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 0.943652307933 James Buddenhagen and D. A. Kottwitz, 1997.
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 0.946396812867 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.
3 126 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 0.958127175342 Henry Cohn, 2024.
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 0.960986467408 Henry Cohn, 2025.
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 0.965468021791 Henry Cohn, 2024.
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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.
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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.
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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.
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3 300 0.977219217071 R. H. Hardin, N. J. A. Sloane, and W. D. Smith, Tables of spherical codes with icosahedral symmetry, 1994–2000.
3 301 0.977392313268 Henry Cohn, 2024.
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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.
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3 387 0.982346497568 Henry Cohn, 2024.
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3 389 0.982417056387 Henry Cohn, 2026.
3 390 0.982501966288 Henry Cohn, 2026.
3 391 0.982555955538 Henry Cohn, 2024.
3 392 0.982588475638 Henry Cohn, 2026.
3 393 0.982649357699 Henry Cohn, 2024.
3 394 0.982692375827 Henry Cohn, 2024.
3 395 0.982725448100 Henry Cohn, 2026.
3 396 0.982765223678 Henry Cohn, 2026.
3 397 0.982798694889 Henry Cohn, 2026.
3 398 0.982818578128 Henry Cohn, 2026.
3 399 0.982856003493 Henry Cohn, 2026.
3 400 0.982906066576 Henry Cohn, 2026.
3 401 0.982947111289 Henry Cohn, 2026.
3 402 0.982978704486 Henry Cohn, 2026.
3 403 0.983047320766 Henry Cohn, 2026.
3 404 0.983110209855 Henry Cohn, 2026.
3 405 0.983168565133 Henry Cohn, 2024.
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3 407 0.983245189251 Henry Cohn, 2026.
3 408 0.983288123210 Henry Cohn, 2024.
3 409 0.983324857501 Henry Cohn, 2024.
3 410 0.983353344490 Henry Cohn, 2026.
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3 412 0.983427715393 Henry Cohn, 2026.
3 413 0.983461427167 Henry Cohn, 2024.
3 414 0.983495155996 Henry Cohn, 2024.
3 415 0.983545154448 Henry Cohn, 2026.
3 416 0.983572356049 Henry Cohn, 2024.
3 417 0.983606337391 Henry Cohn, 2026.
3 418 0.983668285529 Henry Cohn, 2024.
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3 420 0.983735205342 Henry Cohn, 2026.
3 421 0.983801876824 Henry Cohn, 2024.
3 422 0.983830249283 Henry Cohn, 2026.
3 423 0.983874347227 Henry Cohn, 2026.
3 424 0.983915009758 Henry Cohn, 2024.
3 425 0.983947724258 Henry Cohn, 2024.
3 426 0.983967656850 Henry Cohn, 2024.
3 427 0.984017759902 Henry Cohn, 2024.
3 428 0.984058613099 Henry Cohn, 2026.
3 429 0.984099266745 Henry Cohn, 2026.
3 430 0.984130902921 Henry Cohn, 2026.
3 431 0.984165514392 Henry Cohn, 2024.
3 432 0.984201636678 Henry Cohn, 2024.
3 433 0.984245067693 Henry Cohn, 2026.
3 434 0.984271634261 Henry Cohn, 2026.
3 435 0.984318874079 Henry Cohn, 2026.
3 436 0.984359381087 Henry Cohn, 2024.
3 437 0.984376596212 Henry Cohn, 2024.
3 438 0.984419779873 Henry Cohn, 2024.
3 439 0.984454633436 Henry Cohn, 2026.
3 440 0.984472421765 Henry Cohn, 2024.
3 441 0.984527980944 Henry Cohn, 2024.
3 442 0.984558425549 Henry Cohn, 2026.
3 443 0.984592266668 Henry Cohn, 2024.
3 444 0.984628415926 Henry Cohn, 2024.
3 445 0.984667372266 Henry Cohn, 2024.
3 446 0.984702068844 Henry Cohn, 2024.
3 447 0.984730509217 Henry Cohn, 2024.
3 448 0.984778913431 Henry Cohn, 2024.
3 449 0.984798159856 Henry Cohn, 2026.
3 450 0.984846922701 Henry Cohn, 2024.
3 451 0.984869418985 Henry Cohn, 2026.
3 452 0.984911000119 Henry Cohn, 2024.
3 453 0.984942286924 Henry Cohn, 2024.
3 454 0.984966312680 Henry Cohn, 2026.
3 455 0.984994478749 Henry Cohn, 2024.
3 456 0.985031017295 Henry Cohn, 2024.
3 457 0.985064695326 Henry Cohn, 2024.
3 458 0.985097884587 Henry Cohn, 2024.
3 459 0.985126768610 Henry Cohn, 2024.
3 460 0.985147680862 Henry Cohn, 2026.
3 461 0.985184257886 Henry Cohn, 2026.
3 462 0.985218304940 Henry Cohn, 2026.
3 463 0.985261069628 Henry Cohn, 2026.
3 464 0.985297019485 Henry Cohn, 2024.
3 465 0.985320807767 Henry Cohn, 2026.
3 466 0.985359609349 Henry Cohn, 2026.
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 0.985523730012 Henry Cohn, 2026.
3 473 0.985558412595 Henry Cohn, 2024.
3 474 0.985602086181 Henry Cohn, 2026.
3 475 0.985602472012 Henry Cohn, 2026.
3 476 0.985629966650 Henry Cohn, 2026.
3 477 0.985650812954 Henry Cohn, 2026.
3 478 0.985679876222 Henry Cohn, 2026.
3 479 0.985700132825 Henry Cohn, 2026.
3 480 0.985721861452 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.
3 481 0.985794622844 Henry Cohn, 2026.
3 482 0.985841196829 Henry Cohn, 2026.
3 483 0.985869964684 Henry Cohn, 2026.
3 484 0.985900122939 Henry Cohn, 2024.
3 485 0.985924698901 Henry Cohn, 2024.
3 486 0.985950768752 Henry Cohn, 2024.
3 487 0.985985004243 Henry Cohn, 2024.
3 488 0.986009149228 Henry Cohn, 2024.
3 489 0.986026483781 Henry Cohn, 2024.
3 490 0.986059720852 Henry Cohn, 2026.
3 491 0.986099610800 Henry Cohn, 2024.
3 492 0.986121929372 Henry Cohn, 2024.
3 493 0.986156300460 Henry Cohn, 2026.
3 494 0.986181823581 Henry Cohn, 2026.
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3 496 0.986246272307 Henry Cohn, 2024.
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3 498 0.986298103712 Henry Cohn, 2024.
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3 500 0.986348688449 Henry Cohn, 2026.
3 501 0.986368725989 Henry Cohn, 2026.
3 502 0.986395153429 Henry Cohn, 2026.
3 503 0.986428428291 Henry Cohn, 2024.
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3 506 0.986501726579 Henry Cohn, 2026.
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3 510 0.986562950498 Henry Cohn, 2025.
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3 513 0.986700077118 Henry Cohn, 2024.
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3 516 0.986772800882 Henry Cohn, 2026.
3 517 0.986799492641 Henry Cohn, 2024.
3 518 0.986819181629 Henry Cohn, 2026.
3 519 0.986844161455 Henry Cohn, 2026.
3 520 0.986876145782 Henry Cohn, 2024.
3 521 0.986900278325 Henry Cohn, 2024.
3 522 0.986922055699 Henry Cohn, 2026.
3 523 0.986949861186 Henry Cohn, 2026.
3 524 0.986971370637 Henry Cohn, 2026.
3 525 0.986995192288 Henry Cohn, 2026.
3 526 0.987019236077 Henry Cohn, 2024.
3 527 0.987045953572 Henry Cohn, 2026.
3 528 0.987069504316 Henry Cohn, 2024.
3 529 0.987089590281 Henry Cohn, 2024.
3 530 0.987121524163 Henry Cohn, 2024.
3 531 0.987141738237 Henry Cohn, 2024.
3 532 0.987165596115 Henry Cohn, 2024.
3 533 0.987185368627 Henry Cohn, 2024.
3 534 0.987215557894 Henry Cohn, 2024.
3 535 0.987233714219 Henry Cohn, 2026.
3 536 0.987259191622 Henry Cohn, 2024.
3 537 0.987271183218 Henry Cohn, 2024.
3 538 0.987299580832 Henry Cohn, 2026.
3 539 0.987336486625 Henry Cohn, 2024.
3 540 0.987351430022 Henry Cohn, 2024.
3 541 0.987374329856 Henry Cohn, 2026.
3 542 0.987388996662 Henry Cohn, 2024.
3 543 0.987423671103 Henry Cohn, 2026.
3 544 0.987447704608 Henry Cohn, 2024.
3 545 0.987469058651 Henry Cohn, 2024.
3 546 0.987491594825 Henry Cohn, 2024.
3 547 0.987512470728 Henry Cohn, 2024.
3 548 0.987533400403 Henry Cohn, 2024.
3 549 0.987547178474 Henry Cohn, 2024.
3 550 0.987583651579 Henry Cohn, 2026.
3 551 0.987606449640 Henry Cohn, 2024.
3 552 0.987622742921 R. H. Hardin, N. J. A. Sloane, and W. D. Smith, Tables of spherical codes with icosahedral symmetry, 1994–2000.
3 553 0.987648249263 Henry Cohn, 2024.
3 554 0.987670281304 Henry Cohn, 2024.
3 555 0.987693259384 Henry Cohn, 2024.
3 556 0.987718378190 Henry Cohn, 2024.
3 557 0.987733482348 Henry Cohn, 2026.
3 558 0.987758257373 Henry Cohn, 2026.
3 559 0.987780703660 Henry Cohn, 2026.
3 560 0.987804065628 Henry Cohn, 2024.
3 561 0.987825037070 Henry Cohn, 2024.
3 562 0.987840456566 Henry Cohn, 2026.
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3 566 0.987930679295 Henry Cohn, 2024.
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3 568 0.987974408939 Henry Cohn, 2024.
3 569 0.987994333054 Henry Cohn, 2024.
3 570 0.988009696089 Henry Cohn, 2026.
3 571 0.988036994032 Henry Cohn, 2024.
3 572 0.988045143812 Henry Cohn, 2025.
3 573 0.988071110795 Henry Cohn, 2026.
3 574 0.988099427052 Henry Cohn, 2024.
3 575 0.988116092887 Henry Cohn, 2024.
3 576 0.988134624929 Henry Cohn, 2024.
3 577 0.988155543378 Henry Cohn, 2024.
3 578 0.988175563350 Henry Cohn, 2024.
3 579 0.988199193100 Henry Cohn, 2024.
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 0.988296373611 Henry Cohn, 2024.
3 585 0.988316187693 Henry Cohn, 2024.
3 586 0.988336136398 Henry Cohn, 2024.
3 587 0.988354165587 Henry Cohn, 2024.
3 588 0.988367697745 Henry Cohn, 2026.
3 589 0.988390327285 Henry Cohn, 2024.
3 590 0.988413417033 Henry Cohn, 2024.
3 591 0.988426313072 Henry Cohn, 2026.
3 592 0.988448226533 Henry Cohn, 2026.
3 593 0.988465153276 Henry Cohn, 2026.
3 594 0.988487964834 Henry Cohn, 2026.
3 595 0.988509243514 Henry Cohn, 2024.
3 596 0.988525644384 Henry Cohn, 2026.
3 597 0.988541943658 Henry Cohn, 2026.
3 598 0.988562584819 Henry Cohn, 2026.
3 599 0.988581647683 Henry Cohn, 2024.
3 600 0.988601034993 Henry Cohn, 2024.
3 601 0.988621946438 Henry Cohn, 2024.
3 602 0.988639933627 Henry Cohn, 2026.
3 603 0.988656705661 Henry Cohn, 2026.
3 604 0.988675027867 Henry Cohn, 2024.
3 605 0.988698898874 Henry Cohn, 2026.
3 606 0.988712847782 Henry Cohn, 2024.
3 607 0.988726143384 Henry Cohn, 2026.
3 608 0.988753468150 Henry Cohn, 2026.
3 609 0.988760157529 Henry Cohn, 2024.
3 610 0.988786762991 Henry Cohn, 2026.
3 611 0.988800948784 Henry Cohn, 2026.
3 612 0.988821722164 Henry Cohn, 2026.
3 613 0.988842455232 Henry Cohn, 2024.
3 614 0.988857096430 Henry Cohn, 2024.
3 615 0.988873133354 Henry Cohn, 2026.
3 616 0.988892714835 Henry Cohn, 2024.
3 617 0.988912783824 Henry Cohn, 2024.
3 618 0.988927807992 Henry Cohn, 2024.
3 619 0.988948201134 Henry Cohn, 2025.
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 0.988984109802 Henry Cohn, 2024.
3 622 0.989000035626 Henry Cohn, 2026.
3 623 0.989012818314 Henry Cohn, 2024.
3 624 0.989034528790 Henry Cohn, 2024.
3 625 0.989047039560 Henry Cohn, 2026.
3 626 0.989070144515 Henry Cohn, 2026.
3 627 0.989088135354 Henry Cohn, 2024.
3 628 0.989103339267 Henry Cohn, 2026.
3 629 0.989121123248 Henry Cohn, 2024.
3 630 0.989134691942 Henry Cohn, 2024.
3 631 0.989155822068 Henry Cohn, 2024.
3 632 0.989172993109 Henry Cohn, 2024.
3 633 0.989188471837 Henry Cohn, 2024.
3 634 0.989201780435 Henry Cohn, 2026.
3 635 0.989217714867 Henry Cohn, 2026.
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3 637 0.989258689382 Henry Cohn, 2026.
3 638 0.989267204518 Henry Cohn, 2024.
3 639 0.989289999844 Henry Cohn, 2026.
3 640 0.989301986015 Henry Cohn, 2024.
3 641 0.989321411266 Henry Cohn, 2024.
3 642 0.989332573182 Henry Cohn, 2024.
3 643 0.989348424953 Henry Cohn, 2026.
3 644 0.989370351197 Henry Cohn, 2026.
3 645 0.989382211188 Henry Cohn, 2026.
3 646 0.989398690989 Henry Cohn, 2024.
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3 648 0.989433166426 Henry Cohn, 2026.
3 649 0.989451406051 Henry Cohn, 2026.
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3 651 0.989485039605 Henry Cohn, 2024.
3 652 0.989499999831 Henry Cohn, 2026.
3 653 0.989517659733 Henry Cohn, 2024.
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3 655 0.989544914882 Henry Cohn, 2026.
3 656 0.989563787961 Henry Cohn, 2024.
3 657 0.989576352164 Henry Cohn, 2024.
3 658 0.989590441670 Henry Cohn, 2024.
3 659 0.989608602208 Henry Cohn, 2024.
3 660 0.989624035358 Henry Cohn, 2026.
3 661 0.989637857065 Henry Cohn, 2026.
3 662 0.989658469367 Henry Cohn, 2024.
3 663 0.989668542979 Henry Cohn, 2024.
3 664 0.989679966128 Henry Cohn, 2026.
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3 666 0.989717351362 Henry Cohn, 2026.
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3 669 0.989759664703 Henry Cohn, 2026.
3 670 0.989765777159 Henry Cohn, 2024.
3 671 0.989789044135 Henry Cohn, 2026.
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3 673 0.989818330488 Henry Cohn, 2024.
3 674 0.989830195888 Henry Cohn, 2026.
3 675 0.989846944839 Henry Cohn, 2026.
3 676 0.989861529212 Henry Cohn, 2024.
3 677 0.989873040790 Henry Cohn, 2026.
3 678 0.989879779829 Henry Cohn, 2024.
3 679 0.989905658947 Henry Cohn, 2026.
3 680 0.989918672052 Henry Cohn, 2026.
3 681 0.989936920244 Henry Cohn, 2024.
3 682 0.989953273780 Henry Cohn, 2026.
3 683 0.989968141405 Henry Cohn, 2026.
3 684 0.989976775637 Henry Cohn, 2026.
3 685 0.990001215850 Henry Cohn, 2026.
3 686 0.990006418271 Henry Cohn, 2024.
3 687 0.990023928916 Henry Cohn, 2026.
3 688 0.990037853003 Henry Cohn, 2024.
3 689 0.990050271005 Henry Cohn, 2026.
3 692 0.990060116362 R. H. Hardin, N. J. A. Sloane, and W. D. Smith, Tables of spherical codes with icosahedral symmetry, 1994–2000.
3 693 0.990079139245 Henry Cohn, 2026.
3 694 0.990103791008 Henry Cohn, 2026.
3 695 0.990114990349 Henry Cohn, 2026.
3 696 0.990138293016 Henry Cohn, 2026.
3 697 0.990163002376 Henry Cohn, 2026.
3 698 0.990178131415 Henry Cohn, 2024.
3 700 0.990192255279 Henry Cohn, 2026.
3 701 0.990203816324 Henry Cohn, 2026.
3 702 0.990207507930 Henry Cohn, 2025.
3 703 0.990226501904 Henry Cohn, 2026.
3 704 0.990247541644 Henry Cohn, 2026.
3 705 0.990264016667 Henry Cohn, 2026.
3 706 0.990280269273 Henry Cohn, 2026.
3 707 0.990307749113 Henry Cohn, 2024.
3 708 0.990311712875 Henry Cohn, 2026.
3 709 0.990323405625 Henry Cohn, 2026.
3 710 0.990330662190 Henry Cohn, 2026.
3 711 0.990344030294 Henry Cohn, 2026.
3 712 0.990367295710 Henry Cohn, 2026.
3 713 0.990383343645 Henry Cohn, 2026.
3 714 0.990387058363 Henry Cohn, 2026.
3 715 0.990399645348 Henry Cohn, 2026.
3 716 0.990424201178 Henry Cohn, 2024.
3 717 0.990437124471 Henry Cohn, 2024.
3 718 0.990448237688 Henry Cohn, 2024.
3 719 0.990461529899 Henry Cohn, 2024.
3 720 0.990474919274 Henry Cohn, 2024.
3 721 0.990485931286 Henry Cohn, 2026.
3 722 0.990499809958 Henry Cohn, 2024.
3 723 0.990511221906 Henry Cohn, 2026.
3 724 0.990532198847 Henry Cohn, 2024.
3 725 0.990534529638 Henry Cohn, 2024.
3 726 0.990551452964 Henry Cohn, 2026.
3 727 0.990566965324 Henry Cohn, 2024.
3 728 0.990571208980 Henry Cohn, 2026.
3 729 0.990582447408 Henry Cohn, 2026.
3 730 0.990603287439 Henry Cohn, 2024.
3 731 0.990612626443 Henry Cohn, 2024.
3 732 0.990621413211 Henry Cohn, 2025.
3 733 0.990638379834 Henry Cohn, 2026.
3 734 0.990653485474 Henry Cohn, 2026.
3 735 0.990665859911 Henry Cohn, 2026.
3 736 0.990680033945 Henry Cohn, 2026.
3 737 0.990695306177 Henry Cohn, 2024.
3 738 0.990704677084 Henry Cohn, 2024.
3 739 0.990712824024 Henry Cohn, 2026.
3 740 0.990728865941 Henry Cohn, 2024.
3 741 0.990738820243 Henry Cohn, 2026.
3 742 0.990755361153 Henry Cohn, 2024.
3 743 0.990760199706 Henry Cohn, 2026.
3 744 0.990775592736 Henry Cohn, 2026.
3 745 0.990786273995 Henry Cohn, 2026.
3 746 0.990800996596 Henry Cohn, 2026.
3 747 0.990816878553 Henry Cohn, 2024.
3 748 0.990825669599 Henry Cohn, 2026.
3 749 0.990837968961 Henry Cohn, 2026.
3 750 0.990847475915 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.
3 751 0.990857663690 Henry Cohn, 2024.
3 752 0.990870655767 Henry Cohn, 2026.
3 753 0.990883514545 Henry Cohn, 2024.
3 754 0.990896951925 Henry Cohn, 2026.
3 755 0.990899154483 Henry Cohn, 2026.
3 756 0.990921603853 Henry Cohn, 2026.
3 757 0.990937812953 Henry Cohn, 2024.
3 758 0.990946005792 Henry Cohn, 2024.
3 759 0.990954743746 Henry Cohn, 2024.
3 760 0.990970877087 Henry Cohn, 2024.
3 761 0.990975674946 Henry Cohn, 2026.
3 762 0.990993252010 Henry Cohn, 2024.
3 763 0.991002546962 Henry Cohn, 2024.
3 764 0.991020066956 Henry Cohn, 2026.
3 765 0.991024981938 Henry Cohn, 2026.
3 766 0.991034227519 Henry Cohn, 2026.
3 767 0.991054850991 Henry Cohn, 2024.
3 768 0.991061684071 Henry Cohn, 2026.
3 769 0.991073054499 Henry Cohn, 2024.
3 770 0.991085755280 Henry Cohn, 2024.
3 771 0.991092727219 Henry Cohn, 2026.
3 772 0.991107834438 Henry Cohn, 2024.
3 773 0.991119133246 Henry Cohn, 2026.
3 774 0.991132071939 Henry Cohn, 2024.
3 775 0.991142924337 Henry Cohn, 2026.
3 776 0.991154427285 Henry Cohn, 2026.
3 777 0.991161697853 Henry Cohn, 2024.
3 778 0.991176146280 Henry Cohn, 2026.
3 779 0.991186101617 Henry Cohn, 2026.
3 780 0.991195467101 Henry Cohn, 2024.
3 781 0.991212495316 Henry Cohn, 2024.
3 782 0.991215259186 Henry Cohn, 2026.
3 783 0.991225228486 Henry Cohn, 2026.
3 784 0.991237581418 Henry Cohn, 2024.
3 785 0.991246059536 Henry Cohn, 2026.
3 786 0.991261576836 Henry Cohn, 2026.
3 787 0.991276435778 Henry Cohn, 2026.
3 788 0.991285578038 Henry Cohn, 2026.
3 789 0.991288841169 Henry Cohn, 2026.
3 790 0.991311108786 Henry Cohn, 2024.
3 791 0.991319397658 Henry Cohn, 2024.
3 792 0.991327970122 Henry Cohn, 2024.
3 793 0.991338205671 Henry Cohn, 2026.
3 794 0.991352056553 Henry Cohn, 2026.
3 795 0.991358911140 Henry Cohn, 2026.
3 796 0.991373620973 Henry Cohn, 2024.
3 797 0.991382382844 Henry Cohn, 2024.
3 798 0.991393707731 Henry Cohn, 2026.
3 799 0.991404699582 Henry Cohn, 2026.
3 800 0.991414851715 Henry Cohn, 2024.
3 801 0.991423347330 Henry Cohn, 2026.
3 802 0.991434114261 Henry Cohn, 2026.
3 803 0.991449668169 Henry Cohn, 2026.
3 804 0.991459924550 Henry Cohn, 2024.
3 805 0.991468080347 Henry Cohn, 2024.
3 806 0.991477515412 Henry Cohn, 2026.
3 807 0.991488929993 Henry Cohn, 2024.
3 808 0.991499113517 Henry Cohn, 2026.
3 809 0.991512150102 Henry Cohn, 2026.
3 810 0.991520665687 Henry Cohn, 2024.
3 811 0.991528399154 Henry Cohn, 2026.
3 812 0.991540671551 Henry Cohn, 2026.
3 813 0.991547822510 Henry Cohn, 2024.
3 814 0.991561414637 Henry Cohn, 2026.
3 815 0.991567031953 Henry Cohn, 2026.
3 816 0.991580342934 Henry Cohn, 2024.
3 817 0.991591011326 Henry Cohn, 2024.
3 818 0.991597161561 Henry Cohn, 2026.
3 819 0.991609857368 Henry Cohn, 2026.
3 820 0.991624044122 Henry Cohn, 2024.
3 821 0.991630305671 Henry Cohn, 2026.
3 822 0.991639297578 Henry Cohn, 2026.
3 823 0.991650165081 Henry Cohn, 2024.
3 824 0.991660076581 Henry Cohn, 2024.
3 825 0.991668729522 Henry Cohn, 2026.
3 826 0.991679269723 Henry Cohn, 2026.
3 827 0.991687127772 Henry Cohn, 2026.
3 828 0.991700756929 Henry Cohn, 2024.
3 829 0.991713398461 Henry Cohn, 2024.
3 830 0.991721621394 Henry Cohn, 2024.
3 831 0.991727035085 Henry Cohn, 2026.
3 832 0.991733957066 Henry Cohn, 2026.
3 833 0.991746517506 Henry Cohn, 2026.
3 834 0.991758793313 Henry Cohn, 2026.
3 835 0.991760569004 Henry Cohn, 2026.
3 836 0.991772515586 Henry Cohn, 2026.
3 837 0.991780504235 Henry Cohn, 2026.
3 838 0.991797124004 Henry Cohn, 2026.
3 839 0.991804805109 Henry Cohn, 2026.
3 840 0.991804857577 Henry Cohn, 2026.
3 841 0.991814485211 Henry Cohn, 2026.
3 842 0.991823503475 Henry Cohn, 2026.
3 843 0.991831903046 Henry Cohn, 2026.
3 844 0.991847920029 Henry Cohn, 2026.
3 845 0.991854773658 Henry Cohn, 2026.
3 846 0.991862169989 Henry Cohn, 2026.
3 847 0.991869552737 Henry Cohn, 2026.
3 848 0.991876988612 Henry Cohn, 2026.
3 849 0.991884604749 Henry Cohn, 2026.
3 850 0.991891348326 Henry Cohn, 2026.
3 851 0.991898113852 Henry Cohn, 2026.
3 852 0.991904249523 R. H. Hardin, N. J. A. Sloane, and W. D. Smith, Tables of spherical codes with icosahedral symmetry, 1994–2000.
3 853 0.991918034200 Henry Cohn, 2026.
3 854 0.991935286013 Henry Cohn, 2026.
3 855 0.991948424070 Henry Cohn, 2026.
3 856 0.991960284649 Henry Cohn, 2026.
3 857 0.991976267864 Henry Cohn, 2026.
3 858 0.991987713948 Henry Cohn, 2026.
3 859 0.991995523149 Henry Cohn, 2026.
3 860 0.992000221128 Henry Cohn, 2026.
3 861 0.992009728198 Henry Cohn, 2026.
3 862 0.992019563511 Henry Cohn, 2026.
3 863 0.992031069811 Henry Cohn, 2026.
3 864 0.992045910827 Henry Cohn, 2025.
3 865 0.992049203335 Henry Cohn, 2026.
3 866 0.992059688764 Henry Cohn, 2026.
3 867 0.992072381754 Henry Cohn, 2025.
3 868 0.992079983049 Henry Cohn, 2026.
3 869 0.992081539702 Henry Cohn, 2026.
3 870 0.992086777431 Henry Cohn, 2026.
3 871 0.992092487858 Henry Cohn, 2026.
3 872 0.992098850920 R. H. Hardin, N. J. A. Sloane, and W. D. Smith, Tables of spherical codes with icosahedral symmetry, 1994–2000.
3 873 0.992109762293 Henry Cohn, 2026.
3 874 0.992125109843 Henry Cohn, 2026.
3 875 0.992137558537 Henry Cohn, 2026.
3 876 0.992144421990 Henry Cohn, 2026.
3 877 0.992154329715 Henry Cohn, 2025.
3 878 0.992163547750 Henry Cohn, 2026.
3 879 0.992169200903 Henry Cohn, 2026.
3 880 0.992185909971 Henry Cohn, 2025.
3 881 0.992192486886 Henry Cohn, 2025.
3 882 0.992198371680 Henry Cohn, 2025.
3 883 0.992205618367 Henry Cohn, 2026.
3 884 0.992214080515 Henry Cohn, 2026.
3 885 0.992224008705 Henry Cohn, 2026.
3 886 0.992236374477 Henry Cohn, 2026.
3 887 0.992242382220 Henry Cohn, 2025.
3 888 0.992255640544 Henry Cohn, 2026.
3 889 0.992263683213 Henry Cohn, 2026.
3 890 0.992270321239 Henry Cohn, 2026.
3 891 0.992282264042 Henry Cohn, 2026.
3 892 0.992285856380 Henry Cohn, 2026.
3 893 0.992296391181 Henry Cohn, 2026.
3 894 0.992309459744 Henry Cohn, 2025.
3 895 0.992316358484 Henry Cohn, 2025.
3 896 0.992316827559 Henry Cohn, 2026.
3 897 0.992332110080 Henry Cohn, 2025.
3 898 0.992338696092 Henry Cohn, 2025.
3 899 0.992345607803 Henry Cohn, 2026.
3 900 0.992355674576 Henry Cohn, 2026.
3 901 0.992359394276 Henry Cohn, 2026.
3 902 0.992372054499 Henry Cohn, 2026.
3 903 0.992381190467 Henry Cohn, 2026.
3 904 0.992389972710 Henry Cohn, 2026.
3 905 0.992399649020 Henry Cohn, 2026.
3 906 0.992403053527 Henry Cohn, 2026.
3 907 0.992414767538 Henry Cohn, 2026.
3 908 0.992421330104 Henry Cohn, 2026.
3 909 0.992428668081 Henry Cohn, 2026.
3 910 0.992437123795 Henry Cohn, 2025.
3 911 0.992442944556 Henry Cohn, 2026.
3 912 0.992454600852 Henry Cohn, 2025.
3 913 0.992469429369 Henry Cohn, 2026.
3 914 0.992471207708 Henry Cohn, 2025.
3 915 0.992480688764 Henry Cohn, 2026.
3 916 0.992487104106 Henry Cohn, 2026.
3 917 0.992497063598 Henry Cohn, 2026.
3 918 0.992505689210 Henry Cohn, 2026.
3 919 0.992512397559 Henry Cohn, 2026.
3 920 0.992517498713 Henry Cohn, 2026.
3 921 0.992531100880 Henry Cohn, 2026.
3 922 0.992535301909 Henry Cohn, 2026.
3 923 0.992545962026 Henry Cohn, 2026.
3 924 0.992553990146 Henry Cohn, 2025.
3 925 0.992561907804 Henry Cohn, 2026.
3 926 0.992564857172 Henry Cohn, 2026.
3 927 0.992577203372 Henry Cohn, 2026.
3 928 0.992580182279 Henry Cohn, 2026.
3 929 0.992588277032 Henry Cohn, 2026.
3 930 0.992594659250 Henry Cohn, 2026.
3 931 0.992603051462 Henry Cohn, 2026.
3 932 0.992611790006 Henry Cohn, 2026.
3 933 0.992624602034 Henry Cohn, 2025.
3 934 0.992625597524 Henry Cohn, 2026.
3 935 0.992638322600 Henry Cohn, 2026.
3 936 0.992646108501 Henry Cohn, 2026.
3 937 0.992652175938 Henry Cohn, 2026.
3 938 0.992665682904 Henry Cohn, 2025.
3 939 0.992672947443 Henry Cohn, 2025.
3 940 0.992677473476 Henry Cohn, 2026.
3 941 0.992684586209 Henry Cohn, 2026.
3 942 0.992696579115 Henry Cohn, 2025.
3 943 0.992698800265 Henry Cohn, 2026.
3 944 0.992711032694 Henry Cohn, 2026.
3 945 0.992717631580 Henry Cohn, 2025.
3 946 0.992721639700 Henry Cohn, 2026.
3 947 0.992726855400 Henry Cohn, 2026.
3 948 0.992735795685 Henry Cohn, 2026.
3 949 0.992751075568 Henry Cohn, 2026.
3 950 0.992751454986 Henry Cohn, 2026.
3 951 0.992759835316 Henry Cohn, 2026.
3 952 0.992771438024 Henry Cohn, 2025.
3 953 0.992777733355 Henry Cohn, 2026.
3 954 0.992783154812 Henry Cohn, 2026.
3 955 0.992790705359 Henry Cohn, 2026.
3 956 0.992801093482 Henry Cohn, 2025.
3 957 0.992810004476 Henry Cohn, 2025.
3 958 0.992816973866 Henry Cohn, 2026.
3 959 0.992823550146 Henry Cohn, 2026.
3 960 0.992829278097 Henry Cohn, 2026.
3 961 0.992838773549 Henry Cohn, 2025.
3 962 0.992842997011 Henry Cohn, 2026.
3 963 0.992851430995 Henry Cohn, 2026.
3 964 0.992860398135 Henry Cohn, 2025.
3 965 0.992868477120 Henry Cohn, 2026.
3 966 0.992873726531 Henry Cohn, 2026.
3 967 0.992879664851 Henry Cohn, 2026.
3 968 0.992886923604 Henry Cohn, 2025.
3 969 0.992894685138 Henry Cohn, 2026.
3 970 0.992900450859 Henry Cohn, 2026.
3 971 0.992910234827 Henry Cohn, 2025.
3 972 0.992915598654 Henry Cohn, 2025.
3 973 0.992918584057 Henry Cohn, 2026.
3 974 0.992924648281 Henry Cohn, 2026.
3 975 0.992931434741 Henry Cohn, 2026.
3 976 0.992940126449 Henry Cohn, 2026.
3 977 0.992953433939 Henry Cohn, 2025.
3 978 0.992956614028 Henry Cohn, 2026.
3 979 0.992964322570 Henry Cohn, 2026.
3 980 0.992974636259 Henry Cohn, 2024.
3 981 0.992981006799 Henry Cohn, 2026.
3 982 0.992986020733 Henry Cohn, 2026.
3 983 0.992998353831 Henry Cohn, 2025.
3 984 0.993003417762 Henry Cohn, 2025.
3 985 0.993011691492 Henry Cohn, 2025.
3 986 0.993014102270 Henry Cohn, 2026.
3 987 0.993015891188 Henry Cohn, 2026.
3 988 0.993022620847 Henry Cohn, 2026.
3 989 0.993037184620 Henry Cohn, 2025.
3 990 0.993045751650 Henry Cohn, 2025.
3 991 0.993048521565 Henry Cohn, 2026.
3 992 0.993056542407 Henry Cohn, 2026.
3 993 0.993060265908 Henry Cohn, 2026.
3 994 0.993068317376 Henry Cohn, 2026.
3 995 0.993077409156 Henry Cohn, 2026.
3 996 0.993082574107 Henry Cohn, 2026.
3 997 0.993095320957 Henry Cohn, 2026.
3 998 0.993095949081 Henry Cohn, 2026.
3 999 0.993105196296 Henry Cohn, 2026.
3 1000 0.993108149885 Henry Cohn, 2026.
3 1001 0.993116770895 Henry Cohn, 2026.
3 1002 0.993125357902 Henry Cohn, 2026.
3 1003 0.993132170420 Henry Cohn, 2025.
3 1004 0.993135753614 Henry Cohn, 2026.
3 1005 0.993147564194 Henry Cohn, 2026.
3 1006 0.993151569103 Henry Cohn, 2026.
