
7 896 0.760750349076 Henry Cohn, 2026, needs more optimization.
7 897 0.761116273857 Henry Cohn, 2026, needs more optimization.
7 898 0.761159279682 Henry Cohn, 2026, needs more optimization.
7 899 0.761210745738 Henry Cohn, 2026, needs more optimization.
7 900 0.761265854463 Henry Cohn, 2026, needs more optimization.
7 901 0.761320444104 Henry Cohn, 2026, needs more optimization.
7 902 0.761375299312 Henry Cohn, 2026, needs more optimization.
7 903 0.761422911197 Henry Cohn, 2026, needs more optimization.
7 904 0.761471434599 Henry Cohn, 2026, needs more optimization.
7 905 0.761711108403 Henry Cohn, 2026, needs more optimization.
7 906 0.761767439605 Henry Cohn, 2026, needs more optimization.
7 907 0.761831703823 Henry Cohn, 2026, needs more optimization.
7 908 0.762111276215 Henry Cohn, 2026, needs more optimization.
7 909 0.762409655625 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 910 0.762431279968 Henry Cohn, 2026, needs more optimization.
7 911 0.762551996370 Henry Cohn, 2026, needs more optimization.
7 912 0.762553639227 Henry Cohn, 2026, needs more optimization.
7 913 0.762554283556 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 914 0.762923201461 Henry Cohn, 2026, needs more optimization.
7 915 0.762933332635 Henry Cohn, 2026, needs more optimization.
7 916 0.762940253373 Henry Cohn, 2026, needs more optimization.
7 917 0.762952157853 Henry Cohn, 2026, needs more optimization.
7 918 0.762953731790 Henry Cohn, 2026, needs more optimization.
7 919 0.762954157984 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 920 0.763220735220 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 921 0.763279598096 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 922 0.763317129221 Pavlos Moros, 2026.
7 923 0.763457640082 Henry Cohn, 2026, needs more optimization.
7 924 0.763457640083 Henry Cohn, 2026, needs more optimization.
7 925 0.764026973880 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 926 0.764540927622 Henry Cohn, 2026, needs more optimization.
7 927 0.764902124088 Henry Cohn, 2026, needs more optimization.
7 928 0.765350249029 Henry Cohn, 2026, needs more optimization.
7 929 0.765444244741 Henry Cohn, 2026, needs more optimization.
7 930 0.765755276362 Henry Cohn, 2026, needs more optimization.
7 931 0.765968872072 Henry Cohn, 2026, needs more optimization.
7 932 0.766351893436 Henry Cohn, 2026, needs more optimization.
7 933 0.766777930276 Henry Cohn, 2026, needs more optimization.
7 934 0.767207742411 Henry Cohn, 2026, needs more optimization.
7 935 0.767267452627 Henry Cohn, 2026, needs more optimization.
7 936 0.767303962976 Henry Cohn, 2026, needs more optimization.
7 937 0.767357568551 Henry Cohn, 2026, needs more optimization.
7 938 0.767402748751 Henry Cohn, 2026, needs more optimization.
7 939 0.767529732572 Henry Cohn, 2026, needs more optimization.
7 940 0.767572133880 Henry Cohn, 2026, needs more optimization.
7 941 0.767626068071 Henry Cohn, 2026, needs more optimization.
7 942 0.767666590278 Henry Cohn, 2026, needs more optimization.
7 943 0.767707082863 Henry Cohn, 2026, needs more optimization.
7 944 0.767759142105 Henry Cohn, 2026, needs more optimization.
7 945 0.767993542455 Henry Cohn, 2026, needs more optimization.
7 946 0.768064518370 Henry Cohn, 2026, needs more optimization.
7 947 0.768149314391 Henry Cohn, 2026, needs more optimization.
7 948 0.768301195711 Henry Cohn, 2026, needs more optimization.
7 949 0.768576191721 Henry Cohn, 2026, needs more optimization.
7 950 0.768917648149 Henry Cohn, 2026, needs more optimization.
7 951 0.768972655622 Henry Cohn, 2026, needs more optimization.
7 952 0.769026536834 Henry Cohn, 2026, needs more optimization.
7 953 0.769085726834 Henry Cohn, 2026, needs more optimization.
7 954 0.769134176224 Henry Cohn, 2026, needs more optimization.
7 955 0.769184218690 Henry Cohn, 2026, needs more optimization.
7 956 0.769278496824 Henry Cohn, 2026, needs more optimization.
7 957 0.769378934231 Henry Cohn, 2026, needs more optimization.
7 958 0.769467251842 Henry Cohn, 2026, needs more optimization.
7 959 0.770332027826 Henry Cohn, 2026, needs more optimization.
7 960 0.770407600492 Henry Cohn, 2026, needs more optimization.
7 961 0.770480020393 Henry Cohn, 2026, needs more optimization.
7 962 0.770539696162 Henry Cohn, 2026, needs more optimization.
7 963 0.770622245697 Henry Cohn, 2026, needs more optimization.
7 964 0.770841572390 Henry Cohn, 2026, needs more optimization.
7 965 0.770922470717 Henry Cohn, 2026, needs more optimization.
7 966 0.770999614537 Henry Cohn, 2026, needs more optimization.
7 967 0.771091164926 Henry Cohn, 2026, needs more optimization.
7 968 0.771334887733 Henry Cohn, 2026, needs more optimization.
7 969 0.771475827147 Henry Cohn, 2026, needs more optimization.
7 970 0.771683308301 Henry Cohn, 2026, needs more optimization.
7 971 0.771799878472 Henry Cohn, 2026, needs more optimization.
7 972 0.771911457023 Henry Cohn, 2026, needs more optimization.
7 973 0.772089902786 Henry Cohn, 2026, needs more optimization.
7 974 0.772205384911 Henry Cohn, 2026, needs more optimization.
7 975 0.772346754176 Henry Cohn, 2026, needs more optimization.
7 976 0.772489828490 Henry Cohn, 2026, needs more optimization.
7 977 0.772657248281 Henry Cohn, 2026, needs more optimization.
7 978 0.772809023962 Henry Cohn, 2026, needs more optimization.
7 979 0.773002418933 Henry Cohn, 2026, needs more optimization.
7 980 0.773199075401 Henry Cohn, 2026, needs more optimization.
7 981 0.773483054531 Henry Cohn, 2026, needs more optimization.
7 982 0.773833773579 Henry Cohn, 2026, needs more optimization.
7 983 0.774101396061 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 984 0.774140470908 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 985 0.774265123175 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 986 0.774312872516 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 987 0.774445460923 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 988 0.774538799958 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 989 0.774576423774 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 990 0.774686809382 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 991 0.774759140788 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 992 0.774838876425 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 993 0.774895931916 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 994 0.774976069092 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 995 0.775061902746 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 996 0.775129224781 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 997 0.775240948670 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 998 0.775289254887 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 999 0.775387299770 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1000 0.775391318859 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1001 0.775417733942 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1002 0.775563049573 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1003 0.775619943255 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1004 0.775629234249 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1005 0.775762057171 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1006 0.775866607337 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1007 0.775911422320 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1008 0.776013384220 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1009 0.776096249548 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1010 0.776166271117 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1011 0.776281325897 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1012 0.776302768781 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1013 0.776373199650 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1014 0.776496808380 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1015 0.776581038745 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1016 0.776628980050 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1017 0.776730192660 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1018 0.776794271547 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1019 0.776885810907 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1020 0.776962420196 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1021 0.777035407862 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1022 0.777093723875 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1023 0.777156727196 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1024 0.777224123936 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 17 0.087733463324 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
288⁢x3−64⁢x2−8⁢x+1
8 18 0.099469572709 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
8 19 0.111409975027 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
Minimal polynomial listed in plain text data
8 20 0.119496866688 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
224⁢x3+60⁢x2−2⁢x−1
8 21 0.130601937482 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
28⁢x2+4⁢x−1
8 22 0.130601937482 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
28⁢x2+4⁢x−1
8 23 0.157169941990 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
Minimal polynomial listed in plain text data
8 24 0.157692144940 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
4⁢x4−4⁢x3−27⁢x2−2⁢x+1
8 25 0.164334174126 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
Minimal polynomial listed in plain text data
8 26 0.172652095036 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
Minimal polynomial listed in plain text data
8 27 0.179856457059 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
Minimal polynomial listed in plain text data
8 28 0.181158420022 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
36⁢x4+24⁢x3−36⁢x2+1
8 29 0.187922490077 H. Cohn, Small spherical and projective codes, data set, updated 2024, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
8 30 0.203916279404 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
8 31 0.219706528517 H. Cohn, Small spherical and projective codes, data set, updated 2024, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
8 32 0.227325452024 H. Cohn, Small spherical and projective codes, data set, updated 2023, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
95⁢x2−4⁢x−4
8 33 0.227325452024 Henry Cohn, 2023.
95⁢x2−4⁢x−4
8 34 0.233864616950 Henry Cohn, 2023.
26887680⁢x6+11003904⁢x5−444096⁢x4−594432⁢x3−55800⁢x2−480⁢x−1
8 35 0.236461100794 Henry Cohn, 2023.
4⁢x4+8⁢x3−20⁢x2+1
8 38 0.239920745566 Henry Cohn, 2023.
1088⁢x4−80⁢x2+1
8 39 0.243600150512 Henry Cohn, 2023.
1183744⁢x8+122880⁢x7−575488⁢x6−138240⁢x5+53632⁢x4+14976⁢x3−1568⁢x2−720⁢x+81
8 40 0.265121155593 Henry Cohn, 2025.
8 41 0.269588854450 Henry Cohn, 2025.
8 42 0.276791074187 Henry Cohn, 2023.
8 43 0.285155668748 Henry Cohn, 2025.
8 44 0.288883348745 Henry Cohn, 2026.
8 45 0.293504048474 Henry Cohn, 2025.
8 46 0.298271343353 Henry Cohn, 2025.
8 47 0.301070997037 Henry Cohn, 2025.
8 48 0.306282125496 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 49 0.310389147843 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 50 0.314033492890 Henry Cohn, 2026.
8 51 0.316443462389 Henry Cohn, 2026.
8 52 0.317147531407 Henry Cohn, 2025.
8 53 0.323010527708 Henry Cohn, 2025.
8 54 0.326002020004 Henry Cohn, 2025.
8 55 0.328647326389 Henry Cohn, 2025.
8 56 0.330635803908 Henry Cohn, 2024.
8 57 0.332150812596 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 58 0.332676598414 Henry Cohn, 2025.
8 59 0.333047458957 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 60 0.333151357502 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 61 0.333209980467 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 62 0.333256273907 Henry Cohn, 2025.
8 63 0.333327460019 Henry Cohn, 2025.
8 64 0.333333333334 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
3⁢x−1
8 65 0.340292894900 Henry Cohn, 2025.
8 66 0.348587110939 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 67 0.350755730045 Henry Cohn, 2025.
8 68 0.352461904199 Henry Cohn, 2025.
8 71 0.353553390594 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
8⁢x2−1
8 72 0.357142857143 J. H. Conway, R. H. Hardin, and N. J. A. Sloane, Packing lines, planes, etc.: packings in Grassmannian spaces, Experiment. Math. 5 (1996), 139–159, https://projecteuclid.org/euclid.em/1047565645.
14⁢x−5
8 73 0.374351529308 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 74 0.375030122030 Henry Cohn, 2025.
8 75 0.380095198353 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 76 0.383280469013 Henry Cohn, 2023.
8 77 0.386305789989 Henry Cohn, 2025.
8 78 0.387847284160 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 79 0.394981375552 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 80 0.396538111934 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 83 0.4 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5⁢x−2
8 84 0.401846838467 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 85 0.404581540848 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 86 0.405334578003 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 87 0.409316951820 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 88 0.414496555473 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 89 0.418879541456 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 90 0.420094879237 WolfFrogs, 2026.
8 91 0.422012113619 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 92 0.422534257743 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 93 0.423439618648 Henry Cohn, 2026.
8 94 0.425228129624 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 95 0.425941370243 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 96 0.426574591730 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 97 0.427496184451 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 98 0.428017627035 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 99 0.428528982794 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 100 0.428556416307 Henry Cohn, 2026.
8 101 0.428570622361 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 114 0.428571428572 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
7⁢x−3
8 115 0.447549129183 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 116 0.448006550764 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 117 0.451120240325 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 118 0.455245746618 Henry Cohn, 2026, needs more optimization.
8 119 0.458816799509 Henry Cohn, 2026, needs more optimization.
8 120 0.459496186372 Henry Cohn, 2026, needs more optimization.
8 121 0.460383302935 Pavlos Moros, 2026.
8 122 0.461371601821 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 123 0.461840931837 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 124 0.462008783202 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 125 0.462338089318 Henry Cohn, 2026, needs more optimization.
8 126 0.462549606861 Henry Cohn, 2026, needs more optimization.
8 136 0.462585942982 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
68⁢x2−12⁢x−9
8 137 0.466198512763 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 138 0.467414917187 Henry Cohn, 2026, needs more optimization.
8 139 0.468626675290 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 140 0.470739428997 Henry Cohn, 2026, needs more optimization.
8 141 0.472435490732 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 142 0.475908730230 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 143 0.476461010968 Henry Cohn, 2026, needs more optimization.
8 144 0.480908914999 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 145 0.481521469834 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 146 0.482399773434 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 147 0.484209448415 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 148 0.484245716110 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 149 0.486767184379 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 150 0.488504836866 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 151 0.489363653240 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 152 0.490014984889 Pavlos Moros, 2026.
8 153 0.490315389854 Robert Dallara, 2026.
8 154 0.491381172830 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 155 0.491623402860 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 156 0.492141029230 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 157 0.492267411729 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 158 0.492271275301 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 159 0.493786626741 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 160 0.494568722728 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 161 0.495153169130 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 162 0.495542015193 Henry Cohn, 2026, needs more optimization.
8 163 0.495955193965 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 164 0.496214575647 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 165 0.496460499905 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 166 0.496544477279 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 167 0.497690596335 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 168 0.497869050483 Pavlos Moros, 2026.
8 169 0.498134958413 Henry Cohn, 2026, needs more optimization.
8 170 0.498357159483 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 171 0.498524508761 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 172 0.498771778705 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 173 0.499105256774 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 174 0.499223817331 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 175 0.499471339965 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 176 0.499589472866 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 177 0.499697127938 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 178 0.499766168860 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 179 0.499813915649 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 180 0.499908532950 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 181 0.499916999850 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 182 0.499946752549 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 183 0.499963528269 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 184 0.499988283361 Henry Cohn, 2026, needs more optimization.
8 185 0.499990000854 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 186 0.499993235395 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 187 0.499999788617 Henry Cohn, 2026, needs more optimization.
8 189 0.499999886058 Henry Cohn, 2026, needs more optimization.
8 240* 0.5 A. Korkine and G. Zolotareff, Sur les formes quadratiques, Math. Ann. 6 (1873), 366–389, doi:10.1007/BF01442795; V. I. Levenšteĭn, On bounds for packings in n-dimensional Euclidean space (Russian), Dokl. Akad. Nauk SSSR 245 (1979), 1299–1303, English translation in Soviet Math. Dokl. 20 (1979), 417–421; A. M. Odlyzko and N. J. A. Sloane, New bounds on the number of unit spheres that can touch a unit sphere in n dimensions, J. Combin. Theory Ser. A 26 (1979), 210–214, doi:10.1016/0097-3165(79)90074-8.
2⁢x−1
8 241 0.539498331391 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 242 0.543974310796 Pavlos Moros, 2026.
8 243 0.547175986802 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 244 0.549283805935 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 245 0.551383290811 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 246 0.552666772638 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 247 0.553380715777 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 248 0.554843432677 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 249 0.557438797449 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 250 0.558859739958 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 251 0.560701675879 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 252 0.560729052569 Pavlos Moros, 2026.
8 253 0.560729059581 Henry Cohn, 2026, needs more optimization.
8 254 0.560832899368 Pavlos Moros, 2026.
8 255 0.561198852396 Henry Cohn, 2026, needs more optimization.
8 256 0.564484384386 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 257 0.564819276924 Henry Cohn, 2026, needs more optimization.
8 258 0.566617263443 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 259 0.567708187725 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 260 0.567938718584 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 261 0.568315480809 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 262 0.568718541820 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 263 0.569191072952 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 264 0.569346298628 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 265 0.569975406430 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 266 0.570379610932 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 267 0.570956983991 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 268 0.571626825233 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 269 0.571639545283 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 270 0.572665394731 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 271 0.573012760070 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 272 0.574469280682 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 273 0.575232785129 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 275 0.575644859050 Robert Dallara, 2026.
8 285 0.577069495831 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 286 0.577251134187 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 287 0.578094938896 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 288 0.578133513088 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 289 0.579090015172 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 290 0.579741701560 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 291 0.580750191938 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 292 0.580921020516 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 293 0.582165966195 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 294 0.583062827889 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 295 0.584892202176 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 296 0.585051761322 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 297 0.586015232254 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 298 0.586015597979 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 299 0.586015618477 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 300 0.586015921431 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 301 0.586019086073 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 302 0.586019094591 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 303 0.586019264900 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 304 0.586019294083 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 305 0.586019301410 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 306 0.586019334774 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 307 0.586019376439 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 308 0.586019452027 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 309 0.586031719097 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 310 0.586042174409 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 311 0.586042196137 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 312 0.586045967936 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 313 0.586045979773 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 315 0.586047842011 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 316 0.586069473529 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 317 0.586087492508 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 318 0.586089716610 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 319 0.586090913838 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 320 0.586127751646 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 321 0.586137681788 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 324 0.586181180100 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 332 0.586201033835 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
Minimal polynomial listed in plain text data
8 333 0.587954740534 Henry Cohn, 2026, needs more optimization.
8 334 0.592919304433 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 335 0.594625632971 Henry Cohn, 2026, needs more optimization.
8 336 0.596194807823 Pavlos Moros, 2026.
8 337 0.597331526462 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 338 0.597338460895 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 339 0.598768494410 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 340 0.598793046043 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 341 0.598793068072 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 342 0.599119821012 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 343 0.599120284900 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 344 0.599120404213 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 345 0.599988153316 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 346 0.601447156670 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 347 0.602747717899 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 349 0.603686057579 Robert Dallara, 2026.
8 350 0.604131106009 Henry Cohn, 2026, needs more optimization.
8 351 0.604148600280 Pavlos Moros, 2026.
8 352 0.604200790112 Henry Cohn, 2026, needs more optimization.
8 353 0.604308662385 Henry Cohn, 2026, needs more optimization.
8 354 0.604440457777 Henry Cohn, 2026, needs more optimization.
8 355 0.604681667495 Henry Cohn, 2026, needs more optimization.
8 356 0.605395725116 Pavlos Moros, 2026.
8 357 0.605408250207 Pavlos Moros, 2026.
8 358 0.605460066438 Pavlos Moros, 2026.
8 359 0.606908297129 Henry Cohn, 2026, needs more optimization.
8 360 0.606971305341 Henry Cohn, 2026, needs more optimization.
8 361 0.608801303382 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 362 0.609113657706 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 363 0.609412057740 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 364 0.609623239851 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 365 0.609798003561 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 366 0.610155653715 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 367 0.610610770746 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 368 0.611122956334 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 369 0.612259743193 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 370 0.612328893737 Pavlos Moros, 2026.
8 371 0.613931619211 Henry Cohn, 2026, needs more optimization.
8 372 0.614374113091 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 373 0.614541227139 Pavlos Moros, 2026.
8 374 0.615187087341 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 375 0.616592123301 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 376 0.616762070471 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 377 0.617574070814 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 378 0.617978260065 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 379 0.618230442382 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 380 0.618253881874 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 381 0.618738576218 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 382 0.619301816486 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 383 0.619581794759 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 384 0.619950643740 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 385 0.620517487163 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 386 0.621043610473 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 387 0.621566781504 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 388 0.621941117548 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 389 0.622556489303 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 390 0.623039029212 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 391 0.623479672770 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 392 0.623875647428 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 393 0.624243896766 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 394 0.624575880423 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 395 0.625006363927 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 396 0.625351446106 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 397 0.625801143637 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 398 0.626129861602 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 399 0.626442105756 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 400 0.626774641079 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 401 0.627398377757 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 402 0.627706713568 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 403 0.628045675640 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 404 0.628551963764 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 405 0.628797988295 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 406 0.629274498338 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 407 0.629593936904 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 408 0.629935510796 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 409 0.630332158803 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 410 0.630479149133 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 411 0.630933279820 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 412 0.631156129819 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 413 0.631252380871 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 414 0.631688452254 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 415 0.631727415918 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 416 0.632726246885 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 417 0.633062830705 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 418 0.633229991371 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 419 0.633616689311 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 420 0.633693629569 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 421 0.634164851401 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 422 0.634379548471 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 423 0.634429264931 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 424 0.634679041660 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 425 0.634716571345 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 426 0.634981455585 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 427 0.635124524096 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 428 0.635155940773 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 429 0.635250564616 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 430 0.636854276308 Henry Cohn, 2026, needs more optimization.
8 431 0.637177041888 Henry Cohn, 2026, needs more optimization.
8 432 0.637253562286 Henry Cohn, 2026, needs more optimization.
8 433 0.637675212098 Henry Cohn, 2026, needs more optimization.
8 434 0.637831397701 Henry Cohn, 2026, needs more optimization.
8 435 0.637895753090 Henry Cohn, 2026, needs more optimization.
8 436 0.638123963032 Henry Cohn, 2026, needs more optimization.
8 437 0.638687207417 Henry Cohn, 2026, needs more optimization.
8 438 0.639133392093 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 439 0.639339512637 Pavlos Moros, 2026.
8 440 0.639380547354 Pavlos Moros, 2026.
8 441 0.639456713310 Pavlos Moros, 2026.
8 442 0.639462297777 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 443 0.639929114826 Henry Cohn, 2026, needs more optimization.
8 444 0.640077407623 Henry Cohn, 2026, needs more optimization.
8 445 0.640092016945 Henry Cohn, 2026, needs more optimization.
8 446 0.640092062159 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 447 0.640746550274 Pavlos Moros, 2026.
8 448 0.640837155798 Pavlos Moros, 2026.
8 449 0.640875874492 Pavlos Moros, 2026.
8 450 0.640943953394 Pavlos Moros, 2026.
8 451 0.641051914941 Pavlos Moros, 2026.
8 452 0.641125377576 Pavlos Moros, 2026.
8 453 0.641170534208 Pavlos Moros, 2026.
8 454 0.641238752833 Pavlos Moros, 2026.
8 455 0.641523406587 Henry Cohn, 2026, needs more optimization.
8 456 0.641670204395 Henry Cohn, 2026, needs more optimization.
8 457 0.641706456803 Henry Cohn, 2026, needs more optimization.
8 458 0.641739483243 Henry Cohn, 2026, needs more optimization.
8 459 0.641867809830 Henry Cohn, 2026, needs more optimization.
8 460 0.641913063087 Henry Cohn, 2026, needs more optimization.
8 461 0.641965695981 Henry Cohn, 2026, needs more optimization.
8 462 0.642059454993 Henry Cohn, 2026, needs more optimization.
8 463 0.642260653799 Henry Cohn, 2026, needs more optimization.
8 464 0.642306012051 Henry Cohn, 2026, needs more optimization.
8 465 0.642342617608 Henry Cohn, 2026, needs more optimization.
8 466 0.642538668828 Henry Cohn, 2026, needs more optimization.
8 467 0.642685589981 Henry Cohn, 2026, needs more optimization.
8 468 0.642925397221 Henry Cohn, 2026, needs more optimization.
8 469 0.643118880247 Henry Cohn, 2026, needs more optimization.
8 470 0.643283056956 Henry Cohn, 2026, needs more optimization.
8 471 0.643437148885 Henry Cohn, 2026, needs more optimization.
8 472 0.643634425081 Henry Cohn, 2026, needs more optimization.
8 473 0.643808928461 Henry Cohn, 2026, needs more optimization.
8 474 0.643832467478 Henry Cohn, 2026, needs more optimization.
8 475 0.644048101777 Henry Cohn, 2026, needs more optimization.
8 477 0.644188766287 Robert Dallara, 2026.
8 478 0.644640988870 Henry Cohn, 2026, needs more optimization.
8 479 0.644770137164 Henry Cohn, 2026, needs more optimization.
8 480 0.645221320891 Henry Cohn, 2026, needs more optimization.
8 481 0.645331615866 Henry Cohn, 2026, needs more optimization.
8 482 0.645543878199 Henry Cohn, 2026, needs more optimization.
8 483 0.645623836872 Henry Cohn, 2026, needs more optimization.
8 484 0.646153653325 Henry Cohn, 2026, needs more optimization.
8 485 0.646265513086 Henry Cohn, 2026, needs more optimization.
8 487 0.646727921717 Robert Dallara, 2026.
8 489 0.647083682251 Robert Dallara, 2026.
8 490 0.647720497954 Henry Cohn, 2026, needs more optimization.
8 491 0.647997361639 Henry Cohn, 2026, needs more optimization.
8 492 0.648388348046 Henry Cohn, 2026, needs more optimization.
8 493 0.648765092140 Henry Cohn, 2026, needs more optimization.
8 494 0.648971976073 Henry Cohn, 2026, needs more optimization.
8 495 0.648986508629 Henry Cohn, 2026, needs more optimization.
8 496 0.649025076459 Henry Cohn, 2026, needs more optimization.
8 497 0.649037991720 Henry Cohn, 2026, needs more optimization.
8 498 0.649062796968 Henry Cohn, 2026, needs more optimization.
8 499 0.649366973270 Henry Cohn, 2026, needs more optimization.
8 500 0.649396750352 Henry Cohn, 2026, needs more optimization.
8 501 0.649398797989 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 502 0.649818903354 Henry Cohn, 2026, needs more optimization.
8 503 0.650146825857 Henry Cohn, 2026, needs more optimization.
8 504 0.650329415796 Henry Cohn, 2026, needs more optimization.
8 505 0.650400041841 Henry Cohn, 2026, needs more optimization.
8 506 0.650886544995 Henry Cohn, 2026, needs more optimization.
8 507 0.650908285433 Henry Cohn, 2026, needs more optimization.
8 508 0.650923396065 Henry Cohn, 2026, needs more optimization.
8 509 0.650937682926 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 511 0.651579178191 Pavlos Moros, 2026.
8 512 0.651667898368 Pavlos Moros, 2026.
8 513 0.651679258341 Henry Cohn, 2026, needs more optimization.
8 514 0.651986205732 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 515 0.652417386296 Henry Cohn, 2026, needs more optimization.
8 517 0.652557914923 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 518 0.652842202439 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 519 0.653023813845 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 520 0.653342613377 Henry Cohn, 2026, needs more optimization.
8 521 0.653352587831 Henry Cohn, 2026, needs more optimization.
8 522 0.653354781955 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 523 0.653765124151 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 524 0.653942974234 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 525 0.654392958663 Henry Cohn, 2026, needs more optimization.
8 526 0.654403207974 Robert Dallara, 2026.
8 527 0.654610621205 Henry Cohn, 2026, needs more optimization.
8 528 0.654701082786 Henry Cohn, 2026, needs more optimization.
8 529 0.655015882466 Henry Cohn, 2026, needs more optimization.
8 530 0.655233744888 Henry Cohn, 2026, needs more optimization.
8 531 0.655714073533 Henry Cohn, 2026, needs more optimization.
8 532 0.655790893624 Henry Cohn, 2026, needs more optimization.
8 533 0.655990639258 Henry Cohn, 2026, needs more optimization.
8 534 0.656154687063 Henry Cohn, 2026, needs more optimization.
8 535 0.656435278272 Henry Cohn, 2026, needs more optimization.
8 536 0.656701576376 Henry Cohn, 2026, needs more optimization.
8 537 0.657015781895 Henry Cohn, 2026, needs more optimization.
8 538 0.657332227431 Henry Cohn, 2026, needs more optimization.
8 539 0.657506012434 Henry Cohn, 2026, needs more optimization.
8 540 0.657684960543 Henry Cohn, 2026, needs more optimization.
8 541 0.657784678058 Henry Cohn, 2026, needs more optimization.
8 542 0.658020235154 Henry Cohn, 2026, needs more optimization.
8 543 0.658309448931 Henry Cohn, 2026, needs more optimization.
8 544 0.658635163514 Henry Cohn, 2026, needs more optimization.
8 545 0.658859591810 Henry Cohn, 2026, needs more optimization.
8 546 0.659010820001 Henry Cohn, 2026, needs more optimization.
8 547 0.659327440341 Henry Cohn, 2026, needs more optimization.
8 548 0.659529842289 Henry Cohn, 2026, needs more optimization.
8 549 0.659609993989 Henry Cohn, 2026, needs more optimization.
8 550 0.659624504051 Henry Cohn, 2026, needs more optimization.
8 551 0.659962365185 Henry Cohn, 2026, needs more optimization.
8 552 0.660487227154 Henry Cohn, 2026, needs more optimization.
8 553 0.660618455158 Henry Cohn, 2026, needs more optimization.
8 554 0.660756576798 Henry Cohn, 2026, needs more optimization.
8 555 0.660856491782 Henry Cohn, 2026, needs more optimization.
8 556 0.661108519850 Henry Cohn, 2026, needs more optimization.
8 557 0.661254451904 Henry Cohn, 2026, needs more optimization.
8 558 0.661399357262 Henry Cohn, 2026, needs more optimization.
8 559 0.661739081510 Henry Cohn, 2026, needs more optimization.
8 560 0.661902271353 Henry Cohn, 2026, needs more optimization.
8 561 0.662017389788 Henry Cohn, 2026, needs more optimization.
8 562 0.662286974436 Henry Cohn, 2026, needs more optimization.
8 563 0.662425440201 Henry Cohn, 2026, needs more optimization.
8 564 0.662575191181 Henry Cohn, 2026, needs more optimization.
8 565 0.662673828311 Henry Cohn, 2026, needs more optimization.
8 566 0.662747749853 Henry Cohn, 2026, needs more optimization.
8 567 0.662781432072 Henry Cohn, 2026, needs more optimization.
8 568 0.662910172969 Henry Cohn, 2026, needs more optimization.
8 569 0.663082096032 Henry Cohn, 2026, needs more optimization.
8 570 0.663125176540 Henry Cohn, 2026, needs more optimization.
8 571 0.663284672074 Henry Cohn, 2026, needs more optimization.
8 572 0.663462603286 Henry Cohn, 2026, needs more optimization.
8 573 0.663508438540 Henry Cohn, 2026, needs more optimization.
8 574 0.663793100369 Henry Cohn, 2026, needs more optimization.
8 575 0.663927917607 Henry Cohn, 2026, needs more optimization.
8 576 0.663995408364 Henry Cohn, 2026, needs more optimization.
8 577 0.664084159495 Henry Cohn, 2026, needs more optimization.
8 578 0.664189020375 Henry Cohn, 2026, needs more optimization.
8 579 0.664343236308 Henry Cohn, 2026, needs more optimization.
8 580 0.664396684079 Henry Cohn, 2026, needs more optimization.
8 581 0.664511561544 Henry Cohn, 2026, needs more optimization.
8 582 0.664532757835 Henry Cohn, 2026, needs more optimization.
8 583 0.664738782127 Henry Cohn, 2026, needs more optimization.
8 584 0.664744778486 Henry Cohn, 2026, needs more optimization.
8 585 0.664753727998 Henry Cohn, 2026, needs more optimization.
8 586 0.664856893270 Henry Cohn, 2026, needs more optimization.
8 587 0.664936769110 Henry Cohn, 2026, needs more optimization.
8 588 0.665024378903 Henry Cohn, 2026, needs more optimization.
8 589 0.665198362066 Henry Cohn, 2026, needs more optimization.
8 590 0.665218891998 Henry Cohn, 2026, needs more optimization.
8 591 0.665219778910 Henry Cohn, 2026, needs more optimization.
8 592 0.665235709924 Henry Cohn, 2026, needs more optimization.
8 593 0.665249475400 Henry Cohn, 2026, needs more optimization.
8 594 0.665269252198 Henry Cohn, 2026, needs more optimization.
8 595 0.665272932915 Henry Cohn, 2026, needs more optimization.
8 596 0.665279539864 Henry Cohn, 2026, needs more optimization.
8 597 0.665287252990 Henry Cohn, 2026, needs more optimization.
8 598 0.665313648907 Henry Cohn, 2026, needs more optimization.
8 599 0.665325284534 Henry Cohn, 2026, needs more optimization.
8 600 0.665349011060 Henry Cohn, 2026, needs more optimization.
8 601 0.665353778125 Henry Cohn, 2026, needs more optimization.
8 602 0.665372764015 Henry Cohn, 2026, needs more optimization.
8 603 0.665419234746 Henry Cohn, 2026, needs more optimization.
8 604 0.665420254737 Henry Cohn, 2026, needs more optimization.
8 605 0.665441207596 Henry Cohn, 2026, needs more optimization.
8 606 0.665456928266 Robert Dallara, 2026.
8 607 0.665529022366 Henry Cohn, 2026, needs more optimization.
8 608 0.665570873427 Henry Cohn, 2026, needs more optimization.
8 609 0.665605965901 Henry Cohn, 2026, needs more optimization.
8 610 0.665623285796 Henry Cohn, 2026, needs more optimization.
8 611 0.665634161088 Henry Cohn, 2026, needs more optimization.
8 612 0.665653989644 Henry Cohn, 2026, needs more optimization.
8 613 0.665659073150 Henry Cohn, 2026, needs more optimization.
8 614 0.665664611092 Henry Cohn, 2026, needs more optimization.
8 615 0.665716895859 Henry Cohn, 2026, needs more optimization.
8 616 0.665719339810 Henry Cohn, 2026, needs more optimization.
8 617 0.665728215147 Henry Cohn, 2026, needs more optimization.
8 618 0.665749433251 Henry Cohn, 2026, needs more optimization.
8 619 0.665884291295 Henry Cohn, 2026, needs more optimization.
8 620 0.665944640298 Henry Cohn, 2026, needs more optimization.
8 621 0.665986341288 Henry Cohn, 2026, needs more optimization.
8 622 0.665996902726 Henry Cohn, 2026, needs more optimization.
8 623 0.666016964589 Henry Cohn, 2026, needs more optimization.
8 624 0.666020919016 Henry Cohn, 2026, needs more optimization.
8 625 0.666039456751 Henry Cohn, 2026, needs more optimization.
8 626 0.666043191217 Henry Cohn, 2026, needs more optimization.
8 627 0.666051007335 Henry Cohn, 2026, needs more optimization.
8 628 0.666060528146 Henry Cohn, 2026, needs more optimization.
8 629 0.666066723943 Henry Cohn, 2026, needs more optimization.
8 630 0.666077534955 Henry Cohn, 2026, needs more optimization.
8 631 0.666080856094 Henry Cohn, 2026, needs more optimization.
8 632 0.666086495946 Henry Cohn, 2026, needs more optimization.
8 633 0.666093336780 Henry Cohn, 2026, needs more optimization.
8 634 0.666098655594 Henry Cohn, 2026, needs more optimization.
8 643 0.666130088335 Robert Dallara, 2026.
8 644 0.666327692239 Henry Cohn, 2026, needs more optimization.
8 645 0.666335940306 Henry Cohn, 2026, needs more optimization.
8 646 0.666346157078 Henry Cohn, 2026, needs more optimization.
8 647 0.666352604269 Henry Cohn, 2026, needs more optimization.
8 648 0.666359368714 Henry Cohn, 2026, needs more optimization.
8 649 0.666464880781 Henry Cohn, 2026, needs more optimization.
8 650 0.666472831141 Henry Cohn, 2026, needs more optimization.
8 651 0.666476671495 Henry Cohn, 2026, needs more optimization.
8 652 0.666488303552 Henry Cohn, 2026, needs more optimization.
8 653 0.666490874458 Henry Cohn, 2026, needs more optimization.
8 654 0.666493241385 Henry Cohn, 2026, needs more optimization.
8 655 0.666587852693 Henry Cohn, 2026, needs more optimization.
8 656 0.666588241589 Henry Cohn, 2026, needs more optimization.
8 657 0.666589082363 Henry Cohn, 2026, needs more optimization.
8 658 0.666589788530 Henry Cohn, 2026, needs more optimization.
8 659 0.666593475465 Henry Cohn, 2026, needs more optimization.
8 660 0.666731593139 Henry Cohn, 2026, needs more optimization.
8 661 0.667056917809 Henry Cohn, 2026, needs more optimization.
8 662 0.667266599864 Henry Cohn, 2026, needs more optimization.
8 663 0.668188697008 Henry Cohn, 2026, needs more optimization.
8 664 0.668386861926 Henry Cohn, 2026, needs more optimization.
8 665 0.668390894817 Henry Cohn, 2026, needs more optimization.
8 666 0.668684529643 Henry Cohn, 2026, needs more optimization.
8 667 0.668688518324 Henry Cohn, 2026, needs more optimization.
8 668 0.668755834514 Henry Cohn, 2026, needs more optimization.
8 669 0.668759165715 Henry Cohn, 2026, needs more optimization.
8 670 0.669179910983 Henry Cohn, 2026, needs more optimization.
8 671 0.669707328373 Henry Cohn, 2026, needs more optimization.
8 672 0.669883106439 Henry Cohn, 2026, needs more optimization.
8 673 0.670144840919 Henry Cohn, 2026, needs more optimization.
8 674 0.670495536885 Henry Cohn, 2026, needs more optimization.
8 675 0.670784211304 Henry Cohn, 2026, needs more optimization.
8 676 0.671134696874 Henry Cohn, 2026, needs more optimization.
8 677 0.671547542790 Henry Cohn, 2026, needs more optimization.
8 678 0.671993713277 Henry Cohn, 2026, needs more optimization.
8 679 0.673147064908 Henry Cohn, 2026, needs more optimization.
8 680 0.673409109513 Henry Cohn, 2026, needs more optimization.
8 681 0.673440546325 Henry Cohn, 2026, needs more optimization.
8 682 0.673479098488 Henry Cohn, 2026, needs more optimization.
8 683 0.673482580107 Henry Cohn, 2026, needs more optimization.
8 684 0.673537405874 Henry Cohn, 2026, needs more optimization.
8 685 0.674072095775 Henry Cohn, 2026, needs more optimization.
8 686 0.674211882521 Pavlos Moros, 2026.
8 687 0.674549650974 Henry Cohn, 2026, needs more optimization.
8 688 0.674937751827 Henry Cohn, 2026, needs more optimization.
8 689 0.675169311019 Henry Cohn, 2026, needs more optimization.
8 690 0.675521783777 Henry Cohn, 2026, needs more optimization.
8 691 0.676055660118 Henry Cohn, 2026, needs more optimization.
8 692 0.676435277912 Henry Cohn, 2026, needs more optimization.
8 693 0.676907654724 Henry Cohn, 2026, needs more optimization.
8 694 0.677368527782 Henry Cohn, 2026, needs more optimization.
8 695 0.677449085981 Henry Cohn, 2026, needs more optimization.
8 696 0.677680973127 Henry Cohn, 2026, needs more optimization.
8 697 0.677809439781 Henry Cohn, 2026, needs more optimization.
8 698 0.678216297421 Henry Cohn, 2026, needs more optimization.
8 699 0.678432864718 Henry Cohn, 2026, needs more optimization.
8 700 0.678434728539 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 701 0.678815892496 Henry Cohn, 2026, needs more optimization.
8 702 0.678823804095 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 703 0.679313455048 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 704 0.679805364797 Henry Cohn, 2026, needs more optimization.
8 705 0.679807907969 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 707 0.680366083300 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 708 0.680602276243 Henry Cohn, 2026, needs more optimization.
8 709 0.680917463221 Henry Cohn, 2026, needs more optimization.
8 710 0.681406275859 Henry Cohn, 2026, needs more optimization.
8 711 0.681569225362 Henry Cohn, 2026, needs more optimization.
8 712 0.681660793992 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 713 0.682062282801 Henry Cohn, 2026, needs more optimization.
8 714 0.682308396600 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 716 0.682422146584 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 717 0.682652801499 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 718 0.682923290349 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 719 0.683535510777 Henry Cohn, 2026, needs more optimization.
8 720 0.683856452104 Henry Cohn, 2026, needs more optimization.
8 721 0.683987530223 Henry Cohn, 2026, needs more optimization.
8 722 0.684082110366 Henry Cohn, 2026, needs more optimization.
8 723 0.684265710874 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 725 0.684507090204 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 726 0.685138609926 Henry Cohn, 2026, needs more optimization.
8 727 0.685415889423 Henry Cohn, 2026, needs more optimization.
8 728 0.685493337864 Henry Cohn, 2026, needs more optimization.
8 729 0.685800375706 Henry Cohn, 2026, needs more optimization.
8 730 0.686121973557 Henry Cohn, 2026, needs more optimization.
8 731 0.686237762631 Henry Cohn, 2026, needs more optimization.
8 732 0.686360825165 Henry Cohn, 2026, needs more optimization.
8 734 0.686369495551 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 735 0.686572783975 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 736 0.687497453698 Henry Cohn, 2026, needs more optimization.
8 737 0.687549995680 Henry Cohn, 2026, needs more optimization.
8 738 0.687682942121 Henry Cohn, 2026, needs more optimization.
8 739 0.687766571746 Henry Cohn, 2026, needs more optimization.
8 740 0.687920493189 Henry Cohn, 2026, needs more optimization.
8 741 0.688123194243 Henry Cohn, 2026, needs more optimization.
8 742 0.688248174638 Henry Cohn, 2026, needs more optimization.
8 743 0.688475445215 Henry Cohn, 2026, needs more optimization.
8 744 0.688503159148 Henry Cohn, 2026, needs more optimization.
8 745 0.688695122759 Henry Cohn, 2026, needs more optimization.
8 746 0.688878952183 Henry Cohn, 2026, needs more optimization.
8 747 0.688930420204 Henry Cohn, 2026, needs more optimization.
8 748 0.689150666516 Henry Cohn, 2026, needs more optimization.
8 749 0.689286254251 Henry Cohn, 2026, needs more optimization.
8 750 0.689287714791 Henry Cohn, 2026, needs more optimization.
8 751 0.689459370570 Henry Cohn, 2026, needs more optimization.
8 752 0.689823490991 Henry Cohn, 2026, needs more optimization.
8 753 0.689959027429 Henry Cohn, 2026, needs more optimization.
8 754 0.690099596786 Henry Cohn, 2026, needs more optimization.
8 755 0.690113666220 Henry Cohn, 2026, needs more optimization.
8 756 0.690114030255 Henry Cohn, 2026, needs more optimization.
8 757 0.690116101466 Henry Cohn, 2026, needs more optimization.
8 758 0.690121847376 Henry Cohn, 2026, needs more optimization.
8 759 0.690123242120 Henry Cohn, 2026, needs more optimization.
8 760 0.690134553495 Henry Cohn, 2026, needs more optimization.
8 761 0.690141489111 Henry Cohn, 2026, needs more optimization.
8 762 0.690158065286 Henry Cohn, 2026, needs more optimization.
8 763 0.690166999293 Henry Cohn, 2026, needs more optimization.
8 764 0.690503127510 Henry Cohn, 2026, needs more optimization.
8 765 0.690992289542 Henry Cohn, 2026, needs more optimization.
8 766 0.691020049253 Henry Cohn, 2026, needs more optimization.
8 767 0.691147893063 Henry Cohn, 2026, needs more optimization.
8 768 0.691267076345 Henry Cohn, 2026, needs more optimization.
8 769 0.691300065567 Henry Cohn, 2026, needs more optimization.
8 770 0.691509335545 Henry Cohn, 2026, needs more optimization.
8 772 0.691653604129 Henry Cohn, 2026, needs more optimization.
8 773 0.691665503399 Henry Cohn, 2026, needs more optimization.
8 774 0.691755499725 Henry Cohn, 2026, needs more optimization.
8 775 0.691781861936 Henry Cohn, 2026, needs more optimization.
8 776 0.692233177502 Henry Cohn, 2026, needs more optimization.
8 777 0.692355430511 Henry Cohn, 2026, needs more optimization.
8 778 0.692449416948 Henry Cohn, 2026, needs more optimization.
8 779 0.692454589130 Henry Cohn, 2026, needs more optimization.
8 780 0.692524679233 Henry Cohn, 2026, needs more optimization.
8 781 0.692549738230 Henry Cohn, 2026, needs more optimization.
8 782 0.692592642430 Henry Cohn, 2026, needs more optimization.
8 783 0.692705489110 Henry Cohn, 2026, needs more optimization.
8 784 0.692778402861 Henry Cohn, 2026, needs more optimization.
8 785 0.693257508303 Henry Cohn, 2026, needs more optimization.
8 786 0.693484122008 Henry Cohn, 2026, needs more optimization.
8 787 0.693717362821 Henry Cohn, 2026, needs more optimization.
8 788 0.693764035897 Henry Cohn, 2026, needs more optimization.
8 789 0.694024448678 Henry Cohn, 2026, needs more optimization.
8 790 0.694166057974 Henry Cohn, 2026, needs more optimization.
8 791 0.694175221965 Henry Cohn, 2026, needs more optimization.
8 792 0.694200614720 Henry Cohn, 2026, needs more optimization.
8 798 0.694333269749 Robert Dallara, 2026.
8 799 0.694856662459 Henry Cohn, 2026, needs more optimization.
8 800 0.695059851361 Henry Cohn, 2026, needs more optimization.
8 801 0.695303613734 Henry Cohn, 2026, needs more optimization.
8 802 0.695554919741 Henry Cohn, 2026, needs more optimization.
8 803 0.695615169188 Henry Cohn, 2026, needs more optimization.
8 804 0.695680689254 Robert Dallara, 2026.
8 805 0.696112698738 Henry Cohn, 2026, needs more optimization.
8 806 0.696185199655 Henry Cohn, 2026, needs more optimization.
8 807 0.696223219634 Henry Cohn, 2026, needs more optimization.
8 808 0.696224064336 Henry Cohn, 2026, needs more optimization.
8 809 0.696280554915 Henry Cohn, 2026, needs more optimization.
8 810 0.696282818154 Henry Cohn, 2026, needs more optimization.
8 811 0.696656773117 Henry Cohn, 2026, needs more optimization.
8 812 0.696673830361 Henry Cohn, 2026, needs more optimization.
8 813 0.696811439367 Henry Cohn, 2026, needs more optimization.
8 814 0.697481116489 Henry Cohn, 2026, needs more optimization.
8 815 0.697482645117 Henry Cohn, 2026, needs more optimization.
8 816 0.697522793710 Henry Cohn, 2026, needs more optimization.
8 817 0.697524897462 Henry Cohn, 2026, needs more optimization.
8 818 0.697547578234 Henry Cohn, 2026, needs more optimization.
8 819 0.697582472503 Henry Cohn, 2026, needs more optimization.
8 820 0.697593185529 Henry Cohn, 2026, needs more optimization.
8 821 0.697663192794 Henry Cohn, 2026, needs more optimization.
8 822 0.697872950328 Henry Cohn, 2026, needs more optimization.
8 823 0.697924618027 Henry Cohn, 2026, needs more optimization.
8 824 0.697959545060 Henry Cohn, 2026, needs more optimization.
8 825 0.697969481299 Henry Cohn, 2026, needs more optimization.
8 828 0.698003486014 Robert Dallara, 2026.
8 829 0.698601300306 Henry Cohn, 2026, needs more optimization.
8 830 0.698846956777 Henry Cohn, 2026, needs more optimization.
8 831 0.698851989204 Henry Cohn, 2026, needs more optimization.
8 832 0.698855710576 Henry Cohn, 2026, needs more optimization.
8 834 0.698864361409 Henry Cohn, 2026, needs more optimization.
8 835 0.698865018259 Henry Cohn, 2026, needs more optimization.
8 836 0.699602156632 Henry Cohn, 2026, needs more optimization.
8 837 0.699602624733 Henry Cohn, 2026, needs more optimization.
8 838 0.699611119921 Henry Cohn, 2026, needs more optimization.
8 839 0.699629597362 Henry Cohn, 2026, needs more optimization.
8 840 0.699984847968 Henry Cohn, 2026, needs more optimization.
8 842 0.700469145489 Henry Cohn, 2026, needs more optimization.
8 844 0.700499155690 Henry Cohn, 2026, needs more optimization.
8 846 0.700522204256 Henry Cohn, 2026, needs more optimization.
8 847 0.700533692991 Henry Cohn, 2026, needs more optimization.
8 848 0.700538858957 Henry Cohn, 2026, needs more optimization.
8 850 0.700630822225 Robert Dallara, 2026.
8 851 0.701130921749 Henry Cohn, 2026, needs more optimization.
8 852 0.701213425363 Henry Cohn, 2026, needs more optimization.
8 853 0.701510156144 Henry Cohn, 2026, needs more optimization.
8 854 0.701521715219 Henry Cohn, 2026, needs more optimization.
8 855 0.702066644028 Henry Cohn, 2026, needs more optimization.
8 856 0.702072220516 Henry Cohn, 2026, needs more optimization.
8 857 0.702079720385 Henry Cohn, 2026, needs more optimization.
8 858 0.702083578841 Henry Cohn, 2026, needs more optimization.
8 859 0.702245117601 Henry Cohn, 2026, needs more optimization.
8 861 0.702247288009 Henry Cohn, 2026, needs more optimization.
8 862 0.702295860142 Henry Cohn, 2026, needs more optimization.
8 863 0.702364969138 Henry Cohn, 2026, needs more optimization.
8 864 0.702365537217 Henry Cohn, 2026, needs more optimization.
8 865 0.702384401671 Henry Cohn, 2026, needs more optimization.
8 867 0.702396775179 Henry Cohn, 2026, needs more optimization.
8 868 0.702407700960 Henry Cohn, 2026, needs more optimization.
8 869 0.702428853656 Henry Cohn, 2026, needs more optimization.
8 870 0.702471796003 Henry Cohn, 2026, needs more optimization.
8 871 0.702489646183 Henry Cohn, 2026, needs more optimization.
8 872 0.702494754721 Henry Cohn, 2026, needs more optimization.
8 873 0.702552506939 Henry Cohn, 2026, needs more optimization.
8 874 0.703830325724 Henry Cohn, 2026, needs more optimization.
8 875 0.703832511808 Henry Cohn, 2026, needs more optimization.
8 876 0.703837717320 Henry Cohn, 2026, needs more optimization.
8 877 0.703936810414 Henry Cohn, 2026, needs more optimization.
8 879 0.704335819532 Henry Cohn, 2026, needs more optimization.
8 880 0.704336710772 Henry Cohn, 2026, needs more optimization.
8 881 0.704344065881 Henry Cohn, 2026, needs more optimization.
8 882 0.704360073815 Henry Cohn, 2026, needs more optimization.
8 883 0.704508157774 Henry Cohn, 2026, needs more optimization.
8 884 0.704524145245 Henry Cohn, 2026, needs more optimization.
8 885 0.704529465239 Henry Cohn, 2026, needs more optimization.
8 886 0.704967006883 Henry Cohn, 2026, needs more optimization.
8 887 0.704974947234 Henry Cohn, 2026, needs more optimization.
8 888 0.704975349432 Henry Cohn, 2026, needs more optimization.
8 889 0.705000925721 Henry Cohn, 2026, needs more optimization.
8 890 0.705019042290 Henry Cohn, 2026, needs more optimization.
8 891 0.705379129753 Henry Cohn, 2026, needs more optimization.
8 892 0.705575641954 Henry Cohn, 2026, needs more optimization.
8 893 0.705611252993 Henry Cohn, 2026, needs more optimization.
8 894 0.705628806414 Henry Cohn, 2026, needs more optimization.
8 895 0.705629398634 Henry Cohn, 2026, needs more optimization.
8 896 0.705635045610 Henry Cohn, 2026, needs more optimization.
8 898 0.705645197568 Henry Cohn, 2026, needs more optimization.
8 899 0.705645584392 Henry Cohn, 2026, needs more optimization.
8 900 0.705660997755 Henry Cohn, 2026, needs more optimization.
8 901 0.705677168820 Henry Cohn, 2026, needs more optimization.
8 902 0.705679056012 Henry Cohn, 2026, needs more optimization.
8 903 0.705686068562 Henry Cohn, 2026, needs more optimization.
8 904 0.705719362217 Henry Cohn, 2026, needs more optimization.
8 905 0.705770557291 Henry Cohn, 2026, needs more optimization.
8 906 0.706031649658 Henry Cohn, 2026, needs more optimization.
8 907 0.706398672742 Henry Cohn, 2026, needs more optimization.
8 908 0.706399160413 Henry Cohn, 2026, needs more optimization.
8 909 0.706409442983 Henry Cohn, 2026, needs more optimization.
8 910 0.706410380354 Henry Cohn, 2026, needs more optimization.
8 911 0.706420420153 Henry Cohn, 2026, needs more optimization.
8 912 0.706436462652 Henry Cohn, 2026, needs more optimization.
8 913 0.706456347988 Henry Cohn, 2026, needs more optimization.
8 914 0.706504003526 Henry Cohn, 2026, needs more optimization.
8 915 0.706832741219 Henry Cohn, 2026, needs more optimization.
8 916 0.706855603890 Henry Cohn, 2026, needs more optimization.
8 917 0.706863355061 Henry Cohn, 2026, needs more optimization.
8 922 0.707006553758 Pavlos Moros, 2026.
8 923 0.707522393013 Henry Cohn, 2026, needs more optimization.
8 924 0.707527799381 Henry Cohn, 2026, needs more optimization.
8 925 0.707530223740 Henry Cohn, 2026, needs more optimization.
8 926 0.707565092518 Henry Cohn, 2026, needs more optimization.
8 927 0.707633657473 Henry Cohn, 2026, needs more optimization.
8 928 0.707923600972 Henry Cohn, 2026, needs more optimization.
8 930 0.707936793557 Henry Cohn, 2026, needs more optimization.
8 931 0.707959142936 Henry Cohn, 2026, needs more optimization.
8 932 0.708006679769 Henry Cohn, 2026, needs more optimization.
8 933 0.708010964720 Henry Cohn, 2026, needs more optimization.
8 934 0.708023582065 Henry Cohn, 2026, needs more optimization.
8 935 0.708304065529 Henry Cohn, 2026, needs more optimization.
8 936 0.708304704682 Henry Cohn, 2026, needs more optimization.
8 937 0.708307643750 Henry Cohn, 2026, needs more optimization.
8 938 0.708312066543 Henry Cohn, 2026, needs more optimization.
8 939 0.708865133555 Henry Cohn, 2026, needs more optimization.
8 940 0.708883345042 Henry Cohn, 2026, needs more optimization.
8 942 0.708889999037 Henry Cohn, 2026, needs more optimization.
8 943 0.708945763852 Henry Cohn, 2026, needs more optimization.
8 944 0.708963200904 Henry Cohn, 2026, needs more optimization.
8 945 0.709111586820 Henry Cohn, 2026, needs more optimization.
8 947 0.709111888551 Henry Cohn, 2026, needs more optimization.
8 949 0.709465140914 Robert Dallara, 2026.
8 950 0.709500876377 Henry Cohn, 2026, needs more optimization.
8 951 0.709501424435 Henry Cohn, 2026, needs more optimization.
8 952 0.709504872878 Henry Cohn, 2026, needs more optimization.
8 953 0.709508786795 Henry Cohn, 2026, needs more optimization.
8 954 0.709512837866 Henry Cohn, 2026, needs more optimization.
8 958 0.709858111046 Robert Dallara, 2026.
8 960 0.710146042346 Henry Cohn, 2026, needs more optimization.
8 961 0.710157930220 Henry Cohn, 2026, needs more optimization.
8 962 0.710627571590 Henry Cohn, 2026, needs more optimization.
8 963 0.710647691997 Henry Cohn, 2026, needs more optimization.
8 965 0.710725954726 Henry Cohn, 2026, needs more optimization.
8 966 0.710729906813 Henry Cohn, 2026, needs more optimization.
8 968 0.710755509211 Henry Cohn, 2026, needs more optimization.
8 969 0.710774926173 Henry Cohn, 2026, needs more optimization.
8 970 0.710846081614 Henry Cohn, 2026, needs more optimization.
8 971 0.710974384152 Henry Cohn, 2026, needs more optimization.
8 972 0.711409955898 Henry Cohn, 2026, needs more optimization.
8 973 0.711409955927 Henry Cohn, 2026, needs more optimization.
8 974 0.711446830421 Henry Cohn, 2026, needs more optimization.
8 977 0.711455438115 Henry Cohn, 2026, needs more optimization.
8 978 0.711466313176 Henry Cohn, 2026, needs more optimization.
8 979 0.711867420175 Henry Cohn, 2026, needs more optimization.
8 980 0.711880347715 Henry Cohn, 2026, needs more optimization.
8 981 0.711912081307 Henry Cohn, 2026, needs more optimization.
8 982 0.711935360230 Henry Cohn, 2026, needs more optimization.
8 983 0.711964499249 Henry Cohn, 2026, needs more optimization.
8 984 0.711972555117 Henry Cohn, 2026, needs more optimization.
8 985 0.712235518993 Henry Cohn, 2026, needs more optimization.
8 986 0.712283955777 Henry Cohn, 2026, needs more optimization.
8 987 0.712301094512 Henry Cohn, 2026, needs more optimization.
8 988 0.712314081698 Henry Cohn, 2026, needs more optimization.
8 989 0.712552337964 Henry Cohn, 2026, needs more optimization.
8 992 0.712932015019 Henry Cohn, 2026, needs more optimization.
8 994 0.712954848377 Henry Cohn, 2026, needs more optimization.
8 995 0.712955555778 Henry Cohn, 2026, needs more optimization.
8 996 0.712959582318 Henry Cohn, 2026, needs more optimization.
8 997 0.713011918359 Henry Cohn, 2026, needs more optimization.
8 998 0.713043104674 Henry Cohn, 2026, needs more optimization.
8 999 0.713095829311 Henry Cohn, 2026, needs more optimization.
8 1000 0.713098298075 Henry Cohn, 2026, needs more optimization.
8 1001 0.713158541566 Henry Cohn, 2026, needs more optimization.
8 1002 0.713215059049 Henry Cohn, 2026, needs more optimization.
8 1003 0.713234616983 Henry Cohn, 2026, needs more optimization.
8 1004 0.713269667606 Henry Cohn, 2026, needs more optimization.
8 1005 0.713353167999 Henry Cohn, 2026, needs more optimization.
8 1006 0.713358700574 Henry Cohn, 2026, needs more optimization.
8 1007 0.713454845735 Henry Cohn, 2026, needs more optimization.
8 1008 0.713525494660 Henry Cohn, 2026, needs more optimization.
8 1010 0.713578512502 Henry Cohn, 2026, needs more optimization.
8 1011 0.713623010931 Henry Cohn, 2026, needs more optimization.
8 1012 0.713662391171 Henry Cohn, 2026, needs more optimization.
8 1013 0.713675493624 Henry Cohn, 2026, needs more optimization.
8 1014 0.713688821189 Henry Cohn, 2026, needs more optimization.
8 1015 0.713700924286 Henry Cohn, 2026, needs more optimization.
8 1016 0.713730811096 Henry Cohn, 2026, needs more optimization.
8 1017 0.713764892793 Henry Cohn, 2026, needs more optimization.
8 1018 0.713801816017 Henry Cohn, 2026, needs more optimization.
8 1019 0.713815272054 Henry Cohn, 2026, needs more optimization.
8 1020 0.713820556048 Henry Cohn, 2026, needs more optimization.
8 1021 0.713861582312 Henry Cohn, 2026, needs more optimization.
8 1022 0.713870755769 Henry Cohn, 2026, needs more optimization.
8 1023 0.713876441043 Henry Cohn, 2026, needs more optimization.
8 1024 0.713972573114 Henry Cohn, 2026, needs more optimization.
9 19 0.079067151218 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
441⁢x3−81⁢x2−9⁢x+1
9 20 0.087067958322 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
63⁢x2+6⁢x−1
9 21 0.087067958322 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
63⁢x2+6⁢x−1
9 22 0.109015375240 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
662⁢x4+23⁢x3−67⁢x2−3⁢x+1
9 23 0.114272369686 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
Minimal polynomial listed in plain text data
9 24 0.127138702332 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
9 25 0.135451570712 H. Cohn, Small spherical and projective codes, data set, updated 2023, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
9 26 0.146662063556 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
9 27 0.149913487586 H. Cohn, Small spherical and projective codes, data set, updated 2025, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
9 28 0.150185176423 H. Cohn, Small spherical and projective codes, data set, updated 2024, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
9 29 0.150221104823 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
31⁢x2+2⁢x−1
9 30 0.150221104823 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
31⁢x2+2⁢x−1
9 31 0.150221104823 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
31⁢x2+2⁢x−1
9 32 0.150221104823 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
31⁢x2+2⁢x−1
9 33 0.180525091271 Henry Cohn, 2023.
9 34 0.183408724272 Henry Cohn, 2023.
9 35 0.195176120873 Henry Cohn, 2024.
9 36 0.199856614456 Valentin Khrulkov, 2026, using the program of A. Kravatsky, V. Khrulkov, and I. Oseledets, ImprovEvolve: basin-hopping meets LLM-guided evolutionary search, ICML 2026 AI4Math Workshop Poster, https://openreview.net/forum?id=nE1q0gRDNr, arXiv:2602.10233.
9 37 0.213781170696 Henry Cohn, 2025.
9 38 0.216954638443 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
Minimal polynomial listed in plain text data
9 39 0.222837046412 Henry Cohn, 2023.
9 40 0.225659998291 Henry Cohn, 2025.
9 42 0.226907255686 Henry Cohn, 2025.
190336⁢x6+377632⁢x5−322153⁢x4−82188⁢x3+48762⁢x2−972⁢x−729
9 43 0.231201190091 Henry Cohn, 2023.
9 44 0.233554527157 Henry Cohn, 2025.
Minimal polynomial listed in plain text data
9 45 0.238126842799 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 47 0.238172399483 Henry Cohn, 2023.
335⁢x2−42⁢x−9
9 48 0.254741665820 Henry Cohn, 2025.
9 50 0.256477368938 Henry Cohn, 2026.
23⁢x2−2⁢x−1
9 51 0.266033138128 Henry Cohn, 2026.
9 52 0.267191024627 Henry Cohn, 2023.
71⁢x2−4⁢x−4
9 53 0.269834758170 Henry Cohn, 2023.
Minimal polynomial listed in plain text data
9 54 0.271671378177 Henry Cohn, 2025.
9 56 0.272133267170 Henry Cohn, 2025.
Minimal polynomial listed in plain text data
9 57 0.282916244589 Henry Cohn, 2026.
9 58 0.288070633971 Henry Cohn, 2026.
9 59 0.293417195891 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 60 0.294882506582 Henry Cohn, 2026.
9 61 0.297699008547 Henry Cohn, 2026.
9 62 0.299403415604 Henry Cohn, 2026.
9 63 0.302685227391 Henry Cohn, 2025.
9 64 0.306653313780 Henry Cohn, 2023.
9 65 0.310452472771 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 66 0.312985380433 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 67 0.317743893678 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 68 0.320455129188 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 69 0.323069726165 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 70 0.327165573837 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 71 0.328557229113 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 75 0.328681603186 Luke Granto, 2026.
9 76 0.329081744755 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 77 0.329568177750 Henry Cohn, 2026.
9 78 0.330101895521 Henry Cohn, 2025.
9 79 0.330918543665 Henry Cohn, 2024.
9 80 0.332702480388 Henry Cohn, 2026, needs more optimization.
9 96 0.333333333334 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
3⁢x−1
9 97 0.370544871674 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 98 0.372095090703 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 101 0.375074698542 Henry Cohn, 2025.
3191⁢x4+68⁢x3−350⁢x2−44⁢x−1
9 102 0.378388662601 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 103 0.378848187681 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 104 0.378871017908 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 105 0.391186576796 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 106 0.394927888776 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 107 0.397603950591 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 108 0.398987158188 Henry Cohn, 2026, needs more optimization.
9 109 0.401754598812 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 110 0.404779227936 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 111 0.405584207795 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 112 0.407568931890 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 113 0.410168242726 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 114 0.410941379532 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 115 0.411000665544 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 116 0.411486873334 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 117 0.411611608244 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 118 0.412636571764 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 119 0.413789580597 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 120 0.415205142822 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 121 0.416665732025 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 122 0.417512612802 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 123 0.418356132922 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 124 0.419394362646 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 126 0.419821271705 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11⁢x2−7⁢x+1
9 127 0.419965080683 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 128 0.421421412796 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 129 0.422312266938 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 130 0.422315460779 Henry Cohn, 2026.
9 131 0.422454839369 Henry Cohn, 2026, needs more optimization.
9 132 0.425863091407 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 133 0.426758334708 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 134 0.427514427929 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 135 0.428457405987 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 146 0.428571428572 M. Ganzhinov and P. R. J. Östergård, Spherical codes with prescribed signed permutation automorphisms inside shells of low-dimensional integer lattices, IEEE Trans. Inform. Theory 70 (2024), 8669–8674, doi:10.1109/tit.2024.3462593, arXiv:2403.04330.
7⁢x−3
9 147 0.436766252768 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 148 0.439438775626 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 149 0.441272620201 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 166 0.444444444445 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9⁢x−4
9 167 0.453033499359 Henry Cohn, 2026, needs more optimization.
9 168 0.453529054149 Henry Cohn, 2026, needs more optimization.
9 172 0.454545454546 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11⁢x−5
9 173 0.454589124611 Henry Cohn, 2026, needs more optimization.
9 174 0.455060513253 Henry Cohn, 2026, needs more optimization.
9 175 0.459062585317 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 176 0.461188001518 Henry Cohn, 2026, needs more optimization.
9 177 0.461445028075 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 178 0.462004713312 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 179 0.462023565880 Henry Cohn, 2026, needs more optimization.
9 180 0.462377202731 Henry Cohn, 2026, needs more optimization.
9 181 0.462498984569 Henry Cohn, 2026, needs more optimization.
9 182 0.462563660356 Henry Cohn, 2026, needs more optimization.
9 183 0.462573710456 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 184 0.464694263290 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 185 0.467101682559 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 186 0.469750463226 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 187 0.471164412374 Henry Cohn, 2026, needs more optimization.
9 188 0.471569139874 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 189 0.473571646834 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 210 0.475156558223 Henry Cohn, 2026.
103⁢x2−30⁢x−9
9 211 0.478981440226 Henry Cohn, 2026, needs more optimization.
9 212 0.481291612542 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 213 0.483359160229 Henry Cohn, 2026, needs more optimization.
9 214 0.484876764320 Henry Cohn, 2026, needs more optimization.
9 215 0.485402597466 Henry Cohn, 2026, needs more optimization.
9 216 0.485984464647 Henry Cohn, 2026, needs more optimization.
9 217 0.486665751228 Henry Cohn, 2026, needs more optimization.
9 218 0.487654859525 Henry Cohn, 2026, needs more optimization.
9 219 0.490639705222 Robert Dallara, 2026.
9 220 0.492383125495 Henry Cohn, 2026, needs more optimization.
9 221 0.493085572634 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 222 0.495137273523 Henry Cohn, 2026, needs more optimization.
9 223 0.496219354816 Henry Cohn, 2026, needs more optimization.
9 224 0.496609274781 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 225 0.496768186005 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 226 0.497248609751 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 227 0.497329907714 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 228 0.497668059493 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 229 0.497822050259 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 230 0.497884306494 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 231 0.498030322873 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 232 0.498190384169 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 233 0.498493759279 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 234 0.498547983778 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 235 0.498866488005 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 236 0.498935409826 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 237 0.499000324016 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 238 0.499094909724 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 239 0.499157479241 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 240 0.499281280424 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 241 0.499390148971 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 242 0.499477276015 Henry Cohn, 2026, needs more optimization.
9 243 0.499530108333 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 244 0.499588833312 Henry Cohn, 2026, needs more optimization.
9 245 0.499688902150 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 246 0.499742620019 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 247 0.499777637952 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 248 0.499798413234 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 249 0.499826016730 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 250 0.499892509880 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 251 0.499899082992 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 252 0.499901611940 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 253 0.499922723941 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 255 0.499934526076 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 256 0.499938045367 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 257 0.499938213322 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 258 0.499947959597 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 259 0.499970693213 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 260 0.499975558808 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 262 0.499979964742 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 263 0.499982046131 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 265 0.499984234546 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 266 0.499988751859 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 267 0.499990321255 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 268 0.499991646816 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 269 0.499992141918 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 270 0.499992265213 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 271 0.499992413282 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 272 0.499992538484 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 274 0.499994077513 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 275 0.499998619132 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 276 0.499998638848 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 277 0.499999276410 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 278 0.499999999944 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 279 0.499999999945 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 306 0.5 J. Leech and N. J. A. Sloane, Sphere packings and error-correcting codes, Canadian J. Math. 23 (1971), 718–745, doi:10.4153/CJM-1971-081-3; H. Cohn and I. Rajagopal, Variations on five-dimensional sphere packings, preprint, 2024, arXiv:2412.00937.
2⁢x−1
9 307 0.517015262488 Henry Cohn, 2026, needs more optimization.
9 308 0.518883500173 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 309 0.520113189100 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 310 0.520131186110 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 311 0.521061165935 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 312 0.521138622793 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 313 0.521713327924 Henry Cohn, 2026, needs more optimization.
9 314 0.522364306071 Henry Cohn, 2026, needs more optimization.
9 315 0.522936969509 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 330 0.523809523810 Henry Cohn and Ilmari Vahteristo (independently), 2026.
21⁢x−11
9 331 0.528370945601 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 332 0.529992384264 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 333 0.532251422791 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 334 0.534212123154 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 335 0.535442302756 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 336 0.536082447536 Henry Cohn, 2026, needs more optimization.
9 337 0.536109718378 Henry Cohn, 2026, needs more optimization.
9 338 0.536438805661 Henry Cohn, 2026, needs more optimization.
9 339 0.537016207206 Henry Cohn, 2026, needs more optimization.
9 340 0.537574439942 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 341 0.538054821966 Henry Cohn, 2026, needs more optimization.
9 342 0.538505859658 Henry Cohn, 2026, needs more optimization.
9 343 0.538568169262 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 344 0.540149435131 Henry Cohn, 2026, needs more optimization.
9 345 0.540662799656 Henry Cohn, 2026, needs more optimization.
9 346 0.541054330851 Henry Cohn, 2026, needs more optimization.
9 347 0.541586496316 Henry Cohn, 2026, needs more optimization.
9 348 0.541913592853 Robert Dallara, 2026.
9 351 0.542616334149 Robert Dallara, 2026.
9 352 0.543834884443 Henry Cohn, 2026, needs more optimization.
9 353 0.543918445055 Henry Cohn, 2026, needs more optimization.
9 354 0.543985856013 Henry Cohn, 2026, needs more optimization.
9 355 0.544028755483 Henry Cohn, 2026, needs more optimization.
9 356 0.544182069691 Henry Cohn, 2026, needs more optimization.
9 357 0.544336470222 Henry Cohn, 2026, needs more optimization.
9 358 0.544840399108 Henry Cohn, 2026, needs more optimization.
9 359 0.545213763310 Henry Cohn, 2026, needs more optimization.
9 360 0.545235394037 Henry Cohn, 2026, needs more optimization.
9 363 0.546052465453 Robert Dallara, 2026.
9 364 0.546539579071 Henry Cohn, 2026, needs more optimization.
9 482 0.546918160679 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
7⁢x2−2⁢x−1
9 483 0.555131084750 Henry Cohn, 2026, needs more optimization.
9 484 0.556740601171 Henry Cohn, 2026, needs more optimization.
9 485 0.562156178178 Henry Cohn, 2026, needs more optimization.
9 486 0.565393413128 Henry Cohn, 2026, needs more optimization.
9 487 0.568198408548 Henry Cohn, 2026, needs more optimization.
9 488 0.569243533750 Henry Cohn, 2026, needs more optimization.
9 489 0.570780541235 Henry Cohn, 2026, needs more optimization.
9 490 0.572421331422 Henry Cohn, 2026, needs more optimization.
9 491 0.574074459802 Henry Cohn, 2026, needs more optimization.
9 492 0.574927707237 Henry Cohn, 2026, needs more optimization.
9 493 0.576320739355 Henry Cohn, 2026, needs more optimization.
9 494 0.577907950683 Henry Cohn, 2026, needs more optimization.
9 495 0.578745939833 Henry Cohn, 2026, needs more optimization.
9 496 0.580065448211 Henry Cohn, 2026, needs more optimization.
9 497 0.580560991179 Henry Cohn, 2026, needs more optimization.
9 498 0.581666461658 Henry Cohn, 2026, needs more optimization.
9 499 0.582980133978 Henry Cohn, 2026, needs more optimization.
9 500 0.583853928558 Henry Cohn, 2026, needs more optimization.
9 501 0.584636059804 Henry Cohn, 2026, needs more optimization.
9 502 0.585601066825 Henry Cohn, 2026, needs more optimization.
9 503 0.585791710340 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 504 0.585794473247 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 505 0.585809731255 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 506 0.585831045016 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 507 0.585836845057 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 508 0.585846360172 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 509 0.585871704212 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 510 0.585873725647 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 511 0.585879120023 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 512 0.585890273696 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 513 0.585903442309 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 514 0.585910086578 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 515 0.585912707852 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 516 0.585915569474 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 517 0.585915629883 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 518 0.585917737662 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 519 0.585952208146 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 520 0.585952996988 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 521 0.585953783311 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 522 0.585955555903 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 523 0.585956608129 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 524 0.586383836962 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 525 0.586386258875 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 526 0.586386483527 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 527 0.586387419872 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 528 0.586391478800 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 529 0.586396034650 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 530 0.586651287786 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 531 0.587453199052 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 532 0.588378027999 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 533 0.589222336998 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 534 0.590131582725 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 535 0.590393461388 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 536 0.591228542800 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 537 0.593752762902 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 538 0.594982127800 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 539 0.595253712823 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 540 0.595782813425 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 541 0.596344124440 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 542 0.596457244628 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 543 0.597052860380 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 610 0.6 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
5⁢x−3
9 612 0.6 M. Ganzhinov and P. R. J. Östergård, Spherical codes with prescribed signed permutation automorphisms inside shells of low-dimensional integer lattices, IEEE Trans. Inform. Theory 70 (2024), 8669–8674, doi:10.1109/tit.2024.3462593, arXiv:2403.04330.
5⁢x−3
9 613 0.605088326004 Henry Cohn, 2026, needs more optimization.
9 614 0.605557774124 Henry Cohn, 2026, needs more optimization.
9 615 0.606407290506 Henry Cohn, 2026, needs more optimization.
9 616 0.606758829135 Henry Cohn, 2026, needs more optimization.
9 617 0.608242074172 Henry Cohn, 2026, needs more optimization.
9 618 0.608313054857 Henry Cohn, 2026, needs more optimization.
9 619 0.608422370709 Henry Cohn, 2026, needs more optimization.
9 620 0.608753150336 Henry Cohn, 2026, needs more optimization.
9 621 0.609852005655 Henry Cohn, 2026, needs more optimization.
9 622 0.610066249247 Henry Cohn, 2026, needs more optimization.
9 623 0.610881546913 Henry Cohn, 2026, needs more optimization.
9 624 0.611053401047 Henry Cohn, 2026, needs more optimization.
9 625 0.611281486415 Henry Cohn, 2026, needs more optimization.
9 626 0.611382731658 Henry Cohn, 2026, needs more optimization.
9 627 0.611489206906 Robert Dallara, 2026.
9 628 0.611928151181 Henry Cohn, 2026, needs more optimization.
9 630 0.612019968881 Robert Dallara, 2026.
9 631 0.612646799270 Henry Cohn, 2026, needs more optimization.
9 632 0.612768458637 Henry Cohn, 2026, needs more optimization.
9 633 0.613222528369 Henry Cohn, 2026, needs more optimization.
9 634 0.613438835779 Henry Cohn, 2026, needs more optimization.
9 636 0.613695118708 Henry Cohn, 2026, needs more optimization.
9 638 0.613695502437 Robert Dallara, 2026.
9 641 0.614098829485 Robert Dallara, 2026.
9 642 0.615173606860 Henry Cohn, 2026, needs more optimization.
9 643 0.615313060350 Henry Cohn, 2026, needs more optimization.
9 644 0.615434504250 Henry Cohn, 2026, needs more optimization.
9 645 0.615867642056 Henry Cohn, 2026, needs more optimization.
9 646 0.616169970829 Henry Cohn, 2026, needs more optimization.
9 647 0.616321685294 Henry Cohn, 2026, needs more optimization.
9 648 0.616414810913 Henry Cohn, 2026, needs more optimization.
9 649 0.616808512775 Henry Cohn, 2026, needs more optimization.
9 650 0.617246998206 Henry Cohn, 2026, needs more optimization.
9 651 0.617603944571 Henry Cohn, 2026, needs more optimization.
9 722 0.618033988750 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
x2+x−1
9 723 0.624150366656 Henry Cohn, 2026, needs more optimization.
9 724 0.626611722790 Henry Cohn, 2026, needs more optimization.
9 725 0.627588184864 Henry Cohn, 2026, needs more optimization.
9 726 0.628282126320 Henry Cohn, 2026, needs more optimization.
9 727 0.629198494633 Henry Cohn, 2026, needs more optimization.
9 728 0.630349398692 Henry Cohn, 2026, needs more optimization.
9 729 0.630975612200 Henry Cohn, 2026, needs more optimization.
9 730 0.631350937107 Henry Cohn, 2026, needs more optimization.
9 731 0.631754253697 Henry Cohn, 2026, needs more optimization.
9 732 0.631887518199 Henry Cohn, 2026, needs more optimization.
9 733 0.632488476658 Henry Cohn, 2026, needs more optimization.
9 734 0.633053653995 Henry Cohn, 2026, needs more optimization.
9 758 0.634520409448 Robert Dallara, 2026.
9 762 0.634993650305 Robert Dallara, 2026.
9 774 0.637249781084 Robert Dallara, 2026.
9 775 0.641581012855 Henry Cohn, 2026, needs more optimization.
9 776 0.641909847099 Henry Cohn, 2026, needs more optimization.
9 777 0.642928955504 Henry Cohn, 2026, needs more optimization.
9 778 0.642991834395 Henry Cohn, 2026, needs more optimization.
9 779 0.643130274303 Henry Cohn, 2026, needs more optimization.
9 780 0.643200358203 Henry Cohn, 2026, needs more optimization.
9 781 0.643271412806 Henry Cohn, 2026, needs more optimization.
9 782 0.643427269308 Henry Cohn, 2026, needs more optimization.
9 783 0.643504843377 Henry Cohn, 2026, needs more optimization.
9 784 0.643583282140 Henry Cohn, 2026, needs more optimization.
9 785 0.643671913328 Henry Cohn, 2026, needs more optimization.
9 786 0.643759175395 Henry Cohn, 2026, needs more optimization.
9 787 0.643827925974 Henry Cohn, 2026, needs more optimization.
9 788 0.643896202347 Henry Cohn, 2026, needs more optimization.
9 789 0.643962892185 Henry Cohn, 2026, needs more optimization.
9 790 0.644167813003 Henry Cohn, 2026, needs more optimization.
9 791 0.644279215153 Henry Cohn, 2026, needs more optimization.
9 792 0.644334727871 Henry Cohn, 2026, needs more optimization.
9 793 0.644630815103 Henry Cohn, 2026, needs more optimization.
9 794 0.644720802584 Henry Cohn, 2026, needs more optimization.
9 795 0.644799797848 Henry Cohn, 2026, needs more optimization.
9 796 0.644988038975 Henry Cohn, 2026, needs more optimization.
9 797 0.645136405045 Henry Cohn, 2026, needs more optimization.
9 798 0.645248039578 Henry Cohn, 2026, needs more optimization.
9 799 0.645362382125 Henry Cohn, 2026, needs more optimization.
9 800 0.645451962200 Henry Cohn, 2026, needs more optimization.
9 801 0.645546580073 Henry Cohn, 2026, needs more optimization.
9 802 0.645644234796 Henry Cohn, 2026, needs more optimization.
9 803 0.645743892891 Henry Cohn, 2026, needs more optimization.
9 804 0.645828401501 Henry Cohn, 2026, needs more optimization.
9 805 0.645944352676 Henry Cohn, 2026, needs more optimization.
9 806 0.646036328163 Henry Cohn, 2026, needs more optimization.
9 807 0.646146614651 Henry Cohn, 2026, needs more optimization.
9 808 0.646246962320 Henry Cohn, 2026, needs more optimization.
9 809 0.646375181777 Henry Cohn, 2026, needs more optimization.
9 810 0.646486262022 Henry Cohn, 2026, needs more optimization.
9 811 0.646597290973 Henry Cohn, 2026, needs more optimization.
9 812 0.646711356246 Henry Cohn, 2026, needs more optimization.
9 813 0.646841924329 Henry Cohn, 2026, needs more optimization.
9 814 0.646964051211 Henry Cohn, 2026, needs more optimization.
9 815 0.647126251071 Henry Cohn, 2026, needs more optimization.
9 816 0.647240857943 Henry Cohn, 2026, needs more optimization.
9 817 0.648151664887 Henry Cohn, 2026, needs more optimization.
9 818 0.648372828497 Henry Cohn, 2026, needs more optimization.
9 819 0.648633147374 Henry Cohn, 2026, needs more optimization.
9 820 0.649081377399 Pavlos Moros, 2026.
9 821 0.649265938790 Pavlos Moros, 2026.
9 822 0.649273482971 Pavlos Moros, 2026.
9 823 0.649369923689 Pavlos Moros, 2026.
9 824 0.649396167428 Pavlos Moros, 2026.
9 825 0.649415537707 Pavlos Moros, 2026.
9 887 0.649489522981 Robert Dallara, 2026.
9 888 0.658289256359 Henry Cohn, 2026, needs more optimization.
9 889 0.658543147965 Henry Cohn, 2026, needs more optimization.
9 890 0.658779623931 Henry Cohn, 2026, needs more optimization.
9 891 0.659054509933 Henry Cohn, 2026, needs more optimization.
9 892 0.659330658704 Henry Cohn, 2026, needs more optimization.
9 893 0.659699623573 Henry Cohn, 2026, needs more optimization.
9 894 0.660139773676 Henry Cohn, 2026, needs more optimization.
9 895 0.660559889043 Henry Cohn, 2026, needs more optimization.
9 896 0.661185283205 Henry Cohn, 2026, needs more optimization.
9 897 0.661562289808 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 898 0.661568360058 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 899 0.661728563182 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 900 0.661743995751 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 901 0.661974040053 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 902 0.662004358975 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 903 0.662053385472 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 904 0.662183171626 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 905 0.662275543178 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 906 0.662391753063 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 907 0.662402323288 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 908 0.662583967344 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 909 0.662678023302 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 910 0.662793802367 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 911 0.662876070626 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 912 0.662925413517 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 913 0.663068852408 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 914 0.663188307929 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 915 0.663241591472 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 916 0.663369297068 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 917 0.663388419505 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 918 0.663512179338 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 919 0.663660999420 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 962 0.663713900134 Kevin Li, 2026.
23⁢x6−6⁢x5+5⁢x4−4⁢x3−3⁢x2+2⁢x−1
9 1008 0.666666666667 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
3⁢x−2
9 1024 0.666666666667 Subcode of a code of size 1056 from M. Ganzhinov and P. R. J. Östergård, Spherical codes with prescribed signed permutation automorphisms inside shells of low-dimensional integer lattices, IEEE Trans. Inform. Theory 70 (2024), 8669–8674, doi:10.1109/tit.2024.3462593, arXiv:2403.04330.
3⁢x−2
10 21 0.072033139843 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
640⁢x3−100⁢x2−10⁢x+1
10 22 0.083956154719 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
10 23 0.086853938956 H. Cohn, Small spherical and projective codes, data set, updated 2024, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
10 24 0.098710133500 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
613376⁢x8−228096⁢x7+40432⁢x6+16416⁢x5−8016⁢x4−216⁢x3+184⁢x2−1
10 25 0.104476374556 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
10 26 0.104477652124 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
10 27 0.124212414191 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
10 28 0.128238684469 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
92⁢x2−4⁢x−1
10 29 0.130624314467 H. Cohn, Small spherical and projective codes, data set, updated 2026, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
144⁢x4+32⁢x3−4⁢x2−8⁢x+1
10 30 0.138418790027 H. Cohn, Small spherical and projective codes, data set, updated 2024, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
10 31 0.144114939804 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
Minimal polynomial listed in plain text data
10 32 0.146959243017 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
279⁢x4−420⁢x3+102⁢x2−1
10 33 0.150071241046 Henry Cohn, 2025.
10 34 0.150182194868 Henry Cohn, 2026.
10 35 0.157397110567 Henry Cohn, 2025.
10 36 0.164041833761 Henry Cohn, 2023.
10 40 0.166666666667 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
6⁢x−1
10 41 0.176776695297 Henry Cohn, 2023.
32⁢x2−1
10 42 0.196163825125 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 43 0.205622503031 Henry Cohn, 2025.
10 44 0.209171113574 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 45 0.210466062581 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 46 0.210715021825 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 47 0.210852566011 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 50 0.210852996458 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
71⁢x2+4⁢x−4
10 51 0.216689708737 Henry Cohn, 2025.
10 52 0.230823073590 Henry Cohn, 2026.
10 57 0.231237647788 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
36⁢x2−4⁢x−1
10 58 0.25 Henry Cohn, 2024.
4⁢x−1
10 59 0.252499828074 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
40176⁢x6+4320⁢x5−10584⁢x4−168⁢x3+767⁢x2−8⁢x−16
10 60 0.252845078510 Henry Cohn, 2026.
10 61 0.255558009804 Henry Cohn, 2026.
10 62 0.257763357141 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 63 0.257944905339 Henry Cohn, 2025.
Minimal polynomial listed in plain text data
10 64 0.260533298510 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 65 0.264797426966 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 66 0.265168946762 Henry Cohn, 2025.
10 67 0.268064425530 Henry Cohn, 2025.
10 68 0.268886163790 Henry Cohn, 2026.
10 69 0.269687676191 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 70 0.271728058742 Henry Cohn, 2026.
10 71 0.271905044079 Henry Cohn, 2026.
10 72 0.274447908374 Henry Cohn, 2026.
10 73 0.275987133320 Henry Cohn, 2025.
10 74 0.279604372359 Henry Cohn, 2026, needs more optimization.
10 75 0.283455182208 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
10 76 0.284096667917 Henry Cohn, 2025.
10 77 0.284910960402 Henry Cohn, 2025.
10 78 0.289669889853 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 79 0.295238257219 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 80 0.299102325650 Henry Cohn, 2026, needs more optimization.
10 81 0.301745610483 Henry Cohn, 2026.
10 82 0.304366085995 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 83 0.307848155525 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 84 0.310837057662 Henry Cohn, 2026, needs more optimization.
10 85 0.316993130432 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 86 0.317371501781 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 87 0.317758303957 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 88 0.322928074833 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 89 0.323143582443 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 90 0.323515340854 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 91 0.324783040520 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 92 0.325628340435 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 93 0.328299445300 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 95 0.328398383008 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 96 0.329803993465 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 97 0.330219765464 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 98 0.330420458580 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 99 0.330618940334 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 100 0.330883770108 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 101 0.331145415372 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 102 0.331363824782 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 103 0.333089994215 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 104 0.333109323347 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 105 0.333164117878 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 106 0.333185095821 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 107 0.333226936305 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 108 0.333278942047 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 109 0.335242068676 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 110 0.339290566040 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 111 0.342116121270 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 112 0.344747256732 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 113 0.347102526263 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 114 0.348279770876 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 115 0.352502539478 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 116 0.353505255245 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 117 0.358038919387 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 118 0.361453843843 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 119 0.363467862179 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 120 0.364351581372 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 121 0.364797944321 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 122 0.365271206835 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 125 0.365547986900 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
1137312⁢x6−3083304⁢x5+3410228⁢x4−1698606⁢x3+305901⁢x2+22356⁢x−9558
10 126 0.365547986900 Henry Cohn, 2026.
1137312⁢x6−3083304⁢x5+3410228⁢x4−1698606⁢x3+305901⁢x2+22356⁢x−9558
10 127 0.366035053027 Henry Cohn, 2024.
10 128 0.367843283143 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 129 0.370349178401 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 130 0.371141231264 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 131 0.371260106696 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 132 0.371406638620 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 133 0.384759603628 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 134 0.388521611865 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 135 0.389923825120 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 136 0.391831286660 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 137 0.393925651981 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 138 0.396582312027 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 139 0.398440955704 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 140 0.400200696401 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 141 0.401153671981 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 142 0.401755304314 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 147 0.403306528310 Robert Dallara, 2026.
10 148 0.403980035727 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 149 0.404080401541 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 150 0.404149055859 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 151 0.404211214386 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 154 0.404240093514 Robert Dallara, 2026.
10 155 0.404419022296 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 156 0.404442125005 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 157 0.404504736107 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 158 0.404539504388 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 159 0.404562373243 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 160 0.405129282742 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 161 0.405142663336 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 162 0.406004952848 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 163 0.406233929505 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 164 0.407055233108 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 165 0.407391005047 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 166 0.407790976994 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 167 0.410295330456 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 168 0.410359484686 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 169 0.410362321797 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 170 0.410912822209 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 171 0.410926667116 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 172 0.411156170422 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 173 0.411395711997 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 174 0.411482374360 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9216⁢x6−9216⁢x5−9216⁢x4+7296⁢x3−992⁢x2−32⁢x+1
10 175 0.411732471727 Henry Cohn, 2026, needs more optimization.
10 176 0.414247548493 Henry Cohn, 2026, needs more optimization.
10 177 0.418783721270 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 178 0.421695081072 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 179 0.423834056466 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 180 0.424096235870 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 181 0.424429330789 Henry Cohn, 2026, needs more optimization.
10 182 0.424551479296 Henry Cohn, 2026, needs more optimization.
10 183 0.424645816161 Henry Cohn, 2026, needs more optimization.
10 184 0.425182971580 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 185 0.425401461524 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 186 0.425731665804 Henry Cohn, 2026, needs more optimization.
10 187 0.426659806788 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 188 0.427258027790 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 189 0.427707296312 Henry Cohn, 2026, needs more optimization.
10 194 0.428571428572 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
7⁢x−3
10 195 0.438240194592 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 201 0.440613433825 Robert Dallara, 2026.
10 202 0.442319405384 Henry Cohn, 2026, needs more optimization.
10 203 0.442387858796 Henry Cohn, 2026, needs more optimization.
10 204 0.442853209171 Henry Cohn, 2026, needs more optimization.
10 205 0.442857936968 Henry Cohn, 2026, needs more optimization.
10 206 0.442859555844 Henry Cohn, 2026, needs more optimization.
10 212 0.442859607642 Henry Cohn, 2026, needs more optimization.
10 213 0.443527528176 Henry Cohn, 2026, needs more optimization.
10 214 0.446227012533 Henry Cohn, 2026, needs more optimization.
10 215 0.447744206207 Henry Cohn, 2026, needs more optimization.
10 216 0.448051928037 Robert Dallara, 2026.
10 217 0.450533346047 Henry Cohn, 2026, needs more optimization.
10 218 0.451855463448 Henry Cohn, 2026, needs more optimization.
10 219 0.452878601926 Henry Cohn, 2026, needs more optimization.
10 220 0.453156505288 Henry Cohn, 2026, needs more optimization.
10 221 0.453285909073 Henry Cohn, 2026, needs more optimization.
10 222 0.453474165586 Henry Cohn, 2026, needs more optimization.
10 223 0.453636722801 Henry Cohn, 2026, needs more optimization.
10 224 0.454217364857 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 225 0.454267633966 Henry Cohn, 2026, needs more optimization.
10 226 0.454444331313 Henry Cohn, 2026, needs more optimization.
10 227 0.454528906518 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 228 0.454626609905 Henry Cohn, 2026, needs more optimization.
10 229 0.454750685117 Henry Cohn, 2026, needs more optimization.
10 230 0.455108110984 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 231 0.455163524291 Henry Cohn, 2026, needs more optimization.
10 232 0.455173178020 Henry Cohn, 2026, needs more optimization.
10 233 0.455195787425 Henry Cohn, 2026, needs more optimization.
10 240 0.455341801262 Henry Cohn, 2026.
18⁢x2−6⁢x−1
10 241 0.455994987013 Henry Cohn, 2026, needs more optimization.
10 242 0.456042319846 Henry Cohn, 2026, needs more optimization.
10 243 0.456203303851 Henry Cohn, 2026, needs more optimization.
10 244 0.456238335308 Henry Cohn, 2026, needs more optimization.
10 245 0.457630067612 Henry Cohn, 2026, needs more optimization.
10 246 0.458687653192 Henry Cohn, 2026, needs more optimization.
10 247 0.462290797059 Henry Cohn, 2026, needs more optimization.
10 248 0.463975675380 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 249 0.464403795903 Henry Cohn, 2026, needs more optimization.
10 250 0.464749276160 Henry Cohn, 2026, needs more optimization.
10 251 0.465006213513 Henry Cohn, 2026, needs more optimization.