3 1007 0.993154938707 Henry Cohn, 2026.
3 1008 0.993159005478 Henry Cohn, 2025.
3 1009 0.993168721248 Henry Cohn, 2026.
3 1010 0.993175475040 Henry Cohn, 2026.
3 1011 0.993183553075 Henry Cohn, 2026.
3 1012 0.993191203309 Henry Cohn, 2026.
3 1013 0.993196528382 Henry Cohn, 2026.
3 1014 0.993203054681 Henry Cohn, 2026.
3 1015 0.993208980356 Henry Cohn, 2026.
3 1016 0.993215310031 Henry Cohn, 2026.
3 1017 0.993222303764 Henry Cohn, 2026.
3 1018 0.993229913182 Henry Cohn, 2026.
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 0.993243150191 Henry Cohn, 2026.
3 1022 0.993250071049 Henry Cohn, 2026.
3 1023 0.993256367188 Henry Cohn, 2026.
3 1024 0.993263382473 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
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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 0.765202546890 Henry Cohn, 2025.
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 0.784899018852 Henry Cohn, 2025.
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 0.800765983579 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
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 0.807104890332 Henry Cohn, 2025.
4 106 0.807600771583 Henry Cohn, 2025.
4 107 0.808031793624 Henry Cohn, 2025.
4 108 0.808488610194 Henry Cohn, 2025.
4 109 0.808687291189 Henry Cohn, 2025.
4 110 0.808927278480 Henry Cohn, 2025.
4 111 0.808991157916 Henry Cohn, 2025.
4 112 0.809016055614 Henry Cohn, 2025.
4 113 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
4 114 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 0.824638011670 Henry Cohn, 2025.
4 122 0.826371365501 Henry Cohn, 2025.
4 123 0.827331732524 Henry Cohn, 2025.
4 124 0.829076814196 Henry Cohn, 2025.
4 125 0.830275122838 Henry Cohn, 2025.
4 126 0.831265978577 Henry Cohn, 2025.
4 127 0.832258295757 Henry Cohn, 2025.
4 128 0.833179391366 Henry Cohn, 2025.
4 129 0.833853106202 Henry Cohn, 2025.
4 130 0.834729130389 Henry Cohn, 2025.
4 131 0.835454616797 Henry Cohn, 2025.
4 132 0.835826242592 Henry Cohn, 2025.
4 133 0.836970287069 Henry Cohn, 2025.
4 134 0.837549857120 Henry Cohn, 2025.
4 135 0.838174290974 Henry Cohn, 2025.
4 136 0.838408035762 Henry Cohn, 2025.
4 137 0.838792717376 Henry Cohn, 2025.
4 138 0.839094608099 Henry Cohn, 2025.
4 139 0.839507413737 Henry Cohn, 2024.
4 140 0.839796230234 Henry Cohn, 2025.
4 141 0.840152855333 Henry Cohn, 2024.
4 142 0.840928789319 Henry Cohn, 2025.
4 143 0.842625863066 Henry Cohn, 2025.
4 144 0.843226230314 Henry Cohn, 2026.
4 145 0.845004703395 Henry Cohn, 2025.
4 146 0.846045189902 Henry Cohn, 2024.
4 147 0.846906008500 Henry Cohn, 2025.
4 148 0.847320837337 Henry Cohn, 2025.
4 149 0.847701351395 Henry Cohn, 2025.
4 150 0.848008139501 Henry Cohn, 2025.
4 151 0.848395999617 Henry Cohn, 2025.
4 152 0.848746833410 Henry Cohn, 2024.
4 153 0.849106783811 Henry Cohn, 2025.
4 154 0.849448181031 Henry Cohn, 2024.
4 155 0.850528693851 Henry Cohn, 2025.
4 156 0.852364181174 Henry Cohn, 2025.
4 157 0.853098036527 Henry Cohn, 2025.
4 158 0.853541001367 Henry Cohn, 2025.
4 159 0.853851387665 Henry Cohn, 2025.
4 160 0.854015402705 Henry Cohn, 2025.
4 161 0.855036011488 Henry Cohn, 2025.
4 162 0.856011990176 Henry Cohn, 2025.
4 163 0.856498246684 Henry Cohn, 2025.
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 0.859313343133 Henry Cohn, 2025.
4 169 0.860417510162 Henry Cohn, 2025.
4 170 0.861320274459 Henry Cohn, 2026.
4 171 0.861877205800 Henry Cohn, 2025.
4 172 0.862348518710 Henry Cohn, 2026.
4 173 0.862725307388 Henry Cohn, 2025.
4 174 0.863170417348 Henry Cohn, 2026.
4 175 0.863367463185 Henry Cohn, 2025.
4 176 0.863624102971 Henry Cohn, 2025.
4 177 0.863764381494 Henry Cohn, 2025.
4 178 0.863928834672 Henry Cohn, 2025.
4 179 0.864723195011 Henry Cohn, 2025.
4 180 0.865782670861 Henry Cohn, 2025.
4 181 0.866598382577 Henry Cohn, 2025.
4 182 0.867174335033 Henry Cohn, 2025.
4 183 0.867335807322 Henry Cohn, 2025.
4 184 0.867763055785 Henry Cohn, 2025.
4 185 0.868215850425 Henry Cohn, 2026.
4 186 0.868518800651 Henry Cohn, 2025.
4 187 0.868813031570 Henry Cohn, 2026, needs more optimization.
4 188 0.869207825431 Henry Cohn, 2025.
4 189 0.869491543071 Henry Cohn, 2025.
4 190 0.870050972636 Henry Cohn, 2025.
4 191 0.870814241870 Henry Cohn, 2025.
4 192 0.871341712847 Henry Cohn, 2025.
4 193 0.871545546243 Henry Cohn, 2025.
4 194 0.871792013221 Henry Cohn, 2025.
4 195 0.872105415403 Henry Cohn, 2026, needs more optimization.
4 196 0.872623379660 Henry Cohn, 2026.
4 197 0.873487426793 Henry Cohn, 2025.
4 198 0.874156501901 Henry Cohn, 2025.
4 199 0.875066499628 Henry Cohn, 2026.
4 200 0.875686480655 Henry Cohn, 2025.
4 201 0.876289870766 Henry Cohn, 2026.
4 202 0.876662092953 Henry Cohn, 2025.
4 203 0.876807613055 Henry Cohn, 2026.
4 204 0.877193219688 Henry Cohn, 2026.
4 205 0.877534211883 Henry Cohn, 2025.
4 206 0.877831247728 Henry Cohn, 2025.
4 207 0.877983074153 Henry Cohn, 2026.
4 208 0.878215104089 Henry Cohn, 2025.
4 209 0.878614728692 Henry Cohn, 2026.
4 210 0.879213799752 Henry Cohn, 2025.
4 211 0.879586628106 Henry Cohn, 2025.
4 212 0.879653371881 Henry Cohn, 2026.
4 213 0.879817587919 Henry Cohn, 2026.
4 214 0.879945724274 Henry Cohn, 2025.
4 215 0.880272662054 Henry Cohn, 2025.
4 216 0.880902709084 Henry Cohn, 2026.
4 217 0.881535768813 Henry Cohn, 2025.
4 218 0.881821797282 Henry Cohn, 2026, needs more optimization.
4 219 0.881957670465 Henry Cohn, 2025.
4 220 0.882547029792 Henry Cohn, 2025.
4 221 0.883034324004 Henry Cohn, 2026.
4 222 0.883456069925 Henry Cohn, 2025.
4 223 0.884138189446 Henry Cohn, 2025.
4 224 0.884684734191 Henry Cohn, 2025.
4 225 0.885119168015 Henry Cohn, 2026.
4 226 0.885323871301 Henry Cohn, 2026, needs more optimization.
4 227 0.885541386047 Henry Cohn, 2025.
4 228 0.885824040293 Henry Cohn, 2025.
4 229 0.886055273846 Henry Cohn, 2026.
4 230 0.886372063295 Henry Cohn, 2025.
4 231 0.886808387148 Henry Cohn, 2026, needs more optimization.
4 232 0.887100396043 Henry Cohn, 2026.
4 233 0.887339463629 Henry Cohn, 2025.
4 234 0.887586535331 Henry Cohn, 2025.
4 235 0.887931434008 Henry Cohn, 2025.
4 236 0.888076450831 Henry Cohn, 2025.
4 237 0.888444553045 Henry Cohn, 2025.
4 238 0.888895172867 Henry Cohn, 2025.
4 239 0.889105362853 Henry Cohn, 2026.
4 240 0.889490853205 Henry Cohn, 2026, needs more optimization.
4 241 0.889886657931 Henry Cohn, 2025.
4 242 0.890234249504 Henry Cohn, 2025.
4 243 0.890327494714 Henry Cohn, 2025.
4 244 0.890724603786 Henry Cohn, 2026.
4 245 0.890944532473 Henry Cohn, 2026, needs more optimization.
4 246 0.891230987587 Henry Cohn, 2025.
4 247 0.891664123274 Henry Cohn, 2026.
4 248 0.891998690612 Henry Cohn, 2026, needs more optimization.
4 249 0.892287393255 Henry Cohn, 2026, needs more optimization.
4 250 0.892630822839 Henry Cohn, 2026, needs more optimization.
4 251 0.893056433486 Henry Cohn, 2026, needs more optimization.
4 252 0.893324841746 Henry Cohn, 2026.
4 253 0.893448667465 Henry Cohn, 2026, needs more optimization.
4 254 0.893921415901 Henry Cohn, 2026.
4 255 0.893997549375 Henry Cohn, 2026.
4 256 0.894519020596 Henry Cohn, 2026, needs more optimization.
4 257 0.894704108549 Henry Cohn, 2026.
4 258 0.894983029765 Henry Cohn, 2026, needs more optimization.
4 259 0.895408561004 Henry Cohn, 2026, needs more optimization.
4 260 0.895633158406 Henry Cohn, 2026.
4 261 0.895904732007 Henry Cohn, 2026, needs more optimization.
4 262 0.896205734599 Henry Cohn, 2026.
4 263 0.896400284663 Henry Cohn, 2026, needs more optimization.
4 264 0.896671845836 Henry Cohn, 2026.
4 265 0.896833096504 Henry Cohn, 2026, needs more optimization.
4 266 0.897010030544 Henry Cohn, 2026, needs more optimization.
4 267 0.897223632806 Henry Cohn, 2026, needs more optimization.
4 268 0.897341968563 Henry Cohn, 2026, needs more optimization.
4 269 0.897620461845 Henry Cohn, 2026, needs more optimization.
4 270 0.897835789074 Henry Cohn, 2026, needs more optimization.
4 271 0.898148029343 Henry Cohn, 2026, needs more optimization.
4 272 0.898261418654 Henry Cohn, 2026, needs more optimization.
4 273 0.898338834453 Henry Cohn, 2026, needs more optimization.
4 274 0.898507718990 Henry Cohn, 2026, needs more optimization.
4 275 0.898703288723 Henry Cohn, 2026, needs more optimization.
4 276 0.898990513014 Henry Cohn, 2026, needs more optimization.
4 277 0.899342362741 Henry Cohn, 2026, needs more optimization.
4 278 0.899462686754 Henry Cohn, 2026, needs more optimization.
4 279 0.899595592024 Henry Cohn, 2026, needs more optimization.
4 280 0.899640980740 Henry Cohn, 2026, needs more optimization.
4 281 0.900127314981 Henry Cohn, 2026.
4 282 0.900628397128 Henry Cohn, 2026, needs more optimization.
4 283 0.900999811191 Henry Cohn, 2026, needs more optimization.
4 284 0.901370282618 Henry Cohn, 2026, needs more optimization.
4 285 0.901658073834 Henry Cohn, 2026, needs more optimization.
4 286 0.901879499070 Henry Cohn, 2026.
4 287 0.902030253803 Henry Cohn, 2026, needs more optimization.
4 288 0.902070772992 Henry Cohn, 2026, needs more optimization.
4 289 0.902147462122 Henry Cohn, 2026, needs more optimization.
4 290 0.902706635097 Henry Cohn, 2026, needs more optimization.
4 291 0.903108221029 Henry Cohn, 2026, needs more optimization.
4 292 0.903479836524 Henry Cohn, 2026, needs more optimization.
4 293 0.903823769043 Henry Cohn, 2026, needs more optimization.
4 294 0.904139899260 Henry Cohn, 2026, needs more optimization.
4 295 0.904227980830 Henry Cohn, 2026, needs more optimization.
4 296 0.904772951026 Henry Cohn, 2026, needs more optimization.
4 297 0.904778958627 Henry Cohn, 2026, needs more optimization.
4 298 0.904877273229 Henry Cohn, 2026, needs more optimization.
4 299 0.905146611996 Henry Cohn, 2026, needs more optimization.
4 300 0.905371027335 Henry Cohn, 2026, needs more optimization.
4 301 0.905597322561 Henry Cohn, 2026, needs more optimization.
4 302 0.905815771259 Henry Cohn, 2026, needs more optimization.
4 303 0.906090532593 Henry Cohn, 2026, needs more optimization.
4 304 0.906254637567 Henry Cohn, 2026, needs more optimization.
4 305 0.906320394191 Henry Cohn, 2026, needs more optimization.
4 306 0.906511545191 Henry Cohn, 2026, needs more optimization.
4 307 0.906769113518 Henry Cohn, 2026, needs more optimization.
4 308 0.906981088586 Henry Cohn, 2026, needs more optimization.
4 309 0.907307132039 Henry Cohn, 2026, needs more optimization.
4 310 0.907345166670 Henry Cohn, 2026, needs more optimization.
4 311 0.907521490654 Henry Cohn, 2026, needs more optimization.
4 312 0.907797923653 Henry Cohn, 2026, needs more optimization.
4 313 0.907999397383 Henry Cohn, 2026, needs more optimization.
4 314 0.908175258934 Henry Cohn, 2026, needs more optimization.
4 315 0.908334414140 Henry Cohn, 2026, needs more optimization.
4 316 0.908439135541 Henry Cohn, 2026, needs more optimization.
4 317 0.908713930710 Henry Cohn, 2026, needs more optimization.
4 318 0.908941299492 Henry Cohn, 2026, needs more optimization.
4 319 0.909145422035 Henry Cohn, 2026, needs more optimization.
4 320 0.909320854901 Henry Cohn, 2026, needs more optimization.
4 321 0.909519289452 Henry Cohn, 2026, needs more optimization.
4 322 0.909572926043 Henry Cohn, 2026, needs more optimization.
4 323 0.909664277020 Henry Cohn, 2026, needs more optimization.
4 324 0.909833171539 Henry Cohn, 2026, needs more optimization.
4 325 0.910040662612 Henry Cohn, 2026, needs more optimization.
4 326 0.910201967565 Henry Cohn, 2026, needs more optimization.
4 327 0.910288142665 Henry Cohn, 2026, needs more optimization.
4 328 0.910395023215 Henry Cohn, 2026, needs more optimization.
4 329 0.910665716837 Henry Cohn, 2026, needs more optimization.
4 330 0.910911544731 Henry Cohn, 2026, needs more optimization.
4 331 0.911137018339 Henry Cohn, 2026, needs more optimization.
4 332 0.911288728489 Henry Cohn, 2026, needs more optimization.
4 333 0.911521003229 Henry Cohn, 2026, needs more optimization.
4 334 0.911635352506 Henry Cohn, 2026, needs more optimization.
4 335 0.911928213494 Henry Cohn, 2026, needs more optimization.
4 336 0.912142697002 Henry Cohn, 2026, needs more optimization.
4 337 0.912392286265 Henry Cohn, 2026, needs more optimization.
4 338 0.912622753554 Henry Cohn, 2026, needs more optimization.
4 339 0.912849496476 Henry Cohn, 2026, needs more optimization.
4 340 0.913082210088 Henry Cohn, 2026, needs more optimization.
4 341 0.913350209857 Henry Cohn, 2026, needs more optimization.
4 342 0.913450337285 Henry Cohn, 2026, needs more optimization.
4 343 0.913635300906 Henry Cohn, 2026, needs more optimization.
4 344 0.913824325681 Henry Cohn, 2026, needs more optimization.
4 345 0.914105339599 Henry Cohn, 2026, needs more optimization.
4 346 0.914199615014 Henry Cohn, 2026, needs more optimization.
4 347 0.914370750170 Henry Cohn, 2026, needs more optimization.
4 348 0.914597659316 Henry Cohn, 2026, needs more optimization.
4 349 0.914787148082 Henry Cohn, 2026, needs more optimization.
4 350 0.914826513236 Henry Cohn, 2026, needs more optimization.
4 351 0.915003300656 Henry Cohn, 2026, needs more optimization.
4 352 0.915195509383 Henry Cohn, 2026, needs more optimization.
4 353 0.915241483582 Henry Cohn, 2026, needs more optimization.
4 354 0.915422024189 Henry Cohn, 2026, needs more optimization.
4 355 0.915510192424 Henry Cohn, 2026, needs more optimization.
4 356 0.915645215411 Henry Cohn, 2026, needs more optimization.
4 357 0.915776007982 Henry Cohn, 2026, needs more optimization.
4 358 0.915936268027 Henry Cohn, 2026, needs more optimization.
4 359 0.916064146263 Henry Cohn, 2026, needs more optimization.
4 360 0.916227021849 Henry Cohn, 2026, needs more optimization.
4 361 0.916284770484 Henry Cohn, 2026, needs more optimization.
4 362 0.916289039289 Henry Cohn, 2026, needs more optimization.
4 363 0.916449861679 Henry Cohn, 2026, needs more optimization.
4 364 0.916566403303 Henry Cohn, 2026, needs more optimization.
4 365 0.916740282563 Henry Cohn, 2026, needs more optimization.
4 366 0.916829238026 Henry Cohn, 2026, needs more optimization.
4 367 0.917145263466 Henry Cohn, 2026, needs more optimization.
4 368 0.917194987663 Henry Cohn, 2026, needs more optimization.
4 369 0.917257024392 Henry Cohn, 2026, needs more optimization.
4 370 0.917316318428 Henry Cohn, 2026, needs more optimization.
4 371 0.917450008535 Henry Cohn, 2026, needs more optimization.
4 372 0.917607613908 Henry Cohn, 2026, needs more optimization.
4 373 0.917877181400 Henry Cohn, 2026, needs more optimization.
4 374 0.918149110454 Henry Cohn, 2026, needs more optimization.
4 375 0.918343267677 Henry Cohn, 2026, needs more optimization.
4 376 0.918496200197 Henry Cohn, 2026, needs more optimization.
4 377 0.918632546116 Henry Cohn, 2026, needs more optimization.
4 378 0.918655311462 Henry Cohn, 2026, needs more optimization.
4 379 0.918870208890 Henry Cohn, 2026, needs more optimization.
4 380 0.918968692656 Henry Cohn, 2026, needs more optimization.
4 381 0.919142141143 Henry Cohn, 2026, needs more optimization.
4 382 0.919183443236 Henry Cohn, 2026, needs more optimization.
4 383 0.919277002299 Henry Cohn, 2026, needs more optimization.
4 384 0.919338011243 Henry Cohn, 2026, needs more optimization.
4 385 0.919374377970 Henry Cohn, 2026, needs more optimization.
4 386 0.919477835382 Henry Cohn, 2026, needs more optimization.
4 387 0.919485774302 Henry Cohn, 2026, needs more optimization.
4 388 0.919686793466 Henry Cohn, 2026, needs more optimization.
4 389 0.919730441403 Henry Cohn, 2026, needs more optimization.
4 390 0.919936185291 Henry Cohn, 2026, needs more optimization.
4 391 0.920140569259 Henry Cohn, 2026, needs more optimization.
4 392 0.920320385273 Henry Cohn, 2026, needs more optimization.
4 393 0.920439156994 Henry Cohn, 2026, needs more optimization.
4 394 0.920471453544 Henry Cohn, 2026, needs more optimization.
4 395 0.920571076788 Henry Cohn, 2026, needs more optimization.
4 396 0.920794261267 Henry Cohn, 2026, needs more optimization.
4 397 0.921004413869 Henry Cohn, 2026, needs more optimization.
4 398 0.921112970294 Henry Cohn, 2026, needs more optimization.
4 399 0.921189392413 Henry Cohn, 2026, needs more optimization.
4 400 0.921366366210 Henry Cohn, 2026, needs more optimization.
4 401 0.921449440992 Henry Cohn, 2026, needs more optimization.
4 402 0.921725028902 Henry Cohn, 2026, needs more optimization.
4 403 0.921791325446 Henry Cohn, 2026, needs more optimization.
4 404 0.921826302575 Henry Cohn, 2026, needs more optimization.
4 405 0.921860547137 Henry Cohn, 2026, needs more optimization.
4 406 0.921911402632 Henry Cohn, 2026, needs more optimization.
4 407 0.921971420756 Henry Cohn, 2026, needs more optimization.
4 408 0.921997678969 Henry Cohn, 2026, needs more optimization.
4 409 0.922339069278 Henry Cohn, 2026, needs more optimization.
4 410 0.922648905980 Henry Cohn, 2026, needs more optimization.
4 411 0.922708085815 Henry Cohn, 2026, needs more optimization.
4 412 0.922993803004 Henry Cohn, 2026, needs more optimization.
4 413 0.923215118835 Henry Cohn, 2026, needs more optimization.
4 414 0.923244298744 Henry Cohn, 2026, needs more optimization.
4 415 0.923432191557 Henry Cohn, 2026, needs more optimization.
4 416 0.923453704731 Henry Cohn, 2026, needs more optimization.
4 417 0.923515616757 Henry Cohn, 2026, needs more optimization.
4 418 0.923599147063 Henry Cohn, 2026, needs more optimization.
4 419 0.923725702147 Henry Cohn, 2026, needs more optimization.
4 420 0.923894052932 Henry Cohn, 2026, needs more optimization.
4 421 0.923985670355 Henry Cohn, 2026, needs more optimization.
4 422 0.924134534055 Henry Cohn, 2026, needs more optimization.
4 423 0.924286180446 Henry Cohn, 2026, needs more optimization.
4 424 0.924500356469 Henry Cohn, 2026, needs more optimization.
4 425 0.924700622483 Henry Cohn, 2026, needs more optimization.
4 426 0.924907623209 Henry Cohn, 2026, needs more optimization.
4 427 0.925106226756 Henry Cohn, 2026, needs more optimization.
4 428 0.925225319530 Henry Cohn, 2026, needs more optimization.
4 429 0.925413136258 Henry Cohn, 2026, needs more optimization.
4 430 0.925532814879 Henry Cohn, 2026, needs more optimization.
4 431 0.925692216280 Henry Cohn, 2026, needs more optimization.
4 432 0.925804472831 Henry Cohn, 2026, needs more optimization.
4 433 0.925932575541 Henry Cohn, 2026, needs more optimization.
4 434 0.925999782372 Henry Cohn, 2026, needs more optimization.
4 435 0.926183314445 Henry Cohn, 2026, needs more optimization.
4 436 0.926274186098 Henry Cohn, 2026, needs more optimization.
4 437 0.926442612201 Henry Cohn, 2026, needs more optimization.
4 438 0.926608250021 Henry Cohn, 2026, needs more optimization.
4 439 0.926762327056 Henry Cohn, 2026, needs more optimization.
4 440 0.926891793274 Henry Cohn, 2026, needs more optimization.
4 441 0.927036897270 Henry Cohn, 2026, needs more optimization.
4 442 0.927161299276 Henry Cohn, 2026, needs more optimization.
4 443 0.927211489178 Henry Cohn, 2026, needs more optimization.
4 444 0.927340348909 Henry Cohn, 2026, needs more optimization.
4 445 0.927430188275 Henry Cohn, 2026, needs more optimization.
4 446 0.927513767991 Henry Cohn, 2026, needs more optimization.
4 447 0.927594446705 Henry Cohn, 2026, needs more optimization.
4 448 0.927712562643 Henry Cohn, 2026, needs more optimization.
4 449 0.927854953326 Henry Cohn, 2026, needs more optimization.
4 450 0.928010216190 Henry Cohn, 2026, needs more optimization.
4 451 0.928081667443 Henry Cohn, 2026, needs more optimization.
4 452 0.928144368148 Henry Cohn, 2026, needs more optimization.
4 453 0.928199790082 Henry Cohn, 2026, needs more optimization.
4 454 0.928308535889 Henry Cohn, 2026, needs more optimization.
4 455 0.928327652364 Henry Cohn, 2026, needs more optimization.
4 456 0.928426730628 Henry Cohn, 2026, needs more optimization.
4 457 0.928541693079 Henry Cohn, 2026, needs more optimization.
4 458 0.928592584441 Henry Cohn, 2026, needs more optimization.
4 459 0.928697418146 Henry Cohn, 2026, needs more optimization.
4 460 0.928755864511 Henry Cohn, 2026, needs more optimization.
4 461 0.928916310308 Henry Cohn, 2026, needs more optimization.
4 462 0.929031342254 Henry Cohn, 2026, needs more optimization.
4 463 0.929129927877 Henry Cohn, 2026, needs more optimization.
4 464 0.929225840227 Henry Cohn, 2026, needs more optimization.
4 465 0.929338094586 Henry Cohn, 2026, needs more optimization.
4 466 0.929506469996 Henry Cohn, 2026, needs more optimization.
4 467 0.929653571878 Henry Cohn, 2026, needs more optimization.
4 468 0.929731611112 Henry Cohn, 2026, needs more optimization.
4 469 0.929858674931 Henry Cohn, 2026, needs more optimization.
4 470 0.929984327844 Henry Cohn, 2026, needs more optimization.
4 471 0.930100611643 Henry Cohn, 2026, needs more optimization.
4 472 0.930284449560 Henry Cohn, 2026, needs more optimization.
4 473 0.930409702045 Henry Cohn, 2026, needs more optimization.
4 474 0.930545465121 Henry Cohn, 2026, needs more optimization.
4 475 0.930658847153 Henry Cohn, 2026, needs more optimization.
4 476 0.930696691345 Henry Cohn, 2026, needs more optimization.
4 477 0.930791540307 Henry Cohn, 2026, needs more optimization.
4 478 0.930961014093 Henry Cohn, 2026, needs more optimization.
4 479 0.930994390563 Henry Cohn, 2026, needs more optimization.
4 480 0.931045163513 Henry Cohn, 2026, needs more optimization.
4 481 0.931140499323 Henry Cohn, 2026, needs more optimization.
4 482 0.931247551250 Henry Cohn, 2026, needs more optimization.
4 483 0.931363171188 Henry Cohn, 2026, needs more optimization.
4 484 0.931487774468 Henry Cohn, 2026, needs more optimization.
4 485 0.931577743958 Henry Cohn, 2026, needs more optimization.
4 486 0.931621025468 Henry Cohn, 2026, needs more optimization.
4 487 0.931707386556 Henry Cohn, 2026, needs more optimization.
4 488 0.931811992000 Henry Cohn, 2026, needs more optimization.
4 489 0.931863780763 Henry Cohn, 2026, needs more optimization.
4 490 0.931967850246 Henry Cohn, 2026, needs more optimization.
4 491 0.932017417577 Henry Cohn, 2026, needs more optimization.
4 492 0.932072624058 Henry Cohn, 2026, needs more optimization.
4 493 0.932141803490 Henry Cohn, 2026, needs more optimization.
4 494 0.932206147656 Henry Cohn, 2026, needs more optimization.
4 495 0.932288956025 Henry Cohn, 2026, needs more optimization.
4 496 0.932380057725 Henry Cohn, 2026, needs more optimization.
4 497 0.932491819288 Henry Cohn, 2026, needs more optimization.
4 498 0.932587937420 Henry Cohn, 2026, needs more optimization.
4 499 0.932634554774 Henry Cohn, 2026, needs more optimization.
4 500 0.932710874483 Henry Cohn, 2026, needs more optimization.
4 501 0.932739001097 Henry Cohn, 2026, needs more optimization.
4 502 0.932865161974 Henry Cohn, 2026, needs more optimization.
4 503 0.932924445300 Henry Cohn, 2026, needs more optimization.
4 504 0.933024675797 Henry Cohn, 2026, needs more optimization.
4 505 0.933093463736 Henry Cohn, 2026, needs more optimization.
4 506 0.933166077018 Henry Cohn, 2026, needs more optimization.
4 507 0.933277068080 Henry Cohn, 2026, needs more optimization.
4 508 0.933350528100 Henry Cohn, 2026, needs more optimization.
4 509 0.933456447006 Henry Cohn, 2026, needs more optimization.
4 510 0.933546392444 Henry Cohn, 2026, needs more optimization.
4 511 0.933642079429 Henry Cohn, 2026, needs more optimization.
4 512 0.933740816391 Henry Cohn, 2026, needs more optimization.
4 513 0.933891027017 Henry Cohn, 2026, needs more optimization.
4 514 0.933943029905 Henry Cohn, 2026, needs more optimization.
4 515 0.934029689334 Henry Cohn, 2026, needs more optimization.
4 516 0.934175405035 Henry Cohn, 2026, needs more optimization.
4 517 0.934193623655 Henry Cohn, 2026, needs more optimization.
4 518 0.934305880562 Henry Cohn, 2026, needs more optimization.
4 519 0.934446708180 Henry Cohn, 2026, needs more optimization.
4 520 0.934503803797 Henry Cohn, 2026, needs more optimization.
4 521 0.934588036056 Henry Cohn, 2026, needs more optimization.
4 522 0.934731881175 Henry Cohn, 2026, needs more optimization.
4 523 0.934786351408 Henry Cohn, 2026, needs more optimization.
4 524 0.934876192207 Henry Cohn, 2026, needs more optimization.
4 525 0.934988354899 Henry Cohn, 2026, needs more optimization.
4 526 0.935084870095 Henry Cohn, 2026, needs more optimization.
4 527 0.935178437734 Henry Cohn, 2026, needs more optimization.
4 528 0.935245852919 Henry Cohn, 2026, needs more optimization.
4 529 0.935293055697 Henry Cohn, 2026, needs more optimization.
4 530 0.935327099385 Henry Cohn, 2026, needs more optimization.
4 531 0.935457819457 Henry Cohn, 2026, needs more optimization.
4 532 0.935522956395 Henry Cohn, 2026, needs more optimization.
4 533 0.935592683938 Henry Cohn, 2026, needs more optimization.
4 534 0.935715442308 Henry Cohn, 2026, needs more optimization.
4 535 0.935747991449 Henry Cohn, 2026, needs more optimization.
4 536 0.935812732360 Henry Cohn, 2026, needs more optimization.
4 537 0.935867067844 Henry Cohn, 2026, needs more optimization.
4 538 0.936004679565 Henry Cohn, 2026, needs more optimization.
4 539 0.936070029629 Henry Cohn, 2026, needs more optimization.
4 540 0.936168404456 Henry Cohn, 2026, needs more optimization.
4 541 0.936204660512 Henry Cohn, 2026, needs more optimization.
4 542 0.936272959491 Henry Cohn, 2026, needs more optimization.
4 543 0.936387379135 Henry Cohn, 2026, needs more optimization.
4 544 0.936453044762 Henry Cohn, 2026, needs more optimization.
4 545 0.936534648773 Henry Cohn, 2026, needs more optimization.
4 546 0.936570958638 Henry Cohn, 2026, needs more optimization.
4 547 0.936600725334 Henry Cohn, 2026, needs more optimization.
4 548 0.936670619513 Henry Cohn, 2026, needs more optimization.
4 549 0.936739802653 Henry Cohn, 2026, needs more optimization.
4 550 0.936830693522 Henry Cohn, 2026, needs more optimization.
4 551 0.936860398767 Henry Cohn, 2026, needs more optimization.
4 552 0.936982462074 Henry Cohn, 2026, needs more optimization.
4 553 0.937066767053 Henry Cohn, 2026, needs more optimization.
4 554 0.937186210427 Henry Cohn, 2026, needs more optimization.
4 555 0.937288047806 Henry Cohn, 2026, needs more optimization.
4 556 0.937342631054 Henry Cohn, 2026, needs more optimization.
4 557 0.937410596777 Henry Cohn, 2026, needs more optimization.
4 558 0.937507306541 Henry Cohn, 2026, needs more optimization.
4 559 0.937608429004 Henry Cohn, 2026, needs more optimization.
4 560 0.937687916367 Henry Cohn, 2026, needs more optimization.
4 561 0.937741391262 Henry Cohn, 2026, needs more optimization.
4 562 0.937800144016 Henry Cohn, 2026, needs more optimization.
4 563 0.937854661950 Henry Cohn, 2026, needs more optimization.
4 564 0.937946961212 Henry Cohn, 2026, needs more optimization.
4 565 0.938001486933 Henry Cohn, 2026, needs more optimization.
4 566 0.938108776587 Henry Cohn, 2026, needs more optimization.
4 567 0.938170343383 Henry Cohn, 2026, needs more optimization.
4 568 0.938268917322 Henry Cohn, 2026, needs more optimization.
4 569 0.938344596514 Henry Cohn, 2026, needs more optimization.
4 570 0.938349213464 Henry Cohn, 2026, needs more optimization.
4 571 0.938420351033 Henry Cohn, 2026, needs more optimization.
4 572 0.938479672766 Henry Cohn, 2026, needs more optimization.
4 573 0.938551978310 Henry Cohn, 2026, needs more optimization.
4 574 0.938623058963 Henry Cohn, 2026, needs more optimization.
4 575 0.938726707367 Henry Cohn, 2026, needs more optimization.
4 576 0.938790749560 Henry Cohn, 2026, needs more optimization.
4 577 0.938907415166 Henry Cohn, 2026, needs more optimization.
4 578 0.938953373705 Henry Cohn, 2026, needs more optimization.
4 579 0.939048503269 Henry Cohn, 2026, needs more optimization.
4 580 0.939141209011 Henry Cohn, 2026, needs more optimization.
4 581 0.939204113775 Henry Cohn, 2026, needs more optimization.
4 582 0.939262567809 Henry Cohn, 2026, needs more optimization.
4 583 0.939307181668 Henry Cohn, 2026, needs more optimization.
4 584 0.939329801190 Henry Cohn, 2026, needs more optimization.
4 585 0.939432775300 Henry Cohn, 2026, needs more optimization.
4 586 0.939487339467 Henry Cohn, 2026, needs more optimization.
4 587 0.939550388137 Henry Cohn, 2026, needs more optimization.
4 588 0.939559854443 Henry Cohn, 2026, needs more optimization.
4 589 0.939637595697 Henry Cohn, 2026, needs more optimization.
4 590 0.939651089477 Henry Cohn, 2026, needs more optimization.
4 591 0.939776031329 Henry Cohn, 2026, needs more optimization.
4 592 0.939828354519 Henry Cohn, 2026, needs more optimization.
4 593 0.939829434014 Henry Cohn, 2026, needs more optimization.