10 252 0.465572336737 Henry Cohn, 2026, needs more optimization.
10 253 0.466502343558 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 254 0.467442421579 Henry Cohn, 2026, needs more optimization.
10 255 0.469047156237 Henry Cohn, 2026, needs more optimization.
10 256 0.470273646770 Henry Cohn, 2026, needs more optimization.
10 257 0.471233513260 Henry Cohn, 2026, needs more optimization.
10 258 0.471930514413 Henry Cohn, 2026, needs more optimization.
10 259 0.472984147585 Henry Cohn, 2026, needs more optimization.
10 260 0.473965161360 Henry Cohn, 2026, needs more optimization.
10 261 0.474796645852 Henry Cohn, 2026, needs more optimization.
10 262 0.475680777093 Henry Cohn, 2026, needs more optimization.
10 263 0.476481257098 Henry Cohn, 2026, needs more optimization.
10 264 0.476574750880 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 265 0.476968956003 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 266 0.477055549353 Henry Cohn, 2026, needs more optimization.
10 267 0.477096190241 Henry Cohn, 2026, needs more optimization.
10 268 0.477441419405 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 269 0.477609300523 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 270 0.478461036703 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 271 0.478514879680 Henry Cohn, 2026, needs more optimization.
10 272 0.478914483787 Henry Cohn, 2026, needs more optimization.
10 273 0.479199071528 Henry Cohn, 2026, needs more optimization.
10 274 0.479846042921 Henry Cohn, 2026, needs more optimization.
10 275 0.480136212448 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 276 0.480881506576 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 277 0.481204897389 Henry Cohn, 2026, needs more optimization.
10 278 0.481569617694 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 279 0.482052878455 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 280 0.482684021292 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 281 0.483118720243 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 282 0.483428225721 Henry Cohn, 2026, needs more optimization.
10 283 0.483469944160 Henry Cohn, 2026, needs more optimization.
10 284 0.483634768500 Henry Cohn, 2026, needs more optimization.
10 285 0.483656983869 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 286 0.484138707740 Henry Cohn, 2026, needs more optimization.
10 287 0.484350682189 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 288 0.484698982269 Henry Cohn, 2026, needs more optimization.
10 289 0.484843491570 Henry Cohn, 2026, needs more optimization.
10 290 0.484998447533 Henry Cohn, 2026, needs more optimization.
10 291 0.485254490353 Henry Cohn, 2026, needs more optimization.
10 292 0.485540792757 Henry Cohn, 2026, needs more optimization.
10 293 0.485808440812 Henry Cohn, 2026, needs more optimization.
10 294 0.486055187224 Henry Cohn, 2026, needs more optimization.
10 295 0.486405205766 Henry Cohn, 2026, needs more optimization.
10 296 0.486739135935 Henry Cohn, 2026, needs more optimization.
10 297 0.486965916781 Henry Cohn, 2026, needs more optimization.
10 298 0.487330711049 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 299 0.487466549441 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 300 0.488355237126 Henry Cohn, 2026, needs more optimization.
10 301 0.489069833470 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 302 0.489304093020 Henry Cohn, 2026, needs more optimization.
10 303 0.489647019670 Henry Cohn, 2026, needs more optimization.
10 304 0.489851583142 Henry Cohn, 2026, needs more optimization.
10 305 0.489993012472 Henry Cohn, 2026, needs more optimization.
10 306 0.490108720256 Henry Cohn, 2026, needs more optimization.
10 307 0.490278135152 Henry Cohn, 2026, needs more optimization.
10 308 0.490333095916 Henry Cohn, 2026, needs more optimization.
10 309 0.490424212461 Henry Cohn, 2026, needs more optimization.
10 310 0.490815169623 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 311 0.490995828807 Henry Cohn, 2026, needs more optimization.
10 312 0.491044225405 Henry Cohn, 2026, needs more optimization.
10 313 0.491214803692 Robert Dallara, 2026.
10 314 0.491265123898 Henry Cohn, 2026, needs more optimization.
10 315 0.491433947127 Henry Cohn, 2026, needs more optimization.
10 316 0.491768864852 Henry Cohn, 2026, needs more optimization.
10 317 0.491789121502 Henry Cohn, 2026, needs more optimization.
10 318 0.492029762342 Henry Cohn, 2026, needs more optimization.
10 319 0.492083129698 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 320 0.492410822747 Henry Cohn, 2026, needs more optimization.
10 321 0.492946427727 Henry Cohn, 2026, needs more optimization.
10 322 0.492969782476 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 323 0.493119245587 Henry Cohn, 2026, needs more optimization.
10 324 0.493570295072 Henry Cohn, 2026, needs more optimization.
10 325 0.494131911877 Henry Cohn, 2026, needs more optimization.
10 326 0.494233713841 Henry Cohn, 2026, needs more optimization.
10 327 0.494258414714 Henry Cohn, 2026, needs more optimization.
10 328 0.494444882426 Henry Cohn, 2026, needs more optimization.
10 329 0.495009069652 Henry Cohn, 2026, needs more optimization.
10 330 0.495065752208 Henry Cohn, 2026, needs more optimization.
10 331 0.495263497004 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 332 0.495432830193 Henry Cohn, 2026, needs more optimization.
10 333 0.495506886457 Henry Cohn, 2026, needs more optimization.
10 334 0.495525839848 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 335 0.495578528688 Henry Cohn, 2026, needs more optimization.
10 336 0.496113660488 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 337 0.496741897938 Henry Cohn, 2026, needs more optimization.
10 338 0.496876587648 Henry Cohn, 2026, needs more optimization.
10 339 0.496985912292 Henry Cohn, 2026, needs more optimization.
10 340 0.497029150635 Henry Cohn, 2026, needs more optimization.
10 341 0.497196807541 Henry Cohn, 2026, needs more optimization.
10 342 0.497236034731 Henry Cohn, 2026, needs more optimization.
10 343 0.497273167230 Henry Cohn, 2026, needs more optimization.
10 344 0.497306113608 Henry Cohn, 2026, needs more optimization.
10 345 0.497355992097 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 346 0.497714891470 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 347 0.497871560948 Henry Cohn, 2026, needs more optimization.
10 348 0.497909991987 Henry Cohn, 2026, needs more optimization.
10 349 0.497965986315 Henry Cohn, 2026, needs more optimization.
10 350 0.498022691809 Henry Cohn, 2026, needs more optimization.
10 351 0.498063391427 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 352 0.498258778017 Henry Cohn, 2026, needs more optimization.
10 353 0.498262544986 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 354 0.498351690042 Henry Cohn, 2026, needs more optimization.
10 355 0.498396968403 Henry Cohn, 2026, needs more optimization.
10 356 0.498435033156 Henry Cohn, 2026, needs more optimization.
10 357 0.498496145533 Henry Cohn, 2026, needs more optimization.
10 358 0.498558075345 Henry Cohn, 2026, needs more optimization.
10 359 0.498598360623 Henry Cohn, 2026, needs more optimization.
10 360 0.498678536877 Henry Cohn, 2026, needs more optimization.
10 361 0.498846151628 Henry Cohn, 2026, needs more optimization.
10 362 0.498880432313 Henry Cohn, 2026, needs more optimization.
10 363 0.498914237147 Henry Cohn, 2026, needs more optimization.
10 364 0.498934569843 Henry Cohn, 2026, needs more optimization.
10 365 0.498945662051 Henry Cohn, 2026, needs more optimization.
10 366 0.498963782854 Henry Cohn, 2026, needs more optimization.
10 367 0.499011349349 Henry Cohn, 2026, needs more optimization.
10 368 0.499063463647 Henry Cohn, 2026, needs more optimization.
10 369 0.499111749027 Henry Cohn, 2026, needs more optimization.
10 370 0.499267083598 Henry Cohn, 2026, needs more optimization.
10 371 0.499336839200 Henry Cohn, 2026, needs more optimization.
10 372 0.499457013126 Henry Cohn, 2026, needs more optimization.
10 373 0.499485713460 Henry Cohn, 2026, needs more optimization.
10 374 0.499506630809 Henry Cohn, 2026, needs more optimization.
10 375 0.499558383183 Henry Cohn, 2026, needs more optimization.
10 376 0.499643518839 Henry Cohn, 2026, needs more optimization.
10 377 0.499725808634 Henry Cohn, 2026, needs more optimization.
10 378 0.499831967129 Henry Cohn, 2026, needs more optimization.
10 379 0.499863849733 Henry Cohn, 2026, needs more optimization.
10 380 0.499878538023 Henry Cohn, 2026, needs more optimization.
10 381 0.499911963215 Henry Cohn, 2026, needs more optimization.
10 382 0.499915943003 Henry Cohn, 2026, needs more optimization.
10 383 0.499924808134 Henry Cohn, 2026, needs more optimization.
10 384 0.499940699083 Henry Cohn, 2026, needs more optimization.
10 385 0.499951882870 Henry Cohn, 2026, needs more optimization.
10 386 0.499975476369 Henry Cohn, 2026, needs more optimization.
10 387 0.499979639609 Henry Cohn, 2026, needs more optimization.
10 500 0.5 J. Leech and N. J. A. Sloane, Sphere packings and error-correcting codes, Canadian J. Math. 23 (1971), 718–745, doi:10.4153/CJM-1971-081-3.
2⁢x−1
10 510 0.5 M. Ganzhinov, Highly symmetric lines, Linear Algebra Appl. 722 (2025), 12–37, doi:10.1016/j.laa.2025.05.002.
2⁢x−1
10 511 0.526390788653 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 512 0.529226751109 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 513 0.530791842239 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 514 0.532342169412 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 515 0.533873838507 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 516 0.535309707239 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 517 0.536566180419 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 518 0.538008600875 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 519 0.539314326209 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 520 0.540212519018 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 521 0.541110873643 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 522 0.541747519623 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 523 0.542893796886 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 524 0.543530156280 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 525 0.544404804597 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 526 0.545088071398 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 527 0.545811198686 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 528 0.546336417769 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 529 0.547268524813 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 530 0.547807074620 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 531 0.548352755990 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 532 0.548900249813 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 533 0.549455481946 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 534 0.550070144415 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 535 0.550553114220 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 536 0.551146534165 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 537 0.551469049981 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 538 0.552005402249 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 539 0.552091158183 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 540 0.552665940570 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 541 0.553040247497 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 542 0.553225083058 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 543 0.553671540834 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 544 0.553867027124 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 545 0.554442150335 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 546 0.554653922841 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 547 0.555339420427 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 596 0.555555555556 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
9⁢x−5
10 608 0.555555555556 Henry Cohn, 2026, by enlarging a code from T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
9⁢x−5
10 609 0.560762348955 Henry Cohn, 2026, needs more optimization.
10 610 0.560766928586 Henry Cohn, 2026, needs more optimization.
10 611 0.560774415462 Henry Cohn, 2026, needs more optimization.
10 612 0.560798550965 Henry Cohn, 2026, needs more optimization.
10 613 0.560833911160 Henry Cohn, 2026, needs more optimization.
10 614 0.560850637844 Henry Cohn, 2026, needs more optimization.
10 615 0.561460968695 Henry Cohn, 2026, needs more optimization.
10 616 0.562642726288 Henry Cohn, 2026, needs more optimization.
10 740 0.564577451054 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
92⁢x2−36⁢x−9
10 771 0.564577451054 Henry Cohn, 2026, by enlarging a code from T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
92⁢x2−36⁢x−9
10 772 0.567862174034 Henry Cohn, 2026, needs more optimization.
10 773 0.569690948114 Henry Cohn, 2026, needs more optimization.
10 774 0.570751343034 Henry Cohn, 2026, needs more optimization.
10 775 0.571366386032 Henry Cohn, 2026, needs more optimization.
10 776 0.571914376700 Henry Cohn, 2026, needs more optimization.
10 777 0.572392610857 Henry Cohn, 2026, needs more optimization.
10 778 0.572423087545 Henry Cohn, 2026, needs more optimization.
10 779 0.572919610928 Pavlos Moros, 2026.
10 780 0.573080969609 Henry Cohn, 2026, needs more optimization.
10 781 0.573139854823 Henry Cohn, 2026, needs more optimization.
10 782 0.573316833096 Henry Cohn, 2026, needs more optimization.
10 783 0.573458246638 Henry Cohn, 2026, needs more optimization.
10 784 0.573540205377 Henry Cohn, 2026, needs more optimization.
10 785 0.573703946487 Henry Cohn, 2026, needs more optimization.
10 786 0.576353527013 Henry Cohn, 2026, needs more optimization.
10 787 0.576679935735 Henry Cohn, 2026, needs more optimization.
10 788 0.577080596797 Henry Cohn, 2026, needs more optimization.
10 789 0.577162452041 Henry Cohn, 2026, needs more optimization.
10 790 0.577887402608 Henry Cohn, 2026, needs more optimization.
10 791 0.578161834051 Henry Cohn, 2026, needs more optimization.
10 792 0.578621584499 Henry Cohn, 2026, needs more optimization.
10 793 0.578940916076 Henry Cohn, 2026, needs more optimization.
10 794 0.579394407824 Henry Cohn, 2026, needs more optimization.
10 795 0.579394742399 Robert Dallara, 2026.
10 796 0.580139418096 Henry Cohn, 2026, needs more optimization.
10 797 0.580536202434 Henry Cohn, 2026, needs more optimization.
10 798 0.580620049164 Henry Cohn, 2026, needs more optimization.
10 799 0.581819092751 Henry Cohn, 2026, needs more optimization.
10 800 0.581950401467 Henry Cohn, 2026, needs more optimization.
10 801 0.582157730737 Henry Cohn, 2026, needs more optimization.
10 802 0.583081659515 Henry Cohn, 2026, needs more optimization.
10 803 0.583363335826 Henry Cohn, 2026, needs more optimization.
10 804 0.583559647264 Henry Cohn, 2026, needs more optimization.
10 805 0.584224334051 Henry Cohn, 2026, needs more optimization.
10 806 0.584336924055 Henry Cohn, 2026, needs more optimization.
10 807 0.584416362399 Henry Cohn, 2026, needs more optimization.
10 808 0.584468135316 Henry Cohn, 2026, needs more optimization.
10 809 0.584762659210 Henry Cohn, 2026, needs more optimization.
10 810 0.585257853429 Henry Cohn, 2026, needs more optimization.
10 811 0.585300643403 Henry Cohn, 2026, needs more optimization.
10 812 0.585398591858 Henry Cohn, 2026, needs more optimization.
10 813 0.585459812602 Henry Cohn, 2026, needs more optimization.
10 814 0.585582490347 Henry Cohn, 2026, needs more optimization.
10 815 0.585648031689 Henry Cohn, 2026, needs more optimization.
10 816 0.585766117974 Henry Cohn, 2026, needs more optimization.
10 870 0.585786437627 Kevin Li, 2026.
x2−4⁢x+2
10 903 0.585786437627 Henry Cohn, 2026.
x2−4⁢x+2
10 904 0.588396833547 Henry Cohn, 2026, needs more optimization.
10 905 0.588521380123 Henry Cohn, 2026, needs more optimization.
10 906 0.588695415113 Henry Cohn, 2026, needs more optimization.
10 907 0.588904218323 Henry Cohn, 2026, needs more optimization.
10 908 0.589103855946 Henry Cohn, 2026, needs more optimization.
10 909 0.589203206442 Henry Cohn, 2026, needs more optimization.
10 910 0.589269890552 Henry Cohn, 2026, needs more optimization.
10 911 0.589375196646 Henry Cohn, 2026, needs more optimization.
10 912 0.589537229372 Henry Cohn, 2026, needs more optimization.
10 916 0.589560026940 Robert Dallara, 2026.
10 917 0.590201342714 Henry Cohn, 2026, needs more optimization.
10 918 0.590293259978 Henry Cohn, 2026, needs more optimization.
10 919 0.590373655503 Henry Cohn, 2026, needs more optimization.
10 920 0.590422901160 Henry Cohn, 2026, needs more optimization.
10 927 0.590514149690 Robert Dallara, 2026.
10 928 0.591302471190 Henry Cohn, 2026, needs more optimization.
10 940 0.591400308403 Robert Dallara, 2026.
10 941 0.593252606322 Henry Cohn, 2026, needs more optimization.
10 942 0.593302908758 Henry Cohn, 2026, needs more optimization.
10 943 0.593352454122 Henry Cohn, 2026, needs more optimization.
10 944 0.593556684666 Henry Cohn, 2026, needs more optimization.
10 945 0.593645143823 Henry Cohn, 2026, needs more optimization.
10 946 0.593791019644 Henry Cohn, 2026, needs more optimization.
10 947 0.593886039092 Henry Cohn, 2026, needs more optimization.
10 948 0.594144869069 Henry Cohn, 2026, needs more optimization.
10 949 0.594228790724 Henry Cohn, 2026, needs more optimization.
10 950 0.594307594608 Henry Cohn, 2026, needs more optimization.
10 951 0.595381258053 Henry Cohn, 2026, needs more optimization.
10 952 0.595529918628 Henry Cohn, 2026, needs more optimization.
10 953 0.595859812654 Henry Cohn, 2026, needs more optimization.
10 954 0.596031510724 Henry Cohn, 2026, needs more optimization.
10 955 0.596426152558 Henry Cohn, 2026, needs more optimization.
10 968 0.598871257965 Kevin Li, 2026.
41⁢x4+12⁢x3−18⁢x2−4⁢x+1
10 1024 0.6 Subcode of a code of size 1190 from T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
5⁢x−3
11 23 0.066201272532 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
891⁢x3−121⁢x2−11⁢x+1
11 24 0.077294525867 H. Cohn, Small spherical and projective codes, data set, updated 2025, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
Minimal polynomial listed in plain text data
11 25 0.083618757829 H. Cohn, Small spherical and projective codes, data set, updated 2023, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
11 26 0.090957106782 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
11 27 0.096579767338 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
11 28 0.102062072616 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
96⁢x2−1
11 29 0.108541175054 H. Cohn, Small spherical and projective codes, data set, updated 2025, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
Minimal polynomial listed in plain text data
11 30 0.111111111112 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
9⁢x−1
11 31 0.116882716629 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
1880159⁢x4+662980⁢x3+23850⁢x2−9500⁢x−625
11 32 0.127120178791 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
11 33 0.130869404972 Henry Cohn, 2023.
4276703⁢x4+1417464⁢x3−4824⁢x2−23328⁢x−1296
11 35 0.134804262191 Henry Cohn, 2023.
379⁢x2−14⁢x−5
11 36 0.135617659465 Henry Cohn, 2023.
34679⁢x4+11944⁢x3+264⁢x2−224⁢x−16
11 37 0.141119306055 Henry Cohn, 2023.
11 40 0.142857142858 H. Cohn, D. de Laat, and N. Leijenhorst, Optimality of spherical codes via exact semidefinite programming bounds, preprint, 2024, arXiv:2403.16874.
7⁢x−1
11 41 0.151608920662 Henry Cohn, 2023.
215⁢x2−26⁢x−1
11 42 0.152689377129 Henry Cohn, 2023.
441⁢x4+84⁢x3−66⁢x2+1
11 43 0.154540745580 Henry Cohn, 2024.
11 44 0.164387348702 Henry Cohn, 2023.
11 45 0.167764862361 Henry Cohn, 2023.
11 46 0.173024920814 Henry Cohn, 2023.
11 47 0.193134292608 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 48 0.198507362836 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 49 0.200478577594 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 50 0.204213386721 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 51 0.204957387535 Henry Cohn, 2023.
Minimal polynomial listed in plain text data
11 52 0.207163129386 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 53 0.209178537882 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 54 0.210356284337 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 55 0.211676319336 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 56 0.214633932920 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 61 0.214737233855 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
31⁢x2−2⁢x−1
11 68 0.231819094924 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
79⁢x2−14⁢x−1
11 69 0.241565014044 Henry Cohn, 2025.
Minimal polynomial listed in plain text data
11 70 0.244726315701 Henry Cohn, 2026.
263⁢x8−408⁢x7+27724⁢x6−10136⁢x5−11182⁢x4+5880⁢x3−932⁢x2+56⁢x−1
11 71 0.251063071270 Henry Cohn, 2026.
11 72 0.252505460067 Luke Granto, 2026.
11 73 0.252809003477 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 74 0.253814485528 Henry Cohn, 2026, needs more optimization.
11 75 0.255492795341 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 76 0.255729128120 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 77 0.258886418676 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 78 0.259645753634 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 79 0.260230531928 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 80 0.261163095118 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 81 0.261593527993 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 82 0.263018878676 Henry Cohn, 2026, needs more optimization.
11 83 0.263833259782 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 84 0.265001083146 Henry Cohn, 2026, needs more optimization.
11 85 0.266119803599 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 90 0.267191024627 Henry Cohn, 2026.
71⁢x2−4⁢x−4
11 91 0.273036326608 Henry Cohn, 2026.
11 92 0.280238324819 Henry Cohn, 2026, needs more optimization.
11 93 0.281331655261 Henry Cohn, 2026, needs more optimization.
11 94 0.282309473524 Henry Cohn, 2026.
11 95 0.283342800132 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 96 0.284656615290 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 97 0.285667906221 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 98 0.287338503170 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 99 0.288535692949 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 100 0.299763934480 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 101 0.302825797732 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 102 0.304429738364 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 103 0.304763721981 Henry Cohn, 2026, needs more optimization.
11 104 0.304774622973 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 105 0.305250484672 Henry Cohn, 2026, needs more optimization.
11 106 0.306417420784 Henry Cohn, 2026.
11 107 0.309832969299 Henry Cohn, 2026.
11 108 0.313206839612 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 109 0.319003125079 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 110 0.321538946690 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 111 0.322266842253 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 112 0.322339661641 Henry Cohn, 2026, needs more optimization.
11 113 0.322493378151 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 114 0.322727786022 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 115 0.322904575994 Henry Cohn, 2026, needs more optimization.
11 116 0.323595103174 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 117 0.324275550293 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 118 0.324624058219 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 119 0.324905922020 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 120 0.325028575040 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 121 0.325463854372 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 122 0.325932007898 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 123 0.327118459323 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 124 0.328643334260 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 125 0.330422987295 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 126 0.331455431898 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 127 0.332142102590 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 128 0.332191735945 Henry Cohn, 2026, needs more optimization.
11 129 0.332282468190 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 130 0.332374521039 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 131 0.332556317289 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 132 0.333102701122 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 136 0.333333333334 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
3⁢x−1
11 156 0.333333333334 M. Ganzhinov, Highly symmetric lines, Linear Algebra Appl. 722 (2025), 12–37, doi:10.1016/j.laa.2025.05.002.
3⁢x−1
11 157 0.360231641870 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 158 0.363455231410 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 159 0.366462928122 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 160 0.369327437577 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 161 0.371018284341 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 162 0.371733073788 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 163 0.374234763346 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 166 0.375 M. Ganzhinov and P. R. J. Östergård, Spherical codes with prescribed signed permutation automorphisms inside shells of low-dimensional integer lattices, IEEE Trans. Inform. Theory 70 (2024), 8669–8674, doi:10.1109/tit.2024.3462593, arXiv:2403.04330.
8⁢x−3
11 167 0.381887254531 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 168 0.382496147144 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 169 0.382525309840 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 170 0.386120748540 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 171 0.386874375501 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 172 0.387517047379 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 173 0.388873496354 Henry Cohn, 2026, needs more optimization.
11 174 0.390240762661 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 175 0.391398303900 Henry Cohn, 2026, needs more optimization.
11 176 0.392269356754 Henry Cohn, 2026, needs more optimization.
11 177 0.392538229503 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 178 0.393154202755 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 179 0.393185393161 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 180 0.393721849516 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 181 0.394437209582 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 182 0.394773177733 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 183 0.394903839923 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 184 0.395379467118 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 185 0.395569602670 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 186 0.395687261933 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 187 0.395784799648 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 188 0.395881320396 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 189 0.396022634045 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 190 0.396091714160 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 191 0.396202283225 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 192 0.396249890713 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 193 0.396290902807 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 194 0.396318236410 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 195 0.396980198714 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 196 0.397051143341 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 197 0.397258209194 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 198 0.397946859963 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 199 0.398046311979 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 200 0.398221272664 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 201 0.398575443508 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 202 0.399143524260 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 203 0.399743629360 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 204 0.400308204110 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 205 0.400575416411 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 206 0.401653680251 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 207 0.402094738575 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 208 0.404393262012 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 209 0.405390054495 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 210 0.405609872100 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 211 0.405610414758 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 212 0.406010594803 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 213 0.406192123357 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 214 0.408584633227 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 215 0.409891112491 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 216 0.410877688272 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 217 0.411687079085 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 218 0.412120687575 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 219 0.412283759118 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 220 0.412311500303 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 221 0.413518416386 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 222 0.414241603265 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 223 0.414641559769 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 224 0.418039796739 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 225 0.418575492722 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 226 0.419825697126 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 227 0.419867309823 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 228 0.419910924104 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 229 0.422548038030 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 230 0.424802213057 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 231 0.425093091997 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 232 0.425297112275 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 233 0.425705815026 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 234 0.425966110169 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 235 0.426491111360 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 236 0.426884106087 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 237 0.427228929353 Henry Cohn, 2026, needs more optimization.
11 238 0.427522975004 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 239 0.427743825712 Henry Cohn, 2026, needs more optimization.
11 240 0.427982594723 Henry Cohn, 2026, needs more optimization.
11 241 0.428350833039 Henry Cohn, 2026, needs more optimization.
11 242 0.428492037162 Henry Cohn, 2026, needs more optimization.
11 243 0.428988038487 Henry Cohn, 2026, needs more optimization.
11 244 0.429342786436 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 245 0.429540867075 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 246 0.429608118254 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 247 0.430395120256 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 248 0.430849542493 Henry Cohn, 2026, needs more optimization.
11 249 0.430857864339 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 250 0.431881873143 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 251 0.433060218160 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 252 0.433965666258 Henry Cohn, 2026, needs more optimization.
11 253 0.435444966472 Henry Cohn, 2026, needs more optimization.
11 254 0.435900796530 Henry Cohn, 2026, needs more optimization.
11 255 0.436451428022 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 256 0.437589466865 Henry Cohn, 2026, needs more optimization.
11 257 0.437615816553 Henry Cohn, 2026, needs more optimization.
11 258 0.437627848441 Henry Cohn, 2026, needs more optimization.
11 259 0.437649404595 Henry Cohn, 2026, needs more optimization.
11 260 0.437688640345 Henry Cohn, 2026, needs more optimization.
11 261 0.437712164687 Henry Cohn, 2026, needs more optimization.
11 262 0.437817599284 Henry Cohn, 2026, needs more optimization.
11 263 0.437867675285 Henry Cohn, 2026, needs more optimization.
11 264 0.438167550570 Henry Cohn, 2026, needs more optimization.
11 265 0.438224565574 Henry Cohn, 2026, needs more optimization.
11 266 0.438293790506 Henry Cohn, 2026, needs more optimization.
11 267 0.438374588305 Henry Cohn, 2026, needs more optimization.
11 268 0.438401318491 Henry Cohn, 2026, needs more optimization.
11 269 0.438476263305 Henry Cohn, 2026, needs more optimization.
11 270 0.438911316600 Henry Cohn, 2026, needs more optimization.
11 271 0.439314910286 Henry Cohn, 2026, needs more optimization.
11 272 0.439852652385 Henry Cohn, 2026, needs more optimization.
11 273 0.440061684983 Henry Cohn, 2026, needs more optimization.
11 274 0.440151727554 Henry Cohn, 2026, needs more optimization.
11 275 0.440514166160 Henry Cohn, 2026, needs more optimization.
11 276 0.440740672421 Henry Cohn, 2026, needs more optimization.
11 277 0.441101953677 Henry Cohn, 2026, needs more optimization.
11 278 0.441351851210 Henry Cohn, 2026, needs more optimization.
11 279 0.441566541194 Henry Cohn, 2026, needs more optimization.
11 280 0.441917046709 Henry Cohn, 2026, needs more optimization.
11 281 0.442403151242 Henry Cohn, 2026, needs more optimization.
11 282 0.442666904919 Henry Cohn, 2026, needs more optimization.
11 283 0.442750328936 Henry Cohn, 2026, needs more optimization.
11 284 0.443022128670 Henry Cohn, 2026, needs more optimization.
11 285 0.443552555444 Henry Cohn, 2026, needs more optimization.
11 286 0.443937253441 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 287 0.444175401199 Henry Cohn, 2026, needs more optimization.
11 288 0.444412834715 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 289 0.444811398948 Henry Cohn, 2026, needs more optimization.
11 290 0.445397749258 Henry Cohn, 2026, needs more optimization.
11 291 0.445585450206 Henry Cohn, 2026, needs more optimization.
11 292 0.445926805211 Henry Cohn, 2026, needs more optimization.
11 293 0.446796016459 Henry Cohn, 2026, needs more optimization.
11 294 0.447611565611 Henry Cohn, 2026, needs more optimization.
11 295 0.449266974780 Henry Cohn, 2026, needs more optimization.
11 296 0.449966291467 Henry Cohn, 2026, needs more optimization.
11 297 0.450897135279 Henry Cohn, 2026, needs more optimization.
11 298 0.451549730041 Henry Cohn, 2026, needs more optimization.
11 299 0.453924500166 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 300 0.455138944670 Henry Cohn, 2026, needs more optimization.
11 301 0.455676930793 Henry Cohn, 2026, needs more optimization.
11 302 0.456167432755 Henry Cohn, 2026, needs more optimization.
11 303 0.457408987034 Robert Dallara, 2026.
11 304 0.458786107150 Henry Cohn, 2026, needs more optimization.
11 305 0.458838724717 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 306 0.459519853583 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 307 0.459827385295 Henry Cohn, 2026, needs more optimization.
11 308 0.461128025985 Henry Cohn, 2026, needs more optimization.
11 309 0.461147931588 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 310 0.462577996897 Henry Cohn, 2026, needs more optimization.
11 311 0.463454229266 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 312 0.463958961096 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 313 0.464234468702 Henry Cohn, 2026, needs more optimization.
11 314 0.464720008238 Henry Cohn, 2026, needs more optimization.
11 315 0.464728386022 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 316 0.464997036157 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 317 0.465302575479 Henry Cohn, 2026, needs more optimization.
11 318 0.465315124686 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 319 0.466176028661 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 320 0.466342675686 Henry Cohn, 2026, needs more optimization.
11 321 0.466860191317 Henry Cohn, 2026, needs more optimization.
11 322 0.466978249771 Henry Cohn, 2026, needs more optimization.
11 323 0.467291639442 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 324 0.467983026348 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 325 0.468238857083 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 326 0.468897885946 Henry Cohn, 2026, needs more optimization.
11 327 0.469196233936 Henry Cohn, 2026, needs more optimization.
11 328 0.469734330717 Henry Cohn, 2026, needs more optimization.
11 329 0.470019329484 Henry Cohn, 2026, needs more optimization.
11 342 0.470588235295 Henry Cohn, 2026.
17⁢x−8
11 343 0.472339723589 Henry Cohn, 2026, needs more optimization.
11 344 0.473457257475 Henry Cohn, 2026, needs more optimization.
11 345 0.474142137297 Henry Cohn, 2026, needs more optimization.
11 346 0.474554016863 Henry Cohn, 2026, needs more optimization.
11 347 0.474972488386 Henry Cohn, 2026, needs more optimization.
11 348 0.475438984916 Henry Cohn, 2026, needs more optimization.
11 353 0.475671727248 Uploaded by anonymous internet user, 2026.
11 354 0.477483757326 Henry Cohn, 2026, needs more optimization.
11 355 0.477546515061 Henry Cohn, 2026, needs more optimization.
11 356 0.477619263739 Henry Cohn, 2026, needs more optimization.
11 357 0.477814979449 Henry Cohn, 2026, needs more optimization.
11 358 0.477889969855 Henry Cohn, 2026, needs more optimization.
11 359 0.478031259864 Henry Cohn, 2026, needs more optimization.
11 360 0.478154961446 Henry Cohn, 2026, needs more optimization.
11 361 0.478234308517 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 362 0.478696672177 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 363 0.479143579715 Henry Cohn, 2026, needs more optimization.
11 364 0.479146146404 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 365 0.479206069935 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 369 0.479442893487 Robert Dallara, 2026.
11 370 0.480203453972 Henry Cohn, 2026, needs more optimization.
11 371 0.480329423348 Henry Cohn, 2026, needs more optimization.
11 372 0.480453563547 Henry Cohn, 2026, needs more optimization.
11 373 0.480471278815 Henry Cohn, 2026, needs more optimization.
11 374 0.480678328784 Henry Cohn, 2026, needs more optimization.
11 375 0.480988250775 Henry Cohn, 2026, needs more optimization.
11 376 0.481303130924 Henry Cohn, 2026, needs more optimization.
11 377 0.481675278762 Henry Cohn, 2026, needs more optimization.
11 378 0.481772440322 Henry Cohn, 2026, needs more optimization.
11 379 0.482240997769 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 380 0.482596936511 Henry Cohn, 2026, needs more optimization.
11 381 0.482647714136 Henry Cohn, 2026, needs more optimization.
11 382 0.482953853903 Henry Cohn, 2026, needs more optimization.
11 383 0.483497452830 Henry Cohn, 2026, needs more optimization.
11 384 0.483657090144 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 385 0.483852412545 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 386 0.484125277343 Henry Cohn, 2026, needs more optimization.
11 390 0.484148795767 Robert Dallara, 2026.
11 391 0.484802283935 Henry Cohn, 2026, needs more optimization.
11 392 0.484926498575 Henry Cohn, 2026, needs more optimization.
11 393 0.485163299603 Henry Cohn, 2026, needs more optimization.
11 394 0.485193378263 Henry Cohn, 2026, needs more optimization.
11 395 0.485220534467 Henry Cohn, 2026, needs more optimization.
11 396 0.485238252626 Henry Cohn, 2026, needs more optimization.
11 397 0.485350723780 Henry Cohn, 2026, needs more optimization.
11 398 0.485466194984 Henry Cohn, 2026, needs more optimization.
11 399 0.485729974891 Henry Cohn, 2026, needs more optimization.
11 400 0.485830288073 Henry Cohn, 2026, needs more optimization.
11 401 0.486119099293 Henry Cohn, 2026, needs more optimization.
11 402 0.486129800705 Henry Cohn, 2026, needs more optimization.
11 403 0.486168429975 Henry Cohn, 2026, needs more optimization.
11 404 0.486171156141 Henry Cohn, 2026, needs more optimization.
11 405 0.486188374731 Henry Cohn, 2026, needs more optimization.
11 406 0.486202647530 Henry Cohn, 2026, needs more optimization.
11 407 0.486252629620 Henry Cohn, 2026, needs more optimization.
11 408 0.486443087385 Henry Cohn, 2026, needs more optimization.
11 409 0.486575460948 Henry Cohn, 2026, needs more optimization.
11 410 0.486711218007 Henry Cohn, 2026, needs more optimization.
11 411 0.487335409757 Henry Cohn, 2026, needs more optimization.
11 412 0.488062665798 Henry Cohn, 2026, needs more optimization.
11 413 0.488445226628 Henry Cohn, 2026, needs more optimization.
11 414 0.488883129839 Henry Cohn, 2026, needs more optimization.
11 415 0.488927573457 Henry Cohn, 2026, needs more optimization.
11 416 0.489052705352 Henry Cohn, 2026, needs more optimization.
11 417 0.489127006838 Henry Cohn, 2026, needs more optimization.
11 418 0.489294089714 Henry Cohn, 2026, needs more optimization.
11 419 0.489363765415 Henry Cohn, 2026, needs more optimization.
11 420 0.489549320895 Henry Cohn, 2026, needs more optimization.
11 421 0.489621219947 Henry Cohn, 2026, needs more optimization.
11 422 0.489703753403 Henry Cohn, 2026, needs more optimization.
11 423 0.489851091128 Henry Cohn, 2026, needs more optimization.
11 424 0.489999400221 Henry Cohn, 2026, needs more optimization.
11 425 0.490113530837 Robert Dallara, 2026.
11 426 0.490679327946 Henry Cohn, 2026, needs more optimization.
11 427 0.490902320230 Henry Cohn, 2026, needs more optimization.
11 428 0.491078724671 Henry Cohn, 2026, needs more optimization.
11 429 0.491308071775 Henry Cohn, 2026, needs more optimization.
11 430 0.491584056665 Henry Cohn, 2026, needs more optimization.
11 431 0.491815007254 Henry Cohn, 2026, needs more optimization.
11 432 0.491933948056 Henry Cohn, 2026, needs more optimization.
11 433 0.492097050655 Henry Cohn, 2026, needs more optimization.
11 434 0.492274045722 Henry Cohn, 2026, needs more optimization.
11 435 0.492572446243 Henry Cohn, 2026, needs more optimization.
11 436 0.492636601549 Henry Cohn, 2026, needs more optimization.
11 437 0.492774961206 Henry Cohn, 2026, needs more optimization.
11 438 0.492800955733 Henry Cohn, 2026, needs more optimization.
11 439 0.492843282583 Henry Cohn, 2026, needs more optimization.
11 440 0.492996475253 Henry Cohn, 2026, needs more optimization.
11 441 0.493004359549 Henry Cohn, 2026, needs more optimization.
11 442 0.493039576191 Henry Cohn, 2026, needs more optimization.
11 443 0.493048475923 Henry Cohn, 2026, needs more optimization.
11 444 0.493104504689 Henry Cohn, 2026, needs more optimization.
11 445 0.493278939824 Henry Cohn, 2026, needs more optimization.
11 446 0.493334077877 Henry Cohn, 2026, needs more optimization.
11 447 0.493347754121 Henry Cohn, 2026, needs more optimization.
11 448 0.493366370551 Henry Cohn, 2026, needs more optimization.
11 449 0.494145130994 Henry Cohn, 2026, needs more optimization.
11 450 0.495206037924 Henry Cohn, 2026, needs more optimization.
11 451 0.495412791377 Henry Cohn, 2026, needs more optimization.
11 452 0.495514898296 Henry Cohn, 2026, needs more optimization.
11 453 0.495604022122 Henry Cohn, 2026, needs more optimization.
11 454 0.495823656163 Henry Cohn, 2026, needs more optimization.
11 455 0.495870281191 Henry Cohn, 2026, needs more optimization.
11 456 0.495911478296 Henry Cohn, 2026, needs more optimization.
11 457 0.495992184282 Henry Cohn, 2026, needs more optimization.
11 458 0.496125863634 Henry Cohn, 2026, needs more optimization.
11 459 0.496346059689 Henry Cohn, 2026, needs more optimization.
11 466 0.496480247013 Robert Dallara, 2026.
11 467 0.497484511683 Henry Cohn, 2026, needs more optimization.
11 468 0.497558573813 Henry Cohn, 2026, needs more optimization.
11 469 0.497714364925 Henry Cohn, 2026, needs more optimization.
11 470 0.497774953165 Henry Cohn, 2026, needs more optimization.
11 471 0.497900881682 Henry Cohn, 2026, needs more optimization.
11 472 0.497974127597 Henry Cohn, 2026, needs more optimization.
11 473 0.498096255513 Henry Cohn, 2026, needs more optimization.
11 474 0.498163115505 Henry Cohn, 2026, needs more optimization.
11 475 0.498287573035 Henry Cohn, 2026, needs more optimization.
11 476 0.498337032702 Henry Cohn, 2026, needs more optimization.
11 477 0.498377079967 Henry Cohn, 2026, needs more optimization.
11 482 0.498433650166 Robert Dallara, 2026.
11 483 0.499145041848 Henry Cohn, 2026, needs more optimization.
11 484 0.499186507960 Henry Cohn, 2026, needs more optimization.
11 490 0.499216419276 Henry Cohn, 2026, needs more optimization.
11 491 0.499216990360 Robert Dallara, 2026.
11 492 0.499423062530 Henry Cohn, 2026, needs more optimization.
11 493 0.499438035770 Henry Cohn, 2026, needs more optimization.
11 494 0.499457701351 Henry Cohn, 2026, needs more optimization.
11 502 0.499458034930 Robert Dallara, 2026.
11 503 0.499553605721 Henry Cohn, 2026, needs more optimization.
11 504 0.499559027908 Henry Cohn, 2026, needs more optimization.
11 505 0.499564967436 Henry Cohn, 2026, needs more optimization.
11 506 0.499568600354 Henry Cohn, 2026, needs more optimization.
11 507 0.499572906651 Henry Cohn, 2026, needs more optimization.
11 508 0.499578208688 Henry Cohn, 2026, needs more optimization.
11 509 0.499582213817 Henry Cohn, 2026, needs more optimization.
11 510 0.499585501788 Henry Cohn, 2026, needs more optimization.
11 511 0.499588968819 Henry Cohn, 2026, needs more optimization.
11 512 0.499592720389 Henry Cohn, 2026, needs more optimization.
11 513 0.499594727864 Henry Cohn, 2026, needs more optimization.
11 514 0.499597713300 Henry Cohn, 2026, needs more optimization.
11 515 0.499602358455 Henry Cohn, 2026, needs more optimization.
11 516 0.499609818999 Henry Cohn, 2026, needs more optimization.
11 517 0.499613301833 Henry Cohn, 2026, needs more optimization.
11 518 0.499616586819 Henry Cohn, 2026, needs more optimization.
11 519 0.499620424283 Henry Cohn, 2026, needs more optimization.
11 520 0.499622683484 Henry Cohn, 2026, needs more optimization.
11 521 0.499625595635 Henry Cohn, 2026, needs more optimization.
11 522 0.499641012538 Henry Cohn, 2026, needs more optimization.
11 523 0.499641035684 Henry Cohn, 2026, needs more optimization.
11 524 0.499643861672 Henry Cohn, 2026, needs more optimization.
11 525 0.499643868478 Henry Cohn, 2026, needs more optimization.
11 526 0.499644220027 Henry Cohn, 2026, needs more optimization.
11 527 0.499644278560 Henry Cohn, 2026, needs more optimization.
11 528 0.499645182300 Henry Cohn, 2026, needs more optimization.
11 529 0.499645382748 Henry Cohn, 2026, needs more optimization.
11 530 0.499645829367 Henry Cohn, 2026, needs more optimization.
11 531 0.499647784863 Henry Cohn, 2026, needs more optimization.
11 532 0.499647799745 Henry Cohn, 2026, needs more optimization.
11 533 0.499650655303 Henry Cohn, 2026, needs more optimization.
11 534 0.499651373920 Henry Cohn, 2026, needs more optimization.
11 535 0.499651531493 Henry Cohn, 2026, needs more optimization.
11 536 0.499652346072 Henry Cohn, 2026, needs more optimization.
11 537 0.499652836682 Henry Cohn, 2026, needs more optimization.
11 538 0.499655636834 Henry Cohn, 2026, needs more optimization.
11 539 0.499655885200 Henry Cohn, 2026, needs more optimization.
11 540 0.499656156173 Henry Cohn, 2026, needs more optimization.
11 541 0.499656171665 Henry Cohn, 2026, needs more optimization.
11 542 0.499656268924 Henry Cohn, 2026, needs more optimization.
11 543 0.499657802180 Henry Cohn, 2026, needs more optimization.
11 544 0.499657803840 Henry Cohn, 2026, needs more optimization.
11 545 0.499657822653 Henry Cohn, 2026, needs more optimization.
11 546 0.499657891287 Henry Cohn, 2026, needs more optimization.
11 547 0.499658318038 Henry Cohn, 2026, needs more optimization.
11 548 0.499658778461 Henry Cohn, 2026, needs more optimization.
11 549 0.499658792558 Henry Cohn, 2026, needs more optimization.
11 550 0.499658849177 Henry Cohn, 2026, needs more optimization.
11 551 0.499659189523 Henry Cohn, 2026, needs more optimization.
11 552 0.499659559218 Henry Cohn, 2026, needs more optimization.
11 553 0.499659564701 Henry Cohn, 2026, needs more optimization.
11 554 0.499659565149 Henry Cohn, 2026, needs more optimization.
11 555 0.499659578668 Henry Cohn, 2026, needs more optimization.
11 556 0.499659597782 Henry Cohn, 2026, needs more optimization.
11 557 0.499659635349 Henry Cohn, 2026, needs more optimization.
11 558 0.499659971440 Henry Cohn, 2026, needs more optimization.
11 559 0.499660328025 Henry Cohn, 2026, needs more optimization.
11 560 0.499660328239 Henry Cohn, 2026, needs more optimization.
11 561 0.499660328582 Henry Cohn, 2026, needs more optimization.
11 562 0.499660329168 Henry Cohn, 2026, needs more optimization.
11 563 0.499660335332 Henry Cohn, 2026, needs more optimization.
11 564 0.499660343142 Henry Cohn, 2026, needs more optimization.
11 565 0.499660351868 Henry Cohn, 2026, needs more optimization.
11 566 0.499660380860 Henry Cohn, 2026, needs more optimization.
11 567 0.499660625907 Henry Cohn, 2026, needs more optimization.
11 568 0.499660635063 Henry Cohn, 2026, needs more optimization.
11 569 0.499660648308 Henry Cohn, 2026, needs more optimization.
11 570 0.499660664844 Henry Cohn, 2026, needs more optimization.
11 571 0.499660956357 Henry Cohn, 2026, needs more optimization.
11 572 0.499660956774 Henry Cohn, 2026, needs more optimization.
11 573 0.499660957644 Henry Cohn, 2026, needs more optimization.
11 574 0.499660958218 Henry Cohn, 2026, needs more optimization.
11 575 0.499660985475 Henry Cohn, 2026, needs more optimization.
11 576 0.499661193356 Henry Cohn, 2026, needs more optimization.
11 577 0.499661204870 Henry Cohn, 2026, needs more optimization.
11 578 0.499661245275 Henry Cohn, 2026, needs more optimization.
11 579 0.499662537460 Henry Cohn, 2026, needs more optimization.
11 580 0.499663118871 Henry Cohn, 2026, needs more optimization.
11 581 0.499663121136 Henry Cohn, 2026, needs more optimization.
11 582 0.499663807783 Henry Cohn, 2026, needs more optimization.
11 583 0.499663824518 Henry Cohn, 2026, needs more optimization.
11 584 0.499663824535 Henry Cohn, 2026, needs more optimization.
11 585 0.499664041987 Henry Cohn, 2026, needs more optimization.
11 586 0.499664312285 Henry Cohn, 2026, needs more optimization.
11 587 0.499664372133 Henry Cohn, 2026, needs more optimization.
11 588 0.499666160454 Henry Cohn, 2026, needs more optimization.
11 589 0.499666163906 Henry Cohn, 2026, needs more optimization.
11 590 0.499666184241 Henry Cohn, 2026, needs more optimization.
11 591 0.499666323817 Henry Cohn, 2026, needs more optimization.
11 592 0.499668989970 Henry Cohn, 2026, needs more optimization.
11 593 0.499999985855 Henry Cohn, 2026, needs more optimization.
11 604 0.5 F. Bianchi, Y. Kwon, A. Pappu, and J. Zou, Harnessing the collective intelligence of AI agents in the wild for new discoveries, preprint, 2026, arXiv:2606.10402.
2⁢x−1
11 605 0.507413214287 Henry Cohn, 2026, needs more optimization.
11 606 0.508065825376 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 607 0.508541273904 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 608 0.508829438760 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 609 0.509134174673 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 610 0.509551977262 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 611 0.509603781299 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 612 0.509708839475 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 613 0.509840968058 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 614 0.510303581774 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 615 0.510928748557 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 616 0.511339818093 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 617 0.512214676234 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 618 0.513408415435 Henry Cohn, 2026, needs more optimization.
11 619 0.513861441907 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 620 0.514033552842 Henry Cohn, 2026, needs more optimization.
11 621 0.514676802078 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 622 0.514772325984 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 623 0.515099544536 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 624 0.515382732138 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 625 0.515647140198 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 626 0.516014992788 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 627 0.516277098567 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 628 0.516911918454 Henry Cohn, 2026, needs more optimization.
11 629 0.517524588160 Henry Cohn, 2026, needs more optimization.
11 630 0.517863158701 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 631 0.518224674144 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 632 0.518567853365 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 633 0.518872119999 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 634 0.519534230430 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 635 0.519817484849 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 636 0.520425781348 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 637 0.520903322910 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 638 0.521125765803 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 639 0.521611716163 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 640 0.522139110644 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 641 0.522701283256 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 642 0.522900346210 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 643 0.523744021970 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 644 0.524069006124 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 645 0.524518426324 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 646 0.524893981494 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 647 0.525217996054 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 648 0.525559588934 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 649 0.525567190493 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 650 0.525661139783 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 651 0.525700798225 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 652 0.525723786491 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 653 0.525817650315 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 654 0.525906046626 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 655 0.526148490544 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 656 0.526325072251 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 657 0.526482827235 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 658 0.526589504774 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 659 0.526791058520 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 660 0.526902177410 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 661 0.526972284227 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 662 0.527047257742 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 663 0.527138857726 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 664 0.527226020483 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 665 0.527283407694 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 666 0.527704956501 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 667 0.527748892403 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 668 0.528029045945 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 669 0.528207463542 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 670 0.528515924071 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 671 0.528734589746 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 672 0.529060952195 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 673 0.529260296662 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 674 0.529406305382 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 675 0.529544960915 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 676 0.529645748858 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 677 0.529757116000 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 678 0.529920319590 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 679 0.530044141613 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 680 0.530070044323 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 681 0.530198061847 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 682 0.530411805364 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 683 0.530676208107 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 684 0.530883669087 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 685 0.530915428896 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 686 0.531175327713 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 687 0.531239879053 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 688 0.531314915121 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 689 0.532038767701 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 690 0.532737805980 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 691 0.533229148976 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 692 0.533712311242 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 693 0.538656399915 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 694 0.538991959669 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 695 0.539416460832 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 696 0.539496346879 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 697 0.539954947249 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 698 0.540353882898 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 699 0.540646421959 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 700 0.540791584712 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 701 0.540855525815 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 702 0.540862221350 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 703 0.540981851225 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 704 0.541203830271 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 705 0.541229766172 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 706 0.541255810943 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 707 0.541271052012 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 708 0.541386027022 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 709 0.541431260795 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 710 0.541439446145 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 711 0.541443861560 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 712 0.541651939734 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 713 0.541688790862 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 714 0.541740403019 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 715 0.541853126681 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 716 0.542314305404 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 717 0.542392221456 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 718 0.542406385969 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 719 0.542450857794 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 720 0.542571505243 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 721 0.542762548190 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 722 0.542944987473 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 723 0.542978793099 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 724 0.543008409852 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 725 0.543389456357 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 726 0.543540746098 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 727 0.543652841959 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 728 0.543803174122 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 729 0.543830499379 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 730 0.543906423372 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 731 0.544841107604 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 732 0.544898479826 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 733 0.545311273427 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 734 0.545615774487 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 735 0.545796556143 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 736 0.546351006997 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 737 0.546621535430 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 738 0.546760720032 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 1002 0.546918160679 Kevin Li, 2026.
7⁢x2−2⁢x−1
11 1003 0.548627545468 Robert Dallara, 2026.
11 1004 0.555819367348 Robert Dallara, 2026.
11 1005 0.562055142255 Henry Cohn, 2026, needs more optimization.
11 1006 0.563275293497 Henry Cohn, 2026, needs more optimization.
11 1007 0.564600560618 Henry Cohn, 2026, needs more optimization.
11 1008 0.564930152520 Henry Cohn, 2026, needs more optimization.
11 1009 0.566542860960 Henry Cohn, 2026, needs more optimization.
11 1010 0.567063940173 Henry Cohn, 2026, needs more optimization.
11 1011 0.567942231957 Henry Cohn, 2026, needs more optimization.
11 1012 0.568972347062 Henry Cohn, 2026, needs more optimization.
11 1013 0.571626602098 Henry Cohn, 2026, needs more optimization.
11 1014 0.571814411457 Henry Cohn, 2026, needs more optimization.
11 1015 0.571936436041 Henry Cohn, 2026, needs more optimization.
11 1016 0.572061963752 Henry Cohn, 2026, needs more optimization.
11 1017 0.572191614821 Henry Cohn, 2026, needs more optimization.
11 1018 0.572358672503 Henry Cohn, 2026, needs more optimization.
11 1019 0.572475531054 Henry Cohn, 2026, needs more optimization.
11 1020 0.572598768802 Henry Cohn, 2026, needs more optimization.
11 1021 0.572657133727 Henry Cohn, 2026, needs more optimization.
11 1022 0.572791996854 Henry Cohn, 2026, needs more optimization.
11 1023 0.572912183746 Henry Cohn, 2026, needs more optimization.
11 1024 0.573027892261 Pavlos Moros, 2026.
12 25 0.061281914575 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
1200⁢x3−144⁢x2−12⁢x+1
12 26 0.071428571429 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
14⁢x−1
12 27 0.074764926182 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
12 28 0.082592206268 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
12 29 0.084348009310 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
496⁢x4+92⁢x3−57⁢x2−8⁢x+1
12 30 0.089146601434 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
3856⁢x4+1456⁢x3+100⁢x2−12⁢x−1
12 31 0.098704091241 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
863⁢x2+6⁢x−9
12 32 0.098704091241 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
863⁢x2+6⁢x−9
12 34 0.112004618870 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
44⁢x2+4⁢x−1
12 35 0.119914058434 Henry Cohn, 2025.
12 36 0.121730661114 Henry Cohn, 2026.
12 37 0.121971459128 Henry Cohn, 2023.
359⁢x2+30⁢x−9
12 38 0.130785955647 Henry Cohn, 2026.
12 39 0.132497435001 Henry Cohn, 2023.
12 40 0.133638243588 Henry Cohn, 2023.
12 41 0.135922539556 Henry Cohn, 2023.
12 42 0.136597789057 Henry Cohn, 2023.
5296⁢x4+1248⁢x3−40⁢x2−24⁢x−1
12 43 0.139595542735 Henry Cohn, 2023.
Minimal polynomial listed in plain text data
12 44 0.141964936980 Henry Cohn, 2023.
736256⁢x8−133120⁢x7−146176⁢x6−13824⁢x5+8368⁢x4+1568⁢x3−72⁢x2−24⁢x−1
12 45 0.149653254074 Henry Cohn, 2024.
12 46 0.150221879934 Henry Cohn, 2025.
12 50 0.150442862439 Henry Cohn, 2023.
956⁢x2−84⁢x−9
12 51 0.159810400056 Henry Cohn, 2023.
3600⁢x5−1080⁢x4−252⁢x3+36⁢x2+9⁢x−1
12 52 0.180095470186 Henry Cohn, 2025.
12 53 0.187323217985 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 54 0.189736045016 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 55 0.193319221516 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 60 0.193457871625 Henry Cohn, 2026.
3088⁢x4−1184⁢x3−120⁢x2+40⁢x+1
12 61 0.196565668411 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
12 62 0.197162933815 Henry Cohn, 2026.
24⁢x3+92⁢x2−14⁢x−1
12 63 0.207400387824 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 64 0.210566554872 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 65 0.214409160183 Henry Cohn, 2026.
12 66 0.214727052210 Henry Cohn, 2026, needs more optimization.
12 67 0.215314862828 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 68 0.219978834878 Henry Cohn, 2026, needs more optimization.
12 69 0.225092708566 Henry Cohn, 2026, needs more optimization.
12 70 0.228364125667 Henry Cohn, 2026, needs more optimization.
12 71 0.230211592258 Luke Granto, 2026.
12 72 0.231096328878 Henry Cohn, 2026, needs more optimization.
12 73 0.232328768771 Henry Cohn, 2026, needs more optimization.
12 74 0.232756430709 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 78 0.233245773320 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
455568⁢x4−93824⁢x3−18708⁢x2+2448⁢x+289
12 79 0.241071142239 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 80 0.243286088451 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 81 0.243910094468 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 90 0.244488618750 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
29⁢x2−3⁢x−1
12 91 0.250930941988 Henry Cohn, 2026, needs more optimization.
12 92 0.258374597677 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 93 0.258578655331 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 94 0.258907434420 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 95 0.259495774060 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 100 0.259843574332 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
167⁢x2−28⁢x−4
12 101 0.260004785660 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 102 0.267189597147 Henry Cohn, 2026, needs more optimization.
12 103 0.268871885044 Henry Cohn, 2026, needs more optimization.
12 104 0.271220932439 Henry Cohn, 2026, needs more optimization.
12 106 0.271795861692 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9857⁢x4−1284⁢x3−378⁢x2−4⁢x+1
12 107 0.273389796108 Henry Cohn, 2026, needs more optimization.
12 108 0.276742343471 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 109 0.277360763676 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 110 0.277818835253 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 111 0.278673380268 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 112 0.279412643181 Henry Cohn, 2026, needs more optimization.
12 113 0.281946731563 Henry Cohn, 2026, needs more optimization.
12 114 0.290350967170 Henry Cohn, 2026, needs more optimization.
12 115 0.291586178957 Henry Cohn, 2026, needs more optimization.
12 116 0.292118660820 Henry Cohn, 2026, needs more optimization.
12 117 0.292825931080 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 118 0.293549457622 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 119 0.294441562714 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 121 0.294708984703 Henry Cohn, 2026.
12 138 0.299119474480 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
49⁢x2−18⁢x+1
12 139 0.300637961639 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 140 0.308490171660 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 141 0.317509000097 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 142 0.317588035145 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 143 0.317814175229 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 144 0.317963092614 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 145 0.318260329457 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 146 0.318476035507 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 147 0.318849581733 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 148 0.319694060759 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 149 0.320687471946 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 150 0.322737861465 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 151 0.324338709030 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 152 0.326095072979 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 153 0.326663199941 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 154 0.327732821508 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 155 0.328401838815 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 156 0.328626900885 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 157 0.329207461444 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 158 0.329458984544 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 159 0.329657200966 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 160 0.329814833598 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 161 0.329897727579 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 162 0.329991312203 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 163 0.330656469999 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 164 0.331261134476 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 165 0.331415494102 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 166 0.331797491509 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 167 0.332153895455 Henry Cohn, 2026, needs more optimization.
12 168 0.332482019903 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 169 0.332713895660 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 170 0.332830733250 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 171 0.332962495939 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 172 0.333015274866 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 173 0.333031589011 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 174 0.333057570223 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 175 0.333096643877 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 176 0.333139737275 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 177 0.333140146607 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 178 0.333145225371 Henry Cohn, 2026, needs more optimization.
12 179 0.333336415106 Henry Cohn, 2026, needs more optimization.
12 180 0.335278345628 Henry Cohn, 2026, needs more optimization.
12 181 0.344146443722 Henry Cohn, 2026, needs more optimization.
12 183 0.345562141630 Robert Dallara, 2026.
12 184 0.348683494750 Henry Cohn, 2026, needs more optimization.
12 185 0.349446787792 Henry Cohn, 2026, needs more optimization.
12 186 0.351892164858 Henry Cohn, 2026, needs more optimization.
12 187 0.352415421811 Henry Cohn, 2026, needs more optimization.
12 188 0.353544930858 Henry Cohn, 2026, needs more optimization.
12 189 0.354811939570 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 190 0.355745660293 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 191 0.356085174184 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 192 0.356740800002 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 193 0.357862431959 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 194 0.360528524202 Henry Cohn, 2026, needs more optimization.
12 195 0.361701063121 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 196 0.362299122138 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 197 0.363414889950 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 198 0.364186303004 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 199 0.365047857075 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 200 0.365797047246 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 201 0.367099356686 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 202 0.367727770955 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 203 0.369076752419 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 204 0.369894963631 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 205 0.370831165488 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 206 0.372394404614 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 207 0.373537299081 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 208 0.374170759434 Robert Dallara, 2026.
12 210 0.375 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001, Appendix D.12.12. The appendix lists the code size as 209, but the construction works just as well for 210.
8⁢x−3
12 211 0.376038822633 Henry Cohn, 2026, needs more optimization.
12 212 0.377565074289 Henry Cohn, 2026, needs more optimization.
12 213 0.377975674471 Henry Cohn, 2026, needs more optimization.
12 214 0.378454878342 Henry Cohn, 2026, needs more optimization.
12 215 0.378693819998 Henry Cohn, 2026, needs more optimization.
12 216 0.379069001113 Henry Cohn, 2026, needs more optimization.
12 217 0.381185215968 Henry Cohn, 2026, needs more optimization.
12 218 0.382003961603 Henry Cohn, 2026, needs more optimization.
12 219 0.382402821354 Henry Cohn, 2026, needs more optimization.
12 220 0.382687778939 Henry Cohn, 2026, needs more optimization.
12 221 0.383520240342 Henry Cohn, 2026, needs more optimization.
12 222 0.383963088886 Henry Cohn, 2026, needs more optimization.
12 223 0.384249076707 Henry Cohn, 2026, needs more optimization.
12 224 0.384448243292 Henry Cohn, 2026, needs more optimization.
12 225 0.384621292658 Henry Cohn, 2026, needs more optimization.
12 226 0.384765458113 Henry Cohn, 2026, needs more optimization.
12 227 0.385754442906 Henry Cohn, 2026, needs more optimization.
12 228 0.386249953239 Henry Cohn, 2026, needs more optimization.
12 229 0.386647132065 Henry Cohn, 2026, needs more optimization.
12 230 0.387170179373 Henry Cohn, 2026, needs more optimization.
12 231 0.387700711617 Henry Cohn, 2026, needs more optimization.
12 232 0.389024577362 Robert Dallara, 2026.
12 233 0.390791605225 Henry Cohn, 2026, needs more optimization.
12 234 0.390995328792 Henry Cohn, 2026, needs more optimization.
12 235 0.391128163595 Henry Cohn, 2026, needs more optimization.
12 236 0.391279101091 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 237 0.391462981006 Henry Cohn, 2026, needs more optimization.
12 238 0.392097482821 Henry Cohn, 2026, needs more optimization.
12 239 0.392515999747 Henry Cohn, 2026, needs more optimization.
12 240 0.392766382321 Henry Cohn, 2026, needs more optimization.
12 241 0.392881828838 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 242 0.395027326517 Henry Cohn, 2026, needs more optimization.
12 243 0.396567405421 Henry Cohn, 2026, needs more optimization.
12 244 0.398230621185 Henry Cohn, 2026, needs more optimization.
12 245 0.398937001137 Henry Cohn, 2026, needs more optimization.
12 246 0.398955863549 Henry Cohn, 2026, needs more optimization.
12 247 0.399094611841 Henry Cohn, 2026, needs more optimization.
12 248 0.399120484599 Robert Dallara, 2026.
12 288 0.4 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
5⁢x−2
12 290 0.4 Henry Cohn, 2026.
5⁢x−2
12 291 0.401559213632 Henry Cohn, 2026, needs more optimization.
12 292 0.405514696773 Henry Cohn, 2026, needs more optimization.
12 293 0.408656166648 Henry Cohn, 2026, needs more optimization.
12 294 0.410761471641 Henry Cohn, 2026, needs more optimization.
12 295 0.412717806933 Henry Cohn, 2026, needs more optimization.
12 296 0.413757387356 Henry Cohn, 2026, needs more optimization.
12 297 0.414715708659 Henry Cohn, 2026, needs more optimization.
12 298 0.416895505743 Henry Cohn, 2026, needs more optimization.
12 299 0.418342407452 Henry Cohn, 2026, needs more optimization.
12 300 0.419707341466 Henry Cohn, 2026, needs more optimization.
12 301 0.420797437608 Henry Cohn, 2026, needs more optimization.
12 302 0.422031606694 Henry Cohn, 2026, needs more optimization.
12 303 0.423110277528 Henry Cohn, 2026, needs more optimization.
12 304 0.424099110888 Henry Cohn, 2026, needs more optimization.
12 305 0.425032977521 Henry Cohn, 2026, needs more optimization.
12 306 0.426435401107 Henry Cohn, 2026, needs more optimization.
12 307 0.427411730774 Henry Cohn, 2026, needs more optimization.
12 308 0.427667685505 Henry Cohn, 2026, needs more optimization.
12 309 0.427759151622 Henry Cohn, 2026, needs more optimization.
12 310 0.427773485678 Henry Cohn, 2026, needs more optimization.
12 311 0.427786942262 Henry Cohn, 2026, needs more optimization.
12 315 0.427801235599 Robert Dallara, 2026.
12 316 0.427889748255 Henry Cohn, 2026, needs more optimization.
12 317 0.427910476079 Henry Cohn, 2026, needs more optimization.
12 318 0.427927146719 Henry Cohn, 2026, needs more optimization.
12 319 0.427945277708 Henry Cohn, 2026, needs more optimization.
12 320 0.427988252521 Henry Cohn, 2026, needs more optimization.
12 321 0.428007959028 Henry Cohn, 2026, needs more optimization.
12 322 0.428040680334 Henry Cohn, 2026, needs more optimization.
12 323 0.428050853019 Henry Cohn, 2026, needs more optimization.
12 326 0.428061443781 Robert Dallara, 2026.
12 327 0.428113591643 Henry Cohn, 2026, needs more optimization.
12 328 0.428121691320 Henry Cohn, 2026, needs more optimization.
12 329 0.428158478012 Henry Cohn, 2026, needs more optimization.
12 330 0.428192734207 Henry Cohn, 2026, needs more optimization.
12 331 0.428203982625 Henry Cohn, 2026, needs more optimization.
12 332 0.428222916819 Henry Cohn, 2026, needs more optimization.
12 333 0.428244462079 Henry Cohn, 2026, needs more optimization.
12 334 0.428261859239 Henry Cohn, 2026, needs more optimization.
12 335 0.428289989824 Henry Cohn, 2026, needs more optimization.
12 336 0.428293771245 Henry Cohn, 2026, needs more optimization.
12 337 0.428309233443 Henry Cohn, 2026, needs more optimization.
12 345 0.428334994615 Henry Cohn, 2026, needs more optimization.
12 346 0.428343438495 Henry Cohn, 2026, needs more optimization.
12 347 0.428434327896 Henry Cohn, 2026, needs more optimization.
12 348 0.429372195458 Henry Cohn, 2026, needs more optimization.
12 349 0.430391482968 Henry Cohn, 2026, needs more optimization.
12 350 0.430719397159 Henry Cohn, 2026, needs more optimization.
12 351 0.430729614104 Henry Cohn, 2026, needs more optimization.
12 352 0.430893185208 Henry Cohn, 2026, needs more optimization.
12 353 0.431000516024 Henry Cohn, 2026, needs more optimization.
12 354 0.431034104104 Henry Cohn, 2026, needs more optimization.
12 355 0.432510713644 Henry Cohn, 2026, needs more optimization.
12 356 0.433699131920 Henry Cohn, 2026, needs more optimization.
12 357 0.434755929356 Henry Cohn, 2026, needs more optimization.
12 358 0.436143682281 Henry Cohn, 2026, needs more optimization.
12 359 0.437296345869 Henry Cohn, 2026, needs more optimization.
12 360 0.437787072713 Henry Cohn, 2026, needs more optimization.
12 361 0.438591342807 Henry Cohn, 2026, needs more optimization.
12 362 0.439467795150 Henry Cohn, 2026, needs more optimization.
12 363 0.440269962615 Henry Cohn, 2026, needs more optimization.
12 364 0.440646337267 Henry Cohn, 2026, needs more optimization.
12 365 0.441375695003 Henry Cohn, 2026, needs more optimization.
12 366 0.441416330929 Henry Cohn, 2026, needs more optimization.
12 367 0.441659829047 Henry Cohn, 2026, needs more optimization.
12 368 0.441712971067 Henry Cohn, 2026, needs more optimization.
12 369 0.441785771570 Robert Dallara, 2026.
12 370 0.442063661803 Henry Cohn, 2026, needs more optimization.
12 371 0.442367443877 Henry Cohn, 2026, needs more optimization.
12 372 0.442433063590 Henry Cohn, 2026, needs more optimization.
12 373 0.442532755470 Henry Cohn, 2026, needs more optimization.
12 374 0.442932082018 Henry Cohn, 2026, needs more optimization.
12 375 0.443331353758 Henry Cohn, 2026, needs more optimization.
12 408 0.444444444445 M. Ganzhinov and P. R. J. Östergård, Spherical codes with prescribed signed permutation automorphisms inside shells of low-dimensional integer lattices, IEEE Trans. Inform. Theory 70 (2024), 8669–8674, doi:10.1109/tit.2024.3462593, arXiv:2403.04330.
9⁢x−4
12 409 0.447146015272 Henry Cohn, 2026, needs more optimization.
12 410 0.447927221251 Henry Cohn, 2026, needs more optimization.
12 411 0.448614437203 Henry Cohn, 2026, needs more optimization.
12 412 0.449177209454 Henry Cohn, 2026, needs more optimization.
12 413 0.450127441800 Henry Cohn, 2026, needs more optimization.
12 414 0.450139357821 Henry Cohn, 2026, needs more optimization.
12 415 0.450175037123 Henry Cohn, 2026, needs more optimization.
12 416 0.450350612040 Henry Cohn, 2026, needs more optimization.
12 417 0.450647727317 Henry Cohn, 2026, needs more optimization.
12 418 0.450927541691 Henry Cohn, 2026, needs more optimization.
12 419 0.451165600331 Henry Cohn, 2026, needs more optimization.
12 420 0.451467845750 Henry Cohn, 2026, needs more optimization.
12 421 0.451743720816 Henry Cohn, 2026, needs more optimization.
12 422 0.452043972632 Henry Cohn, 2026, needs more optimization.
12 423 0.452511541264 Henry Cohn, 2026, needs more optimization.
12 424 0.456865152604 Henry Cohn, 2026, needs more optimization.
12 425 0.457275732014 Henry Cohn, 2026, needs more optimization.
12 426 0.458828266999 Henry Cohn, 2026, needs more optimization.
12 427 0.461034332845 Henry Cohn, 2026, needs more optimization.
12 428 0.461061775855 Henry Cohn, 2026, needs more optimization.
12 429 0.462327819938 Henry Cohn, 2026, needs more optimization.
12 430 0.462787976731 Henry Cohn, 2026, needs more optimization.
12 431 0.462824150250 Henry Cohn, 2026, needs more optimization.
12 432 0.463001517980 Henry Cohn, 2026, needs more optimization.
12 433 0.463787004237 Henry Cohn, 2026, needs more optimization.
12 434 0.463941609192 Henry Cohn, 2026, needs more optimization.
12 435 0.464549079249 Henry Cohn, 2026, needs more optimization.
12 436 0.464654964735 Henry Cohn, 2026, needs more optimization.
12 437 0.465590024014 Henry Cohn, 2026, needs more optimization.
12 438 0.466347711222 Henry Cohn, 2026, needs more optimization.
12 439 0.466412544638 Henry Cohn, 2026, needs more optimization.
12 440 0.466420402491 Henry Cohn, 2026, needs more optimization.
12 441 0.466520006504 Henry Cohn, 2026, needs more optimization.
12 442 0.466667902981 Henry Cohn, 2026, needs more optimization.
12 443 0.466767421319 Henry Cohn, 2026, needs more optimization.
12 444 0.466838948874 Henry Cohn, 2026, needs more optimization.
12 445 0.467481883528 Henry Cohn, 2026, needs more optimization.
12 446 0.467547018600 Henry Cohn, 2026, needs more optimization.
12 447 0.467789714931 Henry Cohn, 2026, needs more optimization.
12 448 0.467957602598 Henry Cohn, 2026, needs more optimization.
12 449 0.468542042049 Henry Cohn, 2026, needs more optimization.
12 450 0.468599675397 Henry Cohn, 2026, needs more optimization.
12 451 0.468746198439 Henry Cohn, 2026, needs more optimization.
12 452 0.468777440984 Henry Cohn, 2026, needs more optimization.
12 453 0.468843577541 Henry Cohn, 2026, needs more optimization.
12 454 0.469162419965 Henry Cohn, 2026, needs more optimization.
12 455 0.469243995348 Henry Cohn, 2026, needs more optimization.
12 456 0.469274613436 Henry Cohn, 2026, needs more optimization.
12 457 0.469574121502 Henry Cohn, 2026, needs more optimization.
12 458 0.469994170489 Henry Cohn, 2026, needs more optimization.
12 459 0.470101111393 Henry Cohn, 2026, needs more optimization.
12 460 0.470284005925 Henry Cohn, 2026, needs more optimization.
12 462 0.470351065333 Robert Dallara, 2026.
12 463 0.470759488683 Henry Cohn, 2026, needs more optimization.
12 464 0.471168844029 Henry Cohn, 2026, needs more optimization.
12 465 0.471246876192 Henry Cohn, 2026, needs more optimization.
12 466 0.471613199141 Henry Cohn, 2026, needs more optimization.
12 467 0.472117921195 Henry Cohn, 2026, needs more optimization.
12 468 0.472309813256 Henry Cohn, 2026, needs more optimization.
12 469 0.472484133472 Henry Cohn, 2026, needs more optimization.
12 470 0.472535192949 Henry Cohn, 2026, needs more optimization.
12 471 0.472609528062 Henry Cohn, 2026, needs more optimization.
12 472 0.472801357852 Henry Cohn, 2026, needs more optimization.
12 473 0.472812296961 Henry Cohn, 2026, needs more optimization.
12 474 0.472898905335 Henry Cohn, 2026, needs more optimization.
12 475 0.472994368485 Henry Cohn, 2026, needs more optimization.
12 476 0.473070160334 Henry Cohn, 2026, needs more optimization.
12 477 0.473213774108 Henry Cohn, 2026, needs more optimization.
12 478 0.473498946293 Henry Cohn, 2026, needs more optimization.
12 479 0.473614825138 Henry Cohn, 2026, needs more optimization.
12 480 0.473948350232 Henry Cohn, 2026, needs more optimization.
12 481 0.473956877335 Henry Cohn, 2026, needs more optimization.
12 482 0.474321847863 Henry Cohn, 2026, needs more optimization.
12 483 0.474341490314 Henry Cohn, 2026, needs more optimization.
12 484 0.474663577513 Henry Cohn, 2026, needs more optimization.
12 485 0.474719103764 Henry Cohn, 2026, needs more optimization.
12 486 0.474836703716 Henry Cohn, 2026, needs more optimization.
12 487 0.474982770250 Henry Cohn, 2026, needs more optimization.
12 488 0.475227656106 Henry Cohn, 2026, needs more optimization.
12 489 0.475976767436 Henry Cohn, 2026, needs more optimization.
12 490 0.476004069601 Henry Cohn, 2026, needs more optimization.
12 491 0.476105739704 Henry Cohn, 2026, needs more optimization.
12 492 0.476232868643 Henry Cohn, 2026, needs more optimization.
12 493 0.476382163780 Henry Cohn, 2026, needs more optimization.
12 494 0.476540760976 Henry Cohn, 2026, needs more optimization.
12 495 0.476697105579 Henry Cohn, 2026, needs more optimization.
12 496 0.476739848897 Henry Cohn, 2026, needs more optimization.
12 497 0.476912516446 Henry Cohn, 2026, needs more optimization.
12 498 0.476929673672 Henry Cohn, 2026, needs more optimization.
12 499 0.477019672609 Henry Cohn, 2026, needs more optimization.
12 501 0.477282244448 Robert Dallara, 2026.
12 502 0.477683675401 Henry Cohn, 2026, needs more optimization.
12 503 0.477804352115 Henry Cohn, 2026, needs more optimization.
12 504 0.478165717551 Henry Cohn, 2026, needs more optimization.
12 505 0.478464412044 Henry Cohn, 2026, needs more optimization.
12 506 0.478480975261 Henry Cohn, 2026, needs more optimization.
12 507 0.478767476872 Henry Cohn, 2026, needs more optimization.
12 508 0.478879506350 Henry Cohn, 2026, needs more optimization.
12 509 0.479079582826 Henry Cohn, 2026, needs more optimization.
12 510 0.479099207102 Henry Cohn, 2026, needs more optimization.
12 511 0.479137292166 Henry Cohn, 2026, needs more optimization.
12 512 0.479520177531 Henry Cohn, 2026, needs more optimization.
12 513 0.479700137608 Henry Cohn, 2026, needs more optimization.
12 514 0.479775677812 Henry Cohn, 2026, needs more optimization.
12 515 0.479889945477 Henry Cohn, 2026, needs more optimization.
12 516 0.479925979414 Henry Cohn, 2026, needs more optimization.
12 517 0.480061866681 Henry Cohn, 2026, needs more optimization.
12 518 0.480158570904 Henry Cohn, 2026, needs more optimization.
12 519 0.480424824851 Henry Cohn, 2026, needs more optimization.
12 520 0.480533922364 Henry Cohn, 2026, needs more optimization.
12 521 0.481138272966 Henry Cohn, 2026, needs more optimization.
12 522 0.481211579781 Henry Cohn, 2026, needs more optimization.
12 523 0.481352515014 Henry Cohn, 2026, needs more optimization.
12 524 0.481404481592 Henry Cohn, 2026, needs more optimization.
12 525 0.481598588161 Henry Cohn, 2026, needs more optimization.
12 526 0.481769803236 Henry Cohn, 2026, needs more optimization.
12 527 0.481857117302 Henry Cohn, 2026, needs more optimization.
12 528 0.481996377987 Henry Cohn, 2026, needs more optimization.
12 529 0.482178013495 Henry Cohn, 2026, needs more optimization.
12 531 0.482212687848 Uploaded by anonymous internet user, 2026.
12 532 0.482564934645 Henry Cohn, 2026, needs more optimization.
12 533 0.482692117138 Henry Cohn, 2026, needs more optimization.
12 534 0.482746350332 Henry Cohn, 2026, needs more optimization.
12 535 0.482901060795 Henry Cohn, 2026, needs more optimization.
12 536 0.483030815454 Henry Cohn, 2026, needs more optimization.
12 537 0.483093289832 Henry Cohn, 2026, needs more optimization.
12 538 0.483221830783 Henry Cohn, 2026, needs more optimization.
12 539 0.483378463157 Henry Cohn, 2026, needs more optimization.
12 540 0.483444410946 Henry Cohn, 2026, needs more optimization.
12 541 0.483496486704 Henry Cohn, 2026, needs more optimization.
12 542 0.483650508836 Henry Cohn, 2026, needs more optimization.
12 543 0.483799384445 Henry Cohn, 2026, needs more optimization.
12 544 0.483881066023 Henry Cohn, 2026, needs more optimization.
12 545 0.483951730986 Henry Cohn, 2026, needs more optimization.
12 546 0.484044805290 Henry Cohn, 2026, needs more optimization.
12 547 0.484339403931 Henry Cohn, 2026, needs more optimization.
12 548 0.484585942774 Henry Cohn, 2026, needs more optimization.
12 549 0.484840255242 Henry Cohn, 2026, needs more optimization.
12 550 0.484980610239 Henry Cohn, 2026, needs more optimization.
12 551 0.485174189941 Henry Cohn, 2026, needs more optimization.
12 552 0.485305151699 Henry Cohn, 2026, needs more optimization.
12 553 0.485357245534 Henry Cohn, 2026, needs more optimization.
12 554 0.485573179304 Henry Cohn, 2026, needs more optimization.
12 555 0.485663271556 Henry Cohn, 2026, needs more optimization.
12 556 0.485706281433 Henry Cohn, 2026, needs more optimization.
12 557 0.485816402280 Henry Cohn, 2026, needs more optimization.
12 558 0.485924501477 Henry Cohn, 2026, needs more optimization.
12 559 0.486089594506 Henry Cohn, 2026, needs more optimization.
12 560 0.486177588684 Henry Cohn, 2026, needs more optimization.
12 561 0.486273099639 Henry Cohn, 2026, needs more optimization.
12 562 0.486315038610 Henry Cohn, 2026, needs more optimization.
12 563 0.486509755811 Henry Cohn, 2026, needs more optimization.
12 564 0.486579607673 Henry Cohn, 2026, needs more optimization.
12 565 0.486656915666 Henry Cohn, 2026, needs more optimization.
12 566 0.486739042624 Henry Cohn, 2026, needs more optimization.
12 567 0.486788172411 Henry Cohn, 2026, needs more optimization.
12 568 0.486971831425 Henry Cohn, 2026, needs more optimization.
12 569 0.487087738483 Henry Cohn, 2026, needs more optimization.
12 570 0.487246013633 Henry Cohn, 2026, needs more optimization.
12 571 0.487376744926 Henry Cohn, 2026, needs more optimization.
12 572 0.487470895594 Henry Cohn, 2026, needs more optimization.
12 573 0.487552500073 Henry Cohn, 2026, needs more optimization.
12 574 0.487640808423 Henry Cohn, 2026, needs more optimization.
12 575 0.487706377262 Henry Cohn, 2026, needs more optimization.
12 576 0.487733160475 Henry Cohn, 2026, needs more optimization.
12 577 0.487967718224 Henry Cohn, 2026, needs more optimization.
12 578 0.488174877102 Henry Cohn, 2026, needs more optimization.
12 579 0.488252723457 Henry Cohn, 2026, needs more optimization.
12 580 0.488291859999 Henry Cohn, 2026, needs more optimization.
12 581 0.488318062135 Henry Cohn, 2026, needs more optimization.
12 582 0.488342342748 Henry Cohn, 2026, needs more optimization.
12 583 0.488407568068 Henry Cohn, 2026, needs more optimization.
12 584 0.488463469336 Henry Cohn, 2026, needs more optimization.
12 585 0.488588748088 Henry Cohn, 2026, needs more optimization.
12 586 0.488669810577 Henry Cohn, 2026, needs more optimization.
12 587 0.488735095907 Henry Cohn, 2026, needs more optimization.
12 588 0.488884345214 Henry Cohn, 2026, needs more optimization.
12 589 0.488950625109 Henry Cohn, 2026, needs more optimization.
12 590 0.489085972636 Henry Cohn, 2026, needs more optimization.
12 591 0.489142890308 Henry Cohn, 2026, needs more optimization.
12 592 0.489204639000 Henry Cohn, 2026, needs more optimization.
12 593 0.489321922804 Henry Cohn, 2026, needs more optimization.
12 594 0.489368213324 Henry Cohn, 2026, needs more optimization.
12 595 0.489504833287 Henry Cohn, 2026, needs more optimization.
12 596 0.489527683665 Henry Cohn, 2026, needs more optimization.
12 597 0.489542204380 Henry Cohn, 2026, needs more optimization.
12 598 0.489553250666 Henry Cohn, 2026, needs more optimization.
12 599 0.489570912852 Henry Cohn, 2026, needs more optimization.
12 600 0.489606446919 Henry Cohn, 2026, needs more optimization.
12 601 0.489886894977 Henry Cohn, 2026, needs more optimization.
12 602 0.489957298998 Henry Cohn, 2026, needs more optimization.
12 603 0.490095046832 Henry Cohn, 2026, needs more optimization.
12 604 0.490190059179 Henry Cohn, 2026, needs more optimization.
12 605 0.490269409432 Henry Cohn, 2026, needs more optimization.
12 606 0.490336463498 Henry Cohn, 2026, needs more optimization.
12 607 0.490462707436 Henry Cohn, 2026, needs more optimization.
12 608 0.490481842483 Henry Cohn, 2026, needs more optimization.
12 609 0.490532193097 Henry Cohn, 2026, needs more optimization.
12 610 0.490597363326 Henry Cohn, 2026, needs more optimization.
12 611 0.490684822249 Henry Cohn, 2026, needs more optimization.
12 612 0.490701788367 Henry Cohn, 2026, needs more optimization.
12 613 0.490898536298 Henry Cohn, 2026, needs more optimization.
12 614 0.490937558450 Henry Cohn, 2026, needs more optimization.
12 615 0.491014952501 Henry Cohn, 2026, needs more optimization.
12 616 0.491189933426 Henry Cohn, 2026, needs more optimization.
12 617 0.491316568539 Henry Cohn, 2026, needs more optimization.
12 618 0.491403940847 Henry Cohn, 2026, needs more optimization.
12 619 0.491419863162 Henry Cohn, 2026, needs more optimization.
12 620 0.491571513499 Henry Cohn, 2026, needs more optimization.
12 621 0.491650710653 Henry Cohn, 2026, needs more optimization.
12 622 0.491714100140 Henry Cohn, 2026, needs more optimization.
12 623 0.491745446521 Henry Cohn, 2026, needs more optimization.
12 624 0.491799904248 Henry Cohn, 2026, needs more optimization.
12 625 0.491851336249 Henry Cohn, 2026, needs more optimization.
12 626 0.491910697007 Henry Cohn, 2026, needs more optimization.
12 627 0.491950888094 Henry Cohn, 2026, needs more optimization.
12 628 0.492032475509 Henry Cohn, 2026, needs more optimization.
12 629 0.492052938113 Henry Cohn, 2026, needs more optimization.
12 630 0.492087251476 Henry Cohn, 2026, needs more optimization.
12 631 0.492142648651 Henry Cohn, 2026, needs more optimization.
12 632 0.492156260762 Henry Cohn, 2026, needs more optimization.
12 633 0.492158889995 Henry Cohn, 2026, needs more optimization.
12 634 0.492210925675 Henry Cohn, 2026, needs more optimization.
12 635 0.492308085115 Henry Cohn, 2026, needs more optimization.
12 636 0.492350061936 Henry Cohn, 2026, needs more optimization.
12 637 0.492373203860 Henry Cohn, 2026, needs more optimization.
12 638 0.492376819608 Henry Cohn, 2026, needs more optimization.
12 639 0.492428082818 Henry Cohn, 2026, needs more optimization.
12 640 0.492492111961 Henry Cohn, 2026, needs more optimization.
12 642 0.492523427771 Henry Cohn, 2026, needs more optimization.
12 643 0.492547310675 Henry Cohn, 2026, needs more optimization.
12 644 0.492657147292 Henry Cohn, 2026, needs more optimization.
12 645 0.492707690167 Henry Cohn, 2026, needs more optimization.
12 646 0.492757783920 Henry Cohn, 2026, needs more optimization.
12 647 0.492853290968 Henry Cohn, 2026, needs more optimization.
12 648 0.493225821611 Henry Cohn, 2026, needs more optimization.
12 649 0.493305880020 Henry Cohn, 2026, needs more optimization.
12 650 0.493331897271 Henry Cohn, 2026, needs more optimization.
12 651 0.493391818272 Henry Cohn, 2026, needs more optimization.
12 652 0.493414677018 Henry Cohn, 2026, needs more optimization.
12 653 0.493456291964 Henry Cohn, 2026, needs more optimization.
12 654 0.493464195347 Henry Cohn, 2026, needs more optimization.
12 655 0.493581031514 Henry Cohn, 2026, needs more optimization.
12 656 0.493608576851 Henry Cohn, 2026, needs more optimization.
12 657 0.493627243362 Henry Cohn, 2026, needs more optimization.
12 658 0.493746607931 Henry Cohn, 2026, needs more optimization.
12 659 0.493790182792 Henry Cohn, 2026, needs more optimization.
12 660 0.493819948517 Henry Cohn, 2026, needs more optimization.
12 661 0.493872164226 Henry Cohn, 2026, needs more optimization.
12 662 0.493926706729 Henry Cohn, 2026, needs more optimization.
12 663 0.493967642188 Henry Cohn, 2026, needs more optimization.
12 664 0.494073891438 Henry Cohn, 2026, needs more optimization.
12 665 0.494216903636 Henry Cohn, 2026, needs more optimization.
12 666 0.494266778089 Henry Cohn, 2026, needs more optimization.
12 667 0.494297724370 Henry Cohn, 2026, needs more optimization.
12 668 0.494333543678 Henry Cohn, 2026, needs more optimization.
12 669 0.494382205795 Henry Cohn, 2026, needs more optimization.
12 670 0.494519589536 Henry Cohn, 2026, needs more optimization.
12 671 0.494558055895 Henry Cohn, 2026, needs more optimization.
12 672 0.494615435567 Henry Cohn, 2026, needs more optimization.
12 673 0.494657360012 Henry Cohn, 2026, needs more optimization.
12 674 0.494664539117 Henry Cohn, 2026, needs more optimization.
12 675 0.494675352036 Henry Cohn, 2026, needs more optimization.
12 676 0.494681270008 Henry Cohn, 2026, needs more optimization.
12 677 0.494703057786 Henry Cohn, 2026, needs more optimization.
12 678 0.494724865260 Henry Cohn, 2026, needs more optimization.
12 679 0.494813839602 Henry Cohn, 2026, needs more optimization.
12 680 0.494849053814 Henry Cohn, 2026, needs more optimization.
12 681 0.494892476206 Henry Cohn, 2026, needs more optimization.
12 682 0.494992762633 Henry Cohn, 2026, needs more optimization.
12 683 0.495068793847 Henry Cohn, 2026, needs more optimization.
12 684 0.495092803543 Henry Cohn, 2026, needs more optimization.
12 685 0.495104221458 Henry Cohn, 2026, needs more optimization.
12 686 0.495125525390 Henry Cohn, 2026, needs more optimization.
12 687 0.495148955679 Henry Cohn, 2026, needs more optimization.
12 688 0.495231111609 Henry Cohn, 2026, needs more optimization.
12 689 0.495306390790 Henry Cohn, 2026, needs more optimization.
12 690 0.495364528176 Henry Cohn, 2026, needs more optimization.
12 691 0.495423517652 Henry Cohn, 2026, needs more optimization.
12 692 0.495454953110 Henry Cohn, 2026, needs more optimization.
12 693 0.495521919803 Henry Cohn, 2026, needs more optimization.
12 694 0.495536328599 Henry Cohn, 2026, needs more optimization.
12 695 0.495564194243 Henry Cohn, 2026, needs more optimization.
12 696 0.495585988750 Henry Cohn, 2026, needs more optimization.
12 697 0.495631906049 Henry Cohn, 2026, needs more optimization.
12 698 0.495660925022 Henry Cohn, 2026, needs more optimization.
12 700 0.495716303506 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 701 0.495719312675 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 702 0.495720118270 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 703 0.495722806784 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 704 0.495727692869 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 705 0.495733765396 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 706 0.495735219613 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 707 0.495735876223 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 708 0.495740262437 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 709 0.495741552238 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 710 0.495743411814 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 711 0.495753542020 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 712 0.495761907422 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 713 0.495792674827 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 714 0.495806186906 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 715 0.495807751126 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 716 0.495810003933 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 717 0.495814942338 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 718 0.495816897442 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 719 0.495820140338 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 720 0.495830099702 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 721 0.495834638155 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 722 0.495837218069 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 723 0.495839104060 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 724 0.495839684117 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 725 0.495847365106 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 726 0.495847895544 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 727 0.495856658074 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 728 0.495859151565 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 729 0.495877691454 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 730 0.495883667288 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 731 0.495887414613 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 732 0.495887419626 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 733 0.495887549812 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 734 0.495890504912 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 747 0.495890987014 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 748 0.495893183533 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 749 0.495893725420 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 750 0.495895972259 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 751 0.495898478507 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 752 0.495900120643 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 753 0.495900973093 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 754 0.495901815904 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 755 0.495902297077 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 756 0.495903394176 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 758 0.495904276715 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 759 0.495905855364 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 760 0.495909962334 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 761 0.495911883629 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 762 0.495912967389 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 763 0.495914549890 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 764 0.495916190443 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 765 0.495917089852 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 766 0.495918060991 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 767 0.495919992244 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 768 0.495921007480 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 770 0.495928459408 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 771 0.495928620573 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 772 0.495929228813 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 773 0.495929539377 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 774 0.495930630055 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 775 0.495930884561 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 776 0.495934624622 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 777 0.495939445945 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 778 0.495942599211 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 779 0.495943229358 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 780 0.495947077664 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 781 0.495964157916 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 782 0.495973819314 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 783 0.496027291378 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 784 0.496031184562 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 785 0.496033902247 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 786 0.496036264975 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 787 0.496042499682 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 788 0.496045837586 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 789 0.496049728678 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 790 0.496050391206 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 791 0.496052860521 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 792 0.496113131743 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 793 0.496171870769 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 794 0.496185669522 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 795 0.496193580026 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 796 0.496196975717 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 797 0.496198047690 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 798 0.496198551966 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 799 0.496638406062 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 800 0.496681970826 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 801 0.497243295431 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 802 0.497272936007 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 803 0.497404059695 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 804 0.497711061180 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 805 0.497752304100 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 806 0.497884517896 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 807 0.498049149659 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 808 0.498061992020 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 809 0.498092386988 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 810 0.498277634091 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 811 0.498335240352 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 812 0.498343222964 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 813 0.498352517608 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 814 0.498360740405 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 815 0.498362057534 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 816 0.498394986010 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 817 0.498401219584 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 818 0.498406984175 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 819 0.498412793942 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 820 0.498441420377 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 821 0.498443401191 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 822 0.498447907548 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 823 0.498450154574 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 824 0.498455656538 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 825 0.498475210477 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 826 0.498497511689 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 827 0.498505656942 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 828 0.498515855744 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 829 0.498520530078 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 830 0.498649167924 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 831 0.498695679609 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 832 0.498764703918 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 833 0.498771690167 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 834 0.498840424247 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 835 0.498866497189 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 836 0.498873906967 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 837 0.498896861768 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 838 0.498950215865 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 839 0.498954599906 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 840 0.499711582800 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 841 0.499999937579 Henry Cohn, 2026, needs more optimization.
12 842 0.500899990718 Henry Cohn, 2026, needs more optimization.
12 843 0.503237075349 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 844 0.504401012175 Henry Cohn, 2026, needs more optimization.
12 845 0.505905064596 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 846 0.506628789902 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 847 0.507513825954 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 848 0.508301607948 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 849 0.508582934281 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 850 0.509816206998 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 851 0.510751954758 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 852 0.511401014313 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 853 0.512508193831 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 854 0.512795139707 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 855 0.513201784080 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 856 0.513806622731 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 857 0.514376584743 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 858 0.514739854384 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 859 0.514742249919 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 860 0.514742628853 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 861 0.514994485626 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 862 0.514995042729 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 863 0.514995538635 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 864 0.514995911586 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 865 0.515542568718 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 866 0.515542575306 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 867 0.515542592483 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 868 0.515542612580 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 869 0.515596834609 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 870 0.515596845331 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 871 0.515596897096 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 872 0.516110100543 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 873 0.517042927338 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 874 0.517045497975 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 875 0.517194714101 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 876 0.517195071874 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 877 0.517195968361 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 878 0.517196232266 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 879 0.517196509095 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 880 0.517196576136 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 881 0.517710171615 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 882 0.517763818574 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 883 0.519496762025 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 884 0.521633821758 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 885 0.522329703069 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 886 0.522529017022 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 887 0.522580713444 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 888 0.522921491505 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 889 0.523055729818 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 890 0.523200092836 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 891 0.523832336824 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 894 0.523927335313 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 897 0.524003232922 Robert Dallara, 2026.
12 898 0.524341681184 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 899 0.524392486984 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 900 0.524560375054 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 902 0.525300029186 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 903 0.525306328181 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 904 0.525306465515 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 905 0.525803408049 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 906 0.525925124690 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 907 0.526598159178 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 908 0.526829191895 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 909 0.526891363151 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 910 0.527008546228 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 911 0.527082521310 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 912 0.527241931837 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 913 0.527328723178 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 919 0.527426736166 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 920 0.527887857670 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 921 0.528123036173 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 922 0.528153831615 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 923 0.528217885278 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 925 0.528236524654 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 926 0.528253081172 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 927 0.528313998937 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 928 0.528327838024 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 929 0.528334905171 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 930 0.528350069434 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 931 0.528361461889 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 932 0.528918265964 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 933 0.529113514491 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 934 0.529462118014 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 935 0.529529658153 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 936 0.529575703734 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 937 0.529604557176 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 938 0.529879555674 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 939 0.530577461258 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 940 0.530652074199 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 941 0.531052056506 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 942 0.531285310124 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 943 0.531654252787 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 944 0.531852921228 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 945 0.532270081051 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 947 0.533496937715 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 948 0.533661675463 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 949 0.533695397725 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 950 0.533714776622 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 951 0.533778422210 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 952 0.533849321052 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 954 0.534149514526 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 955 0.534404509073 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 956 0.534428549125 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 957 0.534812058457 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 958 0.534982374234 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 959 0.535326251302 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 960 0.535349563307 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 961 0.535899003584 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 962 0.536186135615 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 963 0.536278162757 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 964 0.536477243962 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 965 0.536716617264 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 966 0.537176952632 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 967 0.537215216043 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 968 0.537459313519 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 969 0.537598901831 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 970 0.537762789888 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 971 0.538381832141 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 972 0.538400397359 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 973 0.538471472939 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 974 0.538792806027 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 975 0.538933904906 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 976 0.538942990429 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 977 0.539009716854 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 978 0.539142483726 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 979 0.539215883731 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 980 0.539292130021 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 981 0.539377939373 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 982 0.539712860102 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 983 0.539826737191 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 984 0.539924699087 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 985 0.540073065405 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 986 0.540143505669 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 987 0.541000373123 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 988 0.541115087625 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 990 0.541218158669 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 991 0.541339080243 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 992 0.541496760733 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 993 0.541605687417 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 994 0.541727866817 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 995 0.541783057094 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 996 0.541878333730 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 997 0.541984267572 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 998 0.542102854711 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 1024 0.546918160679 Kevin Li, 2026.
7⁢x2−2⁢x−1
13 27 0.057072523783 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
1573⁢x3−169⁢x2−13⁢x+1
13 28 0.066666666667 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
15⁢x−1
13 29 0.068098609479 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
2576⁢x4−640⁢x3−184⁢x2+1
13 30 0.071714034728 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
55⁢x2+10⁢x−1
13 31 0.071714034728 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
55⁢x2+10⁢x−1
13 32 0.071714034728 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
55⁢x2+10⁢x−1
13 33 0.089833578043 Henry Cohn, 2026.
13 34 0.090095382331 Henry Cohn, 2023.
13 36 0.092610094433 H. Cohn, D. de Laat, and N. Leijenhorst, Optimality of spherical codes via exact semidefinite programming bounds, preprint, 2024, arXiv:2403.16874.
95⁢x2+2⁢x−1
13 37 0.111409136725 Henry Cohn, 2023.
13 38 0.112004618870 Henry Cohn, 2023.
44⁢x2+4⁢x−1
13 39 0.116893063508 Henry Cohn, 2024.
13 40 0.121353571480 Henry Cohn, 2026.
13 41 0.124055818526 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 42 0.125 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
8⁢x−1
13 44 0.126079252818 Henry Cohn, 2025.
6095⁢x2−126⁢x−81
13 48 0.126131983623 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
47⁢x2+2⁢x−1
13 49 0.141095436175 Henry Cohn, 2025.
13 50 0.142459427551 Henry Cohn, 2023.
Minimal polynomial listed in plain text data
13 51 0.145120831484 Henry Cohn, 2023.
Minimal polynomial listed in plain text data
13 52 0.147159522238 Henry Cohn, 2023.
613567⁢x7+96585⁢x6−98333⁢x5−8219⁢x4+381⁢x3+539⁢x2+33⁢x−9
13 53 0.147908231498 Henry Cohn, 2026.
13 54 0.148576022240 Henry Cohn, 2025.
13 55 0.148805252884 Henry Cohn, 2024.
13 56 0.148975682089 Henry Cohn, 2023.
13 57 0.166162190421 Henry Cohn, 2024.
13 60 0.171378280884 Luke Granto, 2026.
1196⁢x4−1428⁢x3+411⁢x2+18⁢x−9
13 61 0.177734972495 Henry Cohn, 2026, needs more optimization.
13 62 0.179872103330 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 66 0.180076545649 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
197541⁢x6−1327980⁢x5+842815⁢x4+93800⁢x3−58725⁢x2+500⁢x+625
13 67 0.183425281073 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 68 0.185161141336 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6⁢x3+283⁢x2−4⁢x−9
13 69 0.192954195111 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 70 0.201822978078 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 71 0.204507858381 Henry Cohn, 2026, needs more optimization.
13 72 0.205422584282 Henry Cohn, 2026, needs more optimization.
13 73 0.207434422294 Henry Cohn, 2026, needs more optimization.
13 74 0.208757519086 Luke Granto, 2026.
13 75 0.209830747287 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 76 0.210889671670 Henry Cohn, 2026, needs more optimization.
13 77 0.211602349074 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 84 0.214312873432 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
156001⁢x4−83068⁢x3+2534⁢x2+1732⁢x+1
13 85 0.222890239859 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 86 0.227472980930 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 87 0.233420853413 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 88 0.234760407328 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 89 0.237891400437 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 90 0.241063934686 Luke Granto, 2026.
13 91 0.241934021280 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 92 0.242876105918 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 93 0.243647773116 Luke Granto, 2026.
13 94 0.244075595625 Luke Granto, 2026.
13 95 0.244179109624 Luke Granto, 2026.
13 96 0.244263638141 Luke Granto, 2026.
13 97 0.244358041009 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 98 0.244461920573 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 99 0.244891665742 Luke Granto, 2026.
13 100 0.246669288331 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 101 0.249341456786 Henry Cohn, 2026.
13 104 0.25 J. H. Conway, R. H. Hardin, and N. J. A. Sloane, Packing lines, planes, etc.: packings in Grassmannian spaces, Experiment. Math. 5 (1996), 139–159, https://projecteuclid.org/euclid.em/1047565645; T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
4⁢x−1
13 106 0.251575083557 Henry Cohn, 2026.
1031⁢x2−160⁢x−25
13 107 0.257276958698 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 108 0.258154822753 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 109 0.258529012806 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 110 0.258944353457 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 111 0.259510876672 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 112 0.260459144444 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 113 0.261281420324 Henry Cohn, 2026, needs more optimization.
13 114 0.263092922077 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 115 0.264237646845 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 116 0.265769989214 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 117 0.267439833565 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 118 0.269171781398 Henry Cohn, 2026, needs more optimization.
13 119 0.270144839056 Henry Cohn, 2026, needs more optimization.
13 120 0.271249760569 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 121 0.271315922618 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 122 0.272064331263 Henry Cohn, 2026, needs more optimization.
13 123 0.272084584529 Henry Cohn, 2026, needs more optimization.
13 124 0.275380071346 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 125 0.276023194131 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 126 0.276187994415 Henry Cohn, 2026, needs more optimization.
13 127 0.278054981686 Henry Cohn, 2026, needs more optimization.
13 128 0.280092090981 Henry Cohn, 2026, needs more optimization.
13 129 0.282303049791 Henry Cohn, 2026, needs more optimization.
13 130 0.284582451163 Henry Cohn, 2026, needs more optimization.
13 131 0.285532993433 Henry Cohn, 2026, needs more optimization.
13 132 0.285875352542 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 133 0.286588654159 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 134 0.287963305947 Henry Cohn, 2026, needs more optimization.
13 135 0.289059498426 Henry Cohn, 2026, needs more optimization.
13 136 0.289763008880 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 137 0.290794448960 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 138 0.291248136063 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 139 0.291298832564 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 140 0.294819761640 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 141 0.295463243126 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 142 0.296142896294 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 154 0.296449269170 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
183325⁢x4−90460⁢x3+8458⁢x2+636⁢x+9
13 176 0.299119474480 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
49⁢x2−18⁢x+1
13 177 0.302065124750 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 178 0.306230260571 Henry Cohn, 2026, needs more optimization.
13 179 0.308319827441 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 180 0.312086201729 Henry Cohn, 2026, needs more optimization.
13 181 0.312668174957 Henry Cohn, 2026, needs more optimization.
13 182 0.313067078231 Henry Cohn, 2026, needs more optimization.
13 183 0.313846368965 Henry Cohn, 2026, needs more optimization.
13 184 0.314521988486 Henry Cohn, 2026, needs more optimization.
13 185 0.315686765952 Henry Cohn, 2026, needs more optimization.
13 186 0.317043457377 Henry Cohn, 2026, needs more optimization.
13 187 0.318390703032 Henry Cohn, 2026, needs more optimization.
13 188 0.320224821555 Henry Cohn, 2026, needs more optimization.
13 189 0.321018174136 Henry Cohn, 2026, needs more optimization.
13 190 0.322669885822 Henry Cohn, 2026, needs more optimization.
13 191 0.325026038009 Henry Cohn, 2026, needs more optimization.
13 192 0.327072074224 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 193 0.327412197244 Henry Cohn, 2026, needs more optimization.
13 194 0.327612926328 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 195 0.327699721211 Henry Cohn, 2026, needs more optimization.
13 196 0.327953246379 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 197 0.328231571972 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 198 0.328497512673 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 199 0.328793304095 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 200 0.328886220832 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 201 0.329094065372 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 202 0.329150216336 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 203 0.331688526164 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 208 0.333333333334 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
3⁢x−1
13 209 0.339851756282 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 210 0.340650446016 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 211 0.342822992176 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 212 0.343240085348 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 213 0.343248434239 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 214 0.343250007197 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 215 0.343257191106 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 216 0.343266349722 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 217 0.343268572808 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 218 0.343285757885 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 219 0.344395594904 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 220 0.346073882890 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 221 0.349465928624 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 222 0.353037108766 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 223 0.358789771046 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 224 0.359154379350 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 225 0.359294983427 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 226 0.362861653608 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 227 0.363646196076 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 228 0.364489212037 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 229 0.365491735271 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 230 0.365968457694 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 231 0.366950467054 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 232 0.367413068185 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 233 0.368378420609 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 240 0.368421052632 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
19⁢x−7
13 248 0.368421052632 Henry Cohn, 2026.
19⁢x−7
13 249 0.371974365566 Henry Cohn, 2026, needs more optimization.
13 250 0.373087290093 Henry Cohn, 2026, needs more optimization.
13 251 0.373774978289 Henry Cohn, 2026, needs more optimization.
13 252 0.375019364117 Henry Cohn, 2026, needs more optimization.
13 253 0.376041495498 Henry Cohn, 2026, needs more optimization.
13 291 0.376384967370 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
23⁢x2−6⁢x−1
13 292 0.380115953220 Henry Cohn, 2026, needs more optimization.
13 293 0.380268417311 Henry Cohn, 2026, needs more optimization.
13 294 0.382297676165 Henry Cohn, 2026, needs more optimization.
13 295 0.383227061968 Henry Cohn, 2026, needs more optimization.
13 296 0.383901531520 Henry Cohn, 2026, needs more optimization.
13 306 0.384615384616 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
13⁢x−5
13 313 0.384615384616 M. Ganzhinov and P. R. J. Östergård, Spherical codes with prescribed signed permutation automorphisms inside shells of low-dimensional integer lattices, IEEE Trans. Inform. Theory 70 (2024), 8669–8674, doi:10.1109/tit.2024.3462593, arXiv:2403.04330.
13⁢x−5
13 314 0.389008087427 Henry Cohn, 2026, needs more optimization.
13 315 0.391819384383 Henry Cohn, 2026, needs more optimization.
13 316 0.393355692698 Henry Cohn, 2026, needs more optimization.
13 317 0.393951272587 Henry Cohn, 2026, needs more optimization.
13 318 0.395056840224 Henry Cohn, 2026, needs more optimization.
13 319 0.396076693900 Henry Cohn, 2026, needs more optimization.
13 320 0.396763414476 Henry Cohn, 2026, needs more optimization.
13 321 0.397875507636 Henry Cohn, 2026, needs more optimization.
13 322 0.398171935205 Henry Cohn, 2026, needs more optimization.
13 336 0.4 M. Ganzhinov and P. R. J. Östergård, Spherical codes with prescribed signed permutation automorphisms inside shells of low-dimensional integer lattices, IEEE Trans. Inform. Theory 70 (2024), 8669–8674, doi:10.1109/tit.2024.3462593, arXiv:2403.04330.
5⁢x−2
13 337 0.4 Henry Cohn, 2026.
5⁢x−2
13 339 0.4 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5⁢x−2
13 340 0.405635558380 Henry Cohn, 2026, needs more optimization.
13 341 0.406799081751 Henry Cohn, 2026, needs more optimization.
13 342 0.406919847715 Henry Cohn, 2026, needs more optimization.
13 343 0.407033884596 Henry Cohn, 2026, needs more optimization.
13 344 0.407228485181 Henry Cohn, 2026, needs more optimization.
13 345 0.407418580311 Henry Cohn, 2026, needs more optimization.
13 346 0.407527926381 Henry Cohn, 2026, needs more optimization.
13 347 0.408502603369 Henry Cohn, 2026, needs more optimization.
13 348 0.408573054730 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 349 0.409025872645 Henry Cohn, 2026, needs more optimization.
13 350 0.409937755605 Henry Cohn, 2026, needs more optimization.
13 351 0.411013164483 Henry Cohn, 2026, needs more optimization.
13 352 0.411767533923 Henry Cohn, 2026, needs more optimization.
13 353 0.412542717079 Henry Cohn, 2026, needs more optimization.
13 354 0.413355243741 Henry Cohn, 2026, needs more optimization.
13 355 0.413989925045 Henry Cohn, 2026, needs more optimization.
13 356 0.414609533126 Henry Cohn, 2026, needs more optimization.
13 357 0.415089795762 Henry Cohn, 2026, needs more optimization.
13 358 0.415642396259 Henry Cohn, 2026, needs more optimization.
13 359 0.416137128256 Henry Cohn, 2026, needs more optimization.
13 360 0.416431424180 Henry Cohn, 2026, needs more optimization.
13 383 0.416666666667 Henry Cohn, 2026.
12⁢x−5
13 384 0.419640429584 Henry Cohn, 2026, needs more optimization.
13 385 0.420754895885 Henry Cohn, 2026, needs more optimization.
13 386 0.421197759309 Henry Cohn, 2026, needs more optimization.
13 387 0.421585173052 Henry Cohn, 2026, needs more optimization.
13 388 0.422308878448 Henry Cohn, 2026, needs more optimization.
13 389 0.423826644435 Henry Cohn, 2026, needs more optimization.
13 390 0.424212501433 Henry Cohn, 2026, needs more optimization.
13 391 0.424689149266 Henry Cohn, 2026, needs more optimization.
13 392 0.425193427712 Henry Cohn, 2026, needs more optimization.
13 393 0.425962387725 Henry Cohn, 2026, needs more optimization.
13 394 0.426549557197 Henry Cohn, 2026, needs more optimization.
13 395 0.427199131406 Henry Cohn, 2026, needs more optimization.
13 396 0.427805091195 Henry Cohn, 2026, needs more optimization.
13 397 0.427861947152 Henry Cohn, 2026, needs more optimization.
13 416 0.428571428572 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
7⁢x−3
13 492 0.428571428572 M. Ganzhinov and P. R. J. Östergård, Spherical codes with prescribed signed permutation automorphisms inside shells of low-dimensional integer lattices, IEEE Trans. Inform. Theory 70 (2024), 8669–8674, doi:10.1109/tit.2024.3462593, arXiv:2403.04330.
7⁢x−3
13 498 0.428571428572 Henry Cohn, 2026.
7⁢x−3
13 499 0.428679829253 Henry Cohn, 2026, needs more optimization.
13 500 0.429496475409 Henry Cohn, 2026, needs more optimization.
13 501 0.429501240552 Henry Cohn, 2026, needs more optimization.
13 502 0.429673373376 Henry Cohn, 2026, needs more optimization.
13 503 0.429681978011 Henry Cohn, 2026, needs more optimization.
13 504 0.429684844186 Henry Cohn, 2026, needs more optimization.
13 505 0.434178062945 Henry Cohn, 2026, needs more optimization.
13 512 0.434225847707 Robert Dallara, 2026.
13 527 0.434251597424 Robert Dallara, 2026.
13 528 0.434283015412 Henry Cohn, 2026, needs more optimization.
13 529 0.434311146222 Henry Cohn, 2026, needs more optimization.
13 530 0.434501338688 Henry Cohn, 2026, needs more optimization.
13 531 0.434531720440 Henry Cohn, 2026, needs more optimization.
13 532 0.434573699480 Henry Cohn, 2026, needs more optimization.
13 533 0.434620765208 Henry Cohn, 2026, needs more optimization.
13 538 0.435549244882 Robert Dallara, 2026.
13 540 0.435549338019 Robert Dallara, 2026.
13 541 0.436195560039 Henry Cohn, 2026, needs more optimization.
13 542 0.436203676485 Henry Cohn, 2026, needs more optimization.
13 543 0.436211675484 Henry Cohn, 2026, needs more optimization.
13 544 0.436267568716 Henry Cohn, 2026, needs more optimization.
13 545 0.436306240750 Henry Cohn, 2026, needs more optimization.
13 546 0.436374500490 Henry Cohn, 2026, needs more optimization.
13 547 0.436603361848 Henry Cohn, 2026, needs more optimization.
13 548 0.437138063707 Henry Cohn, 2026, needs more optimization.
13 549 0.437411078075 Henry Cohn, 2026, needs more optimization.
13 550 0.438455047371 Henry Cohn, 2026, needs more optimization.
13 551 0.438791524294 Henry Cohn, 2026, needs more optimization.
13 552 0.439235314229 Henry Cohn, 2026, needs more optimization.
13 553 0.440469009402 Henry Cohn, 2026, needs more optimization.
13 554 0.441309113313 Henry Cohn, 2026, needs more optimization.
13 555 0.441874690726 Henry Cohn, 2026, needs more optimization.
13 556 0.443341188504 Henry Cohn, 2026, needs more optimization.
13 557 0.444272362074 Henry Cohn, 2026, needs more optimization.
13 558 0.444596973982 Henry Cohn, 2026, needs more optimization.
13 559 0.445155395845 Henry Cohn, 2026, needs more optimization.
13 560 0.445906296890 Henry Cohn, 2026, needs more optimization.
13 561 0.448272207531 Henry Cohn, 2026, needs more optimization.
13 562 0.448570421759 Henry Cohn, 2026, needs more optimization.
13 563 0.448966853430 Henry Cohn, 2026, needs more optimization.
13 564 0.449302912194 Henry Cohn, 2026, needs more optimization.
13 565 0.449589131152 Henry Cohn, 2026, needs more optimization.
13 566 0.449783573585 Henry Cohn, 2026, needs more optimization.
13 567 0.450061472121 Henry Cohn, 2026, needs more optimization.
13 568 0.450433858716 Henry Cohn, 2026, needs more optimization.
13 569 0.450736779942 Henry Cohn, 2026, needs more optimization.
13 570 0.451277019046 Henry Cohn, 2026, needs more optimization.
13 571 0.452008638386 Henry Cohn, 2026, needs more optimization.
13 572 0.452202042057 Henry Cohn, 2026, needs more optimization.
13 573 0.452455580575 Henry Cohn, 2026, needs more optimization.
13 574 0.453007412945 Henry Cohn, 2026, needs more optimization.
13 575 0.453179627018 Henry Cohn, 2026, needs more optimization.
13 576 0.453568434241 Henry Cohn, 2026, needs more optimization.
13 578 0.454545454546 M. Ganzhinov and P. R. J. Östergård, Spherical codes with prescribed signed permutation automorphisms inside shells of low-dimensional integer lattices, IEEE Trans. Inform. Theory 70 (2024), 8669–8674, doi:10.1109/tit.2024.3462593, arXiv:2403.04330.
11⁢x−5
13 579 0.458822409632 Henry Cohn, 2026, needs more optimization.
13 580 0.458825407715 Henry Cohn, 2026, needs more optimization.
13 581 0.458840695864 Henry Cohn, 2026, needs more optimization.
13 582 0.458841200297 Henry Cohn, 2026, needs more optimization.
13 583 0.458852834715 Henry Cohn, 2026, needs more optimization.
13 584 0.458859395332 Henry Cohn, 2026, needs more optimization.
13 585 0.458888200312 Henry Cohn, 2026, needs more optimization.
13 586 0.458912642529 Henry Cohn, 2026, needs more optimization.
13 587 0.459212718291 Henry Cohn, 2026, needs more optimization.
13 591 0.459400602352 Robert Dallara, 2026.
13 592 0.459903538632 Henry Cohn, 2026, needs more optimization.
13 593 0.459974562278 Henry Cohn, 2026, needs more optimization.
13 594 0.461590582262 Henry Cohn, 2026, needs more optimization.
13 595 0.462287329681 Henry Cohn, 2026, needs more optimization.
13 596 0.462992164439 Henry Cohn, 2026, needs more optimization.
13 597 0.463686116893 Henry Cohn, 2026, needs more optimization.
13 598 0.464199578747 Henry Cohn, 2026, needs more optimization.
13 599 0.464691588269 Henry Cohn, 2026, needs more optimization.
13 600 0.465425077287 Henry Cohn, 2026, needs more optimization.
13 601 0.465918340178 Henry Cohn, 2026, needs more optimization.
13 602 0.466218389859 Henry Cohn, 2026, needs more optimization.
13 603 0.466256997785 Henry Cohn, 2026, needs more optimization.
13 604 0.466277367275 Henry Cohn, 2026, needs more optimization.
13 605 0.466303753029 Henry Cohn, 2026, needs more optimization.
13 606 0.466322934268 Henry Cohn, 2026, needs more optimization.
13 607 0.466444144829 Henry Cohn, 2026, needs more optimization.
13 608 0.466461703880 Henry Cohn, 2026, needs more optimization.
13 609 0.466527836157 Henry Cohn, 2026, needs more optimization.
13 610 0.466539216705 Henry Cohn, 2026, needs more optimization.
13 611 0.466546738160 Henry Cohn, 2026, needs more optimization.
13 612 0.466558339500 Henry Cohn, 2026, needs more optimization.
13 613 0.466628211890 Henry Cohn, 2026, needs more optimization.
13 614 0.466635042995 Henry Cohn, 2026, needs more optimization.
13 615 0.466837883438 Henry Cohn, 2026, needs more optimization.
13 616 0.466848954766 Henry Cohn, 2026, needs more optimization.
13 617 0.466909779377 Henry Cohn, 2026, needs more optimization.
13 618 0.466923654757 Henry Cohn, 2026, needs more optimization.
13 619 0.467055927493 Henry Cohn, 2026, needs more optimization.
13 620 0.467126553270 Henry Cohn, 2026, needs more optimization.
13 621 0.467163986261 Henry Cohn, 2026, needs more optimization.
13 622 0.467195060589 Henry Cohn, 2026, needs more optimization.
13 623 0.467259170111 Henry Cohn, 2026, needs more optimization.
13 624 0.467264282828 Robert Dallara, 2026.
13 625 0.467321837621 Henry Cohn, 2026, needs more optimization.
13 626 0.467363044573 Henry Cohn, 2026, needs more optimization.
13 627 0.467452709978 Henry Cohn, 2026, needs more optimization.
13 628 0.467539320115 Henry Cohn, 2026, needs more optimization.
13 629 0.467659165957 Robert Dallara, 2026.
13 630 0.467690116911 Henry Cohn, 2026, needs more optimization.
13 631 0.469220586588 Henry Cohn, 2026, needs more optimization.
13 632 0.469478434416 Henry Cohn, 2026, needs more optimization.
13 633 0.470306419603 Henry Cohn, 2026, needs more optimization.
13 634 0.470981076519 Henry Cohn, 2026, needs more optimization.
13 635 0.471590790368 Henry Cohn, 2026, needs more optimization.
13 636 0.472064358290 Henry Cohn, 2026, needs more optimization.
13 637 0.472520672015 Henry Cohn, 2026, needs more optimization.
13 638 0.473147591857 Henry Cohn, 2026, needs more optimization.
13 639 0.473598385470 Henry Cohn, 2026, needs more optimization.
13 640 0.474088355248 Robert Dallara, 2026.
13 641 0.474359090301 Henry Cohn, 2026, needs more optimization.
13 642 0.474903144288 Henry Cohn, 2026, needs more optimization.
13 644 0.475 Henry Cohn, 2026.
40⁢x−19
13 645 0.476047769448 Henry Cohn, 2026, needs more optimization.
13 646 0.476501060786 Henry Cohn, 2026, needs more optimization.
13 647 0.476809823274 Henry Cohn, 2026, needs more optimization.
13 648 0.477170200269 Henry Cohn, 2026, needs more optimization.
13 649 0.477412846453 Henry Cohn, 2026, needs more optimization.
13 650 0.477678407692 Henry Cohn, 2026, needs more optimization.
13 651 0.477831226013 Henry Cohn, 2026, needs more optimization.
13 652 0.477951371442 Henry Cohn, 2026, needs more optimization.
13 653 0.478129057486 Henry Cohn, 2026, needs more optimization.
13 654 0.478244000274 Henry Cohn, 2026, needs more optimization.
13 655 0.478402440730 Henry Cohn, 2026, needs more optimization.
13 656 0.478530056942 Henry Cohn, 2026, needs more optimization.
13 657 0.478693855116 Henry Cohn, 2026, needs more optimization.
13 658 0.478809727417 Henry Cohn, 2026, needs more optimization.
13 659 0.478974453138 Henry Cohn, 2026, needs more optimization.
13 660 0.479102358752 Henry Cohn, 2026, needs more optimization.
13 661 0.479296315468 Henry Cohn, 2026, needs more optimization.
13 662 0.479438494723 Henry Cohn, 2026, needs more optimization.
13 663 0.479588385183 Henry Cohn, 2026, needs more optimization.
13 664 0.479697096236 Henry Cohn, 2026, needs more optimization.
13 665 0.479829398778 Henry Cohn, 2026, needs more optimization.
13 666 0.479905156014 Henry Cohn, 2026, needs more optimization.
13 667 0.480038349174 Henry Cohn, 2026, needs more optimization.
13 668 0.480163092310 Henry Cohn, 2026, needs more optimization.
13 669 0.480330812657 Henry Cohn, 2026, needs more optimization.
13 670 0.480510152007 Henry Cohn, 2026, needs more optimization.
13 671 0.480658491889 Henry Cohn, 2026, needs more optimization.
13 672 0.480729217947 Henry Cohn, 2026, needs more optimization.
13 673 0.480863550663 Henry Cohn, 2026, needs more optimization.
13 674 0.480967393012 Henry Cohn, 2026, needs more optimization.
13 675 0.481089885717 Henry Cohn, 2026, needs more optimization.
13 676 0.481203676565 Henry Cohn, 2026, needs more optimization.
13 677 0.481317638496 Henry Cohn, 2026, needs more optimization.
13 678 0.481378214961 Henry Cohn, 2026, needs more optimization.
13 679 0.482027901495 Henry Cohn, 2026, needs more optimization.
13 680 0.482123610035 Henry Cohn, 2026, needs more optimization.
13 681 0.482148840697 Henry Cohn, 2026, needs more optimization.
13 682 0.482305245860 Henry Cohn, 2026, needs more optimization.
13 683 0.482450533029 Henry Cohn, 2026, needs more optimization.
13 684 0.482452356238 Henry Cohn, 2026, needs more optimization.
13 686 0.482459757697 Henry Cohn, 2026, needs more optimization.
13 687 0.482466351562 Henry Cohn, 2026, needs more optimization.
13 688 0.482472364405 Henry Cohn, 2026, needs more optimization.
13 689 0.482495843325 Henry Cohn, 2026, needs more optimization.
13 690 0.482510678370 Henry Cohn, 2026, needs more optimization.
13 691 0.482512080211 Henry Cohn, 2026, needs more optimization.
13 692 0.482921515494 Henry Cohn, 2026, needs more optimization.
13 693 0.483007738745 Henry Cohn, 2026, needs more optimization.
13 694 0.483118987622 Henry Cohn, 2026, needs more optimization.
13 695 0.483290439826 Henry Cohn, 2026, needs more optimization.
13 696 0.483406567717 Henry Cohn, 2026, needs more optimization.
13 697 0.483513267069 Henry Cohn, 2026, needs more optimization.
13 698 0.483784436106 Henry Cohn, 2026, needs more optimization.
13 699 0.483906726677 Henry Cohn, 2026, needs more optimization.
13 700 0.483969916324 Henry Cohn, 2026, needs more optimization.
13 701 0.484204428446 Henry Cohn, 2026, needs more optimization.
13 702 0.484239579372 Henry Cohn, 2026, needs more optimization.
13 703 0.484273694712 Henry Cohn, 2026, needs more optimization.
13 704 0.484291310650 Henry Cohn, 2026, needs more optimization.
13 705 0.484304162856 Henry Cohn, 2026, needs more optimization.
13 706 0.484356072872 Henry Cohn, 2026, needs more optimization.
13 707 0.484463326655 Henry Cohn, 2026, needs more optimization.
13 708 0.484558614837 Henry Cohn, 2026, needs more optimization.
13 709 0.484663660419 Henry Cohn, 2026, needs more optimization.
13 710 0.484669312922 Henry Cohn, 2026, needs more optimization.
13 711 0.484671453689 Henry Cohn, 2026, needs more optimization.
13 712 0.484710535620 Henry Cohn, 2026, needs more optimization.
13 713 0.484720217655 Henry Cohn, 2026, needs more optimization.
13 714 0.484744578053 Henry Cohn, 2026, needs more optimization.
13 715 0.484757552414 Henry Cohn, 2026, needs more optimization.
13 716 0.484820823693 Henry Cohn, 2026, needs more optimization.
13 717 0.484843108501 Henry Cohn, 2026, needs more optimization.
13 718 0.484855991814 Henry Cohn, 2026, needs more optimization.
13 719 0.484881486965 Henry Cohn, 2026, needs more optimization.
13 720 0.484892329698 Henry Cohn, 2026, needs more optimization.
13 721 0.484895511842 Henry Cohn, 2026, needs more optimization.
13 722 0.484915727464 Henry Cohn, 2026, needs more optimization.
13 723 0.484933431765 Henry Cohn, 2026, needs more optimization.
13 724 0.484943885499 Henry Cohn, 2026, needs more optimization.
13 725 0.484956518155 Henry Cohn, 2026, needs more optimization.
13 726 0.485547984337 Henry Cohn, 2026, needs more optimization.
13 727 0.485565759601 Henry Cohn, 2026, needs more optimization.
13 728 0.485635283606 Henry Cohn, 2026, needs more optimization.
13 731 0.485674172789 Robert Dallara, 2026.
13 732 0.485865892345 Henry Cohn, 2026, needs more optimization.
13 733 0.485945263684 Henry Cohn, 2026, needs more optimization.
13 734 0.486002418637 Henry Cohn, 2026, needs more optimization.
13 735 0.486120831194 Henry Cohn, 2026, needs more optimization.
13 736 0.486156951391 Henry Cohn, 2026, needs more optimization.
13 737 0.486218117939 Henry Cohn, 2026, needs more optimization.
13 738 0.486267497517 Henry Cohn, 2026, needs more optimization.
13 739 0.486311139863 Henry Cohn, 2026, needs more optimization.
13 740 0.486360708511 Henry Cohn, 2026, needs more optimization.
13 741 0.486426777298 Henry Cohn, 2026, needs more optimization.
13 742 0.486456582041 Henry Cohn, 2026, needs more optimization.
13 743 0.486502418823 Henry Cohn, 2026, needs more optimization.
13 744 0.486604954281 Henry Cohn, 2026, needs more optimization.
13 745 0.486664132729 Henry Cohn, 2026, needs more optimization.
13 746 0.486708574354 Henry Cohn, 2026, needs more optimization.
13 747 0.486727037414 Henry Cohn, 2026, needs more optimization.
13 748 0.486741820412 Henry Cohn, 2026, needs more optimization.
13 749 0.486780176111 Henry Cohn, 2026, needs more optimization.
13 750 0.486848555672 Henry Cohn, 2026, needs more optimization.
13 751 0.486928614997 Henry Cohn, 2026, needs more optimization.
13 752 0.487021118492 Henry Cohn, 2026, needs more optimization.
13 753 0.487134871356 Henry Cohn, 2026, needs more optimization.
13 754 0.487139414279 Henry Cohn, 2026, needs more optimization.
13 755 0.487165913194 Henry Cohn, 2026, needs more optimization.
13 756 0.487214460776 Henry Cohn, 2026, needs more optimization.
13 757 0.487282394573 Henry Cohn, 2026, needs more optimization.
13 758 0.487395923447 Henry Cohn, 2026, needs more optimization.
13 759 0.487406299749 Henry Cohn, 2026, needs more optimization.
13 760 0.487476065182 Henry Cohn, 2026, needs more optimization.
13 761 0.487588588365 Henry Cohn, 2026, needs more optimization.
13 762 0.487609853682 Henry Cohn, 2026, needs more optimization.
13 763 0.487671588890 Henry Cohn, 2026, needs more optimization.
13 764 0.487708782599 Henry Cohn, 2026, needs more optimization.
13 765 0.487740855283 Henry Cohn, 2026, needs more optimization.
13 766 0.487795733635 Henry Cohn, 2026, needs more optimization.
13 767 0.487881334886 Henry Cohn, 2026, needs more optimization.
13 768 0.487918566177 Henry Cohn, 2026, needs more optimization.
13 769 0.487936610741 Henry Cohn, 2026, needs more optimization.
13 770 0.487957662313 Henry Cohn, 2026, needs more optimization.
13 780 0.487958540256 Robert Dallara, 2026.
13 782 0.488516798058 Henry Cohn, 2026, needs more optimization.
13 783 0.488561293975 Henry Cohn, 2026, needs more optimization.
13 784 0.488643812841 Henry Cohn, 2026, needs more optimization.
13 785 0.488672694352 Henry Cohn, 2026, needs more optimization.
13 786 0.488726380778 Henry Cohn, 2026, needs more optimization.
13 787 0.488754747758 Henry Cohn, 2026, needs more optimization.
13 788 0.488833899457 Henry Cohn, 2026, needs more optimization.
13 789 0.488905155703 Henry Cohn, 2026, needs more optimization.
13 790 0.488919515699 Henry Cohn, 2026, needs more optimization.
13 791 0.488922116826 Henry Cohn, 2026, needs more optimization.
13 793 0.488922289560 Henry Cohn, 2026, needs more optimization.
13 794 0.488964484580 Henry Cohn, 2026, needs more optimization.
13 795 0.489002976124 Henry Cohn, 2026, needs more optimization.
13 796 0.489010080193 Henry Cohn, 2026, needs more optimization.
13 797 0.489058731110 Henry Cohn, 2026, needs more optimization.
13 798 0.489063196574 Henry Cohn, 2026, needs more optimization.
13 799 0.489099609155 Henry Cohn, 2026, needs more optimization.
13 800 0.489135984074 Henry Cohn, 2026, needs more optimization.
13 801 0.489153907577 Henry Cohn, 2026, needs more optimization.
13 802 0.489157296823 Henry Cohn, 2026, needs more optimization.
13 804 0.489217000180 Henry Cohn, 2026, needs more optimization.
13 805 0.489217000187 Henry Cohn, 2026, needs more optimization.
13 806 0.489233659365 Henry Cohn, 2026, needs more optimization.
13 807 0.489256218273 Henry Cohn, 2026, needs more optimization.
13 808 0.489271240875 Henry Cohn, 2026, needs more optimization.
13 809 0.489282357240 Henry Cohn, 2026, needs more optimization.
13 810 0.489293961025 Henry Cohn, 2026, needs more optimization.
13 811 0.489299474886 Henry Cohn, 2026, needs more optimization.
13 812 0.489304028040 Henry Cohn, 2026, needs more optimization.
13 813 0.489315273059 Henry Cohn, 2026, needs more optimization.
13 814 0.489317863383 Henry Cohn, 2026, needs more optimization.
13 815 0.489333081994 Henry Cohn, 2026, needs more optimization.
13 816 0.489344420063 Henry Cohn, 2026, needs more optimization.
13 817 0.489353407622 Henry Cohn, 2026, needs more optimization.
13 818 0.489357866958 Henry Cohn, 2026, needs more optimization.
13 828 0.489923040829 Robert Dallara, 2026.
13 832 0.490458421937 Robert Dallara, 2026.
13 834 0.491407220913 Henry Cohn, 2026, needs more optimization.
13 835 0.491436477266 Henry Cohn, 2026, needs more optimization.
13 836 0.491482395754 Henry Cohn, 2026, needs more optimization.
13 837 0.491508871232 Henry Cohn, 2026, needs more optimization.
13 838 0.491589997228 Henry Cohn, 2026, needs more optimization.
13 839 0.491653880957 Henry Cohn, 2026, needs more optimization.
13 840 0.491669104723 Henry Cohn, 2026, needs more optimization.
13 841 0.491720361981 Henry Cohn, 2026, needs more optimization.
13 842 0.491737098040 Henry Cohn, 2026, needs more optimization.
13 843 0.491924693231 Henry Cohn, 2026, needs more optimization.
13 844 0.492018797732 Henry Cohn, 2026, needs more optimization.
13 845 0.492061953871 Henry Cohn, 2026, needs more optimization.
13 846 0.492085923420 Henry Cohn, 2026, needs more optimization.
13 847 0.492163797304 Henry Cohn, 2026, needs more optimization.
13 848 0.492268132994 Henry Cohn, 2026, needs more optimization.
13 849 0.492416422965 Henry Cohn, 2026, needs more optimization.
13 850 0.492582250239 Henry Cohn, 2026, needs more optimization.
13 851 0.492582250241 Henry Cohn, 2026, needs more optimization.
13 852 0.492584130857 Henry Cohn, 2026, needs more optimization.
13 856 0.492787823585 Henry Cohn, 2026, needs more optimization.
13 857 0.493162514940 Henry Cohn, 2026, needs more optimization.
13 858 0.493214637676 Henry Cohn, 2026, needs more optimization.
13 859 0.493229442724 Henry Cohn, 2026, needs more optimization.
13 860 0.493297062315 Henry Cohn, 2026, needs more optimization.
13 861 0.493352743373 Henry Cohn, 2026, needs more optimization.
13 862 0.493681985408 Henry Cohn, 2026, needs more optimization.
13 863 0.493756979388 Henry Cohn, 2026, needs more optimization.
13 864 0.493784681253 Henry Cohn, 2026, needs more optimization.
13 866 0.493858381369 Robert Dallara, 2026.
13 867 0.494207381705 Henry Cohn, 2026, needs more optimization.
13 868 0.494278312869 Henry Cohn, 2026, needs more optimization.
13 869 0.494647456805 Henry Cohn, 2026, needs more optimization.
13 870 0.494757854169 Henry Cohn, 2026, needs more optimization.
13 871 0.494855478512 Henry Cohn, 2026, needs more optimization.
13 872 0.495128037928 Henry Cohn, 2026, needs more optimization.
13 874 0.495214701528 Henry Cohn, 2026, needs more optimization.
13 875 0.495431830663 Henry Cohn, 2026, needs more optimization.
13 876 0.495439078873 Henry Cohn, 2026, needs more optimization.
13 877 0.495545839040 Henry Cohn, 2026, needs more optimization.
13 878 0.495550493108 Henry Cohn, 2026, needs more optimization.
13 879 0.495568222463 Henry Cohn, 2026, needs more optimization.
13 880 0.495589155086 Henry Cohn, 2026, needs more optimization.
13 881 0.495628525280 Henry Cohn, 2026, needs more optimization.
13 882 0.495634948353 Henry Cohn, 2026, needs more optimization.
13 886 0.497049872994 Robert Dallara, 2026.
13 887 0.497863206199 Henry Cohn, 2026, needs more optimization.
13 888 0.497910945986 Henry Cohn, 2026, needs more optimization.
13 889 0.497958553473 Henry Cohn, 2026, needs more optimization.
13 890 0.498442550770 Henry Cohn, 2026, needs more optimization.
13 891 0.498618080439 Henry Cohn, 2026, needs more optimization.
13 892 0.498797485746 Henry Cohn, 2026, needs more optimization.
13 893 0.499160051611 Henry Cohn, 2026, needs more optimization.
13 894 0.499395389472 Henry Cohn, 2026, needs more optimization.
13 895 0.499575202648 Henry Cohn, 2026, needs more optimization.
13 896 0.499702810470 Henry Cohn, 2026, needs more optimization.
13 897 0.499811837525 Henry Cohn, 2026, needs more optimization.
13 1024 0.5 Subcode of a kissing configuration from J. Leech and N. J. A. Sloane, Sphere packings and error-correcting codes, Canadian J. Math. 23 (1971), 718–745, doi:10.4153/CJM-1971-081-3.
2⁢x−1
14 29 0.053426987342 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
2016⁢x3−196⁢x2−14⁢x+1
14 30 0.0625 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
16⁢x−1
14 31 0.067582771839 H. Cohn, Small spherical and projective codes, data set, updated 2025, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
14 32 0.071430901841 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
14 33 0.071678780313 Henry Cohn, 2025.
14 34 0.071706747799 Henry Cohn, 2025.
14 36 0.080003299193 Henry Cohn, 2023.
2156⁢x2+140⁢x−25
14 37 0.087892856445 Henry Cohn, 2023.
Minimal polynomial listed in plain text data
14 38 0.092604004700 Henry Cohn, 2025.
14 39 0.094407135777 Henry Cohn, 2023.
Minimal polynomial listed in plain text data
14 42 0.1 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
10⁢x−1
14 43 0.112894921393 Henry Cohn, 2025.
14 45 0.112912613537 Henry Cohn, 2023.
167⁢x2−10⁢x−1
14 46 0.114212424977 Henry Cohn, 2024.
14 47 0.114744370065 Henry Cohn, 2026.
14 48 0.114785923011 Henry Cohn, 2023.
1988352⁢x8+1963008⁢x7−108672⁢x6−513152⁢x5−92592⁢x4+19616⁢x3+5240⁢x2+72⁢x−81
14 49 0.125031168050 Henry Cohn, 2025.
14 50 0.126129943174 Henry Cohn, 2025.
14 52 0.126131983623 Henry Cohn, 2023.
47⁢x2+2⁢x−1
14 53 0.127206262662 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 54 0.135105967369 Henry Cohn, 2024.
14 55 0.136745922263 Henry Cohn, 2023.
14 56 0.139995309534 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 57 0.142105817153 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 64 0.142857142858 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
7⁢x−1
14 65 0.165287555076 Henry Cohn, 2024.
25600⁢x4−5616⁢x3−2736⁢x2+81
14 70 0.166666666667 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
6⁢x−1
14 71 0.177427267176 Henry Cohn, 2024.
196⁢x4−56⁢x3−28⁢x2+1
14 72 0.180979034910 Henry Cohn, 2026.
14 73 0.184450749802 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 75 0.185110498562 Henry Cohn, 2026.
16⁢x4−44⁢x3−54⁢x2+6⁢x+1
14 76 0.189882981278 Henry Cohn, 2026, needs more optimization.
14 77 0.190266040190 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
14 78 0.191435292286 Henry Cohn, 2026, needs more optimization.
14 79 0.193295679961 Henry Cohn, 2026, needs more optimization.
14 80 0.195566565102 Henry Cohn, 2026, needs more optimization.
14 81 0.198091399669 Henry Cohn, 2026, needs more optimization.
14 82 0.198235113449 Henry Cohn, 2026, needs more optimization.
14 83 0.198267231140 Henry Cohn, 2026, needs more optimization.
14 84 0.198293264299 Henry Cohn, 2026, needs more optimization.
14 85 0.198380133558 Henry Cohn, 2026, needs more optimization.
14 86 0.198448366076 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 87 0.198500422890 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 88 0.198573138467 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 89 0.198676700177 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 90 0.198771501202 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 91 0.198843416030 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
14 92 0.208456809639 Henry Cohn, 2026.
14 93 0.211614877981 Henry Cohn, 2026, needs more optimization.
14 94 0.211902924857 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 95 0.212156818994 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 98 0.212267554700 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 99 0.219093723133 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 100 0.223656652929 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 101 0.225611786184 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 102 0.227324267760 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 103 0.228436743224 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 104 0.229435074141 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 112 0.229910395527 Henry Cohn, 2026.
172881⁢x2−2450⁢x−8575
14 113 0.234877677877 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 114 0.237353905077 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 115 0.238647655396 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 116 0.240621710624 Henry Cohn, 2026, needs more optimization.
14 117 0.242102513974 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 118 0.243526373346 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 119 0.244521891649 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 120 0.245013623874 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 121 0.245804193148 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 122 0.247969565987 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 123 0.249867588407 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 124 0.250841630275 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 125 0.252036955830 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 126 0.252989165655 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 127 0.253946165501 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 128 0.254461455980 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 129 0.255313221760 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 130 0.255991032639 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 131 0.257308841654 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 132 0.259375896042 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 133 0.261663671512 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 134 0.263359520675 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 135 0.263523285302 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 136 0.263696530994 Henry Cohn, 2026, needs more optimization.
14 137 0.265700466774 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 138 0.267614408453 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 139 0.268855688952 Henry Cohn, 2026, needs more optimization.
14 140 0.269114606171 Henry Cohn, 2026, needs more optimization.
14 141 0.269159383843 Henry Cohn, 2026, needs more optimization.
14 142 0.269179060883 Henry Cohn, 2026, needs more optimization.
14 143 0.269224758553 Henry Cohn, 2026, needs more optimization.
14 144 0.269269448784 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 145 0.269305975303 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 146 0.269347313872 Henry Cohn, 2026, needs more optimization.
14 147 0.269387703454 Henry Cohn, 2026, needs more optimization.
14 148 0.269433762210 Henry Cohn, 2026, needs more optimization.
14 149 0.269470027821 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 150 0.269507084831 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 152 0.269752143390 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17⁢x2−12⁢x+2
14 153 0.273185531221 Henry Cohn, 2026, needs more optimization.
14 154 0.273722355435 Valentin Khrulkov, 2026, using the program of A. Kravatsky, V. Khrulkov, and I. Oseledets, ImprovEvolve: basin-hopping meets LLM-guided evolutionary search, ICML 2026 AI4Math Workshop Poster, https://openreview.net/forum?id=nE1q0gRDNr, arXiv:2602.10233.
14 155 0.275821287126 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 156 0.275955733357 Henry Cohn, 2026, needs more optimization.
14 157 0.276192708250 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 158 0.276409048414 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 159 0.276639427593 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 160 0.276928172851 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 161 0.277313316694 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 162 0.277723591478 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 163 0.278235538476 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 164 0.278742069770 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 165 0.279301174090 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 166 0.280034629472 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 167 0.281182078023 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 168 0.281734140445 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 169 0.286484241382 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 170 0.287680952074 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 171 0.289016306087 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 172 0.290063551943 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 173 0.290935128089 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 174 0.291707450567 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 175 0.292476108147 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 176 0.293261763269 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 177 0.293986945699 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 178 0.294973059305 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 179 0.295406863442 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 180 0.295813844920 Henry Cohn, 2026, needs more optimization.
14 181 0.296286331978 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 182 0.296781002960 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 183 0.297284591155 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 184 0.297803343560 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 185 0.298344248863 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 186 0.298951986418 Henry Cohn, 2026, needs more optimization.
14 187 0.299546636185 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 188 0.300110731882 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 189 0.300572151099 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 190 0.301260925632 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 191 0.302339826416 Henry Cohn, 2026, needs more optimization.
14 192 0.303366227060 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 193 0.304399585199 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 194 0.305337983825 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 195 0.306338157762 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 196 0.307706828505 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 197 0.308579579991 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 198 0.309213490151 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 199 0.310004338205 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 200 0.310363956550 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 201 0.311669660673 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 202 0.311796750159 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 203 0.312211338630 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 204 0.312859058760 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 205 0.313362485481 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 206 0.313760055167 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 207 0.314143100512 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 208 0.314344462026 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 209 0.314674981623 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 210 0.315035834767 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 211 0.315307223426 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 212 0.315745381301 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 213 0.316114886948 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 214 0.316209526086 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 215 0.316849470717 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 216 0.317149448563 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 217 0.317306760171 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 218 0.318105901330 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 219 0.318392962184 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 220 0.318596246936 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 221 0.319502068478 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 222 0.320156920283 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 223 0.320752101724 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 224 0.321220659277 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 225 0.321612221144 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 226 0.321861830398 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 227 0.323370787321 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 228 0.323897004455 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 229 0.324518908447 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 230 0.324802071007 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 231 0.325935756593 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 232 0.326688433255 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 233 0.327393768235 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 234 0.328555151244 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 235 0.329473684559 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 236 0.330025296754 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 237 0.330939276853 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 238 0.331679997281 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 239 0.332337617579 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 240 0.332976262691 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 241 0.333092549840 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 252 0.333333333334 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
3⁢x−1
14 262 0.333850083010 Henry Cohn, 2026, needs more optimization.
14 263 0.333987389502 Henry Cohn, 2026, needs more optimization.
14 264 0.335253288557 Henry Cohn, 2026, needs more optimization.
14 265 0.335431777600 Henry Cohn, 2026, needs more optimization.
14 266 0.335482912755 Henry Cohn, 2026, needs more optimization.
14 267 0.336166556950 Henry Cohn, 2026, needs more optimization.
14 268 0.337451863311 Henry Cohn, 2026, needs more optimization.
14 269 0.338198987480 Henry Cohn, 2026, needs more optimization.
14 282 0.339465385359 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 283 0.339641014113 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 284 0.339641015714 Henry Cohn, 2026, needs more optimization.
14 285 0.339675104765 Henry Cohn, 2026, needs more optimization.
14 286 0.341135842942 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 287 0.342442534217 Henry Cohn, 2026, needs more optimization.
14 288 0.343978676481 Henry Cohn, 2026, needs more optimization.
14 289 0.345188955471 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 290 0.345851514208 Henry Cohn, 2026, needs more optimization.
14 296 0.347198310291 Henry Cohn, 2026, needs more optimization.
14 297 0.347202771291 Henry Cohn, 2026, needs more optimization.
14 298 0.347335110801 Henry Cohn, 2026, needs more optimization.
14 299 0.347940249564 Robert Dallara, 2026.
14 300 0.348323802493 Henry Cohn, 2026, needs more optimization.
14 301 0.348673008273 Henry Cohn, 2026, needs more optimization.
14 302 0.348989817407 Robert Dallara, 2026.
14 303 0.352664822406 Henry Cohn, 2026, needs more optimization.
14 304 0.353973071775 Henry Cohn, 2026, needs more optimization.
14 305 0.354967619050 Henry Cohn, 2026, needs more optimization.
14 306 0.354967790676 Henry Cohn, 2026, needs more optimization.
14 307 0.354967986903 Henry Cohn, 2026, needs more optimization.
14 308 0.354968173917 Henry Cohn, 2026, needs more optimization.
14 309 0.354970020447 Henry Cohn, 2026, needs more optimization.
14 310 0.354970277463 Henry Cohn, 2026, needs more optimization.
14 311 0.354970505183 Henry Cohn, 2026, needs more optimization.
14 312 0.354970873796 Henry Cohn, 2026, needs more optimization.
14 313 0.354971205964 Henry Cohn, 2026, needs more optimization.
14 320 0.355009157954 Henry Cohn, 2026, needs more optimization.
14 322 0.355009829237 Henry Cohn, 2026, needs more optimization.
14 323 0.355010800669 Henry Cohn, 2026, needs more optimization.
14 324 0.355011428785 Henry Cohn, 2026, needs more optimization.
14 325 0.355011500965 Henry Cohn, 2026, needs more optimization.
14 326 0.355011968444 Henry Cohn, 2026, needs more optimization.
14 327 0.355012584528 Henry Cohn, 2026, needs more optimization.
14 328 0.355012585872 Henry Cohn, 2026, needs more optimization.
14 331 0.355012597273 Henry Cohn, 2026, needs more optimization.
14 332 0.355012760968 Henry Cohn, 2026, needs more optimization.
14 333 0.355013206490 Henry Cohn, 2026, needs more optimization.
14 334 0.355015711386 Henry Cohn, 2026, needs more optimization.
14 335 0.355016138600 Henry Cohn, 2026, needs more optimization.
14 336 0.355045640821 Henry Cohn, 2026, needs more optimization.
14 337 0.355121540750 Henry Cohn, 2026, needs more optimization.
14 338 0.355125671090 Henry Cohn, 2026, needs more optimization.
14 339 0.355577979901 Henry Cohn, 2026, needs more optimization.
14 340 0.357142021978 Henry Cohn, 2026, needs more optimization.
14 341 0.358052443489 Henry Cohn, 2026, needs more optimization.
14 342 0.358516474155 Henry Cohn, 2026, needs more optimization.
14 343 0.358543895483 Henry Cohn, 2026, needs more optimization.
14 344 0.359874390735 Henry Cohn, 2026, needs more optimization.
14 345 0.360768698682 Henry Cohn, 2026, needs more optimization.
14 346 0.362852640787 Henry Cohn, 2026, needs more optimization.
14 347 0.363441072293 Henry Cohn, 2026, needs more optimization.
14 348 0.363629451272 Henry Cohn, 2026, needs more optimization.
14 349 0.363724391654 Henry Cohn, 2026, needs more optimization.
14 350 0.364017426940 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 351 0.364769371511 Henry Cohn, 2026, needs more optimization.
14 352 0.367342238572 Henry Cohn, 2026, needs more optimization.
14 353 0.368111682928 Henry Cohn, 2026, needs more optimization.
14 354 0.369258881806 Henry Cohn, 2026, needs more optimization.
14 355 0.370390551169 Henry Cohn, 2026, needs more optimization.
14 356 0.371137069457 Henry Cohn, 2026, needs more optimization.
14 357 0.371998299687 Henry Cohn, 2026, needs more optimization.
14 358 0.373029002267 Henry Cohn, 2026, needs more optimization.
14 359 0.374138337842 Henry Cohn, 2026, needs more optimization.
14 360 0.374986458852 Henry Cohn, 2026, needs more optimization.
14 361 0.375773879403 Henry Cohn, 2026, needs more optimization.
14 362 0.376466785931 Henry Cohn, 2026, needs more optimization.
14 363 0.377312902130 Henry Cohn, 2026, needs more optimization.
14 364 0.377321046542 Henry Cohn, 2026, needs more optimization.
14 365 0.377331340331 Henry Cohn, 2026, needs more optimization.
14 366 0.377347283776 Henry Cohn, 2026, needs more optimization.
14 367 0.377353721164 Henry Cohn, 2026, needs more optimization.
14 368 0.377386203628 Henry Cohn, 2026, needs more optimization.
14 369 0.377400284337 Henry Cohn, 2026, needs more optimization.
14 370 0.377409973273 Henry Cohn, 2026, needs more optimization.
14 371 0.377432632191 Henry Cohn, 2026, needs more optimization.
14 372 0.377433180220 Henry Cohn, 2026, needs more optimization.
14 373 0.377435758681 Henry Cohn, 2026, needs more optimization.
14 374 0.377435924784 Henry Cohn, 2026, needs more optimization.
14 375 0.377436065255 Henry Cohn, 2026, needs more optimization.
14 376 0.377436376088 Henry Cohn, 2026, needs more optimization.
14 377 0.377436644697 Henry Cohn, 2026, needs more optimization.
14 378 0.377441714466 Henry Cohn, 2026, needs more optimization.
14 379 0.377441805491 Henry Cohn, 2026, needs more optimization.
14 380 0.377441805848 Henry Cohn, 2026, needs more optimization.
14 381 0.377455632178 Henry Cohn, 2026, needs more optimization.
14 382 0.377624145097 Henry Cohn, 2026, needs more optimization.
14 383 0.377759751829 Henry Cohn, 2026, needs more optimization.
14 384 0.377830160043 Henry Cohn, 2026, needs more optimization.
14 385 0.377912994889 Henry Cohn, 2026, needs more optimization.
14 386 0.378443763812 Henry Cohn, 2026, needs more optimization.
14 387 0.380849603454 Henry Cohn, 2026, needs more optimization.
14 388 0.381594707230 Henry Cohn, 2026, needs more optimization.
14 389 0.381960105257 Henry Cohn, 2026, needs more optimization.
14 390 0.383154196985 Henry Cohn, 2026, needs more optimization.
14 391 0.383157850390 Henry Cohn, 2026, needs more optimization.
14 392 0.383994873758 Henry Cohn, 2026, needs more optimization.
14 393 0.384003522290 Henry Cohn, 2026, needs more optimization.
14 394 0.384011827249 Henry Cohn, 2026, needs more optimization.
14 395 0.384017794367 Henry Cohn, 2026, needs more optimization.
14 396 0.384023782463 Henry Cohn, 2026, needs more optimization.
14 397 0.384030653451 Henry Cohn, 2026, needs more optimization.
14 398 0.384039489787 Henry Cohn, 2026, needs more optimization.
14 399 0.384242347241 Henry Cohn, 2026, needs more optimization.
14 400 0.384305984824 Henry Cohn, 2026, needs more optimization.
14 401 0.384923226986 Henry Cohn, 2026, needs more optimization.
14 402 0.385003525454 Henry Cohn, 2026, needs more optimization.
14 403 0.385484448286 Henry Cohn, 2026, needs more optimization.
14 404 0.385782390400 Henry Cohn, 2026, needs more optimization.
14 405 0.385786461592 Henry Cohn, 2026, needs more optimization.
14 406 0.385792367371 Henry Cohn, 2026, needs more optimization.
14 407 0.385798590131 Henry Cohn, 2026, needs more optimization.
14 408 0.385807268968 Henry Cohn, 2026, needs more optimization.
14 409 0.385847305242 Henry Cohn, 2026, needs more optimization.
14 410 0.385859507532 Henry Cohn, 2026, needs more optimization.
14 411 0.385876485727 Henry Cohn, 2026, needs more optimization.
14 412 0.385896689663 Henry Cohn, 2026, needs more optimization.
14 413 0.385918209902 Henry Cohn, 2026, needs more optimization.
14 414 0.385959297932 Henry Cohn, 2026, needs more optimization.
14 415 0.386486241567 Henry Cohn, 2026, needs more optimization.
14 416 0.387198667587 Henry Cohn, 2026, needs more optimization.
14 417 0.387398332254 Henry Cohn, 2026, needs more optimization.
14 418 0.387403329282 Henry Cohn, 2026, needs more optimization.
14 419 0.387542057464 Henry Cohn, 2026, needs more optimization.
14 420 0.388281815902 Henry Cohn, 2026, needs more optimization.
14 421 0.390111915068 Henry Cohn, 2026, needs more optimization.
14 422 0.391129505863 Henry Cohn, 2026, needs more optimization.
14 423 0.391547845909 Henry Cohn, 2026, needs more optimization.
14 435 0.391891891892 Henry Cohn, 2026.
74⁢x−29
14 436 0.394834515681 Henry Cohn, 2026, needs more optimization.
14 437 0.395905398334 Henry Cohn, 2026, needs more optimization.
14 438 0.396518914130 Henry Cohn, 2026, needs more optimization.
14 439 0.396988099397 Henry Cohn, 2026, needs more optimization.
14 440 0.397345835370 Henry Cohn, 2026, needs more optimization.
14 441 0.397630040274 Henry Cohn, 2026, needs more optimization.
14 442 0.398091173238 Henry Cohn, 2026, needs more optimization.
14 443 0.398789625952 Henry Cohn, 2026, needs more optimization.
14 444 0.399265345425 Henry Cohn, 2026, needs more optimization.
14 445 0.399600977801 Henry Cohn, 2026, needs more optimization.
14 466 0.4 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
5⁢x−2
14 537 0.4 Henry Cohn, 2026.
5⁢x−2
14 538 0.411974578776 Henry Cohn, 2026, needs more optimization.
14 539 0.413391302610 Henry Cohn, 2026, needs more optimization.
14 540 0.414934559480 Henry Cohn, 2026, needs more optimization.
14 541 0.416094403843 Henry Cohn, 2026, needs more optimization.
14 542 0.417511289428 Henry Cohn, 2026, needs more optimization.
14 543 0.418555922688 Henry Cohn, 2026, needs more optimization.
14 544 0.418838903043 Henry Cohn, 2026, needs more optimization.
14 545 0.419540863270 Henry Cohn, 2026, needs more optimization.
14 546 0.420234194451 Henry Cohn, 2026, needs more optimization.
14 548 0.420566998188 Robert Dallara, 2026.
14 550 0.422282394652 Robert Dallara, 2026.
14 580 0.423076923077 Henry Cohn, 2026.
26⁢x−11
14 581 0.423515423010 Henry Cohn, 2026, needs more optimization.
14 582 0.424549838369 Henry Cohn, 2026, needs more optimization.
14 583 0.425062802112 Henry Cohn, 2026, needs more optimization.
14 584 0.425818858913 Henry Cohn, 2026, needs more optimization.
14 585 0.426206760894 Henry Cohn, 2026, needs more optimization.
14 586 0.426575337386 Henry Cohn, 2026, needs more optimization.
14 587 0.426987689996 Henry Cohn, 2026, needs more optimization.
14 600 0.428571428572 M. Ganzhinov and P. R. J. Östergård, Spherical codes with prescribed signed permutation automorphisms inside shells of low-dimensional integer lattices, IEEE Trans. Inform. Theory 70 (2024), 8669–8674, doi:10.1109/tit.2024.3462593, arXiv:2403.04330.
7⁢x−3
14 601 0.429609183875 Henry Cohn, 2026, needs more optimization.
14 602 0.430053755572 Henry Cohn, 2026, needs more optimization.
14 603 0.430222246370 Henry Cohn, 2026, needs more optimization.
14 604 0.430246937487 Henry Cohn, 2026, needs more optimization.
14 605 0.430391535486 Henry Cohn, 2026, needs more optimization.
14 606 0.430430114650 Henry Cohn, 2026, needs more optimization.
14 607 0.430510475853 Henry Cohn, 2026, needs more optimization.
14 608 0.430571378387 Henry Cohn, 2026, needs more optimization.
14 609 0.430655634344 Henry Cohn, 2026, needs more optimization.
14 610 0.430957424023 Henry Cohn, 2026, needs more optimization.
14 611 0.431113578006 Henry Cohn, 2026, needs more optimization.
14 612 0.431251194929 Henry Cohn, 2026, needs more optimization.
14 613 0.431408003069 Henry Cohn, 2026, needs more optimization.
14 614 0.431620377539 Henry Cohn, 2026, needs more optimization.
14 615 0.431715587371 Henry Cohn, 2026, needs more optimization.
14 616 0.431835891132 Henry Cohn, 2026, needs more optimization.
14 617 0.431920450662 Henry Cohn, 2026, needs more optimization.
14 618 0.432010203118 Henry Cohn, 2026, needs more optimization.
14 619 0.432157438741 Henry Cohn, 2026, needs more optimization.
14 620 0.432217445864 Henry Cohn, 2026, needs more optimization.
14 621 0.432954484254 Henry Cohn, 2026, needs more optimization.
14 622 0.432987531354 Henry Cohn, 2026, needs more optimization.
14 623 0.433026597075 Henry Cohn, 2026, needs more optimization.
14 624 0.433072296505 Henry Cohn, 2026, needs more optimization.
14 625 0.433078846120 Henry Cohn, 2026, needs more optimization.
14 626 0.433087649348 Henry Cohn, 2026, needs more optimization.
14 627 0.433208738793 Henry Cohn, 2026, needs more optimization.
14 628 0.433275805579 Henry Cohn, 2026, needs more optimization.
14 629 0.433493925804 Henry Cohn, 2026, needs more optimization.
14 630 0.433511188255 Henry Cohn, 2026, needs more optimization.
14 631 0.433593058150 Henry Cohn, 2026, needs more optimization.
14 632 0.433602114744 Henry Cohn, 2026, needs more optimization.
14 633 0.433624641990 Henry Cohn, 2026, needs more optimization.
14 634 0.433704558032 Henry Cohn, 2026, needs more optimization.
14 635 0.433771205899 Henry Cohn, 2026, needs more optimization.
14 636 0.433799648615 Henry Cohn, 2026, needs more optimization.
14 637 0.433851926001 Henry Cohn, 2026, needs more optimization.
14 638 0.433905111288 Henry Cohn, 2026, needs more optimization.
14 639 0.433911691905 Henry Cohn, 2026, needs more optimization.
14 640 0.433954375172 Henry Cohn, 2026, needs more optimization.
14 641 0.434012658666 Henry Cohn, 2026, needs more optimization.
14 642 0.434171493169 Henry Cohn, 2026, needs more optimization.
14 643 0.434174582186 Henry Cohn, 2026, needs more optimization.
14 644 0.434211371704 Henry Cohn, 2026, needs more optimization.
14 645 0.434266752821 Henry Cohn, 2026, needs more optimization.
14 646 0.434956962654 Henry Cohn, 2026, needs more optimization.
14 647 0.435567763342 Henry Cohn, 2026, needs more optimization.
14 648 0.436671416526 Henry Cohn, 2026, needs more optimization.
14 649 0.437226698754 Henry Cohn, 2026, needs more optimization.
14 650 0.437319536647 Henry Cohn, 2026, needs more optimization.
14 651 0.437775258580 Henry Cohn, 2026, needs more optimization.
14 652 0.437791244639 Henry Cohn, 2026, needs more optimization.
14 653 0.438800353664 Henry Cohn, 2026, needs more optimization.
14 654 0.439315598547 Henry Cohn, 2026, needs more optimization.
14 655 0.439485968136 Henry Cohn, 2026, needs more optimization.
14 656 0.440441297229 Henry Cohn, 2026, needs more optimization.
14 657 0.440811342244 Henry Cohn, 2026, needs more optimization.
14 658 0.440825213626 Henry Cohn, 2026, needs more optimization.
14 659 0.440864923632 Henry Cohn, 2026, needs more optimization.
14 660 0.441417086449 Henry Cohn, 2026, needs more optimization.
14 661 0.441526557206 Henry Cohn, 2026, needs more optimization.
14 662 0.442182234602 Henry Cohn, 2026, needs more optimization.
14 663 0.442187127458 Henry Cohn, 2026, needs more optimization.
14 664 0.442782409306 Henry Cohn, 2026, needs more optimization.
14 665 0.443021401420 Henry Cohn, 2026, needs more optimization.
14 666 0.443754757608 Henry Cohn, 2026, needs more optimization.
14 667 0.444478760535 Henry Cohn, 2026, needs more optimization.
14 668 0.444532995490 Henry Cohn, 2026, needs more optimization.
14 669 0.444866864131 Henry Cohn, 2026, needs more optimization.
14 670 0.444920146071 Henry Cohn, 2026, needs more optimization.
14 671 0.445500362276 Henry Cohn, 2026, needs more optimization.
14 672 0.446302283350 Henry Cohn, 2026, needs more optimization.
14 673 0.446395831154 Henry Cohn, 2026, needs more optimization.
14 674 0.446492244031 Henry Cohn, 2026, needs more optimization.
14 675 0.446520063302 Henry Cohn, 2026, needs more optimization.
14 676 0.446905544246 Henry Cohn, 2026, needs more optimization.
14 677 0.447029503237 Henry Cohn, 2026, needs more optimization.
14 678 0.447152328632 Henry Cohn, 2026, needs more optimization.
14 679 0.447431240491 Henry Cohn, 2026, needs more optimization.
14 680 0.447698746429 Henry Cohn, 2026, needs more optimization.
14 681 0.447768937319 Henry Cohn, 2026, needs more optimization.
14 682 0.448144756492 Henry Cohn, 2026, needs more optimization.
14 683 0.448485607272 Henry Cohn, 2026, needs more optimization.
14 684 0.448527219705 Henry Cohn, 2026, needs more optimization.
14 685 0.448763203415 Henry Cohn, 2026, needs more optimization.
14 686 0.448877827324 Henry Cohn, 2026, needs more optimization.
14 687 0.448981215446 Henry Cohn, 2026, needs more optimization.
14 688 0.449138720073 Henry Cohn, 2026, needs more optimization.
14 689 0.449410682976 Henry Cohn, 2026, needs more optimization.
14 690 0.449453067826 Henry Cohn, 2026, needs more optimization.
14 691 0.449751616689 Henry Cohn, 2026, needs more optimization.
14 692 0.449840976387 Henry Cohn, 2026, needs more optimization.
14 693 0.450071745953 Henry Cohn, 2026, needs more optimization.
14 694 0.450300774401 Henry Cohn, 2026, needs more optimization.
14 695 0.450358926050 Henry Cohn, 2026, needs more optimization.
14 696 0.450622755852 Henry Cohn, 2026, needs more optimization.
14 697 0.450765617503 Henry Cohn, 2026, needs more optimization.
14 699 0.450902111472 Robert Dallara, 2026.
14 700 0.453478395359 Henry Cohn, 2026, needs more optimization.
14 701 0.453495497980 Henry Cohn, 2026, needs more optimization.
14 702 0.453512792203 Henry Cohn, 2026, needs more optimization.
14 703 0.453540538036 Henry Cohn, 2026, needs more optimization.
14 704 0.453562547923 Henry Cohn, 2026, needs more optimization.
14 705 0.453584155839 Henry Cohn, 2026, needs more optimization.
14 706 0.453629256069 Henry Cohn, 2026, needs more optimization.
14 707 0.453650749555 Henry Cohn, 2026, needs more optimization.
14 708 0.453689370697 Henry Cohn, 2026, needs more optimization.
14 709 0.453699076827 Henry Cohn, 2026, needs more optimization.
14 710 0.453714515318 Henry Cohn, 2026, needs more optimization.
14 711 0.453733947707 Henry Cohn, 2026, needs more optimization.
14 712 0.453748849328 Henry Cohn, 2026, needs more optimization.
14 713 0.453791255667 Henry Cohn, 2026, needs more optimization.
14 714 0.453820797216 Henry Cohn, 2026, needs more optimization.
14 715 0.453890447723 Henry Cohn, 2026, needs more optimization.
14 716 0.453937148850 Henry Cohn, 2026, needs more optimization.
14 717 0.454005814138 Henry Cohn, 2026, needs more optimization.
14 718 0.454077031615 Henry Cohn, 2026, needs more optimization.
14 719 0.454131154468 Henry Cohn, 2026, needs more optimization.
14 896 0.454545454546 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
11⁢x−5
14 897 0.454719198215 Henry Cohn, 2026, needs more optimization.
14 898 0.454766910288 Henry Cohn, 2026, needs more optimization.
14 899 0.454840723002 Henry Cohn, 2026, needs more optimization.
14 900 0.454856945225 Henry Cohn, 2026, needs more optimization.
14 901 0.454873033823 Henry Cohn, 2026, needs more optimization.
14 902 0.454894694514 Henry Cohn, 2026, needs more optimization.
14 903 0.454910425298 Henry Cohn, 2026, needs more optimization.
14 904 0.454940983944 Henry Cohn, 2026, needs more optimization.
14 905 0.454953690695 Henry Cohn, 2026, needs more optimization.
14 906 0.454982012538 Henry Cohn, 2026, needs more optimization.
14 907 0.455009075587 Henry Cohn, 2026, needs more optimization.
14 908 0.455017991436 Henry Cohn, 2026, needs more optimization.
14 909 0.455035484838 Henry Cohn, 2026, needs more optimization.
14 910 0.455071920744 Henry Cohn, 2026, needs more optimization.
14 911 0.455092366442 Henry Cohn, 2026, needs more optimization.
14 912 0.455106895988 Henry Cohn, 2026, needs more optimization.
14 913 0.455119460177 Henry Cohn, 2026, needs more optimization.
14 914 0.455133654615 Henry Cohn, 2026, needs more optimization.
14 915 0.455142351161 Henry Cohn, 2026, needs more optimization.
14 916 0.455183701276 Henry Cohn, 2026, needs more optimization.
14 917 0.455184983850 Henry Cohn, 2026, needs more optimization.
14 918 0.455201179963 Henry Cohn, 2026, needs more optimization.
14 919 0.455207828054 Henry Cohn, 2026, needs more optimization.
14 920 0.455217659814 Henry Cohn, 2026, needs more optimization.
14 921 0.455252802570 Henry Cohn, 2026, needs more optimization.
14 922 0.455296106581 Henry Cohn, 2026, needs more optimization.
14 923 0.455323010370 Henry Cohn, 2026, needs more optimization.
14 924 0.455329558435 Henry Cohn, 2026, needs more optimization.
14 925 0.455351187085 Henry Cohn, 2026, needs more optimization.
14 926 0.455358536853 Henry Cohn, 2026, needs more optimization.
14 927 0.455366108486 Henry Cohn, 2026, needs more optimization.
14 928 0.455369046090 Henry Cohn, 2026, needs more optimization.
14 929 0.455374079540 Henry Cohn, 2026, needs more optimization.
14 930 0.455378547481 Henry Cohn, 2026, needs more optimization.
14 931 0.455380549354 Henry Cohn, 2026, needs more optimization.
14 932 0.455388141681 Henry Cohn, 2026, needs more optimization.
14 933 0.455393477142 Henry Cohn, 2026, needs more optimization.
14 934 0.455394903025 Henry Cohn, 2026, needs more optimization.
14 935 0.455397011091 Henry Cohn, 2026, needs more optimization.
14 936 0.455402839627 Henry Cohn, 2026, needs more optimization.
14 937 0.455408310271 Henry Cohn, 2026, needs more optimization.
14 938 0.455412874313 Henry Cohn, 2026, needs more optimization.
14 939 0.455418946114 Henry Cohn, 2026, needs more optimization.
14 940 0.455424786212 Henry Cohn, 2026, needs more optimization.
14 941 0.455428861220 Henry Cohn, 2026, needs more optimization.
14 942 0.455435013979 Henry Cohn, 2026, needs more optimization.
14 943 0.455440165246 Henry Cohn, 2026, needs more optimization.
14 944 0.455446816358 Henry Cohn, 2026, needs more optimization.
14 945 0.455450473187 Henry Cohn, 2026, needs more optimization.
14 946 0.455456608038 Henry Cohn, 2026, needs more optimization.
14 947 0.455459479966 Henry Cohn, 2026, needs more optimization.
14 948 0.455469385093 Henry Cohn, 2026, needs more optimization.
14 949 0.455472887182 Henry Cohn, 2026, needs more optimization.
14 950 0.455477219976 Henry Cohn, 2026, needs more optimization.
14 951 0.455486007367 Henry Cohn, 2026, needs more optimization.
14 952 0.455492830830 Henry Cohn, 2026, needs more optimization.
14 953 0.455498348937 Henry Cohn, 2026, needs more optimization.
14 954 0.455509115967 Henry Cohn, 2026, needs more optimization.
14 955 0.455512256142 Henry Cohn, 2026, needs more optimization.
14 956 0.455520598806 Henry Cohn, 2026, needs more optimization.
14 957 0.455539834395 Henry Cohn, 2026, needs more optimization.
14 958 0.455546193089 Henry Cohn, 2026, needs more optimization.
14 959 0.455553479455 Henry Cohn, 2026, needs more optimization.
14 960 0.455556773580 Henry Cohn, 2026, needs more optimization.
14 961 0.455562800087 Henry Cohn, 2026, needs more optimization.
14 962 0.455567601596 Henry Cohn, 2026, needs more optimization.
14 963 0.455573220787 Henry Cohn, 2026, needs more optimization.
14 964 0.455585381593 Henry Cohn, 2026, needs more optimization.
14 965 0.455592436335 Henry Cohn, 2026, needs more optimization.
14 966 0.455598531985 Henry Cohn, 2026, needs more optimization.
14 967 0.455603817796 Henry Cohn, 2026, needs more optimization.
14 968 0.455609697519 Henry Cohn, 2026, needs more optimization.
14 969 0.455612696746 Henry Cohn, 2026, needs more optimization.
14 970 0.455615953962 Henry Cohn, 2026, needs more optimization.
14 971 0.455625942815 Henry Cohn, 2026, needs more optimization.
14 972 0.455631639105 Henry Cohn, 2026, needs more optimization.
14 973 0.455635598515 Henry Cohn, 2026, needs more optimization.
14 974 0.455639913304 Henry Cohn, 2026, needs more optimization.
14 975 0.455647038201 Henry Cohn, 2026, needs more optimization.
14 976 0.455654173076 Henry Cohn, 2026, needs more optimization.
14 977 0.455668757161 Henry Cohn, 2026, needs more optimization.
14 978 0.455674854033 Henry Cohn, 2026, needs more optimization.
14 979 0.455681498763 Henry Cohn, 2026, needs more optimization.
14 980 0.455684401755 Henry Cohn, 2026, needs more optimization.
14 981 0.455701618837 Henry Cohn, 2026, needs more optimization.
14 982 0.455703920731 Henry Cohn, 2026, needs more optimization.
14 983 0.455722056198 Henry Cohn, 2026, needs more optimization.
14 984 0.455726300460 Henry Cohn, 2026, needs more optimization.
14 985 0.455731647010 Henry Cohn, 2026, needs more optimization.
14 986 0.455738169310 Henry Cohn, 2026, needs more optimization.
14 987 0.455743069442 Henry Cohn, 2026, needs more optimization.
14 988 0.455747371607 Henry Cohn, 2026, needs more optimization.
14 989 0.455750732949 Henry Cohn, 2026, needs more optimization.
14 990 0.455753597270 Henry Cohn, 2026, needs more optimization.
14 991 0.455757066208 Henry Cohn, 2026, needs more optimization.
14 992 0.455763318725 Henry Cohn, 2026, needs more optimization.
14 993 0.455766917752 Henry Cohn, 2026, needs more optimization.
14 994 0.455770859961 Henry Cohn, 2026, needs more optimization.
14 995 0.455774601284 Henry Cohn, 2026, needs more optimization.
14 996 0.455780452420 Henry Cohn, 2026, needs more optimization.
14 997 0.455780930551 Henry Cohn, 2026, needs more optimization.
14 998 0.455784008784 Henry Cohn, 2026, needs more optimization.
14 999 0.455786929699 Henry Cohn, 2026, needs more optimization.
14 1000 0.455789370595 Henry Cohn, 2026, needs more optimization.
14 1001 0.455792306696 Henry Cohn, 2026, needs more optimization.
14 1002 0.455792427071 Henry Cohn, 2026, needs more optimization.
14 1003 0.455794315588 Henry Cohn, 2026, needs more optimization.
14 1004 0.455797724488 Henry Cohn, 2026, needs more optimization.
14 1005 0.455799255227 Henry Cohn, 2026, needs more optimization.
14 1006 0.455799341331 Henry Cohn, 2026, needs more optimization.
14 1007 0.455800733331 Henry Cohn, 2026, needs more optimization.
14 1008 0.455800814554 Henry Cohn, 2026, needs more optimization.
14 1009 0.455802667275 Henry Cohn, 2026, needs more optimization.
14 1010 0.455802741545 Henry Cohn, 2026, needs more optimization.
14 1011 0.455805288642 Henry Cohn, 2026, needs more optimization.
14 1012 0.455936026641 Henry Cohn, 2026, needs more optimization.
14 1013 0.455976578500 Henry Cohn, 2026, needs more optimization.
14 1014 0.456024048918 Henry Cohn, 2026, needs more optimization.
14 1015 0.456089547915 Henry Cohn, 2026, needs more optimization.
14 1016 0.456161722121 Henry Cohn, 2026, needs more optimization.
14 1017 0.456330582626 Henry Cohn, 2026, needs more optimization.
14 1018 0.456339361167 Henry Cohn, 2026, needs more optimization.
14 1019 0.457558056062 Henry Cohn, 2026, needs more optimization.
14 1020 0.457564660997 Henry Cohn, 2026, needs more optimization.
14 1021 0.457573587330 Henry Cohn, 2026, needs more optimization.
14 1022 0.457580619293 Henry Cohn, 2026, needs more optimization.
14 1023 0.457585135869 Henry Cohn, 2026, needs more optimization.
14 1024 0.457589680104 Henry Cohn, 2026, needs more optimization.
15 31 0.050237120373 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
2535⁢x3−225⁢x2−15⁢x+1
15 32 0.058900808489 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
15 33 0.062706770083 Henry Cohn, 2023.
Minimal polynomial listed in plain text data
15 34 0.066570393658 Henry Cohn, 2025.
15 35 0.070509992992 Henry Cohn, 2023.
15 36 0.070779968044 Henry Cohn, 2023.
5937⁢x4+412⁢x3−202⁢x2−4⁢x+1
15 37 0.078785666352 Henry Cohn, 2025.
15 38 0.079970260232 Henry Cohn, 2026.
15 39 0.082681671944 Henry Cohn, 2023.
347087⁢x8+1080416⁢x7+305012⁢x6+3648⁢x5−20054⁢x4−160⁢x3+276⁢x2−1
15 40 0.086159367074 Henry Cohn, 2023.
15 41 0.093058707265 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 42 0.096774023869 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 43 0.099863843733 Henry Cohn, 2025.
15 44 0.099976426707 Henry Cohn, 2025.
15 45 0.102626460761 Henry Cohn, 2026.
15 46 0.110795000982 Henry Cohn, 2025.
15 47 0.111165028345 Henry Cohn, 2026.
15 48 0.112184213927 Henry Cohn, 2026.
15 52 0.112912613537 Henry Cohn, 2025.
167⁢x2−10⁢x−1
15 57 0.115470053838 Henry Cohn, 2024.
75⁢x2−1
15 58 0.119568545339 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 61 0.128458591981 Henry Cohn, 2025.
263⁢x2−26⁢x−1
15 62 0.129608600589 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 63 0.129675225483 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 64 0.129675935255 Henry Cohn, 2026, needs more optimization.
15 65 0.129676247045 Henry Cohn, 2026, needs more optimization.
15 66 0.142849849465 Henry Cohn, 2025.
15 67 0.144244923465 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
25⁢x2−66⁢x+9
15 68 0.146740170078 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 69 0.155287992922 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
193⁢x3−65⁢x2−x+1
15 70 0.160964563056 Henry Cohn, 2024.
15 73 0.161462093425 Henry Cohn, 2026.
3527⁢x2−266⁢x−49
15 74 0.168231259681 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 75 0.168258837686 Henry Cohn, 2026, needs more optimization.
15 76 0.168263507000 Luke Granto, 2026.
15 77 0.168269011121 Luke Granto, 2026.
15 78 0.168275511482 Henry Cohn, 2026, needs more optimization.
15 92 0.168685175113 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
47⁢x2−2⁢x−1
15 93 0.169916676995 Henry Cohn, 2025.
169⁢x4−56⁢x3−30⁢x2+1
15 94 0.186144699040 Henry Cohn, 2026, needs more optimization.
15 95 0.187077042678 Henry Cohn, 2026.
15 96 0.187885637085 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 97 0.188664973569 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 99 0.188666328567 Henry Cohn, 2026.
15 100 0.189707861448 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 101 0.197670114703 Henry Cohn, 2026, needs more optimization.
15 102 0.197751520376 Henry Cohn, 2026.
4455⁢x4+7056⁢x3−8616⁢x2+2688⁢x−256
15 108 0.199301661815 Henry Cohn, 2026.
347⁢x2−24⁢x−9
15 128 0.2 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
5⁢x−1
15 129 0.209693852047 Henry Cohn, 2026.
2025⁢x4−672⁢x3−312⁢x2+16
15 130 0.216435024260 Henry Cohn, 2026.
15 131 0.219738142735 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 132 0.221691092951 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 133 0.222982964951 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 134 0.223042839303 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 135 0.223068626265 Henry Cohn, 2026, needs more optimization.
15 136 0.225822528269 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 137 0.226886048633 Henry Cohn, 2026, needs more optimization.
15 142 0.227160244714 Henry Cohn, 2026.
75⁢x4+130⁢x3+30⁢x2−10⁢x−1
15 143 0.231969852439 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 144 0.235179288244 Henry Cohn, 2026, needs more optimization.
15 145 0.237406456442 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 146 0.237726828468 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 147 0.237805658446 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 148 0.238424003232 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 149 0.238749624763 Henry Cohn, 2026, needs more optimization.
15 150 0.239511954206 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 151 0.239558257199 Henry Cohn, 2026, needs more optimization.
15 152 0.244361635808 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 153 0.245232882663 Henry Cohn, 2026, needs more optimization.
15 156 0.248124762895 Henry Cohn, 2026, needs more optimization.
15 157 0.249069470433 Henry Cohn, 2026.
15 158 0.252500157923 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 159 0.252897434966 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 160 0.253443246579 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 161 0.254174550894 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 162 0.255968855596 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 163 0.256237001988 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 164 0.256239216599 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 165 0.256264995436 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 166 0.256265659710 Henry Cohn, 2026, needs more optimization.
15 167 0.256273894864 Henry Cohn, 2026, needs more optimization.
15 168 0.256276537352 Henry Cohn, 2026, needs more optimization.
15 169 0.257035710428 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 170 0.257064706475 Henry Cohn, 2026, needs more optimization.
15 171 0.257517093459 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 172 0.257543207554 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 173 0.258270062887 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 183 0.258354910554 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 184 0.259525724256 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 185 0.259982835248 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 186 0.260377731948 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 187 0.260799052056 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 188 0.261259957520 Henry Cohn, 2026, needs more optimization.
15 189 0.261669493406 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 190 0.261678269302 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 191 0.261682867262 Henry Cohn, 2026, needs more optimization.
15 192 0.261728896834 Henry Cohn, 2026, needs more optimization.
15 193 0.261731575861 Henry Cohn, 2026, needs more optimization.
15 194 0.261771973594 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 195 0.261800246688 Henry Cohn, 2026, needs more optimization.
15 196 0.261873311157 Henry Cohn, 2026, needs more optimization.
15 197 0.261931181525 Henry Cohn, 2026, needs more optimization.
15 198 0.261931287120 Henry Cohn, 2026, needs more optimization.
15 199 0.261942195760 Henry Cohn, 2026, needs more optimization.
15 200 0.263201765701 Henry Cohn, 2026, needs more optimization.
15 201 0.263684547558 Henry Cohn, 2026, needs more optimization.
15 202 0.264355269068 Henry Cohn, 2026, needs more optimization.
15 203 0.264553509421 Henry Cohn, 2026, needs more optimization.
15 204 0.264747030122 Henry Cohn, 2026, needs more optimization.
15 205 0.264975671746 Henry Cohn, 2026, needs more optimization.
15 206 0.265135148929 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 207 0.265362781064 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 208 0.265513024367 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 209 0.265651283268 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 214 0.265700305150 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 218 0.265700305150 Henry Cohn, 2026, needs more optimization.
15 219 0.266188281266 Henry Cohn, 2026, needs more optimization.
15 220 0.266583431141 Henry Cohn, 2026.
22009⁢x6+8374⁢x5−1553⁢x4−516⁢x3−81⁢x2−18⁢x+9
15 221 0.273150769638 Henry Cohn, 2026.
1600⁢x4−1512⁢x3−792⁢x2+81
15 222 0.282491872356 Henry Cohn, 2026, needs more optimization.
15 223 0.283025450400 Henry Cohn, 2026, needs more optimization.
15 224 0.283864252188 Henry Cohn, 2026, needs more optimization.
15 240 0.284034672467 Henry Cohn, 2026.
527⁢x2−118⁢x−9
15 241 0.284823643299 Henry Cohn, 2026, needs more optimization.
15 242 0.285672470103 Henry Cohn, 2026, needs more optimization.
15 243 0.286368314036 Henry Cohn, 2026, needs more optimization.
15 244 0.286850739056 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 245 0.287238196824 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 246 0.287601117830 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 247 0.287883854977 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 248 0.288361167093 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 249 0.291752312754 Henry Cohn, 2026, needs more optimization.
15 250 0.294425204834 Henry Cohn, 2026, needs more optimization.
15 251 0.296508364862 Henry Cohn, 2026, needs more optimization.
15 252 0.297451552586 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 253 0.297826351688 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 254 0.297925369355 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 256 0.297926304913 Henry Cohn, 2026.
15 257 0.301101206435 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 258 0.304143233195 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 259 0.305490507082 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 260 0.305826317905 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 261 0.308188731193 Henry Cohn, 2026, needs more optimization.
15 262 0.308895271718 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 263 0.309285922252 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 264 0.309577229343 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 265 0.311790966018 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 266 0.313196670937 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 267 0.314655099411 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 268 0.315473062934 Henry Cohn, 2026, needs more optimization.
15 269 0.315881598654 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 270 0.316467012865 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 271 0.318946389184 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 272 0.320918037520 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 273 0.323175617055 Henry Cohn, 2026, needs more optimization.
15 274 0.323714960138 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 275 0.324597040299 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 276 0.326938883982 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 277 0.329934070566 Henry Cohn, 2026, needs more optimization.
15 278 0.331003210801 Henry Cohn, 2026, needs more optimization.
15 279 0.332708961308 Henry Cohn, 2026, needs more optimization.
15 320 0.333333333334 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
3⁢x−1
15 321 0.339291275065 Henry Cohn, 2026, needs more optimization.
15 322 0.340371829041 Henry Cohn, 2026, needs more optimization.
15 323 0.341167438482 Henry Cohn, 2026, needs more optimization.
15 324 0.341829403425 Henry Cohn, 2026, needs more optimization.
15 325 0.342381304973 Henry Cohn, 2026, needs more optimization.
15 326 0.342760909641 Henry Cohn, 2026, needs more optimization.
15 327 0.343116640323 Henry Cohn, 2026, needs more optimization.
15 328 0.343550694576 Henry Cohn, 2026, needs more optimization.
15 329 0.343818881585 Henry Cohn, 2026, needs more optimization.
15 330 0.344476275382 Henry Cohn, 2026, needs more optimization.
15 331 0.345232819095 Henry Cohn, 2026, needs more optimization.
15 332 0.345738255465 Henry Cohn, 2026, needs more optimization.
15 333 0.346487078262 Henry Cohn, 2026, needs more optimization.
15 334 0.346836198846 Henry Cohn, 2026, needs more optimization.
15 335 0.347059953895 Henry Cohn, 2026, needs more optimization.
15 336 0.347469587297 Henry Cohn, 2026, needs more optimization.
15 337 0.347599288688 Henry Cohn, 2026, needs more optimization.
15 338 0.347996879749 Henry Cohn, 2026, needs more optimization.
15 339 0.348165970964 Henry Cohn, 2026, needs more optimization.
15 340 0.348370633702 Henry Cohn, 2026, needs more optimization.
15 341 0.348550070010 Henry Cohn, 2026, needs more optimization.
15 342 0.348830100054 Henry Cohn, 2026, needs more optimization.
15 343 0.349068338168 Henry Cohn, 2026, needs more optimization.
15 344 0.349234884814 Henry Cohn, 2026, needs more optimization.
15 345 0.349398570577 Henry Cohn, 2026, needs more optimization.
15 346 0.349616337173 Henry Cohn, 2026, needs more optimization.
15 347 0.350144339374 Henry Cohn, 2026, needs more optimization.
15 348 0.350468199275 Henry Cohn, 2026, needs more optimization.