4 594 0.939848631322 Henry Cohn, 2026, needs more optimization.
4 595 0.939917452743 Henry Cohn, 2026, needs more optimization.
4 596 0.939973509239 Henry Cohn, 2026, needs more optimization.
4 597 0.939992332306 Henry Cohn, 2026, needs more optimization.
4 598 0.940086205393 Henry Cohn, 2026, needs more optimization.
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4 600 0.940184615049 Henry Cohn, 2026, needs more optimization.
4 601 0.940232638061 Henry Cohn, 2026, needs more optimization.
4 602 0.940339364566 Henry Cohn, 2026, needs more optimization.
4 603 0.940407863056 Henry Cohn, 2026, needs more optimization.
4 604 0.940530322269 Henry Cohn, 2026, needs more optimization.
4 605 0.940595900958 Henry Cohn, 2026, needs more optimization.
4 606 0.940629335682 Henry Cohn, 2026, needs more optimization.
4 607 0.940690439080 Henry Cohn, 2026, needs more optimization.
4 608 0.940763807176 Henry Cohn, 2026, needs more optimization.
4 609 0.940823095867 Henry Cohn, 2026, needs more optimization.
4 610 0.940912764060 Henry Cohn, 2026, needs more optimization.
4 611 0.940947296176 Henry Cohn, 2026, needs more optimization.
4 612 0.940999314566 Henry Cohn, 2026, needs more optimization.
4 613 0.941058525428 Henry Cohn, 2026, needs more optimization.
4 614 0.941160989544 Henry Cohn, 2026, needs more optimization.
4 615 0.941237629305 Henry Cohn, 2026, needs more optimization.
4 616 0.941276677520 Henry Cohn, 2026, needs more optimization.
4 617 0.941339359273 Henry Cohn, 2026, needs more optimization.
4 618 0.941401972633 Henry Cohn, 2026, needs more optimization.
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4 620 0.941512477236 Henry Cohn, 2026, needs more optimization.
4 621 0.941548200859 Henry Cohn, 2026, needs more optimization.
4 622 0.941656553399 Henry Cohn, 2026, needs more optimization.
4 623 0.941696504775 Henry Cohn, 2026, needs more optimization.
4 624 0.941766598837 Henry Cohn, 2026, needs more optimization.
4 625 0.941838477621 Henry Cohn, 2026, needs more optimization.
4 626 0.941955473445 Henry Cohn, 2026, needs more optimization.
4 627 0.941998046630 Henry Cohn, 2026, needs more optimization.
4 628 0.942077737409 Henry Cohn, 2026, needs more optimization.
4 629 0.942133235422 Henry Cohn, 2026, needs more optimization.
4 630 0.942218591859 Henry Cohn, 2026, needs more optimization.
4 631 0.942289209887 Henry Cohn, 2026, needs more optimization.
4 632 0.942316246952 Henry Cohn, 2026, needs more optimization.
4 633 0.942417389788 Henry Cohn, 2026, needs more optimization.
4 634 0.942493417035 Henry Cohn, 2026, needs more optimization.
4 635 0.942529575404 Henry Cohn, 2026, needs more optimization.
4 636 0.942596149031 Henry Cohn, 2026, needs more optimization.
4 637 0.942614512011 Henry Cohn, 2026, needs more optimization.
4 638 0.942691700853 Henry Cohn, 2026, needs more optimization.
4 639 0.942756383220 Henry Cohn, 2026, needs more optimization.
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4 641 0.942876082916 Henry Cohn, 2026, needs more optimization.
4 642 0.942969051183 Henry Cohn, 2026, needs more optimization.
4 643 0.943068435656 Henry Cohn, 2026, needs more optimization.
4 644 0.943073919626 Henry Cohn, 2026, needs more optimization.
4 645 0.943119062157 Henry Cohn, 2026, needs more optimization.
4 646 0.943159621520 Henry Cohn, 2026, needs more optimization.
4 647 0.943207748662 Henry Cohn, 2026, needs more optimization.
4 648 0.943218886107 Henry Cohn, 2026, needs more optimization.
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4 650 0.943274408412 Henry Cohn, 2026, needs more optimization.
4 651 0.943339298644 Henry Cohn, 2026, needs more optimization.
4 652 0.943364627653 Henry Cohn, 2026, needs more optimization.
4 653 0.943379166456 Henry Cohn, 2026, needs more optimization.
4 654 0.943389712193 Henry Cohn, 2026, needs more optimization.
4 655 0.943451782733 Henry Cohn, 2026, needs more optimization.
4 656 0.943484499546 Henry Cohn, 2026, needs more optimization.
4 657 0.943546301828 Henry Cohn, 2026, needs more optimization.
4 658 0.943547400862 Henry Cohn, 2026, needs more optimization.
4 659 0.943561797746 Henry Cohn, 2026, needs more optimization.
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4 661 0.943623981623 Henry Cohn, 2026, needs more optimization.
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4 663 0.943709896491 Henry Cohn, 2026, needs more optimization.
4 664 0.943744075834 Henry Cohn, 2026, needs more optimization.
4 665 0.943779090320 Henry Cohn, 2026, needs more optimization.
4 666 0.943797580431 Henry Cohn, 2026, needs more optimization.
4 667 0.943828245741 Henry Cohn, 2026, needs more optimization.
4 668 0.943865486021 Henry Cohn, 2026, needs more optimization.
4 669 0.943891726237 Henry Cohn, 2026, needs more optimization.
4 670 0.943960504101 Henry Cohn, 2026, needs more optimization.
4 671 0.943997287212 Henry Cohn, 2026, needs more optimization.
4 672 0.944039855377 Henry Cohn, 2026, needs more optimization.
4 673 0.944115139421 Henry Cohn, 2026, needs more optimization.
4 674 0.944214400929 Henry Cohn, 2026, needs more optimization.
4 675 0.944323183258 Henry Cohn, 2026, needs more optimization.
4 676 0.944351012950 Henry Cohn, 2026, needs more optimization.
4 677 0.944400044434 Henry Cohn, 2026, needs more optimization.
4 678 0.944513177010 Henry Cohn, 2026, needs more optimization.
4 679 0.944589410903 Henry Cohn, 2026, needs more optimization.
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4 681 0.944719294985 Henry Cohn, 2026, needs more optimization.
4 682 0.944803776327 Henry Cohn, 2026, needs more optimization.
4 683 0.944832824278 Henry Cohn, 2026, needs more optimization.
4 684 0.944916593807 Henry Cohn, 2026, needs more optimization.
4 685 0.944976371350 Henry Cohn, 2026, needs more optimization.
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4 688 0.945216056386 Henry Cohn, 2026, needs more optimization.
4 689 0.945292073566 Henry Cohn, 2026, needs more optimization.
4 690 0.945359270498 Henry Cohn, 2026, needs more optimization.
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4 693 0.945612663751 Henry Cohn, 2026, needs more optimization.
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4 704 0.946305132993 Henry Cohn, 2026, needs more optimization.
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4 713 0.946724060150 Henry Cohn, 2026, needs more optimization.
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4 721 0.947056881948 Henry Cohn, 2026, needs more optimization.
4 722 0.947101659295 Henry Cohn, 2026, needs more optimization.
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4 736 0.947610938524 Henry Cohn, 2026, needs more optimization.
4 737 0.947663931827 Henry Cohn, 2026, needs more optimization.
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4 739 0.947707558771 Henry Cohn, 2026, needs more optimization.
4 740 0.947738221961 Henry Cohn, 2026, needs more optimization.
4 741 0.947822832384 Henry Cohn, 2026, needs more optimization.
4 742 0.947838670232 Henry Cohn, 2026, needs more optimization.
4 743 0.947863972650 Henry Cohn, 2026, needs more optimization.
4 744 0.947943132227 Henry Cohn, 2026, needs more optimization.
4 745 0.947997830730 Henry Cohn, 2026, needs more optimization.
4 746 0.948055152431 Henry Cohn, 2026, needs more optimization.
4 747 0.948098775358 Henry Cohn, 2026, needs more optimization.
4 748 0.948118955650 Henry Cohn, 2026, needs more optimization.
4 749 0.948180941790 Henry Cohn, 2026, needs more optimization.
4 750 0.948240961124 Henry Cohn, 2026, needs more optimization.
4 751 0.948281567224 Henry Cohn, 2026, needs more optimization.
4 752 0.948317681148 Henry Cohn, 2026, needs more optimization.
4 753 0.948343956992 Henry Cohn, 2026, needs more optimization.
4 754 0.948359386068 Henry Cohn, 2026, needs more optimization.
4 755 0.948384262299 Henry Cohn, 2026, needs more optimization.
4 756 0.948420397625 Henry Cohn, 2026, needs more optimization.
4 757 0.948469780465 Henry Cohn, 2026, needs more optimization.
4 758 0.948528487980 Henry Cohn, 2026, needs more optimization.
4 759 0.948556744086 Henry Cohn, 2026, needs more optimization.
4 760 0.948640993799 Henry Cohn, 2026, needs more optimization.
4 761 0.948682943161 Henry Cohn, 2026, needs more optimization.
4 762 0.948762288331 Henry Cohn, 2026, needs more optimization.
4 763 0.948802204905 Henry Cohn, 2026, needs more optimization.
4 764 0.948840889479 Henry Cohn, 2026, needs more optimization.
4 765 0.948849449421 Henry Cohn, 2026, needs more optimization.
4 766 0.948910168880 Henry Cohn, 2026, needs more optimization.
4 767 0.948941895698 Henry Cohn, 2026, needs more optimization.
4 768 0.948970798283 Henry Cohn, 2026, needs more optimization.
4 769 0.949050285264 Henry Cohn, 2026, needs more optimization.
4 770 0.949099000974 Henry Cohn, 2026, needs more optimization.
4 771 0.949105033724 Henry Cohn, 2026, needs more optimization.
4 772 0.949147791768 Henry Cohn, 2026, needs more optimization.
4 773 0.949229069679 Henry Cohn, 2026, needs more optimization.
4 774 0.949298786222 Henry Cohn, 2026, needs more optimization.
4 775 0.949335351885 Henry Cohn, 2026, needs more optimization.
4 776 0.949366159225 Henry Cohn, 2026, needs more optimization.
4 777 0.949404776634 Henry Cohn, 2026, needs more optimization.
4 778 0.949415850534 Henry Cohn, 2026, needs more optimization.
4 779 0.949499195995 Henry Cohn, 2026, needs more optimization.
4 780 0.949516622040 Henry Cohn, 2026, needs more optimization.
4 781 0.949534537967 Henry Cohn, 2026, needs more optimization.
4 782 0.949545902032 Henry Cohn, 2026, needs more optimization.
4 783 0.949603161194 Henry Cohn, 2026, needs more optimization.
4 784 0.949656939583 Henry Cohn, 2026, needs more optimization.
4 785 0.949673456567 Henry Cohn, 2026, needs more optimization.
4 786 0.949734486953 Henry Cohn, 2026, needs more optimization.
4 787 0.949764311087 Henry Cohn, 2026, needs more optimization.
4 788 0.949807482834 Henry Cohn, 2026, needs more optimization.
4 789 0.949822071318 Henry Cohn, 2026, needs more optimization.
4 790 0.949865513938 Henry Cohn, 2026, needs more optimization.
4 791 0.949888506746 Henry Cohn, 2026, needs more optimization.
4 792 0.949937628387 Henry Cohn, 2026, needs more optimization.
4 793 0.949989922651 Henry Cohn, 2026, needs more optimization.
4 794 0.949991064746 Henry Cohn, 2026, needs more optimization.
4 795 0.950018326026 Henry Cohn, 2026, needs more optimization.
4 796 0.950052370671 Henry Cohn, 2026, needs more optimization.
4 797 0.950072246468 Henry Cohn, 2026, needs more optimization.
4 798 0.950090549668 Henry Cohn, 2026, needs more optimization.
4 799 0.950137309063 Henry Cohn, 2026, needs more optimization.
4 800 0.950162489668 Henry Cohn, 2026, needs more optimization.
4 801 0.950165371598 Henry Cohn, 2026, needs more optimization.
4 802 0.950168546229 Henry Cohn, 2026, needs more optimization.
4 803 0.950212328019 Henry Cohn, 2026, needs more optimization.
4 804 0.950238242381 Henry Cohn, 2026, needs more optimization.
4 805 0.950268892559 Henry Cohn, 2026, needs more optimization.
4 806 0.950296684259 Henry Cohn, 2026, needs more optimization.
4 807 0.950314881064 Henry Cohn, 2026, needs more optimization.
4 808 0.950365257589 Henry Cohn, 2026, needs more optimization.
4 809 0.950366653468 Henry Cohn, 2026, needs more optimization.
4 810 0.950415577311 Henry Cohn, 2026, needs more optimization.
4 811 0.950418817652 Henry Cohn, 2026, needs more optimization.
4 812 0.950466249241 Henry Cohn, 2026, needs more optimization.
4 813 0.950486914892 Henry Cohn, 2026, needs more optimization.
4 814 0.950519655735 Henry Cohn, 2026, needs more optimization.
4 815 0.950523063983 Henry Cohn, 2026, needs more optimization.
4 816 0.950548805620 Henry Cohn, 2026, needs more optimization.
4 817 0.950562849001 Henry Cohn, 2026, needs more optimization.
4 818 0.950568130414 Henry Cohn, 2026, needs more optimization.
4 819 0.950571407658 Henry Cohn, 2026, needs more optimization.
4 820 0.950601350155 Henry Cohn, 2026, needs more optimization.
4 821 0.950614036317 Henry Cohn, 2026, needs more optimization.
4 822 0.950616628918 Henry Cohn, 2026, needs more optimization.
4 823 0.950618555332 Henry Cohn, 2026, needs more optimization.
4 824 0.950783934680 Henry Cohn, 2026, needs more optimization.
4 825 0.950784724825 Henry Cohn, 2026, needs more optimization.
4 826 0.950785335915 Henry Cohn, 2026, needs more optimization.
4 827 0.950786427850 Henry Cohn, 2026, needs more optimization.
4 828 0.950786748721 Henry Cohn, 2026, needs more optimization.
4 829 0.950787929961 Henry Cohn, 2026, needs more optimization.
4 830 0.950789344821 Henry Cohn, 2026, needs more optimization.
4 831 0.950791349176 Henry Cohn, 2026, needs more optimization.
4 832 0.950792272299 Henry Cohn, 2026, needs more optimization.
4 833 0.950792975867 Henry Cohn, 2026, needs more optimization.
4 834 0.950794420314 Henry Cohn, 2026, needs more optimization.
4 835 0.950795151420 Henry Cohn, 2026, needs more optimization.
4 836 0.950795845258 Henry Cohn, 2026, needs more optimization.
4 837 0.950796806941 Henry Cohn, 2026, needs more optimization.
4 838 0.950797484839 Henry Cohn, 2026, needs more optimization.
4 840 0.950797547280 Henry Cohn, 2025, needs more optimization.
4 841 0.950956146303 Henry Cohn, 2026, needs more optimization.
4 842 0.951052560419 Henry Cohn, 2026, needs more optimization.
4 843 0.951118791847 Henry Cohn, 2026, needs more optimization.
4 844 0.951236428484 Henry Cohn, 2026, needs more optimization.
4 845 0.951288206440 Henry Cohn, 2026, needs more optimization.
4 846 0.951405059462 Henry Cohn, 2026, needs more optimization.
4 847 0.951468150157 Henry Cohn, 2026, needs more optimization.
4 848 0.951552656185 Henry Cohn, 2026, needs more optimization.
4 849 0.951613627302 Henry Cohn, 2026, needs more optimization.
4 850 0.951689883605 Henry Cohn, 2026, needs more optimization.
4 851 0.951797971281 Henry Cohn, 2026, needs more optimization.
4 852 0.951836888631 Henry Cohn, 2026, needs more optimization.
4 853 0.951908452229 Henry Cohn, 2026, needs more optimization.
4 854 0.951987499730 Henry Cohn, 2026, needs more optimization.
4 855 0.952037186900 Henry Cohn, 2026, needs more optimization.
4 856 0.952135576743 Henry Cohn, 2026, needs more optimization.
4 857 0.952192140736 Henry Cohn, 2026, needs more optimization.
4 858 0.952232932315 Henry Cohn, 2026, needs more optimization.
4 859 0.952305243133 Henry Cohn, 2026, needs more optimization.
4 860 0.952374666498 Henry Cohn, 2026, needs more optimization.
4 861 0.952476398347 Henry Cohn, 2026, needs more optimization.
4 862 0.952489432231 Henry Cohn, 2026, needs more optimization.
4 863 0.952570765621 Henry Cohn, 2026, needs more optimization.
4 864 0.952617205055 Henry Cohn, 2026, needs more optimization.
4 865 0.952690829773 Henry Cohn, 2026, needs more optimization.
4 866 0.952773391885 Henry Cohn, 2026, needs more optimization.
4 867 0.952837534320 Henry Cohn, 2026, needs more optimization.
4 868 0.952844252253 Henry Cohn, 2026, needs more optimization.
4 869 0.952845417572 Henry Cohn, 2026, needs more optimization.
4 870 0.952849323150 Henry Cohn, 2026, needs more optimization.
4 871 0.952872597963 Henry Cohn, 2026, needs more optimization.
4 872 0.952918038590 Henry Cohn, 2026, needs more optimization.
4 873 0.952951246239 Henry Cohn, 2026, needs more optimization.
4 874 0.952962658429 Henry Cohn, 2026, needs more optimization.
4 875 0.953000923190 Henry Cohn, 2026, needs more optimization.
4 876 0.953014400344 Henry Cohn, 2026, needs more optimization.
4 877 0.953069681251 Henry Cohn, 2026, needs more optimization.
4 878 0.953113188648 Henry Cohn, 2026, needs more optimization.
4 879 0.953154928944 Henry Cohn, 2026, needs more optimization.
4 880 0.953173048022 Henry Cohn, 2026, needs more optimization.
4 881 0.953219067870 Henry Cohn, 2026, needs more optimization.
4 882 0.953262258040 Henry Cohn, 2026, needs more optimization.
4 883 0.953292629068 Henry Cohn, 2026, needs more optimization.
4 884 0.953302175581 Henry Cohn, 2026, needs more optimization.
4 885 0.953337474767 Henry Cohn, 2026, needs more optimization.
4 886 0.953394670585 Henry Cohn, 2026, needs more optimization.
4 887 0.953417390355 Henry Cohn, 2026, needs more optimization.
4 888 0.953422369079 Henry Cohn, 2026, needs more optimization.
4 889 0.953473213442 Henry Cohn, 2026, needs more optimization.
4 890 0.953542434571 Henry Cohn, 2026, needs more optimization.
4 891 0.953577549271 Henry Cohn, 2026, needs more optimization.
4 892 0.953594337404 Henry Cohn, 2026, needs more optimization.
4 893 0.953665395584 Henry Cohn, 2026, needs more optimization.
4 894 0.953678960786 Henry Cohn, 2026, needs more optimization.
4 895 0.953697282440 Henry Cohn, 2026, needs more optimization.
4 896 0.953697796841 Henry Cohn, 2026, needs more optimization.
4 897 0.953714981767 Henry Cohn, 2026, needs more optimization.
4 898 0.953776254319 Henry Cohn, 2026, needs more optimization.
4 899 0.953783824531 Henry Cohn, 2026, needs more optimization.
4 900 0.953840222399 Henry Cohn, 2026, needs more optimization.
4 901 0.953856103581 Henry Cohn, 2026, needs more optimization.
4 902 0.953893372164 Henry Cohn, 2026, needs more optimization.
4 903 0.953932601936 Henry Cohn, 2026, needs more optimization.
4 904 0.953972794820 Henry Cohn, 2026, needs more optimization.
4 905 0.954047520754 Henry Cohn, 2026, needs more optimization.
4 906 0.954083925918 Henry Cohn, 2026, needs more optimization.
4 907 0.954117108825 Henry Cohn, 2026, needs more optimization.
4 908 0.954119662324 Henry Cohn, 2026, needs more optimization.
4 909 0.954120656893 Henry Cohn, 2026, needs more optimization.
4 910 0.954140244000 Henry Cohn, 2026, needs more optimization.
4 911 0.954148628073 Henry Cohn, 2026, needs more optimization.
4 912 0.954157582658 Henry Cohn, 2026, needs more optimization.
4 913 0.954158310272 Henry Cohn, 2026, needs more optimization.
4 914 0.954189792209 Henry Cohn, 2026, needs more optimization.
4 915 0.954211962848 Henry Cohn, 2026, needs more optimization.
4 916 0.954241736377 Henry Cohn, 2026, needs more optimization.
4 917 0.954300224650 Henry Cohn, 2026, needs more optimization.
4 918 0.954336389413 Henry Cohn, 2026, needs more optimization.
4 919 0.954387379685 Henry Cohn, 2026, needs more optimization.
4 920 0.954437669218 Henry Cohn, 2026, needs more optimization.
4 921 0.954439997491 Henry Cohn, 2026, needs more optimization.
4 922 0.954485868008 Henry Cohn, 2026, needs more optimization.
4 923 0.954546767661 Henry Cohn, 2026, needs more optimization.
4 924 0.954586948005 Henry Cohn, 2026, needs more optimization.
4 925 0.954613008472 Henry Cohn, 2026, needs more optimization.
4 926 0.954616280675 Henry Cohn, 2026, needs more optimization.
4 927 0.954675695463 Henry Cohn, 2026, needs more optimization.
4 928 0.954733978523 Henry Cohn, 2026, needs more optimization.
4 929 0.954785370554 Henry Cohn, 2026, needs more optimization.
4 930 0.954827577597 Henry Cohn, 2026, needs more optimization.
4 931 0.954893462799 Henry Cohn, 2026, needs more optimization.
4 932 0.954920912565 Henry Cohn, 2026, needs more optimization.
4 933 0.955008915094 Henry Cohn, 2026, needs more optimization.
4 934 0.955010920746 Henry Cohn, 2026, needs more optimization.
4 935 0.955019364676 Henry Cohn, 2026, needs more optimization.
4 936 0.955079209874 Henry Cohn, 2026, needs more optimization.
4 937 0.955098841134 Henry Cohn, 2026, needs more optimization.
4 938 0.955132336193 Henry Cohn, 2026, needs more optimization.
4 939 0.955146078568 Henry Cohn, 2026, needs more optimization.
4 940 0.955164905469 Henry Cohn, 2026, needs more optimization.
4 941 0.955208920628 Henry Cohn, 2026, needs more optimization.
4 942 0.955248357129 Henry Cohn, 2026, needs more optimization.
4 943 0.955276092100 Henry Cohn, 2026, needs more optimization.
4 944 0.955321717354 Henry Cohn, 2026, needs more optimization.
4 945 0.955349393979 Henry Cohn, 2026, needs more optimization.
4 946 0.955390877607 Henry Cohn, 2026, needs more optimization.
4 947 0.955396733881 Henry Cohn, 2026, needs more optimization.
4 948 0.955464193484 Henry Cohn, 2026, needs more optimization.
4 949 0.955496077262 Henry Cohn, 2026, needs more optimization.
4 950 0.955552852318 Henry Cohn, 2026, needs more optimization.
4 951 0.955553890134 Henry Cohn, 2026, needs more optimization.
4 952 0.955557933337 Henry Cohn, 2026, needs more optimization.
4 954 0.955580760062 Henry Cohn, 2026, needs more optimization.
4 955 0.955606016170 Henry Cohn, 2026, needs more optimization.
4 957 0.955657512641 Henry Cohn, 2026, needs more optimization.
4 958 0.955690872778 Henry Cohn, 2026, needs more optimization.
4 959 0.955736925671 Henry Cohn, 2026, needs more optimization.
4 960 0.955798751985 Henry Cohn, 2026, needs more optimization.
4 961 0.955903467439 Henry Cohn, 2026, needs more optimization.
4 962 0.955916255972 Henry Cohn, 2026, needs more optimization.
4 963 0.955922212184 Henry Cohn, 2026, needs more optimization.
4 964 0.956031465135 Henry Cohn, 2026, needs more optimization.
4 965 0.956050072439 Henry Cohn, 2026, needs more optimization.
4 966 0.956072918165 Henry Cohn, 2026, needs more optimization.
4 967 0.956079350531 Henry Cohn, 2026, needs more optimization.
4 968 0.956089444798 Henry Cohn, 2026, needs more optimization.
4 969 0.956105997595 Henry Cohn, 2026, needs more optimization.
4 970 0.956121334872 Henry Cohn, 2026, needs more optimization.
4 971 0.956128262628 Henry Cohn, 2026, needs more optimization.
4 972 0.956150179116 Henry Cohn, 2026, needs more optimization.
4 973 0.956164610318 Henry Cohn, 2026, needs more optimization.
4 974 0.956173518320 Henry Cohn, 2026, needs more optimization.
4 975 0.956188948194 Henry Cohn, 2026, needs more optimization.
4 976 0.956227855628 Henry Cohn, 2026, needs more optimization.
4 977 0.956299488123 Henry Cohn, 2026, needs more optimization.
4 978 0.956307080029 Henry Cohn, 2026, needs more optimization.
4 979 0.956336462058 Henry Cohn, 2026, needs more optimization.
4 980 0.956380359608 Henry Cohn, 2026, needs more optimization.
4 981 0.956481412139 Henry Cohn, 2026, needs more optimization.
4 982 0.956526589654 Henry Cohn, 2026, needs more optimization.
4 983 0.956533595607 Henry Cohn, 2026, needs more optimization.
4 984 0.956639835592 Henry Cohn, 2026, needs more optimization.
4 985 0.956642272698 Henry Cohn, 2026, needs more optimization.
4 986 0.956658940009 Henry Cohn, 2026, needs more optimization.
4 987 0.956659901175 Henry Cohn, 2026, needs more optimization.
4 988 0.956665173429 Henry Cohn, 2026, needs more optimization.
4 989 0.956719086524 Henry Cohn, 2026, needs more optimization.
4 990 0.956775695654 Henry Cohn, 2026, needs more optimization.
4 991 0.956834185447 Henry Cohn, 2026, needs more optimization.
4 992 0.956878740578 Henry Cohn, 2026, needs more optimization.
4 993 0.956950532329 Henry Cohn, 2026, needs more optimization.
4 994 0.956981559803 Henry Cohn, 2026, needs more optimization.
4 995 0.957035125755 Henry Cohn, 2026, needs more optimization.
4 996 0.957060529902 Henry Cohn, 2026, needs more optimization.
4 997 0.957126741702 Henry Cohn, 2026, needs more optimization.
4 998 0.957148948593 Henry Cohn, 2026, needs more optimization.
4 999 0.957196616107 Henry Cohn, 2026, needs more optimization.
4 1000 0.957243012733 Henry Cohn, 2026, needs more optimization.
4 1001 0.957260788652 Henry Cohn, 2026, needs more optimization.
4 1002 0.957294513385 Henry Cohn, 2026, needs more optimization.
4 1003 0.957339222521 Henry Cohn, 2026, needs more optimization.
4 1004 0.957357974219 Henry Cohn, 2026, needs more optimization.
4 1005 0.957376670392 Henry Cohn, 2026, needs more optimization.
4 1006 0.957379904339 Henry Cohn, 2026, needs more optimization.
4 1007 0.957396298835 Henry Cohn, 2026, needs more optimization.
4 1008 0.957446793181 Henry Cohn, 2026, needs more optimization.
4 1009 0.957468491592 Henry Cohn, 2026, needs more optimization.
4 1010 0.957492312325 Henry Cohn, 2026, needs more optimization.
4 1011 0.957502561938 Henry Cohn, 2026, needs more optimization.
4 1012 0.957542995177 Henry Cohn, 2026, needs more optimization.
4 1013 0.957582210628 Henry Cohn, 2026, needs more optimization.
4 1014 0.957609651500 Henry Cohn, 2026, needs more optimization.
4 1015 0.957636442946 Henry Cohn, 2026, needs more optimization.
4 1016 0.957664192089 Henry Cohn, 2026, needs more optimization.
4 1017 0.957674370436 Henry Cohn, 2026, needs more optimization.
4 1018 0.957718452932 Henry Cohn, 2026, needs more optimization.
4 1019 0.957741275288 Henry Cohn, 2026, needs more optimization.
4 1020 0.957757047628 Henry Cohn, 2026, needs more optimization.
4 1021 0.957782901579 Henry Cohn, 2026, needs more optimization.
4 1022 0.957788150589 Henry Cohn, 2026, needs more optimization.
4 1023 0.957844308974 Henry Cohn, 2026, needs more optimization.
4 1024 0.957888738440 Henry Cohn, 2026, needs more optimization.
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 0.514994652513 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
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 0.640236043820 Henry Cohn, 2025.
5 79 0.643657523051 Henry Cohn, 2025.
5 80 0.646960184204 Henry Cohn, 2025.
5 81 0.648893901838 Henry Cohn, 2025.
5 82 0.651451517528 Henry Cohn, 2025.
5 83 0.655404165086 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 84 0.657612544747 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
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 0.664476994912 Henry Cohn, 2025.
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 0.672086633602 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 93 0.673631229212 Henry Cohn, 2026.
5 94 0.674852218199 Henry Cohn, 2026.
5 95 0.676048898306 Henry Cohn, 2026.
5 96 0.677473018556 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 97 0.679241845577 Henry Cohn, 2025.
5 98 0.680270697922 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 99 0.681881045310 Henry Cohn, 2025.
5 100 0.683153263764 Henry Cohn, 2025.
5 101 0.685186090412 Henry Cohn, 2025.
5 102 0.687443384073 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 103 0.688903541719 Henry Cohn, 2025.
5 104 0.689715870633 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 105 0.690713474104 Henry Cohn, 2025.
5 106 0.692005491905 Henry Cohn, 2025.
5 107 0.693863512900 Henry Cohn, 2025.
5 108 0.695352226010 Henry Cohn, 2025.
5 109 0.696434500115 Henry Cohn, 2025.
5 110 0.698102767792 Henry Cohn, 2025.
5 111 0.699314990430 Henry Cohn, 2025.
5 112 0.700443897808 Henry Cohn, 2025.
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 0.703016293967 Henry Cohn, 2025.
5 115 0.704057149283 Henry Cohn, 2025.
5 116 0.705292505873 Henry Cohn, 2025.
5 117 0.706879377909 Henry Cohn, 2025.
5 118 0.708028481260 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 119 0.709336098101 Henry Cohn, 2025.
5 120 0.710406057156 Henry Cohn, 2025.
5 121 0.711530217808 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
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 0.716344500109 Henry Cohn, 2026.
5 126 0.717125378112 Henry Cohn, 2025.
5 127 0.718593652896 Henry Cohn, 2025.
5 128 0.719621301444 Henry Cohn, 2025.
5 129 0.720947646950 Henry Cohn, 2025.
5 130 0.721711816020 Henry Cohn, 2025.
5 131 0.723208608895 Henry Cohn, 2025.
5 132 0.724187141008 Henry Cohn, 2026, needs more optimization.
5 133 0.725083698451 Henry Cohn, 2026, needs more optimization.
5 134 0.726667479555 Henry Cohn, 2026, needs more optimization.
5 135 0.727819930944 Henry Cohn, 2025.
5 136 0.728641959070 Henry Cohn, 2026.
5 137 0.730011100633 Henry Cohn, 2025.
5 138 0.730143082796 Henry Cohn, 2025.
5 139 0.731003426111 Henry Cohn, 2026, needs more optimization.
5 140 0.731880138963 Henry Cohn, 2025.
5 141 0.732919531703 Henry Cohn, 2026, needs more optimization.
5 142 0.733688627543 Henry Cohn, 2025.
5 143 0.734506087652 Henry Cohn, 2025.
5 144 0.735189318066 Henry Cohn, 2025.
5 145 0.736519094966 Henry Cohn, 2025.
5 146 0.736648368146 Henry Cohn, 2025.
5 147 0.736967148066 Henry Cohn, 2025.
5 148 0.737200174837 Henry Cohn, 2025.
5 149 0.737884019958 Henry Cohn, 2025.
5 150 0.738295981996 Henry Cohn, 2025.
5 151 0.739520414049 Henry Cohn, 2026, needs more optimization.
5 152 0.739824519106 Henry Cohn, 2025.
5 153 0.740779971316 Henry Cohn, 2025.
5 154 0.741354012157 Henry Cohn, 2025.
5 155 0.742161234709 Henry Cohn, 2025.
5 156 0.742808811623 Henry Cohn, 2025.
5 157 0.743339290160 Henry Cohn, 2025.
5 158 0.743483872288 Henry Cohn, 2026, needs more optimization.
5 159 0.743825044322 Henry Cohn, 2025.
5 160 0.744143092099 Henry Cohn, 2025.
5 161 0.747768123526 Henry Cohn, 2025.
5 162 0.748843925322 Henry Cohn, 2025.
5 163 0.750218552457 Henry Cohn, 2025.
5 164 0.750876806783 Henry Cohn, 2025.
5 165 0.752079878060 Henry Cohn, 2025.
5 166 0.752534073395 Henry Cohn, 2025.
5 167 0.753532673949 Henry Cohn, 2025.
5 168 0.754218675211 Henry Cohn, 2025.
5 169 0.755416175364 Henry Cohn, 2025.
5 170 0.755993792807 Henry Cohn, 2025.
5 171 0.756800051039 Henry Cohn, 2025.
5 172 0.757288355849 Henry Cohn, 2025.
5 173 0.758595500162 Henry Cohn, 2026, needs more optimization.
5 174 0.759690412033 Henry Cohn, 2025.
5 175 0.760597483271 Henry Cohn, 2025.
5 176 0.761278064091 Henry Cohn, 2025.
5 177 0.762581480012 Henry Cohn, 2026, needs more optimization.
5 178 0.763315108223 Henry Cohn, 2025.
5 179 0.763495418827 Henry Cohn, 2026, needs more optimization.
5 180 0.763782659007 Henry Cohn, 2026, needs more optimization.
5 181 0.764591764617 Henry Cohn, 2026, needs more optimization.
5 182 0.765129436226 Henry Cohn, 2026, needs more optimization.
5 183 0.765582256268 Henry Cohn, 2026, needs more optimization.
5 184 0.766275431167 Henry Cohn, 2026, needs more optimization.
5 185 0.766837165728 Henry Cohn, 2026, needs more optimization.
5 186 0.767264937530 Henry Cohn, 2026, needs more optimization.
5 187 0.767582526057 Henry Cohn, 2026, needs more optimization.
5 188 0.768343222318 Henry Cohn, 2026, needs more optimization.
5 189 0.768905500750 Henry Cohn, 2026, needs more optimization.
5 190 0.769546811048 Henry Cohn, 2026, needs more optimization.
5 191 0.770386212090 Henry Cohn, 2026, needs more optimization.