15 349 0.350824219700 Henry Cohn, 2026, needs more optimization.
15 350 0.351096057004 Henry Cohn, 2026, needs more optimization.
15 351 0.351295758262 Henry Cohn, 2026, needs more optimization.
15 352 0.351434623640 Henry Cohn, 2026, needs more optimization.
15 353 0.351711341236 Henry Cohn, 2026, needs more optimization.
15 354 0.352269016770 Henry Cohn, 2026, needs more optimization.
15 355 0.352542014473 Henry Cohn, 2026, needs more optimization.
15 356 0.352743605294 Henry Cohn, 2026, needs more optimization.
15 357 0.352948143978 Henry Cohn, 2026, needs more optimization.
15 358 0.353274961980 Henry Cohn, 2026, needs more optimization.
15 359 0.353524421794 Henry Cohn, 2026, needs more optimization.
15 360 0.353747553049 Henry Cohn, 2026, needs more optimization.
15 361 0.354112578295 Henry Cohn, 2026, needs more optimization.
15 362 0.354459116110 Henry Cohn, 2026, needs more optimization.
15 363 0.354826920344 Henry Cohn, 2026, needs more optimization.
15 364 0.355061157801 Henry Cohn, 2026, needs more optimization.
15 365 0.355329621117 Henry Cohn, 2026, needs more optimization.
15 366 0.355565064875 Henry Cohn, 2026, needs more optimization.
15 367 0.355566262703 Henry Cohn, 2026, needs more optimization.
15 368 0.355574701939 Henry Cohn, 2026, needs more optimization.
15 369 0.355616333969 Henry Cohn, 2026, needs more optimization.
15 370 0.355667523957 Henry Cohn, 2026, needs more optimization.
15 371 0.355669696710 Henry Cohn, 2026, needs more optimization.
15 372 0.355689681322 Henry Cohn, 2026, needs more optimization.
15 373 0.355789815474 Henry Cohn, 2026, needs more optimization.
15 374 0.356836172867 Henry Cohn, 2026, needs more optimization.
15 375 0.356845652172 Henry Cohn, 2026, needs more optimization.
15 376 0.357060553164 Henry Cohn, 2026, needs more optimization.
15 377 0.358253506808 Henry Cohn, 2026, needs more optimization.
15 378 0.358263141909 Henry Cohn, 2026, needs more optimization.
15 379 0.358283294944 Henry Cohn, 2026, needs more optimization.
15 380 0.358286656568 Henry Cohn, 2026, needs more optimization.
15 381 0.360080788744 Henry Cohn, 2026, needs more optimization.
15 382 0.360734893572 Henry Cohn, 2026, needs more optimization.
15 383 0.361398740468 Henry Cohn, 2026, needs more optimization.
15 384 0.362686496058 Henry Cohn, 2026, needs more optimization.
15 385 0.363038503217 Henry Cohn, 2026, needs more optimization.
15 386 0.363873717386 Henry Cohn, 2026, needs more optimization.
15 387 0.364543873010 Henry Cohn, 2026, needs more optimization.
15 388 0.365650789607 Henry Cohn, 2026, needs more optimization.
15 389 0.366149129394 Henry Cohn, 2026, needs more optimization.
15 390 0.366758305554 Henry Cohn, 2026, needs more optimization.
15 391 0.366758587948 Robert Dallara, 2026.
15 392 0.367945346617 Henry Cohn, 2026, needs more optimization.
15 393 0.368559701634 Henry Cohn, 2026, needs more optimization.
15 394 0.368923180652 Henry Cohn, 2026, needs more optimization.
15 395 0.369455747819 Henry Cohn, 2026, needs more optimization.
15 396 0.370024819338 Henry Cohn, 2026, needs more optimization.
15 397 0.370266340379 Henry Cohn, 2026, needs more optimization.
15 424 0.370431040067 Henry Cohn, 2026.
287⁢x2−190⁢x+31
15 425 0.370431040067 A. Kravatsky, V. Khrulkov, and I. Oseledets, ImprovEvolve: basin-hopping meets LLM-guided evolutionary search, ICML 2026 AI4Math Workshop Poster, https://openreview.net/forum?id=nE1q0gRDNr, arXiv:2602.10233, after some further optimization.
287⁢x2−190⁢x+31
15 426 0.371518477638 Robert Dallara, 2026.
15 427 0.373359950839 Henry Cohn, 2026, needs more optimization.
15 428 0.373373271930 Henry Cohn, 2026, needs more optimization.
15 429 0.373486545678 Henry Cohn, 2026, needs more optimization.
15 430 0.373504157837 Henry Cohn, 2026, needs more optimization.
15 431 0.373599577676 Henry Cohn, 2026, needs more optimization.
15 432 0.373941291613 Henry Cohn, 2026, needs more optimization.
15 433 0.374381249313 Henry Cohn, 2026, needs more optimization.
15 434 0.374402800529 Henry Cohn, 2026, needs more optimization.
15 435 0.374425051689 Henry Cohn, 2026, needs more optimization.
15 436 0.374445865243 Henry Cohn, 2026, needs more optimization.
15 437 0.374641618749 Henry Cohn, 2026, needs more optimization.
15 438 0.374712038725 Henry Cohn, 2026, needs more optimization.
15 439 0.374745745450 Henry Cohn, 2026, needs more optimization.
15 440 0.374777226648 Henry Cohn, 2026, needs more optimization.
15 441 0.374968838089 Henry Cohn, 2026, needs more optimization.
15 442 0.374970547360 Henry Cohn, 2026, needs more optimization.
15 443 0.375082235799 Henry Cohn, 2026, needs more optimization.
15 444 0.375113460978 Henry Cohn, 2026, needs more optimization.
15 445 0.375225223952 Henry Cohn, 2026, needs more optimization.
15 464 0.376462890261 Henry Cohn, 2026.
3864⁢x3−157⁢x2−1134⁢x+243
15 466 0.376621608297 Henry Cohn, 2026, needs more optimization.
15 467 0.381192013191 Henry Cohn, 2026, needs more optimization.
15 468 0.382726525407 Henry Cohn, 2026, needs more optimization.
15 469 0.383963261010 Henry Cohn, 2026, needs more optimization.
15 470 0.385340661355 Henry Cohn, 2026, needs more optimization.
15 471 0.386196831193 Henry Cohn, 2026, needs more optimization.
15 472 0.386904783459 Henry Cohn, 2026, needs more optimization.
15 480 0.387503295973 Henry Cohn, 2026, needs more optimization.
15 481 0.390133901117 Henry Cohn, 2026, needs more optimization.
15 482 0.392329483892 Henry Cohn, 2026, needs more optimization.
15 483 0.392338249156 Henry Cohn, 2026, needs more optimization.
15 484 0.392361614244 Henry Cohn, 2026, needs more optimization.
15 485 0.392368797826 Henry Cohn, 2026, needs more optimization.
15 486 0.392419516689 Henry Cohn, 2026, needs more optimization.
15 487 0.392419808589 Henry Cohn, 2026, needs more optimization.
15 488 0.392448401669 Henry Cohn, 2026, needs more optimization.
15 489 0.392497014864 Henry Cohn, 2026, needs more optimization.
15 490 0.392498042420 Henry Cohn, 2026, needs more optimization.
15 491 0.392504452099 Henry Cohn, 2026, needs more optimization.
15 504 0.392511614936 Robert Dallara, 2026.
15 505 0.393008694522 Henry Cohn, 2026, needs more optimization.
15 506 0.393044614520 Henry Cohn, 2026, needs more optimization.
15 507 0.393140306165 Henry Cohn, 2026, needs more optimization.
15 508 0.393141735365 Henry Cohn, 2026, needs more optimization.
15 509 0.393304266649 Henry Cohn, 2026, needs more optimization.
15 510 0.393408853497 Henry Cohn, 2026, needs more optimization.
15 511 0.393874637089 Henry Cohn, 2026, needs more optimization.
15 512 0.393890969981 Henry Cohn, 2026, needs more optimization.
15 513 0.393896692645 Henry Cohn, 2026, needs more optimization.
15 514 0.394022354817 Henry Cohn, 2026, needs more optimization.
15 515 0.394053742708 Henry Cohn, 2026, needs more optimization.
15 516 0.394251152021 Henry Cohn, 2026, needs more optimization.
15 517 0.394318851588 Henry Cohn, 2026, needs more optimization.
15 518 0.394663693965 Henry Cohn, 2026, needs more optimization.
15 519 0.394879230086 Henry Cohn, 2026, needs more optimization.
15 520 0.395130577203 Henry Cohn, 2026, needs more optimization.
15 521 0.395279441891 Henry Cohn, 2026, needs more optimization.
15 522 0.395564800711 Henry Cohn, 2026, needs more optimization.
15 523 0.395764675716 Henry Cohn, 2026, needs more optimization.
15 524 0.396030391206 Henry Cohn, 2026, needs more optimization.
15 525 0.396070056397 Henry Cohn, 2026, needs more optimization.
15 526 0.396110457731 Henry Cohn, 2026, needs more optimization.
15 527 0.396559517701 Henry Cohn, 2026, needs more optimization.
15 528 0.396569670543 Henry Cohn, 2026, needs more optimization.
15 529 0.396810833859 Henry Cohn, 2026, needs more optimization.
15 539 0.396893602789 Robert Dallara, 2026.
15 540 0.398517753204 Henry Cohn, 2026, needs more optimization.
15 541 0.398592998615 Henry Cohn, 2026, needs more optimization.
15 542 0.398705770489 Henry Cohn, 2026, needs more optimization.
15 543 0.398775068893 Henry Cohn, 2026, needs more optimization.
15 544 0.399074164622 Henry Cohn, 2026, needs more optimization.
15 545 0.399113951221 Henry Cohn, 2026, needs more optimization.
15 546 0.399334737987 Henry Cohn, 2026, needs more optimization.
15 547 0.399632357995 Henry Cohn, 2026, needs more optimization.
15 672 0.4 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
5⁢x−2
15 688 0.4 Henry Cohn, 2025, by enlarging a code from T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
5⁢x−2
15 689 0.404117037740 Henry Cohn, 2026.
768⁢x9−3328⁢x8−1152⁢x7+896⁢x6+528⁢x5+16⁢x4−72⁢x3−8⁢x2+3⁢x−1
15 690 0.407439006123 Henry Cohn, 2026, needs more optimization.
15 691 0.410953440907 Henry Cohn, 2026, needs more optimization.
15 692 0.413562841434 Henry Cohn, 2026, needs more optimization.
15 693 0.414180677911 Henry Cohn, 2026, needs more optimization.
15 694 0.414195188654 Henry Cohn, 2026, needs more optimization.
15 695 0.414411071591 Henry Cohn, 2026, needs more optimization.
15 696 0.414653961074 Henry Cohn, 2026, needs more optimization.
15 697 0.415696575572 Henry Cohn, 2026, needs more optimization.
15 698 0.416621652264 Henry Cohn, 2026, needs more optimization.
15 699 0.417743389959 Henry Cohn, 2026, needs more optimization.
15 700 0.417752248085 Henry Cohn, 2026, needs more optimization.
15 701 0.418064004101 Henry Cohn, 2026, needs more optimization.
15 702 0.418401270054 Henry Cohn, 2026, needs more optimization.
15 703 0.418583314071 Henry Cohn, 2026, needs more optimization.
15 704 0.418803944473 Henry Cohn, 2026, needs more optimization.
15 705 0.419255252979 Henry Cohn, 2026, needs more optimization.
15 706 0.419667569470 Henry Cohn, 2026, needs more optimization.
15 707 0.420428787764 Henry Cohn, 2026, needs more optimization.
15 708 0.420578527371 Henry Cohn, 2026, needs more optimization.
15 709 0.420934511978 Henry Cohn, 2026, needs more optimization.
15 710 0.420978775223 Henry Cohn, 2026, needs more optimization.
15 711 0.421051899908 Henry Cohn, 2026, needs more optimization.
15 712 0.421219002043 Henry Cohn, 2026, needs more optimization.
15 713 0.421326291341 Henry Cohn, 2026, needs more optimization.
15 714 0.421440733569 Henry Cohn, 2026, needs more optimization.
15 715 0.421602557429 Henry Cohn, 2026, needs more optimization.
15 716 0.421817580506 Henry Cohn, 2026, needs more optimization.
15 717 0.422130760220 Henry Cohn, 2026, needs more optimization.
15 718 0.422327752856 Henry Cohn, 2026, needs more optimization.
15 719 0.422630884809 Henry Cohn, 2026, needs more optimization.
15 720 0.422830774095 Henry Cohn, 2026, needs more optimization.
15 721 0.423000731740 Henry Cohn, 2026, needs more optimization.
15 722 0.423247445283 Henry Cohn, 2026, needs more optimization.
15 723 0.423564812740 Henry Cohn, 2026, needs more optimization.
15 724 0.423840230184 Henry Cohn, 2026, needs more optimization.
15 725 0.424178015911 Henry Cohn, 2026, needs more optimization.
15 726 0.424346141112 Henry Cohn, 2026, needs more optimization.
15 727 0.424521048688 Henry Cohn, 2026, needs more optimization.
15 728 0.424714697353 Henry Cohn, 2026, needs more optimization.
15 729 0.425034587197 Henry Cohn, 2026, needs more optimization.
15 730 0.425114753819 Henry Cohn, 2026, needs more optimization.
15 731 0.425312384717 Henry Cohn, 2026, needs more optimization.
15 732 0.425480529642 Henry Cohn, 2026, needs more optimization.
15 733 0.425629425492 Henry Cohn, 2026, needs more optimization.
15 734 0.425816152864 Henry Cohn, 2026, needs more optimization.
15 735 0.426015164468 Henry Cohn, 2026, needs more optimization.
15 736 0.426104536790 Henry Cohn, 2026, needs more optimization.
15 737 0.426443764219 Henry Cohn, 2026, needs more optimization.
15 738 0.426650020376 Henry Cohn, 2026, needs more optimization.
15 739 0.426758052230 Henry Cohn, 2026, needs more optimization.
15 740 0.427037429709 Henry Cohn, 2026, needs more optimization.
15 741 0.427282268298 Henry Cohn, 2026, needs more optimization.
15 742 0.427392403299 Henry Cohn, 2026, needs more optimization.
15 743 0.427621100373 Henry Cohn, 2026, needs more optimization.
15 744 0.427677691358 Henry Cohn, 2026, needs more optimization.
15 745 0.427857891781 Henry Cohn, 2026, needs more optimization.
15 746 0.427953687656 Henry Cohn, 2026, needs more optimization.
15 747 0.428130326166 Henry Cohn, 2026, needs more optimization.
15 748 0.428318681173 Henry Cohn, 2026, needs more optimization.
15 749 0.428527492231 Henry Cohn, 2026, needs more optimization.
15 990 0.428571428572 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
7⁢x−3
15 991 0.439533617266 Henry Cohn, 2026, needs more optimization.
15 992 0.443365779559 Henry Cohn, 2026, needs more optimization.
15 993 0.445282649619 Henry Cohn, 2026, needs more optimization.
15 994 0.446043457030 Henry Cohn, 2026, needs more optimization.
15 995 0.446737400181 Henry Cohn, 2026, needs more optimization.
15 996 0.447732319580 Henry Cohn, 2026, needs more optimization.
15 997 0.448166311902 Henry Cohn, 2026, needs more optimization.
15 998 0.448482737099 Henry Cohn, 2026, needs more optimization.
15 999 0.449825605169 Henry Cohn, 2026, needs more optimization.
15 1000 0.450504842608 Henry Cohn, 2026, needs more optimization.
15 1001 0.451682623395 Henry Cohn, 2026, needs more optimization.
15 1024 0.454545454546 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
11⁢x−5
16 33 0.047421028894 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
3136⁢x3−256⁢x2−16⁢x+1
16 34 0.055555555556 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
18⁢x−1
16 36 0.056002309435 Henry Cohn, 2023.
176⁢x2+8⁢x−1
16 38 0.065186804094 Henry Cohn, 2023.
7312⁢x4+864⁢x3−200⁢x2−8⁢x+1
16 39 0.074285234713 Henry Cohn, 2025.
16 40 0.077433436468 Henry Cohn, 2024.
16 41 0.078328485376 Henry Cohn, 2023.
16 42 0.084589607356 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
16 44 0.085376587737 Henry Cohn, 2023.
512⁢x2−32⁢x−1
16 45 0.090651346396 Henry Cohn, 2023.
Minimal polynomial listed in plain text data
16 46 0.093714773474 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
793984⁢x8+2769888⁢x7−316860⁢x6−393992⁢x5−62620⁢x4−1308⁢x3+460⁢x2+40⁢x+1
16 47 0.097443031003 Henry Cohn, 2025.
16 48 0.098771717854 Henry Cohn, 2023.
143⁢x2−4⁢x−1
16 49 0.104996942285 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
16 50 0.108589157773 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
16 51 0.110326320630 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
16 52 0.111429561416 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 53 0.112355100713 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
16 54 0.112897448890 Henry Cohn, 2026.
16 55 0.113130733100 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
16 58 0.113835450316 Henry Cohn, 2026.
288⁢x2−24⁢x−1
16 59 0.115465967185 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
16 60 0.115470027179 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
16 61 0.119282864595 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
16 62 0.125768177302 Henry Cohn, 2025.
16 63 0.127282227872 Henry Cohn, 2026, needs more optimization.
16 74 0.127284656799 Henry Cohn, 2023.
156⁢x2−12⁢x−1
16 75 0.142327657262 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 76 0.155902751479 Luke Granto, 2026.
16 77 0.156169461704 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 78 0.156302281795 Henry Cohn, 2026, needs more optimization.
16 79 0.156684314968 Luke Granto, 2026.
16 80 0.156933571315 Henry Cohn, 2026, needs more optimization.
16 81 0.157220506242 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 82 0.158219981270 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 83 0.158831583908 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
16 84 0.159473252851 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17856⁢x3+2064⁢x2−476⁢x−49
16 85 0.161129083237 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 86 0.168621124226 Henry Cohn, 2026, needs more optimization.
16 87 0.168626284313 Henry Cohn, 2026, needs more optimization.
16 88 0.168628842026 Henry Cohn, 2026, needs more optimization.
16 89 0.168633914730 Henry Cohn, 2026, needs more optimization.
16 90 0.168642022852 Henry Cohn, 2026, needs more optimization.
16 91 0.168682639832 Henry Cohn, 2026, needs more optimization.
16 92 0.168684604646 Henry Cohn, 2025, needs more optimization.
16 93 0.168684785145 Henry Cohn, 2026, needs more optimization.
16 94 0.168684943106 Henry Cohn, 2026, needs more optimization.
16 95 0.168685176456 Henry Cohn, 2026, needs more optimization.
16 96 0.168685177103 Henry Cohn, 2026, needs more optimization.
16 97 0.169880657610 Henry Cohn, 2026, needs more optimization.
16 102 0.170753175474 Henry Cohn, 2026.
128⁢x2−16⁢x−1
16 103 0.174178397911 Henry Cohn, 2026.
2025⁢x4−180⁢x3−116⁢x2−8⁢x+4
16 104 0.179202077062 Henry Cohn, 2026.
16 105 0.183397573886 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 106 0.185700040468 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 107 0.188003446628 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 108 0.190646755749 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 109 0.191576315671 Henry Cohn, 2026, needs more optimization.
16 110 0.192021242735 Henry Cohn, 2026, needs more optimization.
16 111 0.192290990057 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 112 0.192358113252 Henry Cohn, 2026, needs more optimization.
16 113 0.192449788122 Henry Cohn, 2026, needs more optimization.
16 114 0.192449840775 Henry Cohn, 2026, needs more optimization.
16 115 0.192449853269 Henry Cohn, 2026, needs more optimization.
16 116 0.192449917420 Henry Cohn, 2026, needs more optimization.
16 117 0.192449946838 Henry Cohn, 2026, needs more optimization.
16 118 0.192450089730 Henry Cohn, 2026.
27⁢x2−1
16 122 0.198089808558 Kevin Li, 2026.
167044⁢x4+7656⁢x3−8896⁢x2−84⁢x+49
16 123 0.199972776464 Henry Cohn, 2026, needs more optimization.
16 124 0.199989165718 Henry Cohn, 2026, needs more optimization.
16 125 0.199991233023 Henry Cohn, 2026, needs more optimization.
16 126 0.199992543456 Henry Cohn, 2026, needs more optimization.
16 127 0.199995845425 Henry Cohn, 2025, needs more optimization.
16 128 0.199998152336 Henry Cohn, 2026, needs more optimization.
16 129 0.199999707750 Henry Cohn, 2026, needs more optimization.
16 130 0.199999918321 Henry Cohn, 2025, needs more optimization.
16 132 0.2 Henry Cohn, 2026.
5⁢x−1
16 133 0.201680197728 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 159 0.202913709779 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
44⁢x2−4⁢x−1
16 160 0.204972875483 Henry Cohn, 2026, needs more optimization.
16 161 0.221562135223 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 162 0.229540738948 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 165 0.230995927542 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
744016⁢x8−1439648⁢x7+1078648⁢x6−387608⁢x5+60577⁢x4+460⁢x3−1250⁢x2+100⁢x+1
16 166 0.234433486339 Vadim Borisov, 2026, https://numaro.tech/.
16 169 0.236031010307 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 170 0.237448797461 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 171 0.238394471457 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 173 0.239265173403 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 174 0.241218958758 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 175 0.242225294068 Vadim Borisov, 2026, https://numaro.tech/.
16 176 0.244613388829 Henry Cohn, 2026, needs more optimization.
16 177 0.245299940592 Henry Cohn, 2026, needs more optimization.
16 178 0.245466691906 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 179 0.245487680122 Henry Cohn, 2026, needs more optimization.
16 180 0.245673509919 Henry Cohn, 2026, needs more optimization.
16 181 0.245803620272 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 182 0.246088878825 Henry Cohn, 2026, needs more optimization.
16 183 0.246238546542 Henry Cohn, 2026, needs more optimization.
16 184 0.246422133715 Henry Cohn, 2026, needs more optimization.
16 185 0.246688215586 Henry Cohn, 2026, needs more optimization.
16 186 0.246792312937 Henry Cohn, 2026, needs more optimization.
16 187 0.246983017054 Henry Cohn, 2026, needs more optimization.
16 188 0.247168983388 Henry Cohn, 2026, needs more optimization.
16 189 0.247273671932 Henry Cohn, 2026, needs more optimization.
16 190 0.247339932134 Henry Cohn, 2026, needs more optimization.
16 191 0.248282850170 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 192 0.248473734545 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 193 0.248654201905 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 194 0.248893790902 Henry Cohn, 2026, needs more optimization.
16 195 0.249048060662 Henry Cohn, 2026, needs more optimization.
16 196 0.249197814444 Henry Cohn, 2026, needs more optimization.
16 197 0.249334243800 Henry Cohn, 2026, needs more optimization.
16 198 0.249445805230 Henry Cohn, 2026, needs more optimization.
16 199 0.249640531857 Henry Cohn, 2026, needs more optimization.
16 200 0.249690683129 Henry Cohn, 2026, needs more optimization.
16 201 0.249786472483 Henry Cohn, 2026, needs more optimization.
16 202 0.249829843248 Henry Cohn, 2026, needs more optimization.
16 203 0.249883120367 Henry Cohn, 2026, needs more optimization.
16 204 0.249922590406 Henry Cohn, 2026, needs more optimization.
16 205 0.249940321451 Henry Cohn, 2026, needs more optimization.
16 206 0.249972302556 Henry Cohn, 2026, needs more optimization.
16 207 0.249979341165 Henry Cohn, 2026, needs more optimization.
16 208 0.249985209471 Henry Cohn, 2026, needs more optimization.
16 209 0.249990249243 Henry Cohn, 2026, needs more optimization.
16 210 0.249994503677 Henry Cohn, 2026, needs more optimization.
16 211 0.249995762235 Henry Cohn, 2026, needs more optimization.
16 288* 0.25 V. I. Levenšteĭn, Bounds for the maximal cardinality of a code with bounded modulus of the inner product (Russian), Dokl. Akad. Nauk SSSR 263 (1982), 1303–1308, English translation in Soviet Math. Dokl. 25 (1982), 526–531; H. Cohn, D. de Laat, and N. Leijenhorst, Optimality of spherical codes via exact semidefinite programming bounds, preprint, 2024, arXiv:2403.16874.
4⁢x−1
16 289 0.285672436063 Henry Cohn, 2026, needs more optimization.
16 290 0.288751039799 Henry Cohn, 2026, needs more optimization.
16 291 0.294585849188 Henry Cohn, 2026, needs more optimization.
16 292 0.294705214502 Henry Cohn, 2026, needs more optimization.
16 294 0.294888199065 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 295 0.296913508732 Henry Cohn, 2026, needs more optimization.
16 296 0.298636022459 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 297 0.302354275846 Henry Cohn, 2026, needs more optimization.
16 301 0.302456657937 Henry Cohn, 2026, needs more optimization.
16 302 0.302628554368 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 303 0.308227749732 Henry Cohn, 2026, needs more optimization.
16 312 0.308244047741 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 313 0.308876104731 Henry Cohn, 2026, needs more optimization.
16 314 0.310247708300 Henry Cohn, 2026, needs more optimization.
16 315 0.311921531890 Henry Cohn, 2026, needs more optimization.
16 316 0.313216726264 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 317 0.317286686685 Henry Cohn, 2026, needs more optimization.
16 318 0.319992163571 Henry Cohn, 2026, needs more optimization.
16 319 0.321890745572 Henry Cohn, 2026, needs more optimization.
16 320 0.324155429460 Henry Cohn, 2026, needs more optimization.
16 321 0.326118232754 Henry Cohn, 2026, needs more optimization.
16 322 0.326879459393 Henry Cohn, 2026, needs more optimization.
16 323 0.327979180818 Henry Cohn, 2026, needs more optimization.
16 324 0.328119135214 Henry Cohn, 2026, needs more optimization.
16 325 0.328241290519 Henry Cohn, 2026, needs more optimization.
16 326 0.328380156795 Henry Cohn, 2026, needs more optimization.
16 327 0.328440142455 Robert Dallara, 2026.
16 328 0.328551346980 Henry Cohn, 2026, needs more optimization.
16 329 0.328725591468 Henry Cohn, 2026, needs more optimization.
16 330 0.328798518354 Henry Cohn, 2026, needs more optimization.
16 340 0.328947368422 Henry Cohn, 2026.
76⁢x−25
16 341 0.329841910939 Henry Cohn, 2026, needs more optimization.
16 342 0.329865525770 Henry Cohn, 2026, needs more optimization.
16 343 0.329976905888 Henry Cohn, 2026, needs more optimization.
16 344 0.329997598786 Henry Cohn, 2026, needs more optimization.
16 345 0.330121572102 Henry Cohn, 2026, needs more optimization.
16 346 0.330313131248 Henry Cohn, 2026, needs more optimization.
16 347 0.330592196318 Henry Cohn, 2026, needs more optimization.
16 348 0.330592576248 Henry Cohn, 2026, needs more optimization.
16 349 0.330748234050 Henry Cohn, 2026, needs more optimization.
16 350 0.330890131214 Henry Cohn, 2026, needs more optimization.
16 351 0.330902972675 Henry Cohn, 2026, needs more optimization.
16 352 0.331032539102 Henry Cohn, 2026, needs more optimization.
16 353 0.331425753645 Henry Cohn, 2026, needs more optimization.
16 354 0.331531972971 Henry Cohn, 2026, needs more optimization.
16 355 0.331678923610 Henry Cohn, 2026, needs more optimization.
16 356 0.331727264576 Henry Cohn, 2026, needs more optimization.
16 357 0.331818683451 Henry Cohn, 2026, needs more optimization.
16 358 0.332027307535 Henry Cohn, 2026, needs more optimization.
16 359 0.332083061792 Henry Cohn, 2026, needs more optimization.
16 360 0.332246883657 Henry Cohn, 2026, needs more optimization.
16 361 0.332491609332 Henry Cohn, 2026, needs more optimization.
16 362 0.332564239544 Henry Cohn, 2026, needs more optimization.
16 363 0.332718819605 Henry Cohn, 2026, needs more optimization.
16 364 0.332750317597 Henry Cohn, 2026, needs more optimization.
16 365 0.332907970091 Henry Cohn, 2026, needs more optimization.
16 366 0.332929831991 Henry Cohn, 2026, needs more optimization.
16 367 0.332970817027 Henry Cohn, 2026, needs more optimization.
16 368 0.333067642390 Henry Cohn, 2026, needs more optimization.
16 369 0.333176709719 Henry Cohn, 2026, needs more optimization.
16 370 0.333194234746 Henry Cohn, 2026, needs more optimization.
16 512 0.333333333334 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
3⁢x−1
16 513 0.350751377432 Henry Cohn, 2026, needs more optimization.
16 514 0.351224881026 Henry Cohn, 2026, needs more optimization.
16 515 0.352910081961 Henry Cohn, 2026, needs more optimization.
16 516 0.354617362748 Henry Cohn, 2026, needs more optimization.
16 517 0.356580752265 Henry Cohn, 2026, needs more optimization.
16 518 0.358500148868 Henry Cohn, 2026, needs more optimization.
16 519 0.358882914422 Henry Cohn, 2026, needs more optimization.
16 520 0.359930446537 Henry Cohn, 2026, needs more optimization.
16 521 0.360636880734 Henry Cohn, 2026, needs more optimization.
16 522 0.360829318348 Henry Cohn, 2026, needs more optimization.
16 523 0.361223521155 Henry Cohn, 2026, needs more optimization.
16 524 0.362554948512 Henry Cohn, 2026, needs more optimization.
16 525 0.362990798044 Henry Cohn, 2026, needs more optimization.
16 526 0.363464367443 Henry Cohn, 2026, needs more optimization.
16 527 0.363996437350 Henry Cohn, 2026, needs more optimization.
16 528 0.364541560808 Henry Cohn, 2026, needs more optimization.
16 529 0.365191173767 Henry Cohn, 2026, needs more optimization.
16 530 0.365497998999 Henry Cohn, 2026, needs more optimization.
16 531 0.365821801559 Henry Cohn, 2026, needs more optimization.
16 532 0.366424320257 Henry Cohn, 2026, needs more optimization.
16 533 0.366969435220 Henry Cohn, 2026, needs more optimization.
16 534 0.367325524962 Henry Cohn, 2026, needs more optimization.
16 535 0.367805905753 Henry Cohn, 2026, needs more optimization.
16 536 0.368165363901 Henry Cohn, 2026, needs more optimization.
16 537 0.368381719458 Henry Cohn, 2026, needs more optimization.
16 538 0.369121768075 Henry Cohn, 2026, needs more optimization.
16 567 0.369248411466 Henry Cohn, 2026.
29⁢x2−8⁢x−1
16 575 0.375 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
8⁢x−3
16 625 0.375 Henry Cohn, 2026.
8⁢x−3
16 626 0.378830899697 Henry Cohn, 2026, needs more optimization.
16 627 0.379607020063 Henry Cohn, 2026, needs more optimization.
16 628 0.380188795159 Henry Cohn, 2026, needs more optimization.
16 629 0.381045663466 Henry Cohn, 2026, needs more optimization.
16 630 0.381734639223 Henry Cohn, 2026, needs more optimization.
16 631 0.382136255530 Henry Cohn, 2026, needs more optimization.
16 632 0.382577762686 Henry Cohn, 2026, needs more optimization.
16 633 0.382768824201 Henry Cohn, 2026, needs more optimization.
16 634 0.382947390455 Henry Cohn, 2026, needs more optimization.
16 635 0.383651055034 Henry Cohn, 2026, needs more optimization.
16 636 0.384000756393 Henry Cohn, 2026, needs more optimization.
16 642 0.384615384616 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
13⁢x−5
16 643 0.386118035593 Henry Cohn, 2026, needs more optimization.
16 644 0.386248245406 Henry Cohn, 2026, needs more optimization.
16 645 0.386388384679 Henry Cohn, 2026, needs more optimization.
16 646 0.386534279883 Henry Cohn, 2026, needs more optimization.
16 647 0.386738270131 Henry Cohn, 2026, needs more optimization.
16 648 0.386995126766 Henry Cohn, 2026, needs more optimization.
16 649 0.387287852496 Henry Cohn, 2026, needs more optimization.
16 650 0.387352448308 Henry Cohn, 2026, needs more optimization.
16 651 0.387366175902 Henry Cohn, 2026, needs more optimization.
16 652 0.387380477577 Henry Cohn, 2026, needs more optimization.
16 653 0.387425375239 Henry Cohn, 2026, needs more optimization.
16 654 0.387486427043 Henry Cohn, 2026, needs more optimization.
16 655 0.387580788650 Henry Cohn, 2026, needs more optimization.
16 656 0.387674952382 Henry Cohn, 2026, needs more optimization.
16 657 0.387739198771 Henry Cohn, 2026, needs more optimization.
16 658 0.387852797206 Henry Cohn, 2026, needs more optimization.
16 659 0.387959550547 Henry Cohn, 2026, needs more optimization.
16 660 0.388000671448 Henry Cohn, 2026, needs more optimization.
16 661 0.388177091725 Henry Cohn, 2026, needs more optimization.
16 662 0.388283835248 Henry Cohn, 2026, needs more optimization.
16 663 0.388321516326 Henry Cohn, 2026, needs more optimization.
16 664 0.388333661963 Henry Cohn, 2026, needs more optimization.
16 665 0.388354623989 Henry Cohn, 2026, needs more optimization.
16 666 0.388368148099 Henry Cohn, 2026, needs more optimization.
16 667 0.388403682088 Henry Cohn, 2026, needs more optimization.
16 668 0.388465843052 Henry Cohn, 2026, needs more optimization.
16 669 0.388571895680 Henry Cohn, 2026, needs more optimization.
16 670 0.388664655324 Henry Cohn, 2026, needs more optimization.
16 672 0.388716555411 Robert Dallara, 2026.
16 673 0.388872486163 Henry Cohn, 2026, needs more optimization.
16 674 0.388930828019 Henry Cohn, 2026, needs more optimization.
16 675 0.390207964926 Henry Cohn, 2026, needs more optimization.
16 676 0.390293694864 Henry Cohn, 2026, needs more optimization.
16 677 0.390396216232 Henry Cohn, 2026, needs more optimization.
16 678 0.390436580715 Henry Cohn, 2026, needs more optimization.
16 679 0.390484015366 Henry Cohn, 2026, needs more optimization.
16 680 0.390532660115 Henry Cohn, 2026, needs more optimization.
16 681 0.390582561510 Henry Cohn, 2026, needs more optimization.
16 682 0.390641537003 Henry Cohn, 2026, needs more optimization.
16 683 0.390695443998 Henry Cohn, 2026, needs more optimization.
16 684 0.390738231019 Henry Cohn, 2026, needs more optimization.
16 685 0.390789049481 Henry Cohn, 2026, needs more optimization.
16 686 0.390841172783 Henry Cohn, 2026, needs more optimization.
16 687 0.390901682519 Henry Cohn, 2026, needs more optimization.
16 690 0.390925436059 Robert Dallara, 2026.
16 691 0.391095723386 Henry Cohn, 2026, needs more optimization.
16 692 0.391145344532 Henry Cohn, 2026, needs more optimization.
16 693 0.391258147835 Henry Cohn, 2026, needs more optimization.
16 694 0.391316622640 Henry Cohn, 2026, needs more optimization.
16 695 0.391374938547 Henry Cohn, 2026, needs more optimization.
16 696 0.391430432772 Henry Cohn, 2026, needs more optimization.
16 697 0.391502171990 Henry Cohn, 2026, needs more optimization.
16 698 0.391572725081 Henry Cohn, 2026, needs more optimization.
16 699 0.391630843343 Henry Cohn, 2026, needs more optimization.
16 700 0.392119247363 Henry Cohn, 2026, needs more optimization.
16 701 0.392239665973 Henry Cohn, 2026, needs more optimization.
16 702 0.392408623183 Henry Cohn, 2026, needs more optimization.
16 703 0.392549157686 Robert Dallara, 2026.
16 704 0.393201531887 Henry Cohn, 2026, needs more optimization.
16 705 0.393276315773 Henry Cohn, 2026, needs more optimization.
16 706 0.393356979967 Henry Cohn, 2026, needs more optimization.
16 707 0.393443255642 Henry Cohn, 2026, needs more optimization.
16 708 0.393520225011 Henry Cohn, 2026, needs more optimization.
16 709 0.393629211591 Henry Cohn, 2026, needs more optimization.
16 714 0.393735553079 Robert Dallara, 2026.
16 715 0.395130623184 Henry Cohn, 2026, needs more optimization.
16 716 0.395550019933 Henry Cohn, 2026, needs more optimization.
16 717 0.395942657865 Henry Cohn, 2026, needs more optimization.
16 718 0.396244214056 Henry Cohn, 2026, needs more optimization.
16 719 0.396374719039 Henry Cohn, 2026, needs more optimization.
16 720 0.396498523759 Henry Cohn, 2026, needs more optimization.
16 721 0.396657432974 Henry Cohn, 2026, needs more optimization.
16 722 0.396855497570 Henry Cohn, 2026, needs more optimization.
16 723 0.397157375754 Henry Cohn, 2026, needs more optimization.
16 724 0.397329026641 Henry Cohn, 2026, needs more optimization.
16 725 0.397402243401 Henry Cohn, 2026, needs more optimization.
16 726 0.397777873730 Henry Cohn, 2026, needs more optimization.
16 727 0.398023196458 Henry Cohn, 2026, needs more optimization.
16 728 0.398363719710 Henry Cohn, 2026, needs more optimization.
16 729 0.398749328505 Henry Cohn, 2026, needs more optimization.
16 768 0.4 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
5⁢x−2
16 769 0.4 Henry Cohn, 2025, by enlarging a code from T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
5⁢x−2
16 771 0.4 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
5⁢x−2
16 772 0.400742606578 Henry Cohn, 2026, needs more optimization.
16 773 0.400873361108 Henry Cohn, 2026, needs more optimization.
16 774 0.400992548177 Henry Cohn, 2026, needs more optimization.
16 775 0.401162120837 Henry Cohn, 2026, needs more optimization.
16 776 0.401228601172 Henry Cohn, 2026, needs more optimization.
16 777 0.401284679260 Henry Cohn, 2026, needs more optimization.
16 778 0.401308680597 Henry Cohn, 2026, needs more optimization.
16 779 0.401369234356 Henry Cohn, 2026, needs more optimization.
16 780 0.401423342067 Henry Cohn, 2026, needs more optimization.
16 781 0.401536671766 Henry Cohn, 2026, needs more optimization.
16 782 0.401578093796 Henry Cohn, 2026, needs more optimization.
16 783 0.401708134134 Henry Cohn, 2026, needs more optimization.
16 784 0.401769315817 Henry Cohn, 2026, needs more optimization.
16 785 0.401880732432 Henry Cohn, 2026, needs more optimization.
16 786 0.401933177467 Henry Cohn, 2026, needs more optimization.
16 787 0.402149110478 Henry Cohn, 2026, needs more optimization.
16 788 0.402208292740 Henry Cohn, 2026, needs more optimization.
16 789 0.402347215735 Henry Cohn, 2026, needs more optimization.
16 790 0.407503538458 Henry Cohn, 2026, needs more optimization.
16 791 0.407511447685 Henry Cohn, 2026, needs more optimization.
16 792 0.407518961319 Henry Cohn, 2026, needs more optimization.
16 793 0.407526284173 Henry Cohn, 2026, needs more optimization.
16 794 0.407574434861 Henry Cohn, 2026, needs more optimization.
16 795 0.407692436389 Henry Cohn, 2026, needs more optimization.
16 796 0.407723676289 Henry Cohn, 2026, needs more optimization.
16 804 0.407813084588 Robert Dallara, 2026.
16 814 0.408978280512 Robert Dallara, 2026.
16 815 0.409368739416 Henry Cohn, 2026, needs more optimization.
16 816 0.409377743303 Henry Cohn, 2026, needs more optimization.
16 817 0.409434159488 Henry Cohn, 2026, needs more optimization.
16 818 0.410015404856 Henry Cohn, 2026, needs more optimization.
16 819 0.410095113849 Henry Cohn, 2026, needs more optimization.
16 820 0.410147016437 Henry Cohn, 2026, needs more optimization.
16 821 0.410493210960 Henry Cohn, 2026, needs more optimization.
16 822 0.410827563785 Henry Cohn, 2026, needs more optimization.
16 823 0.411749333951 Henry Cohn, 2026, needs more optimization.
16 824 0.411878028117 Henry Cohn, 2026, needs more optimization.
16 825 0.412070115502 Henry Cohn, 2026, needs more optimization.
16 826 0.412464787323 Henry Cohn, 2026, needs more optimization.
16 827 0.412742563973 Henry Cohn, 2026, needs more optimization.
16 828 0.413121657752 Henry Cohn, 2026, needs more optimization.
16 829 0.413412729424 Henry Cohn, 2026, needs more optimization.
16 830 0.413644012780 Henry Cohn, 2026, needs more optimization.
16 831 0.414036758781 Henry Cohn, 2026, needs more optimization.
16 832 0.414651584486 Henry Cohn, 2026, needs more optimization.
16 833 0.414660248564 Henry Cohn, 2026, needs more optimization.
16 834 0.414664993662 Henry Cohn, 2026, needs more optimization.
16 835 0.414669900589 Henry Cohn, 2026, needs more optimization.
16 836 0.414686127963 Henry Cohn, 2026, needs more optimization.
16 837 0.414699251793 Henry Cohn, 2026, needs more optimization.
16 838 0.414701289037 Henry Cohn, 2026, needs more optimization.
16 839 0.414804330965 Henry Cohn, 2026, needs more optimization.
16 840 0.414850393179 Henry Cohn, 2026, needs more optimization.
16 852 0.415007166236 Robert Dallara, 2026.
16 862 0.415843047037 Uploaded by anonymous internet user, 2026.
16 863 0.419705791522 Henry Cohn, 2026, needs more optimization.
16 864 0.420091792016 Henry Cohn, 2026, needs more optimization.
16 865 0.420393389027 Henry Cohn, 2026, needs more optimization.
16 866 0.421034905337 Henry Cohn, 2026, needs more optimization.
16 915 0.423076923077 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
26⁢x−11
16 916 0.425366930717 Henry Cohn, 2026, needs more optimization.
16 917 0.426339995337 Henry Cohn, 2026, needs more optimization.
16 918 0.426606702371 Henry Cohn, 2026, needs more optimization.
16 919 0.427175611893 Henry Cohn, 2026, needs more optimization.
16 920 0.427428309743 Henry Cohn, 2026, needs more optimization.
16 921 0.427714547128 Henry Cohn, 2026, needs more optimization.
16 922 0.427890424049 Henry Cohn, 2026, needs more optimization.
16 1024 0.428571428572 Subcode of a code of size 1056 from T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
7⁢x−3
17 35 0.044915529038 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
3825⁢x3−289⁢x2−17⁢x+1
17 36 0.052701899358 Henry Cohn, 2025.
17 37 0.055949316790 Henry Cohn, 2026.
17 38 0.055983875620 Henry Cohn, 2025.
17 39 0.062879614874 Henry Cohn, 2024.
17 40 0.064963088389 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 41 0.070153821556 Henry Cohn, 2025.
17 42 0.073269797523 Henry Cohn, 2025.
17 45 0.073591871415 Henry Cohn, 2023.
239⁢x2−4⁢x−1
17 46 0.080184930575 Henry Cohn, 2026.
17 52 0.084342587557 Henry Cohn, 2023.
188⁢x2−4⁢x−1
17 53 0.098937215086 Henry Cohn, 2024.
2304⁢x4−96⁢x3−95⁢x2−2⁢x+1
17 55 0.099686435548 Henry Cohn, 2026.
153⁢x4+480⁢x3−150⁢x2+1
17 56 0.102993455487 Henry Cohn, 2026.
17 57 0.104796880087 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 58 0.108405584144 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 64 0.111111111112 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
9⁢x−1
17 65 0.120819518077 Henry Cohn, 2026.
17 66 0.124443665548 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 67 0.125752950711 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 68 0.126755758940 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 69 0.127153183547 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 70 0.127263309273 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 71 0.127270310008 Henry Cohn, 2025.
17 72 0.127276381331 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 73 0.127278697335 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 74 0.127282531626 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 75 0.127283313870 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 76 0.127284594470 Henry Cohn, 2026, needs more optimization.
17 77 0.127301897398 Henry Cohn, 2026, needs more optimization.
17 78 0.135229770561 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 79 0.142555991333 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 80 0.146645607044 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 81 0.149798231118 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 82 0.149939841514 Henry Cohn, 2026, needs more optimization.
17 83 0.149982620206 Robert Dallara, 2026.
17 84 0.149995256047 Henry Cohn, 2026, needs more optimization.
17 85 0.149997798614 Henry Cohn, 2026, needs more optimization.
17 86 0.149999144667 Henry Cohn, 2026, needs more optimization.
17 87 0.151340636556 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3294225⁢x8+72600⁢x7−14520⁢x6−87120⁢x5−10990⁢x4+20⁢x3+120⁢x2+9
17 88 0.156158056242 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 89 0.158627365814 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 90 0.163938738308 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 91 0.165647079245 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 93 0.165769115717 Henry Cohn, 2026, needs more optimization.
17 94 0.166913339963 Henry Cohn, 2026, needs more optimization.
17 95 0.167571480295 Henry Cohn, 2026, needs more optimization.
17 96 0.168000066315 Henry Cohn, 2026, needs more optimization.
17 97 0.168471952633 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 98 0.168527033867 Henry Cohn, 2026, needs more optimization.
17 99 0.168611329901 Henry Cohn, 2026, needs more optimization.
17 100 0.168658037345 Henry Cohn, 2026, needs more optimization.
17 101 0.168685698010 Henry Cohn, 2026, needs more optimization.
17 102 0.169570867256 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 103 0.170735351612 Henry Cohn, 2026, needs more optimization.
17 104 0.170741895164 Henry Cohn, 2026, needs more optimization.
17 105 0.170747860898 Henry Cohn, 2026, needs more optimization.
17 106 0.170751266030 Henry Cohn, 2026, needs more optimization.
17 107 0.170757524719 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 108 0.174934103786 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 109 0.177558450562 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 110 0.179792416049 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 111 0.182362684900 Henry Cohn, 2026, needs more optimization.
17 115 0.184252183279 Henry Cohn, 2026.
1991⁢x2−318⁢x−9
17 116 0.184847525793 Henry Cohn, 2026, needs more optimization.
17 117 0.186580978028 Henry Cohn, 2026, needs more optimization.
17 118 0.187721373339 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 119 0.189940924423 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 120 0.190639415429 Henry Cohn, 2026, needs more optimization.
17 121 0.192191226811 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 122 0.192364480986 Henry Cohn, 2026, needs more optimization.
17 123 0.192441635710 Henry Cohn, 2026, needs more optimization.
17 124 0.192908035666 Henry Cohn, 2026, needs more optimization.
17 125 0.192908050963 Henry Cohn, 2026, needs more optimization.
17 126 0.192980412082 Henry Cohn, 2026, needs more optimization.
17 127 0.193825088547 Henry Cohn, 2026, needs more optimization.
17 128 0.195734935764 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 129 0.196761091192 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 130 0.197510829950 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 131 0.198825234025 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 132 0.198981846942 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 133 0.199553190807 Henry Cohn, 2026, needs more optimization.
17 134 0.199772164274 Henry Cohn, 2026, needs more optimization.
17 135 0.199841270713 Henry Cohn, 2026, needs more optimization.
17 136 0.199965635106 Henry Cohn, 2026, needs more optimization.
17 137 0.199984365018 Henry Cohn, 2026, needs more optimization.
17 138 0.200002841856 Henry Cohn, 2026, needs more optimization.
17 139 0.200081934905 Henry Cohn, 2026, needs more optimization.
17 140 0.200087332228 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 141 0.201562902712 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 142 0.202807941098 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 143 0.202855800307 Henry Cohn, 2026, needs more optimization.
17 144 0.202858343016 Henry Cohn, 2026, needs more optimization.
17 145 0.202863536102 Henry Cohn, 2026, needs more optimization.
17 146 0.202864678354 Henry Cohn, 2026, needs more optimization.
17 147 0.202868418768 Henry Cohn, 2026, needs more optimization.
17 148 0.202875102804 Henry Cohn, 2026, needs more optimization.
17 149 0.202877688465 Henry Cohn, 2026, needs more optimization.
17 150 0.202893635324 Henry Cohn, 2026, needs more optimization.
17 151 0.202896453446 Henry Cohn, 2026, needs more optimization.
17 152 0.202897878899 Henry Cohn, 2026, needs more optimization.
17 153 0.202906862483 Henry Cohn, 2026, needs more optimization.
17 154 0.202908342620 Henry Cohn, 2026, needs more optimization.
17 155 0.202909409909 Henry Cohn, 2026, needs more optimization.
17 156 0.202910321997 Henry Cohn, 2026, needs more optimization.
17 157 0.202910878149 Henry Cohn, 2026, needs more optimization.
17 158 0.202911797432 Henry Cohn, 2026, needs more optimization.
17 159 0.202913168631 Henry Cohn, 2026, needs more optimization.
17 164 0.202913709779 Henry Cohn, 2026.
44⁢x2−4⁢x−1
17 165 0.203268864512 Henry Cohn, 2026, needs more optimization.
17 166 0.209186347459 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 167 0.209346573961 Henry Cohn, 2026, needs more optimization.
17 168 0.209696026937 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 177 0.214580576913 Henry Cohn, 2026.
59⁢x2−8⁢x−1
17 178 0.215890665682 Henry Cohn, 2026, needs more optimization.
17 179 0.223728756198 Henry Cohn, 2026, needs more optimization.
17 180 0.224736007577 Henry Cohn, 2026, needs more optimization.
17 181 0.227570810794 Henry Cohn, 2026, needs more optimization.
17 190 0.228481712325 Henry Cohn, 2026.
38025⁢x6+44850⁢x5−29537⁢x4−28836⁢x3−441⁢x2+1458⁢x+81
17 192 0.228481712325 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
38025⁢x6+44850⁢x5−29537⁢x4−28836⁢x3−441⁢x2+1458⁢x+81
17 193 0.233271937852 Henry Cohn, 2026, needs more optimization.
17 194 0.234590284442 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 195 0.235022456914 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 196 0.236951484806 Henry Cohn, 2026, needs more optimization.
17 197 0.237728705004 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 198 0.238349150124 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 199 0.238924339124 Henry Cohn, 2026, needs more optimization.
17 200 0.239009467830 Henry Cohn, 2026, needs more optimization.
17 201 0.239060915559 Henry Cohn, 2026, needs more optimization.
17 202 0.241446344171 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 203 0.242171039653 Henry Cohn, 2026, needs more optimization.
17 204 0.242721890603 Henry Cohn, 2026, needs more optimization.
17 205 0.243054183339 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 206 0.243514148597 Henry Cohn, 2026, needs more optimization.
17 207 0.244013332022 Henry Cohn, 2026, needs more optimization.
17 208 0.244378271790 Henry Cohn, 2026, needs more optimization.
17 209 0.244527308617 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 210 0.244756212742 Henry Cohn, 2026, needs more optimization.
17 211 0.245035814802 Henry Cohn, 2026, needs more optimization.
17 212 0.245535855156 Henry Cohn, 2026, needs more optimization.
17 213 0.245831325813 Henry Cohn, 2026, needs more optimization.
17 214 0.245993474079 Henry Cohn, 2026, needs more optimization.
17 215 0.246143194859 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 216 0.246357939510 Henry Cohn, 2026, needs more optimization.
17 217 0.246645125570 Henry Cohn, 2026, needs more optimization.
17 218 0.246884852970 Henry Cohn, 2026, needs more optimization.
17 219 0.246996858520 Henry Cohn, 2026, needs more optimization.
17 220 0.247142091825 Henry Cohn, 2026, needs more optimization.
17 221 0.247352530232 Henry Cohn, 2026, needs more optimization.
17 222 0.247548698669 Henry Cohn, 2026, needs more optimization.
17 223 0.247700983464 Henry Cohn, 2026, needs more optimization.
17 224 0.247954197313 Henry Cohn, 2026, needs more optimization.
17 225 0.248118268109 Henry Cohn, 2026, needs more optimization.
17 226 0.248539189255 Henry Cohn, 2026, needs more optimization.
17 227 0.248653654736 Henry Cohn, 2026, needs more optimization.
17 228 0.248762051431 Henry Cohn, 2026, needs more optimization.
17 229 0.248898154545 Henry Cohn, 2026, needs more optimization.
17 230 0.249105502432 Henry Cohn, 2026, needs more optimization.
17 231 0.249159506551 Henry Cohn, 2026, needs more optimization.
17 232 0.249200886783 Henry Cohn, 2026, needs more optimization.
17 233 0.249231740091 Henry Cohn, 2026, needs more optimization.
17 234 0.249257964190 Henry Cohn, 2026, needs more optimization.
17 235 0.249290082670 Henry Cohn, 2026, needs more optimization.
17 236 0.249349493940 Henry Cohn, 2026, needs more optimization.
17 237 0.249389476457 Henry Cohn, 2026, needs more optimization.
17 238 0.249399650580 Henry Cohn, 2026, needs more optimization.
17 239 0.249516431492 Henry Cohn, 2026, needs more optimization.
17 240 0.249614543305 Henry Cohn, 2026, needs more optimization.
17 241 0.249640109429 Henry Cohn, 2026, needs more optimization.
17 242 0.249721533538 Henry Cohn, 2026, needs more optimization.
17 243 0.249728251985 Henry Cohn, 2026, needs more optimization.
17 244 0.249737378125 Henry Cohn, 2026, needs more optimization.
17 245 0.249753006670 Henry Cohn, 2026, needs more optimization.
17 246 0.249761881907 Henry Cohn, 2026, needs more optimization.
17 247 0.249800563994 Henry Cohn, 2026, needs more optimization.
17 248 0.249808300599 Henry Cohn, 2026, needs more optimization.
17 249 0.249870759515 Henry Cohn, 2026, needs more optimization.
17 250 0.249879188503 Henry Cohn, 2026, needs more optimization.
17 251 0.249905833521 Henry Cohn, 2026, needs more optimization.
17 252 0.249913601983 Henry Cohn, 2026, needs more optimization.
17 253 0.249981333556 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 254 0.249984689419 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 255 0.249985230198 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 256 0.249986446631 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 257 0.249986776912 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 258 0.249988846536 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 259 0.249990425765 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 260 0.249993027082 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 261 0.249994387189 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 262 0.249994860491 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 264 0.249995296974 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 265 0.249995452411 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 266 0.249995812003 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 267 0.249996389512 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 268 0.249996812505 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 269 0.249997161122 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 270 0.249997702458 Henry Cohn, 2026, needs more optimization.
17 271 0.249997925276 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 272 0.249998174815 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 273 0.249998423398 Henry Cohn, 2026, needs more optimization.
17 274 0.249998499114 Henry Cohn, 2026, needs more optimization.
17 275 0.249998720659 Henry Cohn, 2026, needs more optimization.
17 276 0.249998731181 Henry Cohn, 2026, needs more optimization.
17 277 0.249998856679 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 278 0.249998878966 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 279 0.249998879181 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 280 0.249999070611 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 281 0.249999134423 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 282 0.249999152745 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 283 0.249999263692 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 284 0.249999330349 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 285 0.249999379638 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 286 0.249999443300 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 287 0.249999443797 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 288 0.249999737430 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 289 0.249999830091 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 290 0.249999930608 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 292 0.25 Henry Cohn, 2026.
4⁢x−1
17 293 0.25 Kevin Li, 2026.
4⁢x−1
17 294 0.25 Henry Cohn, 2026.
4⁢x−1
17 295 0.250317937224 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 296 0.252523490576 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 297 0.255484186951 Robert Dallara, 2026.
17 298 0.256370333246 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 299 0.259096899046 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 300 0.259097119863 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 301 0.259139404371 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 302 0.259271051323 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 303 0.259427247740 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 304 0.259544638827 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 305 0.259985071512 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 306 0.260625289096 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 307 0.260856287700 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 308 0.260895707597 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 309 0.260965383541 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 310 0.261001171578 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 311 0.261035852971 Henry Cohn, 2026, needs more optimization.
17 312 0.261039454635 Henry Cohn, 2026, needs more optimization.
17 313 0.261048234131 Henry Cohn, 2026, needs more optimization.
17 314 0.261053097819 Henry Cohn, 2026, needs more optimization.
17 315 0.261073590382 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 316 0.261075335292 Henry Cohn, 2026, needs more optimization.
17 317 0.261079166232 Henry Cohn, 2026, needs more optimization.
17 318 0.261079949110 Henry Cohn, 2026, needs more optimization.
17 319 0.261094124736 Henry Cohn, 2026, needs more optimization.
17 320 0.261094131869 Henry Cohn, 2026, needs more optimization.
17 321 0.281458624142 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 322 0.286285472916 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 323 0.289489470845 Henry Cohn, 2026, needs more optimization.
17 324 0.291605163817 Robert Dallara, 2026.
17 325 0.293575797870 Henry Cohn, 2026, needs more optimization.
17 352 0.294117647059 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
17⁢x−5
17 353 0.296535165409 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
8⁢x2+x−1
17 354 0.303054209550 Henry Cohn, 2026, needs more optimization.
17 355 0.304366842645 Henry Cohn, 2026, needs more optimization.
17 356 0.305238434756 Henry Cohn, 2026, needs more optimization.
17 357 0.306093009609 Henry Cohn, 2026, needs more optimization.
17 358 0.306688794439 Henry Cohn, 2026, needs more optimization.
17 359 0.307431988132 Henry Cohn, 2026, needs more optimization.
17 360 0.308031915376 Henry Cohn, 2026, needs more optimization.
17 361 0.308321576350 Henry Cohn, 2026, needs more optimization.
17 362 0.308713744900 Henry Cohn, 2026, needs more optimization.
17 363 0.309147287130 Henry Cohn, 2026, needs more optimization.
17 364 0.309522583412 Henry Cohn, 2026, needs more optimization.
17 365 0.309893243283 Henry Cohn, 2026, needs more optimization.
17 366 0.310326697267 Henry Cohn, 2026, needs more optimization.
17 367 0.310570723851 Henry Cohn, 2026, needs more optimization.
17 368 0.310892797080 Henry Cohn, 2026, needs more optimization.
17 369 0.311196811766 Henry Cohn, 2026, needs more optimization.
17 370 0.311456277561 Henry Cohn, 2026, needs more optimization.
17 371 0.311796397039 Henry Cohn, 2026, needs more optimization.
17 372 0.312062592829 Henry Cohn, 2026, needs more optimization.
17 373 0.312278860108 Henry Cohn, 2026, needs more optimization.
17 374 0.312606390638 Henry Cohn, 2026, needs more optimization.
17 375 0.312911978821 Henry Cohn, 2026, needs more optimization.
17 376 0.313083590710 Henry Cohn, 2026, needs more optimization.
17 377 0.313357446648 Henry Cohn, 2026, needs more optimization.
17 378 0.313536737637 Henry Cohn, 2026, needs more optimization.
17 379 0.313732448100 Henry Cohn, 2026, needs more optimization.
17 380 0.313949557643 Henry Cohn, 2026, needs more optimization.
17 381 0.314179491539 Henry Cohn, 2026, needs more optimization.
17 382 0.314316675288 Henry Cohn, 2026, needs more optimization.
17 383 0.314496104375 Henry Cohn, 2026, needs more optimization.
17 384 0.314683590235 Henry Cohn, 2026, needs more optimization.
17 385 0.314787715386 Henry Cohn, 2026, needs more optimization.
17 386 0.315165190037 Henry Cohn, 2026, needs more optimization.
17 387 0.315311987840 Henry Cohn, 2026, needs more optimization.
17 388 0.315541063154 Henry Cohn, 2026, needs more optimization.
17 389 0.315790931028 Henry Cohn, 2026, needs more optimization.
17 390 0.316045335276 Henry Cohn, 2026, needs more optimization.
17 391 0.316325398327 Henry Cohn, 2026, needs more optimization.
17 392 0.316533288967 Henry Cohn, 2026, needs more optimization.
17 393 0.316765604609 Henry Cohn, 2026, needs more optimization.
17 394 0.316813724303 Henry Cohn, 2026, needs more optimization.
17 395 0.316911089648 Henry Cohn, 2026, needs more optimization.
17 396 0.317044828622 Henry Cohn, 2026, needs more optimization.
17 397 0.317201163905 Henry Cohn, 2026, needs more optimization.
17 398 0.317272040087 Henry Cohn, 2026, needs more optimization.
17 399 0.317477752801 Henry Cohn, 2026, needs more optimization.
17 400 0.317617842558 Henry Cohn, 2026, needs more optimization.
17 401 0.317691687832 Henry Cohn, 2026, needs more optimization.
17 402 0.317807091250 Henry Cohn, 2026, needs more optimization.
17 403 0.318000578885 Henry Cohn, 2026, needs more optimization.
17 404 0.318246437346 Henry Cohn, 2026, needs more optimization.
17 405 0.318359398418 Henry Cohn, 2026, needs more optimization.
17 406 0.318455221636 Henry Cohn, 2026, needs more optimization.
17 407 0.318577072669 Henry Cohn, 2026, needs more optimization.
17 408 0.318676543589 Henry Cohn, 2026, needs more optimization.
17 409 0.318766261292 Henry Cohn, 2026, needs more optimization.
17 410 0.318870092788 Henry Cohn, 2026, needs more optimization.
17 411 0.318942520017 Henry Cohn, 2026, needs more optimization.
17 412 0.318993706080 Henry Cohn, 2026, needs more optimization.
17 434 0.319025504452 Henry Cohn, 2026, needs more optimization.
17 435 0.320843412961 Henry Cohn, 2026, needs more optimization.
17 436 0.322285601483 Henry Cohn, 2026, needs more optimization.
17 437 0.322623838968 Henry Cohn, 2026, needs more optimization.
17 438 0.323530359097 Henry Cohn, 2026, needs more optimization.
17 439 0.323875331361 Henry Cohn, 2026, needs more optimization.
17 440 0.324304799400 Henry Cohn, 2026, needs more optimization.
17 441 0.324671092607 Henry Cohn, 2026, needs more optimization.
17 442 0.325040748566 Henry Cohn, 2026, needs more optimization.
17 443 0.325685292459 Henry Cohn, 2026, needs more optimization.
17 444 0.326566422209 Henry Cohn, 2026, needs more optimization.
17 445 0.326810890826 Henry Cohn, 2026, needs more optimization.
17 446 0.327284642822 Henry Cohn, 2026, needs more optimization.
17 447 0.327506469451 Henry Cohn, 2026, needs more optimization.
17 448 0.327648887460 Henry Cohn, 2026, needs more optimization.
17 449 0.327798878247 Henry Cohn, 2026, needs more optimization.
17 450 0.329748483953 Henry Cohn, 2026, needs more optimization.
17 451 0.330606260153 Henry Cohn, 2026, needs more optimization.
17 452 0.331443603815 Henry Cohn, 2026, needs more optimization.
17 453 0.332563141042 Henry Cohn, 2026, needs more optimization.
17 546 0.333333333334 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
3⁢x−1
17 578 0.333333333334 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
3⁢x−1
17 738 0.341506350947 Henry Cohn, 2026.
32⁢x2−8⁢x−1
17 739 0.343913023018 Henry Cohn, 2026, needs more optimization.
17 740 0.352584882135 Henry Cohn, 2026, needs more optimization.
17 741 0.355205930542 Henry Cohn, 2026, needs more optimization.
17 742 0.355728985562 Henry Cohn, 2026, needs more optimization.
17 743 0.355975978440 Henry Cohn, 2026, needs more optimization.
17 744 0.356769688239 Henry Cohn, 2026, needs more optimization.
17 745 0.357210831066 Henry Cohn, 2026, needs more optimization.
17 746 0.357430129749 Henry Cohn, 2026, needs more optimization.
17 747 0.357544368439 Henry Cohn, 2026, needs more optimization.
17 748 0.357662539484 Henry Cohn, 2026, needs more optimization.
17 749 0.357800267759 Henry Cohn, 2026, needs more optimization.
17 750 0.357919270293 Henry Cohn, 2026, needs more optimization.
17 751 0.358094911435 Henry Cohn, 2026, needs more optimization.
17 769 0.36 Henry Cohn, 2026.
25⁢x−9
17 770 0.365879039624 Henry Cohn, 2026, needs more optimization.
17 771 0.366478862611 Henry Cohn, 2026, needs more optimization.
17 772 0.368320934707 Henry Cohn, 2026, needs more optimization.
17 773 0.368920595526 Henry Cohn, 2026, needs more optimization.
17 774 0.370755509028 Henry Cohn, 2026, needs more optimization.
17 775 0.371223536590 Robert Dallara, 2026.
17 776 0.372056611782 Henry Cohn, 2026, needs more optimization.
17 777 0.372390421310 Robert Dallara, 2026.
17 778 0.373201541654 Henry Cohn, 2026, needs more optimization.
17 779 0.373522177289 Robert Dallara, 2026.
17 780 0.374274410717 Henry Cohn, 2026, needs more optimization.
17 781 0.374793686688 Henry Cohn, 2026, needs more optimization.
17 782 0.375194576122 Henry Cohn, 2026, needs more optimization.
17 783 0.376172271457 Henry Cohn, 2026, needs more optimization.
17 784 0.376212023714 Henry Cohn, 2026, needs more optimization.
17 785 0.376724590947 Henry Cohn, 2026, needs more optimization.
17 786 0.377153133180 Henry Cohn, 2026, needs more optimization.
17 787 0.377921185744 Henry Cohn, 2026, needs more optimization.
17 788 0.378689548742 Henry Cohn, 2026, needs more optimization.
17 789 0.379138410811 Henry Cohn, 2026, needs more optimization.
17 790 0.379585673746 Henry Cohn, 2026, needs more optimization.
17 791 0.380224626225 Henry Cohn, 2026, needs more optimization.
17 792 0.380242861719 Henry Cohn, 2026, needs more optimization.
17 793 0.380680753617 Henry Cohn, 2026, needs more optimization.
17 794 0.381230402156 Henry Cohn, 2026, needs more optimization.
17 795 0.381245074543 Henry Cohn, 2026, needs more optimization.
17 796 0.381644801562 Henry Cohn, 2026, needs more optimization.
17 798 0.381853673688 Robert Dallara, 2026.
17 799 0.382626620081 Henry Cohn, 2026, needs more optimization.
17 800 0.383395351646 Henry Cohn, 2026, needs more optimization.
17 801 0.383402635456 Henry Cohn, 2026, needs more optimization.
17 802 0.384073193333 Henry Cohn, 2026, needs more optimization.
17 803 0.384088335391 Henry Cohn, 2026, needs more optimization.
17 1024 0.384615384616 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
13⁢x−5
18 37 0.042671058118 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
4608⁢x3−324⁢x2−18⁢x+1
18 38 0.050085070755 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
18 39 0.055224148787 Henry Cohn, 2025.
18 40 0.055678193348 Henry Cohn, 2025.
1856⁢x4+736⁢x3+204⁢x2+4⁢x−1
18 41 0.060967744952 Henry Cohn, 2023.
18 42 0.063457905214 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
18 43 0.066629754705 Henry Cohn, 2025.
18 44 0.066804066179 Henry Cohn, 2023.
18 45 0.071480323505 Henry Cohn, 2026.
18 46 0.073552043366 Henry Cohn, 2025.
18 47 0.073575768177 Henry Cohn, 2025.
Minimal polynomial listed in plain text data
18 48 0.074706792917 Henry Cohn, 2024.
49250304⁢x8−30019584⁢x7−3769088⁢x6−1665536⁢x5+436432⁢x4+8256⁢x3−3792⁢x2+9
18 50 0.078219048073 Henry Cohn, 2025.
368⁢x2−16⁢x−1
18 51 0.084258729168 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
18 52 0.084267508224 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 53 0.084306482303 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
18 54 0.084331756953 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
18 55 0.087707155784 Henry Cohn, 2025.
1893264⁢x8−1540752⁢x7−326156⁢x6+37720⁢x5+15340⁢x4−308⁢x3−220⁢x2+1
18 57 0.092724727985 Henry Cohn, 2025.
332⁢x2−20⁢x−1
18 58 0.096106487484 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
27⁢x2−13⁢x+1
18 59 0.096317631192 Henry Cohn, 2025.
Minimal polynomial listed in plain text data
18 60 0.096621974569 Henry Cohn, 2025.
1392⁢x5+5600⁢x4−2304⁢x3+152⁢x2+12⁢x−1
18 69 0.101456854890 Henry Cohn, 2024.
176⁢x2−8⁢x−1
18 71 0.107360417201 Henry Cohn, 2026.
252⁢x4−672⁢x3+156⁢x2−1
18 72 0.109540130282 Henry Cohn, 2026.
360⁢x3−68⁢x2−6⁢x+1
18 73 0.117125796978 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 74 0.119652337905 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
Minimal polynomial listed in plain text data
18 75 0.120367585569 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
Minimal polynomial listed in plain text data
18 80 0.121417162017 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31⁢x2−12⁢x+1
18 81 0.126904281671 Henry Cohn, 2026.
18 82 0.127626473233 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 83 0.129097400889 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
18 84 0.130577223388 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 85 0.132288444638 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 86 0.132700003712 Henry Cohn, 2026, needs more optimization.
18 87 0.133632203004 Henry Cohn, 2026, needs more optimization.
18 88 0.134255586334 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
18 96 0.142857142858 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
7⁢x−1
18 97 0.152402949200 Henry Cohn, 2026.
16⁢x2−9⁢x+1
18 98 0.155249851767 Henry Cohn, 2026.
64⁢x4+32⁢x3−48⁢x2+1
18 100 0.157894736843 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
19⁢x−3
18 101 0.161087011866 Henry Cohn, 2026.
52⁢x2−27⁢x+3
18 104 0.162407002682 Henry Cohn, 2026.
671⁢x4−1296⁢x3+534⁢x2−9
18 105 0.164921962691 Henry Cohn, 2026, needs more optimization.
18 106 0.166070240074 Henry Cohn, 2026, needs more optimization.
18 108 0.166586736179 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
18 109 0.167620272036 Henry Cohn, 2026, needs more optimization.
18 110 0.168420354627 Henry Cohn, 2026, needs more optimization.
18 111 0.169248610521 Henry Cohn, 2026, needs more optimization.
18 112 0.169838379181 Henry Cohn, 2026, needs more optimization.
18 113 0.170563042537 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 114 0.172117137758 Henry Cohn, 2026, needs more optimization.
18 115 0.172912754537 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 116 0.174475260620 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
Minimal polynomial listed in plain text data
18 117 0.177748575135 Vadim Borisov, 2026, https://numaro.tech/.
18 118 0.181997157491 Robert Dallara, 2026.
18 119 0.182599023977 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 120 0.184835329639 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 121 0.185547953776 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 122 0.186952176805 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 123 0.188109726075 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 128 0.188405797102 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
69⁢x−13
18 129 0.188801907751 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 130 0.188960803287 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 131 0.190522135309 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 132 0.191489361703 Henry Cohn, 2025, by enlarging a code from T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
47⁢x−9
18 133 0.193070622502 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 134 0.193719737379 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 135 0.194297962418 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 136 0.194621740626 Henry Cohn, 2026, needs more optimization.
18 137 0.194954057753 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 138 0.195225824558 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 140 0.195281232516 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 141 0.195969898282 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 142 0.196271058083 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 143 0.196613221668 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 144 0.196848690091 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 145 0.197165735801 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 146 0.197524467168 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 147 0.197844422013 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 148 0.198104277025 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 149 0.198653243232 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 150 0.199145794120 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 151 0.199523144150 Henry Cohn, 2026, needs more optimization.
18 152 0.199881505468 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 153 0.200023608294 Henry Cohn, 2026, needs more optimization.
18 154 0.200181614890 Henry Cohn, 2026, needs more optimization.
18 155 0.200591311767 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 156 0.201268996945 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 157 0.201466938734 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 158 0.201514074468 Henry Cohn, 2026, needs more optimization.
18 159 0.201551923202 Henry Cohn, 2026, needs more optimization.
18 160 0.201636431893 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 161 0.201957890574 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 162 0.202198781934 Henry Cohn, 2026, needs more optimization.
18 163 0.202198862011 Henry Cohn, 2026, needs more optimization.
18 164 0.202198982768 Henry Cohn, 2026, needs more optimization.
18 165 0.202500503599 Henry Cohn, 2026, needs more optimization.
18 166 0.202808781952 Henry Cohn, 2026, needs more optimization.
18 167 0.202873924830 Henry Cohn, 2026, needs more optimization.
18 168 0.202913600015 Henry Cohn, 2026, needs more optimization.
18 169 0.202913630186 Henry Cohn, 2026, needs more optimization.
18 170 0.202913672227 Henry Cohn, 2026, needs more optimization.
18 171 0.203059237323 Henry Cohn, 2026, needs more optimization.
18 172 0.203990215529 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 173 0.205760023657 Henry Cohn, 2026, needs more optimization.
18 174 0.208492975025 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 175 0.208896958003 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 176 0.212707576300 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 177 0.213961001219 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 178 0.214575153794 Henry Cohn, 2026, needs more optimization.
18 179 0.214576368782 Henry Cohn, 2026, needs more optimization.
18 180 0.214579466229 Henry Cohn, 2026, needs more optimization.
18 181 0.214580500608 Henry Cohn, 2026, needs more optimization.
18 182 0.214580624039 Henry Cohn, 2026, needs more optimization.
18 183 0.214580627756 Henry Cohn, 2026, needs more optimization.
18 184 0.214580627892 Henry Cohn, 2026, needs more optimization.
18 185 0.214580641665 Henry Cohn, 2026, needs more optimization.
18 186 0.214580672942 Henry Cohn, 2026, needs more optimization.
18 187 0.214580781610 Henry Cohn, 2026, needs more optimization.
18 188 0.214673101458 Henry Cohn, 2026, needs more optimization.
18 189 0.217221045596 Henry Cohn, 2026, needs more optimization.
18 197 0.218766018322 Henry Cohn, 2026.
4439⁢x2−418⁢x−121
18 198 0.218766693205 Henry Cohn, 2026, needs more optimization.
18 199 0.223086709964 Henry Cohn, 2026, needs more optimization.
18 210 0.224009237740 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11⁢x2+2⁢x−1
18 211 0.225864527552 Henry Cohn, 2026, needs more optimization.
18 212 0.228628685372 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 213 0.230043214932 Henry Cohn, 2026, needs more optimization.
18 224 0.231925424534 Henry Cohn, 2026, needs more optimization.
18 225 0.232161269186 Henry Cohn, 2026, needs more optimization.
18 226 0.232562143597 Henry Cohn, 2026, needs more optimization.
18 227 0.236135145789 Henry Cohn, 2026, needs more optimization.
18 228 0.237228747751 Henry Cohn, 2026, needs more optimization.
18 229 0.237851183062 Henry Cohn, 2026, needs more optimization.
18 230 0.238329209156 Henry Cohn, 2026, needs more optimization.
18 231 0.238828808626 Henry Cohn, 2026, needs more optimization.
18 232 0.239401773516 Henry Cohn, 2026, needs more optimization.
18 233 0.239883628506 Henry Cohn, 2026, needs more optimization.
18 234 0.240446029129 Henry Cohn, 2026, needs more optimization.
18 235 0.240729692442 Henry Cohn, 2026, needs more optimization.
18 236 0.241216772031 Henry Cohn, 2026, needs more optimization.
18 237 0.241630515397 Henry Cohn, 2026, needs more optimization.
18 238 0.242055275722 Henry Cohn, 2026, needs more optimization.
18 239 0.242554636905 Henry Cohn, 2026, needs more optimization.
18 240 0.242790267259 Henry Cohn, 2026, needs more optimization.
18 241 0.243107918251 Henry Cohn, 2026, needs more optimization.
18 242 0.243176483712 Robert Dallara, 2026.
18 243 0.243744821725 Robert Dallara, 2026.
18 244 0.244068711765 Henry Cohn, 2026, needs more optimization.
18 245 0.244365992542 Henry Cohn, 2026, needs more optimization.
18 246 0.244721339006 Henry Cohn, 2026, needs more optimization.
18 247 0.244890706995 Henry Cohn, 2026, needs more optimization.
18 248 0.245083109069 Henry Cohn, 2026, needs more optimization.
18 249 0.245089971173 Robert Dallara, 2026.
18 250 0.245270130629 Henry Cohn, 2026, needs more optimization.
18 251 0.245453884257 Henry Cohn, 2026, needs more optimization.
18 252 0.245590077231 Henry Cohn, 2026, needs more optimization.
18 253 0.245804085611 Henry Cohn, 2026, needs more optimization.
18 254 0.245836694287 Henry Cohn, 2026, needs more optimization.
18 255 0.245911268208 Henry Cohn, 2026, needs more optimization.
18 256 0.245986142025 Henry Cohn, 2026, needs more optimization.
18 257 0.246047028473 Henry Cohn, 2026, needs more optimization.
18 258 0.246120210047 Henry Cohn, 2026, needs more optimization.
18 259 0.246240819664 Henry Cohn, 2026, needs more optimization.
18 260 0.246316683115 Henry Cohn, 2026, needs more optimization.
18 261 0.246343961996 Henry Cohn, 2026, needs more optimization.
18 262 0.246373403241 Robert Dallara, 2026.
18 263 0.246433412030 Henry Cohn, 2026, needs more optimization.
18 264 0.246478668190 Henry Cohn, 2026, needs more optimization.
18 265 0.246644804001 Henry Cohn, 2026, needs more optimization.
18 266 0.246948869230 Henry Cohn, 2026, needs more optimization.
18 267 0.246969116604 Henry Cohn, 2026, needs more optimization.
18 268 0.247003815476 Henry Cohn, 2026, needs more optimization.
18 269 0.247095539619 Henry Cohn, 2026, needs more optimization.
18 270 0.247454030746 Henry Cohn, 2026, needs more optimization.
18 271 0.247487713715 Henry Cohn, 2026, needs more optimization.
18 272 0.247529811895 Henry Cohn, 2026, needs more optimization.
18 273 0.247539030525 Henry Cohn, 2026, needs more optimization.
18 274 0.247561732797 Henry Cohn, 2026, needs more optimization.
18 275 0.247573770753 Henry Cohn, 2026, needs more optimization.
18 276 0.247594071042 Henry Cohn, 2026, needs more optimization.
18 277 0.247611223144 Henry Cohn, 2026, needs more optimization.
18 278 0.247633941864 Henry Cohn, 2026, needs more optimization.
18 279 0.247727370050 Henry Cohn, 2026, needs more optimization.
18 280 0.247741666085 Henry Cohn, 2026, needs more optimization.
18 281 0.247779647035 Henry Cohn, 2026, needs more optimization.
18 282 0.247788494219 Henry Cohn, 2026, needs more optimization.
18 284 0.247855315573 Henry Cohn, 2026, needs more optimization.
18 285 0.247856117218 Henry Cohn, 2026, needs more optimization.
18 286 0.247856125797 Henry Cohn, 2026, needs more optimization.
18 287 0.248144122151 Henry Cohn, 2026, needs more optimization.
18 288 0.248862990884 Henry Cohn, 2026, needs more optimization.
18 289 0.248919180099 Henry Cohn, 2026, needs more optimization.
18 290 0.249104243604 Henry Cohn, 2026, needs more optimization.
18 291 0.249298871256 Henry Cohn, 2026, needs more optimization.
18 292 0.249384978993 Henry Cohn, 2026, needs more optimization.
18 293 0.249607277308 Henry Cohn, 2026, needs more optimization.
18 294 0.249872224976 Henry Cohn, 2026, needs more optimization.
18 295 0.249873298041 Henry Cohn, 2026, needs more optimization.
18 296 0.249912481585 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
18 297 0.249930962802 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
18 298 0.249948128094 Henry Cohn, 2026, needs more optimization.
18 299 0.249968792704 Henry Cohn, 2026, needs more optimization.
18 300 0.249988805797 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
18 301 0.249995637706 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
18 302 0.249995796407 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
18 303 0.249996724237 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
18 304 0.25 Kevin Li, 2026.
4⁢x−1
18 306 0.25 Henry Cohn, 2026.
4⁢x−1
18 307 0.250462400472 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
18 308 0.251553413783 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
18 309 0.252611270185 Henry Cohn, 2026, needs more optimization.
18 310 0.253756456861 Henry Cohn, 2026, needs more optimization.
18 311 0.254806297076 Henry Cohn, 2026, needs more optimization.
18 312 0.256211577802 Henry Cohn, 2026, needs more optimization.
18 313 0.256822460352 Henry Cohn, 2026, needs more optimization.
18 314 0.258090159149 Henry Cohn, 2026, needs more optimization.
18 315 0.258551706404 Henry Cohn, 2026, needs more optimization.
18 316 0.258593410274 Henry Cohn, 2026, needs more optimization.
18 317 0.258679472405 Henry Cohn, 2026, needs more optimization.
18 318 0.258727725024 Henry Cohn, 2026, needs more optimization.
18 319 0.258932444292 Henry Cohn, 2026, needs more optimization.
18 320 0.259042253380 Henry Cohn, 2026, needs more optimization.
18 321 0.259161377069 Henry Cohn, 2026, needs more optimization.
18 322 0.259164894797 Henry Cohn, 2026, needs more optimization.
18 323 0.259180109636 Henry Cohn, 2026, needs more optimization.
18 324 0.259335871073 Henry Cohn, 2026, needs more optimization.
18 325 0.259829099769 Henry Cohn, 2026, needs more optimization.
18 326 0.259899004056 Henry Cohn, 2026, needs more optimization.
18 327 0.259981049547 Henry Cohn, 2026, needs more optimization.
18 328 0.260155960213 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
18 329 0.260178954039 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
18 330 0.260235051764 Henry Cohn, 2026, needs more optimization.
18 331 0.260268560025 Henry Cohn, 2026, needs more optimization.
18 332 0.260330261981 Henry Cohn, 2026, needs more optimization.
18 333 0.260356340329 Henry Cohn, 2026, needs more optimization.
18 334 0.260436024266 Henry Cohn, 2026, needs more optimization.
18 335 0.260488066768 Henry Cohn, 2026, needs more optimization.
18 336 0.260597666878 Henry Cohn, 2026, needs more optimization.
18 337 0.260670809096 Henry Cohn, 2026, needs more optimization.
18 338 0.260726920560 Henry Cohn, 2026, needs more optimization.
18 339 0.260734020010 Henry Cohn, 2026, needs more optimization.
18 340 0.260770563916 Henry Cohn, 2026, needs more optimization.
18 341 0.260835739001 Henry Cohn, 2026, needs more optimization.
18 342 0.260854029439 Henry Cohn, 2026, needs more optimization.
18 343 0.260865820705 Henry Cohn, 2026, needs more optimization.
18 344 0.260867793895 Henry Cohn, 2026, needs more optimization.
18 345 0.260889933734 Henry Cohn, 2026, needs more optimization.
18 346 0.260906766650 Henry Cohn, 2026, needs more optimization.
18 347 0.260939665941 Henry Cohn, 2026, needs more optimization.
18 348 0.260955521174 Henry Cohn, 2026, needs more optimization.
18 349 0.260958885055 Henry Cohn, 2026, needs more optimization.
18 350 0.260970619280 Henry Cohn, 2026, needs more optimization.
18 351 0.260987088577 Henry Cohn, 2026, needs more optimization.
18 352 0.260993742810 Henry Cohn, 2026, needs more optimization.
18 353 0.262893575679 Henry Cohn, 2026, needs more optimization.
18 354 0.277833145801 Henry Cohn, 2026, needs more optimization.
18 355 0.280347782615 Henry Cohn, 2026, needs more optimization.
18 356 0.284675073505 Henry Cohn, 2026, needs more optimization.
18 357 0.287867244508 Henry Cohn, 2026, needs more optimization.
18 358 0.290321578964 Henry Cohn, 2026, needs more optimization.
18 359 0.291540846401 Henry Cohn, 2026, needs more optimization.
18 360 0.292837057683 Henry Cohn, 2026, needs more optimization.
18 361 0.294117665101 Henry Cohn, 2026, needs more optimization.
18 362 0.294117665111 Henry Cohn, 2026, needs more optimization.
18 363 0.294117665167 Henry Cohn, 2026, needs more optimization.
18 364 0.294117665195 Henry Cohn, 2026, needs more optimization.
18 365 0.294117665231 Henry Cohn, 2026, needs more optimization.
18 366 0.294117665275 Henry Cohn, 2026, needs more optimization.
18 367 0.294117673530 Henry Cohn, 2026, needs more optimization.
18 368 0.294117673568 Henry Cohn, 2026, needs more optimization.
18 369 0.294117673589 Henry Cohn, 2026, needs more optimization.
18 370 0.294117674658 Henry Cohn, 2026, needs more optimization.
18 371 0.294117674729 Henry Cohn, 2026, needs more optimization.
18 372 0.294117679942 Henry Cohn, 2026, needs more optimization.
18 373 0.294117679968 Henry Cohn, 2026, needs more optimization.
18 374 0.294117679990 Henry Cohn, 2026, needs more optimization.
18 375 0.294117680247 Henry Cohn, 2026, needs more optimization.
18 376 0.294117680282 Henry Cohn, 2026, needs more optimization.
18 377 0.294117682204 Henry Cohn, 2026, needs more optimization.
18 378 0.294117682217 Henry Cohn, 2026, needs more optimization.
18 379 0.294117688603 Henry Cohn, 2026, needs more optimization.
18 380 0.294117688628 Henry Cohn, 2026, needs more optimization.
18 381 0.294117688734 Henry Cohn, 2026, needs more optimization.
18 382 0.294117706713 Henry Cohn, 2026, needs more optimization.
18 383 0.294117706759 Henry Cohn, 2026, needs more optimization.
18 384 0.294117713060 Henry Cohn, 2026, needs more optimization.
18 385 0.294117713095 Henry Cohn, 2026, needs more optimization.
18 386 0.294117713107 Henry Cohn, 2026, needs more optimization.
18 387 0.294117713129 Henry Cohn, 2026, needs more optimization.
18 388 0.294117719149 Henry Cohn, 2026, needs more optimization.
18 389 0.294117719201 Henry Cohn, 2026, needs more optimization.
18 390 0.294117719248 Henry Cohn, 2026, needs more optimization.
18 391 0.294117731572 Henry Cohn, 2026, needs more optimization.
18 392 0.294117731597 Henry Cohn, 2026, needs more optimization.
18 393 0.294117731622 Henry Cohn, 2026, needs more optimization.
18 394 0.294117731662 Henry Cohn, 2026, needs more optimization.
18 395 0.294117731706 Henry Cohn, 2026, needs more optimization.
18 396 0.294117731778 Henry Cohn, 2026, needs more optimization.
18 397 0.294117731898 Henry Cohn, 2026, needs more optimization.
18 398 0.294117735924 Henry Cohn, 2026, needs more optimization.
18 399 0.294117735984 Henry Cohn, 2026, needs more optimization.
18 400 0.294117736060 Henry Cohn, 2026, needs more optimization.
18 401 0.294117736159 Henry Cohn, 2026, needs more optimization.
18 402 0.294117793744 Henry Cohn, 2026, needs more optimization.
18 403 0.294117797804 Henry Cohn, 2026, needs more optimization.
18 404 0.294117958561 Henry Cohn, 2026, needs more optimization.
18 405 0.294117958678 Henry Cohn, 2026, needs more optimization.
18 406 0.294117958964 Henry Cohn, 2026, needs more optimization.
18 407 0.294117968370 Henry Cohn, 2026, needs more optimization.
18 408 0.294117968520 Henry Cohn, 2026, needs more optimization.
18 409 0.294117968864 Henry Cohn, 2026, needs more optimization.
18 410 0.294117988309 Henry Cohn, 2026, needs more optimization.
18 411 0.294117988534 Henry Cohn, 2026, needs more optimization.
18 412 0.294117996266 Henry Cohn, 2026, needs more optimization.
18 413 0.294117996399 Henry Cohn, 2026, needs more optimization.
18 414 0.294117996690 Henry Cohn, 2026, needs more optimization.
18 415 0.294118206175 Henry Cohn, 2026, needs more optimization.
18 416 0.294118344638 Henry Cohn, 2026, needs more optimization.
18 417 0.294118351951 Henry Cohn, 2026, needs more optimization.
18 418 0.294120830725 Henry Cohn, 2026, needs more optimization.
18 419 0.294120831121 Henry Cohn, 2026, needs more optimization.
18 420 0.294120845214 Henry Cohn, 2026, needs more optimization.
18 421 0.294142454451 Henry Cohn, 2026, needs more optimization.
18 422 0.294142454756 Henry Cohn, 2026, needs more optimization.
18 423 0.294142468773 Henry Cohn, 2026, needs more optimization.
18 424 0.294142493063 Henry Cohn, 2026, needs more optimization.
18 425 0.294206993047 Henry Cohn, 2026, needs more optimization.
18 426 0.294215673888 Henry Cohn, 2026, needs more optimization.
18 427 0.294228244461 Henry Cohn, 2026, needs more optimization.
18 428 0.294574313866 Henry Cohn, 2026, needs more optimization.
18 429 0.294804496721 Henry Cohn, 2026, needs more optimization.
18 480 0.296296296297 Henry Cohn, 2025, by enlarging a code from T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
27⁢x−8
18 481 0.298380798203 Henry Cohn, 2026, needs more optimization.
18 482 0.300180849744 Henry Cohn, 2026, needs more optimization.
18 483 0.301454683374 Henry Cohn, 2026, needs more optimization.
18 484 0.302682504652 Henry Cohn, 2026, needs more optimization.
18 485 0.303478196039 Henry Cohn, 2026, needs more optimization.
18 486 0.305662833709 Henry Cohn, 2026, needs more optimization.
18 487 0.307359298673 Henry Cohn, 2026, needs more optimization.
18 488 0.308309646681 Henry Cohn, 2026, needs more optimization.
18 489 0.308681433712 Henry Cohn, 2026, needs more optimization.
18 490 0.309601710184 Henry Cohn, 2026, needs more optimization.
18 491 0.309881961433 Henry Cohn, 2026, needs more optimization.
18 492 0.310035492865 Henry Cohn, 2026, needs more optimization.
18 493 0.310428864212 Henry Cohn, 2026, needs more optimization.
18 494 0.310453806451 Robert Dallara, 2026.
18 495 0.311264946295 Henry Cohn, 2026, needs more optimization.
18 496 0.311799224616 Henry Cohn, 2026, needs more optimization.
18 497 0.312165487932 Henry Cohn, 2026, needs more optimization.
18 498 0.312689150802 Henry Cohn, 2026, needs more optimization.
18 499 0.313175774429 Henry Cohn, 2026, needs more optimization.
18 500 0.313190382139 Henry Cohn, 2026, needs more optimization.
18 501 0.314336609230 Henry Cohn, 2026, needs more optimization.
18 502 0.315078078315 Henry Cohn, 2026, needs more optimization.
18 503 0.315502121962 Henry Cohn, 2026, needs more optimization.
18 504 0.316735009907 Henry Cohn, 2026, needs more optimization.
18 505 0.317102500047 Henry Cohn, 2026, needs more optimization.
18 506 0.317419524246 Henry Cohn, 2026, needs more optimization.
18 507 0.317883201839 Henry Cohn, 2026, needs more optimization.
18 508 0.318370574293 Henry Cohn, 2026, needs more optimization.
18 509 0.318551927855 Henry Cohn, 2026, needs more optimization.
18 510 0.318676127620 Henry Cohn, 2026, needs more optimization.
18 511 0.318929628512 Henry Cohn, 2026, needs more optimization.
18 512 0.319257584856 Henry Cohn, 2026, needs more optimization.
18 513 0.319284097780 Henry Cohn, 2026, needs more optimization.
18 514 0.319463072778 Henry Cohn, 2026, needs more optimization.
18 515 0.319680260890 Henry Cohn, 2026, needs more optimization.
18 517 0.320208122320 Robert Dallara, 2026.
18 518 0.321004254541 Henry Cohn, 2026, needs more optimization.
18 519 0.321422762902 Henry Cohn, 2026, needs more optimization.
18 520 0.321495560924 Henry Cohn, 2026, needs more optimization.
18 521 0.321860673445 Henry Cohn, 2026, needs more optimization.
18 522 0.323073023864 Henry Cohn, 2026, needs more optimization.
18 523 0.323106563864 Henry Cohn, 2026, needs more optimization.
18 524 0.323166981097 Henry Cohn, 2026, needs more optimization.
18 525 0.323615641046 Henry Cohn, 2026, needs more optimization.
18 526 0.323938478689 Henry Cohn, 2026, needs more optimization.
18 527 0.324353310302 Henry Cohn, 2026, needs more optimization.
18 528 0.324445119753 Henry Cohn, 2026, needs more optimization.
18 529 0.324569663462 Henry Cohn, 2026, needs more optimization.
18 530 0.324930627717 Henry Cohn, 2026, needs more optimization.
18 531 0.325262188340 Henry Cohn, 2026, needs more optimization.
18 532 0.325685768116 Henry Cohn, 2026, needs more optimization.
18 533 0.326007406002 Henry Cohn, 2026, needs more optimization.
18 534 0.326333227052 Henry Cohn, 2026, needs more optimization.
18 535 0.326574830501 Henry Cohn, 2026, needs more optimization.
18 536 0.326875241246 Henry Cohn, 2026, needs more optimization.
18 537 0.327103004260 Henry Cohn, 2026, needs more optimization.
18 538 0.327723857465 Henry Cohn, 2026, needs more optimization.
18 539 0.327903829211 Henry Cohn, 2026, needs more optimization.
18 540 0.328307499593 Henry Cohn, 2026, needs more optimization.
18 541 0.328713326031 Henry Cohn, 2026, needs more optimization.
18 542 0.328990681411 Henry Cohn, 2026, needs more optimization.
18 543 0.329066179062 Henry Cohn, 2026, needs more optimization.
18 544 0.329516119685 Henry Cohn, 2026, needs more optimization.
18 545 0.329665017590 Henry Cohn, 2026, needs more optimization.
18 546 0.330029464797 Henry Cohn, 2026, needs more optimization.
18 547 0.330236317501 Henry Cohn, 2026, needs more optimization.
18 548 0.330494624521 Henry Cohn, 2026, needs more optimization.
18 549 0.330846311079 Henry Cohn, 2026, needs more optimization.
18 550 0.331282400523 Henry Cohn, 2026, needs more optimization.
18 551 0.331636383712 Henry Cohn, 2026, needs more optimization.
18 552 0.331922727274 Henry Cohn, 2026, needs more optimization.
18 553 0.332346154488 Henry Cohn, 2026, needs more optimization.
18 554 0.332422014676 Henry Cohn, 2026, needs more optimization.
18 555 0.332557887112 Henry Cohn, 2026, needs more optimization.
18 556 0.332845471360 Henry Cohn, 2026, needs more optimization.
18 557 0.332965864862 Henry Cohn, 2026, needs more optimization.
18 558 0.333149006731 Henry Cohn, 2026, needs more optimization.
18 672 0.333333333334 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
3⁢x−1
18 704 0.333333333334 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
3⁢x−1
18 762 0.341506350947 Henry Cohn, 2026.
32⁢x2−8⁢x−1
18 763 0.341763133541 Henry Cohn, 2026, needs more optimization.
18 764 0.341839327584 Henry Cohn, 2026, needs more optimization.
18 765 0.341961573245 Henry Cohn, 2026, needs more optimization.
18 766 0.342073535955 Henry Cohn, 2026, needs more optimization.
18 767 0.342199509095 Henry Cohn, 2026, needs more optimization.
18 768 0.342337162249 Henry Cohn, 2026, needs more optimization.
18 769 0.343621293088 Henry Cohn, 2026, needs more optimization.
18 770 0.343823591090 Henry Cohn, 2026, needs more optimization.
18 771 0.344022598523 Henry Cohn, 2026, needs more optimization.
18 772 0.344121091125 Henry Cohn, 2026, needs more optimization.
18 778 0.345359762886 Robert Dallara, 2026.
18 783 0.348973109220 Robert Dallara, 2026.
18 784 0.354516805352 Henry Cohn, 2026, needs more optimization.
18 867 0.357142857143 Henry Cohn, 2025, by modifying a construction from C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
14⁢x−5
18 868 0.357142857143 Kevin Li, 2026.
14⁢x−5
18 869 0.373254033747 Henry Cohn, 2026, needs more optimization.
18 1024 0.375 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
8⁢x−3
19 39 0.040648168399 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
5491⁢x3−361⁢x2−19⁢x+1
19 40 0.047619047620 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
21⁢x−1
19 41 0.053165944699 Henry Cohn, 2023.
19 42 0.053978364917 Henry Cohn, 2025.
19 43 0.058551084358 Henry Cohn, 2025.
19 44 0.059131790994 Henry Cohn, 2023.
19 45 0.059418524383 Henry Cohn, 2023.
Minimal polynomial listed in plain text data
19 48 0.063706690497 Henry Cohn, 2023.
215⁢x2+2⁢x−1
19 50 0.069767441861 Henry Cohn, 2023.
43⁢x−3
19 51 0.075262310219 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
19 52 0.076923076924 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13⁢x−1
19 53 0.080493593475 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
19 54 0.081604760575 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
Minimal polynomial listed in plain text data
19 55 0.082178889828 Henry Cohn, 2025.
19 56 0.083233613334 Henry Cohn, 2026.
19 57 0.084523219261 Henry Cohn, 2026.
19 58 0.087689053617 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
19 60 0.090909090910 Kissing configuration of 81 points in 20 dimensions from A. E. Brouwer and W. H. Haemers, Structure and uniqueness of the (81,20,1,6) strongly regular graph, Discrete Math. 106/107 (1992), 77–82, doi:10.1016/0012-365X(92)90532-K.
11⁢x−1
19 62 0.093346164763 Henry Cohn, 2026.
479⁢x2−34⁢x−1
19 66 0.097744360903 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
133⁢x−13
19 69 0.101319957445 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
65739⁢x5−40846⁢x4+8166⁢x3−464⁢x2−21⁢x+2
19 70 0.101392647883 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 71 0.101456840932 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
19 72 0.101838513946 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
Minimal polynomial listed in plain text data
19 73 0.102201317334 Henry Cohn, 2026.
311⁢x2−22⁢x−1
19 74 0.104236915649 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 75 0.107816370259 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 76 0.111553215377 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 77 0.112762647688 Henry Cohn, 2026, needs more optimization.
19 89 0.112912613537 Henry Cohn, 2023.
167⁢x2−10⁢x−1
19 90 0.121308037796 Henry Cohn, 2024.
2809⁢x4−192⁢x3−86⁢x2+1
19 91 0.128902034016 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 92 0.132376265090 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
19 93 0.141277885852 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
19 94 0.142465088813 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
19 100 0.142857142858 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
7⁢x−1
19 102 0.142857142858 Henry Cohn, 2023, by enlarging a code from T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
7⁢x−1
19 103 0.149928121676 Henry Cohn, 2026.
387809⁢x8−966576⁢x7+416044⁢x6−3392⁢x5−20538⁢x4+2192⁢x3+172⁢x2−32⁢x+1
19 104 0.150748959688 Henry Cohn, 2026.
311⁢x4−352⁢x3+90⁢x2−1
19 106 0.152679567196 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
34192⁢x4−15480⁢x3+2113⁢x2−90⁢x+1
19 108 0.153846153847 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13⁢x−2
19 132 0.157894736843 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
19⁢x−3
19 133 0.168802199651 Henry Cohn, 2026.
5929⁢x4−1152⁢x3−536⁢x2+16
19 134 0.174059290326 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 135 0.174801818496 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 136 0.175550550372 Henry Cohn, 2026, needs more optimization.
19 137 0.176550673498 Henry Cohn, 2026, needs more optimization.
19 138 0.177090903188 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 139 0.177606514322 Henry Cohn, 2026, needs more optimization.
19 140 0.178019811191 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 141 0.178301126663 Henry Cohn, 2026, needs more optimization.
19 142 0.178652812730 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 143 0.178909392432 Henry Cohn, 2026, needs more optimization.
19 144 0.179657712697 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 145 0.180306109306 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 146 0.180685030890 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 147 0.182309206945 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 148 0.183200271585 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 149 0.183225490259 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 150 0.184646543855 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
1007⁢x4+740⁢x3+10⁢x2−28⁢x−1
19 151 0.186838119459 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 166 0.189189189190 Henry Cohn, 2026.
37⁢x−7
19 176 0.191919191920 Henry Cohn, 2025, by enlarging a code from T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
99⁢x−19
19 177 0.193637369253 Henry Cohn, 2026.
100489⁢x4−30400⁢x3−14550⁢x2+625
19 178 0.194661393927 Henry Cohn, 2026, needs more optimization.
19 179 0.195465848446 Henry Cohn, 2026, needs more optimization.
19 180 0.195821119718 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 181 0.196870703033 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 182 0.197578666900 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 183 0.198393261324 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 184 0.199205109236 Henry Cohn, 2026, needs more optimization.
19 185 0.199756703906 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 192 0.2 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
5⁢x−1
19 193 0.203357314598 Henry Cohn, 2026.
112896⁢x4−30400⁢x3−13600⁢x2+625
19 194 0.205822998955 Henry Cohn, 2026, needs more optimization.
19 195 0.206601200687 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 196 0.206640693014 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 197 0.208044942247 Henry Cohn, 2026, needs more optimization.
19 198 0.208915963894 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 199 0.209678884848 Henry Cohn, 2026, needs more optimization.
19 200 0.210514285599 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 202 0.210526315790 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
19⁢x−4
19 203 0.211922187577 Henry Cohn, 2026, needs more optimization.
19 204 0.212307068354 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 205 0.212680798535 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 206 0.212878819941 Henry Cohn, 2026, needs more optimization.
19 207 0.213595352373 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 208 0.214188750906 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 209 0.214459455806 Henry Cohn, 2026, needs more optimization.
19 210 0.214513080684 Henry Cohn, 2026, needs more optimization.
19 211 0.215135187414 Henry Cohn, 2026, needs more optimization.
19 212 0.215583838289 Henry Cohn, 2026, needs more optimization.
19 213 0.216091329635 Henry Cohn, 2026, needs more optimization.
19 214 0.216350850178 Henry Cohn, 2026, needs more optimization.
19 215 0.216836749590 Henry Cohn, 2026, needs more optimization.
19 216 0.217366865264 Henry Cohn, 2026, needs more optimization.
19 217 0.217542682792 Henry Cohn, 2026, needs more optimization.
19 218 0.217684990943 Henry Cohn, 2026, needs more optimization.
19 219 0.218633657311 Henry Cohn, 2026, needs more optimization.
19 220 0.219417245338 Robert Dallara, 2026.
19 221 0.220097365606 Henry Cohn, 2026, needs more optimization.
19 222 0.220618346979 Henry Cohn, 2026, needs more optimization.
19 223 0.221060909689 Henry Cohn, 2026, needs more optimization.
19 224 0.221135382308 Henry Cohn, 2026, needs more optimization.
19 225 0.221296407500 Henry Cohn, 2026, needs more optimization.
19 226 0.221374062644 Henry Cohn, 2026, needs more optimization.
19 227 0.221402104793 Henry Cohn, 2026, needs more optimization.
19 228 0.221454622616 Henry Cohn, 2026, needs more optimization.
19 229 0.221592039835 Henry Cohn, 2026, needs more optimization.
19 230 0.221593003648 Henry Cohn, 2026, needs more optimization.
19 231 0.221699088947 Henry Cohn, 2026, needs more optimization.
19 232 0.221750106083 Henry Cohn, 2026, needs more optimization.
19 237 0.221860313442 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
Minimal polynomial listed in plain text data
19 238 0.221860313442 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
19 239 0.223339171218 Henry Cohn, 2026, needs more optimization.
19 240 0.226056364481 Henry Cohn, 2026, needs more optimization.
19 241 0.226358422801 Henry Cohn, 2026, needs more optimization.
19 242 0.226789063136 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 243 0.227019621869 Henry Cohn, 2026, needs more optimization.
19 244 0.227575417635 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 245 0.227576311280 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 246 0.227577244946 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 247 0.227580827274 Henry Cohn, 2026, needs more optimization.
19 248 0.227584310565 Henry Cohn, 2026, needs more optimization.
19 249 0.227586671702 Henry Cohn, 2026, needs more optimization.
19 250 0.227587125823 Henry Cohn, 2026, needs more optimization.
19 251 0.227589956048 Henry Cohn, 2026, needs more optimization.
19 252 0.227594063025 Henry Cohn, 2026, needs more optimization.
19 253 0.227597779950 Henry Cohn, 2026, needs more optimization.
19 255 0.227597794389 Henry Cohn, 2026, needs more optimization.
19 256 0.229464897897 Henry Cohn, 2026, needs more optimization.
19 277 0.230769230770 Henry Cohn, 2025, by enlarging a code from T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
13⁢x−3
19 278 0.235886070194 Henry Cohn, 2026, needs more optimization.
19 279 0.237008160346 Henry Cohn, 2026, needs more optimization.
19 280 0.237984017289 Henry Cohn, 2026, needs more optimization.
19 291 0.238519273263 Henry Cohn, 2026.
199⁢x3+33⁢x2−15⁢x−1
19 292 0.240704635253 Henry Cohn, 2026, needs more optimization.
19 293 0.242296794172 Henry Cohn, 2026, needs more optimization.
19 294 0.243821122648 Henry Cohn, 2026, needs more optimization.
19 295 0.244482809548 Henry Cohn, 2026, needs more optimization.
19 296 0.244729045323 Henry Cohn, 2026, needs more optimization.
19 297 0.245791719042 Henry Cohn, 2026, needs more optimization.
19 298 0.245995028956 Henry Cohn, 2026, needs more optimization.
19 299 0.246428418837 Henry Cohn, 2026, needs more optimization.
19 300 0.246533721126 Henry Cohn, 2026, needs more optimization.
19 301 0.247762255828 Henry Cohn, 2026, needs more optimization.
19 302 0.248087562859 Henry Cohn, 2026, needs more optimization.
19 303 0.248938709860 Henry Cohn, 2026, needs more optimization.
19 304 0.249109051563 Henry Cohn, 2026, needs more optimization.
19 305 0.249315495397 Henry Cohn, 2026, needs more optimization.
19 306 0.249752909538 Henry Cohn, 2026, needs more optimization.
19 307 0.249868374572 Henry Cohn, 2026, needs more optimization.
19 308 0.249874926567 Henry Cohn, 2026, needs more optimization.
19 309 0.249884815611 Henry Cohn, 2026, needs more optimization.
19 310 0.249891435000 Henry Cohn, 2026, needs more optimization.
19 311 0.249895961214 Henry Cohn, 2026, needs more optimization.
19 312 0.249901179253 Henry Cohn, 2026, needs more optimization.
19 313 0.249912438247 Henry Cohn, 2026, needs more optimization.
19 314 0.249916981845 Henry Cohn, 2026, needs more optimization.
19 315 0.249926188524 Henry Cohn, 2026, needs more optimization.
19 316 0.249937171367 Henry Cohn, 2026, needs more optimization.
19 317 0.249940704321 Henry Cohn, 2026, needs more optimization.
19 318 0.249945409242 Robert Dallara, 2026.
19 319 0.249952886785 Henry Cohn, 2026, needs more optimization.
19 320 0.249985424520 Henry Cohn, 2026, needs more optimization.
19 321 0.249993721374 Henry Cohn, 2026, needs more optimization.
19 322 0.249999769008 Henry Cohn, 2026, needs more optimization.
19 323 0.250001967202 Henry Cohn, 2026, needs more optimization.
19 324 0.250007632072 Henry Cohn, 2026, needs more optimization.
19 325 0.250044072857 Henry Cohn, 2026, needs more optimization.
19 326 0.250142464309 Henry Cohn, 2026, needs more optimization.
19 327 0.250524571822 Robert Dallara, 2026.
19 328 0.251779735752 Henry Cohn, 2026, needs more optimization.
19 329 0.252744606053 Henry Cohn, 2026, needs more optimization.
19 330 0.252979748362 Robert Dallara, 2026.
19 331 0.254207917428 Henry Cohn, 2026, needs more optimization.
19 332 0.255659368060 Henry Cohn, 2026, needs more optimization.
19 333 0.256788531203 Henry Cohn, 2026, needs more optimization.
19 334 0.257973348002 Henry Cohn, 2026, needs more optimization.
19 335 0.258029077755 Henry Cohn, 2026, needs more optimization.
19 336 0.258102112542 Henry Cohn, 2026, needs more optimization.
19 337 0.258189335326 Henry Cohn, 2026, needs more optimization.
19 338 0.258247009580 Henry Cohn, 2026, needs more optimization.
19 339 0.258353681610 Henry Cohn, 2026, needs more optimization.
19 340 0.258478739641 Henry Cohn, 2026, needs more optimization.
19 341 0.258539389048 Henry Cohn, 2026, needs more optimization.
19 342 0.258639599537 Henry Cohn, 2026, needs more optimization.
19 343 0.258804106360 Henry Cohn, 2026, needs more optimization.
19 344 0.258815767539 Henry Cohn, 2026, needs more optimization.
19 345 0.258816563755 Henry Cohn, 2026, needs more optimization.
19 346 0.258826117976 Henry Cohn, 2026, needs more optimization.
19 347 0.258830091779 Henry Cohn, 2026, needs more optimization.
19 348 0.258871269603 Henry Cohn, 2026, needs more optimization.
19 349 0.258924482730 Henry Cohn, 2026, needs more optimization.
19 350 0.259050708897 Henry Cohn, 2026, needs more optimization.
19 351 0.259173494630 Henry Cohn, 2026, needs more optimization.
19 352 0.259221944117 Henry Cohn, 2026, needs more optimization.
19 353 0.259289677582 Henry Cohn, 2026, needs more optimization.
19 354 0.259359382071 Henry Cohn, 2026, needs more optimization.
19 355 0.259408811163 Henry Cohn, 2026, needs more optimization.
19 356 0.259435846727 Henry Cohn, 2026, needs more optimization.
19 357 0.259528240961 Henry Cohn, 2026, needs more optimization.
19 358 0.259864618315 Henry Cohn, 2026, needs more optimization.
19 359 0.259951736861 Henry Cohn, 2026, needs more optimization.
19 360 0.260586626727 Henry Cohn, 2026, needs more optimization.
19 361 0.261336361386 Henry Cohn, 2026, needs more optimization.
19 362 0.263643507919 Henry Cohn, 2026, needs more optimization.
19 363 0.264572302392 Henry Cohn, 2026, needs more optimization.
19 364 0.265108452326 Henry Cohn, 2026, needs more optimization.
19 365 0.266421291327 Henry Cohn, 2026, needs more optimization.
19 366 0.267497861944 Henry Cohn, 2026, needs more optimization.
19 367 0.268521021388 Henry Cohn, 2026, needs more optimization.
19 368 0.269906771338 Henry Cohn, 2026, needs more optimization.
19 369 0.271284401119 Henry Cohn, 2026, needs more optimization.
19 404 0.272727272728 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
11⁢x−3
19 405 0.278180713819 Henry Cohn, 2026, needs more optimization.
19 406 0.279384866685 Henry Cohn, 2026, needs more optimization.
19 407 0.280578062381 Henry Cohn, 2026, needs more optimization.
19 408 0.281350861821 Henry Cohn, 2026, needs more optimization.
19 409 0.282093844312 Henry Cohn, 2026, needs more optimization.
19 410 0.282455902635 Henry Cohn, 2026, needs more optimization.
19 411 0.282665892794 Henry Cohn, 2026, needs more optimization.
19 412 0.282900006495 Henry Cohn, 2026, needs more optimization.
19 413 0.283124637852 Henry Cohn, 2026, needs more optimization.
19 414 0.283380336883 Henry Cohn, 2026, needs more optimization.
19 415 0.283820923856 Henry Cohn, 2026, needs more optimization.
19 416 0.285208300319 Henry Cohn, 2026, needs more optimization.
19 417 0.285989103175 Henry Cohn, 2026, needs more optimization.
19 418 0.286620327997 Henry Cohn, 2026, needs more optimization.
19 419 0.286897284478 Henry Cohn, 2026, needs more optimization.
19 420 0.287320644717 Henry Cohn, 2026, needs more optimization.
19 477 0.287671232877 Henry Cohn, 2026.
73⁢x−21
19 478 0.287797945587 Henry Cohn, 2026, needs more optimization.
19 479 0.287873233823 Henry Cohn, 2026, needs more optimization.
19 480 0.287925870162 Henry Cohn, 2026, needs more optimization.
19 569 0.294117647059 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
17⁢x−5
19 578 0.294117647059 Henry Cohn, 2026.
17⁢x−5
19 579 0.295154602316 Henry Cohn, 2026, needs more optimization.
19 580 0.295976988877 Henry Cohn, 2026, needs more optimization.
19 581 0.296007298178 Henry Cohn, 2026, needs more optimization.
19 582 0.296049238331 Henry Cohn, 2026, needs more optimization.
19 583 0.296393084382 Henry Cohn, 2026, needs more optimization.
19 584 0.296835017889 Henry Cohn, 2026, needs more optimization.
19 585 0.296934343909 Henry Cohn, 2026, needs more optimization.
19 586 0.297170049981 Henry Cohn, 2026, needs more optimization.
19 587 0.297366006878 Henry Cohn, 2026, needs more optimization.
19 588 0.297835405644 Henry Cohn, 2026, needs more optimization.
19 589 0.298138106114 Henry Cohn, 2026, needs more optimization.
19 590 0.298503960732 Henry Cohn, 2026, needs more optimization.
19 591 0.298843489882 Henry Cohn, 2026, needs more optimization.
19 592 0.299187675774 Henry Cohn, 2026, needs more optimization.
19 593 0.299286046781 Henry Cohn, 2026, needs more optimization.
19 594 0.299540141019 Henry Cohn, 2026, needs more optimization.
19 595 0.299674080354 Henry Cohn, 2026, needs more optimization.
19 596 0.299852842455 Henry Cohn, 2026, needs more optimization.
19 597 0.300024574797 Henry Cohn, 2026, needs more optimization.
19 598 0.300229917764 Henry Cohn, 2026, needs more optimization.
19 599 0.300366911115 Henry Cohn, 2026, needs more optimization.
19 600 0.300489543469 Henry Cohn, 2026, needs more optimization.
19 601 0.300634371296 Henry Cohn, 2026, needs more optimization.
19 602 0.300851164315 Henry Cohn, 2026, needs more optimization.
19 603 0.301013105225 Henry Cohn, 2026, needs more optimization.
19 604 0.301359904852 Henry Cohn, 2026, needs more optimization.
19 605 0.301633285303 Henry Cohn, 2026, needs more optimization.
19 606 0.301896397371 Henry Cohn, 2026, needs more optimization.
19 607 0.302100645303 Henry Cohn, 2026, needs more optimization.
19 608 0.302342660815 Henry Cohn, 2026, needs more optimization.
19 609 0.302592827290 Henry Cohn, 2026, needs more optimization.
19 610 0.302849023516 Henry Cohn, 2026, needs more optimization.
19 611 0.303037641107 Henry Cohn, 2026, needs more optimization.
19 615 0.303211920327 Robert Dallara, 2026.
19 616 0.303865027705 Henry Cohn, 2026, needs more optimization.
19 618 0.303892365563 Robert Dallara, 2026.
19 619 0.304248742068 Henry Cohn, 2026, needs more optimization.
19 620 0.304346546517 Henry Cohn, 2026, needs more optimization.
19 621 0.304449012980 Henry Cohn, 2026, needs more optimization.
19 622 0.304551559655 Henry Cohn, 2026, needs more optimization.
19 623 0.305092664093 Henry Cohn, 2026, needs more optimization.
19 624 0.305096043992 Henry Cohn, 2026, needs more optimization.
19 625 0.305097251064 Henry Cohn, 2026, needs more optimization.
19 626 0.305106738055 Henry Cohn, 2026, needs more optimization.
19 627 0.305114261859 Henry Cohn, 2026, needs more optimization.
19 628 0.305118234956 Henry Cohn, 2026, needs more optimization.
19 629 0.305123985994 Henry Cohn, 2026, needs more optimization.
19 630 0.305129359738 Henry Cohn, 2026, needs more optimization.
19 631 0.305132809153 Henry Cohn, 2026, needs more optimization.
19 632 0.305144682179 Henry Cohn, 2026, needs more optimization.
19 633 0.305147820534 Henry Cohn, 2026, needs more optimization.
19 634 0.305152503710 Henry Cohn, 2026, needs more optimization.
19 635 0.305155443807 Henry Cohn, 2026, needs more optimization.
19 636 0.305160760945 Henry Cohn, 2026, needs more optimization.
19 637 0.305164385466 Henry Cohn, 2026, needs more optimization.
19 638 0.305168565825 Henry Cohn, 2026, needs more optimization.
19 639 0.305172393405 Henry Cohn, 2026, needs more optimization.
19 640 0.305174490037 Henry Cohn, 2026, needs more optimization.
19 641 0.308263750996 Henry Cohn, 2026, needs more optimization.
19 642 0.308276216068 Henry Cohn, 2026, needs more optimization.
19 643 0.308281147253 Henry Cohn, 2026, needs more optimization.
19 644 0.308281619733 Henry Cohn, 2026, needs more optimization.
19 645 0.309144611230 Henry Cohn, 2026, needs more optimization.
19 646 0.309756103233 Henry Cohn, 2026, needs more optimization.
19 647 0.310676756820 Henry Cohn, 2026, needs more optimization.
19 648 0.310959396013 Henry Cohn, 2026, needs more optimization.
19 649 0.311339318998 Henry Cohn, 2026, needs more optimization.
19 650 0.311459517183 Henry Cohn, 2026, needs more optimization.
19 651 0.311956748427 Henry Cohn, 2026, needs more optimization.
19 652 0.312211551349 Henry Cohn, 2026, needs more optimization.
19 653 0.312267857276 Henry Cohn, 2026, needs more optimization.
19 654 0.312731782422 Henry Cohn, 2026, needs more optimization.
19 655 0.312977276184 Henry Cohn, 2026, needs more optimization.
19 656 0.313150662390 Henry Cohn, 2026, needs more optimization.
19 657 0.313578743829 Henry Cohn, 2026, needs more optimization.
19 658 0.313799795688 Henry Cohn, 2026, needs more optimization.
19 659 0.314009792783 Henry Cohn, 2026, needs more optimization.
19 660 0.314163236224 Henry Cohn, 2026, needs more optimization.
19 661 0.314393045267 Henry Cohn, 2026, needs more optimization.
19 662 0.314544277613 Henry Cohn, 2026, needs more optimization.
19 663 0.314809474546 Henry Cohn, 2026, needs more optimization.
19 664 0.314972874047 Henry Cohn, 2026, needs more optimization.
19 665 0.315218693676 Henry Cohn, 2026, needs more optimization.
19 666 0.315351818261 Henry Cohn, 2026, needs more optimization.
19 667 0.315390508412 Henry Cohn, 2026, needs more optimization.
19 668 0.315672868200 Henry Cohn, 2026, needs more optimization.
19 669 0.315850906547 Henry Cohn, 2026, needs more optimization.
19 670 0.316102824309 Henry Cohn, 2026, needs more optimization.
19 671 0.316452513234 Henry Cohn, 2026, needs more optimization.
19 672 0.316543787084 Henry Cohn, 2026, needs more optimization.
19 673 0.316700032779 Henry Cohn, 2026, needs more optimization.
19 674 0.316961188780 Henry Cohn, 2026, needs more optimization.
19 675 0.317116591214 Henry Cohn, 2026, needs more optimization.
19 676 0.317245304679 Henry Cohn, 2026, needs more optimization.
19 677 0.317315443882 Henry Cohn, 2026, needs more optimization.
19 678 0.317572743628 Henry Cohn, 2026, needs more optimization.
19 679 0.317927947815 Henry Cohn, 2026, needs more optimization.
19 680 0.318232309180 Henry Cohn, 2026, needs more optimization.
19 681 0.318366694739 Henry Cohn, 2026, needs more optimization.
19 682 0.318722695017 Henry Cohn, 2026, needs more optimization.
19 683 0.318984838894 Henry Cohn, 2026, needs more optimization.
19 684 0.319315872800 Henry Cohn, 2026, needs more optimization.
19 685 0.319451504058 Henry Cohn, 2026, needs more optimization.
19 686 0.319674854253 Henry Cohn, 2026, needs more optimization.
19 687 0.319785959694 Henry Cohn, 2026, needs more optimization.
19 688 0.320173983406 Henry Cohn, 2026, needs more optimization.
19 689 0.320281566976 Henry Cohn, 2026, needs more optimization.
19 690 0.320489392477 Henry Cohn, 2026, needs more optimization.
19 691 0.320723885043 Henry Cohn, 2026, needs more optimization.
19 692 0.321068273620 Henry Cohn, 2026, needs more optimization.
19 693 0.321286830619 Henry Cohn, 2026, needs more optimization.
19 694 0.321406553180 Henry Cohn, 2026, needs more optimization.
19 695 0.321757346107 Henry Cohn, 2026, needs more optimization.
19 696 0.321903769799 Henry Cohn, 2026, needs more optimization.
19 697 0.322133994506 Henry Cohn, 2026, needs more optimization.
19 698 0.322371033964 Henry Cohn, 2026, needs more optimization.
19 699 0.322542445303 Henry Cohn, 2026, needs more optimization.
19 700 0.322608870507 Henry Cohn, 2026, needs more optimization.
19 701 0.322685573713 Henry Cohn, 2026, needs more optimization.
19 702 0.322920339413 Henry Cohn, 2026, needs more optimization.
19 703 0.323187005186 Henry Cohn, 2026, needs more optimization.
19 704 0.323563557388 Henry Cohn, 2026, needs more optimization.
19 705 0.323707248476 Henry Cohn, 2026, needs more optimization.
19 706 0.323801337479 Henry Cohn, 2026, needs more optimization.
19 707 0.323987738831 Henry Cohn, 2026, needs more optimization.
19 708 0.324132805360 Henry Cohn, 2026, needs more optimization.
19 709 0.324304354220 Henry Cohn, 2026, needs more optimization.
19 710 0.324379906859 Henry Cohn, 2026, needs more optimization.
19 711 0.324469672437 Henry Cohn, 2026, needs more optimization.
19 712 0.324548861338 Henry Cohn, 2026, needs more optimization.
19 713 0.324821014094 Henry Cohn, 2026, needs more optimization.
19 714 0.324918594919 Henry Cohn, 2026, needs more optimization.
19 715 0.325139983161 Henry Cohn, 2026, needs more optimization.
19 716 0.325361708410 Henry Cohn, 2026, needs more optimization.
19 717 0.325612434609 Henry Cohn, 2026, needs more optimization.
19 718 0.325804006852 Henry Cohn, 2026, needs more optimization.
19 719 0.326036450524 Henry Cohn, 2026, needs more optimization.
19 720 0.326204000920 Henry Cohn, 2026, needs more optimization.
19 721 0.326323735520 Henry Cohn, 2026, needs more optimization.
19 722 0.326526158731 Henry Cohn, 2026, needs more optimization.
19 723 0.326633833223 Henry Cohn, 2026, needs more optimization.
19 724 0.326711127454 Henry Cohn, 2026, needs more optimization.
19 725 0.326817379176 Henry Cohn, 2026, needs more optimization.
19 726 0.326984995732 Henry Cohn, 2026, needs more optimization.
19 727 0.327093603724 Henry Cohn, 2026, needs more optimization.
19 728 0.327249635022 Henry Cohn, 2026, needs more optimization.
19 729 0.327400827943 Henry Cohn, 2026, needs more optimization.
19 730 0.327702737557 Henry Cohn, 2026, needs more optimization.
19 731 0.327798553231 Henry Cohn, 2026, needs more optimization.
19 732 0.327934616839 Henry Cohn, 2026, needs more optimization.
19 733 0.328128490801 Henry Cohn, 2026, needs more optimization.
19 734 0.328247528722 Henry Cohn, 2026, needs more optimization.
19 735 0.328425126581 Henry Cohn, 2026, needs more optimization.
19 736 0.328566423648 Henry Cohn, 2026, needs more optimization.
19 737 0.328755706981 Henry Cohn, 2026, needs more optimization.
19 738 0.328944344929 Henry Cohn, 2026, needs more optimization.
19 739 0.329136714337 Henry Cohn, 2026, needs more optimization.
19 740 0.329436596719 Henry Cohn, 2026, needs more optimization.
19 741 0.329750896349 Henry Cohn, 2026, needs more optimization.
19 742 0.329870934695 Henry Cohn, 2026, needs more optimization.
19 743 0.330128046560 Henry Cohn, 2026, needs more optimization.
19 744 0.330398503500 Henry Cohn, 2026, needs more optimization.
19 745 0.330484236946 Henry Cohn, 2026, needs more optimization.
19 746 0.330737720171 Henry Cohn, 2026, needs more optimization.
19 747 0.330830514165 Henry Cohn, 2026, needs more optimization.
19 748 0.331084328133 Henry Cohn, 2026, needs more optimization.
19 749 0.331220815943 Henry Cohn, 2026, needs more optimization.
19 750 0.331413064381 Henry Cohn, 2026, needs more optimization.
19 751 0.331645333101 Henry Cohn, 2026, needs more optimization.
19 752 0.331878521598 Henry Cohn, 2026, needs more optimization.
19 753 0.332141154521 Henry Cohn, 2026, needs more optimization.
19 754 0.332340460086 Henry Cohn, 2026, needs more optimization.
19 755 0.332672510612 Henry Cohn, 2026, needs more optimization.
19 756 0.332848022595 Henry Cohn, 2026, needs more optimization.
19 757 0.333055194269 Henry Cohn, 2026, needs more optimization.
19 896 0.333333333334 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
3⁢x−1
19 897 0.339468225234 Henry Cohn, 2026, needs more optimization.
19 898 0.341203619174 Henry Cohn, 2026, needs more optimization.
19 899 0.342630959057 Henry Cohn, 2026, needs more optimization.
19 900 0.344028056246 Henry Cohn, 2026, needs more optimization.
19 901 0.345530977582 Henry Cohn, 2026, needs more optimization.
19 902 0.346047631383 Henry Cohn, 2026, needs more optimization.
19 903 0.346834034945 Henry Cohn, 2026, needs more optimization.
19 904 0.347400474079 Henry Cohn, 2026, needs more optimization.
19 905 0.347928799790 Henry Cohn, 2026, needs more optimization.
19 906 0.348379179702 Henry Cohn, 2026, needs more optimization.
19 907 0.349035496845 Henry Cohn, 2026, needs more optimization.
19 908 0.349287851483 Henry Cohn, 2026, needs more optimization.
19 909 0.349719626808 Henry Cohn, 2026, needs more optimization.
19 910 0.350000014915 Henry Cohn, 2026, needs more optimization.
19 911 0.350105991063 Henry Cohn, 2026, needs more optimization.
19 912 0.350850553550 Henry Cohn, 2026, needs more optimization.
19 913 0.350981114829 Henry Cohn, 2026, needs more optimization.
19 914 0.351378847946 Henry Cohn, 2026, needs more optimization.
19 915 0.351463294921 Henry Cohn, 2026, needs more optimization.
19 916 0.351524278091 Henry Cohn, 2026, needs more optimization.
19 917 0.351612340321 Henry Cohn, 2026, needs more optimization.
19 918 0.351656567711 Henry Cohn, 2026, needs more optimization.
19 919 0.351793158307 Henry Cohn, 2026, needs more optimization.
19 920 0.351910920606 Henry Cohn, 2026, needs more optimization.
19 921 0.352102403783 Henry Cohn, 2026, needs more optimization.
19 922 0.352185280406 Henry Cohn, 2026, needs more optimization.
19 923 0.352263455320 Henry Cohn, 2026, needs more optimization.
19 924 0.352459780257 Henry Cohn, 2026, needs more optimization.
19 925 0.352529652799 Henry Cohn, 2026, needs more optimization.
19 926 0.352729997533 Henry Cohn, 2026, needs more optimization.
19 927 0.352981149585 Henry Cohn, 2026, needs more optimization.
19 928 0.353075857925 Henry Cohn, 2026, needs more optimization.
19 929 0.353213856650 Henry Cohn, 2026, needs more optimization.
19 930 0.353417600507 Henry Cohn, 2026, needs more optimization.
19 931 0.353667822805 Henry Cohn, 2026, needs more optimization.
19 932 0.353766517940 Henry Cohn, 2026, needs more optimization.
19 933 0.353855407925 Henry Cohn, 2026, needs more optimization.
19 934 0.354022188138 Henry Cohn, 2026, needs more optimization.
19 935 0.354183261505 Henry Cohn, 2026, needs more optimization.
19 936 0.354326432779 Henry Cohn, 2026, needs more optimization.
19 937 0.354508371511 Henry Cohn, 2026, needs more optimization.
19 938 0.354673829334 Henry Cohn, 2026, needs more optimization.
19 1024 0.354838709678 Henry Cohn, 2026, subcode of a code of size 1040.
31⁢x−11
20 41 0.038815055717 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
6480⁢x3−400⁢x2−20⁢x+1
20 42 0.045454545455 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
22⁢x−1
20 43 0.050117159654 Henry Cohn, 2024.
6493504⁢x6+4442432⁢x5−359919⁢x4−90844⁢x3+13006⁢x2−588⁢x+9
20 44 0.051781487230 Henry Cohn, 2023.
20 45 0.053400898990 Henry Cohn, 2023.
Minimal polynomial listed in plain text data
20 46 0.053968966531 Henry Cohn, 2025.
20 47 0.053993355922 Henry Cohn, 2023.
120⁢x2−25⁢x+1
20 48 0.055838151510 Henry Cohn, 2023.
464⁢x2−8⁢x−1
20 49 0.060513303142 Henry Cohn, 2023.
Minimal polynomial listed in plain text data
20 50 0.063702950432 Henry Cohn, 2025.
20 56* 0.066666666667 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114; H. Cohn, D. de Laat, and N. Leijenhorst, Optimality of spherical codes via exact semidefinite programming bounds, preprint, 2024, arXiv:2403.16874.
15⁢x−1
20 60 0.076923076924 Kissing configuration of 77 points in 21 dimensions.
13⁢x−1
20 63 0.081967213115 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
61⁢x−5
20 64 0.087282748333 Henry Cohn, 2026.
20 65 0.087640553688 Henry Cohn, 2026.
185075⁢x5−15027⁢x4−1354⁢x3+82⁢x2−9⁢x+1
20 66 0.089335555280 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
1098289⁢x4−254252⁢x3+10910⁢x2+708⁢x−39
20 67 0.090150903490 Henry Cohn, 2026.
2103⁢x4−1376⁢x3+230⁢x2−1
20 68 0.092978419163 Henry Cohn, 2026.
20 69 0.094913515239 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
20 70 0.095127924312 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
Minimal polynomial listed in plain text data
20 71 0.098281336418 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
20 81 0.1 A. E. Brouwer and W. H. Haemers, Structure and uniqueness of the (81,20,1,6) strongly regular graph, Discrete Math. 106/107 (1992), 77–82, doi:10.1016/0012-365X(92)90532-K.
10⁢x−1
20 82 0.111111111112 Henry Cohn, 2026.
9⁢x−1
20 83 0.112888058065 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
20 84 0.112889958832 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
20 85 0.112902505491 Henry Cohn, 2026, needs more optimization.
20 86 0.112907857991 Henry Cohn, 2026, needs more optimization.
20 87 0.112908491648 Henry Cohn, 2026, needs more optimization.
20 88 0.112909650540 Henry Cohn, 2026, needs more optimization.
20 89 0.112909693772 Henry Cohn, 2026, needs more optimization.
20 90 0.112912295598 Henry Cohn, 2026, needs more optimization.
20 91 0.112912613358 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
20 92 0.112912613537 Henry Cohn, 2025.
167⁢x2−10⁢x−1
20 93 0.118699001808 Henry Cohn, 2026.
20 94 0.124468630127 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
20 105 0.125 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
8⁢x−1
20 106 0.136915269061 Henry Cohn, 2026.
7225⁢x4−990⁢x3−480⁢x2+9
20 120 0.142857142858 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
7⁢x−1
20 124 0.145853791080 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
20 125 0.147670835571 Henry Cohn, 2026.
20 126 0.148571041390 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7553200⁢x4−11360760⁢x3−6230840⁢x2+589560⁢x+83521
20 127 0.149442790439 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
20 128 0.149899837872 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
20 129 0.150189358893 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
20 130 0.150241396977 Henry Cohn, 2026, needs more optimization.
20 131 0.150478662040 Henry Cohn, 2026, needs more optimization.
20 132 0.150479515514 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
20 133 0.151424111892 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
20 136 0.151500526296 Henry Cohn, 2026.
960⁢x3+339⁢x2−146⁢x+11
20 137 0.153036408394 Henry Cohn, 2026, needs more optimization.
20 138 0.154372897369 Henry Cohn, 2026, needs more optimization.
20 139 0.154944920631 Henry Cohn, 2026, needs more optimization.
20 140 0.155950356108 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
20 141 0.157229456154 Henry Cohn, 2026, needs more optimization.
20 142 0.161809087522 Henry Cohn, 2026, needs more optimization.
20 143 0.166570052975 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
20 170 0.166666666667 E. Bannai and N. J. A. Sloane, Uniqueness of certain spherical codes, Canadian J. Math. 33 (1981), 437–449, doi:10.4153/CJM-1981-038-7.
6⁢x−1
20 171 0.181511878216 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
20 172 0.187877995475 Henry Cohn, 2026, needs more optimization.
20 190 0.189189189190 Kevin Li, 2026.
37⁢x−7
20 191 0.189238296350 Henry Cohn, 2026, needs more optimization.
20 203 0.191919191920 Henry Cohn, 2026.
99⁢x−19
20 204 0.192054325921 Henry Cohn, 2026, needs more optimization.
20 231 0.192307692308 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
26⁢x−5
20 256 0.2 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
5⁢x−1
20 257 0.203357314598 Henry Cohn, 2026.
112896⁢x4−30400⁢x3−13600⁢x2+625
20 258 0.205762308446 Henry Cohn, 2026, needs more optimization.
20 259 0.206601200687 Henry Cohn, 2026, needs more optimization.
20 260 0.208062801955 Henry Cohn, 2026, needs more optimization.
20 263 0.208219478342 Henry Cohn, 2026, needs more optimization.
20 264 0.208832042663 Henry Cohn, 2026, needs more optimization.
20 265 0.211454101235 Henry Cohn, 2026, needs more optimization.
20 266 0.211887768922 Henry Cohn, 2026, needs more optimization.
20 267 0.212320879928 Henry Cohn, 2026, needs more optimization.
20 268 0.212551858035 Henry Cohn, 2026, needs more optimization.
20 269 0.212813446743 Henry Cohn, 2026, needs more optimization.
20 270 0.213128939466 Henry Cohn, 2026, needs more optimization.
20 271 0.213447852942 Henry Cohn, 2026, needs more optimization.
20 272 0.213885456499 Henry Cohn, 2026, needs more optimization.
20 273 0.214281769280 Henry Cohn, 2026, needs more optimization.
20 274 0.214675733726 Henry Cohn, 2026, needs more optimization.
20 275 0.214941056313 Henry Cohn, 2026, needs more optimization.
20 276 0.215250751567 Henry Cohn, 2026, needs more optimization.
20 277 0.215776253751 Henry Cohn, 2026, needs more optimization.
20 278 0.216021569996 Henry Cohn, 2026, needs more optimization.
20 279 0.216300820974 Henry Cohn, 2026, needs more optimization.
20 280 0.216527327431 Henry Cohn, 2026, needs more optimization.
20 281 0.216758694495 Henry Cohn, 2026, needs more optimization.
20 282 0.217056693369 Henry Cohn, 2026, needs more optimization.
20 283 0.217348513000 Henry Cohn, 2026, needs more optimization.
20 284 0.217549977395 Robert Dallara, 2026.
20 285 0.217581746045 Henry Cohn, 2026, needs more optimization.
20 286 0.217820662288 Henry Cohn, 2026, needs more optimization.
20 287 0.217994729970 Henry Cohn, 2026, needs more optimization.
20 288 0.217996137584 Henry Cohn, 2026, needs more optimization.
20 289 0.219882824627 Henry Cohn, 2026, needs more optimization.
20 290 0.220198993016 Henry Cohn, 2026, needs more optimization.
20 291 0.220578967145 Henry Cohn, 2026, needs more optimization.
20 292 0.220686371640 Henry Cohn, 2026, needs more optimization.
20 293 0.220688766057 Henry Cohn, 2026, needs more optimization.
20 294 0.220689220410 Henry Cohn, 2026, needs more optimization.
20 301 0.222222222223 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
9⁢x−2
20 322 0.222222222223 Henry Cohn, 2025, by enlarging a code from T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
9⁢x−2
20 323 0.232387029873 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
20 324 0.236094947374 Henry Cohn, 2026, needs more optimization.
20 378 0.236363636364 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
55⁢x−13
20 379 0.242464085618 Henry Cohn, 2026, needs more optimization.
20 380 0.242498732766 Henry Cohn, 2026, needs more optimization.
20 381 0.242555570188 Henry Cohn, 2026, needs more optimization.
20 382 0.242610847077 Henry Cohn, 2026, needs more optimization.
20 383 0.242675886886 Henry Cohn, 2026, needs more optimization.
20 384 0.242770667356 Henry Cohn, 2026, needs more optimization.
20 385 0.242789937739 Henry Cohn, 2026, needs more optimization.
20 386 0.242850459978 Henry Cohn, 2026, needs more optimization.
20 387 0.242922021777 Henry Cohn, 2026, needs more optimization.
20 388 0.243020601381 Henry Cohn, 2026, needs more optimization.
20 389 0.243100870392 Henry Cohn, 2026, needs more optimization.
20 390 0.243171231294 Henry Cohn, 2026, needs more optimization.
20 391 0.243219017277 Henry Cohn, 2026, needs more optimization.
20 392 0.243332229098 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
Minimal polynomial listed in plain text data
20 393 0.247798395759 Henry Cohn, 2026, needs more optimization.
20 405 0.25 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
4⁢x−1
20 406 0.262172700434 Henry Cohn, 2026, needs more optimization.
20 407 0.264975995554 Henry Cohn, 2026, needs more optimization.
20 473 0.266666666667 Henry Cohn, 2025.
15⁢x−4
20 474 0.269855640235 Henry Cohn, 2026, needs more optimization.
20 475 0.270933957808 Henry Cohn, 2026, needs more optimization.
20 476 0.271665759041 Henry Cohn, 2026, needs more optimization.
20 477 0.272518822148 Henry Cohn, 2026, needs more optimization.
20 524 0.272727272728 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
11⁢x−3
20 567 0.273861278753 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
40⁢x2−3
20 568 0.280556237495 Henry Cohn, 2026, needs more optimization.
20 569 0.283698538889 Henry Cohn, 2026, needs more optimization.
20 640 0.285714285715 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
7⁢x−2
20 641 0.292028046592 Henry Cohn, 2026, needs more optimization.
20 642 0.292808580781 Henry Cohn, 2026, needs more optimization.
20 643 0.293440188047 Henry Cohn, 2026, needs more optimization.
20 644 0.294242441158 Henry Cohn, 2026, needs more optimization.
20 645 0.295374227484 Henry Cohn, 2026, needs more optimization.
20 646 0.296471328838 Henry Cohn, 2026, needs more optimization.
20 647 0.297813435752 Henry Cohn, 2026, needs more optimization.
20 840 0.3 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
10⁢x−3
20 841 0.303064565750 Henry Cohn, 2026, needs more optimization.
20 842 0.305123647693 Henry Cohn, 2026, needs more optimization.
20 843 0.306455154871 Henry Cohn, 2026, needs more optimization.
20 1002 0.307692307693 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
13⁢x−4
20 1003 0.315496048134 Henry Cohn, 2026, needs more optimization.
20 1004 0.315643145476 Henry Cohn, 2026, needs more optimization.
20 1005 0.315888882339 Henry Cohn, 2026, needs more optimization.
20 1006 0.316177394261 Henry Cohn, 2026, needs more optimization.
20 1007 0.316636191938 Henry Cohn, 2026, needs more optimization.
20 1008 0.317747927709 Henry Cohn, 2026, needs more optimization.
20 1009 0.318367344147 Henry Cohn, 2026, needs more optimization.
20 1010 0.320084127944 Henry Cohn, 2026, needs more optimization.
20 1011 0.320320126043 Henry Cohn, 2026, needs more optimization.
20 1012 0.320675415629 Henry Cohn, 2026, needs more optimization.
20 1013 0.320941610224 Henry Cohn, 2026, needs more optimization.
20 1014 0.321165886248 Henry Cohn, 2026, needs more optimization.
20 1015 0.321397204201 Henry Cohn, 2026, needs more optimization.
20 1016 0.321591607280 Henry Cohn, 2026, needs more optimization.
20 1017 0.321789251515 Henry Cohn, 2026, needs more optimization.
20 1018 0.322298318552 Henry Cohn, 2026, needs more optimization.
20 1019 0.322533410966 Henry Cohn, 2026, needs more optimization.
20 1020 0.322731268422 Henry Cohn, 2026, needs more optimization.
20 1021 0.322929325260 Henry Cohn, 2026, needs more optimization.
20 1022 0.323431437256 Henry Cohn, 2026, needs more optimization.
20 1023 0.323981347940 Henry Cohn, 2026, needs more optimization.
20 1024 0.323986906999 Henry Cohn, 2026, needs more optimization.
21 43 0.037145782135 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
7581⁢x3−441⁢x2−21⁢x+1
21 44 0.043532808199 Henry Cohn, 2023.
21 50* 0.047619047620 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001; H. Cohn, D. de Laat, and N. Leijenhorst, Optimality of spherical codes via exact semidefinite programming bounds, preprint, 2024, arXiv:2403.16874.
21⁢x−1
21 51 0.058781524104 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
21 52 0.062634852632 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
21 53 0.066653866627 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
21 54 0.066663853221 Henry Cohn, 2026, needs more optimization.
21 55 0.066666055545 Henry Cohn, 2026, needs more optimization.
21 56 0.066666614051 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
21 57 0.066666660446 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
21 58 0.066666666335 Henry Cohn, 2026, needs more optimization.
21 59 0.072019011748 Henry Cohn, 2025.
Minimal polynomial listed in plain text data
21 60 0.074662292991 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
21 61 0.076923073145 Henry Cohn, 2025, needs more optimization.
21 62 0.076923075369 Henry Cohn, 2025, needs more optimization.
21 63 0.078689325834 Henry Cohn, 2026.
9⁢x2+12⁢x−1
21 64 0.080216778694 Henry Cohn, 2026.
14481⁢x4−18000⁢x3+4848⁢x2−480⁢x+16
21 65 0.081966195796 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
21 77* 0.083333333334 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114; H. Cohn, D. de Laat, and N. Leijenhorst, Optimality of spherical codes via exact semidefinite programming bounds, preprint, 2024, arXiv:2403.16874.
12⁢x−1
21 78 0.089655172414 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
145⁢x−13
21 82 0.093297851017 Henry Cohn, 2026.
144⁢x4−840⁢x3+192⁢x2−1
21 83 0.095419617997 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
21 84 0.096073235105 Henry Cohn, 2026.
196416⁢x5−20976⁢x4−1408⁢x3+88⁢x2−4⁢x+1
21 85 0.097701632396 Henry Cohn, 2026, needs more optimization.
21 87 0.103204295473 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
168⁢x3−156⁢x2+24⁢x−1
21 88 0.106199014100 Henry Cohn, 2026.
2135⁢x3+1782⁢x2−25⁢x−20
21 89 0.107226089904 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
21 90 0.108104321417 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
21 92 0.109918568058 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
21 93 0.110695455304 Henry Cohn, 2026, needs more optimization.
21 112* 0.111111111112 P. Delsarte, J. M. Goethals, and J. J. Seidel, Spherical codes and designs, Geometriae Dedicata 6 (1977), 363–388, doi:10.1007/bf03187604; V. I. Levenšteĭn, On bounds for packings in n-dimensional Euclidean space (Russian), Dokl. Akad. Nauk SSSR 245 (1979), 1299–1303, English translation in Soviet Math. Dokl. 20 (1979), 417–421.
9⁢x−1
21 113 0.127363959709 Henry Cohn, 2026.
6125⁢x4−672⁢x3−322⁢x2+5
21 119 0.131782945737 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
129⁢x−17
21 120 0.139344264001 Henry Cohn, 2026, needs more optimization.
21 121 0.139344264217 Henry Cohn, 2026, needs more optimization.
21 122 0.139344266923 Henry Cohn, 2026, needs more optimization.
21 123 0.139383380431 Henry Cohn, 2026, needs more optimization.
21 124 0.140535672706 Henry Cohn, 2026, needs more optimization.
21 162* 0.142857142858 P. Delsarte, J. M. Goethals, and J. J. Seidel, Spherical codes and designs, Geometriae Dedicata 6 (1977), 363–388, doi:10.1007/bf03187604; V. I. Levenšteĭn, On bounds for packings in n-dimensional Euclidean space (Russian), Dokl. Akad. Nauk SSSR 245 (1979), 1299–1303, English translation in Soviet Math. Dokl. 20 (1979), 417–421.
7⁢x−1
21 163 0.153926281042 Henry Cohn, 2026.
576⁢x4−90⁢x3−42⁢x2+1
21 164 0.160000013634 Henry Cohn, 2026, needs more optimization.
21 165 0.160002054225 Henry Cohn, 2026, needs more optimization.
21 166 0.160159893660 Henry Cohn, 2026, needs more optimization.
21 198 0.161904761905 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
105⁢x−17
21 199 0.172187000249 Henry Cohn, 2026.
24649⁢x4−4608⁢x3−2096⁢x2+64
21 210 0.173428756326 Henry Cohn, 2026.
7695⁢x4+15012⁢x3+4122⁢x2−924⁢x−49
21 217 0.174875298960 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
119⁢x4+580⁢x3+42⁢x2−20⁢x−1
21 218 0.177286451700 Henry Cohn, 2026, needs more optimization.
21 219 0.177401556340 Henry Cohn, 2026, needs more optimization.
21 220 0.177459576194 Henry Cohn, 2026, needs more optimization.
21 221 0.177479930114 Henry Cohn, 2026, needs more optimization.
21 224 0.177492046263 Henry Cohn, 2026, needs more optimization.
21 225 0.178085751307 Henry Cohn, 2026, needs more optimization.
21 226 0.185484136393 Henry Cohn, 2026.
21 227 0.190597978112 Henry Cohn, 2026, needs more optimization.
21 233 0.192307692308 Code with 231 points in 20 dimensions, together with two antipodal points orthogonal to it; T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
26⁢x−5
21 235 0.192307692308 Henry Cohn, 2026.
26⁢x−5
21 236 0.194537707740 Henry Cohn, 2026, needs more optimization.
21 237 0.195328763434 Henry Cohn, 2026, needs more optimization.
21 336 0.2 E. Bannai and N. J. A. Sloane, Uniqueness of certain spherical codes, Canadian J. Math. 33 (1981), 437–449, doi:10.4153/CJM-1981-038-7.
5⁢x−1
21 352 0.214285714286 Henry Cohn, 2026.
14⁢x−3
21 353 0.222395820677 Henry Cohn, 2026.
144⁢x4−42⁢x3−18⁢x2+1
21 373 0.227586206897 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
145⁢x−33
21 388 0.227586206897 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
145⁢x−33
21 397 0.230769230770 Henry Cohn, 2026.
13⁢x−3
21 398 0.235336671606 Henry Cohn, 2026, needs more optimization.
21 554 0.238095238096 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
21⁢x−5
21 567 0.25 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
4⁢x−1
21 568 0.253536494886 Henry Cohn, 2026, needs more optimization.
21 569 0.254499250857 Henry Cohn, 2026, needs more optimization.
21 570 0.255064888996 Henry Cohn, 2026, needs more optimization.
21 571 0.255477284700 Henry Cohn, 2026, needs more optimization.
21 572 0.255805544204 Henry Cohn, 2026, needs more optimization.
21 573 0.256122274743 Henry Cohn, 2026, needs more optimization.
21 574 0.256383935513 Henry Cohn, 2026, needs more optimization.
21 575 0.256601169323 Henry Cohn, 2026, needs more optimization.
21 576 0.256818500535 Henry Cohn, 2026, needs more optimization.
21 577 0.257065131695 Henry Cohn, 2026, needs more optimization.
21 578 0.257277685514 Henry Cohn, 2026, needs more optimization.
21 579 0.257423053759 Henry Cohn, 2026, needs more optimization.
21 580 0.257574570548 Henry Cohn, 2026, needs more optimization.
21 581 0.257695090569 Henry Cohn, 2026, needs more optimization.
21 582 0.257814776721 Henry Cohn, 2026, needs more optimization.
21 583 0.257901493774 Henry Cohn, 2026, needs more optimization.
21 584 0.258015670208 Henry Cohn, 2026, needs more optimization.
21 585 0.258106836414 Henry Cohn, 2026, needs more optimization.
21 586 0.258234371052 Henry Cohn, 2026, needs more optimization.
21 587 0.258300377911 Henry Cohn, 2026, needs more optimization.
21 588 0.258372944615 Henry Cohn, 2026, needs more optimization.
21 589 0.258443901099 Henry Cohn, 2026, needs more optimization.
21 590 0.258598877492 Henry Cohn, 2026, needs more optimization.
21 591 0.258699041520 Henry Cohn, 2026, needs more optimization.
21 592 0.258733579358 Henry Cohn, 2026, needs more optimization.
21 593 0.258970475781 Henry Cohn, 2026, needs more optimization.
21 594 0.259204619357 Henry Cohn, 2026, needs more optimization.
21 595 0.259316077589 Henry Cohn, 2026, needs more optimization.
21 596 0.259390836494 Henry Cohn, 2026, needs more optimization.
21 597 0.259458419673 Henry Cohn, 2026, needs more optimization.
21 598 0.259597265153 Henry Cohn, 2026, needs more optimization.
21 599 0.259670814038 Henry Cohn, 2026, needs more optimization.
21 600 0.259736996582 Henry Cohn, 2026, needs more optimization.
21 601 0.259788362521 Henry Cohn, 2026, needs more optimization.
21 602 0.259827598385 Henry Cohn, 2026, needs more optimization.
21 603 0.259903547691 Henry Cohn, 2026, needs more optimization.
21 604 0.259937016680 Henry Cohn, 2026, needs more optimization.
21 605 0.260041518593 Henry Cohn, 2026, needs more optimization.
21 606 0.260130728049 Henry Cohn, 2026, needs more optimization.
21 607 0.260226381744 Henry Cohn, 2026, needs more optimization.
21 608 0.260272873752 Henry Cohn, 2026, needs more optimization.
21 609 0.260313787577 Henry Cohn, 2026, needs more optimization.
21 610 0.260493674181 Henry Cohn, 2026, needs more optimization.
21 611 0.260597897607 Henry Cohn, 2026, needs more optimization.
21 612 0.260661884603 Henry Cohn, 2026, needs more optimization.
21 613 0.260783567072 Henry Cohn, 2026, needs more optimization.
21 614 0.260874733062 Henry Cohn, 2026, needs more optimization.
21 615 0.260931924325 Henry Cohn, 2026, needs more optimization.
21 616 0.261024540505 Henry Cohn, 2026, needs more optimization.
21 617 0.261082036843 Henry Cohn, 2026, needs more optimization.
21 618 0.261158093755 Henry Cohn, 2026, needs more optimization.
21 619 0.261226647799 Henry Cohn, 2026, needs more optimization.
21 620 0.261266479209 Henry Cohn, 2026, needs more optimization.
21 621 0.261304895279 Henry Cohn, 2026, needs more optimization.
21 622 0.261344831401 Henry Cohn, 2026, needs more optimization.
21 623 0.261388961729 Henry Cohn, 2026, needs more optimization.
21 624 0.261423937952 Henry Cohn, 2026, needs more optimization.
21 625 0.261459557379 Henry Cohn, 2026, needs more optimization.
21 626 0.261499925389 Henry Cohn, 2026, needs more optimization.
21 627 0.261571989968 Henry Cohn, 2026, needs more optimization.
21 628 0.261627093651 Henry Cohn, 2026, needs more optimization.
21 629 0.261682608424 Henry Cohn, 2026, needs more optimization.
21 630 0.262074416773 Henry Cohn, 2026, needs more optimization.
21 631 0.262324768793 Henry Cohn, 2026, needs more optimization.
21 632 0.262391322486 Henry Cohn, 2026, needs more optimization.
21 633 0.262613943114 Henry Cohn, 2026, needs more optimization.
21 634 0.262684550281 Henry Cohn, 2026, needs more optimization.
21 635 0.262734884696 Henry Cohn, 2026, needs more optimization.
21 636 0.262885698298 Henry Cohn, 2026, needs more optimization.
21 637 0.263006179898 Henry Cohn, 2026, needs more optimization.
21 638 0.263137951299 Henry Cohn, 2026, needs more optimization.
21 639 0.263227154910 Henry Cohn, 2026, needs more optimization.
21 640 0.263327544852 Henry Cohn, 2026, needs more optimization.
21 641 0.263415266037 Henry Cohn, 2026, needs more optimization.
21 642 0.263576839617 Henry Cohn, 2026, needs more optimization.
21 643 0.263702461809 Henry Cohn, 2026, needs more optimization.
21 644 0.263824990552 Henry Cohn, 2026, needs more optimization.
21 645 0.263933496635 Henry Cohn, 2026, needs more optimization.
21 646 0.263971427241 Henry Cohn, 2026, needs more optimization.
21 647 0.264048012237 Henry Cohn, 2026, needs more optimization.
21 648 0.264123734385 Henry Cohn, 2026, needs more optimization.
21 649 0.264185346676 Henry Cohn, 2026, needs more optimization.
21 650 0.264291721257 Henry Cohn, 2026, needs more optimization.
21 651 0.264364705274 Henry Cohn, 2026, needs more optimization.
21 652 0.264436383019 Henry Cohn, 2026, needs more optimization.
21 653 0.264503958922 Henry Cohn, 2026, needs more optimization.
21 654 0.264557740182 Henry Cohn, 2026, needs more optimization.
21 655 0.264633936308 Henry Cohn, 2026, needs more optimization.
21 656 0.264732809471 Henry Cohn, 2026, needs more optimization.
21 657 0.264801546033 Henry Cohn, 2026, needs more optimization.
21 658 0.264893787799 Henry Cohn, 2026, needs more optimization.
21 659 0.264987723143 Henry Cohn, 2026, needs more optimization.
21 660 0.265122402164 Henry Cohn, 2026, needs more optimization.
21 661 0.265178182009 Henry Cohn, 2026, needs more optimization.
21 662 0.265230318932 Henry Cohn, 2026, needs more optimization.
21 663 0.265294808301 Henry Cohn, 2026, needs more optimization.
21 664 0.265373970898 Henry Cohn, 2026, needs more optimization.
21 665 0.265446033441 Henry Cohn, 2026, needs more optimization.
21 666 0.265519619804 Henry Cohn, 2026, needs more optimization.
21 667 0.265557373185 Henry Cohn, 2026, needs more optimization.
21 668 0.265602712145 Henry Cohn, 2026, needs more optimization.
21 669 0.265630783643 Henry Cohn, 2026, needs more optimization.
21 670 0.265666523393 Henry Cohn, 2026, needs more optimization.
21 671 0.265729896749 Henry Cohn, 2026, needs more optimization.
21 672 0.265768260793 Henry Cohn, 2026, needs more optimization.
21 673 0.265851479598 Henry Cohn, 2026, needs more optimization.
21 674 0.265900185806 Henry Cohn, 2026, needs more optimization.
21 675 0.265958469599 Henry Cohn, 2026, needs more optimization.
21 676 0.266025711977 Henry Cohn, 2026, needs more optimization.
21 677 0.266078401887 Henry Cohn, 2026, needs more optimization.
21 678 0.266134804232 Henry Cohn, 2026, needs more optimization.
21 679 0.266165727230 Henry Cohn, 2026, needs more optimization.
21 680 0.266222534062 Henry Cohn, 2026, needs more optimization.
21 681 0.266278294748 Henry Cohn, 2026, needs more optimization.
21 682 0.266341766156 Henry Cohn, 2026, needs more optimization.
21 683 0.266503145348 Henry Cohn, 2026, needs more optimization.
21 684 0.266585285784 Henry Cohn, 2026, needs more optimization.
21 715 0.266666666667 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
15⁢x−4
21 728 0.267171850610 Henry Cohn, 2026.
21 729 0.267261241913 Henry Cohn, 2026.
14⁢x2−1
21 730 0.277219648097 Henry Cohn, 2026, needs more optimization.
21 731 0.282339589507 Henry Cohn, 2026, needs more optimization.
21 732 0.284690498088 Henry Cohn, 2026, needs more optimization.
21 850 0.285714285715 Henry Cohn, 2026.
7⁢x−2
21 851 0.290297025840 Henry Cohn, 2026, needs more optimization.
21 852 0.291094893025 Henry Cohn, 2026, needs more optimization.
21 853 0.291722388514 Henry Cohn, 2026, needs more optimization.
21 854 0.292104559801 Henry Cohn, 2026, needs more optimization.
21 855 0.292429821196 Henry Cohn, 2026, needs more optimization.
21 856 0.292762588812 Henry Cohn, 2026, needs more optimization.
21 857 0.293056607458 Henry Cohn, 2026, needs more optimization.
21 858 0.293321667431 Henry Cohn, 2026, needs more optimization.
21 859 0.293634136878 Henry Cohn, 2026, needs more optimization.
21 974 0.294117647059 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
17⁢x−5
21 975 0.299221123909 Henry Cohn, 2026, needs more optimization.
21 1024 0.3 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
10⁢x−3
22 45 0.035618974680 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
8800⁢x3−484⁢x2−22⁢x+1
22 46 0.041709010468 Henry Cohn, 2026.
22 47 0.046962270332 Henry Cohn, 2026, continuous family of codes without rattlers.
736⁢x3+236⁢x2−34⁢x+1
22 48 0.047524915294 Henry Cohn, 2025, continuous family of codes without rattlers.
64⁢x2+18⁢x−1
22 49 0.047603596723 Henry Cohn, 2026, continuous family of codes without rattlers.
3021824⁢x6+71680⁢x5−194624⁢x4+31816⁢x3−2252⁢x2+76⁢x−1
22 50 0.047616424529 Henry Cohn, 2026, needs more optimization.
22 51 0.047618599670 Henry Cohn, 2026, needs more optimization.
22 52 0.047619045985 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
22 53 0.057403269990 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
22 54 0.060108520250 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
22 55 0.062592707017 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
22 56 0.062633806388 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
22 57 0.066559109857 Henry Cohn, 2026.
22 58 0.066624214466 Henry Cohn, 2026, needs more optimization.
22 59 0.066650782089 Henry Cohn, 2026, needs more optimization.
22 60 0.066659847970 Henry Cohn, 2026, needs more optimization.
22 61 0.069638781739 Henry Cohn, 2026.
22 62 0.071702992424 Henry Cohn, 2026.
140⁢x3+45⁢x2+10⁢x−1
22 63 0.076901515044 Henry Cohn, 2026, needs more optimization.
22 64 0.076914997582 Henry Cohn, 2026, needs more optimization.
22 65 0.076923314447 Henry Cohn, 2026, needs more optimization.
22 66 0.078232998313 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988, continuous family of codes without rattlers.
10⁢x2+12⁢x−1
22 67 0.079295575063 Henry Cohn, 2026, needs more optimization.
22 68 0.080927905651 Henry Cohn, 2026.
22 69 0.082211649807 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
22 70 0.082987101128 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
22 71 0.083331298889 Henry Cohn, 2026, needs more optimization.
22 72 0.083332905177 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
22 73 0.083333206111 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
22 74 0.083333297185 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
22 79 0.083333333334 Code with 77 points in 21 dimensions, together with two antipodal points orthogonal to it; T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
12⁢x−1
22 80 0.086876541301 Henry Cohn, 2026.
550⁢x3−410⁢x2+66⁢x−3
22 100* 0.090909090910 P. Delsarte, J. M. Goethals, and J. J. Seidel, Spherical codes and designs, Geometriae Dedicata 6 (1977), 363–388, doi:10.1007/bf03187604; V. I. Levenšteĭn, On bounds for packings in n-dimensional Euclidean space (Russian), Dokl. Akad. Nauk SSSR 245 (1979), 1299–1303, English translation in Soviet Math. Dokl. 20 (1979), 417–421.
11⁢x−1
22 101 0.109433688331 Henry Cohn, 2026.
6912⁢x4−560⁢x3−272⁢x2+3
22 102 0.111104168854 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
22 103 0.111108853968 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
22 104 0.111109248339 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
22 105 0.111109826504 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
22 106 0.111110854772 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
22 114 0.111111111112 Code with 112 points in 21 dimensions, together with two antipodal points orthogonal to it; T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
9⁢x−1
22 115 0.112789665003 Henry Cohn, 2026.
68⁢x2−52⁢x+5
22 116 0.117359909647 Henry Cohn, 2026.
30⁢x2+5⁢x−1
22 117 0.122747047636 Henry Cohn, 2026, needs more optimization.
22 118 0.126131983623 Kevin Li, 2026.
47⁢x2+2⁢x−1
22 119 0.126740173094 Henry Cohn, 2026, needs more optimization.
22 120 0.131231549706 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
22 127 0.131782945737 Henry Cohn, 2026.
129⁢x−17
22 136 0.135135135136 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
37⁢x−5
22 141 0.135135135136 Henry Cohn, 2026.
37⁢x−5
22 142 0.135516870227 Henry Cohn, 2026, needs more optimization.
22 143 0.137877531584 Azmi C. Özgen, 2026.
22 144 0.139612236038 Azmi C. Özgen, 2026.
22 166 0.142857142858 Henry Cohn, 2026.
7⁢x−1
22 167 0.144948974279 Henry Cohn, 2026.
20⁢x2+4⁢x−1
22 169 0.149071198500 Henry Cohn, 2026.
45⁢x2−1
22 170 0.153808582906 Henry Cohn, 2026.
3193200⁢x4−2981880⁢x3+586608⁢x2+63888⁢x−14641
22 171 0.156572050095 Henry Cohn, 2026.
22 172 0.158260507796 Azmi C. Özgen, 2026.
22 173 0.159107132818 Henry Cohn, 2026, needs more optimization.
22 174 0.161495577476 Henry Cohn, 2026, needs more optimization.
22 202 0.161904761905 Henry Cohn, 2026.
105⁢x−17
22 203 0.165614929411 Henry Cohn, 2026, needs more optimization.
22 275* 0.166666666667 P. Delsarte, J. M. Goethals, and J. J. Seidel, Spherical codes and designs, Geometriae Dedicata 6 (1977), 363–388, doi:10.1007/bf03187604; V. I. Levenšteĭn, On bounds for packings in n-dimensional Euclidean space (Russian), Dokl. Akad. Nauk SSSR 245 (1979), 1299–1303, English translation in Soviet Math. Dokl. 20 (1979), 417–421.
6⁢x−1
22 276 0.178506323194 Henry Cohn, 2026.
22 277 0.185913606056 Henry Cohn, 2026, needs more optimization.
22 278 0.189278821912 Azmi C. Özgen, 2026.
22 279 0.191548734977 Azmi C. Özgen, 2026.
22 280 0.193231566176 Azmi C. Özgen, 2026.
22 281 0.194502382039 Azmi C. Özgen, 2026.
22 282 0.195683008514 Azmi C. Özgen, 2026.
22 283 0.196310423268 Azmi C. Özgen, 2026.
22 285 0.196327532186 Henry Cohn, 2026, needs more optimization.
22 286 0.196362023435 Henry Cohn, 2026, needs more optimization.
22 287 0.199227355721 Azmi C. Özgen, 2026.
22 352 0.2 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
5⁢x−1
22 353 0.201777989817 Henry Cohn, 2026.
1308736⁢x4−332640⁢x3−147312⁢x2+6561
22 354 0.202832443486 Vadim Borisov, 2026, https://numaro.tech/.
22 355 0.203727072271 Henry Cohn, 2026, needs more optimization.
22 356 0.204034193404 Henry Cohn, 2026, needs more optimization.
22 357 0.204058215698 Henry Cohn, 2026, needs more optimization.
22 358 0.204059171273 Henry Cohn, 2026, needs more optimization.
22 359 0.204488589692 Henry Cohn, 2026, needs more optimization.
22 374 0.204624019941 Henry Cohn, 2026.
911296⁢x4−2815904⁢x3−1346592⁢x2+246064⁢x+28561
22 375 0.205717063314 Henry Cohn, 2026, needs more optimization.
22 376 0.206395574291 Henry Cohn, 2026, needs more optimization.
22 377 0.206695223554 Henry Cohn, 2026, needs more optimization.
22 378 0.206882235842 Azmi C. Özgen, 2026.
22 379 0.207056804630 Azmi C. Özgen, 2026.
22 380 0.207117539031 Azmi C. Özgen, 2026.
22 381 0.207163540721 Azmi C. Özgen, 2026.
22 382 0.207169388398 Azmi C. Özgen, 2026.
22 383 0.207170048263 Azmi C. Özgen, 2026.
22 384 0.207170429419 Azmi C. Özgen, 2026.
22 385 0.207171089278 Henry Cohn, 2026, needs more optimization.
22 386 0.207171215098 Henry Cohn, 2026, needs more optimization.
22 387 0.207171374412 Henry Cohn, 2026, needs more optimization.
22 388 0.207171464370 Henry Cohn, 2026, needs more optimization.
22 389 0.207172056685 Henry Cohn, 2026, needs more optimization.
22 390 0.207173419651 Henry Cohn, 2026, needs more optimization.
22 391 0.208463130111 Henry Cohn, 2026, needs more optimization.
22 392 0.208815120958 Henry Cohn, 2026, needs more optimization.
22 393 0.209018835404 Henry Cohn, 2026, needs more optimization.
22 394 0.209049427035 Azmi C. Özgen, 2026.
22 395 0.209290942770 Azmi C. Özgen, 2026.
22 396 0.209386050437 Azmi C. Özgen, 2026.
22 397 0.209559634595 Azmi C. Özgen, 2026.
22 398 0.209586112568 Azmi C. Özgen, 2026.
22 399 0.209590198998 Henry Cohn, 2026, needs more optimization.
22 400 0.209591756073 Azmi C. Özgen, 2026.
22 401 0.209592750652 Azmi C. Özgen, 2026.
22 402 0.209593376529 Azmi C. Özgen, 2026.
22 403 0.209595513037 Azmi C. Özgen, 2026.
22 404 0.209666940791 Azmi C. Özgen, 2026.
22 405 0.209705056029 Azmi C. Özgen, 2026.
22 415 0.209711433874 Henry Cohn, 2026, needs more optimization.
22 416 0.209814363187 Azmi C. Özgen, 2026.
22 430 0.209817069797 Henry Cohn, 2026.
25856⁢x4+20288⁢x3+1056⁢x2−1120⁢x−49
22 431 0.210993089892 Henry Cohn, 2026, needs more optimization.
22 432 0.211661635419 Henry Cohn, 2026, needs more optimization.
22 433 0.212032718914 Henry Cohn, 2026, needs more optimization.
22 436 0.212148697334 Henry Cohn, 2026, needs more optimization.
22 437 0.212406676955 Henry Cohn, 2026, needs more optimization.
22 438 0.212505211597 Henry Cohn, 2026, needs more optimization.
22 442 0.212505214492 Henry Cohn, 2026, needs more optimization.
22 451 0.212653226480 Henry Cohn, 2026.
22 452 0.213200716356 Henry Cohn, 2026.
22⁢x2−1
22 487 0.225192823176 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
22 488 0.227085433996 Henry Cohn, 2026, needs more optimization.
22 489 0.229551246103 Azmi C. Özgen, 2026.
22 505 0.229926564594 Henry Cohn, 2026, needs more optimization.
22 506 0.231137104549 Henry Cohn, 2026, needs more optimization.
22 529 0.233333333334 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
30⁢x−7
22 561 0.238095238096 Henry Cohn, 2026.
21⁢x−5
22 562 0.238151335257 Azmi C. Özgen, 2026.
22 563 0.239821018015 Azmi C. Özgen, 2026.
22 564 0.244085542995 Azmi C. Özgen, 2026.
22 565 0.245870701990 Azmi C. Özgen, 2026.
22 566 0.248009415860 Henry Cohn, 2026, needs more optimization.
22 891* 0.25 P. Delsarte, J. M. Goethals, and J. J. Seidel, Spherical codes and designs, Geometriae Dedicata 6 (1977), 363–388, doi:10.1007/bf03187604; V. I. Levenšteĭn, On bounds for packings in n-dimensional Euclidean space (Russian), Dokl. Akad. Nauk SSSR 245 (1979), 1299–1303, English translation in Soviet Math. Dokl. 20 (1979), 417–421.
4⁢x−1
22 1024 0.272727272728 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
11⁢x−3
23 47 0.034216857253 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
10143⁢x3−529⁢x2−23⁢x+1
23 48 0.040044232989 Henry Cohn, 2026, needs more optimization.
23 49 0.045954913455 Henry Cohn, 2026.
23 50 0.046749604258 Henry Cohn, 2025, continuous family of codes without rattlers.
713⁢x3+215⁢x2−33⁢x+1
23 51 0.047263378257 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 52 0.047439726151 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 53 0.047577267456 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 54 0.047608618840 Henry Cohn, 2026, needs more optimization.
23 55 0.054740716520 Henry Cohn, 2026, needs more optimization.
23 56 0.057275984127 Henry Cohn, 2025.
Minimal polynomial listed in plain text data
23 57 0.059898620221 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 58 0.061144993092 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 59 0.065898054218 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 60 0.066270318328 Henry Cohn, 2026, needs more optimization.
23 61 0.066448344541 Henry Cohn, 2026, needs more optimization.
23 62 0.066551990648 Henry Cohn, 2026, needs more optimization.
23 63 0.067249405088 Henry Cohn, 2026.
23 64 0.069716146261 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
23 65 0.073130743225 Henry Cohn, 2026.
23 66 0.075359392649 Henry Cohn, 2026.
23 67 0.076786919884 Henry Cohn, 2026, needs more optimization.
23 68 0.076891127592 Henry Cohn, 2026, needs more optimization.
23 69 0.077601989740 Henry Cohn, 2026, needs more optimization.
23 70 0.077976083355 Henry Cohn, 2026, needs more optimization.
23 71 0.079522620309 Henry Cohn, 2026.
23 72 0.080064660878 Henry Cohn, 2026.
23 73 0.081988022906 Henry Cohn, 2026, needs more optimization.
23 74 0.082971963238 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 75 0.083232614730 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 76 0.083312231142 Henry Cohn, 2026, needs more optimization.
23 77 0.083322942411 Henry Cohn, 2026, needs more optimization.
23 78 0.083329842739 Henry Cohn, 2026, needs more optimization.
23 79 0.083331899393 Henry Cohn, 2026, needs more optimization.
23 80 0.083332658564 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 81 0.083333004281 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 82 0.083354230263 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 83 0.087155118594 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 84 0.089247322022 Henry Cohn, 2026, needs more optimization.
23 85 0.090372025454 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 86 0.090635971456 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 87 0.090845809648 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 88 0.090901792441 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 89 0.090909081910 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 90 0.090909090101 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 102 0.090909090910 Code with 100 points in 22 dimensions, together with two antipodal points orthogonal to it; T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
11⁢x−1
23 103 0.094789393423 Henry Cohn, 2026.
67⁢x2−38⁢x+3
23 104 0.102473100453 Henry Cohn, 2026.
76221641⁢x6−70238210⁢x5+26263911⁢x4−5120604⁢x3+551799⁢x2−31266⁢x+729
23 106 0.109392443214 Henry Cohn, 2026.
2175⁢x2+210⁢x−49
23 107 0.110892215957 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 108 0.110906204507 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 109 0.111023639992 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 110 0.111027924571 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 114 0.111049273320 Robert Dallara, 2026.
23 115 0.111111109626 Henry Cohn, 2026, needs more optimization.
23 116 0.111111109675 Henry Cohn, 2026, needs more optimization.
23 118 0.111111111112 Kevin Li, 2026.
9⁢x−1
23 119 0.115901764548 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 120 0.119778034276 Azmi C. Özgen, 2026.
23 121 0.124434358311 Henry Cohn, 2026, needs more optimization.
23 122 0.124520972302 Henry Cohn, 2026, needs more optimization.
23 123 0.128566662565 Azmi C. Özgen, 2026.
23 124 0.130805653308 Azmi C. Özgen, 2026.
23 130 0.131782945737 Henry Cohn, 2026.
129⁢x−17
23 131 0.132061757009 Henry Cohn, 2026, needs more optimization.
23 132 0.133669476357 Robert Dallara, 2026.
23 133 0.134649704050 Azmi C. Özgen, 2026.
23 134 0.134995532627 Henry Cohn, 2026, needs more optimization.
23 135 0.135102350310 Henry Cohn, 2026, needs more optimization.
23 136 0.135127644965 Henry Cohn, 2026, needs more optimization.
23 137 0.135133106928 Henry Cohn, 2026, needs more optimization.
23 147 0.135135135136 Henry Cohn, 2026.
37⁢x−5
23 148 0.135243512040 Azmi C. Özgen, 2026.
23 149 0.136341940561 Robert Dallara, 2026.
23 150 0.136642322829 Henry Cohn, 2026, needs more optimization.
23 151 0.137546592954 Azmi C. Özgen, 2026.
23 152 0.138673551832 Henry Cohn, 2026, needs more optimization.
23 170 0.142857142858 Kevin Li, 2026.
7⁢x−1
23 171 0.145096799402 Henry Cohn, 2026, needs more optimization.
23 172 0.145326894302 Azmi C. Özgen, 2026.
23 173 0.145383795921 Henry Cohn, 2026, needs more optimization.
23 174 0.146718974350 Henry Cohn, 2026, needs more optimization.
23 175 0.147421141363 Henry Cohn, 2026, needs more optimization.
23 176 0.152510930969 Azmi C. Özgen, 2026.
23 177 0.152897749824 Azmi C. Özgen, 2026.
23 178 0.153821163472 Azmi C. Özgen, 2026.
23 179 0.154398963642 Azmi C. Özgen, 2026.
23 180 0.157012296229 Azmi C. Özgen, 2026.
23 181 0.158067978366 Azmi C. Özgen, 2026.
23 182 0.159230250521 Azmi C. Özgen, 2026.
23 183 0.160596184834 Azmi C. Özgen, 2026.
23 184 0.161243740344 Henry Cohn, 2026, needs more optimization.
23 208 0.161904761905 Kevin Li, 2026.
105⁢x−17
23 209 0.164060447256 Henry Cohn, 2026, needs more optimization.
23 210 0.164892821858 Azmi C. Özgen, 2026.
23 211 0.165233821641 Azmi C. Özgen, 2026.
23 212 0.165945390854 Henry Cohn, 2026, needs more optimization.
23 213 0.166450195055 Henry Cohn, 2026, needs more optimization.
23 214 0.166577031537 Henry Cohn, 2026, needs more optimization.
23 215 0.166641300572 Henry Cohn, 2026, needs more optimization.
23 278 0.166666666667 Henry Cohn, 2026.
6⁢x−1
23 279 0.168164328621 Henry Cohn, 2026, needs more optimization.
23 281 0.169520847199 Kevin Li, 2026.
23⁢x2+2⁢x−1
23 282 0.176232422077 Azmi C. Özgen, 2026.
23 283 0.181074949523 Azmi C. Özgen, 2026.
23 284 0.184226731358 Azmi C. Özgen, 2026.
23 285 0.186028074491 Henry Cohn, 2026, needs more optimization.
23 286 0.187579576008 Azmi C. Özgen, 2026.
23 287 0.188048088328 Azmi C. Özgen, 2026.
23 288 0.188279870113 Azmi C. Özgen, 2026.
23 289 0.189126832427 Azmi C. Özgen, 2026.
23 290 0.189336801112 Azmi C. Özgen, 2026.
23 292 0.189437876687 Henry Cohn, 2026.
171⁢x2−6⁢x−5
23 293 0.189616577064 Azmi C. Özgen, 2026.
23 294 0.189647523406 Azmi C. Özgen, 2026.
23 295 0.189655256607 Azmi C. Özgen, 2026.
23 296 0.189655986322 Henry Cohn, 2026, needs more optimization.
23 297 0.189656099022 Henry Cohn, 2026, needs more optimization.
23 298 0.189656099977 Henry Cohn, 2026, needs more optimization.
23 299 0.189656100047 Henry Cohn, 2026, needs more optimization.
23 300 0.189656159143 Azmi C. Özgen, 2026.
23 301 0.190658492405 Henry Cohn, 2026, needs more optimization.
23 302 0.193041714029 Azmi C. Özgen, 2026.
23 303 0.194173415852 Azmi C. Özgen, 2026.
23 304 0.195081459092 Azmi C. Özgen, 2026.
23 305 0.195744314538 Azmi C. Özgen, 2026.
23 306 0.196406854945 Azmi C. Özgen, 2026.
23 307 0.196828785388 Azmi C. Özgen, 2026.
23 308 0.197470532558 Azmi C. Özgen, 2026.
23 309 0.197842294989 Azmi C. Özgen, 2026.
23 310 0.198313822167 Azmi C. Özgen, 2026.
23 311 0.198638594186 Azmi C. Özgen, 2026.
23 312 0.198919744213 Azmi C. Özgen, 2026.
23 313 0.199227034492 Azmi C. Özgen, 2026.
23 314 0.199725853981 Henry Cohn, 2026, needs more optimization.
23 552* 0.2 P. Delsarte, J. M. Goethals, and J. J. Seidel, Spherical codes and designs, Geometriae Dedicata 6 (1977), 363–388, doi:10.1007/bf03187604; V. I. Levenšteĭn, On bounds for packings in n-dimensional Euclidean space (Russian), Dokl. Akad. Nauk SSSR 245 (1979), 1299–1303, English translation in Soviet Math. Dokl. 20 (1979), 417–421.
5⁢x−1
23 553 0.232851959963 Henry Cohn, 2026.
11025⁢x4−7040⁢x3−3680⁢x2+256
23 554 0.235338470310 Henry Cohn, 2026, needs more optimization.
23 573 0.238095238096 Henry Cohn, 2026.
21⁢x−5
23 574 0.239674203059 Azmi C. Özgen, 2026.
23 575 0.240867926950 Azmi C. Özgen, 2026.
23 576 0.241180950335 Azmi C. Özgen, 2026.
23 577 0.241244761105 Azmi C. Özgen, 2026.
23 578 0.242196326837 Azmi C. Özgen, 2026.
23 579 0.242423267563 Azmi C. Özgen, 2026.
23 580 0.242528916412 Azmi C. Özgen, 2026.
23 581 0.242803603859 Azmi C. Özgen, 2026.
23 582 0.242872442040 Azmi C. Özgen, 2026.
23 583 0.244027983648 Azmi C. Özgen, 2026.
23 584 0.244158115373 Azmi C. Özgen, 2026.
23 585 0.244801747846 Azmi C. Özgen, 2026.
23 586 0.245367112621 Azmi C. Özgen, 2026.
23 587 0.245530896490 Azmi C. Özgen, 2026.
23 588 0.245902335053 Azmi C. Özgen, 2026.
23 589 0.246052567059 Azmi C. Özgen, 2026.
23 590 0.246102625533 Azmi C. Özgen, 2026.
23 591 0.246392626760 Azmi C. Özgen, 2026.
23 592 0.246416647593 Azmi C. Özgen, 2026.
23 593 0.246950051620 Azmi C. Özgen, 2026.
23 594 0.247144384832 Azmi C. Özgen, 2026.
23 595 0.247214788346 Azmi C. Özgen, 2026.
23 596 0.247437478574 Azmi C. Özgen, 2026.
23 597 0.247929449397 Azmi C. Özgen, 2026.
23 598 0.248421783686 Azmi C. Özgen, 2026.
23 599 0.248658464878 Azmi C. Özgen, 2026.
23 600 0.248875322703 Azmi C. Özgen, 2026.
23 601 0.249056658320 Azmi C. Özgen, 2026.
23 602 0.249258075156 Azmi C. Özgen, 2026.
23 603 0.249445000885 Azmi C. Özgen, 2026.
23 604 0.249592400286 Azmi C. Özgen, 2026.
23 605 0.249658995442 Azmi C. Özgen, 2026.
23 894 0.25 Henry Cohn, 2026.
4⁢x−1
23 897 0.25 Kevin Li, 2026.
4⁢x−1
23 898 0.251976315340 Henry Cohn, 2026.
63⁢x2−4
23 899 0.251976315340 Azmi C. Özgen, 2026.
63⁢x2−4
23 900 0.252103546588 Azmi C. Özgen, 2026.
23 917 0.256477368938 Kevin Li, 2026.
23⁢x2−2⁢x−1
23 918 0.262975083042 Azmi C. Özgen, 2026.
23 919 0.264568404137 Azmi C. Özgen, 2026.
23 920 0.266020556676 Azmi C. Özgen, 2026.
23 921 0.267565602921 Henry Cohn, 2026, needs more optimization.
23 949 0.269672331459 Kevin Li, 2026.
36⁢x2−6⁢x−1
23 1024 0.272727272728 Code with 1024 points in 22 dimensions.
11⁢x−3
23 4600* 0.333333333334 P. Delsarte, J. M. Goethals, and J. J. Seidel, Spherical codes and designs, Geometriae Dedicata 6 (1977), 363–388, doi:10.1007/bf03187604; V. I. Levenšteĭn, On bounds for packings in n-dimensional Euclidean space (Russian), Dokl. Akad. Nauk SSSR 245 (1979), 1299–1303, English translation in Soviet Math. Dokl. 20 (1979), 417–421.
3⁢x−1
24 49 0.032924519945 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
11616⁢x3−576⁢x2−24⁢x+1
24 50 0.038461538462 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
26⁢x−1
24 52 0.045454545455 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
22⁢x−1
24 53 0.046514918044 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
Minimal polynomial listed in plain text data
24 54 0.046847786762 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 55 0.047164753839 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 56 0.047426030409 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 57 0.052950643062 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 58 0.054352485457 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 59 0.057903810057 Henry Cohn, 2026.
24 60 0.059948549845 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 61 0.064086783842 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 62 0.065007694967 Pavlos Moros, 2026.
24 63 0.065487437635 Pavlos Moros, 2026.
24 64 0.065890670030 Pavlos Moros, 2026.
24 65 0.066579290687 Pavlos Moros, 2026.
24 66 0.068177559057 Henry Cohn, 2026, needs more optimization.
24 67 0.070762396841 Henry Cohn, 2026.
24 68 0.072116568734 Henry Cohn, 2026.
24 69 0.073247042433 Henry Cohn, 2026.
24 70 0.076518945880 Pavlos Moros, 2026.
24 71 0.076916261172 Henry Cohn, 2026, needs more optimization.
24 72 0.077184615255 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 73 0.077724158890 Pavlos Moros, 2026.
24 74 0.077908661683 Henry Cohn, 2026.
24 75 0.078506895605 Henry Cohn, 2026.
24 76 0.078850061998 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
24 77 0.079856913718 Henry Cohn, 2026, needs more optimization.
24 78 0.081484170718 Azmi C. Özgen, 2026.
24 79 0.083101611964 Pavlos Moros, 2026.
24 80 0.083184602047 Pavlos Moros, 2026.
24 81 0.083186497878 Pavlos Moros, 2026.
24 82 0.083237917964 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 83 0.083238079747 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 84 0.083310116889 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 85 0.083323327763 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 86 0.086097832697 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 87 0.088106043794 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 88 0.089206516628 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 89 0.090039710856 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 90 0.090273268230 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 91 0.090577857062 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 92 0.090765987314 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 93 0.090813719840 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 94 0.090883656527 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 95 0.090891198506 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 96 0.090899639946 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 97 0.090908237174 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 98 0.090908329446 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 99 0.090908571706 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 100 0.090908831235 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 101 0.090909045701 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 102 0.090909063963 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 103 0.090909064328 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 104 0.090909084676 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 105 0.091455993710 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 106 0.095232453047 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 107 0.100951682978 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 108 0.105528967523 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 109 0.110473427027 Henry Cohn, 2026, needs more optimization.
24 110 0.110474298909 Pavlos Moros, 2026.
24 111 0.110634495898 Pavlos Moros, 2026.
24 112 0.110645210817 Henry Cohn, 2026, needs more optimization.
24 113 0.110669249794 Pavlos Moros, 2026.
24 114 0.110669749299 Pavlos Moros, 2026.
24 115 0.110788938427 Azmi C. Özgen, 2026.
24 116 0.110956195164 Pavlos Moros, 2026.
24 118 0.111099565428 Henry Cohn, 2025, needs more optimization.
24 121 0.111111111112 Henry Cohn, 2026.
9⁢x−1
24 122 0.112090949539 Pavlos Moros, 2026.
24 123 0.116163192423 Henry Cohn, 2026, needs more optimization.
24 124 0.117891409284 Pavlos Moros, 2026.
24 125 0.122807017544 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
57⁢x−7
24 126 0.127912575044 Pavlos Moros, 2026.
24 127 0.129360906527 Azmi C. Özgen, 2026.
24 128 0.131474374523 Azmi C. Özgen, 2026.
24 129 0.131575930606 Azmi C. Özgen, 2026.
24 130 0.131591568568 Azmi C. Özgen, 2026.
24 131 0.131626591799 Pavlos Moros, 2026.
24 132 0.131773832469 Pavlos Moros, 2026.
24 133 0.131777975893 Pavlos Moros, 2026.
24 134 0.131779461228 Azmi C. Özgen, 2026.
24 135 0.131925923701 Azmi C. Özgen, 2026.
24 136 0.132188937481 Pavlos Moros, 2026.