5 192 0.771106184963 Henry Cohn, 2026, needs more optimization.
5 193 0.771228652363 Henry Cohn, 2026, needs more optimization.
5 194 0.772357310102 Henry Cohn, 2025.
5 195 0.772914025091 Henry Cohn, 2025.
5 196 0.773688919192 Henry Cohn, 2026, needs more optimization.
5 197 0.774037644805 Henry Cohn, 2026, needs more optimization.
5 198 0.774735765147 Henry Cohn, 2026, needs more optimization.
5 199 0.775242540360 Henry Cohn, 2025.
5 200 0.775814258853 Henry Cohn, 2025.
5 201 0.776373874099 Henry Cohn, 2026, needs more optimization.
5 202 0.776940543933 Henry Cohn, 2026, needs more optimization.
5 203 0.777755218102 Henry Cohn, 2026, needs more optimization.
5 204 0.778262339953 Henry Cohn, 2025.
5 205 0.779048071982 Henry Cohn, 2025.
5 206 0.779280532790 Henry Cohn, 2026, needs more optimization.
5 207 0.779745219438 Henry Cohn, 2026, needs more optimization.
5 208 0.780476227759 Henry Cohn, 2026, needs more optimization.
5 209 0.780858538099 Henry Cohn, 2026, needs more optimization.
5 210 0.781757868329 Henry Cohn, 2026, needs more optimization.
5 211 0.782014887385 Henry Cohn, 2026, needs more optimization.
5 212 0.782682152515 Henry Cohn, 2026, needs more optimization.
5 213 0.783136054900 Henry Cohn, 2026, needs more optimization.
5 214 0.783537736858 Henry Cohn, 2026, needs more optimization.
5 215 0.784179806734 Henry Cohn, 2026, needs more optimization.
5 216 0.784525696695 Henry Cohn, 2026, needs more optimization.
5 217 0.785213243284 Henry Cohn, 2026, needs more optimization.
5 218 0.785867980337 Henry Cohn, 2026, needs more optimization.
5 219 0.786085886161 Henry Cohn, 2026, needs more optimization.
5 220 0.786731038506 Henry Cohn, 2026, needs more optimization.
5 221 0.787386461112 Henry Cohn, 2026, needs more optimization.
5 222 0.787795391675 Henry Cohn, 2026, needs more optimization.
5 223 0.788207888147 Henry Cohn, 2026, needs more optimization.
5 224 0.788866206268 Henry Cohn, 2025.
5 225 0.789325624436 Henry Cohn, 2025.
5 226 0.789486714086 Henry Cohn, 2026, needs more optimization.
5 227 0.789764236278 Henry Cohn, 2026, needs more optimization.
5 228 0.790364928477 Henry Cohn, 2026, needs more optimization.
5 229 0.790652907512 Henry Cohn, 2026, needs more optimization.
5 230 0.791067132490 Henry Cohn, 2026, needs more optimization.
5 231 0.791480810352 Henry Cohn, 2026, needs more optimization.
5 232 0.792366042514 Henry Cohn, 2026, needs more optimization.
5 233 0.792634126489 Henry Cohn, 2026, needs more optimization.
5 234 0.792916677107 Henry Cohn, 2026, needs more optimization.
5 235 0.793372282794 Henry Cohn, 2026, needs more optimization.
5 236 0.793997899100 Henry Cohn, 2026, needs more optimization.
5 237 0.794422977065 Henry Cohn, 2026, needs more optimization.
5 238 0.795014640201 Henry Cohn, 2025.
5 239 0.795425406950 Henry Cohn, 2025.
5 240 0.795938099707 Henry Cohn, 2025.
5 241 0.796065311911 Henry Cohn, 2025.
5 242 0.796361750485 Henry Cohn, 2026, needs more optimization.
5 243 0.796601631746 Henry Cohn, 2026, needs more optimization.
5 244 0.796935205654 Henry Cohn, 2026, needs more optimization.
5 245 0.797264978382 Henry Cohn, 2026, needs more optimization.
5 246 0.797740685154 Henry Cohn, 2026, needs more optimization.
5 247 0.797961077656 Henry Cohn, 2026, needs more optimization.
5 248 0.798549031464 Henry Cohn, 2026, needs more optimization.
5 249 0.798774889919 Henry Cohn, 2026, needs more optimization.
5 250 0.798942782958 Henry Cohn, 2026, needs more optimization.
5 251 0.799363123529 Henry Cohn, 2026, needs more optimization.
5 252 0.799655749447 Henry Cohn, 2026, needs more optimization.
5 253 0.800146780510 Henry Cohn, 2026, needs more optimization.
5 254 0.800361568288 Henry Cohn, 2026, needs more optimization.
5 255 0.800623403172 Henry Cohn, 2026, needs more optimization.
5 256 0.801106425748 Henry Cohn, 2026, needs more optimization.
5 257 0.801509230330 Henry Cohn, 2026, needs more optimization.
5 258 0.801975892626 Henry Cohn, 2026, needs more optimization.
5 259 0.802392535562 Henry Cohn, 2026, needs more optimization.
5 260 0.802825171221 Henry Cohn, 2026, needs more optimization.
5 261 0.803199820448 Henry Cohn, 2026, needs more optimization.
5 262 0.803528360555 Henry Cohn, 2026, needs more optimization.
5 263 0.803880218189 Henry Cohn, 2026, needs more optimization.
5 264 0.804083273175 Henry Cohn, 2026, needs more optimization.
5 265 0.804461886456 Henry Cohn, 2026, needs more optimization.
5 266 0.804570279482 Henry Cohn, 2026, needs more optimization.
5 267 0.804872981708 Henry Cohn, 2026, needs more optimization.
5 268 0.805063737635 Henry Cohn, 2026, needs more optimization.
5 269 0.805323888072 Henry Cohn, 2026, needs more optimization.
5 270 0.805497300842 Henry Cohn, 2026, needs more optimization.
5 271 0.805737917216 Henry Cohn, 2026, needs more optimization.
5 272 0.806010361880 Henry Cohn, 2026, needs more optimization.
5 273 0.806034512345 Henry Cohn, 2026, needs more optimization.
5 274 0.806116402465 Henry Cohn, 2026, needs more optimization.
5 275 0.806247503704 Henry Cohn, 2026, needs more optimization.
5 276 0.806327577460 Henry Cohn, 2026, needs more optimization.
5 277 0.806496998715 Henry Cohn, 2026, needs more optimization.
5 278 0.806697934206 Henry Cohn, 2026, needs more optimization.
5 279 0.806779438015 Henry Cohn, 2026, needs more optimization.
5 280 0.807055740915 Henry Cohn, 2026, needs more optimization.
5 281 0.807116874392 Henry Cohn, 2026, needs more optimization.
5 282 0.807160198958 Henry Cohn, 2026, needs more optimization.
5 283 0.807741817949 Henry Cohn, 2026, needs more optimization.
5 284 0.808229716262 Henry Cohn, 2026, needs more optimization.
5 285 0.808652890796 Henry Cohn, 2026, needs more optimization.
5 286 0.809185175248 Henry Cohn, 2026, needs more optimization.
5 287 0.809590216746 Henry Cohn, 2026, needs more optimization.
5 288 0.810241331587 Henry Cohn, 2026, needs more optimization.
5 289 0.810467370306 Henry Cohn, 2026, needs more optimization.
5 290 0.811081562670 Henry Cohn, 2026, needs more optimization.
5 291 0.811567081168 Henry Cohn, 2026, needs more optimization.
5 292 0.812263257390 Henry Cohn, 2026, needs more optimization.
5 293 0.812702082856 Henry Cohn, 2026, needs more optimization.
5 294 0.813139917416 Henry Cohn, 2026, needs more optimization.
5 295 0.813703326447 Henry Cohn, 2026, needs more optimization.
5 296 0.813997556738 Henry Cohn, 2026, needs more optimization.
5 297 0.814425004095 Henry Cohn, 2026, needs more optimization.
5 298 0.815068055896 Henry Cohn, 2026, needs more optimization.
5 299 0.815433700290 Henry Cohn, 2026, needs more optimization.
5 300 0.815847945049 Henry Cohn, 2026, needs more optimization.
5 301 0.816437320528 Henry Cohn, 2026, needs more optimization.
5 302 0.817000628229 Henry Cohn, 2026, needs more optimization.
5 303 0.817467399235 Henry Cohn, 2026, needs more optimization.
5 304 0.817789676700 Henry Cohn, 2026, needs more optimization.
5 305 0.818194019506 Henry Cohn, 2026, needs more optimization.
5 306 0.818530939462 Henry Cohn, 2026, needs more optimization.
5 307 0.818934851712 Henry Cohn, 2026, needs more optimization.
5 308 0.819271321405 Henry Cohn, 2026, needs more optimization.
5 309 0.819565574767 Henry Cohn, 2026, needs more optimization.
5 310 0.819762160916 Henry Cohn, 2026, needs more optimization.
5 311 0.819765325049 Henry Cohn, 2026, needs more optimization.
5 312 0.819823166619 Henry Cohn, 2026, needs more optimization.
5 313 0.819883389910 Henry Cohn, 2026, needs more optimization.
5 314 0.819885720283 Henry Cohn, 2026, needs more optimization.
5 315 0.819897032380 Henry Cohn, 2026, needs more optimization.
5 316 0.819970946510 Henry Cohn, 2026, needs more optimization.
5 317 0.820622193486 Henry Cohn, 2026, needs more optimization.
5 318 0.820662690730 Henry Cohn, 2026, needs more optimization.
5 319 0.820665408137 Henry Cohn, 2026, needs more optimization.
5 320 0.821593371165 Henry Cohn, 2026, needs more optimization.
5 321 0.822052276563 Henry Cohn, 2026, needs more optimization.
5 322 0.822652112346 Henry Cohn, 2026, needs more optimization.
5 323 0.822761450863 Henry Cohn, 2026, needs more optimization.
5 324 0.822796365603 Henry Cohn, 2026, needs more optimization.
5 325 0.822864268325 Henry Cohn, 2026, needs more optimization.
5 326 0.823013210032 Henry Cohn, 2026, needs more optimization.
5 327 0.823304372171 Henry Cohn, 2026, needs more optimization.
5 328 0.823346902844 Henry Cohn, 2026, needs more optimization.
5 329 0.823611941518 Henry Cohn, 2026, needs more optimization.
5 330 0.823733043990 Henry Cohn, 2026, needs more optimization.
5 331 0.824017766067 Henry Cohn, 2026, needs more optimization.
5 332 0.824259695571 Henry Cohn, 2026, needs more optimization.
5 333 0.824462564785 Henry Cohn, 2026, needs more optimization.
5 334 0.824993328158 Henry Cohn, 2026, needs more optimization.
5 335 0.825223865157 Henry Cohn, 2026, needs more optimization.
5 336 0.825255109969 Henry Cohn, 2026, needs more optimization.
5 337 0.825621525929 Henry Cohn, 2026, needs more optimization.
5 338 0.826051113455 Henry Cohn, 2026, needs more optimization.
5 339 0.826186184812 Henry Cohn, 2026, needs more optimization.
5 340 0.826638484322 Henry Cohn, 2026, needs more optimization.
5 341 0.827020740662 Henry Cohn, 2026, needs more optimization.
5 342 0.827285711958 Henry Cohn, 2026, needs more optimization.
5 343 0.827472246467 Henry Cohn, 2026, needs more optimization.
5 344 0.827732460247 Henry Cohn, 2026, needs more optimization.
5 345 0.828319690442 Henry Cohn, 2026, needs more optimization.
5 346 0.828805313257 Henry Cohn, 2026, needs more optimization.
5 347 0.828858128412 Henry Cohn, 2026, needs more optimization.
5 348 0.829151036473 Henry Cohn, 2026, needs more optimization.
5 349 0.829298608523 Henry Cohn, 2026, needs more optimization.
5 350 0.829482410969 Henry Cohn, 2026, needs more optimization.
5 351 0.829588107867 Henry Cohn, 2026, needs more optimization.
5 352 0.830094636937 Henry Cohn, 2026, needs more optimization.
5 353 0.830243211785 Henry Cohn, 2026, needs more optimization.
5 354 0.830490776879 Henry Cohn, 2026, needs more optimization.
5 355 0.830856239831 Henry Cohn, 2026, needs more optimization.
5 356 0.831105528283 Henry Cohn, 2026, needs more optimization.
5 357 0.831441814495 Henry Cohn, 2026, needs more optimization.
5 358 0.831857902870 Henry Cohn, 2026, needs more optimization.
5 359 0.831980450411 Henry Cohn, 2026, needs more optimization.
5 360 0.832256362069 Henry Cohn, 2026, needs more optimization.
5 361 0.834129813794 Henry Cohn, 2026, needs more optimization.
5 362 0.834212281003 Henry Cohn, 2026, needs more optimization.
5 363 0.834582331467 Henry Cohn, 2026, needs more optimization.
5 364 0.834668765981 Henry Cohn, 2026, needs more optimization.
5 365 0.834922300322 Henry Cohn, 2026, needs more optimization.
5 366 0.835122883330 Henry Cohn, 2026, needs more optimization.
5 367 0.835358366829 Henry Cohn, 2026, needs more optimization.
5 368 0.835668471709 Henry Cohn, 2026, needs more optimization.
5 369 0.835717295013 Henry Cohn, 2026, needs more optimization.
5 370 0.836062270193 Henry Cohn, 2026, needs more optimization.
5 371 0.836246817781 Henry Cohn, 2026, needs more optimization.
5 372 0.836544041225 Henry Cohn, 2026, needs more optimization.
5 373 0.836616625714 Henry Cohn, 2026, needs more optimization.
5 374 0.836787784582 Henry Cohn, 2026, needs more optimization.
5 375 0.837043509742 Henry Cohn, 2026, needs more optimization.
5 376 0.837262919009 Henry Cohn, 2026, needs more optimization.
5 377 0.837541154465 Henry Cohn, 2026, needs more optimization.
5 378 0.837904705007 Henry Cohn, 2026, needs more optimization.
5 379 0.837961784191 Henry Cohn, 2026, needs more optimization.
5 380 0.838228077463 Henry Cohn, 2026, needs more optimization.
5 381 0.838342924616 Henry Cohn, 2026, needs more optimization.
5 382 0.838645396517 Henry Cohn, 2026, needs more optimization.
5 383 0.838821732402 Henry Cohn, 2026, needs more optimization.
5 384 0.839117564293 Henry Cohn, 2026, needs more optimization.
5 385 0.839334057440 Henry Cohn, 2026, needs more optimization.
5 386 0.839509322984 Henry Cohn, 2026, needs more optimization.
5 387 0.839745689593 Henry Cohn, 2026, needs more optimization.
5 388 0.839882930040 Henry Cohn, 2026, needs more optimization.
5 389 0.840101752986 Henry Cohn, 2026, needs more optimization.
5 390 0.840426461378 Henry Cohn, 2026, needs more optimization.
5 391 0.840656205203 Henry Cohn, 2026, needs more optimization.
5 392 0.840781847416 Henry Cohn, 2026, needs more optimization.
5 393 0.841201489177 Henry Cohn, 2026, needs more optimization.
5 394 0.841350743656 Henry Cohn, 2026, needs more optimization.
5 395 0.841429939232 Henry Cohn, 2026, needs more optimization.
5 396 0.841691526378 Henry Cohn, 2026, needs more optimization.
5 397 0.841814485587 Henry Cohn, 2026, needs more optimization.
5 398 0.841989765713 Henry Cohn, 2026, needs more optimization.
5 399 0.842173246826 Henry Cohn, 2026, needs more optimization.
5 400 0.842493631043 Henry Cohn, 2026, needs more optimization.
5 401 0.842721909876 Henry Cohn, 2026, needs more optimization.
5 402 0.842873027746 Henry Cohn, 2026, needs more optimization.
5 403 0.842957460426 Henry Cohn, 2026, needs more optimization.
5 404 0.843113977368 Henry Cohn, 2026, needs more optimization.
5 405 0.843321612927 Henry Cohn, 2026, needs more optimization.
5 406 0.843603349268 Henry Cohn, 2026, needs more optimization.
5 407 0.843761333647 Henry Cohn, 2026, needs more optimization.
5 408 0.843898316068 Henry Cohn, 2026, needs more optimization.
5 409 0.843944130211 Henry Cohn, 2026, needs more optimization.
5 410 0.844108414186 Henry Cohn, 2026, needs more optimization.
5 411 0.844384331611 Henry Cohn, 2026, needs more optimization.
5 412 0.844529282281 Henry Cohn, 2026, needs more optimization.
5 413 0.844817638093 Henry Cohn, 2026, needs more optimization.
5 414 0.844821137043 Henry Cohn, 2026, needs more optimization.
5 415 0.845182366390 Henry Cohn, 2026, needs more optimization.
5 416 0.845414973828 Henry Cohn, 2026, needs more optimization.
5 417 0.845502747723 Henry Cohn, 2026, needs more optimization.
5 418 0.845715980682 Henry Cohn, 2026, needs more optimization.
5 419 0.845790025689 Henry Cohn, 2026, needs more optimization.
5 420 0.845954126611 Henry Cohn, 2026, needs more optimization.
5 421 0.846096023767 Henry Cohn, 2026, needs more optimization.
5 422 0.846420085922 Henry Cohn, 2026, needs more optimization.
5 423 0.846469144629 Henry Cohn, 2026, needs more optimization.
5 424 0.846756884376 Henry Cohn, 2026, needs more optimization.
5 425 0.846977359873 Henry Cohn, 2026, needs more optimization.
5 426 0.847133709419 Henry Cohn, 2026, needs more optimization.
5 427 0.847333429059 Henry Cohn, 2026, needs more optimization.
5 428 0.847527906737 Henry Cohn, 2026, needs more optimization.
5 429 0.847673012149 Henry Cohn, 2026, needs more optimization.
5 430 0.847928380292 Henry Cohn, 2026, needs more optimization.
5 431 0.848159385503 Henry Cohn, 2026, needs more optimization.
5 432 0.848178706185 Henry Cohn, 2026, needs more optimization.
5 433 0.848465714156 Henry Cohn, 2026, needs more optimization.
5 434 0.848705176274 Henry Cohn, 2026, needs more optimization.
5 435 0.848869520600 Henry Cohn, 2026, needs more optimization.
5 436 0.848992885533 Henry Cohn, 2026, needs more optimization.
5 437 0.849134030759 Henry Cohn, 2026, needs more optimization.
5 438 0.849416296965 Henry Cohn, 2026, needs more optimization.
5 439 0.849635328359 Henry Cohn, 2026, needs more optimization.
5 440 0.849699193935 Henry Cohn, 2026, needs more optimization.
5 441 0.849893636496 Henry Cohn, 2026, needs more optimization.
5 442 0.849985068635 Henry Cohn, 2026, needs more optimization.
5 443 0.850144466498 Henry Cohn, 2026, needs more optimization.
5 444 0.850498000976 Henry Cohn, 2026, needs more optimization.
5 445 0.850633638223 Henry Cohn, 2026, needs more optimization.
5 446 0.850843079495 Henry Cohn, 2026, needs more optimization.
5 447 0.850997327207 Henry Cohn, 2026, needs more optimization.
5 448 0.851072899967 Henry Cohn, 2026, needs more optimization.
5 449 0.851136651819 Henry Cohn, 2026, needs more optimization.
5 450 0.851508215975 Henry Cohn, 2026, needs more optimization.
5 451 0.851708528915 Henry Cohn, 2026, needs more optimization.
5 452 0.851797633124 Henry Cohn, 2026, needs more optimization.
5 453 0.851809193234 Henry Cohn, 2026, needs more optimization.
5 454 0.852030007162 Henry Cohn, 2026, needs more optimization.
5 455 0.852309519071 Henry Cohn, 2026, needs more optimization.
5 456 0.852375990213 Henry Cohn, 2026, needs more optimization.
5 457 0.852582233841 Henry Cohn, 2026, needs more optimization.
5 458 0.852747680189 Henry Cohn, 2026, needs more optimization.
5 459 0.852813828363 Henry Cohn, 2026, needs more optimization.
5 460 0.853046772468 Henry Cohn, 2026, needs more optimization.
5 461 0.853250809848 Henry Cohn, 2026, needs more optimization.
5 462 0.853452295904 Henry Cohn, 2026, needs more optimization.
5 463 0.853566963040 Henry Cohn, 2026, needs more optimization.
5 464 0.853633600545 Henry Cohn, 2026, needs more optimization.
5 465 0.853853849747 Henry Cohn, 2026, needs more optimization.
5 466 0.854012809998 Henry Cohn, 2026, needs more optimization.
5 467 0.854075261248 Henry Cohn, 2026, needs more optimization.
5 468 0.854359623526 Henry Cohn, 2026, needs more optimization.
5 469 0.854473921752 Henry Cohn, 2026, needs more optimization.
5 470 0.854639237459 Henry Cohn, 2026, needs more optimization.
5 471 0.854694679346 Henry Cohn, 2026, needs more optimization.
5 472 0.854818571311 Henry Cohn, 2026, needs more optimization.
5 473 0.854970868297 Henry Cohn, 2026, needs more optimization.
5 474 0.855266845842 Henry Cohn, 2026, needs more optimization.
5 475 0.855291753790 Henry Cohn, 2026, needs more optimization.
5 476 0.855451202342 Henry Cohn, 2026, needs more optimization.
5 477 0.855636052443 Henry Cohn, 2026, needs more optimization.
5 478 0.855799132705 Henry Cohn, 2026, needs more optimization.
5 479 0.855924480305 Henry Cohn, 2026, needs more optimization.
5 480 0.856091438328 Henry Cohn, 2026, needs more optimization.
5 481 0.856277113173 Henry Cohn, 2026, needs more optimization.
5 482 0.856446309508 Henry Cohn, 2026, needs more optimization.
5 483 0.856663279341 Henry Cohn, 2026, needs more optimization.
5 484 0.856715752048 Henry Cohn, 2026, needs more optimization.
5 485 0.856722298014 Henry Cohn, 2026, needs more optimization.
5 486 0.856883838841 Henry Cohn, 2026, needs more optimization.
5 487 0.857088140908 Henry Cohn, 2026, needs more optimization.
5 488 0.857248479571 Henry Cohn, 2026, needs more optimization.
5 489 0.857360987993 Henry Cohn, 2026, needs more optimization.
5 490 0.857427636427 Henry Cohn, 2026, needs more optimization.
5 491 0.857603273818 Henry Cohn, 2026, needs more optimization.
5 492 0.857832945669 Henry Cohn, 2026, needs more optimization.
5 493 0.857880232116 Henry Cohn, 2026, needs more optimization.
5 494 0.857959108483 Henry Cohn, 2026, needs more optimization.
5 495 0.858157178586 Henry Cohn, 2026, needs more optimization.
5 496 0.858495978768 Henry Cohn, 2026, needs more optimization.
5 497 0.858636664927 Henry Cohn, 2026, needs more optimization.
5 498 0.858740196486 Henry Cohn, 2026, needs more optimization.
5 499 0.858852154630 Henry Cohn, 2026, needs more optimization.
5 500 0.859113799526 Henry Cohn, 2026, needs more optimization.
5 501 0.859270662597 Henry Cohn, 2026, needs more optimization.
5 502 0.859507577153 Henry Cohn, 2026, needs more optimization.
5 503 0.859513118738 Henry Cohn, 2026, needs more optimization.
5 504 0.859622073951 Henry Cohn, 2026, needs more optimization.
5 505 0.859743324236 Henry Cohn, 2026, needs more optimization.
5 506 0.859866486318 Henry Cohn, 2026, needs more optimization.
5 507 0.860047383677 Henry Cohn, 2026, needs more optimization.
5 508 0.860129847091 Henry Cohn, 2026, needs more optimization.
5 509 0.860292303029 Henry Cohn, 2026, needs more optimization.
5 510 0.860468127457 Henry Cohn, 2026, needs more optimization.
5 511 0.860636992724 Henry Cohn, 2026, needs more optimization.
5 512 0.860673887195 Henry Cohn, 2026, needs more optimization.
5 513 0.860737132542 Henry Cohn, 2026, needs more optimization.
5 514 0.860855593359 Henry Cohn, 2026, needs more optimization.
5 515 0.860999104461 Henry Cohn, 2026, needs more optimization.
5 516 0.861222636521 Henry Cohn, 2026, needs more optimization.
5 517 0.861327540093 Henry Cohn, 2026, needs more optimization.
5 518 0.861495534528 Henry Cohn, 2026, needs more optimization.
5 519 0.861609027556 Henry Cohn, 2026, needs more optimization.
5 520 0.861723555800 Henry Cohn, 2026, needs more optimization.
5 521 0.861738773481 Henry Cohn, 2026, needs more optimization.
5 522 0.861956007110 Henry Cohn, 2026, needs more optimization.
5 523 0.862193460001 Henry Cohn, 2026, needs more optimization.
5 524 0.862254746754 Henry Cohn, 2026, needs more optimization.
5 525 0.862461088053 Henry Cohn, 2026, needs more optimization.
5 526 0.862648862853 Henry Cohn, 2026, needs more optimization.
5 527 0.862658406435 Henry Cohn, 2026, needs more optimization.
5 528 0.862817045322 Henry Cohn, 2026, needs more optimization.
5 529 0.862969132383 Henry Cohn, 2026, needs more optimization.
5 530 0.863033080474 Henry Cohn, 2026, needs more optimization.
5 531 0.863195190317 Henry Cohn, 2026, needs more optimization.
5 532 0.863294755803 Henry Cohn, 2026, needs more optimization.
5 533 0.863511419776 Henry Cohn, 2026, needs more optimization.
5 534 0.863651427199 Henry Cohn, 2026, needs more optimization.
5 535 0.863750789118 Henry Cohn, 2026, needs more optimization.
5 536 0.863914568175 Henry Cohn, 2026, needs more optimization.
5 537 0.863993016732 Henry Cohn, 2026, needs more optimization.
5 538 0.864134189671 Henry Cohn, 2026, needs more optimization.
5 539 0.864268165882 Henry Cohn, 2026, needs more optimization.
5 540 0.864339938640 Henry Cohn, 2026, needs more optimization.
5 541 0.864607031704 Henry Cohn, 2026, needs more optimization.
5 542 0.864719980860 Henry Cohn, 2026, needs more optimization.
5 543 0.864791291825 Henry Cohn, 2026, needs more optimization.
5 544 0.864935181527 Henry Cohn, 2026, needs more optimization.
5 545 0.865014410525 Henry Cohn, 2026, needs more optimization.
5 546 0.865111003951 Henry Cohn, 2026, needs more optimization.
5 547 0.865276111880 Henry Cohn, 2026, needs more optimization.
5 548 0.865413197932 Henry Cohn, 2026, needs more optimization.
5 549 0.865492465854 Henry Cohn, 2026, needs more optimization.
5 550 0.865542416186 Henry Cohn, 2026, needs more optimization.
5 551 0.865756466432 Henry Cohn, 2026, needs more optimization.
5 552 0.865803884024 Henry Cohn, 2026, needs more optimization.
5 553 0.865974380595 Henry Cohn, 2026, needs more optimization.
5 554 0.866165848237 Henry Cohn, 2026, needs more optimization.
5 555 0.866199370507 Henry Cohn, 2026, needs more optimization.
5 556 0.866233492820 Henry Cohn, 2026, needs more optimization.
5 557 0.866440054032 Henry Cohn, 2026, needs more optimization.
5 558 0.866540333328 Henry Cohn, 2026, needs more optimization.
5 559 0.866794194606 Henry Cohn, 2026, needs more optimization.
5 560 0.867009615244 Henry Cohn, 2026, needs more optimization.
5 561 0.867027211415 Henry Cohn, 2026, needs more optimization.
5 562 0.867287407857 Henry Cohn, 2026, needs more optimization.
5 563 0.867388469755 Henry Cohn, 2026, needs more optimization.
5 564 0.867442236393 Henry Cohn, 2026, needs more optimization.
5 565 0.867443154407 Henry Cohn, 2026, needs more optimization.
5 566 0.867567454316 Henry Cohn, 2026, needs more optimization.
5 567 0.867771248061 Henry Cohn, 2026, needs more optimization.
5 568 0.867869642965 Henry Cohn, 2026, needs more optimization.
5 569 0.867958419286 Henry Cohn, 2026, needs more optimization.
5 570 0.868116149160 Henry Cohn, 2026, needs more optimization.
5 571 0.868294344345 Henry Cohn, 2026, needs more optimization.
5 572 0.868370445937 Henry Cohn, 2026, needs more optimization.
5 573 0.868451122226 Henry Cohn, 2026, needs more optimization.
5 574 0.868666845134 Henry Cohn, 2026, needs more optimization.
5 575 0.868669268156 Henry Cohn, 2026, needs more optimization.
5 576 0.868800961954 Henry Cohn, 2026, needs more optimization.
5 577 0.868901788457 Henry Cohn, 2026, needs more optimization.
5 578 0.868964233039 Henry Cohn, 2026, needs more optimization.
5 579 0.869108338870 Henry Cohn, 2026, needs more optimization.
5 580 0.869303971350 Henry Cohn, 2026, needs more optimization.
5 581 0.869444877368 Henry Cohn, 2026, needs more optimization.
5 582 0.869504363396 Henry Cohn, 2026, needs more optimization.
5 583 0.869619359592 Henry Cohn, 2026, needs more optimization.
5 584 0.869694201467 Henry Cohn, 2026, needs more optimization.
5 585 0.869883045291 Henry Cohn, 2026, needs more optimization.
5 586 0.870012482916 Henry Cohn, 2026, needs more optimization.
5 587 0.870087436018 Henry Cohn, 2026, needs more optimization.
5 588 0.870089281422 Henry Cohn, 2026, needs more optimization.
5 589 0.870174663843 Henry Cohn, 2026, needs more optimization.
5 590 0.870344390892 Henry Cohn, 2026, needs more optimization.
5 591 0.870372260281 Henry Cohn, 2026, needs more optimization.
5 592 0.870421165384 Henry Cohn, 2026, needs more optimization.
5 593 0.870576320003 Henry Cohn, 2026, needs more optimization.
5 594 0.870725765871 Henry Cohn, 2026, needs more optimization.
5 595 0.870811043242 Henry Cohn, 2026, needs more optimization.
5 596 0.870901241643 Henry Cohn, 2026, needs more optimization.
5 597 0.871008236570 Henry Cohn, 2026, needs more optimization.
5 598 0.871204759053 Henry Cohn, 2026, needs more optimization.
5 599 0.871263185819 Henry Cohn, 2026, needs more optimization.
5 600 0.871357931340 Henry Cohn, 2026, needs more optimization.
5 601 0.871564573579 Henry Cohn, 2026, needs more optimization.
5 602 0.871571009479 Henry Cohn, 2026, needs more optimization.
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5 604 0.871749626939 Henry Cohn, 2026, needs more optimization.
5 605 0.871760432272 Henry Cohn, 2026, needs more optimization.
5 606 0.871839438016 Henry Cohn, 2026, needs more optimization.
5 607 0.871971923921 Henry Cohn, 2026, needs more optimization.
5 608 0.872051549989 Henry Cohn, 2026, needs more optimization.
5 609 0.872237353197 Henry Cohn, 2026, needs more optimization.
5 610 0.872325027352 Henry Cohn, 2026, needs more optimization.
5 611 0.872401450018 Henry Cohn, 2026, needs more optimization.
5 612 0.872538835232 Henry Cohn, 2026, needs more optimization.
5 613 0.872638863438 Henry Cohn, 2026, needs more optimization.
5 614 0.872796284454 Henry Cohn, 2026, needs more optimization.
5 615 0.872874537222 Henry Cohn, 2026, needs more optimization.
5 616 0.873038874210 Henry Cohn, 2026, needs more optimization.
5 617 0.873150828188 Henry Cohn, 2026, needs more optimization.
5 618 0.873298660296 Henry Cohn, 2026, needs more optimization.
5 619 0.873410406139 Henry Cohn, 2026, needs more optimization.
5 620 0.873492123299 Henry Cohn, 2026, needs more optimization.
5 621 0.873597926156 Henry Cohn, 2026, needs more optimization.
5 622 0.873688564089 Henry Cohn, 2026, needs more optimization.
5 623 0.873776366850 Henry Cohn, 2026, needs more optimization.
5 624 0.873923044072 Henry Cohn, 2026, needs more optimization.
5 625 0.874065862898 Henry Cohn, 2026, needs more optimization.
5 626 0.874128867511 Henry Cohn, 2026, needs more optimization.
5 627 0.874158276869 Henry Cohn, 2026, needs more optimization.
5 628 0.874259183488 Henry Cohn, 2026, needs more optimization.
5 629 0.874405237742 Henry Cohn, 2026, needs more optimization.
5 630 0.874562985979 Henry Cohn, 2026, needs more optimization.
5 631 0.874614075934 Henry Cohn, 2026, needs more optimization.
5 632 0.874756465506 Henry Cohn, 2026, needs more optimization.
5 633 0.874890896992 Henry Cohn, 2026, needs more optimization.
5 634 0.874980311946 Henry Cohn, 2026, needs more optimization.
5 635 0.875107620953 Henry Cohn, 2026, needs more optimization.
5 636 0.875214903577 Henry Cohn, 2026, needs more optimization.
5 637 0.875295672789 Henry Cohn, 2026, needs more optimization.
5 638 0.875321552787 Henry Cohn, 2026, needs more optimization.
5 639 0.875385818426 Henry Cohn, 2026, needs more optimization.
5 640 0.875569089555 Henry Cohn, 2026, needs more optimization.
5 641 0.875583964936 Henry Cohn, 2026, needs more optimization.
5 642 0.875648255884 Henry Cohn, 2026, needs more optimization.
5 643 0.875782331863 Henry Cohn, 2026, needs more optimization.
5 644 0.875783287192 Henry Cohn, 2026, needs more optimization.
5 645 0.876024688415 Henry Cohn, 2026, needs more optimization.
5 646 0.876098530201 Henry Cohn, 2026, needs more optimization.
5 647 0.876268755024 Henry Cohn, 2026, needs more optimization.
5 648 0.876310781172 Henry Cohn, 2026, needs more optimization.
5 649 0.876432083462 Henry Cohn, 2026, needs more optimization.
5 650 0.876493172687 Henry Cohn, 2026, needs more optimization.
5 651 0.876593353895 Henry Cohn, 2026, needs more optimization.
5 652 0.876639002127 Henry Cohn, 2026, needs more optimization.
5 653 0.876675955419 Henry Cohn, 2026, needs more optimization.
5 654 0.876775709786 Henry Cohn, 2026, needs more optimization.
5 655 0.876907051010 Henry Cohn, 2026, needs more optimization.