24 137 0.132479631459 Pavlos Moros, 2026.
24 138 0.133244244230 Pavlos Moros, 2026.
24 139 0.134127914217 Azmi C. Özgen, 2026.
24 140 0.134373136526 Azmi C. Özgen, 2026.
24 141 0.134514247293 Pavlos Moros, 2026.
24 142 0.134520264311 Pavlos Moros, 2026.
24 143 0.134808836694 Azmi C. Özgen, 2026.
24 144 0.134945812597 Azmi C. Özgen, 2026.
24 145 0.134985702292 Pavlos Moros, 2026.
24 146 0.135079616284 Pavlos Moros, 2026.
24 147 0.135098897575 Pavlos Moros, 2026.
24 148 0.135109133972 Pavlos Moros, 2026.
24 149 0.135124524544 Pavlos Moros, 2026.
24 150 0.135128975201 Pavlos Moros, 2026.
24 151 0.135131247865 Pavlos Moros, 2026.
24 152 0.135135135136 Henry Cohn, 2026.
37⁢x−5
24 154 0.135854426726 Henry Cohn, 2026, needs more optimization.
24 155 0.136174662682 Henry Cohn, 2026, needs more optimization.
24 156 0.137040776902 Azmi C. Özgen, 2026.
24 157 0.140964714895 Azmi C. Özgen, 2026.
24 158 0.142856614233 Henry Cohn, 2026, needs more optimization.
24 159 0.142856639723 Henry Cohn, 2026, needs more optimization.
24 160 0.142856670344 Henry Cohn, 2026, needs more optimization.
24 161 0.142856809411 Henry Cohn, 2026, needs more optimization.
24 162 0.142856838775 Henry Cohn, 2026, needs more optimization.
24 163 0.142856844803 Henry Cohn, 2026, needs more optimization.
24 164 0.142856864443 Henry Cohn, 2026, needs more optimization.
24 165 0.142856908869 Henry Cohn, 2026, needs more optimization.
24 166 0.142856962487 Henry Cohn, 2026, needs more optimization.
24 167 0.142856998984 Henry Cohn, 2026, needs more optimization.
24 168 0.142857007002 Henry Cohn, 2026, needs more optimization.
24 169 0.142857059233 Henry Cohn, 2026, needs more optimization.
24 170 0.142857082111 Henry Cohn, 2026, needs more optimization.
24 171 0.142857105383 Henry Cohn, 2026, needs more optimization.
24 172 0.142857120283 Henry Cohn, 2026, needs more optimization.
24 174 0.142857142858 Kevin Li, 2026.
7⁢x−1
24 175 0.143407460973 Henry Cohn, 2026, needs more optimization.
24 176 0.145422721188 Pavlos Moros, 2026.
24 177 0.145780493011 Azmi C. Özgen, 2026.
24 178 0.145845763856 Azmi C. Özgen, 2026.
24 179 0.146016113324 Henry Cohn, 2026, needs more optimization.
24 180 0.146018032680 Henry Cohn, 2026, needs more optimization.
24 181 0.146018032926 Henry Cohn, 2026, needs more optimization.
24 183 0.148037777097 Henry Cohn, 2026, needs more optimization.
24 184 0.148182649525 Robert Dallara, 2026.
24 186 0.148688022031 Azmi C. Özgen, 2026.
24 187 0.152027450678 Azmi C. Özgen, 2026.
24 188 0.152027517150 Azmi C. Özgen, 2026.
24 189 0.152169621132 Henry Cohn, 2026, needs more optimization.
24 190 0.153283046503 Azmi C. Özgen, 2026.
24 191 0.153609977343 Henry Cohn, 2026, needs more optimization.
24 192 0.154782803216 Azmi C. Özgen, 2026.
24 193 0.155183085949 Henry Cohn, 2026, needs more optimization.
24 195 0.155200433444 Pavlos Moros, 2026.
24 196 0.156088187082 Azmi C. Özgen, 2026.
24 197 0.157137677418 Pavlos Moros, 2026.
24 198 0.158545127253 Azmi C. Özgen, 2026.
24 199 0.159543753317 Pavlos Moros, 2026.
24 200 0.160509841580 Pavlos Moros, 2026.
24 201 0.161357393007 Azmi C. Özgen, 2026.
24 202 0.161703663419 Azmi C. Özgen, 2026.
24 214 0.161904761905 Kevin Li, 2026.
105⁢x−17
24 215 0.162112106244 Azmi C. Özgen, 2026.
24 216 0.163066157618 Pavlos Moros, 2026.
24 217 0.163159973503 Azmi C. Özgen, 2026.
24 218 0.164131693540 Pavlos Moros, 2026.
24 219 0.164594165363 Azmi C. Özgen, 2026.
24 220 0.164973862753 Pavlos Moros, 2026.
24 221 0.165294132596 Pavlos Moros, 2026.
24 222 0.165827176141 Azmi C. Özgen, 2026.
24 223 0.166128387976 Azmi C. Özgen, 2026.
24 224 0.166396001599 Pavlos Moros, 2026.
24 283 0.166666666667 Henry Cohn, 2026.
6⁢x−1
24 284 0.166790646363 Azmi C. Özgen, 2026.
24 285 0.169965256449 Azmi C. Özgen, 2026.
24 286 0.171282397114 Azmi C. Özgen, 2026.
24 287 0.174936225018 Azmi C. Özgen, 2026.
24 288 0.177013608683 Henry Cohn, 2026, needs more optimization.
24 289 0.179218164014 Azmi C. Özgen, 2026.
24 290 0.181572811129 Azmi C. Özgen, 2026.
24 297 0.181818181819 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
11⁢x−2
24 314 0.181818181819 Henry Cohn, 2026.
11⁢x−2
24 315 0.186360420192 Pavlos Moros, 2026.
24 316 0.188619149989 Pavlos Moros, 2026.
24 317 0.190672757493 Pavlos Moros, 2026.
24 318 0.191959319848 Azmi C. Özgen, 2026.
24 330 0.193548387097 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
31⁢x−6
24 555 0.2 Valentin Khrulkov, 2026, using the program of A. Kravatsky, V. Khrulkov, and I. Oseledets, ImprovEvolve: basin-hopping meets LLM-guided evolutionary search, ICML 2026 AI4Math Workshop Poster, https://openreview.net/forum?id=nE1q0gRDNr, arXiv:2602.10233.
5⁢x−1
24 556 0.200810409484 Henry Cohn, 2026, needs more optimization.
24 557 0.206704233680 Azmi C. Özgen, 2026.
24 559 0.210852996458 Kevin Li, 2026.
71⁢x2+4⁢x−4
24 561 0.215410109214 Kevin Li, 2026.
1056⁢x2−49
24 562 0.222581895251 Azmi C. Özgen, 2026.
24 563 0.224090062898 Azmi C. Özgen, 2026.
24 564 0.225307077162 Azmi C. Özgen, 2026.
24 565 0.226543269887 Azmi C. Özgen, 2026.
24 566 0.228186672416 Azmi C. Özgen, 2026.
24 567 0.229098076487 Azmi C. Özgen, 2026.
24 568 0.230483507269 Azmi C. Özgen, 2026.
24 569 0.231609114952 Azmi C. Özgen, 2026.
24 570 0.231648486738 Azmi C. Özgen, 2026.
24 571 0.232151214355 Azmi C. Özgen, 2026.
24 572 0.232346064751 Azmi C. Özgen, 2026.
24 573 0.232782520995 Azmi C. Özgen, 2026.
24 574 0.233292301752 Azmi C. Özgen, 2026.
24 581 0.233711730709 Vadim Borisov, 2026, https://numaro.tech/.
160⁢x2−16⁢x−5
24 627 0.233711730709 Kevin Li, 2026.
160⁢x2−16⁢x−5
24 628 0.241934794934 Azmi C. Özgen, 2026.
24 629 0.243313805799 Azmi C. Özgen, 2026.
24 630 0.244270970205 Azmi C. Özgen, 2026.
24 631 0.245060422244 Azmi C. Özgen, 2026.
24 632 0.245722579319 Azmi C. Özgen, 2026.
24 633 0.246438326819 Azmi C. Özgen, 2026.
24 634 0.247469500704 Azmi C. Özgen, 2026.
24 635 0.248363113603 Pavlos Moros, 2026.
24 636 0.249274217537 Pavlos Moros, 2026.
24 903 0.25 Kevin Li, 2026.
4⁢x−1
24 904 0.25 Henry Cohn, 2026.
4⁢x−1
24 906 0.250032666429 Azmi C. Özgen, 2026.
24 907 0.250147751167 Azmi C. Özgen, 2026.
24 908 0.250150373587 Azmi C. Özgen, 2026.
24 909 0.250910959602 Azmi C. Özgen, 2026.
24 910 0.250917885509 Azmi C. Özgen, 2026.
24 911 0.254054080034 Azmi C. Özgen, 2026.
24 912 0.255028666897 Azmi C. Özgen, 2026.
24 913 0.255514745536 Azmi C. Özgen, 2026.
24 914 0.255926073210 Azmi C. Özgen, 2026.
24 915 0.256441860342 Azmi C. Özgen, 2026.
24 916 0.256459938336 Henry Cohn, 2026, needs more optimization.
24 917 0.256470494249 Henry Cohn, 2026, needs more optimization.
24 918 0.256473256912 Henry Cohn, 2026, needs more optimization.
24 925 0.256477368938 Henry Cohn, 2026.
23⁢x2−2⁢x−1
24 943 0.259843574332 Henry Cohn, 2026.
167⁢x2−28⁢x−4
24 952 0.262071551239 Azmi C. Özgen, 2026.
24 953 0.263902885390 Azmi C. Özgen, 2026.
24 954 0.264347646031 Azmi C. Özgen, 2026.
24 955 0.264799130194 Azmi C. Özgen, 2026.
24 956 0.265143233684 Azmi C. Özgen, 2026.
24 957 0.266381724558 Azmi C. Özgen, 2026.
24 958 0.266442659220 Azmi C. Özgen, 2026.
24 959 0.267751951776 Azmi C. Özgen, 2026.
24 960 0.269107389681 Azmi C. Özgen, 2026.
24 961 0.269107393178 Azmi C. Özgen, 2026.
24 962 0.269117097286 Azmi C. Özgen, 2026.
24 963 0.269117098141 Azmi C. Özgen, 2026.
24 964 0.269127646014 Azmi C. Özgen, 2026.
24 965 0.269397759877 Azmi C. Özgen, 2026.
24 966 0.269410114124 Azmi C. Özgen, 2026.
24 967 0.269411063426 Azmi C. Özgen, 2026.
24 1024 0.272727272728 Code with 1024 points in 22 dimensions.
11⁢x−3
24 196560* 0.5 J. Leech, Notes on sphere packings, Canadian J. Math. 19 (1967), 251–267, doi:10.4153/CJM-1967-017-0; V. I. Levenšteĭn, On bounds for packings in n-dimensional Euclidean space (Russian), Dokl. Akad. Nauk SSSR 245 (1979), 1299–1303, English translation in Soviet Math. Dokl. 20 (1979), 417–421; A. M. Odlyzko and N. J. A. Sloane, New bounds on the number of unit spheres that can touch a unit sphere in n dimensions, J. Combin. Theory Ser. A 26 (1979), 210–214, doi:10.1016/0097-3165(79)90074-8.
2⁢x−1
25 51 0.031729360276 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
13225⁢x3−625⁢x2−25⁢x+1
25 52 0.037067969154 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 55 0.04 Henry Cohn, 2026.
25⁢x−1
25 56 0.046191273933 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
79⁢x2+18⁢x−1
25 57 0.046461733282 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 58 0.046851360412 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 59 0.050704072647 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 64 0.051797462893 Pavlos Moros, 2026.
25 65 0.064023059784 Henry Cohn, 2026, needs more optimization.
25 66 0.065037684675 Henry Cohn, 2026, needs more optimization.
25 67 0.066206034211 Henry Cohn, 2026, needs more optimization.
25 68 0.066460457838 Henry Cohn, 2026, needs more optimization.
25 69 0.068627707329 Henry Cohn, 2026.
25 70 0.071055411990 Henry Cohn, 2026.
25 71 0.071751494072 Henry Cohn, 2026, needs more optimization.
25 72 0.073183293967 Henry Cohn, 2026, needs more optimization.
25 73 0.076149158372 Azmi C. Özgen, 2026.
25 74 0.076464481614 Pavlos Moros, 2026.
25 75 0.076914972932 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 76 0.076915868124 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 77 0.077464853239 Azmi C. Özgen, 2026.
25 78 0.077915089938 Henry Cohn, 2026, needs more optimization.
25 79 0.078439939068 Henry Cohn, 2026, needs more optimization.
25 80 0.078628000041 Azmi C. Özgen, 2026.
25 81 0.078755457453 Azmi C. Özgen, 2026.
25 82 0.081749280362 Henry Cohn, 2026, needs more optimization.
25 83 0.082630494715 Azmi C. Özgen, 2026.
25 84 0.082779269043 Azmi C. Özgen, 2026.
25 85 0.082997587773 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 86 0.083068688870 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 87 0.083249586073 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 88 0.083267079002 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 89 0.084850884056 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 90 0.085255453742 Henry Cohn, 2026, needs more optimization.
25 91 0.086622600059 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 92 0.088535148068 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 93 0.089394011575 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 94 0.089886926092 Henry Cohn, 2026, needs more optimization.
25 95 0.090206950611 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 96 0.090436733307 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 97 0.090613279716 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 98 0.090736690899 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 99 0.090776899944 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 100 0.090823896794 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 101 0.090828568778 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 102 0.090855790338 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 104 0.090876998927 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 105 0.090889352940 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 106 0.090893337254 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 107 0.090907480979 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 108 0.090909088938 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 109 0.095541930219 Henry Cohn, 2026, needs more optimization.
25 110 0.099492679872 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 111 0.102579822133 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 112 0.104990242023 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 117 0.105319726475 Henry Cohn, 2026.
375⁢x2−30⁢x−1
25 118 0.107225148389 Henry Cohn, 2026, needs more optimization.
25 119 0.108423923134 Azmi C. Özgen, 2026.
25 120 0.108641455023 Azmi C. Özgen, 2026.
25 121 0.109261196489 Azmi C. Özgen, 2026.
25 122 0.109442179556 Azmi C. Özgen, 2026.
25 123 0.109783873689 Azmi C. Özgen, 2026.
25 124 0.110991755344 Henry Cohn, 2026, needs more optimization.
25 125 0.111107890528 Henry Cohn, 2026, needs more optimization.
25 126 0.111110776432 Henry Cohn, 2026, needs more optimization.
25 127 0.111129054215 Henry Cohn, 2026, needs more optimization.
25 128 0.111317066832 Henry Cohn, 2026, needs more optimization.
25 129 0.117074538882 Henry Cohn, 2026, needs more optimization.
25 130 0.119935307599 Azmi C. Özgen, 2026.
25 131 0.121758126659 Azmi C. Özgen, 2026.
25 132 0.123060726326 Azmi C. Özgen, 2026.
25 133 0.123990098045 Azmi C. Özgen, 2026.
25 134 0.126241157985 Henry Cohn, 2026, needs more optimization.
25 135 0.128178615285 Azmi C. Özgen, 2026.
25 136 0.129698608461 Azmi C. Özgen, 2026.
25 137 0.130956651372 Azmi C. Özgen, 2026.
25 138 0.131021467623 Azmi C. Özgen, 2026.
25 139 0.131039282224 Azmi C. Özgen, 2026.
25 140 0.131210781462 Azmi C. Özgen, 2026.
25 141 0.131432596370 Azmi C. Özgen, 2026.
25 142 0.131579100290 Henry Cohn, 2026, needs more optimization.
25 143 0.132709964271 Pavlos Moros, 2026.
25 156 0.133333333334 Henry Cohn, 2023. In Ericson and Zinoviev's notation, this code is the union of a code constructed by CW2 from C : (26,6,8,130) and -S25 by CW2.
15⁢x−2
25 157 0.135151744896 Azmi C. Özgen, 2026.
25 158 0.136654683626 Azmi C. Özgen, 2026.
25 159 0.138009735180 Pavlos Moros, 2026.
25 160 0.139439546155 Azmi C. Özgen, 2026.
25 161 0.141373993278 Azmi C. Özgen, 2026.
25 162 0.142798100202 Henry Cohn, 2026, needs more optimization.
25 163 0.142819108718 Henry Cohn, 2026, needs more optimization.
25 164 0.142823023690 Henry Cohn, 2026, needs more optimization.
25 165 0.142829151200 Henry Cohn, 2026, needs more optimization.
25 166 0.142831327486 Henry Cohn, 2026, needs more optimization.
25 167 0.142834294788 Henry Cohn, 2026, needs more optimization.
25 168 0.142841349372 Henry Cohn, 2026, needs more optimization.
25 169 0.142843704067 Henry Cohn, 2026, needs more optimization.
25 170 0.142845065161 Henry Cohn, 2026, needs more optimization.
25 171 0.142846574334 Henry Cohn, 2026, needs more optimization.
25 172 0.142848463395 Henry Cohn, 2026, needs more optimization.
25 173 0.142851954899 Pavlos Moros, 2026.
25 174 0.142852014255 Henry Cohn, 2026, needs more optimization.
25 175 0.142852194587 Pavlos Moros, 2026.
25 176 0.142853009892 Henry Cohn, 2026, needs more optimization.
25 179 0.142857142858 Kevin Li, 2026.
7⁢x−1
25 180 0.142950175849 Azmi C. Özgen, 2026.
25 181 0.143545452580 Azmi C. Özgen, 2026.
25 182 0.144721672885 Azmi C. Özgen, 2026.
25 183 0.145421117953 Azmi C. Özgen, 2026.
25 184 0.145498546309 Azmi C. Özgen, 2026.
25 185 0.145952644774 Azmi C. Özgen, 2026.
25 186 0.145954849879 Azmi C. Özgen, 2026.
25 187 0.146196063918 Azmi C. Özgen, 2026.
25 188 0.146792081945 Henry Cohn, 2026, needs more optimization.
25 194 0.147102976680 Henry Cohn, 2026.
87⁢x2−6⁢x−1
25 195 0.148455282677 Azmi C. Özgen, 2026.
25 204 0.151215950898 Azmi C. Özgen, 2026.
25 208 0.154168072141 Azmi C. Özgen, 2026.
25 209 0.154265105593 Azmi C. Özgen, 2026.
25 210 0.154558574527 Azmi C. Özgen, 2026.
25 211 0.155911577232 Azmi C. Özgen, 2026.
25 212 0.157260787450 Azmi C. Özgen, 2026.
25 213 0.158145438254 Azmi C. Özgen, 2026.
25 214 0.158448619855 Azmi C. Özgen, 2026.
25 215 0.158850234170 Azmi C. Özgen, 2026.
25 216 0.159795715551 Azmi C. Özgen, 2026.
25 217 0.159851864367 Azmi C. Özgen, 2026.
25 218 0.159991255375 Pavlos Moros, 2026.
25 219 0.160821927595 Azmi C. Özgen, 2026.
25 220 0.161317453232 Azmi C. Özgen, 2026.
25 221 0.161906952310 Pavlos Moros, 2026.
25 222 0.161908567642 Henry Cohn, 2026, needs more optimization.
25 223 0.162150229193 Azmi C. Özgen, 2026.
25 224 0.162612743074 Azmi C. Özgen, 2026.
25 225 0.162716187259 Azmi C. Özgen, 2026.
25 226 0.163498512303 Azmi C. Özgen, 2026.
25 227 0.164248583481 Azmi C. Özgen, 2026.
25 228 0.164648127585 Azmi C. Özgen, 2026.
25 229 0.165025506094 Azmi C. Özgen, 2026.
25 230 0.165316036614 Azmi C. Özgen, 2026.
25 231 0.165749366155 Azmi C. Özgen, 2026.
25 232 0.165876367431 Azmi C. Özgen, 2026.
25 233 0.165959607492 Azmi C. Özgen, 2026.
25 234 0.166114109584 Pavlos Moros, 2026.
25 235 0.166185383068 Azmi C. Özgen, 2026.
25 236 0.166260802447 Azmi C. Özgen, 2026.
25 237 0.166403990652 Henry Cohn, 2026, needs more optimization.
25 238 0.166526779770 Azmi C. Özgen, 2026.
25 239 0.166565975519 Azmi C. Özgen, 2026.
25 240 0.166599925836 Azmi C. Özgen, 2026.
25 241 0.166601110467 Azmi C. Özgen, 2026.
25 242 0.166627160975 Azmi C. Özgen, 2026.
25 287 0.166666666667 Kevin Li, 2026.
6⁢x−1
25 290 0.166666666667 Henry Cohn, 2026.
6⁢x−1
25 291 0.167578879624 Azmi C. Özgen, 2026.
25 292 0.169428603610 Azmi C. Özgen, 2026.
25 293 0.169994440264 Azmi C. Özgen, 2026.
25 294 0.172043225160 Henry Cohn, 2026, needs more optimization.
25 295 0.173769252893 Azmi C. Özgen, 2026.
25 296 0.175848730218 Azmi C. Özgen, 2026.
25 297 0.177323644247 Azmi C. Özgen, 2026.
25 298 0.178904575051 Azmi C. Özgen, 2026.
25 299 0.180411748673 Azmi C. Özgen, 2026.
25 321 0.181818181819 Henry Cohn, 2026.
11⁢x−2
25 322 0.183668543208 Henry Cohn, 2026, needs more optimization.
25 323 0.184019597235 Pavlos Moros, 2026.
25 324 0.185379264631 Azmi C. Özgen, 2026.
25 325 0.186934437940 Azmi C. Özgen, 2026.
25 326 0.187733588475 Azmi C. Özgen, 2026.
25 327 0.189440714401 Azmi C. Özgen, 2026.
25 328 0.191111093791 Azmi C. Özgen, 2026.
25 329 0.192016457064 Azmi C. Özgen, 2026.
25 335 0.193548387097 Henry Cohn, 2026.
31⁢x−6
25 340 0.194120819402 Henry Cohn, 2026, needs more optimization.
25 341 0.196567228571 Henry Cohn, 2026, needs more optimization.
25 342 0.198063664565 Azmi C. Özgen, 2026.
25 343 0.199508841430 Azmi C. Özgen, 2026.
25 559 0.2 Kevin Li, 2026.
5⁢x−1
25 562 0.2 Henry Cohn, 2026.
5⁢x−1
25 563 0.200107970264 Azmi C. Özgen, 2026.
25 564 0.201323098524 Azmi C. Özgen, 2026.
25 565 0.203187114120 Azmi C. Özgen, 2026.
25 566 0.206757855395 Azmi C. Özgen, 2026.
25 567 0.209530161919 Azmi C. Özgen, 2026.
25 568 0.211645757075 Azmi C. Özgen, 2026.
25 569 0.214201486157 Azmi C. Özgen, 2026.
25 570 0.216221852797 Azmi C. Özgen, 2026.
25 571 0.217582517083 Azmi C. Özgen, 2026.
25 572 0.219159586577 Azmi C. Özgen, 2026.
25 573 0.221147027387 Azmi C. Özgen, 2026.
25 574 0.221934145700 Azmi C. Özgen, 2026.
25 575 0.223484747454 Azmi C. Özgen, 2026.
25 576 0.224109722850 Azmi C. Özgen, 2026.
25 577 0.225436425353 Azmi C. Özgen, 2026.
25 578 0.225901806382 Azmi C. Özgen, 2026.
25 579 0.226660892071 Azmi C. Özgen, 2026.
25 580 0.227928938154 Azmi C. Özgen, 2026.
25 581 0.228810525521 Azmi C. Özgen, 2026.
25 582 0.229313930295 Azmi C. Özgen, 2026.
25 583 0.230158334598 Azmi C. Özgen, 2026.
25 584 0.231385145238 Azmi C. Özgen, 2026.
25 585 0.231763010245 Azmi C. Özgen, 2026.
25 586 0.232604700070 Azmi C. Özgen, 2026.
25 587 0.233231796428 Azmi C. Özgen, 2026.
25 630 0.233711730709 Kevin Li, 2026.
160⁢x2−16⁢x−5
25 634 0.233711730709 Henry Cohn, 2026.
160⁢x2−16⁢x−5
25 635 0.233770912193 Azmi C. Özgen, 2026.
25 636 0.235016689625 Azmi C. Özgen, 2026.
25 637 0.235106777107 Azmi C. Özgen, 2026.
25 638 0.235951140580 Azmi C. Özgen, 2026.
25 639 0.237527275868 Azmi C. Özgen, 2026.
25 640 0.237897863456 Azmi C. Özgen, 2026.
25 641 0.238818446039 Azmi C. Özgen, 2026.
25 642 0.239252146683 Azmi C. Özgen, 2026.
25 643 0.240051893924 Azmi C. Özgen, 2026.
25 644 0.240324714163 Azmi C. Özgen, 2026.
25 645 0.240828157446 Azmi C. Özgen, 2026.
25 646 0.241929811687 Azmi C. Özgen, 2026.
25 647 0.242175986840 Azmi C. Özgen, 2026.
25 648 0.242434670971 Azmi C. Özgen, 2026.
25 649 0.242468617438 Azmi C. Özgen, 2026.
25 650 0.242872702057 Azmi C. Özgen, 2026.
25 651 0.245484258816 Azmi C. Özgen, 2026.
25 652 0.246044183839 Azmi C. Özgen, 2026.
25 653 0.247395608595 Azmi C. Özgen, 2026.
25 654 0.248988580136 Azmi C. Özgen, 2026.
25 655 0.249054039496 Azmi C. Özgen, 2026.
25 656 0.249106835922 Azmi C. Özgen, 2026.
25 657 0.249122422912 Azmi C. Özgen, 2026.
25 658 0.249194899621 Azmi C. Özgen, 2026.
25 659 0.249259904861 Azmi C. Özgen, 2026.
25 660 0.249316194561 Azmi C. Özgen, 2026.
25 661 0.249338608093 Azmi C. Özgen, 2026.
25 662 0.249364720363 Azmi C. Özgen, 2026.
25 663 0.249370347100 Azmi C. Özgen, 2026.
25 664 0.249498390079 Azmi C. Özgen, 2026.
25 665 0.249526764276 Azmi C. Özgen, 2026.
25 666 0.249553966032 Azmi C. Özgen, 2026.
25 667 0.249609099752 Azmi C. Özgen, 2026.
25 668 0.249637437278 Azmi C. Özgen, 2026.
25 669 0.249678605590 Azmi C. Özgen, 2026.
25 670 0.249712357268 Azmi C. Özgen, 2026.
25 671 0.249719061558 Azmi C. Özgen, 2026.
25 672 0.249738031449 Azmi C. Özgen, 2026.
25 673 0.249787777769 Azmi C. Özgen, 2026.
25 674 0.249798018626 Azmi C. Özgen, 2026.
25 675 0.249812405117 Azmi C. Özgen, 2026.
25 676 0.249814278087 Azmi C. Özgen, 2026.
25 677 0.249850279376 Azmi C. Özgen, 2026.
25 900 0.25 Henry Cohn, 2025.
4⁢x−1
25 915 0.25 Kevin Li, 2026.
4⁢x−1
25 920 0.25 Henry Cohn, 2026.
4⁢x−1
25 921 0.250272602545 Azmi C. Özgen, 2026.
25 922 0.250316877481 Azmi C. Özgen, 2026.
25 923 0.250489569122 Azmi C. Özgen, 2026.
25 924 0.250492755298 Azmi C. Özgen, 2026.
25 925 0.250772934075 Azmi C. Özgen, 2026.
25 926 0.251427395949 Azmi C. Özgen, 2026.
25 927 0.251694742037 Azmi C. Özgen, 2026.
25 928 0.252217935468 Azmi C. Özgen, 2026.
25 929 0.252910073510 Azmi C. Özgen, 2026.
25 930 0.253405169478 Azmi C. Özgen, 2026.
25 931 0.253913088651 Azmi C. Özgen, 2026.
25 932 0.254523115608 Azmi C. Özgen, 2026.
25 933 0.254768503278 Azmi C. Özgen, 2026.
25 934 0.255510736849 Azmi C. Özgen, 2026.
25 935 0.255851237231 Azmi C. Özgen, 2026.
25 936 0.256442082319 Azmi C. Özgen, 2026.
25 937 0.257004920610 Azmi C. Özgen, 2026.
25 938 0.257355720901 Azmi C. Özgen, 2026.
25 939 0.257785775875 Azmi C. Özgen, 2026.
25 940 0.258295030973 Azmi C. Özgen, 2026.
25 941 0.258906048254 Azmi C. Özgen, 2026.
25 942 0.259532302167 Azmi C. Özgen, 2026.
25 970 0.259843574332 Henry Cohn, 2026.
167⁢x2−28⁢x−4
25 971 0.262071548451 Henry Cohn, 2026, needs more optimization.
25 972 0.262071548472 Azmi C. Özgen, 2026.
25 973 0.262071548509 Azmi C. Özgen, 2026.
25 974 0.262071548607 Azmi C. Özgen, 2026.
25 977 0.263299316186 Henry Cohn, 2026.
60⁢x2−12⁢x−1
25 978 0.263309432222 Azmi C. Özgen, 2026.
25 979 0.263398768023 Azmi C. Özgen, 2026.
25 980 0.263400059848 Azmi C. Özgen, 2026.
25 981 0.263495271659 Azmi C. Özgen, 2026.
25 982 0.263495276408 Azmi C. Özgen, 2026.
25 983 0.263495280931 Azmi C. Özgen, 2026.
25 984 0.263835742458 Azmi C. Özgen, 2026.
25 985 0.264333484828 Azmi C. Özgen, 2026.
25 986 0.264363979434 Azmi C. Özgen, 2026.
25 987 0.264617239414 Azmi C. Özgen, 2026.
25 988 0.264861579619 Azmi C. Özgen, 2026.
25 989 0.264867066087 Azmi C. Özgen, 2026.
25 990 0.265891405724 Azmi C. Özgen, 2026.
25 991 0.265926296363 Azmi C. Özgen, 2026.
25 992 0.266364551956 Azmi C. Özgen, 2026.
25 993 0.266409989826 Azmi C. Özgen, 2026.
25 994 0.267440276760 Henry Cohn, 2026, needs more optimization.
25 995 0.269219756699 Henry Cohn, 2026, needs more optimization.
25 996 0.269601124567 Henry Cohn, 2026, needs more optimization.
25 997 0.270563246890 Henry Cohn, 2026, needs more optimization.
25 998 0.270989984903 Henry Cohn, 2026, needs more optimization.
25 999 0.271453749655 Henry Cohn, 2026, needs more optimization.
25 1000 0.271945279113 Henry Cohn, 2026, needs more optimization.
25 1024 0.272727272728 Code with 1024 points in 22 dimensions.
11⁢x−3
26 53 0.030620650808 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
14976⁢x3−676⁢x2−26⁢x+1
26 54 0.035745276453 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 55 0.039998823360 Henry Cohn, 2026, needs more optimization.
26 57 0.04 Orthogonal union of 55 points in 25 dimensions and 2 points in 1 dimension.
25⁢x−1
26 58 0.045359447519 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 59 0.046102308738 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 60 0.046283677257 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4416⁢x4+1568⁢x3−376⁢x2−8⁢x+1
26 61 0.049129792958 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 62 0.051287179678 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 65 0.051797462476 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 66 0.051797462893 Henry Cohn, 2026, needs more optimization.
26 67 0.062956992866 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 68 0.063598659353 Henry Cohn, 2026, needs more optimization.
26 69 0.064912312965 Henry Cohn, 2026, needs more optimization.
26 70 0.065389459148 Azmi C. Özgen, 2026.
26 71 0.066596080786 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 72 0.068273741076 Azmi C. Özgen, 2026.
26 73 0.070914846165 Azmi C. Özgen, 2026.
26 74 0.072330351047 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 75 0.073787223453 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 76 0.074801921584 Robert Dallara, 2026.
26 77 0.076317555014 Pavlos Moros, 2026.
26 78 0.076830183084 Henry Cohn, 2026, needs more optimization.
26 79 0.076905277345 Henry Cohn, 2026, needs more optimization.
26 80 0.076923144687 Henry Cohn, 2026, needs more optimization.
26 81 0.077479700080 Azmi C. Özgen, 2026.
26 82 0.077805753983 Azmi C. Özgen, 2026.
26 83 0.078173033258 Azmi C. Özgen, 2026.
26 84 0.078378290833 Henry Cohn, 2026, needs more optimization.
26 85 0.078745852280 Azmi C. Özgen, 2026.
26 86 0.079365497085 Henry Cohn, 2026, needs more optimization.
26 94 0.080685003328 Henry Cohn, 2026.
575⁢x2−34⁢x−1
26 95 0.082971677910 Azmi C. Özgen, 2026.
26 96 0.085856265348 Henry Cohn, 2026, needs more optimization.
26 97 0.088469338413 Henry Cohn, 2026, needs more optimization.
26 98 0.089067272832 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 99 0.089810706241 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 100 0.089956641908 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 102 0.090089091244 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 103 0.090587751393 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 104 0.090594197257 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 105 0.090731677093 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 106 0.090784057884 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 107 0.090800963061 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 108 0.090818338987 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 109 0.090874595241 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 110 0.090892781501 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 111 0.091344182233 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 112 0.093659256061 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 113 0.097014195010 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 114 0.099595293563 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 115 0.101947711863 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 120 0.103125332235 Henry Cohn, 2026.
191⁢x2−10⁢x−1
26 121 0.103746569671 Henry Cohn, 2026, needs more optimization.
26 122 0.105387312689 Henry Cohn, 2026, needs more optimization.
26 123 0.106258297367 Henry Cohn, 2026, needs more optimization.
26 124 0.107051515109 Azmi C. Özgen, 2026.
26 125 0.107634500492 Azmi C. Özgen, 2026.
26 126 0.108553959968 Henry Cohn, 2026, needs more optimization.
26 127 0.109062127261 Azmi C. Özgen, 2026.
26 128 0.110958714759 Henry Cohn, 2026, needs more optimization.
26 129 0.110977627054 Henry Cohn, 2026, needs more optimization.
26 130 0.111000196774 Henry Cohn, 2026, needs more optimization.
26 131 0.111082525198 Henry Cohn, 2026, needs more optimization.
26 132 0.112877069724 Azmi C. Özgen, 2026.
26 133 0.114496675287 Azmi C. Özgen, 2026.
26 134 0.115254720846 Azmi C. Özgen, 2026.
26 135 0.116267174830 Azmi C. Özgen, 2026.
26 136 0.116444844794 Pavlos Moros, 2026.
26 137 0.117067110014 Azmi C. Özgen, 2026.
26 138 0.118624039718 Henry Cohn, 2026, needs more optimization.
26 139 0.122297899373 Azmi C. Özgen, 2026.
26 140 0.125290799928 Azmi C. Özgen, 2026.
26 141 0.127916600904 Azmi C. Özgen, 2026.
26 142 0.130142066227 Azmi C. Özgen, 2026.
26 143 0.130623786834 Azmi C. Özgen, 2026.
26 144 0.130643109978 Azmi C. Özgen, 2026.
26 145 0.130953727612 Azmi C. Özgen, 2026.
26 146 0.130965059369 Azmi C. Özgen, 2026.
26 147 0.131772596551 Azmi C. Özgen, 2026.
26 148 0.131987143290 Azmi C. Özgen, 2026.
26 149 0.132301687613 Azmi C. Özgen, 2026.
26 150 0.132815713979 Azmi C. Özgen, 2026.
26 159 0.133333333334 Henry Cohn, 2026.
15⁢x−2
26 160 0.134514564475 Azmi C. Özgen, 2026.
26 161 0.135119018348 Azmi C. Özgen, 2026.
26 162 0.135261098722 Azmi C. Özgen, 2026.
26 163 0.136014979469 Azmi C. Özgen, 2026.
26 164 0.136321564726 Azmi C. Özgen, 2026.
26 165 0.136775940218 Azmi C. Özgen, 2026.
26 166 0.138763392232 Azmi C. Özgen, 2026.
26 167 0.139906469967 Azmi C. Özgen, 2026.
26 168 0.140983725928 Azmi C. Özgen, 2026.
26 169 0.142625060124 Azmi C. Özgen, 2026.
26 170 0.142637046781 Azmi C. Özgen, 2026.
26 171 0.142684668267 Pavlos Moros, 2026.
26 172 0.142708315804 Pavlos Moros, 2026.
26 173 0.142717431356 Azmi C. Özgen, 2026.
26 174 0.142727140601 Azmi C. Özgen, 2026.
26 175 0.142741693260 Pavlos Moros, 2026.
26 176 0.142751127637 Pavlos Moros, 2026.
26 177 0.142758381380 Pavlos Moros, 2026.
26 178 0.142771318336 Pavlos Moros, 2026.
26 179 0.142787879900 Azmi C. Özgen, 2026.
26 180 0.142799699031 Pavlos Moros, 2026.
26 181 0.142811358832 Pavlos Moros, 2026.
26 182 0.142816662012 Henry Cohn, 2026, needs more optimization.
26 183 0.142822938134 Azmi C. Özgen, 2026.
26 184 0.142830891711 Pavlos Moros, 2026.
26 186 0.142857142858 Kevin Li, 2026.
7⁢x−1
26 187 0.142857142858 Henry Cohn, 2026.
7⁢x−1
26 188 0.143160752726 Pavlos Moros, 2026.
26 189 0.144435910117 Pavlos Moros, 2026.
26 190 0.145441693713 Azmi C. Özgen, 2026.
26 191 0.145476534718 Azmi C. Özgen, 2026.
26 192 0.145628816086 Azmi C. Özgen, 2026.
26 193 0.145855677505 Azmi C. Özgen, 2026.
26 194 0.146644410104 Azmi C. Özgen, 2026.
26 195 0.146646788278 Azmi C. Özgen, 2026.
26 197 0.146655049873 Azmi C. Özgen, 2026.
26 198 0.146949781793 Azmi C. Özgen, 2026.
26 199 0.147105003640 Henry Cohn, 2026, needs more optimization.
26 200 0.147110768263 Azmi C. Özgen, 2026.
26 202 0.147401121820 Azmi C. Özgen, 2026.
26 203 0.147567128297 Azmi C. Özgen, 2026.
26 204 0.148707568093 Azmi C. Özgen, 2026.
26 207 0.149210652613 Azmi C. Özgen, 2026.
26 218 0.149321963531 Henry Cohn, 2026.
152⁢x2−16⁢x−1
26 219 0.151933742866 Henry Cohn, 2026, needs more optimization.
26 220 0.152425735587 Azmi C. Özgen, 2026.
26 221 0.153832022846 Azmi C. Özgen, 2026.
26 222 0.154181942858 Azmi C. Özgen, 2026.
26 223 0.154609209021 Henry Cohn, 2026, needs more optimization.
26 224 0.155088727070 Henry Cohn, 2026, needs more optimization.
26 225 0.155236982088 Azmi C. Özgen, 2026.
26 226 0.155240879200 Azmi C. Özgen, 2026.
26 227 0.155884168766 Azmi C. Özgen, 2026.
26 228 0.156647504598 Azmi C. Özgen, 2026.
26 229 0.158435845488 Azmi C. Özgen, 2026.
26 230 0.159324773965 Azmi C. Özgen, 2026.
26 231 0.160231894797 Azmi C. Özgen, 2026.
26 232 0.161911811246 Vadim Borisov, 2026, https://numaro.tech/.
26 233 0.162032589512 Azmi C. Özgen, 2026.
26 234 0.162429332128 Azmi C. Özgen, 2026.
26 235 0.162719056931 Azmi C. Özgen, 2026.
26 236 0.162721047838 Azmi C. Özgen, 2026.
26 237 0.162984704251 Azmi C. Özgen, 2026.
26 238 0.163782862567 Azmi C. Özgen, 2026.
26 239 0.163966065262 Azmi C. Özgen, 2026.
26 240 0.164507231391 Azmi C. Özgen, 2026.
26 241 0.165071214019 Azmi C. Özgen, 2026.
26 242 0.165092504700 Azmi C. Özgen, 2026.
26 243 0.165479449326 Azmi C. Özgen, 2026.
26 244 0.165782835815 Azmi C. Özgen, 2026.
26 245 0.165890947308 Azmi C. Özgen, 2026.
26 246 0.166154672470 Azmi C. Özgen, 2026.
26 247 0.166245339415 Azmi C. Özgen, 2026.
26 248 0.166257951451 Azmi C. Özgen, 2026.
26 249 0.166307847635 Azmi C. Özgen, 2026.
26 250 0.166376992352 Azmi C. Özgen, 2026.
26 251 0.166389952942 Azmi C. Özgen, 2026.
26 252 0.166452233952 Azmi C. Özgen, 2026.
26 253 0.166489141466 Azmi C. Özgen, 2026.
26 254 0.166514846448 Azmi C. Özgen, 2026.
26 255 0.166535678582 Pavlos Moros, 2026.
26 256 0.166576752861 Pavlos Moros, 2026.
26 257 0.166593360639 Pavlos Moros, 2026.
26 258 0.166625486986 Henry Cohn, 2026, needs more optimization.
26 297 0.166666666667 Kevin Li, 2026.
6⁢x−1
26 298 0.167286219797 Azmi C. Özgen, 2026.
26 299 0.168415502303 Azmi C. Özgen, 2026.
26 300 0.169882807041 Azmi C. Özgen, 2026.
26 301 0.170947896750 Azmi C. Özgen, 2026.
26 302 0.172021094821 Azmi C. Özgen, 2026.
26 303 0.173587716533 Azmi C. Özgen, 2026.
26 304 0.175344018097 Azmi C. Özgen, 2026.
26 305 0.176258428955 Azmi C. Özgen, 2026.
26 306 0.177887802341 Azmi C. Özgen, 2026.
26 307 0.179384838810 Azmi C. Özgen, 2026.
26 308 0.180025236707 Azmi C. Özgen, 2026.
26 330 0.181818181819 Henry Cohn, 2026.
11⁢x−2
26 331 0.182011894343 Azmi C. Özgen, 2026.
26 332 0.182499589037 Azmi C. Özgen, 2026.
26 333 0.183962788450 Azmi C. Özgen, 2026.
26 334 0.184951431812 Azmi C. Özgen, 2026.
26 335 0.185609754658 Azmi C. Özgen, 2026.
26 336 0.186806272072 Azmi C. Özgen, 2026.
26 337 0.187775224954 Azmi C. Özgen, 2026.
26 338 0.188611320305 Azmi C. Özgen, 2026.
26 339 0.189940750814 Azmi C. Özgen, 2026.
26 340 0.190248638004 Azmi C. Özgen, 2026.
26 341 0.191993080448 Azmi C. Özgen, 2026.
26 342 0.192419090429 Azmi C. Özgen, 2026.
26 343 0.193040909588 Azmi C. Özgen, 2026.
26 344 0.194275551682 Azmi C. Özgen, 2026.
26 345 0.195111498511 Azmi C. Özgen, 2026.
26 346 0.196255138341 Azmi C. Özgen, 2026.
26 347 0.196378360194 Azmi C. Özgen, 2026.
26 348 0.196470142846 Azmi C. Özgen, 2026.
26 349 0.196624798777 Azmi C. Özgen, 2026.
26 350 0.196836506071 Azmi C. Özgen, 2026.
26 351 0.196941831097 Azmi C. Özgen, 2026.
26 352 0.196962964486 Azmi C. Özgen, 2026.
26 353 0.197130458777 Azmi C. Özgen, 2026.
26 354 0.197238215120 Azmi C. Özgen, 2026.
26 355 0.197318050400 Azmi C. Özgen, 2026.
26 356 0.197386101955 Azmi C. Özgen, 2026.
26 357 0.197672706856 Azmi C. Özgen, 2026.
26 358 0.197763451075 Azmi C. Özgen, 2026.
26 359 0.197833343197 Azmi C. Özgen, 2026.
26 360 0.198047111175 Azmi C. Özgen, 2026.
26 361 0.198054761668 Azmi C. Özgen, 2026.
26 362 0.198107034786 Azmi C. Özgen, 2026.
26 363 0.198183142033 Azmi C. Özgen, 2026.
26 364 0.198251489160 Azmi C. Özgen, 2026.
26 365 0.198404235109 Azmi C. Özgen, 2026.
26 366 0.198449196714 Azmi C. Özgen, 2026.
26 367 0.198565031406 Azmi C. Özgen, 2026.
26 368 0.198615799342 Azmi C. Özgen, 2026.
26 369 0.198666900655 Azmi C. Özgen, 2026.
26 370 0.198779367728 Azmi C. Özgen, 2026.
26 371 0.198923100315 Azmi C. Özgen, 2026.
26 372 0.199002828925 Azmi C. Özgen, 2026.
26 373 0.199027141227 Azmi C. Özgen, 2026.
26 374 0.199100550191 Azmi C. Özgen, 2026.
26 375 0.199178364268 Azmi C. Özgen, 2026.
26 376 0.199266008746 Azmi C. Özgen, 2026.
26 377 0.199277505068 Azmi C. Özgen, 2026.
26 378 0.199347711700 Azmi C. Özgen, 2026.
26 379 0.199399475051 Azmi C. Özgen, 2026.
26 380 0.199403472519 Azmi C. Özgen, 2026.
26 381 0.199446211899 Azmi C. Özgen, 2026.
26 382 0.199468458642 Azmi C. Özgen, 2026.
26 383 0.199498395092 Azmi C. Özgen, 2026.
26 384 0.199519246991 Azmi C. Özgen, 2026.
26 385 0.199567502645 Azmi C. Özgen, 2026.
26 386 0.199605179907 Azmi C. Özgen, 2026.
26 387 0.199645045707 Azmi C. Özgen, 2026.
26 388 0.199669368835 Azmi C. Özgen, 2026.
26 389 0.199699173959 Azmi C. Özgen, 2026.
26 390 0.199744741993 Azmi C. Özgen, 2026.
26 391 0.199754831485 Azmi C. Özgen, 2026.
26 392 0.199763239461 Azmi C. Özgen, 2026.
26 393 0.199772486922 Azmi C. Özgen, 2026.
26 394 0.199798897797 Azmi C. Özgen, 2026.
26 395 0.199800747463 Azmi C. Özgen, 2026.
26 396 0.199834823805 Azmi C. Özgen, 2026.
26 397 0.199863731571 Azmi C. Özgen, 2026.
26 398 0.199874276945 Azmi C. Özgen, 2026.
26 399 0.199886390886 Azmi C. Özgen, 2026.
26 400 0.199899796924 Azmi C. Özgen, 2026.
26 401 0.199905565080 Azmi C. Özgen, 2026.
26 402 0.199921619114 Henry Cohn, 2026, needs more optimization.
26 403 0.199934061079 Henry Cohn, 2026, needs more optimization.
26 404 0.199949881568 Henry Cohn, 2026, needs more optimization.
26 405 0.199961587850 Henry Cohn, 2026, needs more optimization.
26 406 0.199969081106 Henry Cohn, 2026, needs more optimization.
26 407 0.199979521049 Henry Cohn, 2026, needs more optimization.
26 571 0.2 Henry Cohn, 2026.
5⁢x−1
26 572 0.200446447522 Azmi C. Özgen, 2026.
26 573 0.200818231583 Azmi C. Özgen, 2026.
26 574 0.202132386740 Azmi C. Özgen, 2026.
26 575 0.203797882374 Azmi C. Özgen, 2026.
26 576 0.205231167054 Azmi C. Özgen, 2026.
26 577 0.207865588090 Azmi C. Özgen, 2026.
26 578 0.208889582547 Azmi C. Özgen, 2026.
26 579 0.210895757001 Azmi C. Özgen, 2026.
26 580 0.211844028581 Azmi C. Özgen, 2026.
26 581 0.212551136728 Azmi C. Özgen, 2026.
26 582 0.213681418759 Azmi C. Özgen, 2026.
26 583 0.214446486256 Azmi C. Özgen, 2026.
26 584 0.217158644911 Azmi C. Özgen, 2026.
26 585 0.218078714483 Azmi C. Özgen, 2026.
26 586 0.218696323273 Azmi C. Özgen, 2026.
26 587 0.219783852271 Azmi C. Özgen, 2026.
26 588 0.221282360369 Azmi C. Özgen, 2026.
26 589 0.221287360828 Azmi C. Özgen, 2026.
26 590 0.221961466093 Azmi C. Özgen, 2026.
26 591 0.223037159176 Azmi C. Özgen, 2026.
26 592 0.223770397691 Azmi C. Özgen, 2026.
26 593 0.224533763988 Azmi C. Özgen, 2026.
26 594 0.225560853092 Azmi C. Özgen, 2026.
26 595 0.225576440806 Azmi C. Özgen, 2026.
26 596 0.225600595108 Azmi C. Özgen, 2026.
26 597 0.226287405847 Azmi C. Özgen, 2026.
26 598 0.226820204368 Azmi C. Özgen, 2026.
26 599 0.227327967477 Azmi C. Özgen, 2026.
26 600 0.229513033411 Henry Cohn, 2026, needs more optimization.
26 601 0.231771701824 Henry Cohn, 2026, needs more optimization.
26 633 0.233711730709 Kevin Li, 2026.
160⁢x2−16⁢x−5
26 649 0.233711730709 Henry Cohn, 2026.
160⁢x2−16⁢x−5
26 650 0.233941062210 Azmi C. Özgen, 2026.
26 651 0.234251086396 Azmi C. Özgen, 2026.
26 652 0.234538353215 Azmi C. Özgen, 2026.
26 653 0.235079458635 Azmi C. Özgen, 2026.
26 654 0.235186797244 Azmi C. Özgen, 2026.
26 655 0.235471824619 Azmi C. Özgen, 2026.
26 656 0.236705136527 Azmi C. Özgen, 2026.
26 657 0.237309250699 Azmi C. Özgen, 2026.
26 658 0.237821944886 Azmi C. Özgen, 2026.
26 659 0.238390784232 Azmi C. Özgen, 2026.
26 660 0.238817841883 Azmi C. Özgen, 2026.
26 661 0.239342519197 Azmi C. Özgen, 2026.
26 662 0.239650455835 Azmi C. Özgen, 2026.
26 663 0.239733394472 Azmi C. Özgen, 2026.
26 664 0.240334896050 Azmi C. Özgen, 2026.
26 665 0.240345998729 Azmi C. Özgen, 2026.
26 666 0.241212963984 Azmi C. Özgen, 2026.
26 667 0.241614388758 Azmi C. Özgen, 2026.
26 668 0.241962691129 Azmi C. Özgen, 2026.
26 669 0.244344537447 Azmi C. Özgen, 2026.
26 670 0.245303731426 Azmi C. Özgen, 2026.
26 671 0.246514231110 Azmi C. Özgen, 2026.
26 672 0.248009737781 Azmi C. Özgen, 2026.
26 673 0.248066437569 Azmi C. Özgen, 2026.
26 674 0.248157757057 Azmi C. Özgen, 2026.
26 675 0.248307567313 Azmi C. Özgen, 2026.
26 676 0.248334094009 Azmi C. Özgen, 2026.
26 677 0.248433721333 Azmi C. Özgen, 2026.
26 678 0.248457939150 Azmi C. Özgen, 2026.
26 679 0.248553782928 Azmi C. Özgen, 2026.
26 680 0.248564338942 Henry Cohn, 2026, needs more optimization.
26 681 0.248573451555 Azmi C. Özgen, 2026.
26 682 0.248644780134 Azmi C. Özgen, 2026.
26 683 0.248746825926 Azmi C. Özgen, 2026.
26 684 0.248747602729 Azmi C. Özgen, 2026.
26 685 0.248824339631 Azmi C. Özgen, 2026.
26 686 0.248919794969 Azmi C. Özgen, 2026.
26 687 0.248932605291 Azmi C. Özgen, 2026.
26 688 0.248963091619 Azmi C. Özgen, 2026.
26 689 0.249002875308 Azmi C. Özgen, 2026.
26 690 0.249008944961 Azmi C. Özgen, 2026.
26 691 0.249011907611 Azmi C. Özgen, 2026.
26 692 0.249057259566 Azmi C. Özgen, 2026.
26 693 0.249086142003 Azmi C. Özgen, 2026.
26 694 0.249097157000 Azmi C. Özgen, 2026.
26 695 0.249106954654 Azmi C. Özgen, 2026.
26 696 0.249112841999 Azmi C. Özgen, 2026.
26 697 0.249157509714 Azmi C. Özgen, 2026.
26 698 0.249196578825 Azmi C. Özgen, 2026.
26 699 0.249259583261 Azmi C. Özgen, 2026.
26 700 0.249259583330 Azmi C. Özgen, 2026.
26 701 0.249342546041 Azmi C. Özgen, 2026.
26 702 0.249375944803 Azmi C. Özgen, 2026.
26 703 0.249407433136 Azmi C. Özgen, 2026.
26 704 0.249422964492 Azmi C. Özgen, 2026.
26 705 0.249460801585 Azmi C. Özgen, 2026.
26 706 0.249478785089 Azmi C. Özgen, 2026.
26 707 0.249542723358 Azmi C. Özgen, 2026.
26 708 0.249562977890 Azmi C. Özgen, 2026.
26 709 0.249585052873 Azmi C. Özgen, 2026.
26 710 0.249606753765 Azmi C. Özgen, 2026.
26 711 0.249635946419 Azmi C. Özgen, 2026.
26 712 0.249649067030 Azmi C. Özgen, 2026.
26 713 0.249664524946 Pavlos Moros, 2026.
26 714 0.249664796546 Azmi C. Özgen, 2026.
26 715 0.249699947058 Azmi C. Özgen, 2026.
26 716 0.249721659830 Azmi C. Özgen, 2026.
26 717 0.249736863985 Azmi C. Özgen, 2026.
26 718 0.249742898198 Azmi C. Özgen, 2026.
26 719 0.249763533383 Azmi C. Özgen, 2026.
26 720 0.249773886429 Azmi C. Özgen, 2026.
26 721 0.249779315544 Azmi C. Özgen, 2026.
26 722 0.249802153604 Azmi C. Özgen, 2026.
26 723 0.249810752636 Azmi C. Özgen, 2026.
26 939 0.25 Kevin Li, 2026.
4⁢x−1
26 940 0.250231808348 Azmi C. Özgen, 2026.
26 941 0.250335028256 Azmi C. Özgen, 2026.
26 942 0.250588665006 Azmi C. Özgen, 2026.
26 943 0.250782259804 Azmi C. Özgen, 2026.
26 944 0.250833615533 Azmi C. Özgen, 2026.
26 945 0.250986354585 Azmi C. Özgen, 2026.
26 946 0.251642018678 Azmi C. Özgen, 2026.
26 947 0.251980744464 Azmi C. Özgen, 2026.
26 948 0.252306198556 Azmi C. Özgen, 2026.
26 949 0.252718440820 Azmi C. Özgen, 2026.
26 950 0.252771568351 Azmi C. Özgen, 2026.
26 951 0.253287090404 Azmi C. Özgen, 2026.
26 952 0.253696678742 Azmi C. Özgen, 2026.
26 953 0.254029297404 Azmi C. Özgen, 2026.
26 954 0.254630281407 Azmi C. Özgen, 2026.
26 955 0.254858278417 Azmi C. Özgen, 2026.
26 956 0.255197288969 Azmi C. Özgen, 2026.
26 957 0.255556226149 Azmi C. Özgen, 2026.
26 958 0.255760142969 Azmi C. Özgen, 2026.
26 959 0.256050411114 Azmi C. Özgen, 2026.
26 960 0.256521297738 Azmi C. Özgen, 2026.
26 961 0.256820232091 Azmi C. Özgen, 2026.
26 962 0.257350269777 Azmi C. Özgen, 2026.
26 963 0.257831858002 Azmi C. Özgen, 2026.
26 964 0.258263045235 Azmi C. Özgen, 2026.
26 965 0.258365743322 Azmi C. Özgen, 2026.
26 966 0.258649645643 Azmi C. Özgen, 2026.
26 967 0.259054002841 Azmi C. Özgen, 2026.
26 968 0.259288845391 Azmi C. Özgen, 2026.
26 973 0.259802829695 Pavlos Moros, 2026.
26 974 0.259802929696 Azmi C. Özgen, 2026.
26 975 0.259802936037 Azmi C. Özgen, 2026.
26 976 0.259813713692 Azmi C. Özgen, 2026.
26 977 0.259839853269 Azmi C. Özgen, 2026.
26 978 0.260412909450 Azmi C. Özgen, 2026.
26 979 0.261899031319 Azmi C. Özgen, 2026.
26 980 0.261901423132 Azmi C. Özgen, 2026.
26 981 0.261902304055 Azmi C. Özgen, 2026.
26 982 0.261902306460 Azmi C. Özgen, 2026.
26 983 0.261902311420 Azmi C. Özgen, 2026.
26 984 0.261902314438 Azmi C. Özgen, 2026.
26 985 0.261902980113 Azmi C. Özgen, 2026.
26 986 0.261906195305 Azmi C. Özgen, 2026.
26 987 0.261906196750 Azmi C. Özgen, 2026.
26 988 0.261906198457 Azmi C. Özgen, 2026.
26 989 0.261906924950 Azmi C. Özgen, 2026.
26 990 0.262130967595 Henry Cohn, 2026, needs more optimization.
26 1024 0.263299316186 Henry Cohn, 2026.
60⁢x2−12⁢x−1
27 55 0.029589200879 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
16875⁢x3−729⁢x2−27⁢x+1
27 56 0.034509985004 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 57 0.039896711768 Henry Cohn, 2026, needs more optimization.
27 58 0.039896802692 Henry Cohn, 2026.
27 59 0.039966776409 Henry Cohn, 2026, needs more optimization.
27 60 0.044785718796 Henry Cohn, 2026, needs more optimization.
27 61 0.045201033609 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 62 0.046029514076 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 63 0.047652441689 Henry Cohn, 2026.
27 64 0.050067815256 Henry Cohn, 2026.
27 67 0.051790463205 Pavlos Moros, 2026.
27 68 0.051797462893 Orthogonal union of 66 points in 26 dimensions and 2 points in 1 dimension.
27 69 0.060739236420 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 70 0.062920512188 Henry Cohn, 2026, needs more optimization.
27 71 0.063925985794 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 72 0.064544780766 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 73 0.065313969297 Azmi C. Özgen, 2026.
27 74 0.066298537397 Henry Cohn, 2026, needs more optimization.
27 75 0.067692400463 Henry Cohn, 2026, needs more optimization.
27 76 0.069936420540 Azmi C. Özgen, 2026.
27 77 0.072325256490 Henry Cohn, 2026, needs more optimization.
27 78 0.073947774097 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 79 0.075140154489 Azmi C. Özgen, 2026.
27 80 0.076100396641 Henry Cohn, 2026, needs more optimization.
27 81 0.076590294576 Henry Cohn, 2026, needs more optimization.
27 82 0.076778465575 Henry Cohn, 2026, needs more optimization.
27 83 0.076799847675 Henry Cohn, 2026, needs more optimization.
27 84 0.076834258077 Henry Cohn, 2026, needs more optimization.
27 85 0.077360414213 Azmi C. Özgen, 2026.
27 86 0.077581191382 Azmi C. Özgen, 2026.
27 87 0.078052817711 Azmi C. Özgen, 2026.
27 88 0.078607188885 Azmi C. Özgen, 2026.
27 89 0.079013115826 Azmi C. Özgen, 2026.
27 90 0.079464011841 Henry Cohn, 2026, needs more optimization.
27 91 0.079784368021 Henry Cohn, 2026, needs more optimization.
27 92 0.080374198772 Azmi C. Özgen, 2026.
27 93 0.080603514329 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 94 0.080669982507 Pavlos Moros, 2026.
27 95 0.080684181553 Henry Cohn, 2026, needs more optimization.
27 98 0.080685003328 Henry Cohn, 2026.
575⁢x2−34⁢x−1
27 99 0.084112497386 Henry Cohn, 2026, needs more optimization.
27 100 0.086219517932 Azmi C. Özgen, 2026.
27 101 0.088058365505 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 102 0.088748226794 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 103 0.088777315935 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 104 0.089035400332 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 105 0.089444154229 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 106 0.089638585526 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 107 0.089640909289 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 108 0.089811748515 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 109 0.090395199106 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 110 0.090552603681 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 111 0.090617926233 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 112 0.090741401880 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 113 0.090777212437 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 114 0.090903863888 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 115 0.092274494633 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 116 0.094743840358 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 117 0.097019128086 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 118 0.099760980934 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 119 0.101957515806 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 120 0.102640924175 Pavlos Moros, 2026.
27 121 0.102992459568 Henry Cohn, 2026, needs more optimization.
27 122 0.103108535790 Henry Cohn, 2026, needs more optimization.
27 125 0.103125332235 Henry Cohn, 2026.
191⁢x2−10⁢x−1
27 126 0.104298452268 Henry Cohn, 2026, needs more optimization.
27 127 0.104909332180 Azmi C. Özgen, 2026.
27 128 0.105445244718 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 129 0.106436976434 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 130 0.107457269027 Pavlos Moros, 2026.
27 131 0.108074891617 Pavlos Moros, 2026.
27 132 0.109177240697 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 133 0.110537544399 Azmi C. Özgen, 2026.
27 134 0.110997449585 Henry Cohn, 2026, needs more optimization.
27 135 0.111004592097 Henry Cohn, 2026, needs more optimization.
27 136 0.111380922969 Azmi C. Özgen, 2026.
27 137 0.112837132464 Azmi C. Özgen, 2026.
27 138 0.114218705717 Azmi C. Özgen, 2026.
27 139 0.114819732964 Azmi C. Özgen, 2026.
27 140 0.115205048507 Azmi C. Özgen, 2026.
27 141 0.116264809698 Azmi C. Özgen, 2026.
27 142 0.117401273948 Azmi C. Özgen, 2026.
27 143 0.119084397339 Azmi C. Özgen, 2026.
27 144 0.120953105769 Azmi C. Özgen, 2026.
27 145 0.123117116380 Azmi C. Özgen, 2026.
27 146 0.125352762447 Azmi C. Özgen, 2026.
27 147 0.127226476984 Azmi C. Özgen, 2026.
27 148 0.128555481017 Azmi C. Özgen, 2026.
27 149 0.129942624027 Azmi C. Özgen, 2026.
27 150 0.131226248589 Azmi C. Özgen, 2026.
27 151 0.131309536550 Azmi C. Özgen, 2026.
27 152 0.131534465091 Azmi C. Özgen, 2026.
27 153 0.131732530244 Azmi C. Özgen, 2026.
27 154 0.131835855476 Azmi C. Özgen, 2026.
27 155 0.131843554279 Azmi C. Özgen, 2026.
27 156 0.132190670920 Azmi C. Özgen, 2026.
27 157 0.132438727080 Azmi C. Özgen, 2026.
27 158 0.132713783336 Azmi C. Özgen, 2026.
27 159 0.132949920845 Azmi C. Özgen, 2026.
27 160 0.133265574560 Henry Cohn, 2026, needs more optimization.
27 161 0.133298667764 Henry Cohn, 2026, needs more optimization.
27 162 0.133314581433 Henry Cohn, 2026, needs more optimization.
27 163 0.133326851843 Azmi C. Özgen, 2026.
27 164 0.133448537959 Azmi C. Özgen, 2026.
27 165 0.134780761688 Henry Cohn, 2026, needs more optimization.
27 166 0.134795254692 Azmi C. Özgen, 2026.
27 167 0.134892322706 Azmi C. Özgen, 2026.
27 168 0.135115244155 Azmi C. Özgen, 2026.
27 169 0.135200400232 Azmi C. Özgen, 2026.
27 170 0.135761420909 Azmi C. Özgen, 2026.
27 171 0.136263334433 Robert Dallara, 2026.
27 172 0.137270414922 Azmi C. Özgen, 2026.
27 173 0.138865770305 Azmi C. Özgen, 2026.
27 174 0.139508394555 Azmi C. Özgen, 2026.
27 175 0.140936180751 Azmi C. Özgen, 2026.
27 176 0.142236932181 Azmi C. Özgen, 2026.
27 177 0.142270664324 Azmi C. Özgen, 2026.
27 178 0.142341439260 Azmi C. Özgen, 2026.
27 179 0.142387807982 Azmi C. Özgen, 2026.
27 180 0.142482385048 Henry Cohn, 2026, needs more optimization.
27 181 0.142505121556 Azmi C. Özgen, 2026.
27 182 0.142539667189 Henry Cohn, 2026, needs more optimization.
27 183 0.142542288708 Azmi C. Özgen, 2026.
27 184 0.142552412292 Azmi C. Özgen, 2026.
27 185 0.142582001547 Azmi C. Özgen, 2026.
27 186 0.142608711168 Azmi C. Özgen, 2026.
27 187 0.142636286358 Azmi C. Özgen, 2026.
27 188 0.142703647187 Henry Cohn, 2026, needs more optimization.
27 189 0.142745725329 Henry Cohn, 2026, needs more optimization.
27 190 0.142750889633 Henry Cohn, 2026, needs more optimization.
27 191 0.142798551087 Azmi C. Özgen, 2026.
27 195 0.142857142858 Kevin Li, 2026.
7⁢x−1
27 196 0.142889658744 Azmi C. Özgen, 2026.
27 197 0.145248575799 Azmi C. Özgen, 2026.
27 198 0.145315070414 Azmi C. Özgen, 2026.
27 199 0.145418880183 Azmi C. Özgen, 2026.
27 200 0.145634168970 Azmi C. Özgen, 2026.
27 201 0.146045949466 Azmi C. Özgen, 2026.
27 202 0.146156880433 Azmi C. Özgen, 2026.
27 203 0.146443588669 Azmi C. Özgen, 2026.
27 204 0.146832199439 Azmi C. Özgen, 2026.
27 205 0.146839108786 Azmi C. Özgen, 2026.
27 206 0.146919582064 Henry Cohn, 2026, needs more optimization.
27 207 0.147326918661 Henry Cohn, 2026, needs more optimization.
27 208 0.147347267026 Azmi C. Özgen, 2026.
27 209 0.147351327618 Azmi C. Özgen, 2026.
27 210 0.147377754788 Azmi C. Özgen, 2026.
27 211 0.147377905212 Azmi C. Özgen, 2026.
27 212 0.147451489922 Henry Cohn, 2026, needs more optimization.
27 215 0.147651517511 Henry Cohn, 2026.
1655⁢x2−136⁢x−16
27 217 0.147955377822 Pavlos Moros, 2026.
27 218 0.148095549820 Azmi C. Özgen, 2026.
27 219 0.149263712084 Azmi C. Özgen, 2026.
27 220 0.149321946825 Henry Cohn, 2026, needs more optimization.
27 223 0.149321963551 Azmi C. Özgen, 2026.
27 224 0.149321968099 Azmi C. Özgen, 2026.
27 225 0.149321968748 Azmi C. Özgen, 2026.
27 226 0.149321969492 Azmi C. Özgen, 2026.
27 227 0.149322097091 Azmi C. Özgen, 2026.
27 228 0.149363522849 Azmi C. Özgen, 2026.
27 229 0.149894680648 Azmi C. Özgen, 2026.
27 230 0.150314302083 Henry Cohn, 2026, needs more optimization.
27 231 0.150361917349 Azmi C. Özgen, 2026.
27 232 0.150651121897 Pavlos Moros, 2026.
27 233 0.151191170382 Azmi C. Özgen, 2026.
27 234 0.152279248093 Azmi C. Özgen, 2026.
27 235 0.152350883900 Azmi C. Özgen, 2026.
27 236 0.153592690587 Azmi C. Özgen, 2026.
27 237 0.155584682655 Azmi C. Özgen, 2026.
27 238 0.157380388558 Azmi C. Özgen, 2026.
27 239 0.157700400121 Azmi C. Özgen, 2026.
27 240 0.158830979234 Azmi C. Özgen, 2026.
27 241 0.159645475191 Azmi C. Özgen, 2026.
27 242 0.160373266080 Azmi C. Özgen, 2026.
27 243 0.161433263631 Henry Cohn, 2026, needs more optimization.
27 244 0.162124040334 Azmi C. Özgen, 2026.
27 245 0.162170192807 Azmi C. Özgen, 2026.
27 246 0.162478047566 Azmi C. Özgen, 2026.
27 247 0.162509005544 Azmi C. Özgen, 2026.
27 250 0.162664008617 Azmi C. Özgen, 2026.
27 251 0.163591468675 Azmi C. Özgen, 2026.
27 252 0.163878201003 Azmi C. Özgen, 2026.
27 253 0.163926866247 Azmi C. Özgen, 2026.
27 254 0.164011175253 Azmi C. Özgen, 2026.
27 255 0.164440245776 Azmi C. Özgen, 2026.
27 256 0.164601961130 Azmi C. Özgen, 2026.
27 257 0.164737949856 Pavlos Moros, 2026.
27 258 0.164981727841 Azmi C. Özgen, 2026.
27 259 0.165073979337 Azmi C. Özgen, 2026.
27 260 0.165192454934 Azmi C. Özgen, 2026.
27 261 0.165323519028 Azmi C. Özgen, 2026.
27 262 0.165458219635 Azmi C. Özgen, 2026.
27 263 0.165542090632 Azmi C. Özgen, 2026.
27 264 0.165674619539 Azmi C. Özgen, 2026.
27 265 0.165747933886 Azmi C. Özgen, 2026.
27 266 0.165808183361 Azmi C. Özgen, 2026.
27 267 0.165876855213 Azmi C. Özgen, 2026.
27 268 0.165935395941 Azmi C. Özgen, 2026.
27 269 0.166016056725 Azmi C. Özgen, 2026.
27 270 0.166124965323 Azmi C. Özgen, 2026.
27 271 0.166241230607 Azmi C. Özgen, 2026.
27 272 0.166285142684 Azmi C. Özgen, 2026.
27 273 0.166308329446 Azmi C. Özgen, 2026.
27 274 0.166340988370 Azmi C. Özgen, 2026.
27 275 0.166347024633 Azmi C. Özgen, 2026.
27 276 0.166425635285 Henry Cohn, 2026, needs more optimization.
27 277 0.166475357018 Azmi C. Özgen, 2026.
27 278 0.166483679790 Azmi C. Özgen, 2026.
27 279 0.166495090492 Azmi C. Özgen, 2026.
27 280 0.166526664101 Azmi C. Özgen, 2026.
27 281 0.166568127386 Azmi C. Özgen, 2026.
27 305 0.166666666667 Kevin Li, 2026.
6⁢x−1
27 306 0.166737827825 Azmi C. Özgen, 2026.
27 307 0.167235530306 Azmi C. Özgen, 2026.
27 308 0.168001365842 Azmi C. Özgen, 2026.
27 309 0.169297211061 Azmi C. Özgen, 2026.
27 310 0.170327672055 Azmi C. Özgen, 2026.
27 311 0.171422428416 Azmi C. Özgen, 2026.
27 312 0.172731761143 Azmi C. Özgen, 2026.
27 313 0.173614132690 Azmi C. Özgen, 2026.
27 314 0.174631083513 Azmi C. Özgen, 2026.
27 315 0.175873170490 Azmi C. Özgen, 2026.
27 316 0.177267227356 Azmi C. Özgen, 2026.
27 317 0.177639324308 Azmi C. Özgen, 2026.
27 318 0.178859956499 Azmi C. Özgen, 2026.
27 319 0.179292327696 Azmi C. Özgen, 2026.
27 320 0.180405022662 Azmi C. Özgen, 2026.
27 321 0.180806678125 Azmi C. Özgen, 2026.
27 322 0.180809226595 Azmi C. Özgen, 2026.
27 323 0.181011088259 Azmi C. Özgen, 2026.
27 324 0.181172336039 Azmi C. Özgen, 2026.
27 325 0.181292161098 Azmi C. Özgen, 2026.
27 326 0.181377481793 Azmi C. Özgen, 2026.
27 327 0.181437998225 Azmi C. Özgen, 2026.
27 328 0.181443525490 Azmi C. Özgen, 2026.
27 329 0.181601224013 Azmi C. Özgen, 2026.
27 330 0.181645708044 Azmi C. Özgen, 2026.
27 331 0.181665573012 Azmi C. Özgen, 2026.
27 332 0.181690678837 Pavlos Moros, 2026.
27 333 0.181738019763 Azmi C. Özgen, 2026.
27 334 0.181757940362 Azmi C. Özgen, 2026.
27 335 0.181779668854 Azmi C. Özgen, 2026.
27 336 0.181782570851 Azmi C. Özgen, 2026.
27 337 0.181809623163 Azmi C. Özgen, 2026.
27 338 0.181822019949 Azmi C. Özgen, 2026.
27 339 0.181869101056 Azmi C. Özgen, 2026.
27 340 0.182142285441 Azmi C. Özgen, 2026.
27 341 0.182652913245 Azmi C. Özgen, 2026.
27 342 0.183375790877 Azmi C. Özgen, 2026.
27 343 0.183964142828 Azmi C. Özgen, 2026.
27 344 0.184441266419 Azmi C. Özgen, 2026.
27 345 0.185413682483 Azmi C. Özgen, 2026.
27 346 0.186190828713 Azmi C. Özgen, 2026.
27 347 0.186513535747 Azmi C. Özgen, 2026.
27 348 0.187153578078 Azmi C. Özgen, 2026.
27 349 0.188014992822 Azmi C. Özgen, 2026.
27 350 0.188471974679 Azmi C. Özgen, 2026.
27 351 0.189168678591 Azmi C. Özgen, 2026.
27 352 0.190205593997 Azmi C. Özgen, 2026.
27 353 0.190790002651 Azmi C. Özgen, 2026.
27 354 0.191677887470 Azmi C. Özgen, 2026.
27 355 0.192475401306 Azmi C. Özgen, 2026.
27 356 0.193114584865 Azmi C. Özgen, 2026.
27 357 0.193769154166 Azmi C. Özgen, 2026.
27 358 0.193810836134 Azmi C. Özgen, 2026.
27 359 0.193968763059 Azmi C. Özgen, 2026.
27 360 0.194431094140 Azmi C. Özgen, 2026.
27 361 0.195568300483 Azmi C. Özgen, 2026.
27 362 0.195709562385 Azmi C. Özgen, 2026.
27 363 0.195849591115 Azmi C. Özgen, 2026.
27 364 0.195999154433 Azmi C. Özgen, 2026.
27 365 0.196010616170 Azmi C. Özgen, 2026.
27 368 0.196103150849 Robert Dallara, 2026.
27 369 0.196433241078 Azmi C. Özgen, 2026.
27 370 0.196506537809 Azmi C. Özgen, 2026.
27 371 0.196659101262 Azmi C. Özgen, 2026.
27 372 0.196702004818 Azmi C. Özgen, 2026.
27 373 0.196823837970 Azmi C. Özgen, 2026.
27 374 0.196942999286 Azmi C. Özgen, 2026.
27 375 0.197050069465 Azmi C. Özgen, 2026.
27 376 0.197125768065 Azmi C. Özgen, 2026.
27 377 0.197315911157 Azmi C. Özgen, 2026.
27 378 0.197436145100 Azmi C. Özgen, 2026.
27 379 0.197550236396 Azmi C. Özgen, 2026.
27 380 0.197638412440 Azmi C. Özgen, 2026.
27 381 0.197849924115 Azmi C. Özgen, 2026.
27 382 0.197878932232 Azmi C. Özgen, 2026.
27 383 0.198005583956 Azmi C. Özgen, 2026.
27 384 0.198016292319 Azmi C. Özgen, 2026.
27 385 0.198135897510 Azmi C. Özgen, 2026.
27 386 0.198273380100 Azmi C. Özgen, 2026.
27 387 0.198304974564 Azmi C. Özgen, 2026.
27 388 0.198430177717 Azmi C. Özgen, 2026.
27 389 0.198517425661 Azmi C. Özgen, 2026.
27 390 0.198642862288 Azmi C. Özgen, 2026.
27 391 0.198706115693 Azmi C. Özgen, 2026.
27 392 0.198734371815 Azmi C. Özgen, 2026.
27 393 0.198800212949 Pavlos Moros, 2026.
27 394 0.198885691044 Azmi C. Özgen, 2026.
27 395 0.198980764165 Azmi C. Özgen, 2026.
27 396 0.199016391096 Azmi C. Özgen, 2026.
27 397 0.199020293644 Azmi C. Özgen, 2026.
27 398 0.199029389007 Azmi C. Özgen, 2026.
27 399 0.199086446245 Azmi C. Özgen, 2026.
27 400 0.199178595022 Azmi C. Özgen, 2026.
27 401 0.199186332517 Azmi C. Özgen, 2026.
27 402 0.199252077632 Azmi C. Özgen, 2026.
27 403 0.199265860255 Azmi C. Özgen, 2026.
27 404 0.199320908647 Azmi C. Özgen, 2026.
27 405 0.199340043099 Azmi C. Özgen, 2026.
27 406 0.199369516094 Azmi C. Özgen, 2026.
27 407 0.199400789813 Azmi C. Özgen, 2026.
27 408 0.199467170128 Azmi C. Özgen, 2026.
27 409 0.199513622976 Azmi C. Özgen, 2026.
27 410 0.199523434579 Azmi C. Özgen, 2026.
27 411 0.199541727077 Azmi C. Özgen, 2026.
27 412 0.199602289048 Azmi C. Özgen, 2026.
27 413 0.199603719054 Azmi C. Özgen, 2026.
27 414 0.199619770907 Azmi C. Özgen, 2026.
27 415 0.199640015695 Azmi C. Özgen, 2026.
27 416 0.199695291665 Azmi C. Özgen, 2026.
27 417 0.199728700099 Azmi C. Özgen, 2026.
27 418 0.199741469991 Azmi C. Özgen, 2026.
27 419 0.199744072428 Azmi C. Özgen, 2026.
27 420 0.199781493337 Azmi C. Özgen, 2026.
27 421 0.199816588359 Azmi C. Özgen, 2026.
27 422 0.199835629865 Azmi C. Özgen, 2026.
27 423 0.199849583692 Azmi C. Özgen, 2026.
27 424 0.199851991343 Azmi C. Özgen, 2026.
27 428 0.199858143983 Robert Dallara, 2026.
27 429 0.199954340284 Henry Cohn, 2026, needs more optimization.
27 430 0.199967339884 Henry Cohn, 2026, needs more optimization.
27 570 0.2 Kevin Li, 2026.
5⁢x−1
27 580 0.2 Henry Cohn, 2026.
5⁢x−1
27 581 0.200124129663 Azmi C. Özgen, 2026.
27 582 0.200659303177 Azmi C. Özgen, 2026.
27 583 0.200926834966 Azmi C. Özgen, 2026.
27 584 0.202068868720 Azmi C. Özgen, 2026.
27 585 0.202421119398 Azmi C. Özgen, 2026.
27 586 0.203475102079 Azmi C. Özgen, 2026.
27 587 0.204308228137 Azmi C. Özgen, 2026.
27 588 0.204787550590 Azmi C. Özgen, 2026.
27 589 0.205476042671 Azmi C. Özgen, 2026.
27 590 0.208015380416 Azmi C. Özgen, 2026.
27 591 0.208991195865 Azmi C. Özgen, 2026.
27 592 0.209970308009 Azmi C. Özgen, 2026.
27 593 0.211319157217 Azmi C. Özgen, 2026.
27 594 0.211330406876 Azmi C. Özgen, 2026.
27 595 0.212651941239 Azmi C. Özgen, 2026.
27 596 0.213503955021 Azmi C. Özgen, 2026.
27 597 0.214360236094 Azmi C. Özgen, 2026.
27 598 0.214792373616 Azmi C. Özgen, 2026.
27 599 0.215706936049 Azmi C. Özgen, 2026.
27 600 0.216612982913 Azmi C. Özgen, 2026.
27 601 0.217218906811 Azmi C. Özgen, 2026.
27 602 0.218126937366 Azmi C. Özgen, 2026.
27 603 0.218967407992 Azmi C. Özgen, 2026.
27 604 0.219806130073 Azmi C. Özgen, 2026.
27 605 0.220791398852 Azmi C. Özgen, 2026.
27 606 0.221591997540 Azmi C. Özgen, 2026.
27 607 0.222007213856 Azmi C. Özgen, 2026.
27 608 0.222836140254 Azmi C. Özgen, 2026.
27 609 0.223688124046 Azmi C. Özgen, 2026.
27 610 0.228059892545 Henry Cohn, 2026, needs more optimization.
27 611 0.229572621730 Henry Cohn, 2026, needs more optimization.
27 612 0.231211909343 Henry Cohn, 2026, needs more optimization.
27 639 0.233711730709 Kevin Li, 2026.
160⁢x2−16⁢x−5
27 666 0.233711730709 Henry Cohn, 2026.
160⁢x2−16⁢x−5
27 667 0.233729533598 Azmi C. Özgen, 2026.
27 668 0.233912546512 Azmi C. Özgen, 2026.
27 669 0.234020938394 Pavlos Moros, 2026.
27 670 0.234021038394 Azmi C. Özgen, 2026.
27 671 0.234148327840 Azmi C. Özgen, 2026.
27 672 0.234382685926 Azmi C. Özgen, 2026.
27 673 0.234786603643 Azmi C. Özgen, 2026.
27 674 0.235121596471 Azmi C. Özgen, 2026.
27 675 0.235551192809 Azmi C. Özgen, 2026.
27 676 0.235649707299 Azmi C. Özgen, 2026.
27 677 0.236189484899 Azmi C. Özgen, 2026.
27 678 0.238226016225 Azmi C. Özgen, 2026.
27 679 0.239582257850 Azmi C. Özgen, 2026.
27 680 0.240328741640 Azmi C. Özgen, 2026.
27 681 0.241454498697 Azmi C. Özgen, 2026.
27 682 0.243579269393 Azmi C. Özgen, 2026.
27 683 0.243591055402 Azmi C. Özgen, 2026.
27 684 0.243598286074 Azmi C. Özgen, 2026.
27 685 0.243601444415 Azmi C. Özgen, 2026.
27 686 0.243601846853 Azmi C. Özgen, 2026.
27 687 0.243683738304 Azmi C. Özgen, 2026.
27 688 0.243922561782 Azmi C. Özgen, 2026.
27 689 0.244078025391 Azmi C. Özgen, 2026.
27 690 0.244190043510 Azmi C. Özgen, 2026.
27 691 0.244341134048 Azmi C. Özgen, 2026.
27 692 0.244604066155 Azmi C. Özgen, 2026.
27 693 0.244886169554 Azmi C. Özgen, 2026.
27 694 0.244986232701 Azmi C. Özgen, 2026.
27 695 0.245243135584 Azmi C. Özgen, 2026.
27 696 0.245360263186 Azmi C. Özgen, 2026.
27 697 0.245422488933 Azmi C. Özgen, 2026.
27 698 0.245524113192 Azmi C. Özgen, 2026.
27 699 0.245691856955 Azmi C. Özgen, 2026.
27 700 0.246006044341 Azmi C. Özgen, 2026.
27 701 0.246199665480 Azmi C. Özgen, 2026.
27 702 0.246300837159 Azmi C. Özgen, 2026.
27 703 0.246341345252 Azmi C. Özgen, 2026.
27 704 0.246563960629 Azmi C. Özgen, 2026.
27 705 0.246578413929 Azmi C. Özgen, 2026.
27 706 0.246742855828 Azmi C. Özgen, 2026.
27 707 0.246750577225 Azmi C. Özgen, 2026.
27 708 0.247017418668 Azmi C. Özgen, 2026.
27 709 0.247106438337 Azmi C. Özgen, 2026.
27 710 0.247106438558 Azmi C. Özgen, 2026.
27 711 0.247240686925 Azmi C. Özgen, 2026.
27 712 0.247282298821 Azmi C. Özgen, 2026.
27 713 0.247394964496 Azmi C. Özgen, 2026.
27 714 0.247430370450 Azmi C. Özgen, 2026.
27 715 0.247459363596 Azmi C. Özgen, 2026.
27 716 0.247682990967 Azmi C. Özgen, 2026.
27 717 0.247687124923 Azmi C. Özgen, 2026.
27 718 0.247740186676 Azmi C. Özgen, 2026.
27 719 0.247746710864 Azmi C. Özgen, 2026.
27 720 0.247806373231 Azmi C. Özgen, 2026.
27 721 0.247906929563 Azmi C. Özgen, 2026.
27 722 0.248003974146 Azmi C. Özgen, 2026.
27 723 0.248111703537 Azmi C. Özgen, 2026.
27 724 0.248228495748 Azmi C. Özgen, 2026.
27 725 0.248235547946 Azmi C. Özgen, 2026.
27 726 0.248340083339 Azmi C. Özgen, 2026.
27 727 0.248408386548 Azmi C. Özgen, 2026.
27 728 0.248412774561 Azmi C. Özgen, 2026.
27 729 0.248510295160 Azmi C. Özgen, 2026.
27 730 0.248549328868 Azmi C. Özgen, 2026.
27 731 0.248640381256 Azmi C. Özgen, 2026.
27 732 0.248657665271 Azmi C. Özgen, 2026.
27 733 0.248731174998 Azmi C. Özgen, 2026.
27 734 0.248792992135 Azmi C. Özgen, 2026.
27 735 0.248890356932 Azmi C. Özgen, 2026.
27 736 0.248890357066 Azmi C. Özgen, 2026.
27 737 0.248948732426 Azmi C. Özgen, 2026.
27 738 0.249002950534 Azmi C. Özgen, 2026.
27 739 0.249087728571 Azmi C. Özgen, 2026.
27 740 0.249093179174 Azmi C. Özgen, 2026.
27 741 0.249126825207 Azmi C. Özgen, 2026.
27 742 0.249215821382 Azmi C. Özgen, 2026.
27 743 0.249226993565 Azmi C. Özgen, 2026.
27 744 0.249254216905 Pavlos Moros, 2026.
27 745 0.249275039937 Pavlos Moros, 2026.
27 746 0.249275139938 Azmi C. Özgen, 2026.
27 747 0.249277647389 Azmi C. Özgen, 2026.
27 748 0.249277647541 Azmi C. Özgen, 2026.
27 749 0.249308620534 Azmi C. Özgen, 2026.
27 750 0.249332428596 Azmi C. Özgen, 2026.
27 751 0.249368955091 Pavlos Moros, 2026.
27 752 0.249370203384 Azmi C. Özgen, 2026.
27 753 0.249393666920 Azmi C. Özgen, 2026.
27 754 0.249456592371 Azmi C. Özgen, 2026.
27 755 0.249484426334 Azmi C. Özgen, 2026.
27 756 0.249526651955 Azmi C. Özgen, 2026.
27 757 0.249541588789 Azmi C. Özgen, 2026.
27 758 0.249542278026 Azmi C. Özgen, 2026.
27 759 0.249620307110 Azmi C. Özgen, 2026.
27 760 0.249628470514 Azmi C. Özgen, 2026.
27 761 0.249628486714 Azmi C. Özgen, 2026.
27 762 0.249651186498 Azmi C. Özgen, 2026.
27 763 0.249668759149 Azmi C. Özgen, 2026.
27 764 0.249696525416 Azmi C. Özgen, 2026.
27 971 0.25 Kevin Li, 2026.
4⁢x−1
27 972 0.251792696721 Azmi C. Özgen, 2026.
27 973 0.251804472744 Azmi C. Özgen, 2026.
27 974 0.252100828116 Azmi C. Özgen, 2026.
27 975 0.252423565246 Azmi C. Özgen, 2026.
27 976 0.252504436282 Azmi C. Özgen, 2026.
27 977 0.253038697668 Azmi C. Özgen, 2026.
27 978 0.253351066649 Azmi C. Özgen, 2026.
27 979 0.253446821858 Azmi C. Özgen, 2026.
27 980 0.254303262456 Azmi C. Özgen, 2026.
27 981 0.254519119906 Azmi C. Özgen, 2026.
27 982 0.254560908190 Azmi C. Özgen, 2026.
27 983 0.254907288716 Azmi C. Özgen, 2026.
27 984 0.255101837029 Azmi C. Özgen, 2026.
27 985 0.255680344124 Azmi C. Özgen, 2026.
27 986 0.255827286831 Azmi C. Özgen, 2026.
27 987 0.256133427500 Azmi C. Özgen, 2026.
27 988 0.256823592841 Azmi C. Özgen, 2026.
27 989 0.257225124725 Azmi C. Özgen, 2026.
27 990 0.257420592621 Azmi C. Özgen, 2026.
27 991 0.258119005301 Azmi C. Özgen, 2026.
27 992 0.258228063020 Azmi C. Özgen, 2026.
27 993 0.258633868882 Azmi C. Özgen, 2026.
27 994 0.258633869132 Azmi C. Özgen, 2026.
27 995 0.259013708841 Azmi C. Özgen, 2026.
27 996 0.259460897832 Azmi C. Özgen, 2026.
27 997 0.259812037478 Azmi C. Özgen, 2026.
27 998 0.259812042058 Azmi C. Özgen, 2026.
27 999 0.260339191605 Azmi C. Özgen, 2026.
27 1000 0.260614014369 Azmi C. Özgen, 2026.
27 1001 0.261145918358 Azmi C. Özgen, 2026.
27 1002 0.261710087109 Azmi C. Özgen, 2026.
27 1003 0.262141039376 Azmi C. Özgen, 2026.
27 1004 0.262451075331 Azmi C. Özgen, 2026.
27 1024 0.263299316186 Code with 1024 points in 26 dimensions.
60⁢x2−12⁢x−1
28 57 0.028627089329 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
18928⁢x3−784⁢x2−28⁢x+1
28 58 0.033333333334 H. Cohn, D. de Laat, and N. Leijenhorst, Optimality of spherical codes via exact semidefinite programming bounds, preprint, 2024, arXiv:2403.16874.
30⁢x−1
28 59 0.039154654978 Pavlos Moros, 2026.
28 60 0.039703378844 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
584⁢x2+2⁢x−1
28 61 0.039748128111 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
28 62 0.044085883757 Azmi C. Özgen, 2026.
28 63 0.044845027070 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 64 0.045330588014 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 65 0.046120041619 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 66 0.047264906913 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 69 0.051759502309 Pavlos Moros, 2026.
28 70 0.051797462893 Orthogonal union of 66 points in 26 dimensions and 4 points in 2 dimensions.
28 71 0.059062187940 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 72 0.060835023563 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 73 0.061917236231 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 74 0.062695841141 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 75 0.064402324597 Henry Cohn, 2026, needs more optimization.
28 76 0.064711751358 Henry Cohn, 2026, needs more optimization.
28 77 0.065907662195 Henry Cohn, 2026, needs more optimization.
28 78 0.067202592064 Azmi C. Özgen, 2026.
28 79 0.069465959676 Azmi C. Özgen, 2026.
28 80 0.070903831678 Azmi C. Özgen, 2026.
28 81 0.072590685434 Azmi C. Özgen, 2026.
28 82 0.074337691888 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 83 0.074820221147 Pavlos Moros, 2026.
28 84 0.075952483304 Henry Cohn, 2026, needs more optimization.
28 85 0.076648204556 Henry Cohn, 2026, needs more optimization.
28 86 0.076754139086 Pavlos Moros, 2026.
28 87 0.076799993641 Henry Cohn, 2026, needs more optimization.
28 88 0.076920728338 Henry Cohn, 2026, needs more optimization.
28 89 0.077191917895 Azmi C. Özgen, 2026.
28 90 0.077489903036 Henry Cohn, 2026, needs more optimization.
28 91 0.078281564565 Azmi C. Özgen, 2026.
28 92 0.078666583173 Azmi C. Özgen, 2026.
28 93 0.079138034042 Azmi C. Özgen, 2026.
28 94 0.079366041498 Henry Cohn, 2026, needs more optimization.
28 95 0.079792956898 Henry Cohn, 2026, needs more optimization.
28 96 0.080066017902 Henry Cohn, 2026, needs more optimization.
28 97 0.080129735758 Azmi C. Özgen, 2026.
28 98 0.080355957754 Pavlos Moros, 2026.
28 99 0.080628081226 Henry Cohn, 2026, needs more optimization.
28 101 0.080685003328 Henry Cohn, 2026.
575⁢x2−34⁢x−1
28 102 0.080895834154 Henry Cohn, 2026, needs more optimization.
28 103 0.083865706958 Azmi C. Özgen, 2026.
28 104 0.084695086895 Henry Cohn, 2026, needs more optimization.
28 105 0.086888736521 Henry Cohn, 2026, needs more optimization.
28 106 0.088246545215 Henry Cohn, 2026, needs more optimization.
28 107 0.088553810157 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 108 0.088787490784 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 109 0.088932605003 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 110 0.089385419801 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 111 0.089487708662 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 112 0.089534762219 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 113 0.089790721709 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 114 0.089906129091 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 115 0.089948882583 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 116 0.090010904560 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 117 0.090758781032 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 118 0.090951875753 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 119 0.093149287430 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 120 0.095104870948 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 121 0.097103226846 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 122 0.098858918619 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 123 0.100616606620 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 124 0.102120218982 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 125 0.102410111265 Henry Cohn, 2026, needs more optimization.
28 127 0.102484734546 Henry Cohn, 2026.
3356⁢x2−100⁢x−25
28 128 0.102995415044 Azmi C. Özgen, 2026.
28 129 0.103072394991 Azmi C. Özgen, 2026.
28 130 0.103118092383 Henry Cohn, 2026, needs more optimization.
28 131 0.104305348490 Henry Cohn, 2026, needs more optimization.
28 132 0.105378991280 Azmi C. Özgen, 2026.
28 133 0.106244704076 Henry Cohn, 2026, needs more optimization.
28 134 0.107678918160 Azmi C. Özgen, 2026.
28 135 0.108052980966 Azmi C. Özgen, 2026.
28 136 0.108958640265 Azmi C. Özgen, 2026.
28 137 0.109711281269 Azmi C. Özgen, 2026.
28 138 0.110875331957 Henry Cohn, 2026, needs more optimization.
28 139 0.110906340925 Henry Cohn, 2026, needs more optimization.
28 140 0.110930452165 Henry Cohn, 2026, needs more optimization.
28 150 0.111111111112 Henry Cohn, 2026.
9⁢x−1
28 151 0.111556075883 Henry Cohn, 2026.
73⁢x2−44⁢x+4
28 152 0.116948610781 Henry Cohn, 2026.
28 153 0.119601963203 Azmi C. Özgen, 2026.
28 154 0.120288523318 Pavlos Moros, 2026.
28 155 0.123978773500 Azmi C. Özgen, 2026.
28 156 0.126321493932 Henry Cohn, 2026, needs more optimization.
28 157 0.127118106394 Pavlos Moros, 2026.
28 158 0.127596635041 Azmi C. Özgen, 2026.
28 159 0.127955011950 Robert Dallara, 2026.
28 182 0.128238684469 Henry Cohn, 2026.
92⁢x2−4⁢x−1
28 183 0.130665724291 Henry Cohn, 2026.
676⁢x4−108⁢x3−56⁢x2+1
28 184 0.141516501874 Azmi C. Özgen, 2026.
28 185 0.142085486045 Azmi C. Özgen, 2026.
28 186 0.142104910367 Azmi C. Özgen, 2026.
28 187 0.142126502430 Azmi C. Özgen, 2026.
28 188 0.142149993247 Azmi C. Özgen, 2026.
28 189 0.142159820715 Azmi C. Özgen, 2026.
28 190 0.142202609578 Azmi C. Özgen, 2026.
28 191 0.142210769008 Azmi C. Özgen, 2026.
28 192 0.142300974095 Azmi C. Özgen, 2026.
28 193 0.142365699287 Azmi C. Özgen, 2026.
28 194 0.142396344776 Azmi C. Özgen, 2026.
28 195 0.142557784858 Azmi C. Özgen, 2026.
28 196 0.142686281250 Henry Cohn, 2026, needs more optimization.
28 197 0.142739263725 Pavlos Moros, 2026.
28 198 0.142762770773 Pavlos Moros, 2026.
28 201 0.142857142858 Kevin Li, 2026.
7⁢x−1
28 203 0.142857142858 Henry Cohn, 2026.
7⁢x−1
28 204 0.143504067176 Azmi C. Özgen, 2026.
28 205 0.145168393234 Azmi C. Özgen, 2026.
28 206 0.145806656225 Azmi C. Özgen, 2026.
28 207 0.145834392773 Azmi C. Özgen, 2026.
28 208 0.145917311544 Azmi C. Özgen, 2026.
28 209 0.145943769382 Azmi C. Özgen, 2026.
28 210 0.146046832637 Azmi C. Özgen, 2026.
28 211 0.146205265299 Azmi C. Özgen, 2026.
28 212 0.146378102229 Henry Cohn, 2026, needs more optimization.
28 213 0.146808768633 Azmi C. Özgen, 2026.
28 214 0.146955742422 Azmi C. Özgen, 2026.
28 215 0.147004254982 Azmi C. Özgen, 2026.
28 216 0.147081356344 Azmi C. Özgen, 2026.
28 217 0.147168625711 Azmi C. Özgen, 2026.
28 218 0.147293185968 Azmi C. Özgen, 2026.
28 219 0.147293427289 Azmi C. Özgen, 2026.
28 220 0.147294717768 Azmi C. Özgen, 2026.
28 221 0.147306364792 Azmi C. Özgen, 2026.
28 222 0.147506607099 Azmi C. Özgen, 2026.
28 223 0.147506747730 Azmi C. Özgen, 2026.
28 224 0.147518347764 Azmi C. Özgen, 2026.
28 226 0.147664433105 Azmi C. Özgen, 2026.
28 227 0.147682568366 Azmi C. Özgen, 2026.
28 228 0.147852514644 Azmi C. Özgen, 2026.
28 229 0.148206760148 Azmi C. Özgen, 2026.
28 230 0.148857890962 Azmi C. Özgen, 2026.
28 231 0.148995808119 Azmi C. Özgen, 2026.
28 232 0.148998862120 Pavlos Moros, 2026.
28 233 0.149188724183 Azmi C. Özgen, 2026.
28 234 0.149236302870 Azmi C. Özgen, 2026.
28 235 0.149313030295 Henry Cohn, 2026, needs more optimization.
28 236 0.149321969892 Henry Cohn, 2026, needs more optimization.
28 237 0.149321969906 Henry Cohn, 2026, needs more optimization.
28 238 0.149322069316 Azmi C. Özgen, 2026.
28 239 0.149335201853 Azmi C. Özgen, 2026.
28 240 0.149904480231 Azmi C. Özgen, 2026.
28 241 0.150628394552 Azmi C. Özgen, 2026.
28 242 0.151550037612 Robert Dallara, 2026.
28 243 0.152477109284 Azmi C. Özgen, 2026.
28 244 0.154123890473 Azmi C. Özgen, 2026.
28 245 0.155214389571 Azmi C. Özgen, 2026.
28 246 0.156912473111 Azmi C. Özgen, 2026.
28 247 0.157034880911 Henry Cohn, 2026, needs more optimization.
28 248 0.157615585154 Azmi C. Özgen, 2026.
28 249 0.158605799459 Azmi C. Özgen, 2026.
28 250 0.159955112717 Azmi C. Özgen, 2026.
28 251 0.161221111463 Azmi C. Özgen, 2026.
28 252 0.161998705320 Azmi C. Özgen, 2026.
28 253 0.162021165362 Azmi C. Özgen, 2026.
28 254 0.162029749983 Azmi C. Özgen, 2026.
28 255 0.162126398227 Azmi C. Özgen, 2026.
28 256 0.162312085601 Azmi C. Özgen, 2026.
28 257 0.162617872962 Azmi C. Özgen, 2026.
28 258 0.162855685789 Azmi C. Özgen, 2026.
28 259 0.163013033682 Azmi C. Özgen, 2026.
28 260 0.163341698636 Azmi C. Özgen, 2026.
28 261 0.163564589531 Azmi C. Özgen, 2026.
28 262 0.163593054221 Azmi C. Özgen, 2026.
28 263 0.163799313015 Azmi C. Özgen, 2026.
28 264 0.164048560004 Azmi C. Özgen, 2026.
28 265 0.164233906290 Azmi C. Özgen, 2026.
28 266 0.164250753354 Azmi C. Özgen, 2026.
28 267 0.164410911947 Azmi C. Özgen, 2026.
28 268 0.164574882695 Azmi C. Özgen, 2026.
28 269 0.164681757600 Azmi C. Özgen, 2026.
28 270 0.164791990312 Azmi C. Özgen, 2026.
28 271 0.164844231279 Azmi C. Özgen, 2026.
28 272 0.165005136244 Azmi C. Özgen, 2026.
28 273 0.165093239331 Azmi C. Özgen, 2026.
28 274 0.165209293405 Azmi C. Özgen, 2026.
28 275 0.165248433714 Azmi C. Özgen, 2026.
28 276 0.165384562707 Azmi C. Özgen, 2026.
28 277 0.165433858116 Azmi C. Özgen, 2026.
28 278 0.165511987692 Azmi C. Özgen, 2026.
28 279 0.165577379382 Azmi C. Özgen, 2026.
28 280 0.165621112487 Azmi C. Özgen, 2026.
28 281 0.165651298436 Azmi C. Özgen, 2026.
28 282 0.165695987097 Azmi C. Özgen, 2026.
28 283 0.165771363972 Azmi C. Özgen, 2026.
28 284 0.165818572215 Azmi C. Özgen, 2026.
28 285 0.165857147516 Azmi C. Özgen, 2026.
28 286 0.165979921343 Azmi C. Özgen, 2026.
28 287 0.166012122198 Azmi C. Özgen, 2026.
28 288 0.166111551479 Azmi C. Özgen, 2026.
28 289 0.166203126702 Azmi C. Özgen, 2026.
28 290 0.166207184507 Azmi C. Özgen, 2026.
28 291 0.166252323421 Azmi C. Özgen, 2026.
28 292 0.166277092922 Azmi C. Özgen, 2026.
28 293 0.166322188502 Azmi C. Özgen, 2026.
28 294 0.166355578460 Azmi C. Özgen, 2026.
28 295 0.166359469921 Azmi C. Özgen, 2026.
28 296 0.166372098468 Azmi C. Özgen, 2026.
28 297 0.166420418047 Azmi C. Özgen, 2026.
28 298 0.166450102592 Azmi C. Özgen, 2026.
28 299 0.166477089355 Azmi C. Özgen, 2026.
28 300 0.166489226469 Azmi C. Özgen, 2026.
28 301 0.166522006164 Azmi C. Özgen, 2026.
28 302 0.166546070698 Azmi C. Özgen, 2026.
28 303 0.166660004289 Azmi C. Özgen, 2026.
28 304 0.166660368228 Azmi C. Özgen, 2026.
28 305 0.166660747930 Azmi C. Özgen, 2026.
28 306 0.166661210744 Azmi C. Özgen, 2026.
28 307 0.166661791178 Pavlos Moros, 2026.
28 315 0.166666666667 Kevin Li, 2026.
6⁢x−1
28 330 0.166666666667 Henry Cohn, 2026.
6⁢x−1
28 331 0.168653785328 Azmi C. Özgen, 2026.
28 332 0.168926831424 Azmi C. Özgen, 2026.
28 333 0.170669313593 Azmi C. Özgen, 2026.
28 334 0.171269306918 Azmi C. Özgen, 2026.
28 335 0.171349472281 Azmi C. Özgen, 2026.
28 336 0.171393525850 Azmi C. Özgen, 2026.
28 337 0.171499880631 Azmi C. Özgen, 2026.
28 338 0.171550453254 Azmi C. Özgen, 2026.
28 339 0.172371511106 Azmi C. Özgen, 2026.
28 340 0.175759073807 Azmi C. Özgen, 2026.
28 341 0.176083295474 Azmi C. Özgen, 2026.
28 342 0.178367046343 Azmi C. Özgen, 2026.
28 343 0.180569318131 Azmi C. Özgen, 2026.
28 344 0.181545559776 Azmi C. Özgen, 2026.
28 345 0.181548576765 Azmi C. Özgen, 2026.
28 346 0.181646969779 Azmi C. Özgen, 2026.
28 347 0.181648049799 Azmi C. Özgen, 2026.
28 348 0.181756701364 Azmi C. Özgen, 2026.
28 349 0.181814930035 Azmi C. Özgen, 2026.
28 350 0.181834448620 Azmi C. Özgen, 2026.
28 351 0.181944239478 Azmi C. Özgen, 2026.
28 352 0.182287804779 Azmi C. Özgen, 2026.
28 353 0.182530654855 Azmi C. Özgen, 2026.
28 354 0.183446061712 Azmi C. Özgen, 2026.
28 355 0.183958007396 Azmi C. Özgen, 2026.
28 356 0.184505361743 Azmi C. Özgen, 2026.
28 357 0.184964355075 Azmi C. Özgen, 2026.
28 358 0.185523867458 Azmi C. Özgen, 2026.
28 359 0.185935236467 Azmi C. Özgen, 2026.
28 360 0.186352747532 Azmi C. Özgen, 2026.
28 361 0.187033530950 Azmi C. Özgen, 2026.
28 362 0.187800412933 Azmi C. Özgen, 2026.
28 363 0.188204019575 Azmi C. Özgen, 2026.
28 364 0.190851833003 Azmi C. Özgen, 2026.
28 365 0.192281987883 Azmi C. Özgen, 2026.
28 366 0.192380278863 Azmi C. Özgen, 2026.
28 367 0.192527687074 Azmi C. Özgen, 2026.
28 368 0.192743635491 Azmi C. Özgen, 2026.
28 369 0.193062675463 Azmi C. Özgen, 2026.
28 370 0.193143092011 Azmi C. Özgen, 2026.
28 371 0.193555743611 Azmi C. Özgen, 2026.
28 372 0.193662524915 Azmi C. Özgen, 2026.
28 373 0.193834184157 Azmi C. Özgen, 2026.
28 374 0.193930300273 Azmi C. Özgen, 2026.
28 375 0.194092097905 Azmi C. Özgen, 2026.
28 376 0.194322863904 Azmi C. Özgen, 2026.
28 377 0.194468157966 Azmi C. Özgen, 2026.
28 378 0.194680128659 Azmi C. Özgen, 2026.
28 379 0.194788684032 Azmi C. Özgen, 2026.
28 380 0.195011496989 Azmi C. Özgen, 2026.
28 381 0.195228937545 Azmi C. Özgen, 2026.
28 382 0.195437573586 Azmi C. Özgen, 2026.
28 383 0.195680642511 Azmi C. Özgen, 2026.
28 384 0.195772389212 Pavlos Moros, 2026.
28 385 0.195879501160 Azmi C. Özgen, 2026.
28 386 0.195933771275 Azmi C. Özgen, 2026.
28 387 0.196142260082 Azmi C. Özgen, 2026.
28 388 0.196246184022 Azmi C. Özgen, 2026.
28 389 0.196367638174 Azmi C. Özgen, 2026.
28 390 0.196369684179 Robert Dallara, 2026.
28 391 0.196674123809 Azmi C. Özgen, 2026.
28 392 0.196717399505 Azmi C. Özgen, 2026.
28 393 0.196834840776 Azmi C. Özgen, 2026.
28 394 0.197030709039 Azmi C. Özgen, 2026.
28 395 0.197078241232 Azmi C. Özgen, 2026.
28 396 0.197100353027 Azmi C. Özgen, 2026.
28 397 0.197160175663 Azmi C. Özgen, 2026.
28 398 0.197254960424 Azmi C. Özgen, 2026.
28 399 0.197372461273 Azmi C. Özgen, 2026.
28 400 0.197490306022 Azmi C. Özgen, 2026.
28 401 0.197634147869 Azmi C. Özgen, 2026.
28 402 0.197721680737 Azmi C. Özgen, 2026.
28 403 0.197831564913 Azmi C. Özgen, 2026.
28 404 0.197929171753 Azmi C. Özgen, 2026.
28 405 0.197951519622 Azmi C. Özgen, 2026.
28 406 0.197963916367 Azmi C. Özgen, 2026.
28 407 0.198095006688 Azmi C. Özgen, 2026.
28 408 0.198231813937 Azmi C. Özgen, 2026.
28 409 0.198263306383 Azmi C. Özgen, 2026.
28 410 0.198371387648 Azmi C. Özgen, 2026.
28 411 0.198388962372 Azmi C. Özgen, 2026.
28 412 0.198405902389 Azmi C. Özgen, 2026.
28 413 0.198447141751 Azmi C. Özgen, 2026.
28 414 0.198555356966 Azmi C. Özgen, 2026.
28 415 0.198599631707 Azmi C. Özgen, 2026.
28 416 0.198713847895 Azmi C. Özgen, 2026.
28 417 0.198722975942 Azmi C. Özgen, 2026.
28 418 0.198818885866 Azmi C. Özgen, 2026.
28 419 0.198878181428 Azmi C. Özgen, 2026.
28 420 0.198887642924 Azmi C. Özgen, 2026.
28 421 0.198925765888 Azmi C. Özgen, 2026.
28 422 0.198973602645 Azmi C. Özgen, 2026.
28 423 0.199033917806 Azmi C. Özgen, 2026.
28 424 0.199087124190 Azmi C. Özgen, 2026.
28 425 0.199100029341 Azmi C. Özgen, 2026.
28 426 0.199111967104 Azmi C. Özgen, 2026.
28 427 0.199211459332 Azmi C. Özgen, 2026.
28 428 0.199228242153 Azmi C. Özgen, 2026.
28 429 0.199247176429 Azmi C. Özgen, 2026.
28 430 0.199306836174 Azmi C. Özgen, 2026.
28 431 0.199354483576 Azmi C. Özgen, 2026.
28 432 0.199391496314 Azmi C. Özgen, 2026.
28 433 0.199396039987 Azmi C. Özgen, 2026.
28 434 0.199445998890 Azmi C. Özgen, 2026.
28 435 0.199480412295 Azmi C. Özgen, 2026.
28 436 0.199495848497 Azmi C. Özgen, 2026.
28 437 0.199502244344 Azmi C. Özgen, 2026.
28 438 0.199552710627 Azmi C. Özgen, 2026.
28 439 0.199575698119 Azmi C. Özgen, 2026.
28 440 0.199592090649 Azmi C. Özgen, 2026.
28 441 0.199614372023 Azmi C. Özgen, 2026.
28 442 0.199633402592 Azmi C. Özgen, 2026.
28 443 0.199650773539 Azmi C. Özgen, 2026.
28 444 0.199654861579 Azmi C. Özgen, 2026.
28 445 0.199674792714 Azmi C. Özgen, 2026.
28 446 0.199717057296 Azmi C. Özgen, 2026.
28 447 0.199748034699 Azmi C. Özgen, 2026.
28 448 0.199750049837 Azmi C. Özgen, 2026.
28 449 0.199786135952 Azmi C. Özgen, 2026.
28 450 0.199798263043 Azmi C. Özgen, 2026.
28 451 0.199803158734 Azmi C. Özgen, 2026.
28 452 0.199820639381 Azmi C. Özgen, 2026.
28 453 0.199821971289 Azmi C. Özgen, 2026.
28 454 0.199824084480 Azmi C. Özgen, 2026.
28 455 0.199838412908 Pavlos Moros, 2026.
28 456 0.199848164781 Azmi C. Özgen, 2026.
28 457 0.199858860372 Azmi C. Özgen, 2026.
28 458 0.199871252817 Azmi C. Özgen, 2026.
28 459 0.199873070897 Azmi C. Özgen, 2026.
28 460 0.199894339929 Azmi C. Özgen, 2026.
28 461 0.199894519094 Azmi C. Özgen, 2026.
28 462 0.199944588092 Henry Cohn, 2026, needs more optimization.
28 577 0.2 Kevin Li, 2026.
5⁢x−1
28 591 0.2 Henry Cohn, 2026.
5⁢x−1
28 592 0.200121120785 Robert Dallara, 2026.
28 593 0.200525379514 Azmi C. Özgen, 2026.
28 594 0.200746032971 Azmi C. Özgen, 2026.
28 595 0.201142787426 Azmi C. Özgen, 2026.
28 596 0.201764766938 Azmi C. Özgen, 2026.
28 597 0.202325062681 Azmi C. Özgen, 2026.
28 598 0.202635224001 Azmi C. Özgen, 2026.
28 599 0.203517293824 Azmi C. Özgen, 2026.
28 600 0.203942857758 Azmi C. Özgen, 2026.
28 601 0.204561425332 Azmi C. Özgen, 2026.
28 602 0.205577464115 Azmi C. Özgen, 2026.
28 603 0.205922461757 Azmi C. Özgen, 2026.
28 604 0.206717354413 Azmi C. Özgen, 2026.
28 605 0.207225358236 Azmi C. Özgen, 2026.
28 606 0.207827750097 Azmi C. Özgen, 2026.
28 607 0.208660446199 Azmi C. Özgen, 2026.
28 608 0.209670856646 Azmi C. Özgen, 2026.
28 609 0.210619907400 Azmi C. Özgen, 2026.
28 610 0.211006319399 Azmi C. Özgen, 2026.
28 611 0.211566619678 Azmi C. Özgen, 2026.
28 612 0.212408534343 Azmi C. Özgen, 2026.
28 613 0.212977021679 Azmi C. Özgen, 2026.
28 614 0.213825465816 Azmi C. Özgen, 2026.
28 615 0.214612644846 Azmi C. Özgen, 2026.
28 616 0.215380315598 Azmi C. Özgen, 2026.
28 617 0.216036610717 Azmi C. Özgen, 2026.
28 618 0.216584769921 Azmi C. Özgen, 2026.
28 619 0.217280438953 Azmi C. Özgen, 2026.
28 620 0.217919820439 Azmi C. Özgen, 2026.
28 621 0.218470012649 Azmi C. Özgen, 2026.
28 622 0.219035560285 Azmi C. Özgen, 2026.
28 623 0.219713623387 Azmi C. Özgen, 2026.
28 624 0.220322971158 Azmi C. Özgen, 2026.
28 625 0.220554411971 Azmi C. Özgen, 2026.
28 626 0.220562626101 Azmi C. Özgen, 2026.
28 627 0.220571113625 Azmi C. Özgen, 2026.
28 628 0.221068507803 Azmi C. Özgen, 2026.
28 629 0.221525107244 Azmi C. Özgen, 2026.
28 630 0.222184243854 Azmi C. Özgen, 2026.
28 631 0.222527830888 Azmi C. Özgen, 2026.
28 632 0.223012391499 Azmi C. Özgen, 2026.
28 633 0.223384229853 Azmi C. Özgen, 2026.
28 634 0.223862690290 Azmi C. Özgen, 2026.
28 635 0.224244738092 Azmi C. Özgen, 2026.
28 636 0.224807869265 Azmi C. Özgen, 2026.
28 637 0.225272484408 Azmi C. Özgen, 2026.
28 638 0.225684754763 Azmi C. Özgen, 2026.
28 639 0.225998623423 Azmi C. Özgen, 2026.
28 640 0.226423018377 Azmi C. Özgen, 2026.
28 641 0.226751978635 Azmi C. Özgen, 2026.
28 642 0.227158239896 Azmi C. Özgen, 2026.
28 643 0.227525752751 Azmi C. Özgen, 2026.
28 644 0.227772325267 Azmi C. Özgen, 2026.
28 645 0.228093913816 Azmi C. Özgen, 2026.
28 646 0.228448803855 Azmi C. Özgen, 2026.
28 647 0.228931912920 Azmi C. Özgen, 2026.
28 648 0.229346218389 Azmi C. Özgen, 2026.
28 649 0.229767219719 Azmi C. Özgen, 2026.
28 650 0.229989034196 Azmi C. Özgen, 2026.
28 651 0.230310190205 Azmi C. Özgen, 2026.
28 652 0.230578286105 Azmi C. Özgen, 2026.
28 653 0.230849806465 Azmi C. Özgen, 2026.
28 654 0.231079649344 Azmi C. Özgen, 2026.
28 655 0.231385029530 Azmi C. Özgen, 2026.
28 656 0.231693052400 Azmi C. Özgen, 2026.
28 657 0.232003787410 Azmi C. Özgen, 2026.
28 658 0.232289620124 Azmi C. Özgen, 2026.
28 659 0.232480923399 Azmi C. Özgen, 2026.
28 660 0.232722935587 Azmi C. Özgen, 2026.
28 661 0.232959238529 Azmi C. Özgen, 2026.
28 662 0.233204903258 Azmi C. Özgen, 2026.
28 689 0.233711730622 Henry Cohn, 2026, needs more optimization.
28 690 0.233752322959 Azmi C. Özgen, 2026.
28 691 0.233771203238 Azmi C. Özgen, 2026.
28 692 0.233832071814 Azmi C. Özgen, 2026.
28 693 0.233908548151 Azmi C. Özgen, 2026.
28 694 0.235548512382 Azmi C. Özgen, 2026.
28 695 0.236315587741 Azmi C. Özgen, 2026.
28 696 0.237002629359 Azmi C. Özgen, 2026.
28 697 0.237957057107 Azmi C. Özgen, 2026.
28 698 0.239604520058 Azmi C. Özgen, 2026.
28 699 0.239609245080 Azmi C. Özgen, 2026.
28 700 0.239921056237 Azmi C. Özgen, 2026.
28 701 0.240074923570 Azmi C. Özgen, 2026.
28 702 0.240078705223 Azmi C. Özgen, 2026.
28 703 0.240254562106 Azmi C. Özgen, 2026.
28 704 0.240366683494 Azmi C. Özgen, 2026.
28 705 0.240583068164 Azmi C. Özgen, 2026.
28 706 0.240815575469 Azmi C. Özgen, 2026.
28 707 0.240893287044 Azmi C. Özgen, 2026.
28 708 0.241061453727 Azmi C. Özgen, 2026.
28 709 0.241065138876 Azmi C. Özgen, 2026.
28 710 0.241229938876 Azmi C. Özgen, 2026.
28 711 0.241645210996 Azmi C. Özgen, 2026.
28 712 0.241973623896 Azmi C. Özgen, 2026.
28 713 0.242153977553 Azmi C. Özgen, 2026.
28 714 0.242325821877 Azmi C. Özgen, 2026.
28 715 0.242404116056 Azmi C. Özgen, 2026.
28 716 0.242532565586 Azmi C. Özgen, 2026.
28 717 0.242639788633 Azmi C. Özgen, 2026.
28 718 0.242859486555 Azmi C. Özgen, 2026.
28 719 0.243052844133 Azmi C. Özgen, 2026.
28 720 0.243158532603 Azmi C. Özgen, 2026.
28 721 0.243161940920 Azmi C. Özgen, 2026.
28 722 0.243665520054 Azmi C. Özgen, 2026.
28 723 0.244873366390 Azmi C. Özgen, 2026.
28 724 0.245371383322 Azmi C. Özgen, 2026.
28 725 0.246292504143 Azmi C. Özgen, 2026.
28 726 0.247433042957 Azmi C. Özgen, 2026.
28 727 0.247449893813 Azmi C. Özgen, 2026.
28 728 0.247478614426 Azmi C. Özgen, 2026.
28 729 0.247561326880 Henry Cohn, 2026, needs more optimization.
28 730 0.247561327075 Azmi C. Özgen, 2026.
28 740 0.247570784790 Robert Dallara, 2026.
28 741 0.248055693318 Azmi C. Özgen, 2026.
28 742 0.248091280417 Azmi C. Özgen, 2026.
28 743 0.248121272250 Azmi C. Özgen, 2026.
28 744 0.248183276469 Azmi C. Özgen, 2026.
28 745 0.248227355161 Azmi C. Özgen, 2026.
28 746 0.248240608036 Azmi C. Özgen, 2026.
28 747 0.248292092615 Azmi C. Özgen, 2026.
28 748 0.248298572904 Azmi C. Özgen, 2026.
28 749 0.248363300676 Azmi C. Özgen, 2026.
28 750 0.248412507084 Azmi C. Özgen, 2026.
28 751 0.248461604182 Azmi C. Özgen, 2026.
28 752 0.248503436369 Azmi C. Özgen, 2026.
28 753 0.248557510389 Azmi C. Özgen, 2026.
28 754 0.248611951847 Azmi C. Özgen, 2026.
28 755 0.248632690260 Azmi C. Özgen, 2026.
28 756 0.248650573706 Azmi C. Özgen, 2026.
28 757 0.248698333860 Azmi C. Özgen, 2026.
28 758 0.248743903493 Pavlos Moros, 2026.
28 759 0.248744010120 Azmi C. Özgen, 2026.
28 760 0.248778777197 Azmi C. Özgen, 2026.
28 761 0.248832076836 Azmi C. Özgen, 2026.
28 762 0.248855749579 Azmi C. Özgen, 2026.
28 763 0.248869966707 Pavlos Moros, 2026.
28 764 0.248912475891 Azmi C. Özgen, 2026.
28 765 0.248935639520 Azmi C. Özgen, 2026.
28 766 0.248990906250 Azmi C. Özgen, 2026.
28 767 0.249030015537 Azmi C. Özgen, 2026.
28 768 0.249050763508 Azmi C. Özgen, 2026.
28 769 0.249078194939 Azmi C. Özgen, 2026.
28 770 0.249084735259 Azmi C. Özgen, 2026.
28 771 0.249086357553 Azmi C. Özgen, 2026.
28 772 0.249128506450 Azmi C. Özgen, 2026.
28 773 0.249168136638 Azmi C. Özgen, 2026.
28 774 0.249190752744 Azmi C. Özgen, 2026.
28 775 0.249198784406 Azmi C. Özgen, 2026.
28 776 0.249223877377 Azmi C. Özgen, 2026.
28 777 0.249246435273 Azmi C. Özgen, 2026.
28 778 0.249271384339 Azmi C. Özgen, 2026.
28 779 0.249276801527 Azmi C. Özgen, 2026.
28 780 0.249288657795 Azmi C. Özgen, 2026.
28 781 0.249313134299 Azmi C. Özgen, 2026.
28 782 0.249353498640 Azmi C. Özgen, 2026.
28 783 0.249358372288 Azmi C. Özgen, 2026.
28 784 0.249376157792 Azmi C. Özgen, 2026.
28 785 0.249387768432 Azmi C. Özgen, 2026.
28 786 0.249387768546 Henry Cohn, 2026, needs more optimization.
28 787 0.249387778619 Azmi C. Özgen, 2026.
28 788 0.249410417520 Azmi C. Özgen, 2026.
28 789 0.249429065437 Azmi C. Özgen, 2026.
28 790 0.249443494242 Azmi C. Özgen, 2026.
28 791 0.249443505662 Azmi C. Özgen, 2026.
28 792 0.249447033091 Azmi C. Özgen, 2026.
28 793 0.249461147375 Azmi C. Özgen, 2026.
28 794 0.249498743612 Azmi C. Özgen, 2026.
28 795 0.249509951233 Azmi C. Özgen, 2026.
28 796 0.249513499537 Azmi C. Özgen, 2026.
28 797 0.249530310493 Azmi C. Özgen, 2026.
28 798 0.249551070189 Azmi C. Özgen, 2026.
28 799 0.249551085147 Azmi C. Özgen, 2026.
28 800 0.249580641337 Azmi C. Özgen, 2026.
28 801 0.249580651990 Azmi C. Özgen, 2026.
28 802 0.249583435539 Azmi C. Özgen, 2026.
28 803 0.249592693321 Azmi C. Özgen, 2026.
28 804 0.249594083870 Azmi C. Özgen, 2026.
28 805 0.249624864468 Azmi C. Özgen, 2026.
28 806 0.249624873279 Azmi C. Özgen, 2026.
28 807 0.249647635488 Azmi C. Özgen, 2026.
28 808 0.249647635540 Azmi C. Özgen, 2026.
28 809 0.249647647012 Azmi C. Özgen, 2026.
28 810 0.249662084283 Azmi C. Özgen, 2026.
28 811 0.249675054780 Azmi C. Özgen, 2026.
28 812 0.249693430274 Azmi C. Özgen, 2026.
28 813 0.249697480754 Azmi C. Özgen, 2026.
28 814 0.249697487262 Azmi C. Özgen, 2026.
28 815 0.249697493767 Azmi C. Özgen, 2026.
28 816 0.249713874432 Azmi C. Özgen, 2026.
28 817 0.249739867122 Azmi C. Özgen, 2026.
28 818 0.249739875179 Azmi C. Özgen, 2026.
28 819 0.249741632599 Azmi C. Özgen, 2026.
28 820 0.249741638606 Azmi C. Özgen, 2026.
28 821 0.249752639507 Azmi C. Özgen, 2026.
28 822 0.249770853606 Azmi C. Özgen, 2026.
28 823 0.249783023856 Azmi C. Özgen, 2026.
28 824 0.249791058950 Azmi C. Özgen, 2026.
28 825 0.249791066832 Azmi C. Özgen, 2026.
28 1011 0.25 Kevin Li, 2026.
4⁢x−1
28 1012 0.250630262395 Azmi C. Özgen, 2026.
28 1013 0.250870130809 Azmi C. Özgen, 2026.
28 1014 0.251109421896 Azmi C. Özgen, 2026.
28 1015 0.251218130941 Azmi C. Özgen, 2026.
28 1016 0.251563349832 Azmi C. Özgen, 2026.
28 1017 0.251818521401 Azmi C. Özgen, 2026.
28 1018 0.252172717551 Azmi C. Özgen, 2026.
28 1019 0.252491616657 Azmi C. Özgen, 2026.
28 1020 0.252783953970 Azmi C. Özgen, 2026.
28 1021 0.252907056259 Azmi C. Özgen, 2026.
28 1022 0.253022605225 Azmi C. Özgen, 2026.
28 1023 0.253312248989 Azmi C. Özgen, 2026.
28 1024 0.253626800027 Azmi C. Özgen, 2026.
29 59 0.027727451354 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
21141⁢x3−841⁢x2−29⁢x+1
29 60 0.032282791684 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 61 0.038074677873 Henry Cohn, 2026, needs more optimization.
29 62 0.038918955727 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 63 0.039552183365 Henry Cohn, 2026.
224624⁢x4+24312⁢x3+287⁢x2−38⁢x−1
29 64 0.043272075045 Henry Cohn, 2026.
29 65 0.044519815142 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 66 0.044587130463 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 67 0.044624391459 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 68 0.046023717623 Henry Cohn, 2026.
29 69 0.049612366106 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 70 0.049845182464 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 71 0.051511067206 Pavlos Moros, 2026.
29 72 0.051797462893 Azmi C. Özgen, 2026.
29 73 0.057482024267 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 74 0.058935627645 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 75 0.060441863195 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 76 0.061466497280 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 77 0.063060598750 Azmi C. Özgen, 2026.
29 78 0.063546098480 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 79 0.063943801621 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 80 0.065656892089 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 81 0.066913334526 Azmi C. Özgen, 2026.
29 82 0.068547694244 Henry Cohn, 2026, needs more optimization.
29 83 0.070355413136 Henry Cohn, 2026, needs more optimization.
29 84 0.072118320579 Azmi C. Özgen, 2026.
29 85 0.073285636207 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 86 0.074201966329 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 87 0.075178073621 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 88 0.075900500935 Pavlos Moros, 2026.
29 89 0.076432617937 Henry Cohn, 2026, needs more optimization.
29 90 0.076725233813 Azmi C. Özgen, 2026.
29 91 0.076950752944 Henry Cohn, 2026, needs more optimization.
29 92 0.077121866809 Azmi C. Özgen, 2026.
29 93 0.077122857717 Azmi C. Özgen, 2026.
29 94 0.077795466275 Azmi C. Özgen, 2026.
29 95 0.077852562083 Pavlos Moros, 2026.
29 96 0.078168008709 Azmi C. Özgen, 2026.
29 97 0.078628973683 Azmi C. Özgen, 2026.
29 98 0.078644933859 Azmi C. Özgen, 2026.
29 99 0.079076875051 Azmi C. Özgen, 2026.
29 100 0.079319391544 Pavlos Moros, 2026.
29 101 0.080084855616 Azmi C. Özgen, 2026.
29 102 0.080258137137 Henry Cohn, 2026, needs more optimization.
29 103 0.080647606869 Henry Cohn, 2026, needs more optimization.
29 104 0.080662618816 Henry Cohn, 2026, needs more optimization.
29 105 0.080684994044 Henry Cohn, 2026, needs more optimization.
29 106 0.081926033234 Azmi C. Özgen, 2026.
29 107 0.082780285565 Henry Cohn, 2026, needs more optimization.
29 108 0.084639570165 Azmi C. Özgen, 2026.
29 112 0.086333380579 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001, Example 5.10.1.
111⁢x2+2⁢x−1
29 113 0.088700086956 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 114 0.088769592974 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 115 0.089056602041 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 116 0.089320330169 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 117 0.089469667450 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 118 0.089902841268 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 119 0.090203625496 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 120 0.090311537242 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 121 0.090767006340 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 122 0.091041620068 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 123 0.092780735218 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 124 0.093674902246 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 125 0.095723876548 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 127 0.097158715903 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 128 0.097360563242 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 129 0.098306729618 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 130 0.098418299395 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 131 0.098487059083 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 132 0.098677369824 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 133 0.100095680417 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 134 0.100127442523 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 135 0.101944715003 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 136 0.102653973962 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 137 0.105085798432 Henry Cohn, 2026, needs more optimization.
29 138 0.106235214268 Azmi C. Özgen, 2026.
29 139 0.107319183697 Azmi C. Özgen, 2026.
29 140 0.107979964429 Azmi C. Özgen, 2026.
29 141 0.108626442244 Azmi C. Özgen, 2026.
29 142 0.109372119164 Azmi C. Özgen, 2026.
29 143 0.110082236861 Azmi C. Özgen, 2026.
29 144 0.110690455893 Pavlos Moros, 2026.
29 145 0.110701844288 Vadim Borisov, 2026, https://numaro.tech/.
29 146 0.111106257597 Pavlos Moros, 2026.
29 147 0.111107074428 Henry Cohn, 2026, needs more optimization.
29 148 0.111109230863 Henry Cohn, 2026, needs more optimization.
29 149 0.111110152394 Henry Cohn, 2026, needs more optimization.
29 150 0.111110329613 Henry Cohn, 2026, needs more optimization.
29 154 0.111111111112 Henry Cohn, 2026.
9⁢x−1
29 155 0.112078774335 Azmi C. Özgen, 2026.
29 156 0.113915504517 Azmi C. Özgen, 2026.
29 157 0.117782317635 Azmi C. Özgen, 2026.
29 158 0.118504178511 Azmi C. Özgen, 2026.
29 159 0.121136665891 Azmi C. Özgen, 2026.
29 160 0.121289732862 Azmi C. Özgen, 2026.
29 161 0.122322176589 Azmi C. Özgen, 2026.
29 162 0.124337217085 Henry Cohn, 2026, needs more optimization.
29 163 0.125652130028 Azmi C. Özgen, 2026.
29 164 0.126052641147 Azmi C. Özgen, 2026.
29 165 0.126265024071 Henry Cohn, 2026, needs more optimization.
29 166 0.128052576214 Henry Cohn, 2026, needs more optimization.
29 185 0.128238684469 Henry Cohn, 2026.
92⁢x2−4⁢x−1
29 186 0.129183702781 Pavlos Moros, 2026.
29 187 0.131011020701 Azmi C. Özgen, 2026.
29 200 0.131426074480 Azmi C. Özgen, 2026.
29 201 0.134386064640 Azmi C. Özgen, 2026.
29 202 0.137810584870 Azmi C. Özgen, 2026.
29 203 0.141183591792 Azmi C. Özgen, 2026.
29 204 0.142415563098 Azmi C. Özgen, 2026.
29 205 0.142511799911 Azmi C. Özgen, 2026.
29 206 0.142562689036 Azmi C. Özgen, 2026.
29 207 0.142841453867 Azmi C. Özgen, 2026.
29 209 0.142857142858 Kevin Li, 2026.
7⁢x−1
29 210 0.142857142858 Henry Cohn, 2026.
7⁢x−1
29 211 0.144077683473 Pavlos Moros, 2026.
29 212 0.144941136879 Azmi C. Özgen, 2026.
29 213 0.145093049954 Azmi C. Özgen, 2026.
29 214 0.145200551593 Azmi C. Özgen, 2026.
29 215 0.145524315224 Azmi C. Özgen, 2026.
29 216 0.145546535466 Pavlos Moros, 2026.
29 217 0.145645210345 Azmi C. Özgen, 2026.
29 218 0.145859669753 Azmi C. Özgen, 2026.
29 219 0.146015846756 Azmi C. Özgen, 2026.
29 220 0.146151119857 Azmi C. Özgen, 2026.
29 221 0.146355790313 Azmi C. Özgen, 2026.
29 222 0.146545478375 Azmi C. Özgen, 2026.
29 223 0.146664844485 Azmi C. Özgen, 2026.
29 224 0.146719105796 Azmi C. Özgen, 2026.
29 225 0.146862370246 Azmi C. Özgen, 2026.
29 235 0.147102976680 Henry Cohn, 2026.
87⁢x2−6⁢x−1
29 236 0.147787001126 Azmi C. Özgen, 2026.
29 238 0.147845827028 Azmi C. Özgen, 2026.
29 240 0.147982610080 Henry Cohn, 2026.
2831⁢x2−250⁢x−25
29 241 0.148118063583 Azmi C. Özgen, 2026.
29 242 0.148370022433 Henry Cohn, 2026, needs more optimization.
29 243 0.148704829003 Azmi C. Özgen, 2026.
29 244 0.148916916922 Pavlos Moros, 2026.
29 245 0.149341788192 Azmi C. Özgen, 2026.
29 246 0.149951363353 Azmi C. Özgen, 2026.
29 247 0.150218105768 Azmi C. Özgen, 2026.
29 248 0.150522333575 Azmi C. Özgen, 2026.
29 249 0.150919684440 Azmi C. Özgen, 2026.
29 250 0.151712376392 Azmi C. Özgen, 2026.
29 251 0.152154593694 Azmi C. Özgen, 2026.
29 252 0.153198390676 Azmi C. Özgen, 2026.
29 253 0.153811492540 Azmi C. Özgen, 2026.
29 254 0.155171390233 Azmi C. Özgen, 2026.
29 255 0.156018913037 Azmi C. Özgen, 2026.
29 256 0.156507588836 Azmi C. Özgen, 2026.
29 257 0.157386225753 Azmi C. Özgen, 2026.
29 258 0.158214176586 Azmi C. Özgen, 2026.
29 259 0.158858602715 Azmi C. Özgen, 2026.
29 260 0.158979640144 Azmi C. Özgen, 2026.
29 261 0.159863759758 Azmi C. Özgen, 2026.
29 262 0.160793533620 Azmi C. Özgen, 2026.
29 263 0.161796270115 Azmi C. Özgen, 2026.
29 264 0.162185691193 Azmi C. Özgen, 2026.
29 265 0.162214457168 Azmi C. Özgen, 2026.
29 266 0.162351833743 Azmi C. Özgen, 2026.
29 267 0.162359513032 Azmi C. Özgen, 2026.
29 268 0.162370377004 Azmi C. Özgen, 2026.
29 269 0.162539195190 Azmi C. Özgen, 2026.
29 270 0.162573429802 Azmi C. Özgen, 2026.
29 271 0.162658239240 Azmi C. Özgen, 2026.
29 272 0.162851170604 Azmi C. Özgen, 2026.
29 273 0.163257197395 Azmi C. Özgen, 2026.
29 274 0.163348317132 Azmi C. Özgen, 2026.
29 275 0.163490063441 Azmi C. Özgen, 2026.
29 276 0.163561789939 Azmi C. Özgen, 2026.
29 277 0.163641056752 Azmi C. Özgen, 2026.
29 278 0.163759851763 Azmi C. Özgen, 2026.
29 279 0.163866033538 Azmi C. Özgen, 2026.
29 280 0.163948085840 Azmi C. Özgen, 2026.
29 281 0.164067063487 Azmi C. Özgen, 2026.
29 282 0.164292836861 Azmi C. Özgen, 2026.
29 283 0.164428442412 Azmi C. Özgen, 2026.
29 284 0.164529903189 Azmi C. Özgen, 2026.
29 285 0.164583608330 Azmi C. Özgen, 2026.
29 286 0.164630894346 Azmi C. Özgen, 2026.
29 287 0.164718788074 Azmi C. Özgen, 2026.
29 288 0.164864203757 Azmi C. Özgen, 2026.
29 289 0.164980634003 Azmi C. Özgen, 2026.
29 290 0.164992751140 Azmi C. Özgen, 2026.
29 291 0.165050943310 Azmi C. Özgen, 2026.
29 292 0.165085610593 Azmi C. Özgen, 2026.
29 293 0.165154649470 Azmi C. Özgen, 2026.
29 294 0.165199705063 Azmi C. Özgen, 2026.
29 295 0.165204623643 Azmi C. Özgen, 2026.
29 296 0.165248683443 Azmi C. Özgen, 2026.
29 297 0.165293625044 Azmi C. Özgen, 2026.
29 298 0.165331820895 Azmi C. Özgen, 2026.
29 299 0.165395144682 Azmi C. Özgen, 2026.
29 300 0.165516862717 Azmi C. Özgen, 2026.
29 301 0.165546776982 Azmi C. Özgen, 2026.
29 302 0.165620700758 Azmi C. Özgen, 2026.
29 303 0.165695269218 Azmi C. Özgen, 2026.
29 304 0.165768820104 Azmi C. Özgen, 2026.
29 305 0.165806378070 Azmi C. Özgen, 2026.
29 306 0.165853273859 Azmi C. Özgen, 2026.
29 307 0.165934451065 Azmi C. Özgen, 2026.
29 308 0.166049377287 Azmi C. Özgen, 2026.
29 309 0.166065209344 Azmi C. Özgen, 2026.
29 310 0.166229562715 Azmi C. Özgen, 2026.
29 311 0.166234543347 Azmi C. Özgen, 2026.
29 312 0.166246206178 Azmi C. Özgen, 2026.
29 313 0.166356794812 Azmi C. Özgen, 2026.
29 314 0.166409281867 Azmi C. Özgen, 2026.
29 315 0.166498147613 Azmi C. Özgen, 2026.
29 316 0.166636235327 Azmi C. Özgen, 2026.
29 317 0.166643568001 Azmi C. Özgen, 2026.
29 318 0.166648983126 Azmi C. Özgen, 2026.
29 319 0.166650631488 Azmi C. Özgen, 2026.
29 345 0.166666666667 Kevin Li, 2026.
6⁢x−1
29 346 0.167120327688 Azmi C. Özgen, 2026.
29 347 0.167164052162 Azmi C. Özgen, 2026.
29 348 0.167340117913 Azmi C. Özgen, 2026.
29 349 0.167503521296 Azmi C. Özgen, 2026.
29 350 0.168281747481 Azmi C. Özgen, 2026.
29 351 0.168295001702 Azmi C. Özgen, 2026.
29 352 0.169595710817 Azmi C. Özgen, 2026.
29 353 0.171439761118 Azmi C. Özgen, 2026.
29 354 0.174402713913 Azmi C. Özgen, 2026.
29 355 0.176906981072 Azmi C. Özgen, 2026.
29 356 0.178627427689 Azmi C. Özgen, 2026.
29 357 0.180102489452 Azmi C. Özgen, 2026.
29 358 0.181109376018 Azmi C. Özgen, 2026.
29 359 0.181364394746 Azmi C. Özgen, 2026.
29 360 0.181395233240 Azmi C. Özgen, 2026.
29 361 0.181603281995 Azmi C. Özgen, 2026.
29 362 0.181674707665 Azmi C. Özgen, 2026.
29 363 0.181911564500 Azmi C. Özgen, 2026.
29 364 0.183769700756 Azmi C. Özgen, 2026.
29 365 0.185869672953 Azmi C. Özgen, 2026.
29 366 0.186318581235 Azmi C. Özgen, 2026.
29 367 0.186671962758 Azmi C. Özgen, 2026.
29 368 0.186714607444 Azmi C. Özgen, 2026.
29 369 0.187306277562 Azmi C. Özgen, 2026.
29 370 0.187342264148 Azmi C. Özgen, 2026.
29 371 0.187791216274 Azmi C. Özgen, 2026.
29 372 0.188316740152 Azmi C. Özgen, 2026.
29 373 0.188583507754 Azmi C. Özgen, 2026.
29 374 0.188857134977 Azmi C. Özgen, 2026.
29 375 0.189129444353 Azmi C. Özgen, 2026.
29 376 0.189163116114 Azmi C. Özgen, 2026.
29 377 0.189693186374 Azmi C. Özgen, 2026.
29 378 0.189752770486 Azmi C. Özgen, 2026.
29 379 0.190124840413 Azmi C. Özgen, 2026.
29 380 0.190473675888 Azmi C. Özgen, 2026.
29 381 0.190733993922 Azmi C. Özgen, 2026.
29 382 0.190916674606 Azmi C. Özgen, 2026.
29 383 0.191293014705 Azmi C. Özgen, 2026.
29 384 0.191345009832 Azmi C. Özgen, 2026.
29 385 0.191636248996 Azmi C. Özgen, 2026.
29 386 0.191906262718 Azmi C. Özgen, 2026.
29 387 0.192014907572 Azmi C. Özgen, 2026.
29 388 0.192145749641 Azmi C. Özgen, 2026.
29 389 0.192481190772 Azmi C. Özgen, 2026.
29 390 0.192519448381 Robert Dallara, 2026.
29 391 0.192861470882 Azmi C. Özgen, 2026.
29 392 0.193240949812 Azmi C. Özgen, 2026.
29 393 0.193688192364 Azmi C. Özgen, 2026.
29 394 0.193711500121 Azmi C. Özgen, 2026.
29 395 0.193918710291 Azmi C. Özgen, 2026.
29 396 0.194044055589 Azmi C. Özgen, 2026.
29 451 0.194630872484 Henry Cohn, 2026.
149⁢x−29
29 452 0.196846963257 Henry Cohn, 2026, needs more optimization.
29 453 0.196981967872 Azmi C. Özgen, 2026.
29 454 0.199123772855 Azmi C. Özgen, 2026.
29 455 0.199140830074 Azmi C. Özgen, 2026.
29 456 0.199192664341 Azmi C. Özgen, 2026.
29 457 0.199199593270 Azmi C. Özgen, 2026.
29 458 0.199211028268 Azmi C. Özgen, 2026.
29 459 0.199220607946 Azmi C. Özgen, 2026.
29 460 0.199229957603 Azmi C. Özgen, 2026.
29 461 0.199234054557 Azmi C. Özgen, 2026.
29 462 0.199271208353 Azmi C. Özgen, 2026.
29 463 0.199322700597 Azmi C. Özgen, 2026.
29 464 0.199343839161 Azmi C. Özgen, 2026.
29 465 0.199404240733 Azmi C. Özgen, 2026.
29 466 0.199439249242 Azmi C. Özgen, 2026.
29 467 0.199442338225 Azmi C. Özgen, 2026.
29 468 0.199452556544 Azmi C. Özgen, 2026.
29 469 0.199474154766 Azmi C. Özgen, 2026.
29 470 0.199512544200 Azmi C. Özgen, 2026.
29 471 0.199532005873 Azmi C. Özgen, 2026.
29 472 0.199534556439 Azmi C. Özgen, 2026.
29 473 0.199581817178 Azmi C. Özgen, 2026.
29 474 0.199585423715 Azmi C. Özgen, 2026.
29 475 0.199609993006 Azmi C. Özgen, 2026.
29 476 0.199613296438 Azmi C. Özgen, 2026.
29 477 0.199613773743 Azmi C. Özgen, 2026.
29 478 0.199627585364 Azmi C. Özgen, 2026.
29 479 0.199656801887 Azmi C. Özgen, 2026.
29 480 0.199662594045 Azmi C. Özgen, 2026.
29 481 0.199663070464 Azmi C. Özgen, 2026.
29 482 0.199690816032 Azmi C. Özgen, 2026.
29 483 0.199694758317 Azmi C. Özgen, 2026.
29 484 0.199718439702 Azmi C. Özgen, 2026.
29 485 0.199746239112 Azmi C. Özgen, 2026.
29 486 0.199750395031 Azmi C. Özgen, 2026.
29 487 0.199754075059 Azmi C. Özgen, 2026.
29 488 0.199773364596 Azmi C. Özgen, 2026.
29 489 0.199782539071 Azmi C. Özgen, 2026.
29 490 0.199793733697 Azmi C. Özgen, 2026.
29 491 0.199804011305 Azmi C. Özgen, 2026.
29 492 0.199826208000 Azmi C. Özgen, 2026.
29 493 0.199826523752 Azmi C. Özgen, 2026.
29 494 0.199832198219 Azmi C. Özgen, 2026.
29 495 0.199844756381 Azmi C. Özgen, 2026.
29 496 0.199853516172 Azmi C. Özgen, 2026.
29 497 0.199927864789 Henry Cohn, 2026, needs more optimization.
29 587 0.2 Kevin Li, 2026.
5⁢x−1
29 605 0.2 Henry Cohn, 2026.
5⁢x−1
29 606 0.200260225331 Azmi C. Özgen, 2026.
29 607 0.200351254363 Azmi C. Özgen, 2026.
29 608 0.200682655892 Azmi C. Özgen, 2026.
29 609 0.200854692409 Azmi C. Özgen, 2026.
29 610 0.201045510091 Azmi C. Özgen, 2026.
29 611 0.201409383891 Azmi C. Özgen, 2026.
29 612 0.201736192767 Azmi C. Özgen, 2026.
29 613 0.202178224273 Azmi C. Özgen, 2026.
29 614 0.202414166774 Azmi C. Özgen, 2026.
29 615 0.202928627997 Azmi C. Özgen, 2026.
29 616 0.203647782961 Azmi C. Özgen, 2026.
29 617 0.204627602620 Azmi C. Özgen, 2026.
29 618 0.204982479802 Azmi C. Özgen, 2026.
29 619 0.205328688403 Azmi C. Özgen, 2026.
29 620 0.205767887240 Azmi C. Özgen, 2026.
29 621 0.206511330054 Azmi C. Özgen, 2026.
29 622 0.207012407707 Azmi C. Özgen, 2026.
29 623 0.207838766619 Azmi C. Özgen, 2026.
29 624 0.207982312580 Azmi C. Özgen, 2026.
29 625 0.208528577557 Azmi C. Özgen, 2026.
29 626 0.209188517394 Azmi C. Özgen, 2026.
29 627 0.209600703948 Azmi C. Özgen, 2026.
29 628 0.210193947521 Azmi C. Özgen, 2026.
29 629 0.210652292120 Azmi C. Özgen, 2026.
29 630 0.211294628669 Azmi C. Özgen, 2026.
29 631 0.211847803870 Azmi C. Özgen, 2026.
29 632 0.212226217792 Azmi C. Özgen, 2026.
29 633 0.212681509216 Azmi C. Özgen, 2026.
29 634 0.213119513561 Azmi C. Özgen, 2026.
29 635 0.213511935090 Azmi C. Özgen, 2026.
29 636 0.213960234785 Azmi C. Özgen, 2026.
29 637 0.214394639750 Azmi C. Özgen, 2026.
29 638 0.214886848579 Azmi C. Özgen, 2026.
29 639 0.215540738694 Azmi C. Özgen, 2026.
29 640 0.216097859539 Azmi C. Özgen, 2026.
29 641 0.216661219454 Azmi C. Özgen, 2026.
29 645 0.216765202736 Robert Dallara, 2026.
29 646 0.218970186080 Azmi C. Özgen, 2026.
29 647 0.219432007755 Azmi C. Özgen, 2026.
29 648 0.219857558502 Azmi C. Özgen, 2026.
29 649 0.220228718938 Azmi C. Özgen, 2026.
29 650 0.220705951653 Azmi C. Özgen, 2026.
29 651 0.221277065245 Azmi C. Özgen, 2026.
29 652 0.221576487126 Azmi C. Özgen, 2026.
29 653 0.222010687995 Azmi C. Özgen, 2026.
29 654 0.222475598029 Azmi C. Özgen, 2026.
29 655 0.222593780844 Azmi C. Özgen, 2026.
29 656 0.222992302729 Azmi C. Özgen, 2026.
29 657 0.223326629425 Azmi C. Özgen, 2026.
29 658 0.223680983062 Azmi C. Özgen, 2026.
29 659 0.223891878634 Azmi C. Özgen, 2026.
29 660 0.224355695804 Azmi C. Özgen, 2026.
29 661 0.224663035754 Azmi C. Özgen, 2026.
29 662 0.224964786099 Azmi C. Özgen, 2026.
29 663 0.225365774828 Azmi C. Özgen, 2026.
29 664 0.225678503022 Azmi C. Özgen, 2026.
29 665 0.228687576431 Azmi C. Özgen, 2026.
29 666 0.229861488385 Azmi C. Özgen, 2026.
29 667 0.231683347166 Azmi C. Özgen, 2026.
29 668 0.232063124094 Azmi C. Özgen, 2026.
29 669 0.232070186445 Azmi C. Özgen, 2026.
29 670 0.232422259645 Azmi C. Özgen, 2026.
29 671 0.232506302321 Azmi C. Özgen, 2026.
29 672 0.232629662786 Azmi C. Özgen, 2026.
29 673 0.232694472811 Azmi C. Özgen, 2026.
29 674 0.232814389635 Azmi C. Özgen, 2026.
29 675 0.232820376349 Azmi C. Özgen, 2026.
29 676 0.232875846156 Azmi C. Özgen, 2026.
29 677 0.232882529089 Azmi C. Özgen, 2026.
29 678 0.232933143843 Azmi C. Özgen, 2026.
29 679 0.233061414137 Azmi C. Özgen, 2026.
29 680 0.233099153959 Azmi C. Özgen, 2026.
29 681 0.233100854179 Azmi C. Özgen, 2026.
29 682 0.233150406470 Azmi C. Özgen, 2026.
29 683 0.233194960885 Azmi C. Özgen, 2026.
29 684 0.233243955404 Azmi C. Özgen, 2026.
29 685 0.233336760798 Azmi C. Özgen, 2026.
29 686 0.233340918767 Azmi C. Özgen, 2026.
29 687 0.233362420260 Azmi C. Özgen, 2026.
29 688 0.233397354890 Azmi C. Özgen, 2026.
29 689 0.233493532352 Azmi C. Özgen, 2026.
29 690 0.233500168125 Azmi C. Özgen, 2026.
29 691 0.233500407684 Azmi C. Özgen, 2026.
29 692 0.233500504929 Azmi C. Özgen, 2026.
29 693 0.233501082779 Azmi C. Özgen, 2026.
29 694 0.233516257771 Azmi C. Özgen, 2026.
29 695 0.233556366773 Azmi C. Özgen, 2026.
29 696 0.233592688087 Azmi C. Özgen, 2026.
29 697 0.233597451332 Azmi C. Özgen, 2026.
29 698 0.233597460070 Azmi C. Özgen, 2026.
29 699 0.233610152801 Azmi C. Özgen, 2026.
29 700 0.233616801644 Azmi C. Özgen, 2026.
29 701 0.233648646666 Azmi C. Özgen, 2026.
29 702 0.233670304355 Azmi C. Özgen, 2026.
29 703 0.233673008379 Azmi C. Özgen, 2026.
29 704 0.233675481770 Azmi C. Özgen, 2026.
29 705 0.233678249966 Azmi C. Özgen, 2026.
29 706 0.233680481542 Azmi C. Özgen, 2026.
29 707 0.233683382135 Azmi C. Özgen, 2026.
29 708 0.233685838362 Azmi C. Özgen, 2026.
29 709 0.233688418811 Azmi C. Özgen, 2026.
29 710 0.233688425417 Azmi C. Özgen, 2026.
29 711 0.233694635782 Azmi C. Özgen, 2026.
29 712 0.233701471669 Azmi C. Özgen, 2026.
29 713 0.233710812214 Henry Cohn, 2026, needs more optimization.
29 714 0.233710812238 Henry Cohn, 2026, needs more optimization.
29 715 0.233759282719 Azmi C. Özgen, 2026.
29 716 0.233798321995 Azmi C. Özgen, 2026.
29 717 0.233837246046 Azmi C. Özgen, 2026.
29 718 0.235833564209 Azmi C. Özgen, 2026.
29 719 0.236849741946 Azmi C. Özgen, 2026.
29 720 0.238164336732 Azmi C. Özgen, 2026.
29 721 0.239475623212 Azmi C. Özgen, 2026.
29 722 0.239478101603 Azmi C. Özgen, 2026.
29 723 0.239582408122 Azmi C. Özgen, 2026.
29 724 0.239586397181 Azmi C. Özgen, 2026.
29 725 0.239588274873 Azmi C. Özgen, 2026.
29 726 0.239856396095 Azmi C. Özgen, 2026.
29 727 0.240054045231 Azmi C. Özgen, 2026.
29 728 0.240054045292 Azmi C. Özgen, 2026.
29 729 0.240535839224 Azmi C. Özgen, 2026.
29 730 0.240540389419 Azmi C. Özgen, 2026.
29 731 0.240543959249 Azmi C. Özgen, 2026.
29 732 0.240545847308 Azmi C. Özgen, 2026.
29 733 0.240781642871 Azmi C. Özgen, 2026.
29 734 0.240999119013 Azmi C. Özgen, 2026.
29 735 0.241150901418 Pavlos Moros, 2026.
29 736 0.241151001419 Azmi C. Özgen, 2026.
29 737 0.241396992050 Azmi C. Özgen, 2026.
29 738 0.241396992061 Azmi C. Özgen, 2026.
29 739 0.241511738528 Azmi C. Özgen, 2026.
29 740 0.241814102686 Azmi C. Özgen, 2026.
29 741 0.241818524181 Azmi C. Özgen, 2026.
29 742 0.241818524235 Azmi C. Özgen, 2026.
29 743 0.241845576539 Robert Dallara, 2026.
29 744 0.242283625752 Azmi C. Özgen, 2026.
29 745 0.242302679340 Azmi C. Özgen, 2026.
29 746 0.242308606361 Azmi C. Özgen, 2026.
29 747 0.242503354242 Azmi C. Özgen, 2026.
29 748 0.242512256805 Azmi C. Özgen, 2026.
29 749 0.242683796454 Azmi C. Özgen, 2026.
29 750 0.242688715811 Azmi C. Özgen, 2026.
29 751 0.242691178729 Azmi C. Özgen, 2026.
29 752 0.242691182663 Azmi C. Özgen, 2026.
29 753 0.242745028511 Azmi C. Özgen, 2026.
29 754 0.242838115690 Azmi C. Özgen, 2026.
29 755 0.243134572093 Azmi C. Özgen, 2026.
29 756 0.243218969547 Azmi C. Özgen, 2026.
29 757 0.243295519073 Azmi C. Özgen, 2026.
29 758 0.243455981593 Azmi C. Özgen, 2026.
29 759 0.243455984503 Azmi C. Özgen, 2026.
29 760 0.243590747826 Azmi C. Özgen, 2026.
29 761 0.243732549142 Azmi C. Özgen, 2026.
29 762 0.243930111834 Azmi C. Özgen, 2026.
29 763 0.243951988115 Azmi C. Özgen, 2026.
29 764 0.244080907191 Azmi C. Özgen, 2026.
29 765 0.244252901119 Azmi C. Özgen, 2026.
29 766 0.244252901381 Azmi C. Özgen, 2026.
29 767 0.244451627974 Azmi C. Özgen, 2026.
29 768 0.244606948089 Azmi C. Özgen, 2026.
29 769 0.244822258658 Azmi C. Özgen, 2026.
29 770 0.244822262288 Azmi C. Özgen, 2026.
29 771 0.244990636914 Azmi C. Özgen, 2026.
29 772 0.245110094258 Azmi C. Özgen, 2026.
29 773 0.245223227929 Azmi C. Özgen, 2026.
29 774 0.245456561982 Azmi C. Özgen, 2026.
29 775 0.245462033155 Azmi C. Özgen, 2026.
29 776 0.245465968056 Azmi C. Özgen, 2026.
29 777 0.245465972190 Azmi C. Özgen, 2026.
29 778 0.245585782337 Azmi C. Özgen, 2026.
29 779 0.245660151023 Azmi C. Özgen, 2026.
29 780 0.245796474072 Azmi C. Özgen, 2026.
29 781 0.245801338532 Azmi C. Özgen, 2026.
29 782 0.245804484084 Azmi C. Özgen, 2026.
29 783 0.245806744228 Azmi C. Özgen, 2026.
29 784 0.245920303041 Azmi C. Özgen, 2026.
29 785 0.245952653854 Azmi C. Özgen, 2026.
29 786 0.246006792560 Azmi C. Özgen, 2026.
29 787 0.246145865387 Azmi C. Özgen, 2026.
29 788 0.246246477802 Azmi C. Özgen, 2026.
29 789 0.246287849463 Azmi C. Özgen, 2026.
29 790 0.246358595477 Azmi C. Özgen, 2026.
29 791 0.246432048579 Azmi C. Özgen, 2026.
29 792 0.246452051576 Azmi C. Özgen, 2026.
29 793 0.246487346212 Azmi C. Özgen, 2026.
29 794 0.246565289053 Azmi C. Özgen, 2026.
29 795 0.246591260272 Azmi C. Özgen, 2026.
29 796 0.246674364505 Azmi C. Özgen, 2026.
29 797 0.246846359280 Azmi C. Özgen, 2026.
29 798 0.246908278653 Azmi C. Özgen, 2026.
29 799 0.247037196618 Azmi C. Özgen, 2026.
29 800 0.247105459161 Azmi C. Özgen, 2026.
29 801 0.247105459416 Azmi C. Özgen, 2026.
29 802 0.247105464745 Azmi C. Özgen, 2026.
29 803 0.247147521096 Azmi C. Özgen, 2026.
29 804 0.247243772376 Azmi C. Özgen, 2026.
29 805 0.247257596160 Azmi C. Özgen, 2026.
29 806 0.247303830989 Azmi C. Özgen, 2026.
29 807 0.247384761390 Azmi C. Özgen, 2026.
29 808 0.247466945053 Azmi C. Özgen, 2026.
29 809 0.247498121682 Azmi C. Özgen, 2026.
29 810 0.247536522644 Azmi C. Özgen, 2026.
29 811 0.247596402548 Azmi C. Özgen, 2026.
29 812 0.247598410931 Azmi C. Özgen, 2026.
29 813 0.247598410987 Azmi C. Özgen, 2026.
29 814 0.247598415414 Azmi C. Özgen, 2026.
29 815 0.247693362859 Azmi C. Özgen, 2026.
29 816 0.247716348005 Azmi C. Özgen, 2026.
29 817 0.247730611795 Azmi C. Özgen, 2026.
29 818 0.247747862894 Azmi C. Özgen, 2026.
29 819 0.247860495048 Azmi C. Özgen, 2026.
29 820 0.247860500015 Azmi C. Özgen, 2026.
29 821 0.247919775158 Azmi C. Özgen, 2026.
29 822 0.247952777622 Azmi C. Özgen, 2026.
29 823 0.247987718522 Henry Cohn, 2026, needs more optimization.
29 824 0.247987723250 Azmi C. Özgen, 2026.
29 825 0.248029379284 Azmi C. Özgen, 2026.
29 826 0.248104453834 Azmi C. Özgen, 2026.
29 827 0.248147824924 Azmi C. Özgen, 2026.
29 828 0.248199595369 Azmi C. Özgen, 2026.
29 829 0.248293339208 Azmi C. Özgen, 2026.
29 830 0.248345027664 Azmi C. Özgen, 2026.
29 831 0.248348476186 Azmi C. Özgen, 2026.
29 832 0.248351956895 Azmi C. Özgen, 2026.
29 833 0.248353832198 Azmi C. Özgen, 2026.
29 834 0.248353833141 Azmi C. Özgen, 2026.
29 835 0.248353964834 Azmi C. Özgen, 2026.
29 836 0.248356133690 Azmi C. Özgen, 2026.
29 837 0.248356133722 Azmi C. Özgen, 2026.
29 838 0.248356141096 Azmi C. Özgen, 2026.
29 839 0.248366104035 Azmi C. Özgen, 2026.
29 840 0.248400937598 Azmi C. Özgen, 2026.
29 841 0.248424094978 Azmi C. Özgen, 2026.
29 842 0.248454735671 Azmi C. Özgen, 2026.
29 843 0.248514207208 Azmi C. Özgen, 2026.
29 844 0.248514213663 Azmi C. Özgen, 2026.
29 845 0.248562352878 Azmi C. Özgen, 2026.
29 846 0.248606226248 Azmi C. Özgen, 2026.
29 847 0.248635250006 Azmi C. Özgen, 2026.
29 848 0.248671117561 Azmi C. Özgen, 2026.
29 849 0.248725634798 Azmi C. Özgen, 2026.
29 850 0.248735929315 Azmi C. Özgen, 2026.
29 851 0.248779510684 Azmi C. Özgen, 2026.
29 852 0.248829701705 Azmi C. Özgen, 2026.
29 853 0.248829707856 Azmi C. Özgen, 2026.
29 854 0.248843171738 Azmi C. Özgen, 2026.
29 855 0.248876207303 Azmi C. Özgen, 2026.
29 856 0.248982852639 Henry Cohn, 2026, needs more optimization.
29 857 0.248982861296 Azmi C. Özgen, 2026.
29 858 0.248985794552 Azmi C. Özgen, 2026.
29 859 0.248994057099 Azmi C. Özgen, 2026.
29 860 0.249010085754 Azmi C. Özgen, 2026.
29 861 0.249010085805 Azmi C. Özgen, 2026.
29 862 0.249010092240 Azmi C. Özgen, 2026.
29 863 0.249056283289 Azmi C. Özgen, 2026.
29 864 0.249098968783 Henry Cohn, 2026, needs more optimization.
29 865 0.249098974985 Azmi C. Özgen, 2026.
29 866 0.249107749669 Henry Cohn, 2026, needs more optimization.
29 867 0.249107758214 Azmi C. Özgen, 2026.
29 868 0.249135321771 Azmi C. Özgen, 2026.
29 869 0.249166391271 Azmi C. Özgen, 2026.
29 870 0.249307013393 Henry Cohn, 2026, needs more optimization.
29 871 0.249307023904 Azmi C. Özgen, 2026.
29 872 0.249316499990 Azmi C. Özgen, 2026.
29 873 0.249316508916 Azmi C. Özgen, 2026.
29 874 0.249322239685 Henry Cohn, 2026, needs more optimization.
29 875 0.249322240064 Henry Cohn, 2026, needs more optimization.
29 876 0.249322248451 Azmi C. Özgen, 2026.
29 877 0.249328952945 Azmi C. Özgen, 2026.
29 878 0.249328957992 Azmi C. Özgen, 2026.
29 879 0.249328962340 Azmi C. Özgen, 2026.
29 880 0.249348622317 Azmi C. Özgen, 2026.
29 881 0.249376811668 Azmi C. Özgen, 2026.
29 882 0.249377724424 Azmi C. Özgen, 2026.
29 883 0.249380267953 Azmi C. Özgen, 2026.
29 884 0.249395922429 Azmi C. Özgen, 2026.
29 885 0.249402953736 Azmi C. Özgen, 2026.
29 886 0.249439462858 Henry Cohn, 2026, needs more optimization.
29 887 0.249439468677 Henry Cohn, 2026, needs more optimization.
29 888 0.249439474161 Azmi C. Özgen, 2026.
29 889 0.249448121954 Azmi C. Özgen, 2026.
29 890 0.249462014703 Azmi C. Özgen, 2026.
29 891 0.249475315654 Azmi C. Özgen, 2026.
29 892 0.249490543983 Azmi C. Özgen, 2026.
29 893 0.249491483696 Azmi C. Özgen, 2026.
29 894 0.249491497405 Azmi C. Özgen, 2026.
29 895 0.249536828808 Azmi C. Özgen, 2026.
29 896 0.249536836438 Azmi C. Özgen, 2026.
29 897 0.249538190685 Azmi C. Özgen, 2026.
29 898 0.249559790260 Azmi C. Özgen, 2026.
29 899 0.249559800405 Azmi C. Özgen, 2026.
29 900 0.249572058147 Azmi C. Özgen, 2026.
29 901 0.249572067460 Azmi C. Özgen, 2026.
29 902 0.249606244374 Azmi C. Özgen, 2026.
29 903 0.249606251110 Azmi C. Özgen, 2026.
29 904 0.249611553077 Azmi C. Özgen, 2026.
29 905 0.249652667642 Azmi C. Özgen, 2026.
29 908 0.249964307624 Azmi C. Özgen, 2026.
29 909 0.249964307655 Azmi C. Özgen, 2026.
29 910 0.249964308810 Azmi C. Özgen, 2026.
29 914 0.249965412451 Azmi C. Özgen, 2026.
29 915 0.249965412492 Azmi C. Özgen, 2026.
29 916 0.249965412836 Azmi C. Özgen, 2026.
29 917 0.249965419249 Azmi C. Özgen, 2026.
29 918 0.249965424950 Azmi C. Özgen, 2026.
29 919 0.249965428528 Azmi C. Özgen, 2026.
29 920 0.249965433278 Azmi C. Özgen, 2026.
29 921 0.249967723855 Henry Cohn, 2026, needs more optimization.
29 922 0.249967729653 Azmi C. Özgen, 2026.
29 923 0.249967741211 Azmi C. Özgen, 2026.
29 924 0.249971487611 Azmi C. Özgen, 2026.
29 925 0.249972844772 Azmi C. Özgen, 2026.
29 926 0.249974253391 Azmi C. Özgen, 2026.
29 927 0.249975740455 Azmi C. Özgen, 2026.
29 928 0.249977645317 Azmi C. Özgen, 2026.
29 929 0.249977645321 Azmi C. Özgen, 2026.
29 930 0.249977645326 Azmi C. Özgen, 2026.
29 931 0.249977645490 Azmi C. Özgen, 2026.
29 932 0.249977645733 Azmi C. Özgen, 2026.
29 933 0.249977651498 Azmi C. Özgen, 2026.
29 934 0.249977657415 Azmi C. Özgen, 2026.
29 935 0.249977661278 Azmi C. Özgen, 2026.
29 936 0.249977666447 Azmi C. Özgen, 2026.
29 937 0.249980503629 Azmi C. Özgen, 2026.
29 938 0.249982061237 Azmi C. Özgen, 2026.
29 939 0.249982069048 Azmi C. Özgen, 2026.
29 940 0.249982074081 Azmi C. Özgen, 2026.
29 941 0.249982607923 Azmi C. Özgen, 2026.
29 942 0.249984209878 Azmi C. Özgen, 2026.
29 943 0.249984646811 Azmi C. Özgen, 2026.
29 944 0.249985333464 Azmi C. Özgen, 2026.
29 945 0.249985341924 Azmi C. Özgen, 2026.
29 946 0.249985907263 Azmi C. Özgen, 2026.
29 947 0.249985911791 Azmi C. Özgen, 2026.
29 948 0.249985917637 Azmi C. Özgen, 2026.
29 952 0.249988800273 Henry Cohn, 2026, needs more optimization.
29 953 0.249988800274 Henry Cohn, 2026, needs more optimization.
29 954 0.249988800455 Henry Cohn, 2026, needs more optimization.
29 955 0.249988801208 Henry Cohn, 2026, needs more optimization.
29 956 0.249988836486 Henry Cohn, 2026, needs more optimization.
29 957 0.249988856788 Henry Cohn, 2026, needs more optimization.
29 958 0.249988876691 Azmi C. Özgen, 2026.
29 959 0.249990858583 Henry Cohn, 2026, needs more optimization.
29 960 0.249990861573 Henry Cohn, 2026, needs more optimization.
29 961 0.249990865569 Azmi C. Özgen, 2026.
29 962 0.249991392986 Azmi C. Özgen, 2026.
29 963 0.249992347840 Pavlos Moros, 2026.
29 964 0.249992561569 Pavlos Moros, 2026.
29 965 0.249992824403 Pavlos Moros, 2026.
29 966 0.249992888956 Pavlos Moros, 2026.
29 967 0.249992994866 Henry Cohn, 2026, needs more optimization.
29 968 0.249992998776 Henry Cohn, 2026, needs more optimization.
29 969 0.249993003881 Azmi C. Özgen, 2026.
29 970 0.249994183513 Henry Cohn, 2026, needs more optimization.
29 971 0.249994186297 Azmi C. Özgen, 2026.
29 972 0.249994386704 Henry Cohn, 2026, needs more optimization.
29 973 0.249994392334 Henry Cohn, 2026, needs more optimization.
29 974 0.249994396085 Henry Cohn, 2026, needs more optimization.
29 975 0.249994398225 Henry Cohn, 2026, needs more optimization.
29 976 0.249994402917 Azmi C. Özgen, 2026.
29 977 0.249995462435 Azmi C. Özgen, 2026.
29 978 0.249995465546 Azmi C. Özgen, 2026.
29 979 0.249995469138 Azmi C. Özgen, 2026.
29 980 0.249995677401 Azmi C. Özgen, 2026.
29 981 0.249995681443 Azmi C. Özgen, 2026.
29 982 0.249995685303 Azmi C. Özgen, 2026.
29 983 0.249995687533 Henry Cohn, 2026, needs more optimization.
29 984 0.249995690905 Henry Cohn, 2026, needs more optimization.
29 985 0.249995692669 Henry Cohn, 2026, needs more optimization.
29 986 0.249995694744 Henry Cohn, 2026, needs more optimization.
29 987 0.249995696952 Henry Cohn, 2026, needs more optimization.
29 988 0.249995699430 Azmi C. Özgen, 2026.
29 1024 0.25 Kevin Li, 2026.
4⁢x−1
30 61 0.026884307091 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
23520⁢x3−900⁢x2−30⁢x+1
30 62 0.031273236170 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 63 0.037664488335 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 64 0.038215865917 Pavlos Moros, 2026.
30 65 0.038479664975 Henry Cohn, 2026.
30 66 0.042414067204 Azmi C. Özgen, 2026.
30 67 0.043279205049 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 68 0.043439510039 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 69 0.044560014147 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 70 0.044757397041 Henry Cohn, 2026.
30 71 0.048412928398 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 72 0.048641450299 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 73 0.051199445501 Pavlos Moros, 2026.
30 74 0.051797462893 Azmi C. Özgen, 2026.
30 75 0.054797544714 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 76 0.057087952356 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 77 0.058597722669 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 78 0.059643158367 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 79 0.061207737623 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 80 0.062503011231 Robert Dallara, 2026.
30 81 0.062820061220 Azmi C. Özgen, 2026.
30 82 0.063356335671 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 83 0.065099117014 Henry Cohn, 2026, needs more optimization.
30 84 0.065918799395 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 85 0.067987812023 Azmi C. Özgen, 2026.
30 86 0.069411209813 Azmi C. Özgen, 2026.
30 87 0.070863439339 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 88 0.072090236813 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 89 0.073008015101 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 90 0.073967459792 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 91 0.074668858657 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 92 0.075599010506 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 93 0.076084547316 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 94 0.076863926727 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 95 0.076919793665 Pavlos Moros, 2026.
30 96 0.076995792643 Pavlos Moros, 2026.
30 97 0.077147356932 Henry Cohn, 2026, needs more optimization.
30 98 0.077263015354 Azmi C. Özgen, 2026.
30 99 0.077331332468 Azmi C. Özgen, 2026.
30 100 0.077767758050 Henry Cohn, 2026, needs more optimization.
30 101 0.077920423335 Azmi C. Özgen, 2026.
30 102 0.078028644595 Azmi C. Özgen, 2026.
30 103 0.078512280682 Henry Cohn, 2026, needs more optimization.
30 104 0.079109925224 Azmi C. Özgen, 2026.
30 105 0.079589586269 Azmi C. Özgen, 2026.
30 106 0.080477209110 Henry Cohn, 2026, needs more optimization.
30 107 0.080660373476 Henry Cohn, 2026, needs more optimization.
30 108 0.080811777145 Henry Cohn, 2026, needs more optimization.
30 109 0.081493485203 Azmi C. Özgen, 2026.
30 110 0.081788177219 Azmi C. Özgen, 2026.
30 111 0.082299565829 Henry Cohn, 2026, needs more optimization.
30 112 0.083252468727 Henry Cohn, 2026, needs more optimization.
30 113 0.085098652261 Azmi C. Özgen, 2026.
30 114 0.086226873135 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 115 0.086231940230 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 117 0.086387915001 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 118 0.087524493997 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 119 0.088427485433 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 120 0.088883206097 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 121 0.089320513875 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 122 0.089823054295 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 123 0.089952384550 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 124 0.090024426794 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 125 0.090501567432 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 126 0.091016634078 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 127 0.091865045275 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 128 0.092778117720 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 129 0.094290613320 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 130 0.095659806385 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 131 0.096867091437 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 133 0.097806237462 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 134 0.098032829539 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 135 0.098435413984 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 136 0.098800919945 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 137 0.099186673656 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 138 0.099803711723 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 139 0.099884660588 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 140 0.099961780842 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 141 0.100178741787 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 142 0.100736369093 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 143 0.101021245719 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 144 0.103078993329 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 145 0.103330591792 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 146 0.107643185871 Azmi C. Özgen, 2026.
30 147 0.108865700790 Henry Cohn, 2026, needs more optimization.
30 148 0.109053178348 Azmi C. Özgen, 2026.
30 149 0.109582315920 Azmi C. Özgen, 2026.
30 151 0.109883409819 Robert Dallara, 2026.
30 152 0.111070462425 Henry Cohn, 2026, needs more optimization.
30 153 0.111085499529 Henry Cohn, 2026, needs more optimization.
30 154 0.111090530401 Henry Cohn, 2026, needs more optimization.
30 155 0.111091825741 Azmi C. Özgen, 2026.
30 156 0.111104720334 Pavlos Moros, 2026.
30 157 0.111111128205 Pavlos Moros, 2026.
30 158 0.111111129932 Henry Cohn, 2026, needs more optimization.
30 159 0.112245295270 Azmi C. Özgen, 2026.
30 160 0.113643187338 Azmi C. Özgen, 2026.
30 161 0.115735655710 Azmi C. Özgen, 2026.
30 162 0.116547088491 Azmi C. Özgen, 2026.
30 163 0.118593323414 Azmi C. Özgen, 2026.
30 164 0.120028030407 Azmi C. Özgen, 2026.
30 165 0.120471252571 Azmi C. Özgen, 2026.
30 166 0.121700781551 Azmi C. Özgen, 2026.
30 167 0.121972789725 Azmi C. Özgen, 2026.
30 168 0.122808882634 Azmi C. Özgen, 2026.
30 169 0.123546360087 Azmi C. Özgen, 2026.
30 170 0.124610274263 Azmi C. Özgen, 2026.
30 171 0.126536118912 Azmi C. Özgen, 2026.
30 172 0.127069826370 Henry Cohn, 2026, needs more optimization.
30 173 0.127331375829 Azmi C. Özgen, 2026.
30 174 0.127763123399 Azmi C. Özgen, 2026.
30 175 0.128052241473 Azmi C. Özgen, 2026.
30 176 0.128208710800 Henry Cohn, 2026, needs more optimization.
30 189 0.128238684469 Henry Cohn, 2026.
92⁢x2−4⁢x−1
30 202 0.128238684469 Azmi C. Özgen, 2026.
92⁢x2−4⁢x−1
30 203 0.131423876084 Azmi C. Özgen, 2026.
30 204 0.131425584176 Henry Cohn, 2026, needs more optimization.
30 205 0.131426336170 Pavlos Moros, 2026.
30 206 0.133993281028 Azmi C. Özgen, 2026.
30 207 0.134198096435 Azmi C. Özgen, 2026.
30 208 0.136362109204 Robert Dallara, 2026.
30 209 0.138569482058 Azmi C. Özgen, 2026.
30 210 0.141198779392 Azmi C. Özgen, 2026.
30 211 0.142094475291 Azmi C. Özgen, 2026.
30 212 0.142261513885 Azmi C. Özgen, 2026.
30 213 0.142286435773 Henry Cohn, 2026, needs more optimization.
30 214 0.142334102161 Azmi C. Özgen, 2026.
30 215 0.142388849085 Azmi C. Özgen, 2026.
30 216 0.142777229635 Azmi C. Özgen, 2026.
30 217 0.142849137807 Azmi C. Özgen, 2026.
30 218 0.143116508019 Azmi C. Özgen, 2026.
30 219 0.143281963304 Azmi C. Özgen, 2026.
30 220 0.143957309756 Azmi C. Özgen, 2026.
30 221 0.144385043811 Azmi C. Özgen, 2026.
30 222 0.144465690817 Azmi C. Özgen, 2026.
30 223 0.144722598452 Azmi C. Özgen, 2026.
30 224 0.144845663263 Azmi C. Özgen, 2026.
30 225 0.145106790465 Azmi C. Özgen, 2026.
30 226 0.145252099785 Azmi C. Özgen, 2026.
30 227 0.145530979454 Azmi C. Özgen, 2026.
30 228 0.145869639042 Azmi C. Özgen, 2026.
30 229 0.146236438193 Azmi C. Özgen, 2026.
30 230 0.146299205249 Azmi C. Özgen, 2026.
30 231 0.146311683714 Azmi C. Özgen, 2026.
30 232 0.146625803302 Pavlos Moros, 2026.
30 233 0.146666781299 Pavlos Moros, 2026.
30 234 0.146807639812 Azmi C. Özgen, 2026.
30 235 0.146992845464 Azmi C. Özgen, 2026.
30 241 0.147102976680 Henry Cohn, 2026.
87⁢x2−6⁢x−1
30 242 0.147613860490 Pavlos Moros, 2026.
30 243 0.147633859638 Pavlos Moros, 2026.
30 244 0.147649784743 Pavlos Moros, 2026.
30 245 0.147707709539 Azmi C. Özgen, 2026.
30 246 0.147817514439 Azmi C. Özgen, 2026.
30 247 0.147888467219 Azmi C. Özgen, 2026.
30 248 0.147933560246 Azmi C. Özgen, 2026.
30 249 0.147966737411 Azmi C. Özgen, 2026.
30 250 0.147988355677 Azmi C. Özgen, 2026.
30 251 0.148047676130 Azmi C. Özgen, 2026.
30 252 0.148267710217 Azmi C. Özgen, 2026.
30 253 0.148372181817 Azmi C. Özgen, 2026.
30 254 0.148915406620 Azmi C. Özgen, 2026.
30 255 0.149505158784 Azmi C. Özgen, 2026.
30 256 0.149777486861 Azmi C. Özgen, 2026.
30 257 0.150517697004 Azmi C. Özgen, 2026.
30 258 0.150741430916 Azmi C. Özgen, 2026.
30 259 0.151503333879 Azmi C. Özgen, 2026.
30 260 0.152133181137 Azmi C. Özgen, 2026.
30 261 0.152974305265 Azmi C. Özgen, 2026.
30 262 0.153584918103 Azmi C. Özgen, 2026.
30 263 0.153997081641 Azmi C. Özgen, 2026.
30 264 0.154286832076 Robert Dallara, 2026.
30 265 0.155262019236 Azmi C. Özgen, 2026.
30 266 0.155928017594 Azmi C. Özgen, 2026.
30 267 0.156610570129 Azmi C. Özgen, 2026.
30 268 0.157233002085 Azmi C. Özgen, 2026.
30 269 0.157984513263 Azmi C. Özgen, 2026.
30 270 0.158694924241 Azmi C. Özgen, 2026.
30 271 0.159306155030 Azmi C. Özgen, 2026.
30 272 0.160041338776 Azmi C. Özgen, 2026.
30 273 0.160607298436 Azmi C. Özgen, 2026.
30 274 0.161194265611 Azmi C. Özgen, 2026.
30 275 0.161742519008 Azmi C. Özgen, 2026.
30 276 0.161776049261 Azmi C. Özgen, 2026.
30 277 0.161795844796 Azmi C. Özgen, 2026.
30 278 0.161859499285 Azmi C. Özgen, 2026.
30 279 0.161861960864 Azmi C. Özgen, 2026.
30 280 0.161895905596 Azmi C. Özgen, 2026.
30 281 0.161930262737 Azmi C. Özgen, 2026.
30 282 0.161973369432 Azmi C. Özgen, 2026.
30 283 0.162087331195 Azmi C. Özgen, 2026.
30 284 0.162159287988 Azmi C. Özgen, 2026.
30 285 0.162323758521 Azmi C. Özgen, 2026.
30 286 0.162491252095 Azmi C. Özgen, 2026.
30 287 0.162747648528 Azmi C. Özgen, 2026.
30 288 0.162853753243 Azmi C. Özgen, 2026.
30 289 0.162970526234 Azmi C. Özgen, 2026.
30 290 0.163058830106 Azmi C. Özgen, 2026.
30 291 0.163149675170 Azmi C. Özgen, 2026.
30 292 0.163238363390 Azmi C. Özgen, 2026.
30 293 0.163279440055 Azmi C. Özgen, 2026.
30 294 0.163348822490 Azmi C. Özgen, 2026.
30 295 0.163437116701 Azmi C. Özgen, 2026.
30 296 0.163467566557 Azmi C. Özgen, 2026.
30 297 0.163549479444 Azmi C. Özgen, 2026.
30 298 0.163661941104 Azmi C. Özgen, 2026.
30 299 0.163783689527 Azmi C. Özgen, 2026.
30 300 0.163872042367 Azmi C. Özgen, 2026.
30 301 0.163991535686 Azmi C. Özgen, 2026.
30 302 0.164082912931 Azmi C. Özgen, 2026.
30 303 0.164340808678 Azmi C. Özgen, 2026.
30 304 0.164423746557 Azmi C. Özgen, 2026.
30 305 0.164516304446 Azmi C. Özgen, 2026.
30 306 0.164619451308 Azmi C. Özgen, 2026.
30 307 0.164656024692 Azmi C. Özgen, 2026.
30 308 0.164832465462 Azmi C. Özgen, 2026.
30 309 0.164877607617 Azmi C. Özgen, 2026.
30 310 0.164915759691 Azmi C. Özgen, 2026.
30 311 0.165060061403 Azmi C. Özgen, 2026.
30 312 0.165114543858 Azmi C. Özgen, 2026.
30 313 0.165159494048 Azmi C. Özgen, 2026.
30 314 0.165237841548 Azmi C. Özgen, 2026.
30 315 0.165304333549 Azmi C. Özgen, 2026.
30 316 0.165369497284 Azmi C. Özgen, 2026.
30 317 0.165453201596 Azmi C. Özgen, 2026.
30 318 0.165546669859 Azmi C. Özgen, 2026.
30 319 0.165665669094 Azmi C. Özgen, 2026.
30 320 0.165694191837 Azmi C. Özgen, 2026.
30 321 0.165735938028 Azmi C. Özgen, 2026.
30 322 0.165916850317 Azmi C. Özgen, 2026.
30 323 0.166008871469 Azmi C. Özgen, 2026.
30 324 0.166068336011 Azmi C. Özgen, 2026.
30 325 0.166244062114 Azmi C. Özgen, 2026.
30 326 0.166298641983 Azmi C. Özgen, 2026.
30 327 0.166459593045 Azmi C. Özgen, 2026.
30 328 0.166478396057 Azmi C. Özgen, 2026.
30 329 0.166504361024 Azmi C. Özgen, 2026.
30 330 0.166521767571 Azmi C. Özgen, 2026.
30 331 0.166567766033 Azmi C. Özgen, 2026.
30 351 0.166666666667 Henry Cohn, 2026.
6⁢x−1
30 352 0.167011582191 Azmi C. Özgen, 2026.
30 353 0.167011724563 Azmi C. Özgen, 2026.
30 354 0.167011867691 Azmi C. Özgen, 2026.
30 355 0.167012043072 Azmi C. Özgen, 2026.
30 356 0.167012259715 Azmi C. Özgen, 2026.
30 357 0.167012453824 Azmi C. Özgen, 2026.
30 358 0.167012776597 Azmi C. Özgen, 2026.
30 359 0.167013056692 Azmi C. Özgen, 2026.
30 360 0.167013273810 Azmi C. Özgen, 2026.
30 361 0.167030242010 Azmi C. Özgen, 2026.
30 362 0.167225316897 Azmi C. Özgen, 2026.
30 363 0.167228568580 Azmi C. Özgen, 2026.
30 364 0.167847038067 Azmi C. Özgen, 2026.
30 365 0.169309511617 Azmi C. Özgen, 2026.
30 366 0.171208786385 Azmi C. Özgen, 2026.
30 367 0.172740756546 Azmi C. Özgen, 2026.
30 368 0.173564765805 Azmi C. Özgen, 2026.
30 369 0.174795813920 Azmi C. Özgen, 2026.
30 370 0.175818320742 Azmi C. Özgen, 2026.
30 371 0.176058742822 Azmi C. Özgen, 2026.
30 372 0.177300003880 Azmi C. Özgen, 2026.
30 373 0.177369313167 Azmi C. Özgen, 2026.
30 374 0.178645344389 Azmi C. Özgen, 2026.
30 375 0.179030369862 Azmi C. Özgen, 2026.
30 376 0.179310173243 Azmi C. Özgen, 2026.
30 377 0.180176745201 Azmi C. Özgen, 2026.
30 378 0.180883951064 Azmi C. Özgen, 2026.
30 379 0.181475381413 Azmi C. Özgen, 2026.
30 380 0.182038906257 Azmi C. Özgen, 2026.
30 381 0.182580177739 Azmi C. Özgen, 2026.
30 382 0.182937748546 Azmi C. Özgen, 2026.
30 383 0.184128445783 Azmi C. Özgen, 2026.
30 384 0.185086827765 Azmi C. Özgen, 2026.
30 385 0.185866042612 Azmi C. Özgen, 2026.
30 386 0.186682435506 Azmi C. Özgen, 2026.
30 387 0.187604478124 Azmi C. Özgen, 2026.
30 388 0.188103320465 Azmi C. Özgen, 2026.
30 389 0.188143128756 Azmi C. Özgen, 2026.
30 390 0.188342245817 Azmi C. Özgen, 2026.
30 391 0.188834580719 Azmi C. Özgen, 2026.
30 392 0.188929817460 Azmi C. Özgen, 2026.
30 393 0.189064033327 Azmi C. Özgen, 2026.
30 394 0.189078190534 Azmi C. Özgen, 2026.