5 656 0.876991747724 Henry Cohn, 2026, needs more optimization.
5 657 0.877147360464 Henry Cohn, 2026, needs more optimization.
5 658 0.877257215223 Henry Cohn, 2026, needs more optimization.
5 659 0.877332192248 Henry Cohn, 2026, needs more optimization.
5 660 0.877435126862 Henry Cohn, 2026, needs more optimization.
5 661 0.877449274627 Henry Cohn, 2026, needs more optimization.
5 662 0.877545132269 Henry Cohn, 2026, needs more optimization.
5 663 0.877640531342 Henry Cohn, 2026, needs more optimization.
5 664 0.877775703315 Henry Cohn, 2026, needs more optimization.
5 665 0.877781252550 Henry Cohn, 2026, needs more optimization.
5 666 0.877864197018 Henry Cohn, 2026, needs more optimization.
5 667 0.877924770144 Henry Cohn, 2026, needs more optimization.
5 668 0.877994341481 Henry Cohn, 2026, needs more optimization.
5 669 0.878174529897 Henry Cohn, 2026, needs more optimization.
5 670 0.878186971733 Henry Cohn, 2026, needs more optimization.
5 671 0.878368920505 Henry Cohn, 2026, needs more optimization.
5 672 0.878443334891 Henry Cohn, 2026, needs more optimization.
5 673 0.878534192270 Henry Cohn, 2026, needs more optimization.
5 674 0.878648264282 Henry Cohn, 2026, needs more optimization.
5 675 0.878672030451 Henry Cohn, 2026, needs more optimization.
5 676 0.878772581619 Henry Cohn, 2026, needs more optimization.
5 677 0.878901349100 Henry Cohn, 2026, needs more optimization.
5 678 0.879037666646 Henry Cohn, 2026, needs more optimization.
5 679 0.879081221479 Henry Cohn, 2026, needs more optimization.
5 680 0.879121543472 Henry Cohn, 2026, needs more optimization.
5 681 0.879261160324 Henry Cohn, 2026, needs more optimization.
5 682 0.879349516623 Henry Cohn, 2026, needs more optimization.
5 683 0.879413845968 Henry Cohn, 2026, needs more optimization.
5 684 0.879531354886 Henry Cohn, 2026, needs more optimization.
5 685 0.879567588891 Henry Cohn, 2026, needs more optimization.
5 686 0.879607145128 Henry Cohn, 2026, needs more optimization.
5 687 0.879826226703 Henry Cohn, 2026, needs more optimization.
5 688 0.879923545654 Henry Cohn, 2026, needs more optimization.
5 689 0.880002195070 Henry Cohn, 2026, needs more optimization.
5 690 0.880053192728 Henry Cohn, 2026, needs more optimization.
5 691 0.880163659050 Henry Cohn, 2026, needs more optimization.
5 692 0.880261643827 Henry Cohn, 2026, needs more optimization.
5 693 0.880323371491 Henry Cohn, 2026, needs more optimization.
5 694 0.880417098602 Henry Cohn, 2026, needs more optimization.
5 695 0.880471571335 Henry Cohn, 2026, needs more optimization.
5 696 0.880547922069 Henry Cohn, 2026, needs more optimization.
5 697 0.880621722927 Henry Cohn, 2026, needs more optimization.
5 698 0.880700304076 Henry Cohn, 2026, needs more optimization.
5 699 0.880810296514 Henry Cohn, 2026, needs more optimization.
5 700 0.880833624842 Henry Cohn, 2026, needs more optimization.
5 701 0.880992846070 Henry Cohn, 2026, needs more optimization.
5 702 0.881068477612 Henry Cohn, 2026, needs more optimization.
5 703 0.881075017348 Henry Cohn, 2026, needs more optimization.
5 704 0.881198643973 Henry Cohn, 2026, needs more optimization.
5 705 0.881228897032 Henry Cohn, 2026, needs more optimization.
5 706 0.881337174089 Henry Cohn, 2026, needs more optimization.
5 707 0.881445350974 Henry Cohn, 2026, needs more optimization.
5 708 0.881597959735 Henry Cohn, 2026, needs more optimization.
5 709 0.881726619444 Henry Cohn, 2026, needs more optimization.
5 710 0.881730233040 Henry Cohn, 2026, needs more optimization.
5 711 0.881788116582 Henry Cohn, 2026, needs more optimization.
5 712 0.881858221948 Henry Cohn, 2026, needs more optimization.
5 713 0.881947898783 Henry Cohn, 2026, needs more optimization.
5 714 0.882026937925 Henry Cohn, 2026, needs more optimization.
5 715 0.882125291119 Henry Cohn, 2026, needs more optimization.
5 716 0.882203845043 Henry Cohn, 2026, needs more optimization.
5 717 0.882308705968 Henry Cohn, 2026, needs more optimization.
5 718 0.882423423838 Henry Cohn, 2026, needs more optimization.
5 719 0.882439200055 Henry Cohn, 2026, needs more optimization.
5 720 0.882559723852 Henry Cohn, 2026, needs more optimization.
5 721 0.882614631256 Henry Cohn, 2026, needs more optimization.
5 722 0.882717174717 Henry Cohn, 2026, needs more optimization.
5 723 0.882809124971 Henry Cohn, 2026, needs more optimization.
5 724 0.882892385010 Henry Cohn, 2026, needs more optimization.
5 725 0.882970876864 Henry Cohn, 2026, needs more optimization.
5 726 0.883100525703 Henry Cohn, 2026, needs more optimization.
5 727 0.883129872545 Henry Cohn, 2026, needs more optimization.
5 728 0.883248126889 Henry Cohn, 2026, needs more optimization.
5 729 0.883298629673 Henry Cohn, 2026, needs more optimization.
5 730 0.883341893282 Henry Cohn, 2026, needs more optimization.
5 731 0.883429485347 Henry Cohn, 2026, needs more optimization.
5 732 0.883518512080 Henry Cohn, 2026, needs more optimization.
5 733 0.883592848137 Henry Cohn, 2026, needs more optimization.
5 734 0.883680859610 Henry Cohn, 2026, needs more optimization.
5 735 0.883725975674 Henry Cohn, 2026, needs more optimization.
5 736 0.883802003763 Henry Cohn, 2026, needs more optimization.
5 737 0.883864406309 Henry Cohn, 2026, needs more optimization.
5 738 0.883968891338 Henry Cohn, 2026, needs more optimization.
5 739 0.884044241604 Henry Cohn, 2026, needs more optimization.
5 740 0.884127160244 Henry Cohn, 2026, needs more optimization.
5 741 0.884310939665 Henry Cohn, 2026, needs more optimization.
5 742 0.884395996678 Henry Cohn, 2026, needs more optimization.
5 743 0.884509501601 Henry Cohn, 2026, needs more optimization.
5 744 0.884613211605 Henry Cohn, 2026, needs more optimization.
5 745 0.884661385266 Henry Cohn, 2026, needs more optimization.
5 746 0.884751223963 Henry Cohn, 2026, needs more optimization.
5 747 0.884824421688 Henry Cohn, 2026, needs more optimization.
5 748 0.884918412301 Henry Cohn, 2026, needs more optimization.
5 749 0.884967339692 Henry Cohn, 2026, needs more optimization.
5 750 0.885021011187 Henry Cohn, 2026, needs more optimization.
5 751 0.885122044791 Henry Cohn, 2026, needs more optimization.
5 752 0.885182978449 Henry Cohn, 2026, needs more optimization.
5 753 0.885220234971 Henry Cohn, 2026, needs more optimization.
5 754 0.885313851618 Henry Cohn, 2026, needs more optimization.
5 755 0.885361680897 Henry Cohn, 2026, needs more optimization.
5 756 0.885406018652 Henry Cohn, 2026, needs more optimization.
5 757 0.885482462682 Henry Cohn, 2026, needs more optimization.
5 758 0.885579612270 Henry Cohn, 2026, needs more optimization.
5 759 0.885619217292 Henry Cohn, 2026, needs more optimization.
5 760 0.885674414140 Henry Cohn, 2026, needs more optimization.
5 761 0.885792419371 Henry Cohn, 2026, needs more optimization.
5 762 0.885852432596 Henry Cohn, 2026, needs more optimization.
5 763 0.885935362404 Henry Cohn, 2026, needs more optimization.
5 764 0.886055213692 Henry Cohn, 2026, needs more optimization.
5 765 0.886147880710 Henry Cohn, 2026, needs more optimization.
5 766 0.886224798915 Henry Cohn, 2026, needs more optimization.
5 767 0.886257437491 Henry Cohn, 2026, needs more optimization.
5 768 0.886277256201 Henry Cohn, 2026, needs more optimization.
5 769 0.886327501492 Henry Cohn, 2026, needs more optimization.
5 770 0.886396715149 Henry Cohn, 2026, needs more optimization.
5 771 0.886478353994 Henry Cohn, 2026, needs more optimization.
5 772 0.886552923126 Henry Cohn, 2026, needs more optimization.
5 773 0.886629480321 Henry Cohn, 2026, needs more optimization.
5 774 0.886729155812 Henry Cohn, 2026, needs more optimization.
5 775 0.886817151064 Henry Cohn, 2026, needs more optimization.
5 776 0.886927148690 Henry Cohn, 2026, needs more optimization.
5 777 0.886938494845 Henry Cohn, 2026, needs more optimization.
5 778 0.887039381265 Henry Cohn, 2026, needs more optimization.
5 779 0.887107124883 Henry Cohn, 2026, needs more optimization.
5 780 0.887256158079 Henry Cohn, 2026, needs more optimization.
5 781 0.887275387775 Henry Cohn, 2026, needs more optimization.
5 782 0.887278072348 Henry Cohn, 2026, needs more optimization.
5 783 0.887327824431 Henry Cohn, 2026, needs more optimization.
5 784 0.887399801608 Henry Cohn, 2026, needs more optimization.
5 785 0.887468939155 Henry Cohn, 2026, needs more optimization.
5 786 0.887523968402 Henry Cohn, 2026, needs more optimization.
5 787 0.887642408025 Henry Cohn, 2026, needs more optimization.
5 788 0.887720980435 Henry Cohn, 2026, needs more optimization.
5 789 0.887793403172 Henry Cohn, 2026, needs more optimization.
5 790 0.887897067346 Henry Cohn, 2026, needs more optimization.
5 791 0.887898591605 Henry Cohn, 2026, needs more optimization.
5 792 0.887989521224 Henry Cohn, 2026, needs more optimization.
5 793 0.888048626506 Henry Cohn, 2026, needs more optimization.
5 794 0.888128918864 Henry Cohn, 2026, needs more optimization.
5 795 0.888173125828 Henry Cohn, 2026, needs more optimization.
5 796 0.888230191347 Henry Cohn, 2026, needs more optimization.
5 797 0.888306841611 Henry Cohn, 2026, needs more optimization.
5 798 0.888388394496 Henry Cohn, 2026, needs more optimization.
5 799 0.888471832328 Henry Cohn, 2026, needs more optimization.
5 800 0.888518757524 Henry Cohn, 2026, needs more optimization.
5 801 0.888549829098 Henry Cohn, 2026, needs more optimization.
5 802 0.888648278606 Henry Cohn, 2026, needs more optimization.
5 803 0.888778851092 Henry Cohn, 2026, needs more optimization.
5 804 0.888897872236 Henry Cohn, 2026, needs more optimization.
5 805 0.888913866365 Henry Cohn, 2026, needs more optimization.
5 806 0.888950925346 Henry Cohn, 2026, needs more optimization.
5 807 0.889002929888 Henry Cohn, 2026, needs more optimization.
5 808 0.889098233894 Henry Cohn, 2026, needs more optimization.
5 809 0.889220949190 Henry Cohn, 2026, needs more optimization.
5 810 0.889242248779 Henry Cohn, 2026, needs more optimization.
5 811 0.889370327706 Henry Cohn, 2026, needs more optimization.
5 812 0.889455887037 Henry Cohn, 2026, needs more optimization.
5 813 0.889527921588 Henry Cohn, 2026, needs more optimization.
5 814 0.889657240422 Henry Cohn, 2026, needs more optimization.
5 815 0.889691966100 Henry Cohn, 2026, needs more optimization.
5 816 0.889694789891 Henry Cohn, 2026, needs more optimization.
5 817 0.889712199575 Henry Cohn, 2026, needs more optimization.
5 818 0.889819630296 Henry Cohn, 2026, needs more optimization.
5 819 0.889855968005 Henry Cohn, 2026, needs more optimization.
5 820 0.889879518665 Henry Cohn, 2026, needs more optimization.
5 821 0.889981917221 Henry Cohn, 2026, needs more optimization.
5 822 0.890017725453 Henry Cohn, 2026, needs more optimization.
5 823 0.890104504385 Henry Cohn, 2026, needs more optimization.
5 824 0.890248469296 Henry Cohn, 2026, needs more optimization.
5 825 0.890345672902 Henry Cohn, 2026, needs more optimization.
5 826 0.890348524238 Henry Cohn, 2026, needs more optimization.
5 827 0.890419647467 Henry Cohn, 2026, needs more optimization.
5 828 0.890538369033 Henry Cohn, 2026, needs more optimization.
5 829 0.890544094884 Henry Cohn, 2026, needs more optimization.
5 830 0.890626606315 Henry Cohn, 2026, needs more optimization.
5 831 0.890714060460 Henry Cohn, 2026, needs more optimization.
5 832 0.890718441404 Henry Cohn, 2026, needs more optimization.
5 833 0.890723874947 Henry Cohn, 2026, needs more optimization.
5 834 0.890780482801 Henry Cohn, 2026, needs more optimization.
5 835 0.890867209749 Henry Cohn, 2026, needs more optimization.
5 836 0.891002288405 Henry Cohn, 2026, needs more optimization.
5 837 0.891082134040 Henry Cohn, 2026, needs more optimization.
5 838 0.891157847754 Henry Cohn, 2026, needs more optimization.
5 839 0.891220884059 Henry Cohn, 2026, needs more optimization.
5 840 0.891290551283 Henry Cohn, 2026, needs more optimization.
5 841 0.891365921948 Henry Cohn, 2026, needs more optimization.
5 842 0.891413781763 Henry Cohn, 2026, needs more optimization.
5 843 0.891497253789 Henry Cohn, 2026, needs more optimization.
5 844 0.891523924560 Henry Cohn, 2026, needs more optimization.
5 845 0.891546340452 Henry Cohn, 2026, needs more optimization.
5 846 0.891654085400 Henry Cohn, 2026, needs more optimization.
5 847 0.891720972062 Henry Cohn, 2026, needs more optimization.
5 848 0.891803656947 Henry Cohn, 2026, needs more optimization.
5 849 0.891860113918 Henry Cohn, 2026, needs more optimization.
5 850 0.891898212723 Henry Cohn, 2026, needs more optimization.
5 851 0.891945237193 Henry Cohn, 2026, needs more optimization.
5 852 0.892047751635 Henry Cohn, 2026, needs more optimization.
5 853 0.892102247721 Henry Cohn, 2026, needs more optimization.
5 854 0.892149305642 Henry Cohn, 2026, needs more optimization.
5 855 0.892172299469 Henry Cohn, 2026, needs more optimization.
5 856 0.892354108399 Henry Cohn, 2026, needs more optimization.
5 857 0.892355032164 Henry Cohn, 2026, needs more optimization.
5 858 0.892395793935 Henry Cohn, 2026, needs more optimization.
5 859 0.892503815926 Henry Cohn, 2026, needs more optimization.
5 860 0.892574850467 Henry Cohn, 2026, needs more optimization.
5 861 0.892591744835 Henry Cohn, 2026, needs more optimization.
5 862 0.892625669182 Henry Cohn, 2026, needs more optimization.
5 863 0.892693280900 Henry Cohn, 2026, needs more optimization.
5 864 0.892755575969 Henry Cohn, 2026, needs more optimization.
5 865 0.892871125185 Henry Cohn, 2026, needs more optimization.
5 866 0.892880063785 Henry Cohn, 2026, needs more optimization.
5 867 0.892994475409 Henry Cohn, 2026, needs more optimization.
5 868 0.893078641628 Henry Cohn, 2026, needs more optimization.
5 869 0.893081177016 Henry Cohn, 2026, needs more optimization.
5 870 0.893170870026 Henry Cohn, 2026, needs more optimization.
5 871 0.893249980986 Henry Cohn, 2026, needs more optimization.
5 872 0.893301515444 Henry Cohn, 2026, needs more optimization.
5 873 0.893319643875 Henry Cohn, 2026, needs more optimization.
5 874 0.893378000430 Henry Cohn, 2026, needs more optimization.
5 875 0.893472586281 Henry Cohn, 2026, needs more optimization.
5 876 0.893522376603 Henry Cohn, 2026, needs more optimization.
5 877 0.893612933793 Henry Cohn, 2026, needs more optimization.
5 878 0.893662226925 Henry Cohn, 2026, needs more optimization.
5 879 0.893723530218 Henry Cohn, 2026, needs more optimization.
5 880 0.893798003269 Henry Cohn, 2026, needs more optimization.
5 881 0.893799483211 Henry Cohn, 2026, needs more optimization.
5 882 0.893815749401 Henry Cohn, 2026, needs more optimization.
5 883 0.893945499363 Henry Cohn, 2026, needs more optimization.
5 884 0.894001974633 Henry Cohn, 2026, needs more optimization.
5 885 0.894070672812 Henry Cohn, 2026, needs more optimization.
5 886 0.894124329298 Henry Cohn, 2026, needs more optimization.
5 887 0.894210929326 Henry Cohn, 2026, needs more optimization.
5 888 0.894287959487 Henry Cohn, 2026, needs more optimization.
5 889 0.894299490905 Henry Cohn, 2026, needs more optimization.
5 890 0.894364665327 Henry Cohn, 2026, needs more optimization.
5 891 0.894404294353 Henry Cohn, 2026, needs more optimization.
5 892 0.894525973398 Henry Cohn, 2026, needs more optimization.
5 893 0.894577804893 Henry Cohn, 2026, needs more optimization.
5 894 0.894639880326 Henry Cohn, 2026, needs more optimization.
5 895 0.894641239484 Henry Cohn, 2026, needs more optimization.
5 896 0.894726758969 Henry Cohn, 2026, needs more optimization.
5 897 0.894730138478 Henry Cohn, 2026, needs more optimization.
5 898 0.894815724723 Henry Cohn, 2026, needs more optimization.
5 899 0.894873484958 Henry Cohn, 2026, needs more optimization.
5 900 0.894893993150 Henry Cohn, 2026, needs more optimization.
5 901 0.894967333371 Henry Cohn, 2026, needs more optimization.
5 902 0.895045682759 Henry Cohn, 2026, needs more optimization.
5 903 0.895143900496 Henry Cohn, 2026, needs more optimization.
5 904 0.895209694574 Henry Cohn, 2026, needs more optimization.
5 905 0.895274403829 Henry Cohn, 2026, needs more optimization.
5 906 0.895386084787 Henry Cohn, 2026, needs more optimization.
5 907 0.895387715523 Henry Cohn, 2026, needs more optimization.
5 908 0.895471354752 Henry Cohn, 2026, needs more optimization.
5 909 0.895495715090 Henry Cohn, 2026, needs more optimization.
5 910 0.895555113059 Henry Cohn, 2026, needs more optimization.
5 911 0.895662603669 Henry Cohn, 2026, needs more optimization.
5 912 0.895698066156 Henry Cohn, 2026, needs more optimization.
5 913 0.895774298899 Henry Cohn, 2026, needs more optimization.
5 914 0.895817781251 Henry Cohn, 2026, needs more optimization.
5 915 0.895837152059 Henry Cohn, 2026, needs more optimization.
5 916 0.895927435468 Henry Cohn, 2026, needs more optimization.
5 917 0.895959750207 Henry Cohn, 2026, needs more optimization.
5 918 0.896052529774 Henry Cohn, 2026, needs more optimization.
5 919 0.896057195419 Henry Cohn, 2026, needs more optimization.
5 920 0.896157239398 Henry Cohn, 2026, needs more optimization.
5 921 0.896172933618 Henry Cohn, 2026, needs more optimization.
5 922 0.896267065623 Henry Cohn, 2026, needs more optimization.
5 923 0.896288629595 Henry Cohn, 2026, needs more optimization.
5 924 0.896376187462 Henry Cohn, 2026, needs more optimization.
5 925 0.896394389733 Henry Cohn, 2026, needs more optimization.
5 926 0.896459005592 Henry Cohn, 2026, needs more optimization.
5 927 0.896479366077 Henry Cohn, 2026, needs more optimization.
5 928 0.896559873375 Henry Cohn, 2026, needs more optimization.
5 929 0.896622558124 Henry Cohn, 2026, needs more optimization.
5 930 0.896695239299 Henry Cohn, 2026, needs more optimization.
5 931 0.896765325091 Henry Cohn, 2026, needs more optimization.
5 932 0.896825287279 Henry Cohn, 2026, needs more optimization.
5 933 0.896865502687 Henry Cohn, 2026, needs more optimization.
5 934 0.896923763160 Henry Cohn, 2026, needs more optimization.
5 935 0.896992077259 Henry Cohn, 2026, needs more optimization.
5 936 0.897005056775 Henry Cohn, 2026, needs more optimization.
5 937 0.897073524202 Henry Cohn, 2026, needs more optimization.
5 938 0.897154518509 Henry Cohn, 2026, needs more optimization.
5 939 0.897168977906 Henry Cohn, 2026, needs more optimization.
5 940 0.897210721387 Henry Cohn, 2026, needs more optimization.
5 941 0.897252041377 Henry Cohn, 2026, needs more optimization.
5 942 0.897324896369 Henry Cohn, 2026, needs more optimization.
5 943 0.897427154927 Henry Cohn, 2026, needs more optimization.
5 944 0.897503684174 Henry Cohn, 2026, needs more optimization.
5 945 0.897524160445 Henry Cohn, 2026, needs more optimization.
5 946 0.897574755734 Henry Cohn, 2026, needs more optimization.
5 947 0.897648464578 Henry Cohn, 2026, needs more optimization.
5 948 0.897720979491 Henry Cohn, 2026, needs more optimization.
5 949 0.897798097853 Henry Cohn, 2026, needs more optimization.
5 950 0.897848451532 Henry Cohn, 2026, needs more optimization.
5 951 0.897901981816 Henry Cohn, 2026, needs more optimization.
5 952 0.897950747454 Henry Cohn, 2026, needs more optimization.
5 953 0.897975487932 Henry Cohn, 2026, needs more optimization.
5 954 0.897992487543 Henry Cohn, 2026, needs more optimization.
5 955 0.897995087912 Henry Cohn, 2026, needs more optimization.
5 956 0.898015793500 Henry Cohn, 2026, needs more optimization.
5 957 0.898093470250 Henry Cohn, 2026, needs more optimization.
5 958 0.898197659026 Henry Cohn, 2026, needs more optimization.
5 959 0.898242830731 Henry Cohn, 2026, needs more optimization.
5 960 0.898260603769 Henry Cohn, 2026, needs more optimization.
5 961 0.898352364142 Henry Cohn, 2026, needs more optimization.
5 962 0.898395207078 Henry Cohn, 2026, needs more optimization.
5 963 0.898410557948 Henry Cohn, 2026, needs more optimization.
5 964 0.898493859423 Henry Cohn, 2026, needs more optimization.
5 965 0.898527459803 Henry Cohn, 2026, needs more optimization.
5 966 0.898573759698 Henry Cohn, 2026, needs more optimization.
5 967 0.898584031829 Henry Cohn, 2026, needs more optimization.
5 968 0.898724725730 Henry Cohn, 2026, needs more optimization.
5 969 0.898809749216 Henry Cohn, 2026, needs more optimization.
5 970 0.898829923099 Henry Cohn, 2026, needs more optimization.
5 971 0.898876082735 Henry Cohn, 2026, needs more optimization.
5 972 0.898896273983 Henry Cohn, 2026, needs more optimization.
5 973 0.898934206559 Henry Cohn, 2026, needs more optimization.
5 974 0.899017812654 Henry Cohn, 2026, needs more optimization.
5 975 0.899095295722 Henry Cohn, 2026, needs more optimization.
5 976 0.899122733896 Henry Cohn, 2026, needs more optimization.
5 977 0.899143578778 Henry Cohn, 2026, needs more optimization.
5 978 0.899223917868 Henry Cohn, 2026, needs more optimization.
5 979 0.899225964918 Henry Cohn, 2026, needs more optimization.
5 980 0.899329772889 Henry Cohn, 2026, needs more optimization.
5 981 0.899361385652 Henry Cohn, 2026, needs more optimization.
5 982 0.899424290522 Henry Cohn, 2026, needs more optimization.
5 983 0.899491812787 Henry Cohn, 2026, needs more optimization.
5 984 0.899495100596 Henry Cohn, 2026, needs more optimization.
5 985 0.899619052976 Henry Cohn, 2026, needs more optimization.
5 986 0.899698566873 Henry Cohn, 2026, needs more optimization.
5 987 0.899713260583 Henry Cohn, 2026, needs more optimization.
5 988 0.899770884850 Henry Cohn, 2026, needs more optimization.
5 989 0.899858136028 Henry Cohn, 2026, needs more optimization.
5 990 0.899872024623 Henry Cohn, 2026, needs more optimization.
5 991 0.899895928380 Henry Cohn, 2026, needs more optimization.
5 992 0.899924749373 Henry Cohn, 2026, needs more optimization.
5 993 0.899993684559 Henry Cohn, 2026, needs more optimization.
5 994 0.900049532273 Henry Cohn, 2026, needs more optimization.
5 995 0.900104862962 Henry Cohn, 2026, needs more optimization.
5 996 0.900205918209 Henry Cohn, 2026, needs more optimization.
5 997 0.900242419528 Henry Cohn, 2026, needs more optimization.
5 998 0.900319464800 Henry Cohn, 2026, needs more optimization.
5 999 0.900398898595 Henry Cohn, 2026, needs more optimization.
5 1000 0.900401480186 Henry Cohn, 2026, needs more optimization.
5 1001 0.900455791431 Henry Cohn, 2026, needs more optimization.
5 1002 0.900503168618 Henry Cohn, 2026, needs more optimization.
5 1003 0.900552004610 Henry Cohn, 2026, needs more optimization.
5 1004 0.900559448473 Henry Cohn, 2026, needs more optimization.
5 1005 0.900624485064 Henry Cohn, 2026, needs more optimization.
5 1006 0.900686769953 Henry Cohn, 2026, needs more optimization.
5 1007 0.900695901598 Henry Cohn, 2026, needs more optimization.
5 1008 0.900833802717 Henry Cohn, 2026, needs more optimization.
5 1009 0.900847498079 Henry Cohn, 2026, needs more optimization.
5 1010 0.900908435669 Henry Cohn, 2026, needs more optimization.
5 1011 0.900958781724 Henry Cohn, 2026, needs more optimization.
5 1012 0.900968544972 Henry Cohn, 2026, needs more optimization.
5 1013 0.901011235991 Henry Cohn, 2026, needs more optimization.
5 1014 0.901096452473 Henry Cohn, 2026, needs more optimization.
5 1015 0.901107181918 Henry Cohn, 2026, needs more optimization.
5 1016 0.901112287223 Henry Cohn, 2026, needs more optimization.
5 1017 0.901153087009 Henry Cohn, 2026, needs more optimization.
5 1018 0.901205912689 Henry Cohn, 2026, needs more optimization.
5 1019 0.901294037237 Henry Cohn, 2026, needs more optimization.
5 1020 0.901305571354 Henry Cohn, 2026, needs more optimization.
5 1021 0.901387865813 Henry Cohn, 2026, needs more optimization.
5 1022 0.901437174267 Henry Cohn, 2026, needs more optimization.
5 1023 0.901480187561 Henry Cohn, 2026, needs more optimization.
5 1024 0.901484428132 Henry Cohn, 2026, needs more optimization.
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 0.435705030667 Henry Cohn, 2025.
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 0.486085706237 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.495376595904 Henry Cohn, 2023.
6 63 0.498122491823 Henry Cohn, 2023.
6 64 0.498522963739 Henry Cohn, 2025.
6 65 0.499974913357 Henry Cohn, 2025.
6 66 0.499976896430 Henry Cohn, 2026.
6 67 0.499991659867 Henry Cohn, 2026.
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 0.524373608780 Henry Cohn, 2026.
6 76 0.524881252881 Henry Cohn, 2026.
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 0.543286550497 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 84 0.546018230582 Henry Cohn, 2025.
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 0.557506870643 Henry Cohn, 2026, needs more optimization.
6 91 0.557588802583 Henry Cohn, 2026.
6 92 0.560971622256 Henry Cohn, 2025.
6 93 0.563013323310 Henry Cohn, 2023.
6 94 0.565350375903 Henry Cohn, 2024.
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 0.581239830251 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 104 0.582504372850 Henry Cohn, 2026, needs more optimization.
6 105 0.583291339461 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.583371498649 Henry Cohn, 2026.
6 107 0.583372432432 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 0.596439214295 Henry Cohn, 2025.
6 117 0.596439359703 Henry Cohn, 2025, needs more optimization.
6 118 0.596439417437 Henry Cohn, 2026.
6 119 0.598424125415 Henry Cohn, 2025.
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.
6 125 0.607973280238 Henry Cohn, 2026, needs more optimization.
6 126 0.610385711272 Henry Cohn, 2026.
6 127 0.616412773395 Henry Cohn, 2026.
6 128 0.618886710990 Henry Cohn, 2026.
6 129 0.620224367829 Henry Cohn, 2025.
6 130 0.623410242886 Henry Cohn, 2026, needs more optimization.
6 132 0.624698587770 Henry Cohn, 2026, needs more optimization.
6 133 0.626200566070 Henry Cohn, 2026, needs more optimization.
6 134 0.628625329217 Henry Cohn, 2026, needs more optimization.
6 135 0.630530656158 Henry Cohn, 2026, needs more optimization.
6 136 0.631774376880 Henry Cohn, 2026, needs more optimization.
6 137 0.633402294823 Henry Cohn, 2025.
6 138 0.634581525899 Henry Cohn, 2026, needs more optimization.
6 139 0.636156410888 Henry Cohn, 2026, needs more optimization.
6 140 0.637374263264 Henry Cohn, 2026, needs more optimization.
6 141 0.639553904451 Henry Cohn, 2026, needs more optimization.
6 142 0.639907721551 Henry Cohn, 2026, needs more optimization.
6 143 0.641418520213 Henry Cohn, 2026, needs more optimization.
6 144 0.642197636629 Henry Cohn, 2026, needs more optimization.
6 145 0.643736589881 Henry Cohn, 2026, needs more optimization.
6 146 0.644836175120 Henry Cohn, 2026, needs more optimization.
6 147 0.645786741328 Henry Cohn, 2026, needs more optimization.
6 148 0.646694489449 Henry Cohn, 2026, needs more optimization.
6 149 0.648305403697 Henry Cohn, 2026, needs more optimization.
6 150 0.649234363496 Henry Cohn, 2026, needs more optimization.
6 151 0.649894104895 Henry Cohn, 2026, needs more optimization.
6 152 0.651373135987 Henry Cohn, 2026, needs more optimization.
6 153 0.651424838401 Henry Cohn, 2026, needs more optimization.
6 154 0.651922315376 Henry Cohn, 2026, needs more optimization.
6 155 0.652677694649 Henry Cohn, 2026, needs more optimization.
6 156 0.653218899218 Henry Cohn, 2026, needs more optimization.
6 157 0.653907541108 Henry Cohn, 2026, needs more optimization.
6 158 0.654174169895 Henry Cohn, 2026, needs more optimization.
6 159 0.654917498173 Henry Cohn, 2026, needs more optimization.
6 160 0.655640276044 Henry Cohn, 2026, needs more optimization.
6 161 0.656172854060 Henry Cohn, 2026, needs more optimization.
6 162 0.656798568390 Henry Cohn, 2026, needs more optimization.
6 163 0.657620246620 Henry Cohn, 2026, needs more optimization.
6 164 0.658348653642 Henry Cohn, 2026, needs more optimization.
6 165 0.659084509520 Henry Cohn, 2026, needs more optimization.
6 166 0.659964102589 Henry Cohn, 2026, needs more optimization.
6 167 0.660355875176 Henry Cohn, 2026, needs more optimization.
6 168 0.660627530270 Henry Cohn, 2026, needs more optimization.
6 169 0.661754323144 Henry Cohn, 2026, needs more optimization.
6 170 0.662663966597 Henry Cohn, 2026, needs more optimization.
6 171 0.663635354345 Henry Cohn, 2026, needs more optimization.
6 172 0.664135030350 Henry Cohn, 2026, needs more optimization.
6 173 0.664451438570 Henry Cohn, 2026, needs more optimization.
6 174 0.664870954572 Henry Cohn, 2026, needs more optimization.
6 175 0.665443411314 Henry Cohn, 2026, needs more optimization.
6 176 0.666108374074 Henry Cohn, 2026, needs more optimization.
6 177 0.667548831820 Henry Cohn, 2026, needs more optimization.
6 178 0.668632913251 Henry Cohn, 2026, needs more optimization.
6 179 0.670300860699 Henry Cohn, 2026, needs more optimization.
6 180 0.671448802342 Henry Cohn, 2026, needs more optimization.
6 181 0.671959680179 Henry Cohn, 2026, needs more optimization.
6 182 0.672777006146 Henry Cohn, 2026, needs more optimization.
6 183 0.673121849734 Henry Cohn, 2026, needs more optimization.
6 184 0.673943938095 Henry Cohn, 2026, needs more optimization.
6 185 0.674404312145 Henry Cohn, 2026, needs more optimization.
6 186 0.674794320268 Henry Cohn, 2026, needs more optimization.
6 187 0.675996645217 Henry Cohn, 2026, needs more optimization.
6 188 0.676600132239 Henry Cohn, 2026, needs more optimization.
6 189 0.677344928786 Henry Cohn, 2026, needs more optimization.
6 190 0.677398319450 Henry Cohn, 2026, needs more optimization.
6 191 0.678568576272 Henry Cohn, 2026, needs more optimization.
6 192 0.679441539730 Henry Cohn, 2026, needs more optimization.
6 193 0.679736288064 Henry Cohn, 2026, needs more optimization.
6 194 0.680560707120 Henry Cohn, 2026, needs more optimization.
6 195 0.681332654790 Henry Cohn, 2026, needs more optimization.
6 196 0.681796491932 Henry Cohn, 2026, needs more optimization.
6 197 0.682623517458 Henry Cohn, 2026, needs more optimization.
6 198 0.682973005803 Henry Cohn, 2026, needs more optimization.
6 199 0.683512982745 Henry Cohn, 2026, needs more optimization.
6 200 0.684371957443 Henry Cohn, 2026, needs more optimization.