30 395 0.189485993244 Azmi C. Özgen, 2026.
30 396 0.189727055569 Azmi C. Özgen, 2026.
30 397 0.189994626590 Azmi C. Özgen, 2026.
30 398 0.190404165342 Azmi C. Özgen, 2026.
30 399 0.190607026565 Azmi C. Özgen, 2026.
30 400 0.190725251456 Azmi C. Özgen, 2026.
30 401 0.190977162138 Azmi C. Özgen, 2026.
30 402 0.191387905427 Azmi C. Özgen, 2026.
30 403 0.191600569844 Azmi C. Özgen, 2026.
30 404 0.191758035108 Azmi C. Özgen, 2026.
30 405 0.192100580359 Azmi C. Özgen, 2026.
30 406 0.192361605248 Azmi C. Özgen, 2026.
30 407 0.192609746771 Azmi C. Özgen, 2026.
30 408 0.192810497698 Azmi C. Özgen, 2026.
30 409 0.192972252122 Azmi C. Özgen, 2026.
30 410 0.193420496086 Azmi C. Özgen, 2026.
30 411 0.193653935652 Azmi C. Özgen, 2026.
30 412 0.193814376864 Azmi C. Özgen, 2026.
30 460 0.194630872484 Henry Cohn, 2026.
149⁢x−29
30 461 0.194758074821 Azmi C. Özgen, 2026.
30 462 0.194846178842 Azmi C. Özgen, 2026.
30 463 0.194848241752 Azmi C. Özgen, 2026.
30 464 0.194854138427 Azmi C. Özgen, 2026.
30 465 0.194855085876 Azmi C. Özgen, 2026.
30 466 0.195268903643 Azmi C. Özgen, 2026.
30 467 0.195935251064 Azmi C. Özgen, 2026.
30 468 0.198361516254 Azmi C. Özgen, 2026.
30 469 0.198415532477 Azmi C. Özgen, 2026.
30 470 0.198429752944 Azmi C. Özgen, 2026.
30 471 0.198509136408 Azmi C. Özgen, 2026.
30 472 0.198565677539 Azmi C. Özgen, 2026.
30 473 0.198613681666 Azmi C. Özgen, 2026.
30 474 0.198657327998 Azmi C. Özgen, 2026.
30 475 0.198748064365 Azmi C. Özgen, 2026.
30 476 0.198815307804 Azmi C. Özgen, 2026.
30 477 0.198847575435 Azmi C. Özgen, 2026.
30 478 0.198867570288 Azmi C. Özgen, 2026.
30 479 0.198924624195 Azmi C. Özgen, 2026.
30 480 0.198971044115 Azmi C. Özgen, 2026.
30 481 0.198983055776 Azmi C. Özgen, 2026.
30 482 0.198989226388 Azmi C. Özgen, 2026.
30 483 0.198999965530 Azmi C. Özgen, 2026.
30 484 0.199036621773 Azmi C. Özgen, 2026.
30 485 0.199078631418 Azmi C. Özgen, 2026.
30 486 0.199120449408 Azmi C. Özgen, 2026.
30 487 0.199139649238 Azmi C. Özgen, 2026.
30 488 0.199144182789 Azmi C. Özgen, 2026.
30 489 0.199147756971 Azmi C. Özgen, 2026.
30 490 0.199149568900 Azmi C. Özgen, 2026.
30 491 0.199180231930 Azmi C. Özgen, 2026.
30 492 0.199233773032 Azmi C. Özgen, 2026.
30 493 0.199249798923 Azmi C. Özgen, 2026.
30 494 0.199258528804 Azmi C. Özgen, 2026.
30 495 0.199316057917 Azmi C. Özgen, 2026.
30 496 0.199329315714 Azmi C. Özgen, 2026.
30 497 0.199364830232 Azmi C. Özgen, 2026.
30 498 0.199373204080 Azmi C. Özgen, 2026.
30 499 0.199387181228 Azmi C. Özgen, 2026.
30 500 0.199400954550 Azmi C. Özgen, 2026.
30 501 0.199442846241 Azmi C. Özgen, 2026.
30 502 0.199455075313 Azmi C. Özgen, 2026.
30 503 0.199457070956 Azmi C. Özgen, 2026.
30 504 0.199485308978 Azmi C. Özgen, 2026.
30 505 0.199487694288 Azmi C. Özgen, 2026.
30 506 0.199510499217 Azmi C. Özgen, 2026.
30 507 0.199525979224 Azmi C. Özgen, 2026.
30 508 0.199536306292 Azmi C. Özgen, 2026.
30 509 0.199573271182 Azmi C. Özgen, 2026.
30 510 0.199576792969 Azmi C. Özgen, 2026.
30 511 0.199604025745 Azmi C. Özgen, 2026.
30 512 0.199607855984 Azmi C. Özgen, 2026.
30 513 0.199607856079 Azmi C. Özgen, 2026.
30 514 0.199622412356 Azmi C. Özgen, 2026.
30 515 0.199634888352 Azmi C. Özgen, 2026.
30 516 0.199655982465 Azmi C. Özgen, 2026.
30 517 0.199670483652 Azmi C. Özgen, 2026.
30 518 0.199687861147 Azmi C. Özgen, 2026.
30 519 0.199688379373 Azmi C. Özgen, 2026.
30 520 0.199706546525 Azmi C. Özgen, 2026.
30 521 0.199721244659 Azmi C. Özgen, 2026.
30 522 0.199721618058 Azmi C. Özgen, 2026.
30 523 0.199730977877 Azmi C. Özgen, 2026.
30 524 0.199763834944 Azmi C. Özgen, 2026.
30 525 0.199771680354 Azmi C. Özgen, 2026.
30 526 0.199782074081 Azmi C. Özgen, 2026.
30 527 0.199782456161 Azmi C. Özgen, 2026.
30 528 0.199795040577 Azmi C. Özgen, 2026.
30 529 0.199796260398 Azmi C. Özgen, 2026.
30 530 0.199813627741 Azmi C. Özgen, 2026.
30 531 0.199815260212 Azmi C. Özgen, 2026.
30 532 0.199815267282 Azmi C. Özgen, 2026.
30 533 0.199828898255 Azmi C. Özgen, 2026.
30 534 0.199829693411 Azmi C. Özgen, 2026.
30 535 0.199847781521 Azmi C. Özgen, 2026.
30 536 0.199850092215 Azmi C. Özgen, 2026.
30 537 0.199859548660 Azmi C. Özgen, 2026.
30 538 0.199860229708 Azmi C. Özgen, 2026.
30 539 0.199866794010 Azmi C. Özgen, 2026.
30 540 0.199879352180 Azmi C. Özgen, 2026.
30 541 0.199892831520 Henry Cohn, 2026, needs more optimization.
30 656 0.2 Henry Cohn, 2026.
5⁢x−1
30 657 0.203357314598 Henry Cohn, 2026, needs more optimization.
30 658 0.205762857370 Azmi C. Özgen, 2026.
30 659 0.206632973843 Azmi C. Özgen, 2026.
30 660 0.206640693086 Azmi C. Özgen, 2026.
30 661 0.211832115206 Azmi C. Özgen, 2026.
30 662 0.212317609694 Azmi C. Özgen, 2026.
30 663 0.214697170865 Azmi C. Özgen, 2026.
30 664 0.215499437259 Azmi C. Özgen, 2026.
30 665 0.216472802884 Azmi C. Özgen, 2026.
30 666 0.217790140493 Azmi C. Özgen, 2026.
30 667 0.219045427210 Azmi C. Özgen, 2026.
30 668 0.219906884259 Azmi C. Özgen, 2026.
30 669 0.220594318143 Azmi C. Özgen, 2026.
30 671 0.221619147011 Robert Dallara, 2026.
30 672 0.222998651064 Azmi C. Özgen, 2026.
30 673 0.223542956378 Azmi C. Özgen, 2026.
30 674 0.223547931278 Azmi C. Özgen, 2026.
30 675 0.223552629217 Azmi C. Özgen, 2026.
30 676 0.224025114455 Azmi C. Özgen, 2026.
30 677 0.224061716195 Azmi C. Özgen, 2026.
30 678 0.224390453408 Azmi C. Özgen, 2026.
30 679 0.224806631438 Azmi C. Özgen, 2026.
30 680 0.224952483441 Azmi C. Özgen, 2026.
30 681 0.225417289108 Azmi C. Özgen, 2026.
30 682 0.225710096580 Azmi C. Özgen, 2026.
30 683 0.225869217166 Azmi C. Özgen, 2026.
30 684 0.226066597973 Azmi C. Özgen, 2026.
30 685 0.226300506389 Azmi C. Özgen, 2026.
30 686 0.226692276267 Azmi C. Özgen, 2026.
30 687 0.226950053701 Azmi C. Özgen, 2026.
30 688 0.227185042235 Azmi C. Özgen, 2026.
30 689 0.227415053731 Azmi C. Özgen, 2026.
30 690 0.227853397563 Azmi C. Özgen, 2026.
30 691 0.227938860878 Azmi C. Özgen, 2026.
30 692 0.228340788736 Azmi C. Özgen, 2026.
30 693 0.228407670620 Azmi C. Özgen, 2026.
30 694 0.228924810644 Azmi C. Özgen, 2026.
30 695 0.229034931476 Azmi C. Özgen, 2026.
30 696 0.229378958840 Azmi C. Özgen, 2026.
30 697 0.229861305554 Azmi C. Özgen, 2026.
30 698 0.230054600076 Azmi C. Özgen, 2026.
30 699 0.230216613719 Azmi C. Özgen, 2026.
30 700 0.230516913243 Azmi C. Özgen, 2026.
30 701 0.230606218938 Azmi C. Özgen, 2026.
30 702 0.230775164126 Azmi C. Özgen, 2026.
30 703 0.230993024610 Azmi C. Özgen, 2026.
30 704 0.231130924054 Azmi C. Özgen, 2026.
30 705 0.231294651621 Azmi C. Özgen, 2026.
30 706 0.231640665985 Azmi C. Özgen, 2026.
30 707 0.231750791869 Azmi C. Özgen, 2026.
30 708 0.231881069338 Azmi C. Özgen, 2026.
30 709 0.231885313866 Azmi C. Özgen, 2026.
30 710 0.232123099202 Azmi C. Özgen, 2026.
30 711 0.232266944778 Azmi C. Özgen, 2026.
30 712 0.232310872272 Azmi C. Özgen, 2026.
30 713 0.232429794496 Azmi C. Özgen, 2026.
30 714 0.232565766748 Azmi C. Özgen, 2026.
30 715 0.232618717966 Azmi C. Özgen, 2026.
30 716 0.232702139166 Azmi C. Özgen, 2026.
30 717 0.232842358816 Azmi C. Özgen, 2026.
30 718 0.232917431912 Azmi C. Özgen, 2026.
30 719 0.232970667586 Azmi C. Özgen, 2026.
30 720 0.232990866465 Azmi C. Özgen, 2026.
30 721 0.233132531460 Azmi C. Özgen, 2026.
30 722 0.233181765815 Azmi C. Özgen, 2026.
30 723 0.233212405401 Azmi C. Özgen, 2026.
30 724 0.233276581007 Azmi C. Özgen, 2026.
30 725 0.233329871493 Azmi C. Özgen, 2026.
30 726 0.233359278096 Azmi C. Özgen, 2026.
30 727 0.233363512023 Azmi C. Özgen, 2026.
30 728 0.233438527402 Azmi C. Özgen, 2026.
30 729 0.233454570914 Azmi C. Özgen, 2026.
30 730 0.233507140448 Azmi C. Özgen, 2026.
30 731 0.233554658117 Azmi C. Özgen, 2026.
30 732 0.233557413360 Azmi C. Özgen, 2026.
30 733 0.233611837338 Azmi C. Özgen, 2026.
30 734 0.233629878758 Azmi C. Özgen, 2026.
30 735 0.233635127041 Azmi C. Özgen, 2026.
30 736 0.233635130837 Azmi C. Özgen, 2026.
30 737 0.233668617039 Azmi C. Özgen, 2026.
30 738 0.233676110664 Azmi C. Özgen, 2026.
30 739 0.233684705083 Azmi C. Özgen, 2026.
30 740 0.233695852726 Azmi C. Özgen, 2026.
30 741 0.233706899484 Azmi C. Özgen, 2026.
30 742 0.233710724387 Henry Cohn, 2026, needs more optimization.
30 743 0.233710724474 Henry Cohn, 2026, needs more optimization.
30 744 0.233761263651 Azmi C. Özgen, 2026.
30 745 0.233825323946 Azmi C. Özgen, 2026.
30 746 0.233892860514 Azmi C. Özgen, 2026.
30 747 0.233977928346 Azmi C. Özgen, 2026.
30 748 0.234077028567 Azmi C. Özgen, 2026.
30 749 0.236161968983 Azmi C. Özgen, 2026.
30 750 0.237189734112 Azmi C. Özgen, 2026.
30 751 0.238919850093 Azmi C. Özgen, 2026.
30 752 0.238921465201 Azmi C. Özgen, 2026.
30 753 0.238921468844 Azmi C. Özgen, 2026.
30 754 0.238999783464 Azmi C. Özgen, 2026.
30 755 0.239218798920 Azmi C. Özgen, 2026.
30 756 0.239277847623 Azmi C. Özgen, 2026.
30 757 0.239280282140 Azmi C. Özgen, 2026.
30 758 0.239280285672 Azmi C. Özgen, 2026.
30 759 0.239460266570 Azmi C. Özgen, 2026.
30 760 0.239548223038 Pavlos Moros, 2026.
30 761 0.239550186287 Pavlos Moros, 2026.
30 762 0.239552214164 Pavlos Moros, 2026.
30 763 0.239760573514 Azmi C. Özgen, 2026.
30 764 0.240026201650 Azmi C. Özgen, 2026.
30 765 0.240060997442 Azmi C. Özgen, 2026.
30 766 0.240168956167 Azmi C. Özgen, 2026.
30 767 0.240216096486 Azmi C. Özgen, 2026.
30 768 0.240349867945 Azmi C. Özgen, 2026.
30 769 0.240415325448 Azmi C. Özgen, 2026.
30 770 0.240613771979 Azmi C. Özgen, 2026.
30 771 0.240613775508 Azmi C. Özgen, 2026.
30 772 0.240687023111 Azmi C. Özgen, 2026.
30 773 0.240884990887 Azmi C. Özgen, 2026.
30 774 0.240991556839 Azmi C. Özgen, 2026.
30 775 0.241235469314 Azmi C. Özgen, 2026.
30 776 0.241322827216 Azmi C. Özgen, 2026.
30 777 0.241492136557 Azmi C. Özgen, 2026.
30 778 0.241614990959 Azmi C. Özgen, 2026.
30 779 0.241712013993 Azmi C. Özgen, 2026.
30 780 0.241716208390 Azmi C. Özgen, 2026.
30 781 0.241718303799 Azmi C. Özgen, 2026.
30 782 0.241718307904 Azmi C. Özgen, 2026.
30 783 0.241803055123 Azmi C. Özgen, 2026.
30 784 0.241821991623 Azmi C. Özgen, 2026.
30 785 0.241966545054 Azmi C. Özgen, 2026.
30 786 0.242111444646 Azmi C. Özgen, 2026.
30 787 0.242283002834 Azmi C. Özgen, 2026.
30 788 0.242370090413 Azmi C. Özgen, 2026.
30 789 0.242411095511 Azmi C. Özgen, 2026.
30 790 0.242429383650 Azmi C. Özgen, 2026.
30 791 0.242541850953 Azmi C. Özgen, 2026.
30 792 0.242541851071 Azmi C. Özgen, 2026.
30 793 0.242650055831 Azmi C. Özgen, 2026.
30 794 0.242751710398 Azmi C. Özgen, 2026.
30 795 0.242844676324 Azmi C. Özgen, 2026.
30 796 0.242975723138 Azmi C. Özgen, 2026.
30 797 0.243006855101 Azmi C. Özgen, 2026.
30 798 0.243275216590 Azmi C. Özgen, 2026.
30 799 0.243338015652 Azmi C. Özgen, 2026.
30 800 0.243442790811 Azmi C. Özgen, 2026.
30 801 0.243567110155 Azmi C. Özgen, 2026.
30 802 0.243635290708 Azmi C. Özgen, 2026.
30 803 0.243635290826 Azmi C. Özgen, 2026.
30 804 0.243755532635 Azmi C. Özgen, 2026.
30 805 0.244012071723 Azmi C. Özgen, 2026.
30 806 0.244137411545 Azmi C. Özgen, 2026.
30 807 0.244137414790 Azmi C. Özgen, 2026.
30 808 0.244221429635 Azmi C. Özgen, 2026.
30 809 0.244251684270 Azmi C. Özgen, 2026.
30 810 0.244281582122 Azmi C. Özgen, 2026.
30 811 0.244355272151 Azmi C. Özgen, 2026.
30 812 0.244483781226 Azmi C. Özgen, 2026.
30 813 0.244661275743 Azmi C. Özgen, 2026.
30 814 0.244666577871 Azmi C. Özgen, 2026.
30 815 0.244672985311 Azmi C. Özgen, 2026.
30 816 0.244794110055 Azmi C. Özgen, 2026.
30 817 0.244795822545 Azmi C. Özgen, 2026.
30 818 0.244795826395 Azmi C. Özgen, 2026.
30 819 0.244886937524 Azmi C. Özgen, 2026.
30 820 0.245034926739 Azmi C. Özgen, 2026.
30 821 0.245046159390 Azmi C. Özgen, 2026.
30 822 0.245167632557 Azmi C. Özgen, 2026.
30 823 0.245302761344 Azmi C. Özgen, 2026.
30 824 0.245346641853 Azmi C. Özgen, 2026.
30 825 0.245445632553 Azmi C. Özgen, 2026.
30 826 0.245542765678 Azmi C. Özgen, 2026.
30 827 0.245586279075 Azmi C. Özgen, 2026.
30 828 0.245586283567 Azmi C. Özgen, 2026.
30 829 0.245643100989 Azmi C. Özgen, 2026.
30 830 0.245643105008 Azmi C. Özgen, 2026.
30 831 0.245769247029 Azmi C. Özgen, 2026.
30 832 0.245912663088 Azmi C. Özgen, 2026.
30 833 0.245912669609 Azmi C. Özgen, 2026.
30 834 0.245925899586 Azmi C. Özgen, 2026.
30 835 0.246058703181 Azmi C. Özgen, 2026.
30 836 0.246156186687 Azmi C. Özgen, 2026.
30 837 0.246193169093 Azmi C. Özgen, 2026.
30 838 0.246267474337 Azmi C. Özgen, 2026.
30 839 0.246267474484 Azmi C. Özgen, 2026.
30 840 0.246267479385 Azmi C. Özgen, 2026.
30 841 0.246296817483 Azmi C. Özgen, 2026.
30 842 0.246372726758 Azmi C. Özgen, 2026.
30 843 0.246497863251 Azmi C. Özgen, 2026.
30 844 0.246567014415 Azmi C. Özgen, 2026.
30 845 0.246667308022 Azmi C. Özgen, 2026.
30 846 0.246705534421 Azmi C. Özgen, 2026.
30 847 0.246818518710 Azmi C. Özgen, 2026.
30 848 0.246923910270 Azmi C. Özgen, 2026.
30 849 0.246947028825 Azmi C. Özgen, 2026.
30 850 0.246981452225 Azmi C. Özgen, 2026.
30 851 0.246981455841 Azmi C. Özgen, 2026.
30 852 0.246992424307 Azmi C. Özgen, 2026.
30 853 0.247105993463 Azmi C. Özgen, 2026.
30 854 0.247140934580 Azmi C. Özgen, 2026.
30 855 0.247140934762 Azmi C. Özgen, 2026.
30 856 0.247140938194 Azmi C. Özgen, 2026.
30 857 0.247156870999 Azmi C. Özgen, 2026.
30 858 0.247225075560 Azmi C. Özgen, 2026.
30 859 0.247254938226 Azmi C. Özgen, 2026.
30 860 0.247291862656 Azmi C. Özgen, 2026.
30 861 0.247303427104 Azmi C. Özgen, 2026.
30 862 0.247358594529 Azmi C. Özgen, 2026.
30 863 0.247389513218 Azmi C. Özgen, 2026.
30 864 0.247473927470 Azmi C. Özgen, 2026.
30 865 0.247568053048 Azmi C. Özgen, 2026.
30 866 0.247568058117 Azmi C. Özgen, 2026.
30 867 0.247624401330 Azmi C. Özgen, 2026.
30 868 0.247657153376 Azmi C. Özgen, 2026.
30 869 0.247733605662 Azmi C. Özgen, 2026.
30 870 0.247792913645 Azmi C. Özgen, 2026.
30 871 0.247834343804 Azmi C. Özgen, 2026.
30 872 0.247834349318 Azmi C. Özgen, 2026.
30 873 0.247849415714 Azmi C. Özgen, 2026.
30 874 0.247849415944 Azmi C. Özgen, 2026.
30 875 0.247849421867 Azmi C. Özgen, 2026.
30 876 0.247915498507 Azmi C. Özgen, 2026.
30 877 0.247964110954 Azmi C. Özgen, 2026.
30 878 0.247965619621 Azmi C. Özgen, 2026.
30 879 0.247965619626 Azmi C. Özgen, 2026.
30 880 0.247994723965 Azmi C. Özgen, 2026.
30 881 0.248094037809 Azmi C. Özgen, 2026.
30 882 0.248117207478 Azmi C. Özgen, 2026.
30 883 0.248160032902 Azmi C. Özgen, 2026.
30 884 0.248188628743 Azmi C. Özgen, 2026.
30 885 0.248188633960 Azmi C. Özgen, 2026.
30 886 0.248248989178 Azmi C. Özgen, 2026.
30 887 0.248258592181 Azmi C. Özgen, 2026.
30 888 0.248302168005 Azmi C. Özgen, 2026.
30 889 0.248337391123 Azmi C. Özgen, 2026.
30 890 0.248337396445 Azmi C. Özgen, 2026.
30 891 0.248353644769 Azmi C. Özgen, 2026.
30 892 0.248392166412 Azmi C. Özgen, 2026.
30 893 0.248422043235 Azmi C. Özgen, 2026.
30 894 0.248446172694 Azmi C. Özgen, 2026.
30 895 0.248446172824 Azmi C. Özgen, 2026.
30 896 0.248446172830 Azmi C. Özgen, 2026.
30 897 0.248446179154 Azmi C. Özgen, 2026.
30 898 0.248501242009 Azmi C. Özgen, 2026.
30 899 0.248512875314 Azmi C. Özgen, 2026.
30 900 0.248550085693 Azmi C. Özgen, 2026.
30 901 0.248550093689 Azmi C. Özgen, 2026.
30 902 0.248608481271 Azmi C. Özgen, 2026.
30 903 0.248617389902 Azmi C. Özgen, 2026.
30 905 0.248619163142 Azmi C. Özgen, 2026.
30 906 0.248619163154 Azmi C. Özgen, 2026.
30 907 0.248619169492 Azmi C. Özgen, 2026.
30 908 0.248627667051 Azmi C. Özgen, 2026.
30 909 0.248680918169 Azmi C. Özgen, 2026.
30 910 0.248742880470 Azmi C. Özgen, 2026.
30 911 0.248742880637 Azmi C. Özgen, 2026.
30 912 0.248742880641 Henry Cohn, 2026, needs more optimization.
30 913 0.248742887113 Azmi C. Özgen, 2026.
30 914 0.248766101768 Azmi C. Özgen, 2026.
30 915 0.248781786213 Pavlos Moros, 2026.
30 916 0.248781886213 Pavlos Moros, 2026.
30 917 0.248822091021 Pavlos Moros, 2026.
30 918 0.248830307463 Pavlos Moros, 2026.
30 919 0.248839453479 Pavlos Moros, 2026.
30 920 0.248850678834 Pavlos Moros, 2026.
30 921 0.248859603583 Pavlos Moros, 2026.
30 922 0.248870588671 Pavlos Moros, 2026.
30 923 0.248882961202 Pavlos Moros, 2026.
30 924 0.248897594577 Pavlos Moros, 2026.
30 928 0.248916014779 Pavlos Moros, 2026.
30 929 0.248916114779 Pavlos Moros, 2026.
30 930 0.248930473849 Pavlos Moros, 2026.
30 931 0.248930573849 Pavlos Moros, 2026.
30 932 0.248943937555 Pavlos Moros, 2026.
30 933 0.248944037555 Pavlos Moros, 2026.
30 934 0.248956333231 Pavlos Moros, 2026.
30 935 0.248968226811 Pavlos Moros, 2026.
30 936 0.248981389128 Pavlos Moros, 2026.
30 937 0.248983561645 Pavlos Moros, 2026.
30 938 0.248996140859 Pavlos Moros, 2026.
30 939 0.249007175710 Pavlos Moros, 2026.
30 940 0.249020759372 Pavlos Moros, 2026.
30 941 0.249035937075 Pavlos Moros, 2026.
30 942 0.249039236118 Pavlos Moros, 2026.
30 943 0.249052879051 Pavlos Moros, 2026.
30 944 0.249081244749 Pavlos Moros, 2026.
30 945 0.249082555255 Pavlos Moros, 2026.
30 947 0.249113908655 Pavlos Moros, 2026.
30 948 0.249114008656 Henry Cohn, 2026, needs more optimization.
30 949 0.249114009082 Azmi C. Özgen, 2026.
30 950 0.249114019222 Azmi C. Özgen, 2026.
30 951 0.249129549092 Azmi C. Özgen, 2026.
30 952 0.249155429860 Azmi C. Özgen, 2026.
30 953 0.249155438250 Azmi C. Özgen, 2026.
30 954 0.249170595092 Azmi C. Özgen, 2026.
30 955 0.249215408698 Henry Cohn, 2026, needs more optimization.
30 956 0.249215416549 Azmi C. Özgen, 2026.
30 957 0.249222650785 Azmi C. Özgen, 2026.
30 958 0.249246478759 Azmi C. Özgen, 2026.
30 959 0.249280639846 Azmi C. Özgen, 2026.
30 960 0.249294342874 Azmi C. Özgen, 2026.
30 961 0.249294342881 Azmi C. Özgen, 2026.
30 962 0.249294352211 Azmi C. Özgen, 2026.
30 963 0.249323389712 Azmi C. Özgen, 2026.
30 964 0.249323643740 Azmi C. Özgen, 2026.
30 965 0.249323652704 Azmi C. Özgen, 2026.
30 966 0.249333214971 Henry Cohn, 2026, needs more optimization.
30 967 0.249333215075 Henry Cohn, 2026, needs more optimization.
30 968 0.249333215440 Henry Cohn, 2026, needs more optimization.
30 969 0.249333223162 Henry Cohn, 2026, needs more optimization.
30 970 0.249333230469 Azmi C. Özgen, 2026.
30 971 0.249333741509 Azmi C. Özgen, 2026.
30 972 0.249361256991 Azmi C. Özgen, 2026.
30 973 0.249368504960 Azmi C. Özgen, 2026.
30 974 0.249384333794 Henry Cohn, 2026, needs more optimization.
30 975 0.249384346218 Azmi C. Özgen, 2026.
30 976 0.249409163143 Azmi C. Özgen, 2026.
30 977 0.249427814784 Azmi C. Özgen, 2026.
30 978 0.249427814787 Azmi C. Özgen, 2026.
30 979 0.249427825350 Azmi C. Özgen, 2026.
30 980 0.249433218529 Azmi C. Özgen, 2026.
30 981 0.249450780807 Azmi C. Özgen, 2026.
30 982 0.249454946189 Azmi C. Özgen, 2026.
30 983 0.249454954243 Azmi C. Özgen, 2026.
30 984 0.249474818124 Azmi C. Özgen, 2026.
30 985 0.249494995476 Azmi C. Özgen, 2026.
30 986 0.249500728341 Azmi C. Özgen, 2026.
30 987 0.249500733567 Azmi C. Özgen, 2026.
30 988 0.249515491498 Azmi C. Özgen, 2026.
30 989 0.249515491521 Henry Cohn, 2026, needs more optimization.
30 990 0.249515491666 Henry Cohn, 2026, needs more optimization.
30 991 0.249515491670 Henry Cohn, 2026, needs more optimization.
30 992 0.249515503277 Azmi C. Özgen, 2026.
30 993 0.249537794581 Azmi C. Özgen, 2026.
30 994 0.249543265880 Azmi C. Özgen, 2026.
30 995 0.249545461578 Azmi C. Özgen, 2026.
30 996 0.249554169478 Azmi C. Özgen, 2026.
30 997 0.249562293774 Azmi C. Özgen, 2026.
30 998 0.249562300503 Azmi C. Özgen, 2026.
30 999 0.249562304656 Azmi C. Özgen, 2026.
30 1000 0.249563031432 Azmi C. Özgen, 2026.
30 1001 0.249563035815 Azmi C. Özgen, 2026.
30 1002 0.249563040038 Azmi C. Özgen, 2026.
30 1003 0.249713877411 Azmi C. Özgen, 2026.
30 1004 0.249713877416 Azmi C. Özgen, 2026.
30 1005 0.249713885448 Azmi C. Özgen, 2026.
30 1006 0.249723507816 Azmi C. Özgen, 2026.
30 1007 0.249731938850 Azmi C. Özgen, 2026.
30 1008 0.249734918989 Azmi C. Özgen, 2026.
30 1009 0.249739869471 Henry Cohn, 2026, needs more optimization.
30 1010 0.249739875540 Azmi C. Özgen, 2026.
30 1011 0.249742713934 Azmi C. Özgen, 2026.
30 1012 0.249743134244 Azmi C. Özgen, 2026.
30 1013 0.249743143597 Azmi C. Özgen, 2026.
30 1014 0.249755935364 Azmi C. Özgen, 2026.
30 1015 0.249764645078 Azmi C. Özgen, 2026.
30 1016 0.249764651976 Azmi C. Özgen, 2026.
30 1019 0.249809424201 Pavlos Moros, 2026.
30 1020 0.249809424586 Pavlos Moros, 2026.
30 1021 0.249809444469 Pavlos Moros, 2026.
30 1022 0.249810499639 Pavlos Moros, 2026.
30 1023 0.249810572296 Pavlos Moros, 2026.
30 1024 0.249811499224 Pavlos Moros, 2026.
31 63 0.026092422671 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
26071⁢x3−961⁢x2−31⁢x+1
31 64 0.030322662292 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 65 0.037040536638 Pavlos Moros, 2026.
31 66 0.037249051133 Henry Cohn, 2026, needs more optimization.
31 67 0.038109704996 Henry Cohn, 2026.
31 68 0.041075532616 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 69 0.043092400031 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 70 0.043156377747 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 71 0.044029001585 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 72 0.044564016321 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 73 0.046872508016 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 74 0.047441297082 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 75 0.050052417828 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 76 0.050583924084 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 77 0.051524127124 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 78 0.055152987826 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 79 0.056809635566 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 80 0.058210793301 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 81 0.059519854799 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 82 0.060853400475 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 83 0.061582731661 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 84 0.062187218111 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 85 0.063438707260 Azmi C. Özgen, 2026.
31 86 0.064362086420 Henry Cohn, 2026, needs more optimization.
31 87 0.065597463702 Azmi C. Özgen, 2026.
31 88 0.067035098470 Azmi C. Özgen, 2026.
31 89 0.068506081822 Henry Cohn, 2026, needs more optimization.
31 90 0.069720206572 Henry Cohn, 2026, needs more optimization.
31 91 0.070915695915 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 92 0.071760316922 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 93 0.072795558071 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 94 0.073167668548 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 95 0.074047778646 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 96 0.074288475351 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 97 0.074605482179 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 98 0.076256749092 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 99 0.076844264811 Henry Cohn, 2026, needs more optimization.
31 100 0.076902253773 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 101 0.076929383285 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 102 0.077131938186 Pavlos Moros, 2026.
31 103 0.077229742347 Azmi C. Özgen, 2026.
31 104 0.077365083390 Azmi C. Özgen, 2026.
31 105 0.077802667250 Azmi C. Özgen, 2026.
31 106 0.078186729574 Azmi C. Özgen, 2026.
31 107 0.078393765206 Azmi C. Özgen, 2026.
31 108 0.079505765564 Azmi C. Özgen, 2026.
31 109 0.079671168906 Pavlos Moros, 2026.
31 110 0.080208248533 Azmi C. Özgen, 2026.
31 111 0.080610162014 Henry Cohn, 2026, needs more optimization.
31 112 0.080705998348 Azmi C. Özgen, 2026.
31 113 0.081243640518 Azmi C. Özgen, 2026.
31 114 0.081640024961 Azmi C. Özgen, 2026.
31 115 0.082443743091 Azmi C. Özgen, 2026.
31 116 0.083356167484 Azmi C. Özgen, 2026.
31 117 0.084470837932 Henry Cohn, 2026, needs more optimization.
31 120 0.084959387951 Henry Cohn, 2026.
115⁢x2+2⁢x−1
31 121 0.087382257832 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 122 0.087516194157 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 123 0.088359393816 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 124 0.088576639166 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 125 0.088958387187 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 126 0.089591918809 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 127 0.089599225623 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 128 0.089804123720 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 129 0.090377510283 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 130 0.090648988684 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 131 0.090712237595 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 132 0.091142100782 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 133 0.092202013141 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 134 0.093655093227 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 135 0.094003199532 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 136 0.095022643624 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 137 0.095109673266 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 139 0.095194094773 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 140 0.095268757398 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 141 0.095375293779 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 142 0.095516728140 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 143 0.095628313571 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 144 0.096786288000 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 145 0.097077241294 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 146 0.097123845858 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 147 0.097881679938 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 148 0.099069163988 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 149 0.101300319632 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 150 0.103421955646 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 151 0.104379913165 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 152 0.107156671197 Azmi C. Özgen, 2026.
31 153 0.107454110202 Azmi C. Özgen, 2026.
31 154 0.108890984245 Azmi C. Özgen, 2026.
31 155 0.109449452337 Azmi C. Özgen, 2026.
31 156 0.109606296104 Azmi C. Özgen, 2026.
31 157 0.109930297886 Azmi C. Özgen, 2026.
31 158 0.110436236665 Azmi C. Özgen, 2026.
31 159 0.110678890160 Henry Cohn, 2026, needs more optimization.
31 160 0.110974367480 Pavlos Moros, 2026.
31 161 0.111463197323 Azmi C. Özgen, 2026.
31 162 0.111916866336 Azmi C. Özgen, 2026.
31 163 0.113039202676 Azmi C. Özgen, 2026.
31 164 0.113819978798 Azmi C. Özgen, 2026.
31 165 0.114203565516 Azmi C. Özgen, 2026.
31 166 0.115441107707 Azmi C. Özgen, 2026.
31 167 0.116345367997 Azmi C. Özgen, 2026.
31 168 0.117274753372 Azmi C. Özgen, 2026.
31 169 0.118249860998 Azmi C. Özgen, 2026.
31 170 0.119251105661 Azmi C. Özgen, 2026.
31 171 0.119940536724 Azmi C. Özgen, 2026.
31 172 0.121224968781 Azmi C. Özgen, 2026.
31 173 0.122320108525 Azmi C. Özgen, 2026.
31 174 0.123626185748 Azmi C. Özgen, 2026.
31 175 0.124753328332 Pavlos Moros, 2026.
31 176 0.125599816454 Azmi C. Özgen, 2026.
31 177 0.126340504445 Azmi C. Özgen, 2026.
31 178 0.127037810112 Azmi C. Özgen, 2026.
31 179 0.127657960097 Azmi C. Özgen, 2026.
31 180 0.127763260432 Azmi C. Özgen, 2026.
31 181 0.127936740706 Azmi C. Özgen, 2026.
31 182 0.127977426466 Azmi C. Özgen, 2026.
31 183 0.128087127041 Azmi C. Özgen, 2026.
31 184 0.128135216953 Azmi C. Özgen, 2026.
31 190 0.128236103710 Henry Cohn, 2026, needs more optimization.
31 191 0.128238198028 Pavlos Moros, 2026.
31 192 0.128238265346 Pavlos Moros, 2026.
31 193 0.128238412211 Pavlos Moros, 2026.
31 194 0.128238464046 Henry Cohn, 2026, needs more optimization.
31 195 0.128238549012 Henry Cohn, 2026, needs more optimization.
31 196 0.128238554203 Henry Cohn, 2026, needs more optimization.
31 197 0.128238672694 Henry Cohn, 2026, needs more optimization.
31 198 0.128238675269 Henry Cohn, 2026, needs more optimization.
31 199 0.128238678604 Henry Cohn, 2026, needs more optimization.
31 200 0.128238678652 Henry Cohn, 2026, needs more optimization.
31 206 0.128238684469 Henry Cohn, 2026.
92⁢x2−4⁢x−1
31 207 0.128519770517 Azmi C. Özgen, 2026.
31 208 0.130789421108 Azmi C. Özgen, 2026.
31 209 0.132266261906 Henry Cohn, 2026, needs more optimization.
31 210 0.132694273994 Henry Cohn, 2026, needs more optimization.
31 211 0.132863084586 Henry Cohn, 2026, needs more optimization.
31 212 0.133196820563 Azmi C. Özgen, 2026.
31 213 0.134765245809 Azmi C. Özgen, 2026.
31 214 0.136133569501 Azmi C. Özgen, 2026.
31 215 0.136958689934 Azmi C. Özgen, 2026.
31 216 0.137880808612 Azmi C. Özgen, 2026.
31 217 0.139001764613 Azmi C. Özgen, 2026.
31 218 0.140297936455 Azmi C. Özgen, 2026.
31 219 0.141522554766 Azmi C. Özgen, 2026.
31 220 0.141894315419 Henry Cohn, 2026, needs more optimization.
31 221 0.141954322176 Azmi C. Özgen, 2026.
31 222 0.142011136360 Azmi C. Özgen, 2026.
31 223 0.142062652907 Azmi C. Özgen, 2026.
31 224 0.142142439042 Azmi C. Özgen, 2026.
31 225 0.142326995501 Azmi C. Özgen, 2026.
31 226 0.142579848046 Azmi C. Özgen, 2026.
31 227 0.142943263425 Azmi C. Özgen, 2026.
31 228 0.143145922979 Azmi C. Özgen, 2026.
31 229 0.143788450468 Azmi C. Özgen, 2026.
31 230 0.144069336374 Henry Cohn, 2026, needs more optimization.
31 231 0.144104147746 Azmi C. Özgen, 2026.
31 232 0.144891770049 Azmi C. Özgen, 2026.
31 233 0.145066406090 Azmi C. Özgen, 2026.
31 234 0.145229457444 Azmi C. Özgen, 2026.
31 235 0.145367115117 Azmi C. Özgen, 2026.
31 236 0.145439942265 Azmi C. Özgen, 2026.
31 237 0.145596694902 Azmi C. Özgen, 2026.
31 238 0.145693491428 Azmi C. Özgen, 2026.
31 239 0.145835107011 Azmi C. Özgen, 2026.
31 240 0.145986942856 Azmi C. Özgen, 2026.
31 241 0.145990225304 Azmi C. Özgen, 2026.
31 242 0.146171565264 Azmi C. Özgen, 2026.
31 243 0.146306757405 Azmi C. Özgen, 2026.
31 244 0.146429708622 Azmi C. Özgen, 2026.
31 245 0.146480920989 Azmi C. Özgen, 2026.
31 246 0.146643300312 Azmi C. Özgen, 2026.
31 247 0.146773202507 Azmi C. Özgen, 2026.
31 248 0.146823245222 Azmi C. Özgen, 2026.
31 249 0.147096560668 Azmi C. Özgen, 2026.
31 250 0.147143548452 Azmi C. Özgen, 2026.
31 251 0.147192727945 Azmi C. Özgen, 2026.
31 252 0.147269476966 Azmi C. Özgen, 2026.
31 253 0.147443794990 Azmi C. Özgen, 2026.
31 254 0.147525784727 Azmi C. Özgen, 2026.
31 255 0.147597025542 Azmi C. Özgen, 2026.
31 256 0.147725963686 Azmi C. Özgen, 2026.
31 257 0.147905736941 Azmi C. Özgen, 2026.
31 258 0.148253146288 Azmi C. Özgen, 2026.
31 259 0.148594137838 Azmi C. Özgen, 2026.
31 260 0.148595224714 Azmi C. Özgen, 2026.
31 261 0.148606935223 Azmi C. Özgen, 2026.
31 262 0.149039324402 Azmi C. Özgen, 2026.
31 263 0.149255807666 Azmi C. Özgen, 2026.
31 264 0.149696450304 Azmi C. Özgen, 2026.
31 265 0.150066235199 Azmi C. Özgen, 2026.
31 266 0.150501486248 Azmi C. Özgen, 2026.
31 267 0.150575139074 Azmi C. Özgen, 2026.
31 268 0.150895101401 Azmi C. Özgen, 2026.
31 269 0.151399010216 Azmi C. Özgen, 2026.
31 270 0.151944206624 Azmi C. Özgen, 2026.
31 271 0.152647968658 Azmi C. Özgen, 2026.
31 272 0.152970875570 Azmi C. Özgen, 2026.
31 273 0.154262758798 Azmi C. Özgen, 2026.
31 274 0.154445131501 Azmi C. Özgen, 2026.
31 275 0.154517563964 Azmi C. Özgen, 2026.
31 276 0.155392959539 Azmi C. Özgen, 2026.
31 277 0.155947751350 Azmi C. Özgen, 2026.
31 278 0.156409495275 Azmi C. Özgen, 2026.
31 279 0.156740150569 Azmi C. Özgen, 2026.
31 280 0.157472765679 Azmi C. Özgen, 2026.
31 281 0.158198174694 Azmi C. Özgen, 2026.
31 282 0.158771517819 Azmi C. Özgen, 2026.
31 283 0.159108593720 Azmi C. Özgen, 2026.
31 284 0.159472795335 Azmi C. Özgen, 2026.
31 285 0.160030914908 Azmi C. Özgen, 2026.
31 286 0.160424015135 Azmi C. Özgen, 2026.
31 287 0.160984997814 Azmi C. Özgen, 2026.
31 288 0.161566140745 Azmi C. Özgen, 2026.
31 289 0.161646734572 Azmi C. Özgen, 2026.
31 290 0.161686265531 Azmi C. Özgen, 2026.
31 291 0.161701628132 Azmi C. Özgen, 2026.
31 292 0.161728017692 Azmi C. Özgen, 2026.
31 293 0.161776105569 Azmi C. Özgen, 2026.
31 294 0.161791362708 Azmi C. Özgen, 2026.
31 295 0.161809171741 Pavlos Moros, 2026.
31 296 0.161849087194 Azmi C. Özgen, 2026.
31 297 0.161889965346 Azmi C. Özgen, 2026.
31 298 0.161939840689 Azmi C. Özgen, 2026.
31 299 0.161995520303 Azmi C. Özgen, 2026.
31 300 0.162103507726 Azmi C. Özgen, 2026.
31 301 0.162136073328 Azmi C. Özgen, 2026.
31 302 0.162279414139 Azmi C. Özgen, 2026.
31 303 0.162438525509 Azmi C. Özgen, 2026.
31 304 0.162481500044 Azmi C. Özgen, 2026.
31 305 0.162717677309 Azmi C. Özgen, 2026.
31 306 0.162870459938 Azmi C. Özgen, 2026.
31 307 0.162905701959 Azmi C. Özgen, 2026.
31 308 0.163026393908 Azmi C. Özgen, 2026.
31 309 0.163175839794 Azmi C. Özgen, 2026.
31 310 0.163324510055 Azmi C. Özgen, 2026.
31 311 0.163416411458 Azmi C. Özgen, 2026.
31 312 0.163535268592 Azmi C. Özgen, 2026.
31 313 0.163625646944 Azmi C. Özgen, 2026.
31 314 0.163798896796 Azmi C. Özgen, 2026.
31 315 0.163842837591 Azmi C. Özgen, 2026.
31 316 0.163884414425 Azmi C. Özgen, 2026.
31 317 0.164008157512 Azmi C. Özgen, 2026.
31 318 0.164042669185 Azmi C. Özgen, 2026.
31 319 0.164151978384 Azmi C. Özgen, 2026.
31 320 0.164264046796 Azmi C. Özgen, 2026.
31 321 0.164341790818 Azmi C. Özgen, 2026.
31 322 0.164425955081 Azmi C. Özgen, 2026.
31 323 0.164464116590 Azmi C. Özgen, 2026.
31 324 0.164626887434 Azmi C. Özgen, 2026.
31 325 0.164653294854 Azmi C. Özgen, 2026.
31 326 0.164703508305 Azmi C. Özgen, 2026.
31 327 0.164793306105 Azmi C. Özgen, 2026.
31 328 0.164926727862 Azmi C. Özgen, 2026.
31 329 0.165038954682 Azmi C. Özgen, 2026.
31 330 0.165127844140 Azmi C. Özgen, 2026.
31 331 0.165180903465 Azmi C. Özgen, 2026.
31 332 0.165206280797 Azmi C. Özgen, 2026.
31 333 0.165302565004 Azmi C. Özgen, 2026.
31 334 0.165428241181 Azmi C. Özgen, 2026.
31 335 0.165523573092 Azmi C. Özgen, 2026.
31 336 0.165558394453 Azmi C. Özgen, 2026.
31 337 0.165745362878 Azmi C. Özgen, 2026.
31 338 0.165847809073 Azmi C. Özgen, 2026.
31 339 0.165993069003 Azmi C. Özgen, 2026.
31 340 0.166121017355 Azmi C. Özgen, 2026.
31 341 0.166173056284 Azmi C. Özgen, 2026.
31 342 0.166366059196 Azmi C. Özgen, 2026.
31 343 0.166487981305 Azmi C. Özgen, 2026.
31 344 0.166529683182 Azmi C. Özgen, 2026.
31 351 0.166666666667 Kevin Li, 2026.
6⁢x−1
31 361 0.166666666667 Henry Cohn, 2026.
6⁢x−1
31 362 0.166695855029 Azmi C. Özgen, 2026.
31 363 0.166746530309 Azmi C. Özgen, 2026.
31 364 0.166746530333 Azmi C. Özgen, 2026.
31 365 0.166760537240 Azmi C. Özgen, 2026.
31 366 0.166761108139 Azmi C. Özgen, 2026.
31 367 0.166773038621 Azmi C. Özgen, 2026.
31 368 0.166825459821 Azmi C. Özgen, 2026.
31 369 0.166825654180 Azmi C. Özgen, 2026.
31 370 0.166983999465 Azmi C. Özgen, 2026.
31 371 0.167129090973 Azmi C. Özgen, 2026.
31 372 0.167600195220 Azmi C. Özgen, 2026.
31 373 0.167965093827 Azmi C. Özgen, 2026.
31 374 0.168174009639 Azmi C. Özgen, 2026.
31 375 0.169809461944 Azmi C. Özgen, 2026.
31 376 0.170772126077 Azmi C. Özgen, 2026.
31 377 0.171014972916 Azmi C. Özgen, 2026.
31 378 0.171780312457 Azmi C. Özgen, 2026.
31 379 0.172388391583 Azmi C. Özgen, 2026.
31 380 0.172918079404 Azmi C. Özgen, 2026.
31 381 0.173162814075 Azmi C. Özgen, 2026.
31 382 0.174228556949 Azmi C. Özgen, 2026.
31 383 0.175605325062 Azmi C. Özgen, 2026.
31 384 0.176435755973 Azmi C. Özgen, 2026.
31 385 0.176604311140 Azmi C. Özgen, 2026.
31 386 0.178013296027 Azmi C. Özgen, 2026.
31 387 0.178940335557 Azmi C. Özgen, 2026.
31 388 0.179525235868 Azmi C. Özgen, 2026.
31 389 0.180141505170 Azmi C. Özgen, 2026.
31 390 0.180745810818 Azmi C. Özgen, 2026.
31 391 0.181275690408 Azmi C. Özgen, 2026.
31 392 0.181946374760 Azmi C. Özgen, 2026.
31 393 0.183168672246 Azmi C. Özgen, 2026.
31 394 0.183408350204 Azmi C. Özgen, 2026.
31 395 0.183600237990 Azmi C. Özgen, 2026.
31 396 0.183836778124 Azmi C. Özgen, 2026.
31 397 0.184300258547 Azmi C. Özgen, 2026.
31 398 0.184568035324 Azmi C. Özgen, 2026.
31 399 0.184839787285 Azmi C. Özgen, 2026.
31 400 0.185173142773 Azmi C. Özgen, 2026.
31 401 0.185417289058 Azmi C. Özgen, 2026.
31 402 0.185712749850 Azmi C. Özgen, 2026.
31 403 0.185984532603 Azmi C. Özgen, 2026.
31 404 0.186266614304 Azmi C. Özgen, 2026.
31 405 0.186473585325 Azmi C. Özgen, 2026.
31 406 0.186715211292 Azmi C. Özgen, 2026.
31 407 0.187112430046 Azmi C. Özgen, 2026.
31 408 0.187387164304 Azmi C. Özgen, 2026.
31 409 0.187465278208 Azmi C. Özgen, 2026.
31 410 0.187734177241 Azmi C. Özgen, 2026.
31 411 0.188015903470 Azmi C. Özgen, 2026.
31 412 0.188213600826 Azmi C. Özgen, 2026.
31 413 0.188287702105 Azmi C. Özgen, 2026.
31 414 0.188665038710 Azmi C. Özgen, 2026.
31 415 0.188897662340 Azmi C. Özgen, 2026.
31 416 0.189039786773 Azmi C. Özgen, 2026.
31 417 0.189325442035 Azmi C. Özgen, 2026.
31 418 0.189459360428 Azmi C. Özgen, 2026.
31 419 0.189793951144 Azmi C. Özgen, 2026.
31 420 0.189877068351 Azmi C. Özgen, 2026.
31 421 0.190166504114 Azmi C. Özgen, 2026.
31 422 0.190390275255 Azmi C. Özgen, 2026.
31 423 0.190639648647 Azmi C. Özgen, 2026.
31 424 0.190900183921 Azmi C. Özgen, 2026.
31 425 0.191106049760 Azmi C. Özgen, 2026.
31 426 0.191380089705 Azmi C. Özgen, 2026.
31 427 0.191435564844 Azmi C. Özgen, 2026.
31 428 0.191448543433 Azmi C. Özgen, 2026.
31 429 0.191742158881 Azmi C. Özgen, 2026.
31 430 0.191950331422 Azmi C. Özgen, 2026.
31 431 0.192205890163 Azmi C. Özgen, 2026.
31 432 0.192404582570 Azmi C. Özgen, 2026.
31 433 0.192703518846 Azmi C. Özgen, 2026.
31 434 0.192903162834 Azmi C. Özgen, 2026.
31 435 0.192919416032 Azmi C. Özgen, 2026.
31 436 0.193132833768 Azmi C. Özgen, 2026.
31 437 0.193430187657 Azmi C. Özgen, 2026.
31 438 0.193625384922 Azmi C. Özgen, 2026.
31 439 0.193704956066 Azmi C. Özgen, 2026.
31 473 0.194630872484 Henry Cohn, 2026.
149⁢x−29
31 474 0.194820663763 Azmi C. Özgen, 2026.
31 475 0.197368197763 Azmi C. Özgen, 2026.
31 476 0.197456821957 Azmi C. Özgen, 2026.
31 477 0.197468606026 Azmi C. Özgen, 2026.
31 478 0.197479596484 Azmi C. Özgen, 2026.
31 479 0.197481127883 Azmi C. Özgen, 2026.
31 480 0.197501493939 Azmi C. Özgen, 2026.
31 481 0.197528117416 Azmi C. Özgen, 2026.
31 482 0.197668477264 Azmi C. Özgen, 2026.
31 483 0.197768430515 Azmi C. Özgen, 2026.
31 484 0.197831108159 Azmi C. Özgen, 2026.
31 492 0.197882373569 Robert Dallara, 2026.
31 493 0.198226706642 Azmi C. Özgen, 2026.
31 494 0.198365377887 Azmi C. Özgen, 2026.
31 495 0.198413639591 Azmi C. Özgen, 2026.
31 496 0.198458079834 Azmi C. Özgen, 2026.
31 497 0.198474110548 Azmi C. Özgen, 2026.
31 498 0.198488499365 Azmi C. Özgen, 2026.
31 499 0.198549568846 Azmi C. Özgen, 2026.
31 500 0.198551598517 Azmi C. Özgen, 2026.
31 501 0.198600350642 Azmi C. Özgen, 2026.
31 502 0.198660405255 Azmi C. Özgen, 2026.
31 503 0.198688186713 Azmi C. Özgen, 2026.
31 504 0.198735521781 Azmi C. Özgen, 2026.
31 505 0.198774956235 Azmi C. Özgen, 2026.
31 506 0.198782044042 Azmi C. Özgen, 2026.
31 507 0.198787786334 Azmi C. Özgen, 2026.
31 508 0.198788234802 Azmi C. Özgen, 2026.
31 509 0.198862309276 Azmi C. Özgen, 2026.
31 510 0.198893515077 Azmi C. Özgen, 2026.
31 511 0.198895655125 Azmi C. Özgen, 2026.
31 512 0.198996772882 Azmi C. Özgen, 2026.
31 513 0.199015381667 Azmi C. Özgen, 2026.
31 514 0.199019954399 Azmi C. Özgen, 2026.
31 515 0.199022601613 Azmi C. Özgen, 2026.
31 516 0.199105373850 Azmi C. Özgen, 2026.
31 517 0.199109128216 Azmi C. Özgen, 2026.
31 518 0.199155314048 Azmi C. Özgen, 2026.
31 519 0.199158873609 Azmi C. Özgen, 2026.
31 520 0.199209639642 Azmi C. Özgen, 2026.
31 521 0.199222795823 Azmi C. Özgen, 2026.
31 522 0.199223209877 Azmi C. Özgen, 2026.
31 523 0.199254962485 Pavlos Moros, 2026.
31 524 0.199255123552 Pavlos Moros, 2026.
31 525 0.199264644568 Pavlos Moros, 2026.
31 526 0.199273038436 Pavlos Moros, 2026.
31 527 0.199280821941 Pavlos Moros, 2026.
31 528 0.199282744155 Pavlos Moros, 2026.
31 529 0.199293675768 Pavlos Moros, 2026.
31 530 0.199312824328 Azmi C. Özgen, 2026.
31 531 0.199315514826 Azmi C. Özgen, 2026.
31 532 0.199318247767 Azmi C. Özgen, 2026.
31 533 0.199327464813 Azmi C. Özgen, 2026.
31 534 0.199354955192 Azmi C. Özgen, 2026.
31 535 0.199358222844 Azmi C. Özgen, 2026.
31 536 0.199380177161 Azmi C. Özgen, 2026.
31 537 0.199386115996 Azmi C. Özgen, 2026.
31 538 0.199417109356 Azmi C. Özgen, 2026.
31 539 0.199435292788 Azmi C. Özgen, 2026.
31 540 0.199453281455 Azmi C. Özgen, 2026.
31 541 0.199477856504 Azmi C. Özgen, 2026.
31 542 0.199483544875 Azmi C. Özgen, 2026.
31 543 0.199483930948 Azmi C. Özgen, 2026.
31 544 0.199513141606 Azmi C. Özgen, 2026.
31 545 0.199527306762 Azmi C. Özgen, 2026.
31 546 0.199540472385 Azmi C. Özgen, 2026.
31 547 0.199569509149 Azmi C. Özgen, 2026.
31 548 0.199579215681 Azmi C. Özgen, 2026.
31 549 0.199593426411 Azmi C. Özgen, 2026.
31 550 0.199594026371 Azmi C. Özgen, 2026.
31 551 0.199603773556 Azmi C. Özgen, 2026.
31 552 0.199629246906 Azmi C. Özgen, 2026.
31 553 0.199638862181 Azmi C. Özgen, 2026.
31 554 0.199638869353 Azmi C. Özgen, 2026.
31 555 0.199647691402 Azmi C. Özgen, 2026.
31 556 0.199670454548 Henry Cohn, 2026, needs more optimization.
31 557 0.199670469583 Azmi C. Özgen, 2026.
31 558 0.199687737060 Azmi C. Özgen, 2026.
31 559 0.199688726740 Azmi C. Özgen, 2026.
31 560 0.199703988917 Azmi C. Özgen, 2026.
31 561 0.199711707471 Azmi C. Özgen, 2026.
31 562 0.199717892506 Azmi C. Özgen, 2026.
31 563 0.199718377766 Azmi C. Özgen, 2026.
31 564 0.199728667511 Azmi C. Özgen, 2026.
31 565 0.199728678997 Azmi C. Özgen, 2026.
31 566 0.199752214478 Azmi C. Özgen, 2026.
31 567 0.199752583044 Azmi C. Özgen, 2026.
31 568 0.199760788649 Azmi C. Özgen, 2026.
31 569 0.199764048260 Azmi C. Özgen, 2026.
31 570 0.199765884017 Azmi C. Özgen, 2026.
31 571 0.199765893895 Azmi C. Özgen, 2026.
31 572 0.199779645510 Azmi C. Özgen, 2026.
31 573 0.199780534783 Azmi C. Özgen, 2026.
31 574 0.199804646844 Azmi C. Özgen, 2026.
31 575 0.199807398672 Azmi C. Özgen, 2026.
31 576 0.199807411175 Azmi C. Özgen, 2026.
31 577 0.199824418589 Azmi C. Özgen, 2026.
31 578 0.199824418595 Azmi C. Özgen, 2026.
31 579 0.199824430944 Azmi C. Özgen, 2026.
31 580 0.199824963411 Azmi C. Özgen, 2026.
31 581 0.199831740781 Azmi C. Özgen, 2026.
31 582 0.199844142007 Azmi C. Özgen, 2026.
31 583 0.199844152732 Azmi C. Özgen, 2026.
31 584 0.199856576567 Azmi C. Özgen, 2026.
31 585 0.199856583177 Azmi C. Özgen, 2026.
31 688 0.2 Henry Cohn, 2026.
5⁢x−1
31 696 0.2 Azmi C. Özgen, 2026.
5⁢x−1
31 697 0.212607638732 Azmi C. Özgen, 2026.
31 698 0.215546829545 Azmi C. Özgen, 2026.
31 699 0.218442781852 Azmi C. Özgen, 2026.
31 700 0.218708970398 Azmi C. Özgen, 2026.
31 701 0.218933971294 Azmi C. Özgen, 2026.
31 702 0.219265733932 Azmi C. Özgen, 2026.
31 703 0.219517023992 Azmi C. Özgen, 2026.
31 704 0.219796260351 Azmi C. Özgen, 2026.
31 705 0.220126824956 Azmi C. Özgen, 2026.
31 706 0.220234428704 Azmi C. Özgen, 2026.
31 707 0.220554233520 Azmi C. Özgen, 2026.
31 708 0.220850911209 Azmi C. Özgen, 2026.
31 709 0.221051299761 Azmi C. Özgen, 2026.
31 710 0.221369808805 Azmi C. Özgen, 2026.
31 711 0.221647377862 Azmi C. Özgen, 2026.
31 712 0.221895522686 Azmi C. Özgen, 2026.
31 713 0.222134250241 Azmi C. Özgen, 2026.
31 714 0.222428077578 Azmi C. Özgen, 2026.
31 715 0.222750033481 Azmi C. Özgen, 2026.
31 716 0.222888942078 Azmi C. Özgen, 2026.
31 717 0.223249329143 Azmi C. Özgen, 2026.
31 718 0.223509600347 Azmi C. Özgen, 2026.
31 719 0.223758327254 Azmi C. Özgen, 2026.
31 720 0.223986389135 Azmi C. Özgen, 2026.
31 721 0.224201436091 Azmi C. Özgen, 2026.
31 722 0.224541786762 Azmi C. Özgen, 2026.
31 723 0.224685694718 Azmi C. Özgen, 2026.
31 724 0.225033107654 Azmi C. Özgen, 2026.
31 725 0.225177398909 Azmi C. Özgen, 2026.
31 726 0.225438630739 Azmi C. Özgen, 2026.
31 1024 0.225806451613 Kevin Li, 2026.
31⁢x−7
32 65 0.025347196752 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
28800⁢x3−1024⁢x2−32⁢x+1
32 66 0.029428688951 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 67 0.036050731887 Henry Cohn, 2026, needs more optimization.
32 68 0.036921898559 Henry Cohn, 2026.
32 69 0.037652090605 Henry Cohn, 2026.
32 70 0.040021896221 Azmi C. Özgen, 2026.
32 71 0.042706545493 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 72 0.042798170341 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 73 0.043467269975 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 74 0.043761897420 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 75 0.046379356397 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 76 0.046402334547 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 77 0.048469763910 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 78 0.049325951233 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 79 0.051140555429 Pavlos Moros, 2026.
32 80 0.053536439382 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 81 0.055107204404 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 82 0.056480445570 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 83 0.057848022736 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 84 0.059120503871 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 85 0.060305120262 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 86 0.061632231469 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 87 0.062553751474 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 88 0.062777635981 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 89 0.063491952273 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 90 0.065174391708 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 91 0.066911028790 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 92 0.067975618109 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 93 0.068547238089 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 94 0.070050308111 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 95 0.070177055909 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 96 0.070316108972 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 97 0.070666286606 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 98 0.070821861473 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 99 0.071000311757 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 100 0.071062951170 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 101 0.074910052250 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 102 0.076136905705 Azmi C. Özgen, 2026.
32 103 0.076657591236 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 104 0.076816334352 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 106 0.076944364445 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 107 0.077283621510 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 108 0.077440301537 Pavlos Moros, 2026.
32 109 0.077691551440 Pavlos Moros, 2026.
32 110 0.077978641842 Henry Cohn, 2026, needs more optimization.
32 111 0.078854823868 Azmi C. Özgen, 2026.
32 112 0.078983053821 Azmi C. Özgen, 2026.
32 113 0.079889345502 Azmi C. Özgen, 2026.
32 114 0.080426801869 Azmi C. Özgen, 2026.
32 115 0.080579468895 Azmi C. Özgen, 2026.
32 116 0.080687246796 Azmi C. Özgen, 2026.
32 117 0.080895377654 Robert Dallara, 2026.
32 118 0.081128936404 Azmi C. Özgen, 2026.
32 119 0.082491549310 Azmi C. Özgen, 2026.
32 120 0.083459767957 Azmi C. Özgen, 2026.
32 121 0.084267209896 Azmi C. Özgen, 2026.
32 122 0.084291754582 Azmi C. Özgen, 2026.
32 123 0.084400654933 Henry Cohn, 2026, needs more optimization.
32 124 0.085078033943 Pavlos Moros, 2026.
32 125 0.086128617534 Azmi C. Özgen, 2026.
32 126 0.086637316923 Azmi C. Özgen, 2026.
32 127 0.087358045507 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 128 0.087392988271 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 129 0.087425121814 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 130 0.087432464289 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 131 0.087494908876 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 132 0.088473191143 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 133 0.089357358433 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 134 0.089446066631 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 135 0.090077107899 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 136 0.090628053770 Pavlos Moros, 2026.
32 137 0.091762398560 Azmi C. Özgen, 2026.
32 138 0.092489592149 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 139 0.092507950060 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 140 0.093025244491 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 141 0.093193834240 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 142 0.093367084115 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 143 0.093547288272 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 144 0.093674956853 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 145 0.093867205293 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 146 0.094062256445 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 147 0.094277966689 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 148 0.094571371697 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 149 0.094740615043 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 150 0.096193603075 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 151 0.096698833981 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 152 0.097435930170 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 153 0.099719234877 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 154 0.100548706284 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 155 0.100944452121 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 156 0.101437847245 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 157 0.104336026009 Azmi C. Özgen, 2026.
32 158 0.104749783861 Azmi C. Özgen, 2026.
32 159 0.105409319778 Azmi C. Özgen, 2026.
32 160 0.105948165378 Azmi C. Özgen, 2026.
32 161 0.106890106511 Azmi C. Özgen, 2026.
32 162 0.108159644595 Azmi C. Özgen, 2026.
32 163 0.108862854668 Robert Dallara, 2026.
32 164 0.109435808707 Azmi C. Özgen, 2026.
32 165 0.110037702297 Azmi C. Özgen, 2026.
32 166 0.110611258042 Azmi C. Özgen, 2026.
32 167 0.111402250537 Azmi C. Özgen, 2026.
32 168 0.112036118048 Azmi C. Özgen, 2026.
32 169 0.112674561694 Azmi C. Özgen, 2026.
32 170 0.113492063732 Azmi C. Özgen, 2026.
32 171 0.114496038416 Azmi C. Özgen, 2026.
32 172 0.115391760955 Azmi C. Özgen, 2026.
32 173 0.116291148810 Azmi C. Özgen, 2026.
32 174 0.117020215317 Azmi C. Özgen, 2026.
32 175 0.118169617192 Azmi C. Özgen, 2026.
32 176 0.118961914709 Azmi C. Özgen, 2026.
32 177 0.119530190299 Azmi C. Özgen, 2026.
32 178 0.120374691336 Azmi C. Özgen, 2026.
32 179 0.121260594413 Azmi C. Özgen, 2026.
32 180 0.121942566864 Azmi C. Özgen, 2026.
32 181 0.122662870538 Azmi C. Özgen, 2026.
32 182 0.123457701734 Azmi C. Özgen, 2026.
32 183 0.124129796942 Pavlos Moros, 2026.
32 184 0.125007062850 Azmi C. Özgen, 2026.
32 185 0.125742662661 Azmi C. Özgen, 2026.
32 186 0.126189689189 Azmi C. Özgen, 2026.
32 187 0.126877218810 Azmi C. Özgen, 2026.
32 188 0.127557457743 Azmi C. Özgen, 2026.
32 189 0.128128600595 Azmi C. Özgen, 2026.
32 190 0.128143824558 Azmi C. Özgen, 2026.
32 191 0.128153061498 Henry Cohn, 2026, needs more optimization.
32 192 0.128160132379 Henry Cohn, 2026, needs more optimization.
32 193 0.128167864723 Henry Cohn, 2026, needs more optimization.
32 194 0.128171189584 Pavlos Moros, 2026.
32 195 0.128182717055 Pavlos Moros, 2026.
32 196 0.128190975337 Pavlos Moros, 2026.
32 197 0.128193889851 Pavlos Moros, 2026.
32 198 0.128203861553 Pavlos Moros, 2026.
32 199 0.128204234692 Pavlos Moros, 2026.
32 200 0.128208077143 Pavlos Moros, 2026.
32 201 0.128215859125 Pavlos Moros, 2026.
32 202 0.128223643321 Pavlos Moros, 2026.
32 203 0.128231193414 Azmi C. Özgen, 2026.
32 204 0.128232451024 Pavlos Moros, 2026.
32 205 0.128233799232 Azmi C. Özgen, 2026.
32 206 0.128234940256 Azmi C. Özgen, 2026.
32 207 0.128235864160 Pavlos Moros, 2026.
32 208 0.128236117867 Pavlos Moros, 2026.
32 209 0.128238180065 Azmi C. Özgen, 2026.
32 210 0.128238848317 Azmi C. Özgen, 2026.
32 211 0.128688582437 Azmi C. Özgen, 2026.
32 213 0.128765404947 Azmi C. Özgen, 2026.
32 214 0.130238667613 Azmi C. Özgen, 2026.
32 215 0.131461422072 Azmi C. Özgen, 2026.
32 216 0.132047003450 Azmi C. Özgen, 2026.
32 217 0.132693459260 Azmi C. Özgen, 2026.
32 218 0.134215458744 Azmi C. Özgen, 2026.
32 219 0.134473554949 Azmi C. Özgen, 2026.
32 220 0.136972954542 Azmi C. Özgen, 2026.
32 221 0.138030141069 Azmi C. Özgen, 2026.
32 222 0.140413854669 Azmi C. Özgen, 2026.
32 224 0.140443412478 Robert Dallara, 2026.
32 225 0.140517353070 Azmi C. Özgen, 2026.
32 226 0.140640293525 Azmi C. Özgen, 2026.
32 227 0.141022399606 Azmi C. Özgen, 2026.
32 228 0.141202313576 Azmi C. Özgen, 2026.
32 229 0.141394548382 Azmi C. Özgen, 2026.
32 230 0.141480362930 Azmi C. Özgen, 2026.
32 231 0.141581766269 Henry Cohn, 2026, needs more optimization.
32 232 0.141615251628 Henry Cohn, 2026, needs more optimization.
32 233 0.141625222985 Azmi C. Özgen, 2026.
32 234 0.141758022433 Azmi C. Özgen, 2026.
32 235 0.142050239011 Azmi C. Özgen, 2026.
32 236 0.142665357295 Azmi C. Özgen, 2026.
32 237 0.142733726808 Azmi C. Özgen, 2026.
32 238 0.142847562768 Azmi C. Özgen, 2026.
32 239 0.143027296759 Azmi C. Özgen, 2026.
32 240 0.143532244778 Pavlos Moros, 2026.
32 241 0.143616542858 Azmi C. Özgen, 2026.
32 242 0.143625565835 Azmi C. Özgen, 2026.
32 243 0.143994481220 Pavlos Moros, 2026.
32 244 0.144154674836 Azmi C. Özgen, 2026.
32 245 0.144807586923 Azmi C. Özgen, 2026.
32 246 0.144942916435 Azmi C. Özgen, 2026.
32 247 0.144997225518 Azmi C. Özgen, 2026.
32 248 0.145285017999 Pavlos Moros, 2026.
32 249 0.145434463070 Azmi C. Özgen, 2026.
32 250 0.145774529037 Azmi C. Özgen, 2026.
32 251 0.145952367358 Azmi C. Özgen, 2026.
32 252 0.146013800287 Azmi C. Özgen, 2026.
32 253 0.146229328831 Azmi C. Özgen, 2026.
32 254 0.146349181514 Azmi C. Özgen, 2026.
32 255 0.146468006018 Azmi C. Özgen, 2026.
32 256 0.146561868702 Azmi C. Özgen, 2026.
32 257 0.146567851335 Azmi C. Özgen, 2026.
32 258 0.146613424973 Azmi C. Özgen, 2026.
32 259 0.146835473416 Azmi C. Özgen, 2026.
32 260 0.147129302243 Azmi C. Özgen, 2026.
32 261 0.147283924248 Azmi C. Özgen, 2026.
32 262 0.147385705636 Azmi C. Özgen, 2026.
32 263 0.147934868120 Azmi C. Özgen, 2026.
32 264 0.147991978608 Azmi C. Özgen, 2026.
32 265 0.148143999721 Azmi C. Özgen, 2026.
32 266 0.148308089330 Azmi C. Özgen, 2026.
32 267 0.148346485982 Azmi C. Özgen, 2026.
32 268 0.148579725634 Azmi C. Özgen, 2026.
32 269 0.148900518776 Azmi C. Özgen, 2026.
32 270 0.149026726352 Azmi C. Özgen, 2026.
32 271 0.149328172489 Azmi C. Özgen, 2026.
32 272 0.149679406829 Azmi C. Özgen, 2026.
32 273 0.150403785588 Azmi C. Özgen, 2026.
32 274 0.150532394414 Azmi C. Özgen, 2026.
32 275 0.151356976559 Azmi C. Özgen, 2026.
32 276 0.151849577111 Azmi C. Özgen, 2026.
32 277 0.152250267069 Azmi C. Özgen, 2026.
32 278 0.152735548331 Azmi C. Özgen, 2026.
32 279 0.152809398142 Azmi C. Özgen, 2026.
32 280 0.153064616310 Azmi C. Özgen, 2026.
32 281 0.153515306006 Azmi C. Özgen, 2026.
32 282 0.153740762730 Azmi C. Özgen, 2026.
32 283 0.154300905231 Azmi C. Özgen, 2026.
32 284 0.154542263264 Azmi C. Özgen, 2026.
32 285 0.155086333142 Azmi C. Özgen, 2026.
32 286 0.155718736173 Azmi C. Özgen, 2026.
32 287 0.156073707672 Azmi C. Özgen, 2026.
32 288 0.156321673409 Azmi C. Özgen, 2026.
32 289 0.156781247486 Azmi C. Özgen, 2026.
32 290 0.157145112209 Azmi C. Özgen, 2026.
32 291 0.157454877612 Azmi C. Özgen, 2026.
32 292 0.158167994438 Azmi C. Özgen, 2026.
32 293 0.158357521157 Azmi C. Özgen, 2026.
32 294 0.158858874266 Azmi C. Özgen, 2026.
32 295 0.159322591029 Azmi C. Özgen, 2026.
32 296 0.159646010235 Azmi C. Özgen, 2026.
32 297 0.159858922469 Azmi C. Özgen, 2026.
32 298 0.160449115601 Azmi C. Özgen, 2026.
32 299 0.160870823795 Azmi C. Özgen, 2026.
32 300 0.160912293993 Azmi C. Özgen, 2026.
32 301 0.160955785716 Azmi C. Özgen, 2026.
32 302 0.161055388916 Azmi C. Özgen, 2026.
32 303 0.161203291115 Azmi C. Özgen, 2026.
32 304 0.161323817462 Azmi C. Özgen, 2026.
32 305 0.161428287708 Azmi C. Özgen, 2026.
32 306 0.161435124828 Azmi C. Özgen, 2026.
32 307 0.161557679821 Azmi C. Özgen, 2026.
32 308 0.161617283887 Azmi C. Özgen, 2026.
32 309 0.161679536687 Azmi C. Özgen, 2026.
32 310 0.161747790078 Azmi C. Özgen, 2026.
32 311 0.161788133926 Azmi C. Özgen, 2026.
32 312 0.161844663176 Azmi C. Özgen, 2026.
32 313 0.161860171768 Pavlos Moros, 2026.
32 314 0.161924167481 Azmi C. Özgen, 2026.
32 315 0.161946966499 Azmi C. Özgen, 2026.
32 316 0.162015156945 Azmi C. Özgen, 2026.
32 317 0.162040435209 Azmi C. Özgen, 2026.
32 318 0.162172151845 Azmi C. Özgen, 2026.
32 319 0.162226041850 Azmi C. Özgen, 2026.
32 320 0.162266774957 Azmi C. Özgen, 2026.
32 321 0.162392848959 Azmi C. Özgen, 2026.
32 322 0.162484708616 Azmi C. Özgen, 2026.
32 323 0.162531750163 Azmi C. Özgen, 2026.
32 324 0.162638729164 Azmi C. Özgen, 2026.
32 325 0.162718712212 Azmi C. Özgen, 2026.
32 326 0.162853466617 Azmi C. Özgen, 2026.
32 327 0.162968442325 Azmi C. Özgen, 2026.
32 328 0.163040153009 Azmi C. Özgen, 2026.
32 329 0.163146477633 Azmi C. Özgen, 2026.
32 330 0.163263202905 Azmi C. Özgen, 2026.
32 331 0.163336262683 Azmi C. Özgen, 2026.
32 332 0.163453641018 Azmi C. Özgen, 2026.
32 333 0.163545384245 Azmi C. Özgen, 2026.
32 334 0.163648439110 Azmi C. Özgen, 2026.
32 335 0.163746283125 Azmi C. Özgen, 2026.
32 336 0.163800068757 Azmi C. Özgen, 2026.
32 337 0.163973674203 Azmi C. Özgen, 2026.
32 338 0.164028053432 Azmi C. Özgen, 2026.
32 339 0.164292969071 Azmi C. Özgen, 2026.
32 340 0.164323420164 Azmi C. Özgen, 2026.
32 341 0.164407757839 Azmi C. Özgen, 2026.
32 342 0.164508032967 Azmi C. Özgen, 2026.
32 343 0.164587956670 Azmi C. Özgen, 2026.
32 344 0.164660266940 Azmi C. Özgen, 2026.
32 345 0.164739178461 Azmi C. Özgen, 2026.
32 346 0.164788312160 Azmi C. Özgen, 2026.
32 347 0.164993995229 Azmi C. Özgen, 2026.
32 348 0.165109143219 Azmi C. Özgen, 2026.
32 349 0.165195803717 Azmi C. Özgen, 2026.
32 350 0.165322855797 Azmi C. Özgen, 2026.
32 351 0.165542843666 Azmi C. Özgen, 2026.
32 352 0.165660498759 Azmi C. Özgen, 2026.
32 353 0.165727059723 Azmi C. Özgen, 2026.
32 354 0.165994045727 Azmi C. Özgen, 2026.
32 355 0.166131251108 Azmi C. Özgen, 2026.
32 356 0.166602636996 Pavlos Moros, 2026.
32 357 0.166605829617 Pavlos Moros, 2026.
32 358 0.166607809990 Azmi C. Özgen, 2026.
32 377 0.166666666667 Henry Cohn, 2026.
6⁢x−1
32 378 0.166767669510 Azmi C. Özgen, 2026.
32 379 0.166869591700 Azmi C. Özgen, 2026.
32 380 0.167035022861 Azmi C. Özgen, 2026.
32 381 0.167482822392 Azmi C. Özgen, 2026.
32 382 0.167673795546 Azmi C. Özgen, 2026.
32 383 0.168016354776 Azmi C. Özgen, 2026.
32 384 0.168668308774 Azmi C. Özgen, 2026.
32 385 0.169010123685 Azmi C. Özgen, 2026.
32 386 0.169367701428 Azmi C. Özgen, 2026.
32 387 0.169529185818 Azmi C. Özgen, 2026.
32 388 0.170064776802 Azmi C. Özgen, 2026.
32 389 0.170846757705 Azmi C. Özgen, 2026.
32 390 0.170965384490 Azmi C. Özgen, 2026.
32 391 0.171961389861 Azmi C. Özgen, 2026.
32 392 0.172232158740 Azmi C. Özgen, 2026.
32 393 0.172814389432 Azmi C. Özgen, 2026.
32 394 0.172869626589 Azmi C. Özgen, 2026.
32 395 0.173437764903 Azmi C. Özgen, 2026.
32 396 0.174550520859 Azmi C. Özgen, 2026.
32 397 0.176070406571 Azmi C. Özgen, 2026.
32 398 0.176634772973 Azmi C. Özgen, 2026.
32 399 0.177179797302 Azmi C. Özgen, 2026.
32 400 0.177806621806 Azmi C. Özgen, 2026.
32 401 0.178571548894 Azmi C. Özgen, 2026.
32 402 0.179489006176 Pavlos Moros, 2026.
32 403 0.180681110828 Azmi C. Özgen, 2026.
32 404 0.180746713241 Azmi C. Özgen, 2026.
32 405 0.180871543959 Azmi C. Özgen, 2026.
32 406 0.181153064236 Azmi C. Özgen, 2026.
32 407 0.181462437923 Azmi C. Özgen, 2026.
32 408 0.181654028330 Azmi C. Özgen, 2026.
32 409 0.182062553317 Azmi C. Özgen, 2026.
32 410 0.182389385963 Azmi C. Özgen, 2026.
32 411 0.182672410647 Azmi C. Özgen, 2026.
32 412 0.182775899089 Azmi C. Özgen, 2026.
32 413 0.183044712044 Azmi C. Özgen, 2026.
32 414 0.183249650704 Azmi C. Özgen, 2026.
32 415 0.183427429258 Azmi C. Özgen, 2026.
32 416 0.183699776427 Azmi C. Özgen, 2026.
32 417 0.184016803085 Azmi C. Özgen, 2026.
32 418 0.184419521730 Azmi C. Özgen, 2026.
32 419 0.184805579532 Azmi C. Özgen, 2026.
32 420 0.184942350151 Azmi C. Özgen, 2026.
32 421 0.185410705553 Azmi C. Özgen, 2026.
32 422 0.185668763860 Azmi C. Özgen, 2026.
32 423 0.185781469340 Azmi C. Özgen, 2026.
32 424 0.185786924517 Azmi C. Özgen, 2026.
32 425 0.185974878496 Azmi C. Özgen, 2026.
32 426 0.186214010204 Azmi C. Özgen, 2026.
32 427 0.186318870744 Azmi C. Özgen, 2026.
32 428 0.186887705604 Azmi C. Özgen, 2026.
32 429 0.187101097571 Azmi C. Özgen, 2026.
32 430 0.187353048616 Azmi C. Özgen, 2026.
32 431 0.187472951840 Azmi C. Özgen, 2026.
32 432 0.187780701938 Azmi C. Özgen, 2026.
32 433 0.188036778494 Azmi C. Özgen, 2026.
32 434 0.188170610442 Azmi C. Özgen, 2026.
32 435 0.188309347342 Azmi C. Özgen, 2026.
32 436 0.188503958803 Azmi C. Özgen, 2026.
32 437 0.188682397497 Azmi C. Özgen, 2026.
32 438 0.188790727324 Azmi C. Özgen, 2026.
32 439 0.188901195836 Azmi C. Özgen, 2026.
32 440 0.189155056841 Azmi C. Özgen, 2026.
32 441 0.189280611327 Azmi C. Özgen, 2026.
32 442 0.189604621744 Azmi C. Özgen, 2026.
32 443 0.189618583268 Azmi C. Özgen, 2026.
32 444 0.189737359900 Azmi C. Özgen, 2026.
32 445 0.189853645962 Azmi C. Özgen, 2026.
32 446 0.189930030714 Azmi C. Özgen, 2026.
32 447 0.190218127280 Azmi C. Özgen, 2026.
32 448 0.190472738784 Azmi C. Özgen, 2026.
32 449 0.190861290827 Azmi C. Özgen, 2026.
32 450 0.190942479019 Azmi C. Özgen, 2026.
32 451 0.191217940577 Azmi C. Özgen, 2026.
32 452 0.191321983590 Azmi C. Özgen, 2026.
32 453 0.191485766115 Azmi C. Özgen, 2026.
32 454 0.191533168491 Azmi C. Özgen, 2026.
32 455 0.191665548042 Azmi C. Özgen, 2026.
32 456 0.191888447503 Azmi C. Özgen, 2026.
32 457 0.191955560744 Azmi C. Özgen, 2026.
32 458 0.192068799193 Azmi C. Özgen, 2026.
32 459 0.192235340451 Azmi C. Özgen, 2026.
32 460 0.192415204967 Azmi C. Özgen, 2026.
32 461 0.192537025179 Azmi C. Özgen, 2026.
32 462 0.192754576089 Azmi C. Özgen, 2026.
32 463 0.192855514965 Azmi C. Özgen, 2026.
32 464 0.192975384403 Azmi C. Özgen, 2026.
32 465 0.193130907984 Azmi C. Özgen, 2026.
32 466 0.193293338227 Azmi C. Özgen, 2026.
32 467 0.193386527826 Azmi C. Özgen, 2026.
32 468 0.193501491245 Azmi C. Özgen, 2026.
32 469 0.193721422917 Azmi C. Özgen, 2026.
32 470 0.193814528265 Azmi C. Özgen, 2026.
32 471 0.193877612659 Azmi C. Özgen, 2026.
32 472 0.193902734850 Azmi C. Özgen, 2026.
32 473 0.194099092681 Azmi C. Özgen, 2026.
32 474 0.194120485526 Azmi C. Özgen, 2026.
32 475 0.194268027596 Azmi C. Özgen, 2026.
32 476 0.194344222314 Azmi C. Özgen, 2026.
32 477 0.194496137494 Azmi C. Özgen, 2026.
32 478 0.194597733799 Azmi C. Özgen, 2026.
32 479 0.194648129297 Azmi C. Özgen, 2026.
32 528 0.195121951220 Henry Cohn, 2026.
41⁢x−8
32 529 0.199069402854 Azmi C. Özgen, 2026.
32 530 0.199071064081 Azmi C. Özgen, 2026.
32 531 0.199081654694 Azmi C. Özgen, 2026.
32 532 0.199098363532 Azmi C. Özgen, 2026.
32 533 0.199098730922 Azmi C. Özgen, 2026.
32 534 0.199131373659 Azmi C. Özgen, 2026.
32 535 0.199141489194 Azmi C. Özgen, 2026.
32 536 0.199142250217 Azmi C. Özgen, 2026.
32 537 0.199146870981 Azmi C. Özgen, 2026.
32 538 0.199148678512 Azmi C. Özgen, 2026.
32 539 0.199149020181 Azmi C. Özgen, 2026.
32 540 0.199168601201 Azmi C. Özgen, 2026.
32 541 0.199194546250 Azmi C. Özgen, 2026.
32 542 0.199261568655 Azmi C. Özgen, 2026.
32 543 0.199267173554 Azmi C. Özgen, 2026.
32 544 0.199267516346 Azmi C. Özgen, 2026.
32 545 0.199273547494 Azmi C. Özgen, 2026.
32 546 0.199308177228 Azmi C. Özgen, 2026.
32 547 0.199308564123 Azmi C. Özgen, 2026.
32 548 0.199323522623 Azmi C. Özgen, 2026.
32 549 0.199352637613 Azmi C. Özgen, 2026.
32 569 0.199356008039 Robert Dallara, 2026.
32 570 0.199471988266 Azmi C. Özgen, 2026.
32 571 0.199486386291 Azmi C. Özgen, 2026.
32 572 0.199486517991 Azmi C. Özgen, 2026.
32 573 0.199487769569 Azmi C. Özgen, 2026.
32 574 0.199487769573 Azmi C. Özgen, 2026.
32 575 0.199487781503 Azmi C. Özgen, 2026.
32 576 0.199524270724 Azmi C. Özgen, 2026.
32 577 0.199532068834 Azmi C. Özgen, 2026.
32 578 0.199539731222 Azmi C. Özgen, 2026.
32 579 0.199539741152 Azmi C. Özgen, 2026.
32 580 0.199544382421 Azmi C. Özgen, 2026.
32 581 0.199544392474 Azmi C. Özgen, 2026.
32 582 0.199558513951 Azmi C. Özgen, 2026.
32 583 0.199576855152 Azmi C. Özgen, 2026.
32 584 0.199576864640 Azmi C. Özgen, 2026.
32 585 0.199590767723 Azmi C. Özgen, 2026.
32 586 0.199622182006 Azmi C. Özgen, 2026.
32 587 0.199622193552 Azmi C. Özgen, 2026.
32 588 0.199628432489 Azmi C. Özgen, 2026.
32 589 0.199633175285 Azmi C. Özgen, 2026.
32 590 0.199650230437 Azmi C. Özgen, 2026.
32 591 0.199662731578 Azmi C. Özgen, 2026.
32 592 0.199671977668 Azmi C. Özgen, 2026.
32 593 0.199698323810 Azmi C. Özgen, 2026.
32 594 0.199704225706 Azmi C. Özgen, 2026.
32 595 0.199704239375 Azmi C. Özgen, 2026.
32 596 0.199716257734 Azmi C. Özgen, 2026.
32 597 0.199779980437 Azmi C. Özgen, 2026.
32 598 0.199836495575 Azmi C. Özgen, 2026.
32 599 0.199879813434 Azmi C. Özgen, 2026.
32 600 0.199882052176 Azmi C. Özgen, 2026.
32 601 0.199882063694 Azmi C. Özgen, 2026.
32 602 0.199882073899 Azmi C. Özgen, 2026.
32 603 0.199893534645 Azmi C. Özgen, 2026.
32 604 0.199893540230 Azmi C. Özgen, 2026.
32 605 0.199902655790 Azmi C. Özgen, 2026.
32 606 0.199906117093 Azmi C. Özgen, 2026.
32 607 0.199906117173 Azmi C. Özgen, 2026.
32 608 0.199906128626 Azmi C. Özgen, 2026.
32 609 0.199906140753 Azmi C. Özgen, 2026.
32 610 0.199912611467 Azmi C. Özgen, 2026.
32 611 0.199915472819 Azmi C. Özgen, 2026.
32 612 0.199921743620 Azmi C. Özgen, 2026.
32 613 0.199921754414 Azmi C. Özgen, 2026.
32 614 0.199923073564 Azmi C. Özgen, 2026.
32 615 0.199923073582 Azmi C. Özgen, 2026.
32 616 0.199923074024 Azmi C. Özgen, 2026.
32 617 0.199923086328 Azmi C. Özgen, 2026.
32 618 0.199930010535 Azmi C. Özgen, 2026.
32 619 0.199930021444 Azmi C. Özgen, 2026.
32 620 0.199940590781 Azmi C. Özgen, 2026.
32 704 0.2 Henry Cohn, 2026.
5⁢x−1
32 705 0.209382766930 Azmi C. Özgen, 2026.
32 706 0.212484283127 Azmi C. Özgen, 2026.
32 707 0.212613239777 Azmi C. Özgen, 2026.
32 708 0.212863925499 Azmi C. Özgen, 2026.
32 709 0.213058167585 Azmi C. Özgen, 2026.
32 710 0.213849140778 Azmi C. Özgen, 2026.
32 711 0.214070172892 Azmi C. Özgen, 2026.
32 712 0.214227016438 Azmi C. Özgen, 2026.
32 713 0.214425781695 Azmi C. Özgen, 2026.
32 714 0.214598852302 Azmi C. Özgen, 2026.
32 715 0.214739983045 Azmi C. Özgen, 2026.
32 716 0.214964722019 Azmi C. Özgen, 2026.
32 717 0.215179239818 Azmi C. Özgen, 2026.
32 718 0.216011073845 Azmi C. Özgen, 2026.
32 719 0.216262336228 Azmi C. Özgen, 2026.
32 720 0.216359128257 Azmi C. Özgen, 2026.
32 721 0.216536536179 Azmi C. Özgen, 2026.
32 722 0.216811961863 Azmi C. Özgen, 2026.
32 723 0.216998761009 Azmi C. Özgen, 2026.
32 724 0.217290726104 Azmi C. Özgen, 2026.
32 725 0.217441692943 Azmi C. Özgen, 2026.
32 726 0.217638217683 Azmi C. Özgen, 2026.
32 727 0.217852254189 Azmi C. Özgen, 2026.
32 728 0.217902634719 Azmi C. Özgen, 2026.
32 729 0.218060846456 Azmi C. Özgen, 2026.
32 730 0.218235436663 Azmi C. Özgen, 2026.
32 731 0.218969799843 Azmi C. Özgen, 2026.
32 732 0.219155197043 Azmi C. Özgen, 2026.
32 733 0.219349652522 Azmi C. Özgen, 2026.
32 734 0.219557579390 Azmi C. Özgen, 2026.
32 735 0.219663666720 Azmi C. Özgen, 2026.
32 736 0.219859951485 Azmi C. Özgen, 2026.
32 737 0.220011316747 Azmi C. Özgen, 2026.
32 738 0.220188537476 Azmi C. Özgen, 2026.
32 739 0.220352047293 Azmi C. Özgen, 2026.
32 740 0.220484708055 Azmi C. Özgen, 2026.
32 741 0.221256687415 Azmi C. Özgen, 2026.
32 742 0.221373595299 Azmi C. Özgen, 2026.
32 743 0.221482737021 Azmi C. Özgen, 2026.
32 744 0.221627601188 Azmi C. Özgen, 2026.
32 745 0.221761548486 Azmi C. Özgen, 2026.
32 746 0.221908203644 Azmi C. Özgen, 2026.
32 747 0.221990210662 Azmi C. Özgen, 2026.
32 748 0.222090017122 Azmi C. Özgen, 2026.
32 749 0.222165913421 Azmi C. Özgen, 2026.
32 750 0.223165743802 Azmi C. Özgen, 2026.
32 751 0.223229279592 Azmi C. Özgen, 2026.
32 752 0.223358778735 Azmi C. Özgen, 2026.
32 753 0.223482431728 Azmi C. Özgen, 2026.
32 754 0.223624767260 Azmi C. Özgen, 2026.
32 755 0.223757439649 Azmi C. Özgen, 2026.
32 756 0.223879320461 Azmi C. Özgen, 2026.
32 757 0.224032953107 Azmi C. Özgen, 2026.
32 758 0.224173022045 Azmi C. Özgen, 2026.
32 759 0.224998895059 Azmi C. Özgen, 2026.
32 760 0.225114571191 Azmi C. Özgen, 2026.
32 761 0.225224652051 Azmi C. Özgen, 2026.
32 762 0.225255307658 Azmi C. Özgen, 2026.
32 763 0.225432312917 Azmi C. Özgen, 2026.
32 764 0.225503666676 Azmi C. Özgen, 2026.
32 765 0.225589677603 Azmi C. Özgen, 2026.
32 1024 0.225806451613 Code with 1024 points in 31 dimensions.
31⁢x−7
52 325* 0.0625 P. J. Cameron, J. M. Goethals, and J. J. Seidel, Strongly regular graphs having strongly regular subconstituents, J. Algebra 55 (1978), 257–280, doi:10.1016/0021-8693(78)90220-X; V. I. Levenshtein, Designs as maximum codes in polynomial metric spaces, Acta Appl. Math. 29 (1992), 1–82, doi:10.1007/BF00053379.
16⁢x−1
64 4224* 0.125 V. I. Levenšteĭn, Bounds for the maximal cardinality of a code with bounded modulus of the inner product (Russian), Dokl. Akad. Nauk SSSR 263 (1982), 1303–1308, English translation in Soviet Math. Dokl. 25 (1982), 526–531; H. Cohn, D. de Laat, and N. Leijenhorst, Optimality of spherical codes via exact semidefinite programming bounds, preprint, 2024, arXiv:2403.16874.
8⁢x−1