6 201 0.684423960591 Henry Cohn, 2026, needs more optimization.
6 202 0.684695807095 Henry Cohn, 2026, needs more optimization.
6 203 0.685464316067 Henry Cohn, 2026, needs more optimization.
6 204 0.686165906744 Henry Cohn, 2026, needs more optimization.
6 205 0.686254220699 Henry Cohn, 2026, needs more optimization.
6 206 0.687047370550 Henry Cohn, 2026, needs more optimization.
6 207 0.687792664686 Henry Cohn, 2026, needs more optimization.
6 208 0.688115881179 Henry Cohn, 2026, needs more optimization.
6 209 0.689071781042 Henry Cohn, 2026, needs more optimization.
6 210 0.689977654351 Henry Cohn, 2026, needs more optimization.
6 211 0.690713818396 Henry Cohn, 2026, needs more optimization.
6 212 0.691219012759 Henry Cohn, 2026, needs more optimization.
6 213 0.691670583504 Henry Cohn, 2026, needs more optimization.
6 214 0.692291091881 Henry Cohn, 2026, needs more optimization.
6 215 0.692810471737 Henry Cohn, 2026, needs more optimization.
6 216 0.693329450960 Henry Cohn, 2026, needs more optimization.
6 217 0.694030824632 Henry Cohn, 2026, needs more optimization.
6 218 0.694428133992 Henry Cohn, 2026, needs more optimization.
6 219 0.695082508504 Henry Cohn, 2026, needs more optimization.
6 220 0.695147508927 Henry Cohn, 2026, needs more optimization.
6 221 0.695418366142 Henry Cohn, 2026, needs more optimization.
6 222 0.695867575619 Henry Cohn, 2026, needs more optimization.
6 223 0.696382860650 Henry Cohn, 2026, needs more optimization.
6 224 0.697123573666 Henry Cohn, 2026, needs more optimization.
6 225 0.697415772185 Henry Cohn, 2026, needs more optimization.
6 226 0.698148530669 Henry Cohn, 2026, needs more optimization.
6 227 0.698328856973 Henry Cohn, 2026, needs more optimization.
6 228 0.698897745201 Henry Cohn, 2026, needs more optimization.
6 229 0.699495105657 Henry Cohn, 2026, needs more optimization.
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
6 244 0.704208403873 Henry Cohn, 2026, needs more optimization.
6 245 0.704211687479 Henry Cohn, 2026, needs more optimization.
6 246 0.704213814827 Henry Cohn, 2026, needs more optimization.
6 247 0.704227784376 Henry Cohn, 2026, needs more optimization.
6 248 0.704239240763 Henry Cohn, 2026, needs more optimization.
6 249 0.704292044560 Henry Cohn, 2026, needs more optimization.
6 250 0.704515544459 Henry Cohn, 2026, needs more optimization.
6 251 0.704633091740 Henry Cohn, 2026, needs more optimization.
6 252 0.704726083982 Henry Cohn, 2026, needs more optimization.
6 253 0.704943057429 Henry Cohn, 2026, needs more optimization.
6 254 0.705090539423 Henry Cohn, 2026, needs more optimization.
6 255 0.705176675928 Henry Cohn, 2026, needs more optimization.
6 256 0.705181778402 Henry Cohn, 2026, needs more optimization.
6 257 0.705532864106 Henry Cohn, 2026, needs more optimization.
6 258 0.706001252510 Henry Cohn, 2026, needs more optimization.
6 259 0.706716718620 Henry Cohn, 2026, needs more optimization.
6 260 0.707187161626 Henry Cohn, 2026, needs more optimization.
6 261 0.707854912557 Henry Cohn, 2026, needs more optimization.
6 262 0.708781132136 Henry Cohn, 2026, needs more optimization.
6 263 0.710063765491 Henry Cohn, 2026, needs more optimization.
6 264 0.710650918995 Henry Cohn, 2026, needs more optimization.
6 265 0.711650054738 Henry Cohn, 2026, needs more optimization.
6 266 0.712056159478 Henry Cohn, 2026, needs more optimization.
6 267 0.712797549744 Henry Cohn, 2026, needs more optimization.
6 268 0.713556912794 Henry Cohn, 2026, needs more optimization.
6 269 0.714387721064 Henry Cohn, 2026, needs more optimization.
6 270 0.715103885640 Henry Cohn, 2026, needs more optimization.
6 271 0.715202108741 Henry Cohn, 2026, needs more optimization.
6 272 0.716089085569 Henry Cohn, 2026, needs more optimization.
6 273 0.716893083905 Henry Cohn, 2026, needs more optimization.
6 274 0.717514325054 Henry Cohn, 2026, needs more optimization.
6 275 0.718332636258 Henry Cohn, 2026, needs more optimization.
6 276 0.718938656266 Henry Cohn, 2026, needs more optimization.
6 277 0.719526311651 Henry Cohn, 2026, needs more optimization.
6 278 0.720056289706 Henry Cohn, 2026, needs more optimization.
6 279 0.720802826851 Henry Cohn, 2026, needs more optimization.
6 280 0.721717943618 Henry Cohn, 2026, needs more optimization.
6 281 0.722082374658 Henry Cohn, 2026, needs more optimization.
6 282 0.722567906183 Henry Cohn, 2026, needs more optimization.
6 283 0.723454960886 Henry Cohn, 2026, needs more optimization.
6 284 0.723876574449 Henry Cohn, 2026, needs more optimization.
6 285 0.724560497992 Henry Cohn, 2026, needs more optimization.
6 286 0.725090030104 Henry Cohn, 2026, needs more optimization.
6 287 0.725210877526 Henry Cohn, 2026, needs more optimization.
6 288 0.725968021465 Henry Cohn, 2026, needs more optimization.
6 289 0.726302619109 Henry Cohn, 2026, needs more optimization.
6 290 0.726303490256 Henry Cohn, 2026, needs more optimization.
6 291 0.726997243048 Henry Cohn, 2026, needs more optimization.
6 292 0.727966382883 Henry Cohn, 2026, needs more optimization.
6 293 0.728393704046 Henry Cohn, 2026, needs more optimization.
6 294 0.728865960567 Henry Cohn, 2026, needs more optimization.
6 295 0.729390745783 Henry Cohn, 2026, needs more optimization.
6 296 0.729924070292 Henry Cohn, 2026, needs more optimization.
6 297 0.730477642728 Henry Cohn, 2026, needs more optimization.
6 298 0.730862704559 Henry Cohn, 2026, needs more optimization.
6 299 0.731065269230 Henry Cohn, 2026, needs more optimization.
6 300 0.731538394785 Henry Cohn, 2026, needs more optimization.
6 301 0.732020939485 Henry Cohn, 2026, needs more optimization.
6 302 0.732595312598 Henry Cohn, 2026, needs more optimization.
6 303 0.732976794742 Henry Cohn, 2026, needs more optimization.
6 304 0.733015604414 Henry Cohn, 2026, needs more optimization.
6 305 0.733453239030 Henry Cohn, 2026, needs more optimization.
6 306 0.733857076403 Henry Cohn, 2026, needs more optimization.
6 307 0.734337897596 Henry Cohn, 2026, needs more optimization.
6 308 0.734490366599 Henry Cohn, 2026, needs more optimization.
6 309 0.734839795040 Henry Cohn, 2026, needs more optimization.
6 310 0.734984439312 Henry Cohn, 2026, needs more optimization.
6 311 0.735647377269 Henry Cohn, 2026, needs more optimization.
6 312 0.736466934690 Henry Cohn, 2026, needs more optimization.
6 313 0.736730526827 Henry Cohn, 2026, needs more optimization.
6 314 0.737283817280 Henry Cohn, 2026, needs more optimization.
6 315 0.737795174178 Henry Cohn, 2026, needs more optimization.
6 316 0.738121043754 Henry Cohn, 2026, needs more optimization.
6 317 0.738591889613 Henry Cohn, 2026, needs more optimization.
6 318 0.738920082353 Henry Cohn, 2026, needs more optimization.
6 319 0.739355171780 Henry Cohn, 2026, needs more optimization.
6 320 0.739819633211 Henry Cohn, 2026, needs more optimization.
6 321 0.740392538977 Henry Cohn, 2026, needs more optimization.
6 322 0.740718623472 Henry Cohn, 2026, needs more optimization.
6 323 0.741210649064 Henry Cohn, 2026, needs more optimization.
6 324 0.741483459662 Henry Cohn, 2026, needs more optimization.
6 325 0.742104555349 Henry Cohn, 2026, needs more optimization.
6 326 0.742386151341 Henry Cohn, 2026, needs more optimization.
6 327 0.742830477483 Henry Cohn, 2026, needs more optimization.
6 328 0.742903969411 Henry Cohn, 2026, needs more optimization.
6 329 0.743336991494 Henry Cohn, 2026, needs more optimization.
6 330 0.743703583645 Henry Cohn, 2026, needs more optimization.
6 331 0.744121710687 Henry Cohn, 2026, needs more optimization.
6 332 0.744375991885 Henry Cohn, 2026, needs more optimization.
6 333 0.744404242038 Henry Cohn, 2026, needs more optimization.
6 334 0.744692675043 Henry Cohn, 2026, needs more optimization.
6 335 0.745155880809 Henry Cohn, 2026, needs more optimization.
6 336 0.745795172280 Henry Cohn, 2026, needs more optimization.
6 337 0.746050970072 Henry Cohn, 2026, needs more optimization.
6 338 0.746536814343 Henry Cohn, 2026, needs more optimization.
6 339 0.746541491877 Henry Cohn, 2026, needs more optimization.
6 340 0.746547336451 Henry Cohn, 2026, needs more optimization.
6 341 0.746549803660 Henry Cohn, 2026, needs more optimization.
6 342 0.746555037918 Henry Cohn, 2026, needs more optimization.
6 343 0.748201884189 Henry Cohn, 2026, needs more optimization.
6 344 0.748891333107 Henry Cohn, 2026, needs more optimization.
6 345 0.749168886017 Henry Cohn, 2026, needs more optimization.
6 346 0.749361533116 Henry Cohn, 2026, needs more optimization.
6 347 0.749672574610 Henry Cohn, 2026, needs more optimization.
6 348 0.750060948395 Henry Cohn, 2026, needs more optimization.
6 349 0.750323250801 Henry Cohn, 2026, needs more optimization.
6 350 0.750535324476 Henry Cohn, 2026, needs more optimization.
6 351 0.750816019938 Henry Cohn, 2026, needs more optimization.
6 352 0.751191740261 Henry Cohn, 2026, needs more optimization.
6 353 0.751504887645 Henry Cohn, 2026, needs more optimization.
6 354 0.751707786348 Henry Cohn, 2026, needs more optimization.
6 355 0.751894156136 Henry Cohn, 2026, needs more optimization.
6 356 0.752154537872 Henry Cohn, 2026, needs more optimization.
6 357 0.752448097554 Henry Cohn, 2026, needs more optimization.
6 358 0.752900568948 Henry Cohn, 2026, needs more optimization.
6 359 0.753214276804 Henry Cohn, 2026, needs more optimization.
6 360 0.753274216061 Henry Cohn, 2026, needs more optimization.
6 361 0.753650202295 Henry Cohn, 2026, needs more optimization.
6 362 0.754031769301 Henry Cohn, 2026, needs more optimization.
6 363 0.754168977204 Henry Cohn, 2026, needs more optimization.
6 364 0.754580101249 Henry Cohn, 2026, needs more optimization.
6 365 0.754723912587 Henry Cohn, 2026, needs more optimization.
6 366 0.755029650646 Henry Cohn, 2026, needs more optimization.
6 367 0.755301316253 Henry Cohn, 2026, needs more optimization.
6 368 0.755542163633 Henry Cohn, 2026, needs more optimization.
6 369 0.755894589814 Henry Cohn, 2026, needs more optimization.
6 370 0.756118719032 Henry Cohn, 2026, needs more optimization.
6 371 0.756592177715 Henry Cohn, 2026, needs more optimization.
6 372 0.756705757096 Henry Cohn, 2026, needs more optimization.
6 373 0.757059140958 Henry Cohn, 2026, needs more optimization.
6 374 0.757272774101 Henry Cohn, 2026, needs more optimization.
6 375 0.757512995833 Henry Cohn, 2026, needs more optimization.
6 376 0.757929075038 Henry Cohn, 2026, needs more optimization.
6 377 0.758172774850 Henry Cohn, 2026, needs more optimization.
6 378 0.758514216569 Henry Cohn, 2026, needs more optimization.
6 379 0.758923938618 Henry Cohn, 2026, needs more optimization.
6 380 0.759281583124 Henry Cohn, 2026, needs more optimization.
6 381 0.759295176574 Henry Cohn, 2026, needs more optimization.
6 382 0.759559393866 Henry Cohn, 2026, needs more optimization.
6 383 0.759718174729 Henry Cohn, 2026, needs more optimization.
6 384 0.759898004510 Henry Cohn, 2026, needs more optimization.
6 385 0.760293656878 Henry Cohn, 2026, needs more optimization.
6 386 0.760400215118 Henry Cohn, 2026, needs more optimization.
6 387 0.760672040765 Henry Cohn, 2026, needs more optimization.
6 388 0.761100999541 Henry Cohn, 2026, needs more optimization.
6 389 0.761303824431 Henry Cohn, 2026, needs more optimization.
6 390 0.761726380620 Henry Cohn, 2026, needs more optimization.
6 391 0.761755861238 Henry Cohn, 2026, needs more optimization.
6 392 0.762102825448 Henry Cohn, 2026, needs more optimization.
6 393 0.762147143995 Henry Cohn, 2026, needs more optimization.
6 394 0.762396599736 Henry Cohn, 2026, needs more optimization.
6 395 0.762809034446 Henry Cohn, 2026, needs more optimization.
6 396 0.763162629545 Henry Cohn, 2026, needs more optimization.
6 397 0.763217850233 Henry Cohn, 2026, needs more optimization.
6 398 0.763520499997 Henry Cohn, 2026, needs more optimization.
6 399 0.763761972328 Henry Cohn, 2026, needs more optimization.
6 400 0.763882457610 Henry Cohn, 2026, needs more optimization.
6 401 0.764132139627 Henry Cohn, 2026, needs more optimization.
6 402 0.764333799311 Henry Cohn, 2026, needs more optimization.
6 403 0.764556582752 Henry Cohn, 2026, needs more optimization.
6 404 0.764898894612 Henry Cohn, 2026, needs more optimization.
6 405 0.765049128591 Henry Cohn, 2026, needs more optimization.
6 406 0.765263505329 Henry Cohn, 2026, needs more optimization.
6 407 0.765554826220 Henry Cohn, 2026, needs more optimization.
6 408 0.765775909805 Henry Cohn, 2026, needs more optimization.
6 409 0.765829600158 Henry Cohn, 2026, needs more optimization.
6 410 0.766020627989 Henry Cohn, 2026, needs more optimization.
6 411 0.766324822964 Henry Cohn, 2026, needs more optimization.
6 412 0.766592009183 Henry Cohn, 2026, needs more optimization.
6 413 0.766735858709 Henry Cohn, 2026, needs more optimization.
6 414 0.767055528732 Henry Cohn, 2026, needs more optimization.
6 415 0.767453337224 Henry Cohn, 2026, needs more optimization.
6 416 0.767453563639 Henry Cohn, 2026, needs more optimization.
6 417 0.768021085032 Henry Cohn, 2026, needs more optimization.
6 418 0.768199935388 Henry Cohn, 2026, needs more optimization.
6 419 0.768274791769 Henry Cohn, 2026, needs more optimization.
6 420 0.768687975042 Henry Cohn, 2026, needs more optimization.
6 421 0.768858524521 Henry Cohn, 2026, needs more optimization.
6 422 0.769113283949 Henry Cohn, 2026, needs more optimization.
6 423 0.769297309240 Henry Cohn, 2026, needs more optimization.
6 424 0.769578116790 Henry Cohn, 2026, needs more optimization.
6 425 0.769837120572 Henry Cohn, 2026, needs more optimization.
6 426 0.770096502708 Henry Cohn, 2026, needs more optimization.
6 427 0.770120117910 Henry Cohn, 2026, needs more optimization.
6 428 0.770408870333 Henry Cohn, 2026, needs more optimization.
6 429 0.770588698052 Henry Cohn, 2026, needs more optimization.
6 430 0.770828417919 Henry Cohn, 2026, needs more optimization.
6 431 0.770920793996 Henry Cohn, 2026, needs more optimization.
6 432 0.771066351283 Henry Cohn, 2026, needs more optimization.
6 433 0.771341584651 Henry Cohn, 2026, needs more optimization.
6 434 0.771483841260 Henry Cohn, 2026, needs more optimization.
6 435 0.771802823241 Henry Cohn, 2026, needs more optimization.
6 436 0.771860381347 Henry Cohn, 2026, needs more optimization.
6 437 0.771969751636 Henry Cohn, 2026, needs more optimization.
6 438 0.772157296800 Henry Cohn, 2026, needs more optimization.
6 439 0.772515947376 Henry Cohn, 2026, needs more optimization.
6 440 0.772637590500 Henry Cohn, 2026, needs more optimization.
6 441 0.772898097400 Henry Cohn, 2026, needs more optimization.
6 442 0.773087853306 Henry Cohn, 2026, needs more optimization.
6 443 0.773268287797 Henry Cohn, 2026, needs more optimization.
6 444 0.773409206995 Henry Cohn, 2026, needs more optimization.
6 445 0.773770603550 Henry Cohn, 2026, needs more optimization.
6 446 0.774046240111 Henry Cohn, 2026, needs more optimization.
6 447 0.774215621845 Henry Cohn, 2026, needs more optimization.
6 448 0.774388240793 Henry Cohn, 2026, needs more optimization.
6 449 0.774712506858 Henry Cohn, 2026, needs more optimization.
6 450 0.774862988811 Henry Cohn, 2026, needs more optimization.
6 451 0.775055564937 Henry Cohn, 2026, needs more optimization.
6 452 0.775208455237 Henry Cohn, 2026, needs more optimization.
6 453 0.775424075523 Henry Cohn, 2026, needs more optimization.
6 454 0.775479038425 Henry Cohn, 2026, needs more optimization.
6 455 0.775844165327 Henry Cohn, 2026, needs more optimization.
6 456 0.776060664897 Henry Cohn, 2026, needs more optimization.
6 457 0.776313546637 Henry Cohn, 2026, needs more optimization.
6 458 0.776420381249 Henry Cohn, 2026, needs more optimization.
6 459 0.776687627161 Henry Cohn, 2026, needs more optimization.
6 460 0.776745093291 Henry Cohn, 2026, needs more optimization.
6 461 0.776780094265 Henry Cohn, 2026, needs more optimization.
6 462 0.777135328440 Henry Cohn, 2026, needs more optimization.
6 463 0.777394616065 Henry Cohn, 2026, needs more optimization.
6 464 0.777455670869 Henry Cohn, 2026, needs more optimization.
6 465 0.777662727750 Henry Cohn, 2026, needs more optimization.
6 466 0.777930770805 Henry Cohn, 2026, needs more optimization.
6 467 0.778019507056 Henry Cohn, 2026, needs more optimization.
6 468 0.778280103721 Henry Cohn, 2026, needs more optimization.
6 469 0.778330003678 Henry Cohn, 2026, needs more optimization.
6 470 0.778720078851 Henry Cohn, 2026, needs more optimization.
6 471 0.778902499725 Henry Cohn, 2026, needs more optimization.
6 472 0.779173836777 Henry Cohn, 2026, needs more optimization.
6 473 0.779465988071 Henry Cohn, 2026, needs more optimization.
6 474 0.779641649223 Henry Cohn, 2026, needs more optimization.
6 475 0.779708004844 Henry Cohn, 2026, needs more optimization.
6 476 0.779727948625 Henry Cohn, 2026, needs more optimization.
6 477 0.779843815751 Henry Cohn, 2026, needs more optimization.
6 478 0.780130334333 Henry Cohn, 2026, needs more optimization.
6 479 0.780342317724 Henry Cohn, 2026, needs more optimization.
6 480 0.780545034946 Henry Cohn, 2026, needs more optimization.
6 481 0.780686685878 Henry Cohn, 2026, needs more optimization.
6 482 0.780895225659 Henry Cohn, 2026, needs more optimization.
6 483 0.781069937722 Henry Cohn, 2026, needs more optimization.
6 484 0.781409670662 Henry Cohn, 2026, needs more optimization.
6 485 0.781542059042 Henry Cohn, 2026, needs more optimization.
6 486 0.781656354076 Henry Cohn, 2026, needs more optimization.
6 487 0.781955186557 Henry Cohn, 2026, needs more optimization.
6 488 0.782125176279 Henry Cohn, 2026, needs more optimization.
6 489 0.782402692775 Henry Cohn, 2026, needs more optimization.
6 490 0.782442155310 Henry Cohn, 2026, needs more optimization.
6 491 0.782691923867 Henry Cohn, 2026, needs more optimization.
6 492 0.782819441053 Henry Cohn, 2026, needs more optimization.
6 493 0.783008722644 Henry Cohn, 2026, needs more optimization.
6 494 0.783255646370 Henry Cohn, 2026, needs more optimization.
6 495 0.783276270637 Henry Cohn, 2026, needs more optimization.
6 496 0.783452466414 Henry Cohn, 2026, needs more optimization.
6 497 0.783689175006 Henry Cohn, 2026, needs more optimization.
6 498 0.783834730914 Henry Cohn, 2026, needs more optimization.
6 499 0.783840268638 Henry Cohn, 2026, needs more optimization.
6 500 0.784063307666 Henry Cohn, 2026, needs more optimization.
6 501 0.784438894812 Henry Cohn, 2026, needs more optimization.
6 502 0.784671743159 Henry Cohn, 2026, needs more optimization.
6 503 0.784866032563 Henry Cohn, 2026, needs more optimization.
6 504 0.785008085126 Henry Cohn, 2026, needs more optimization.
6 505 0.785164869783 Henry Cohn, 2026, needs more optimization.
6 506 0.785344391654 Henry Cohn, 2026, needs more optimization.
6 507 0.785472442595 Henry Cohn, 2026, needs more optimization.
6 508 0.785637243880 Henry Cohn, 2026, needs more optimization.
6 509 0.785861965385 Henry Cohn, 2026, needs more optimization.
6 510 0.786018301747 Henry Cohn, 2026, needs more optimization.
6 511 0.786277035328 Henry Cohn, 2026, needs more optimization.
6 512 0.786295755935 Henry Cohn, 2026, needs more optimization.
6 513 0.786401187400 Henry Cohn, 2026, needs more optimization.
6 514 0.786565932908 Henry Cohn, 2026, needs more optimization.
6 515 0.786632675617 Henry Cohn, 2026, needs more optimization.
6 516 0.786774134764 Henry Cohn, 2026, needs more optimization.
6 517 0.786995921059 Henry Cohn, 2026, needs more optimization.
6 518 0.787265167595 Henry Cohn, 2026, needs more optimization.
6 519 0.787280566016 Henry Cohn, 2026, needs more optimization.
6 520 0.787429420777 Henry Cohn, 2026, needs more optimization.
6 521 0.787664156542 Henry Cohn, 2026, needs more optimization.
6 522 0.787796414268 Henry Cohn, 2026, needs more optimization.
6 523 0.788007844184 Henry Cohn, 2026, needs more optimization.
6 524 0.788239942806 Henry Cohn, 2026, needs more optimization.
6 525 0.788430615836 Henry Cohn, 2026, needs more optimization.
6 526 0.788563356648 Henry Cohn, 2026, needs more optimization.
6 527 0.788866850122 Henry Cohn, 2026, needs more optimization.
6 528 0.788917293079 Henry Cohn, 2026, needs more optimization.
6 529 0.789114115603 Henry Cohn, 2026, needs more optimization.
6 530 0.789223788631 Henry Cohn, 2026, needs more optimization.
6 531 0.789405100956 Henry Cohn, 2026, needs more optimization.
6 532 0.789542137030 Henry Cohn, 2026, needs more optimization.
6 533 0.789724913108 Henry Cohn, 2026, needs more optimization.
6 534 0.789756534569 Henry Cohn, 2026, needs more optimization.
6 535 0.790016616424 Henry Cohn, 2026, needs more optimization.
6 536 0.790056176579 Henry Cohn, 2026, needs more optimization.
6 537 0.790290165495 Henry Cohn, 2026, needs more optimization.
6 538 0.790475594576 Henry Cohn, 2026, needs more optimization.
6 539 0.790492302642 Henry Cohn, 2026, needs more optimization.
6 540 0.790696213623 Henry Cohn, 2026, needs more optimization.
6 541 0.790876789700 Henry Cohn, 2026, needs more optimization.
6 542 0.790903548669 Henry Cohn, 2026, needs more optimization.
6 543 0.791092272958 Henry Cohn, 2026, needs more optimization.
6 544 0.791287115448 Henry Cohn, 2026, needs more optimization.
6 545 0.791481068985 Henry Cohn, 2026, needs more optimization.
6 546 0.791753545633 Henry Cohn, 2026, needs more optimization.
6 547 0.791796960377 Henry Cohn, 2026, needs more optimization.
6 548 0.791971359527 Henry Cohn, 2026, needs more optimization.
6 549 0.792112157531 Henry Cohn, 2026, needs more optimization.
6 550 0.792218721624 Henry Cohn, 2026, needs more optimization.
6 551 0.792458487621 Henry Cohn, 2026, needs more optimization.
6 552 0.792559398781 Henry Cohn, 2026, needs more optimization.
6 553 0.792703855234 Henry Cohn, 2026, needs more optimization.
6 554 0.792867520114 Henry Cohn, 2026, needs more optimization.
6 555 0.793005145932 Henry Cohn, 2026, needs more optimization.
6 556 0.793260480914 Henry Cohn, 2026, needs more optimization.
6 557 0.793312140510 Henry Cohn, 2026, needs more optimization.
6 558 0.793371007931 Henry Cohn, 2026, needs more optimization.
6 559 0.793487847898 Henry Cohn, 2026, needs more optimization.
6 560 0.793735195042 Henry Cohn, 2026, needs more optimization.
6 561 0.793990401379 Henry Cohn, 2026, needs more optimization.
6 562 0.793992817237 Henry Cohn, 2026, needs more optimization.
6 563 0.794218713763 Henry Cohn, 2026, needs more optimization.
6 564 0.794224596388 Henry Cohn, 2026, needs more optimization.
6 565 0.794448333922 Henry Cohn, 2026, needs more optimization.
6 566 0.794613065875 Henry Cohn, 2026, needs more optimization.
6 567 0.794774451140 Henry Cohn, 2026, needs more optimization.
6 568 0.795013083913 Henry Cohn, 2026, needs more optimization.
6 569 0.795031839511 Henry Cohn, 2026, needs more optimization.
6 570 0.795151837805 Henry Cohn, 2026, needs more optimization.
6 571 0.795223908998 Henry Cohn, 2026, needs more optimization.
6 572 0.795372771386 Henry Cohn, 2026, needs more optimization.
6 573 0.795571972555 Henry Cohn, 2026, needs more optimization.
6 574 0.795655273823 Henry Cohn, 2026, needs more optimization.
6 575 0.795873428570 Henry Cohn, 2026, needs more optimization.
6 576 0.796074560334 Henry Cohn, 2026, needs more optimization.
6 577 0.796191356699 Henry Cohn, 2026, needs more optimization.
6 578 0.796325011237 Henry Cohn, 2026, needs more optimization.
6 579 0.796570728545 Henry Cohn, 2026, needs more optimization.
6 580 0.796704159619 Henry Cohn, 2026, needs more optimization.
6 581 0.796752086725 Henry Cohn, 2026, needs more optimization.
6 582 0.796935882925 Henry Cohn, 2026, needs more optimization.
6 583 0.797063436301 Henry Cohn, 2026, needs more optimization.
6 584 0.797348267808 Henry Cohn, 2026, needs more optimization.
6 585 0.797376426898 Henry Cohn, 2026, needs more optimization.
6 586 0.797377743084 Henry Cohn, 2026, needs more optimization.
6 587 0.797506987435 Henry Cohn, 2026, needs more optimization.
6 588 0.797679764315 Henry Cohn, 2026, needs more optimization.
6 589 0.797817955639 Henry Cohn, 2026, needs more optimization.
6 590 0.797910961464 Henry Cohn, 2026, needs more optimization.
6 591 0.798112610204 Henry Cohn, 2026, needs more optimization.
6 592 0.798368014467 Henry Cohn, 2026, needs more optimization.
6 593 0.798457305356 Henry Cohn, 2026, needs more optimization.
6 594 0.798644428869 Henry Cohn, 2026, needs more optimization.
6 595 0.798783253710 Henry Cohn, 2026, needs more optimization.
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6 600 0.799532951958 Henry Cohn, 2026, needs more optimization.
6 601 0.799659059926 Henry Cohn, 2026, needs more optimization.
6 602 0.799772695297 Henry Cohn, 2026, needs more optimization.
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6 604 0.800058994601 Henry Cohn, 2026, needs more optimization.
6 605 0.800201414435 Henry Cohn, 2026, needs more optimization.
6 606 0.800211141869 Henry Cohn, 2026, needs more optimization.
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6 608 0.800480566147 Henry Cohn, 2026, needs more optimization.
6 609 0.800619524515 Henry Cohn, 2026, needs more optimization.
6 610 0.800759332092 Henry Cohn, 2026, needs more optimization.
6 611 0.800997670354 Henry Cohn, 2026, needs more optimization.
6 612 0.801126105109 Henry Cohn, 2026, needs more optimization.
6 613 0.801159500271 Henry Cohn, 2026, needs more optimization.
6 614 0.801441492199 Henry Cohn, 2026, needs more optimization.
6 615 0.801480624681 Henry Cohn, 2026, needs more optimization.
6 616 0.801642748850 Henry Cohn, 2026, needs more optimization.
6 617 0.801644803207 Henry Cohn, 2026, needs more optimization.
6 618 0.801781282967 Henry Cohn, 2026, needs more optimization.
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6 620 0.801962574104 Henry Cohn, 2026, needs more optimization.
6 621 0.802156060272 Henry Cohn, 2026, needs more optimization.
6 622 0.802419341167 Henry Cohn, 2026, needs more optimization.
6 623 0.802560434656 Henry Cohn, 2026, needs more optimization.
6 624 0.802573927832 Henry Cohn, 2026, needs more optimization.
6 625 0.802699866125 Henry Cohn, 2026, needs more optimization.
6 626 0.802893393656 Henry Cohn, 2026, needs more optimization.
6 627 0.802912421939 Henry Cohn, 2026, needs more optimization.
6 628 0.803000221131 Henry Cohn, 2026, needs more optimization.
6 629 0.803182243014 Henry Cohn, 2026, needs more optimization.
6 630 0.803288422137 Henry Cohn, 2026, needs more optimization.
6 631 0.803407353644 Henry Cohn, 2026, needs more optimization.
6 632 0.803552114250 Henry Cohn, 2026, needs more optimization.
6 633 0.803753349232 Henry Cohn, 2026, needs more optimization.
6 634 0.803973339830 Henry Cohn, 2026, needs more optimization.
6 635 0.803986683661 Henry Cohn, 2026, needs more optimization.
6 636 0.804077378734 Henry Cohn, 2026, needs more optimization.
6 637 0.804212136850 Henry Cohn, 2026, needs more optimization.
6 638 0.804378863216 Henry Cohn, 2026, needs more optimization.
6 639 0.804379976100 Henry Cohn, 2026, needs more optimization.
6 640 0.804597148877 Henry Cohn, 2026, needs more optimization.
6 641 0.804604514622 Henry Cohn, 2026, needs more optimization.
6 642 0.804663354286 Henry Cohn, 2026, needs more optimization.
6 643 0.804774233105 Henry Cohn, 2026, needs more optimization.
6 644 0.804939602337 Henry Cohn, 2026, needs more optimization.
6 645 0.805177460488 Henry Cohn, 2026, needs more optimization.
6 646 0.805262369147 Henry Cohn, 2026, needs more optimization.
6 647 0.805428747545 Henry Cohn, 2026, needs more optimization.
6 648 0.805450021575 Henry Cohn, 2026, needs more optimization.
6 649 0.805546606817 Henry Cohn, 2026, needs more optimization.
6 650 0.805651889553 Henry Cohn, 2026, needs more optimization.
6 651 0.805794278026 Henry Cohn, 2026, needs more optimization.
6 652 0.805921625922 Henry Cohn, 2026, needs more optimization.
6 653 0.806067283272 Henry Cohn, 2026, needs more optimization.
6 654 0.806182571808 Henry Cohn, 2026, needs more optimization.
6 655 0.806367669101 Henry Cohn, 2026, needs more optimization.
6 656 0.806396132256 Henry Cohn, 2026, needs more optimization.
6 657 0.806530941965 Henry Cohn, 2026, needs more optimization.
6 658 0.806594459409 Henry Cohn, 2026, needs more optimization.
6 659 0.806708952372 Henry Cohn, 2026, needs more optimization.
6 660 0.806749828954 Henry Cohn, 2026, needs more optimization.
6 661 0.806892213390 Henry Cohn, 2026, needs more optimization.
6 662 0.807082272168 Henry Cohn, 2026, needs more optimization.
6 663 0.807251324391 Henry Cohn, 2026, needs more optimization.
6 664 0.807283173696 Henry Cohn, 2026, needs more optimization.
6 665 0.807559602055 Henry Cohn, 2026, needs more optimization.
6 666 0.807579107987 Henry Cohn, 2026, needs more optimization.
6 667 0.807738978346 Henry Cohn, 2026, needs more optimization.
6 668 0.807777511671 Henry Cohn, 2026, needs more optimization.
6 669 0.807819654501 Henry Cohn, 2026, needs more optimization.
6 670 0.807890879158 Henry Cohn, 2026, needs more optimization.
6 671 0.808064277742 Henry Cohn, 2026, needs more optimization.
6 672 0.808129153192 Henry Cohn, 2026, needs more optimization.
6 673 0.808284940803 Henry Cohn, 2026, needs more optimization.
6 674 0.808454519567 Henry Cohn, 2026, needs more optimization.
6 675 0.808542991675 Henry Cohn, 2026, needs more optimization.
6 676 0.808752287550 Henry Cohn, 2026, needs more optimization.
6 677 0.808925707628 Henry Cohn, 2026, needs more optimization.
6 678 0.808977706574 Henry Cohn, 2026, needs more optimization.
6 679 0.809096376411 Henry Cohn, 2026, needs more optimization.
6 680 0.809198116698 Henry Cohn, 2026, needs more optimization.
6 681 0.809367637352 Henry Cohn, 2026, needs more optimization.
6 682 0.809508626614 Henry Cohn, 2026, needs more optimization.
6 683 0.809570668498 Henry Cohn, 2026, needs more optimization.
6 684 0.809704106880 Henry Cohn, 2026, needs more optimization.
6 685 0.809808201682 Henry Cohn, 2026, needs more optimization.
6 686 0.809902131611 Henry Cohn, 2026, needs more optimization.
6 687 0.809947579949 Henry Cohn, 2026, needs more optimization.
6 688 0.810112522859 Henry Cohn, 2026, needs more optimization.
6 689 0.810278502678 Henry Cohn, 2026, needs more optimization.
6 690 0.810364948524 Henry Cohn, 2026, needs more optimization.
6 691 0.810468731496 Henry Cohn, 2026, needs more optimization.
6 692 0.810571723403 Henry Cohn, 2026, needs more optimization.
6 693 0.810669503501 Henry Cohn, 2026, needs more optimization.
6 694 0.810847956486 Henry Cohn, 2026, needs more optimization.
6 695 0.810853827815 Henry Cohn, 2026, needs more optimization.
6 696 0.811064084873 Henry Cohn, 2026, needs more optimization.
6 697 0.811156273168 Henry Cohn, 2026, needs more optimization.
6 698 0.811429177456 Henry Cohn, 2026, needs more optimization.
6 699 0.811547782021 Henry Cohn, 2026, needs more optimization.
6 700 0.811670329080 Henry Cohn, 2026, needs more optimization.
6 701 0.811691346972 Henry Cohn, 2026, needs more optimization.
6 702 0.811744646564 Henry Cohn, 2026, needs more optimization.
6 703 0.811871037491 Henry Cohn, 2026, needs more optimization.
6 704 0.811886746082 Henry Cohn, 2026, needs more optimization.
6 705 0.811969785092 Henry Cohn, 2026, needs more optimization.
6 706 0.812131611846 Henry Cohn, 2026, needs more optimization.
6 707 0.812328454280 Henry Cohn, 2026, needs more optimization.
6 708 0.812446310863 Henry Cohn, 2026, needs more optimization.
6 709 0.812552271971 Henry Cohn, 2026, needs more optimization.
6 710 0.812663021200 Henry Cohn, 2026, needs more optimization.
6 711 0.812742615577 Henry Cohn, 2026, needs more optimization.
6 712 0.812903351285 Henry Cohn, 2026, needs more optimization.
6 713 0.813006663453 Henry Cohn, 2026, needs more optimization.
6 714 0.813147876461 Henry Cohn, 2026, needs more optimization.
6 715 0.813300151519 Henry Cohn, 2026, needs more optimization.
6 716 0.813305469170 Henry Cohn, 2026, needs more optimization.
6 717 0.813333789668 Henry Cohn, 2026, needs more optimization.
6 718 0.813476642191 Henry Cohn, 2026, needs more optimization.
6 719 0.813614065858 Henry Cohn, 2026, needs more optimization.
6 720 0.813659549123 Henry Cohn, 2026, needs more optimization.
6 721 0.813809040284 Henry Cohn, 2026, needs more optimization.
6 722 0.813939613131 Henry Cohn, 2026, needs more optimization.
6 723 0.813954658899 Henry Cohn, 2026, needs more optimization.
6 724 0.814055415604 Henry Cohn, 2026, needs more optimization.
6 725 0.814197801452 Henry Cohn, 2026, needs more optimization.
6 726 0.814314904355 Henry Cohn, 2026, needs more optimization.
6 727 0.814485974288 Henry Cohn, 2026, needs more optimization.
6 728 0.814495027421 Henry Cohn, 2026, needs more optimization.
6 729 0.814545506773 Henry Cohn, 2026, needs more optimization.
6 730 0.814683857260 Henry Cohn, 2026, needs more optimization.
6 731 0.814841837409 Henry Cohn, 2026, needs more optimization.
6 732 0.814847010319 Henry Cohn, 2026, needs more optimization.
6 733 0.814911432763 Henry Cohn, 2026, needs more optimization.
6 734 0.815065905746 Henry Cohn, 2026, needs more optimization.
6 735 0.815092997323 Henry Cohn, 2026, needs more optimization.
6 736 0.815200603988 Henry Cohn, 2026, needs more optimization.
6 737 0.815345989597 Henry Cohn, 2026, needs more optimization.
6 738 0.815534934608 Henry Cohn, 2026, needs more optimization.
6 739 0.815622476583 Henry Cohn, 2026, needs more optimization.
6 740 0.815758275982 Henry Cohn, 2026, needs more optimization.
6 741 0.815871403278 Henry Cohn, 2026, needs more optimization.
6 742 0.816007512473 Henry Cohn, 2026, needs more optimization.
6 743 0.816027645310 Henry Cohn, 2026, needs more optimization.
6 744 0.816066870459 Henry Cohn, 2026, needs more optimization.
6 745 0.816201629294 Henry Cohn, 2026, needs more optimization.
6 746 0.816297993378 Henry Cohn, 2026, needs more optimization.
6 747 0.816512875170 Henry Cohn, 2026, needs more optimization.
6 748 0.816584597349 Henry Cohn, 2026, needs more optimization.
6 749 0.816587259654 Henry Cohn, 2026, needs more optimization.
6 750 0.816803024287 Henry Cohn, 2026, needs more optimization.
6 751 0.816947440795 Henry Cohn, 2026, needs more optimization.
6 752 0.816969666874 Henry Cohn, 2026, needs more optimization.
6 753 0.817115293678 Henry Cohn, 2026, needs more optimization.
6 754 0.817236492560 Henry Cohn, 2026, needs more optimization.
6 755 0.817239422131 Henry Cohn, 2026, needs more optimization.
6 756 0.817374431775 Henry Cohn, 2026, needs more optimization.
6 757 0.817456014607 Henry Cohn, 2026, needs more optimization.
6 758 0.817487183232 Henry Cohn, 2026, needs more optimization.
6 759 0.817672949445 Henry Cohn, 2026, needs more optimization.
6 760 0.817688168039 Henry Cohn, 2026, needs more optimization.
6 761 0.817731857524 Henry Cohn, 2026, needs more optimization.
6 762 0.817911446862 Henry Cohn, 2026, needs more optimization.
6 763 0.818092921843 Henry Cohn, 2026, needs more optimization.
6 764 0.818166581385 Henry Cohn, 2026, needs more optimization.
6 765 0.818293488971 Henry Cohn, 2026, needs more optimization.
6 766 0.818338455686 Henry Cohn, 2026, needs more optimization.
6 767 0.818383263920 Henry Cohn, 2026, needs more optimization.
6 768 0.818552627643 Henry Cohn, 2026, needs more optimization.
6 769 0.818615338471 Henry Cohn, 2026, needs more optimization.
6 770 0.818796832138 Henry Cohn, 2026, needs more optimization.
6 771 0.818812116047 Henry Cohn, 2026, needs more optimization.
6 772 0.818896151889 Henry Cohn, 2026, needs more optimization.
6 773 0.818931175650 Henry Cohn, 2026, needs more optimization.
6 774 0.819065937455 Henry Cohn, 2026, needs more optimization.
6 775 0.819098600137 Henry Cohn, 2026, needs more optimization.
6 776 0.819230562160 Henry Cohn, 2026, needs more optimization.
6 777 0.819287384059 Henry Cohn, 2026, needs more optimization.
6 778 0.819461350102 Henry Cohn, 2026, needs more optimization.
6 779 0.819542726703 Henry Cohn, 2026, needs more optimization.
6 780 0.819640839302 Henry Cohn, 2026, needs more optimization.
6 781 0.819688365986 Henry Cohn, 2026, needs more optimization.
6 782 0.819716644983 Henry Cohn, 2026, needs more optimization.
6 783 0.819821775822 Henry Cohn, 2026, needs more optimization.
6 784 0.819931911228 Henry Cohn, 2026, needs more optimization.
6 785 0.819971968081 Henry Cohn, 2026, needs more optimization.
6 786 0.820158155323 Henry Cohn, 2026, needs more optimization.
6 787 0.820173611771 Henry Cohn, 2026, needs more optimization.
6 788 0.820326955479 Henry Cohn, 2026, needs more optimization.
6 789 0.820411871484 Henry Cohn, 2026, needs more optimization.
6 790 0.820514552678 Henry Cohn, 2026, needs more optimization.
6 791 0.820568605513 Henry Cohn, 2026, needs more optimization.
6 792 0.820775836196 Henry Cohn, 2026, needs more optimization.
6 793 0.820778759801 Henry Cohn, 2026, needs more optimization.
6 794 0.820978158436 Henry Cohn, 2026, needs more optimization.
6 795 0.820987979716 Henry Cohn, 2026, needs more optimization.
6 796 0.820994666045 Henry Cohn, 2026, needs more optimization.
6 797 0.821049021832 Henry Cohn, 2026, needs more optimization.
6 798 0.821151953501 Henry Cohn, 2026, needs more optimization.
6 799 0.821261640917 Henry Cohn, 2026, needs more optimization.
6 800 0.821416058917 Henry Cohn, 2026, needs more optimization.
6 801 0.821558919989 Henry Cohn, 2026, needs more optimization.
6 802 0.821661314708 Henry Cohn, 2026, needs more optimization.
6 803 0.821705464654 Henry Cohn, 2026, needs more optimization.
6 804 0.821736324408 Henry Cohn, 2026, needs more optimization.
6 805 0.821802712871 Henry Cohn, 2026, needs more optimization.
6 806 0.821882227176 Henry Cohn, 2026, needs more optimization.
6 807 0.821936338988 Henry Cohn, 2026, needs more optimization.
6 808 0.821974512631 Henry Cohn, 2026, needs more optimization.
6 809 0.822127457510 Henry Cohn, 2026, needs more optimization.
6 810 0.822291607907 Henry Cohn, 2026, needs more optimization.
6 811 0.822348947535 Henry Cohn, 2026, needs more optimization.
6 812 0.822487259411 Henry Cohn, 2026, needs more optimization.
6 813 0.822637439397 Henry Cohn, 2026, needs more optimization.
6 814 0.822685556204 Henry Cohn, 2026, needs more optimization.
6 815 0.822761206846 Henry Cohn, 2026, needs more optimization.
6 816 0.822790876265 Henry Cohn, 2026, needs more optimization.
6 817 0.822972255771 Henry Cohn, 2026, needs more optimization.
6 818 0.823013950493 Henry Cohn, 2026, needs more optimization.
6 819 0.823125141501 Henry Cohn, 2026, needs more optimization.
6 820 0.823159241627 Henry Cohn, 2026, needs more optimization.
6 821 0.823312274863 Henry Cohn, 2026, needs more optimization.
6 822 0.823434435257 Henry Cohn, 2026, needs more optimization.
6 823 0.823638116352 Henry Cohn, 2026, needs more optimization.
6 824 0.823638845073 Henry Cohn, 2026, needs more optimization.
6 825 0.823712893978 Henry Cohn, 2026, needs more optimization.
6 826 0.823852121537 Henry Cohn, 2026, needs more optimization.
6 827 0.823990339779 Henry Cohn, 2026, needs more optimization.
6 828 0.823992376516 Henry Cohn, 2026, needs more optimization.
6 829 0.824033757807 Henry Cohn, 2026, needs more optimization.
6 830 0.824123610140 Henry Cohn, 2026, needs more optimization.
6 831 0.824246271185 Henry Cohn, 2026, needs more optimization.
6 832 0.824308149002 Henry Cohn, 2026, needs more optimization.
6 833 0.824353765954 Henry Cohn, 2026, needs more optimization.
6 834 0.824456818846 Henry Cohn, 2026, needs more optimization.
6 835 0.824517602004 Henry Cohn, 2026, needs more optimization.
6 836 0.824526858586 Henry Cohn, 2026, needs more optimization.
6 837 0.824643997553 Henry Cohn, 2026, needs more optimization.
6 838 0.824728342874 Henry Cohn, 2026, needs more optimization.
6 839 0.824872565544 Henry Cohn, 2026, needs more optimization.
6 840 0.824901889210 Henry Cohn, 2026, needs more optimization.
6 841 0.824990879863 Henry Cohn, 2026, needs more optimization.
6 842 0.825097369021 Henry Cohn, 2026, needs more optimization.
6 843 0.825138920100 Henry Cohn, 2026, needs more optimization.
6 844 0.825311743483 Henry Cohn, 2026, needs more optimization.
6 845 0.825392056106 Henry Cohn, 2026, needs more optimization.
6 846 0.825551826524 Henry Cohn, 2026, needs more optimization.
6 847 0.825559332691 Henry Cohn, 2026, needs more optimization.
6 848 0.825579565580 Henry Cohn, 2026, needs more optimization.
6 849 0.825776128271 Henry Cohn, 2026, needs more optimization.
6 850 0.825858102576 Henry Cohn, 2026, needs more optimization.
6 851 0.825861601414 Henry Cohn, 2026, needs more optimization.
6 852 0.825999912338 Henry Cohn, 2026, needs more optimization.
6 853 0.826136733685 Henry Cohn, 2026, needs more optimization.
6 854 0.826225834907 Henry Cohn, 2026, needs more optimization.
6 855 0.826390928952 Henry Cohn, 2026, needs more optimization.
6 856 0.826411182516 Henry Cohn, 2026, needs more optimization.
6 857 0.826505798595 Henry Cohn, 2026, needs more optimization.
6 858 0.826629297218 Henry Cohn, 2026, needs more optimization.
6 861 0.826645890904 Henry Cohn, 2026, needs more optimization.
6 862 0.826729577903 Henry Cohn, 2026, needs more optimization.
6 863 0.826887239456 Henry Cohn, 2026, needs more optimization.
6 864 0.827020923766 Henry Cohn, 2026, needs more optimization.
6 865 0.827027903219 Henry Cohn, 2026, needs more optimization.
6 866 0.827202971293 Henry Cohn, 2026, needs more optimization.
6 867 0.827216372303 Henry Cohn, 2026, needs more optimization.
6 868 0.827221508953 Henry Cohn, 2026, needs more optimization.
6 869 0.827343221556 Henry Cohn, 2026, needs more optimization.
6 870 0.827552284387 Henry Cohn, 2026, needs more optimization.
6 871 0.827556475960 Henry Cohn, 2026, needs more optimization.
6 872 0.827560618580 Henry Cohn, 2026, needs more optimization.
6 873 0.827649592398 Henry Cohn, 2026, needs more optimization.
6 874 0.827655773113 Henry Cohn, 2026, needs more optimization.
6 875 0.827658841985 Henry Cohn, 2026, needs more optimization.
6 876 0.827668006452 Henry Cohn, 2026, needs more optimization.
6 877 0.827817600456 Henry Cohn, 2026, needs more optimization.
6 878 0.827861996880 Henry Cohn, 2026, needs more optimization.
6 879 0.827882905454 Henry Cohn, 2026, needs more optimization.
6 880 0.827915493358 Henry Cohn, 2026, needs more optimization.
6 881 0.827975193149 Henry Cohn, 2026, needs more optimization.
6 882 0.827999719926 Henry Cohn, 2026, needs more optimization.
6 883 0.828017808689 Henry Cohn, 2026, needs more optimization.
6 884 0.828085005428 Henry Cohn, 2026, needs more optimization.
6 885 0.828312770561 Henry Cohn, 2026, needs more optimization.
6 886 0.828351988249 Henry Cohn, 2026, needs more optimization.
6 887 0.828417736342 Henry Cohn, 2026, needs more optimization.
6 888 0.828456880997 Henry Cohn, 2026, needs more optimization.
6 889 0.828554965552 Henry Cohn, 2026, needs more optimization.
6 890 0.828588225278 Henry Cohn, 2026, needs more optimization.
6 891 0.828610517074 Henry Cohn, 2026, needs more optimization.
6 892 0.828747721669 Henry Cohn, 2026, needs more optimization.
6 893 0.828778977478 Henry Cohn, 2026, needs more optimization.
6 894 0.828849794669 Henry Cohn, 2026, needs more optimization.
6 895 0.828850349149 Henry Cohn, 2026, needs more optimization.
6 896 0.828935290412 Henry Cohn, 2026, needs more optimization.
6 897 0.828970212767 Henry Cohn, 2026, needs more optimization.
6 898 0.829078147056 Henry Cohn, 2026, needs more optimization.
6 899 0.829084537985 Henry Cohn, 2026, needs more optimization.
6 900 0.829105028604 Henry Cohn, 2026, needs more optimization.
6 901 0.829305152330 Henry Cohn, 2026, needs more optimization.
6 902 0.829321671632 Henry Cohn, 2026, needs more optimization.
6 903 0.829432105092 Henry Cohn, 2026, needs more optimization.
6 904 0.829516908682 Henry Cohn, 2026, needs more optimization.
6 905 0.829605755030 Henry Cohn, 2026, needs more optimization.
6 906 0.829653991427 Henry Cohn, 2026, needs more optimization.
6 908 0.829782733599 Henry Cohn, 2026, needs more optimization.
6 909 0.829896422658 Henry Cohn, 2026, needs more optimization.
6 910 0.829941888558 Henry Cohn, 2026, needs more optimization.
6 911 0.829948311700 Henry Cohn, 2026, needs more optimization.
6 912 0.830009466703 Henry Cohn, 2026, needs more optimization.
6 913 0.830070201332 Henry Cohn, 2026, needs more optimization.
6 914 0.830156317612 Henry Cohn, 2026, needs more optimization.
6 915 0.830452171060 Henry Cohn, 2026, needs more optimization.
6 916 0.830455482755 Henry Cohn, 2026, needs more optimization.
6 917 0.830456304380 Henry Cohn, 2026, needs more optimization.
6 918 0.830464965716 Henry Cohn, 2026, needs more optimization.
6 919 0.830488959992 Henry Cohn, 2026, needs more optimization.
6 920 0.830603623418 Henry Cohn, 2026, needs more optimization.
6 921 0.830624300022 Henry Cohn, 2026, needs more optimization.
6 922 0.830627122257 Henry Cohn, 2026, needs more optimization.
6 923 0.830743088941 Henry Cohn, 2026, needs more optimization.
6 924 0.830749287862 Henry Cohn, 2026, needs more optimization.
6 925 0.830775315970 Henry Cohn, 2026, needs more optimization.
6 926 0.830846893427 Henry Cohn, 2026, needs more optimization.
6 927 0.831056921535 Henry Cohn, 2026, needs more optimization.
6 928 0.831082666609 Henry Cohn, 2026, needs more optimization.
6 929 0.831186060208 Henry Cohn, 2026, needs more optimization.
6 930 0.831220785576 Henry Cohn, 2026, needs more optimization.
6 931 0.831286658363 Henry Cohn, 2026, needs more optimization.
6 932 0.831290970596 Henry Cohn, 2026, needs more optimization.
6 933 0.831292729494 Henry Cohn, 2026, needs more optimization.
6 934 0.831294431772 Henry Cohn, 2026, needs more optimization.
6 935 0.831328004617 Henry Cohn, 2026, needs more optimization.
6 936 0.831349170871 Henry Cohn, 2026, needs more optimization.
6 937 0.831406725033 Henry Cohn, 2026, needs more optimization.
6 938 0.831436391064 Henry Cohn, 2026, needs more optimization.
6 939 0.831694079386 Henry Cohn, 2026, needs more optimization.
6 940 0.831696232943 Henry Cohn, 2026, needs more optimization.
6 941 0.831698052736 Henry Cohn, 2026, needs more optimization.
6 942 0.831751060298 Henry Cohn, 2026, needs more optimization.
6 943 0.831776686214 Henry Cohn, 2026, needs more optimization.
6 944 0.831886952242 Henry Cohn, 2026, needs more optimization.
6 945 0.831891045114 Henry Cohn, 2026, needs more optimization.
6 946 0.831908492153 Henry Cohn, 2026, needs more optimization.
6 947 0.831956930430 Henry Cohn, 2026, needs more optimization.
6 948 0.832014328970 Henry Cohn, 2026, needs more optimization.
6 949 0.832053457017 Henry Cohn, 2026, needs more optimization.
6 950 0.832055507787 Henry Cohn, 2026, needs more optimization.
6 951 0.832160617480 Henry Cohn, 2026, needs more optimization.
6 952 0.832209113285 Henry Cohn, 2026, needs more optimization.
6 953 0.832210930344 Henry Cohn, 2026, needs more optimization.
6 954 0.832226933804 Henry Cohn, 2026, needs more optimization.
6 955 0.832299517137 Henry Cohn, 2026, needs more optimization.
6 956 0.832312309808 Henry Cohn, 2026, needs more optimization.
6 957 0.832314999494 Henry Cohn, 2026, needs more optimization.
6 958 0.832325737549 Henry Cohn, 2026, needs more optimization.
6 959 0.832422505951 Henry Cohn, 2026, needs more optimization.
6 960 0.832467122111 Henry Cohn, 2026, needs more optimization.
6 961 0.832485912198 Henry Cohn, 2026, needs more optimization.
6 962 0.832515237730 Henry Cohn, 2026, needs more optimization.
6 963 0.832570030124 Henry Cohn, 2026, needs more optimization.
6 964 0.832630611363 Henry Cohn, 2026, needs more optimization.
6 965 0.832704231345 Henry Cohn, 2026, needs more optimization.
6 966 0.832726388743 Henry Cohn, 2026, needs more optimization.
6 967 0.832757814052 Henry Cohn, 2026, needs more optimization.
6 968 0.832826293921 Henry Cohn, 2026, needs more optimization.
6 969 0.832839719933 Henry Cohn, 2026, needs more optimization.
6 970 0.832870925150 Henry Cohn, 2026, needs more optimization.
6 971 0.832879367323 Henry Cohn, 2026, needs more optimization.
6 973 0.832886961281 Henry Cohn, 2026, needs more optimization.
6 974 0.832900829354 Henry Cohn, 2026, needs more optimization.
6 975 0.832990278007 Henry Cohn, 2026, needs more optimization.
6 976 0.833013698817 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 1002 0.833333333334 Henry Cohn, 2026.
6⁢x−5
6 1003 0.835124390894 Henry Cohn, 2026, needs more optimization.
6 1004 0.836195962617 Henry Cohn, 2026, needs more optimization.
6 1005 0.836793185289 Henry Cohn, 2026, needs more optimization.
6 1006 0.837254095732 Henry Cohn, 2026, needs more optimization.
6 1007 0.837326232619 Henry Cohn, 2026, needs more optimization.
6 1008 0.837393643211 Henry Cohn, 2026, needs more optimization.
6 1009 0.837502723603 Henry Cohn, 2026, needs more optimization.
6 1010 0.837621948181 Henry Cohn, 2026, needs more optimization.
6 1011 0.837640585252 Henry Cohn, 2026, needs more optimization.
6 1012 0.837645667890 Henry Cohn, 2026, needs more optimization.
6 1013 0.837788745013 Henry Cohn, 2026, needs more optimization.
6 1014 0.837809886773 Henry Cohn, 2026, needs more optimization.
6 1015 0.837912866088 Henry Cohn, 2026, needs more optimization.
6 1016 0.837925177938 Henry Cohn, 2026, needs more optimization.
6 1017 0.837934642909 Henry Cohn, 2026, needs more optimization.
6 1018 0.838088425904 Henry Cohn, 2026, needs more optimization.
6 1019 0.838124889937 Henry Cohn, 2026, needs more optimization.
6 1020 0.838323318397 Henry Cohn, 2026, needs more optimization.
6 1021 0.838338012976 Henry Cohn, 2026, needs more optimization.
6 1022 0.838390877662 Henry Cohn, 2026, needs more optimization.
6 1023 0.838509644949 Henry Cohn, 2026, needs more optimization.
6 1024 0.838621068075 Henry Cohn, 2026, needs more optimization.
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 0.403217495108 Henry Cohn, 2025.
7 60 0.407983464085 Henry Cohn, 2025.
7 61 0.412356098716 Henry Cohn, 2024.
7 62 0.414307063597 Henry Cohn, 2026.
7 63 0.415390831033 Henry Cohn, 2025.
7 64 0.420197073744 Henry Cohn, 2025.
7 67 0.421258543571 Henry Cohn, 2024.
622⁢x3−771⁢x2+288⁢x−31
7 68 0.427637413235 Henry Cohn, 2026.
7 69 0.428316243154 Henry Cohn, 2026.
7 70 0.428552368060 Henry Cohn, 2026.
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 0.452754163206 Henry Cohn, 2026.
7 80 0.453887992064 Henry Cohn, 2024.
7 81 0.458141126431 Henry Cohn, 2026.
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, needs more optimization.
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.
7 89 0.474346016410 Henry Cohn, 2026, needs more optimization.
7 90 0.475294477919 Henry Cohn, 2024.
7 91 0.477365257014 Henry Cohn, 2026.
7 92 0.480306853225 Henry Cohn, 2025.
7 93 0.481807408321 Henry Cohn, 2026.
7 95 0.482130625709 Henry Cohn, 2026, needs more optimization.
7 96 0.482651330945 Henry Cohn, 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 0.493009413613 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.494410911084 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 101 0.495171315420 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 102 0.496162296397 Henry Cohn, 2026.
7 103 0.496896036864 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 104 0.497419130339 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 105 0.497982353835 Henry Cohn, 2026, needs more optimization.
7 106 0.498675447307 Henry Cohn, 2026.
7 107 0.499020849009 Henry Cohn, 2026, needs more optimization.
7 108 0.499649118920 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 109 0.499942084085 Henry Cohn, 2026, needs more optimization.
7 110 0.499971062486 Henry Cohn, 2026, needs more optimization.
7 111 0.499999796398 Henry Cohn, 2026, needs more optimization.
7 112 0.499999966952 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 0.518758185595 Henry Cohn, 2026.
7 130 0.518780653650 Henry Cohn, 2026, needs more optimization.
7 131 0.519150397943 Henry Cohn, 2026, needs more optimization.
7 132 0.519150434769 Henry Cohn, 2026, needs more optimization.
7 133 0.519150510233 Henry Cohn, 2026, needs more optimization.
7 134 0.519150821318 Henry Cohn, 2026, needs more optimization.
7 135 0.519150978416 Henry Cohn, 2026, needs more optimization.
7 136 0.519153914324 Henry Cohn, 2026, needs more optimization.
7 137 0.519751518195 Henry Cohn, 2024.
7 138 0.527218738805 Henry Cohn, 2025.
7 139 0.531593387597 Henry Cohn, 2026, needs more optimization.
7 140 0.531593984520 Henry Cohn, 2026, needs more optimization.
7 142 0.531594206867 Henry Cohn, 2026, needs more optimization.
7 143 0.531594221997 Henry Cohn, 2026, needs more optimization.
7 144 0.531632269410 Henry Cohn, 2026, needs more optimization.
7 145 0.532652042757 Henry Cohn, 2026, needs more optimization.
7 146 0.532826669292 Henry Cohn, 2026, needs more optimization.
7 147 0.533479772596 Henry Cohn, 2024.
7 148 0.533995828316 Henry Cohn, 2026.
7 149 0.546227181856 Henry Cohn, 2026, needs more optimization.
7 150 0.546227521917 Henry Cohn, 2026, needs more optimization.
7 151 0.546227856496 Henry Cohn, 2026, needs more optimization.
7 152 0.546228019612 Henry Cohn, 2026, needs more optimization.
7 153 0.546232682291 Henry Cohn, 2026, needs more optimization.
7 154 0.546280794074 Henry Cohn, 2026, needs more optimization.
7 155 0.546473189456 Henry Cohn, 2026, needs more optimization.
7 156 0.552236680576 Henry Cohn, 2026, needs more optimization.
7 157 0.557006905553 Henry Cohn, 2026, needs more optimization.
7 158 0.559631367342 Henry Cohn, 2026, needs more optimization.
7 159 0.559640545508 Henry Cohn, 2026, needs more optimization.
7 160 0.560412786814 Henry Cohn, 2026, needs more optimization.
7 161 0.560413041208 Henry Cohn, 2026, needs more optimization.
7 163 0.561660700022 Henry Cohn, 2026, needs more optimization.
7 164 0.561660700028 Henry Cohn, 2026, needs more optimization.
7 165 0.561660700029 Henry Cohn, 2026, needs more optimization.
7 168 0.561688600449 Henry Cohn, 2026, needs more optimization.
7 169 0.562559500091 Henry Cohn, 2026, needs more optimization.
7 170 0.563591813282 Henry Cohn, 2026, needs more optimization.
7 171 0.568977520647 Henry Cohn, 2026, needs more optimization.
7 173 0.569971766828 Henry Cohn, 2026, needs more optimization.
7 174 0.569971767326 Henry Cohn, 2026, needs more optimization.
7 175 0.569971783813 Henry Cohn, 2026, needs more optimization.
7 176 0.570443839478 Henry Cohn, 2026, needs more optimization.
7 177 0.570453557788 Henry Cohn, 2026, needs more optimization.
7 178 0.570455793860 Henry Cohn, 2026, needs more optimization.
7 179 0.570549023628 Henry Cohn, 2026, needs more optimization.
7 180 0.570549077585 Henry Cohn, 2026, needs more optimization.
7 181 0.573146522494 Henry Cohn, 2026, needs more optimization.
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 0.587471665743 Henry Cohn, 2026, needs more optimization.
7 184 0.589765669975 Henry Cohn, 2026, needs more optimization.
7 198 0.590112298788 Henry Cohn, 2026.
19⁢x3−9⁢x2−3⁢x+1
7 199 0.592915578673 Henry Cohn, 2026, needs more optimization.
7 200 0.595555710484 Henry Cohn, 2026, needs more optimization.
7 201 0.596858954458 Henry Cohn, 2026, needs more optimization.
7 202 0.599150064617 Henry Cohn, 2026, needs more optimization.
7 203 0.600866932654 Henry Cohn, 2026, needs more optimization.
7 204 0.601298607871 Henry Cohn, 2026, needs more optimization.
7 205 0.602645317356 Henry Cohn, 2026, needs more optimization.
7 206 0.603314794989 Henry Cohn, 2026, needs more optimization.
7 207 0.603917214434 Henry Cohn, 2026, needs more optimization.
7 208 0.606759075613 Henry Cohn, 2026, needs more optimization.
7 209 0.608561420261 Henry Cohn, 2026, needs more optimization.
7 210 0.610555542264 Henry Cohn, 2026, needs more optimization.
7 211 0.611458258220 Henry Cohn, 2026, needs more optimization.
7 212 0.612551252397 Henry Cohn, 2026, needs more optimization.
7 213 0.613054619328 Henry Cohn, 2026, needs more optimization.
7 214 0.614123775509 Henry Cohn, 2026, needs more optimization.
7 215 0.615601565980 Henry Cohn, 2026, needs more optimization.
7 216 0.617333279476 Henry Cohn, 2026, needs more optimization.
7 217 0.618662669162 Henry Cohn, 2026, needs more optimization.
7 218 0.619912821951 Henry Cohn, 2026, needs more optimization.
7 219 0.620421005818 Henry Cohn, 2026, needs more optimization.
7 220 0.621214097343 Henry Cohn, 2026, needs more optimization.
7 221 0.622534745712 Henry Cohn, 2026, needs more optimization.
7 222 0.623341595244 Henry Cohn, 2026, needs more optimization.
7 223 0.624336245321 Henry Cohn, 2026, needs more optimization.
7 224 0.624820651476 Henry Cohn, 2026, needs more optimization.
7 225 0.625403827386 Henry Cohn, 2026, needs more optimization.
7 226 0.626015541486 Henry Cohn, 2026, needs more optimization.
7 227 0.626490681695 Henry Cohn, 2026, needs more optimization.
7 228 0.627682220020 Henry Cohn, 2026, needs more optimization.
7 229 0.628364807431 Henry Cohn, 2026, needs more optimization.
7 230 0.628406519863 Henry Cohn, 2026, needs more optimization.
7 231 0.629052494706 Henry Cohn, 2026, needs more optimization.
7 232 0.629724738939 Henry Cohn, 2026, needs more optimization.
7 233 0.630541650710 Henry Cohn, 2026, needs more optimization.
7 234 0.630543053473 Henry Cohn, 2026, needs more optimization.
7 235 0.631178060324 Henry Cohn, 2026, needs more optimization.
7 236 0.631951158361 Henry Cohn, 2026, needs more optimization.
7 237 0.632425458651 Henry Cohn, 2026, needs more optimization.
7 238 0.633349348987 Henry Cohn, 2026, needs more optimization.
7 239 0.634038741277 Henry Cohn, 2026, needs more optimization.
7 240 0.634257751952 Henry Cohn, 2026, needs more optimization.
7 241 0.635138933601 Henry Cohn, 2026, needs more optimization.
7 242 0.635526021178 Henry Cohn, 2026, needs more optimization.
7 243 0.635986749740 Henry Cohn, 2026, needs more optimization.
7 244 0.636327243688 Henry Cohn, 2026, needs more optimization.
7 245 0.636900859541 Henry Cohn, 2026, needs more optimization.
7 246 0.637424442632 Henry Cohn, 2026, needs more optimization.
7 247 0.638235497487 Henry Cohn, 2026, needs more optimization.
7 248 0.638287790640 Henry Cohn, 2026, needs more optimization.
7 249 0.639092708879 Henry Cohn, 2026, needs more optimization.
7 250 0.639703522308 Henry Cohn, 2026, needs more optimization.
7 251 0.640183163129 Henry Cohn, 2026, needs more optimization.
7 252 0.640376378132 Henry Cohn, 2026, needs more optimization.
7 253 0.640950523948 Henry Cohn, 2026, needs more optimization.
7 254 0.641427699433 Henry Cohn, 2026, needs more optimization.
7 255 0.642025723053 Henry Cohn, 2026, needs more optimization.
7 256 0.642825199070 Henry Cohn, 2026, needs more optimization.
7 257 0.643159885728 Henry Cohn, 2026, needs more optimization.
7 258 0.644638332321 Henry Cohn, 2026, needs more optimization.
7 259 0.645123658865 Henry Cohn, 2026, needs more optimization.
7 260 0.645626516686 Henry Cohn, 2026, needs more optimization.
7 261 0.645658195687 Henry Cohn, 2026, needs more optimization.
7 262 0.646033877885 Henry Cohn, 2026, needs more optimization.
7 263 0.646756819710 Henry Cohn, 2026, needs more optimization.
7 264 0.647297735912 Henry Cohn, 2026, needs more optimization.
7 265 0.648068259133 Henry Cohn, 2026, needs more optimization.
7 266 0.648347731329 Henry Cohn, 2026, needs more optimization.
7 267 0.648837239826 Henry Cohn, 2026, needs more optimization.
7 268 0.649114250383 Henry Cohn, 2026, needs more optimization.
7 269 0.649436293310 Henry Cohn, 2026, needs more optimization.
7 270 0.649744577381 Henry Cohn, 2026, needs more optimization.
7 271 0.650140095009 Henry Cohn, 2026, needs more optimization.
7 272 0.650471890777 Henry Cohn, 2026, needs more optimization.
7 273 0.650888925789 Henry Cohn, 2026, needs more optimization.
7 274 0.651364224153 Henry Cohn, 2026, needs more optimization.
7 275 0.651639755753 Henry Cohn, 2026, needs more optimization.
7 276 0.651930717104 Henry Cohn, 2026, needs more optimization.
7 277 0.652290236435 Henry Cohn, 2026, needs more optimization.
7 278 0.653059454965 Henry Cohn, 2026, needs more optimization.
7 279 0.653531633329 Henry Cohn, 2026, needs more optimization.
7 280 0.653848191136 Henry Cohn, 2026, needs more optimization.
7 281 0.654246811179 Henry Cohn, 2026, needs more optimization.
7 282 0.654851631065 Henry Cohn, 2026, needs more optimization.
7 283 0.655300546431 Henry Cohn, 2026, needs more optimization.
7 284 0.655832055393 Henry Cohn, 2026, needs more optimization.
7 285 0.656366537413 Henry Cohn, 2026, needs more optimization.
7 286 0.656835658238 Henry Cohn, 2026, needs more optimization.
7 287 0.657327028502 Henry Cohn, 2026, needs more optimization.
7 288 0.657534695285 Henry Cohn, 2026, needs more optimization.
7 289 0.657971081812 Henry Cohn, 2026, needs more optimization.
7 290 0.658434278219 Henry Cohn, 2026, needs more optimization.
7 291 0.658827631103 Henry Cohn, 2026, needs more optimization.
7 292 0.659216359007 Henry Cohn, 2026, needs more optimization.
7 293 0.659660350046 Henry Cohn, 2026, needs more optimization.
7 294 0.660002582538 Henry Cohn, 2026, needs more optimization.
7 295 0.660440880927 Henry Cohn, 2026, needs more optimization.
7 296 0.660903714935 Henry Cohn, 2026, needs more optimization.
7 297 0.661201464050 Henry Cohn, 2026, needs more optimization.
7 298 0.661736502396 Henry Cohn, 2026, needs more optimization.
7 299 0.662350886280 Henry Cohn, 2026, needs more optimization.
7 300 0.662622691641 Henry Cohn, 2026, needs more optimization.
7 301 0.662928432550 Henry Cohn, 2026, needs more optimization.
7 302 0.663251996083 Henry Cohn, 2026, needs more optimization.
7 303 0.663934324988 Henry Cohn, 2026, needs more optimization.
7 304 0.664312367885 Henry Cohn, 2026, needs more optimization.
7 305 0.664326729662 Henry Cohn, 2026, needs more optimization.
7 306 0.664476113843 Henry Cohn, 2026, needs more optimization.
7 307 0.665082951854 Henry Cohn, 2026, needs more optimization.
7 308 0.665456388324 Henry Cohn, 2026, needs more optimization.
7 309 0.665885014598 Henry Cohn, 2026, needs more optimization.
7 310 0.666282317135 Henry Cohn, 2026, needs more optimization.
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 0.668524326903 Henry Cohn, 2026, needs more optimization.
7 360 0.669367972307 Henry Cohn, 2026, needs more optimization.
7 361 0.669635408759 Henry Cohn, 2026, needs more optimization.
7 362 0.670193186795 Henry Cohn, 2026, needs more optimization.
7 363 0.670767245718 Henry Cohn, 2026, needs more optimization.
7 364 0.671303761195 Henry Cohn, 2026, needs more optimization.
7 365 0.671894506171 Henry Cohn, 2026, needs more optimization.
7 366 0.672435813947 Henry Cohn, 2026, needs more optimization.
7 367 0.673024325354 Henry Cohn, 2026, needs more optimization.
7 368 0.673280224019 Henry Cohn, 2026, needs more optimization.
7 369 0.674089417651 Henry Cohn, 2026, needs more optimization.
7 370 0.674242100325 Henry Cohn, 2026, needs more optimization.
7 371 0.675090137961 Henry Cohn, 2026, needs more optimization.
7 372 0.675566683745 Henry Cohn, 2026, needs more optimization.
7 373 0.676090494756 Henry Cohn, 2026, needs more optimization.
7 374 0.676559982673 Henry Cohn, 2026, needs more optimization.
7 375 0.676944033372 Henry Cohn, 2026, needs more optimization.
7 376 0.676953832770 Henry Cohn, 2026, needs more optimization.
7 377 0.676960601924 Henry Cohn, 2026, needs more optimization.
7 378 0.676969911283 Henry Cohn, 2026, needs more optimization.
7 379 0.676982385593 Henry Cohn, 2026, needs more optimization.
7 380 0.677004274487 Henry Cohn, 2026, needs more optimization.
7 381 0.677310978423 Henry Cohn, 2026, needs more optimization.
7 382 0.677322997688 Henry Cohn, 2026, needs more optimization.
7 383 0.677800945763 Henry Cohn, 2026, needs more optimization.
7 384 0.678293480594 Henry Cohn, 2026, needs more optimization.
7 385 0.678954016395 Henry Cohn, 2026, needs more optimization.
7 386 0.679068250083 Henry Cohn, 2026, needs more optimization.
7 387 0.679186764966 Henry Cohn, 2026, needs more optimization.
7 388 0.679682832355 Henry Cohn, 2026, needs more optimization.
7 389 0.679691382042 Henry Cohn, 2026, needs more optimization.
7 390 0.680024042094 Henry Cohn, 2026, needs more optimization.
7 391 0.680648300159 Henry Cohn, 2026, needs more optimization.
7 392 0.680668979353 Henry Cohn, 2026, needs more optimization.
7 393 0.680680743545 Henry Cohn, 2026, needs more optimization.
7 394 0.680940559018 Henry Cohn, 2026, needs more optimization.
7 395 0.681006203424 Henry Cohn, 2026, needs more optimization.
7 396 0.681297637656 Henry Cohn, 2026, needs more optimization.
7 397 0.681645365077 Henry Cohn, 2026, needs more optimization.
7 398 0.681682719275 Henry Cohn, 2026, needs more optimization.
7 399 0.681940494662 Henry Cohn, 2026, needs more optimization.
7 400 0.681958889829 Henry Cohn, 2026, needs more optimization.
7 401 0.682456222715 Henry Cohn, 2026, needs more optimization.
7 402 0.682561011779 Henry Cohn, 2026, needs more optimization.
7 403 0.682581236157 Henry Cohn, 2026, needs more optimization.
7 404 0.682765489653 Henry Cohn, 2026, needs more optimization.
7 405 0.683044944140 Henry Cohn, 2026, needs more optimization.
7 406 0.683138497500 Henry Cohn, 2026, needs more optimization.
7 407 0.683146875657 Henry Cohn, 2026, needs more optimization.
7 408 0.683334681830 Henry Cohn, 2026, needs more optimization.
7 409 0.683616677426 Henry Cohn, 2026, needs more optimization.
7 410 0.683619280554 Henry Cohn, 2026, needs more optimization.
7 411 0.683859284839 Henry Cohn, 2026, needs more optimization.
7 412 0.684037164314 Henry Cohn, 2026, needs more optimization.
7 413 0.684290189237 Henry Cohn, 2026, needs more optimization.
7 414 0.684293558808 Henry Cohn, 2026, needs more optimization.
7 415 0.684473923666 Henry Cohn, 2026, needs more optimization.
7 416 0.684479672580 Henry Cohn, 2026, needs more optimization.
7 417 0.684687223911 Henry Cohn, 2026, needs more optimization.
7 418 0.685543350821 Henry Cohn, 2026, needs more optimization.
7 419 0.686415323973 Henry Cohn, 2026, needs more optimization.
7 420 0.686562156509 Henry Cohn, 2026, needs more optimization.
7 421 0.686937675426 Henry Cohn, 2026, needs more optimization.
7 422 0.687212331409 Henry Cohn, 2026, needs more optimization.
7 423 0.687420978248 Henry Cohn, 2026, needs more optimization.
7 424 0.688112120398 Henry Cohn, 2026, needs more optimization.
7 425 0.688274557808 Henry Cohn, 2026, needs more optimization.
7 426 0.689038808766 Henry Cohn, 2026, needs more optimization.
7 427 0.690372965782 Henry Cohn, 2026, needs more optimization.
7 428 0.690614428719 Henry Cohn, 2026, needs more optimization.
7 429 0.691165238155 Henry Cohn, 2026, needs more optimization.
7 430 0.691274486692 Henry Cohn, 2026, needs more optimization.
7 431 0.691658148769 Henry Cohn, 2026, needs more optimization.
7 432 0.692334801094 Henry Cohn, 2026, needs more optimization.
7 433 0.692798607978 Henry Cohn, 2026, needs more optimization.
7 434 0.693340993693 Henry Cohn, 2026, needs more optimization.
7 435 0.693493994702 Henry Cohn, 2026, needs more optimization.
7 436 0.693814634090 Henry Cohn, 2026, needs more optimization.
7 437 0.694018388100 Henry Cohn, 2026, needs more optimization.
7 438 0.694401963309 Henry Cohn, 2026, needs more optimization.
7 439 0.694947624450 Henry Cohn, 2026, needs more optimization.
7 440 0.695233444983 Henry Cohn, 2026, needs more optimization.
7 441 0.695670115796 Henry Cohn, 2026, needs more optimization.
7 442 0.696015282334 Henry Cohn, 2026, needs more optimization.
7 443 0.696689243891 Henry Cohn, 2026, needs more optimization.
7 444 0.696715135879 Henry Cohn, 2026, needs more optimization.
7 445 0.696793910908 Henry Cohn, 2026, needs more optimization.
7 446 0.697230506604 Henry Cohn, 2026, needs more optimization.
7 447 0.697868809787 Henry Cohn, 2026, needs more optimization.
7 448 0.697874826444 Henry Cohn, 2026, needs more optimization.
7 449 0.698166855870 Henry Cohn, 2026, needs more optimization.
7 450 0.698973699609 Henry Cohn, 2026, needs more optimization.
7 451 0.699346991285 Henry Cohn, 2026, needs more optimization.
7 452 0.699379548430 Henry Cohn, 2026, needs more optimization.
7 453 0.700011683873 Henry Cohn, 2026, needs more optimization.
7 454 0.700670657606 Henry Cohn, 2026, needs more optimization.
7 455 0.700690443863 Henry Cohn, 2026, needs more optimization.
7 456 0.700811520539 Henry Cohn, 2026, needs more optimization.
7 457 0.701095930791 Henry Cohn, 2026, needs more optimization.
7 458 0.701320862597 Henry Cohn, 2026, needs more optimization.
7 459 0.702133865975 Henry Cohn, 2026, needs more optimization.
7 460 0.702172453317 Henry Cohn, 2026, needs more optimization.
7 461 0.702944484737 Henry Cohn, 2026, needs more optimization.
7 462 0.703480440491 Henry Cohn, 2026, needs more optimization.
7 463 0.703542960128 Henry Cohn, 2026, needs more optimization.
7 464 0.704077561369 Henry Cohn, 2026, needs more optimization.
7 465 0.704401569433 Henry Cohn, 2026, needs more optimization.
7 466 0.705196806324 Henry Cohn, 2026, needs more optimization.
7 467 0.705390191157 Henry Cohn, 2026, needs more optimization.
7 468 0.705731272862 Henry Cohn, 2026, needs more optimization.
7 469 0.705794959324 Henry Cohn, 2026, needs more optimization.
7 470 0.705936077197 Henry Cohn, 2026, needs more optimization.
7 471 0.706012756198 Henry Cohn, 2026, needs more optimization.
7 472 0.706127949932 Henry Cohn, 2026, needs more optimization.
7 473 0.706248812232 Henry Cohn, 2026, needs more optimization.
7 474 0.706525235056 Henry Cohn, 2026, needs more optimization.
7 475 0.706856584854 Henry Cohn, 2026, needs more optimization.
7 476 0.706902108332 Henry Cohn, 2026, needs more optimization.
7 477 0.707066961960 Henry Cohn, 2026, needs more optimization.
7 478 0.707081587282 Henry Cohn, 2026, needs more optimization.
7 479 0.707136091573 Henry Cohn, 2026, needs more optimization.
7 480 0.707242927557 Henry Cohn, 2026, needs more optimization.
7 481 0.707582894800 Henry Cohn, 2026, needs more optimization.
7 482 0.707641716978 Henry Cohn, 2026, needs more optimization.
7 483 0.707645315937 Henry Cohn, 2026, needs more optimization.
7 484 0.707646638444 Henry Cohn, 2026, needs more optimization.
7 485 0.707671898147 Henry Cohn, 2026, needs more optimization.
7 486 0.707833473331 Henry Cohn, 2026, needs more optimization.
7 487 0.707867058471 Henry Cohn, 2026, needs more optimization.
7 488 0.707931562588 Henry Cohn, 2026, needs more optimization.
7 489 0.708001133129 Henry Cohn, 2026, needs more optimization.
7 490 0.708056826193 Henry Cohn, 2026, needs more optimization.
7 491 0.708193536662 Henry Cohn, 2026, needs more optimization.
7 492 0.708196032653 Henry Cohn, 2026, needs more optimization.
7 493 0.708441878063 Henry Cohn, 2026, needs more optimization.
7 494 0.708874290802 Henry Cohn, 2026, needs more optimization.
7 495 0.709123152333 Henry Cohn, 2026, needs more optimization.
7 496 0.709124064853 Henry Cohn, 2026, needs more optimization.
7 497 0.709170002065 Henry Cohn, 2026, needs more optimization.
7 498 0.709281520731 Henry Cohn, 2026, needs more optimization.
7 499 0.709975959299 Henry Cohn, 2026, needs more optimization.
7 500 0.710011037449 Henry Cohn, 2026, needs more optimization.
7 501 0.710044206106 Henry Cohn, 2026, needs more optimization.
7 502 0.710435033631 Henry Cohn, 2026, needs more optimization.
7 503 0.710507202706 Henry Cohn, 2026, needs more optimization.
7 504 0.710937586279 Henry Cohn, 2026, needs more optimization.
7 505 0.710939098060 Henry Cohn, 2026, needs more optimization.
7 506 0.710990123329 Henry Cohn, 2026, needs more optimization.
7 507 0.711084769082 Henry Cohn, 2026, needs more optimization.
7 508 0.711112026155 Henry Cohn, 2026, needs more optimization.
7 509 0.711207777887 Henry Cohn, 2026, needs more optimization.
7 510 0.711303078812 Henry Cohn, 2026, needs more optimization.
7 511 0.711375518602 Henry Cohn, 2026, needs more optimization.
7 512 0.711472228338 Henry Cohn, 2026, needs more optimization.
7 513 0.712178008113 Henry Cohn, 2026, needs more optimization.
7 514 0.712179400611 Henry Cohn, 2026, needs more optimization.
7 515 0.712183125733 Henry Cohn, 2026, needs more optimization.
7 516 0.712193350410 Henry Cohn, 2026, needs more optimization.
7 517 0.712218146667 Henry Cohn, 2026, needs more optimization.
7 518 0.712354750878 Henry Cohn, 2026, needs more optimization.
7 519 0.712384145946 Henry Cohn, 2026, needs more optimization.
7 520 0.712559588212 Henry Cohn, 2026, needs more optimization.
7 521 0.713134745974 Henry Cohn, 2026, needs more optimization.
7 522 0.713136511184 Henry Cohn, 2026, needs more optimization.
7 523 0.713138460810 Henry Cohn, 2026, needs more optimization.
7 524 0.713140317716 Henry Cohn, 2026, needs more optimization.
7 525 0.713142280477 Henry Cohn, 2026, needs more optimization.
7 526 0.713144052792 Henry Cohn, 2026, needs more optimization.
7 527 0.713153813488 Henry Cohn, 2026, needs more optimization.
7 528 0.713157074205 Henry Cohn, 2026, needs more optimization.
7 529 0.713165488602 Henry Cohn, 2026, needs more optimization.
7 530 0.713335619185 Henry Cohn, 2026, needs more optimization.
7 531 0.713399911562 Henry Cohn, 2026, needs more optimization.
7 532 0.713423679678 Henry Cohn, 2026, needs more optimization.
7 533 0.713457895531 Henry Cohn, 2026, needs more optimization.
7 534 0.713462498804 Henry Cohn, 2026, needs more optimization.
7 535 0.713485459309 Henry Cohn, 2026, needs more optimization.
7 536 0.713505342408 Henry Cohn, 2026, needs more optimization.
7 537 0.713779561410 Henry Cohn, 2026, needs more optimization.
7 539 0.713851132844 Henry Cohn, 2026, needs more optimization.
7 540 0.713969170022 Henry Cohn, 2026, needs more optimization.
7 542 0.713992413477 Henry Cohn, 2026, needs more optimization.
7 543 0.714034112370 Henry Cohn, 2026, needs more optimization.
7 544 0.714064075438 Henry Cohn, 2026, needs more optimization.
7 547 0.714069798030 Henry Cohn, 2026, needs more optimization.
7 548 0.714193034740 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 0.718298274990 Henry Cohn, 2026, needs more optimization.
7 634 0.720006570388 Henry Cohn, 2026, needs more optimization.
7 635 0.721180827679 Henry Cohn, 2026, needs more optimization.
7 636 0.722121351941 Henry Cohn, 2026, needs more optimization.
7 637 0.722906311800 Henry Cohn, 2026, needs more optimization.
7 638 0.723681591148 Henry Cohn, 2026, needs more optimization.
7 639 0.724497620256 Henry Cohn, 2026, needs more optimization.
7 640 0.724995278115 Henry Cohn, 2026, needs more optimization.
7 641 0.725511974929 Henry Cohn, 2026, needs more optimization.
7 642 0.726061299054 Henry Cohn, 2026, needs more optimization.
7 643 0.726418369645 Henry Cohn, 2026, needs more optimization.
7 644 0.726765709449 Henry Cohn, 2026, needs more optimization.
7 645 0.727071140221 Henry Cohn, 2026, needs more optimization.
7 646 0.727518621117 Henry Cohn, 2026, needs more optimization.
7 647 0.727897128399 Henry Cohn, 2026, needs more optimization.
7 648 0.728312624631 Henry Cohn, 2026, needs more optimization.
7 649 0.728644587498 Henry Cohn, 2026, needs more optimization.
7 650 0.729056790923 Henry Cohn, 2026, needs more optimization.
7 651 0.729302366310 Henry Cohn, 2026, needs more optimization.
7 652 0.729547126335 Henry Cohn, 2026, needs more optimization.
7 653 0.729787388784 Henry Cohn, 2026, needs more optimization.
7 654 0.729983906021 Henry Cohn, 2026, needs more optimization.
7 655 0.730238939554 Henry Cohn, 2026, needs more optimization.
7 656 0.730558015009 Henry Cohn, 2026, needs more optimization.
7 657 0.730813001190 Henry Cohn, 2026, needs more optimization.
7 658 0.731120699242 Henry Cohn, 2026, needs more optimization.
7 659 0.731370190586 Henry Cohn, 2026, needs more optimization.
7 660 0.731489919259 Henry Cohn, 2026, needs more optimization.
7 661 0.731867695497 Henry Cohn, 2026, needs more optimization.
7 662 0.732093038418 Henry Cohn, 2026, needs more optimization.
7 663 0.732308130247 Henry Cohn, 2026, needs more optimization.
7 664 0.732500248542 Henry Cohn, 2026, needs more optimization.
7 665 0.732900622296 Henry Cohn, 2026, needs more optimization.
7 666 0.733218977719 Henry Cohn, 2026, needs more optimization.
7 667 0.733496328419 Henry Cohn, 2026, needs more optimization.
7 668 0.733764595312 Henry Cohn, 2026, needs more optimization.
7 669 0.734022690240 Henry Cohn, 2026, needs more optimization.
7 670 0.734312834848 Henry Cohn, 2026, needs more optimization.
7 671 0.734589758101 Henry Cohn, 2026, needs more optimization.
7 672 0.734851328355 Henry Cohn, 2026, needs more optimization.
7 673 0.735099265527 Henry Cohn, 2026, needs more optimization.
7 674 0.735518969395 Henry Cohn, 2026, needs more optimization.
7 675 0.735694695783 Henry Cohn, 2026, needs more optimization.
7 676 0.735878590384 Henry Cohn, 2026, needs more optimization.
7 677 0.736132058156 Henry Cohn, 2026, needs more optimization.
7 678 0.736351495838 Henry Cohn, 2026, needs more optimization.
7 679 0.736585626456 Henry Cohn, 2026, needs more optimization.
7 680 0.736872068924 Henry Cohn, 2026, needs more optimization.
7 681 0.737101002025 Henry Cohn, 2026, needs more optimization.
7 682 0.737352680088 Henry Cohn, 2026, needs more optimization.
7 683 0.737503097246 Henry Cohn, 2026, needs more optimization.
7 684 0.737635994334 Henry Cohn, 2026, needs more optimization.
7 685 0.737762634618 Henry Cohn, 2026, needs more optimization.
7 686 0.737995172407 Henry Cohn, 2026, needs more optimization.
7 687 0.737997988993 Henry Cohn, 2026, needs more optimization.
7 688 0.738000515350 Henry Cohn, 2026, needs more optimization.
7 689 0.738002673534 Henry Cohn, 2026, needs more optimization.
7 691 0.738395945928 Henry Cohn, 2026, needs more optimization.
7 692 0.738396240958 Henry Cohn, 2026, needs more optimization.
7 693 0.738396605055 Henry Cohn, 2026, needs more optimization.
7 694 0.738397184095 Henry Cohn, 2026, needs more optimization.
7 695 0.738397995249 Henry Cohn, 2026, needs more optimization.
7 696 0.738399223849 Henry Cohn, 2026, needs more optimization.
7 697 0.738400644376 Henry Cohn, 2026, needs more optimization.
7 698 0.738536767804 Henry Cohn, 2026, needs more optimization.
7 699 0.738547622781 Henry Cohn, 2026, needs more optimization.
7 700 0.738656216350 Henry Cohn, 2026, needs more optimization.
7 701 0.739121122100 Henry Cohn, 2026, needs more optimization.
7 702 0.739271024736 Henry Cohn, 2026, needs more optimization.
7 703 0.739923908837 Henry Cohn, 2026, needs more optimization.
7 704 0.739976255483 Henry Cohn, 2026, needs more optimization.
7 705 0.740004284449 Henry Cohn, 2026, needs more optimization.
7 706 0.740035496303 Henry Cohn, 2026, needs more optimization.
7 707 0.740067956138 Henry Cohn, 2026, needs more optimization.
7 709 0.740106715512 Henry Cohn, 2026, needs more optimization.
7 710 0.740272034994 Henry Cohn, 2026, needs more optimization.
7 711 0.740854292465 Henry Cohn, 2026, needs more optimization.
7 712 0.740857530682 Henry Cohn, 2026, needs more optimization.
7 713 0.740859557126 Henry Cohn, 2026, needs more optimization.
7 714 0.740862588187 Henry Cohn, 2026, needs more optimization.
7 720 0.744908572138 Henry Cohn, 2026, needs more optimization.
7 729 0.744908579490 Henry Cohn, 2026, needs more optimization.
7 730 0.744910878759 Henry Cohn, 2026, needs more optimization.
7 731 0.744939353969 Henry Cohn, 2026, needs more optimization.
7 733 0.744939401410 Henry Cohn, 2026, needs more optimization.
7 734 0.749200273931 Henry Cohn, 2026, needs more optimization.
7 735 0.749328706091 Henry Cohn, 2026, needs more optimization.
7 736 0.749512259380 Henry Cohn, 2026, needs more optimization.
7 737 0.749717216529 Henry Cohn, 2026, needs more optimization.
7 739 0.749838697083 Henry Cohn, 2026, needs more optimization.
7 740 0.749991793491 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 0.755834128631 Henry Cohn, 2026, needs more optimization.
7 884 0.766411482886 Henry Cohn, 2026, needs more optimization.
7 885 0.766514916775 Henry Cohn, 2026, needs more optimization.
7 886 0.766521691983 Henry Cohn, 2026, needs more optimization.
7 887 0.766846147771 Henry Cohn, 2026, needs more optimization.
7 888 0.766876538936 Henry Cohn, 2026, needs more optimization.
7 889 0.766878793528 Henry Cohn, 2026, needs more optimization.
7 890 0.766994867042 Henry Cohn, 2026, needs more optimization.
7 891 0.767033380112 Henry Cohn, 2026, needs more optimization.
7 892 0.767225048156 Henry Cohn, 2026, needs more optimization.
7 893 0.767227913706 Henry Cohn, 2026, needs more optimization.
7 894 0.767245800817 Henry Cohn, 2026, needs more optimization.
7 895 0.767385309885 Henry Cohn, 2026, needs more optimization.
7 896 0.767396742501 Henry Cohn, 2026, needs more optimization.
7 897 0.767667376367 Henry Cohn, 2026, needs more optimization.
7 898 0.767728970810 Henry Cohn, 2026, needs more optimization.
7 899 0.767732018260 Henry Cohn, 2026, needs more optimization.
7 900 0.767774309366 Henry Cohn, 2026, needs more optimization.
7 901 0.767977091645 Henry Cohn, 2026, needs more optimization.
7 902 0.767980029763 Henry Cohn, 2026, needs more optimization.
7 903 0.768099555158 Henry Cohn, 2026, needs more optimization.
7 904 0.768131887335 Henry Cohn, 2026, needs more optimization.
7 905 0.768343511034 Henry Cohn, 2026, needs more optimization.
7 906 0.768383205763 Henry Cohn, 2026, needs more optimization.
7 907 0.768512635531 Henry Cohn, 2026, needs more optimization.
7 908 0.768573259053 Henry Cohn, 2026, needs more optimization.
7 909 0.768694758034 Henry Cohn, 2026, needs more optimization.
7 910 0.768723792442 Henry Cohn, 2026, needs more optimization.
7 911 0.768765111307 Henry Cohn, 2026, needs more optimization.
7 912 0.768914060390 Henry Cohn, 2026, needs more optimization.
7 913 0.768918038786 Henry Cohn, 2026, needs more optimization.
7 914 0.768920444828 Henry Cohn, 2026, needs more optimization.
7 915 0.769145975051 Henry Cohn, 2026, needs more optimization.
7 916 0.769175236264 Henry Cohn, 2026, needs more optimization.
7 917 0.769176448786 Henry Cohn, 2026, needs more optimization.
7 918 0.769527211085 Henry Cohn, 2026, needs more optimization.
7 919 0.769531262346 Henry Cohn, 2026, needs more optimization.
7 920 0.769552849560 Henry Cohn, 2026, needs more optimization.
7 921 0.769697394138 Henry Cohn, 2026, needs more optimization.
7 922 0.769873928187 Henry Cohn, 2026, needs more optimization.
7 923 0.769892689650 Henry Cohn, 2026, needs more optimization.
7 924 0.769917901794 Henry Cohn, 2026, needs more optimization.
7 925 0.769958436428 Henry Cohn, 2026, needs more optimization.
7 926 0.769993359704 Henry Cohn, 2026, needs more optimization.
7 927 0.770118986682 Henry Cohn, 2026, needs more optimization.
7 928 0.770221739285 Henry Cohn, 2026, needs more optimization.
7 929 0.770224646421 Henry Cohn, 2026, needs more optimization.
7 930 0.770257975661 Henry Cohn, 2026, needs more optimization.
7 931 0.770533715694 Henry Cohn, 2026, needs more optimization.
7 932 0.770554461716 Henry Cohn, 2026, needs more optimization.
7 933 0.770578019943 Henry Cohn, 2026, needs more optimization.
7 934 0.770623680514 Henry Cohn, 2026, needs more optimization.
7 935 0.770764423969 Henry Cohn, 2026, needs more optimization.
7 936 0.770892516529 Henry Cohn, 2026, needs more optimization.
7 937 0.770893183757 Henry Cohn, 2026, needs more optimization.
7 938 0.771125460713 Henry Cohn, 2026, needs more optimization.
7 939 0.771142876744 Henry Cohn, 2026, needs more optimization.
7 940 0.771185583249 Henry Cohn, 2026, needs more optimization.
7 941 0.771216161209 Henry Cohn, 2026, needs more optimization.
7 943 0.771352223642 Henry Cohn, 2026, needs more optimization.
7 944 0.771497263876 Henry Cohn, 2026, needs more optimization.
7 945 0.771507194592 Henry Cohn, 2026, needs more optimization.
7 946 0.771691306865 Henry Cohn, 2026, needs more optimization.
7 947 0.771721422868 Henry Cohn, 2026, needs more optimization.
7 948 0.771743991401 Henry Cohn, 2026, needs more optimization.
7 949 0.771753577273 Henry Cohn, 2026, needs more optimization.
7 950 0.771853208064 Henry Cohn, 2026, needs more optimization.
7 951 0.772075263910 Henry Cohn, 2026, needs more optimization.
7 952 0.772207924049 Henry Cohn, 2026, needs more optimization.
7 953 0.772216332030 Henry Cohn, 2026, needs more optimization.
7 954 0.772231558173 Henry Cohn, 2026, needs more optimization.
7 955 0.772316899438 Henry Cohn, 2026, needs more optimization.
7 956 0.772587902554 Henry Cohn, 2026, needs more optimization.
7 957 0.772597050232 Henry Cohn, 2026, needs more optimization.
7 958 0.772701098683 Henry Cohn, 2026, needs more optimization.
7 959 0.772722209216 Henry Cohn, 2026, needs more optimization.
7 960 0.772798734268 Henry Cohn, 2026, needs more optimization.
7 961 0.772799910052 Henry Cohn, 2026, needs more optimization.
7 962 0.772900150035 Henry Cohn, 2026, needs more optimization.
7 963 0.773148778954 Henry Cohn, 2026, needs more optimization.
7 964 0.773176422482 Henry Cohn, 2026, needs more optimization.
7 965 0.773194628397 Henry Cohn, 2026, needs more optimization.
7 966 0.773207728656 Henry Cohn, 2026, needs more optimization.
7 967 0.773298226490 Henry Cohn, 2026, needs more optimization.
7 968 0.773514044544 Henry Cohn, 2026, needs more optimization.
7 969 0.773559033705 Henry Cohn, 2026, needs more optimization.
7 970 0.773581906953 Henry Cohn, 2026, needs more optimization.
7 971 0.773698919607 Henry Cohn, 2026, needs more optimization.
7 972 0.773823363435 Henry Cohn, 2026, needs more optimization.
7 973 0.773830163313 Henry Cohn, 2026, needs more optimization.
7 974 0.773905147954 Henry Cohn, 2026, needs more optimization.
7 975 0.774045491052 Henry Cohn, 2026, needs more optimization.
7 976 0.774172516317 Henry Cohn, 2026, needs more optimization.
7 977 0.774191903538 Henry Cohn, 2026, needs more optimization.
7 978 0.774207623231 Henry Cohn, 2026, needs more optimization.
7 979 0.774291165684 Henry Cohn, 2026, needs more optimization.
7 980 0.774295335788 Henry Cohn, 2026, needs more optimization.
7 981 0.774466255820 Henry Cohn, 2026, needs more optimization.
7 982 0.774495297915 Henry Cohn, 2026, needs more optimization.
7 983 0.774567021657 Henry Cohn, 2026, needs more optimization.
7 984 0.774741478486 Henry Cohn, 2026, needs more optimization.
7 985 0.774743817169 Henry Cohn, 2026, needs more optimization.
7 986 0.774768627048 Henry Cohn, 2026, needs more optimization.
7 987 0.774870097372 Henry Cohn, 2026, needs more optimization.
7 988 0.775036513515 Henry Cohn, 2026, needs more optimization.
7 989 0.775040348920 Henry Cohn, 2026, needs more optimization.
7 990 0.775225669884 Henry Cohn, 2026, needs more optimization.
7 991 0.775256641470 Henry Cohn, 2026, needs more optimization.
7 992 0.775418321679 Henry Cohn, 2026, needs more optimization.
7 993 0.775426058939 Henry Cohn, 2026, needs more optimization.
7 994 0.775443417346 Henry Cohn, 2026, needs more optimization.
7 995 0.775628224505 Henry Cohn, 2026, needs more optimization.
7 996 0.775665635320 Henry Cohn, 2026, needs more optimization.
7 997 0.775698619186 Henry Cohn, 2026, needs more optimization.
7 998 0.775752215057 Henry Cohn, 2026, needs more optimization.
7 999 0.775755362448 Henry Cohn, 2026, needs more optimization.
7 1000 0.775794804197 Henry Cohn, 2026, needs more optimization.
7 1002 0.775975778752 Henry Cohn, 2026, needs more optimization.
7 1003 0.776159422213 Henry Cohn, 2026, needs more optimization.
7 1004 0.776180713319 Henry Cohn, 2026, needs more optimization.
7 1005 0.776311678667 Henry Cohn, 2026, needs more optimization.
7 1006 0.776376075236 Henry Cohn, 2026, needs more optimization.
7 1007 0.776416538898 Henry Cohn, 2026, needs more optimization.
7 1008 0.776726758240 Henry Cohn, 2026, needs more optimization.
7 1009 0.776728688000 Henry Cohn, 2026, needs more optimization.
7 1010 0.776782379247 Henry Cohn, 2026, needs more optimization.
7 1012 0.776935910154 Henry Cohn, 2026, needs more optimization.
7 1013 0.777119177336 Henry Cohn, 2026, needs more optimization.
7 1014 0.777153888136 Henry Cohn, 2026, needs more optimization.
7 1015 0.777192014853 Henry Cohn, 2026, needs more optimization.
7 1016 0.777309700214 Henry Cohn, 2026, needs more optimization.
7 1017 0.777357532292 Henry Cohn, 2026, needs more optimization.
7 1018 0.777369051992 Henry Cohn, 2026, needs more optimization.
7 1019 0.777459122668 Henry Cohn, 2026, needs more optimization.
7 1020 0.777802020367 Henry Cohn, 2026, needs more optimization.
7 1021 0.777823328724 Henry Cohn, 2026, needs more optimization.
7 1022 0.777986944126 Henry Cohn, 2026, needs more optimization.
7 1023 0.777989432909 Henry Cohn, 2026, needs more optimization.
7 1024 0.778003501240 Henry Cohn, 2026, needs more optimization.
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 0.288883351523 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 0.306796780995 Henry Cohn, 2025.
8 49 0.310558546149 Henry Cohn, 2025.
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 0.332158951387 Henry Cohn, 2025.
8 58 0.332676598414 Henry Cohn, 2025.
8 59 0.333047687244 Henry Cohn, 2025.
8 60 0.333177612425 Henry Cohn, 2025.
8 61 0.333249870325 Henry Cohn, 2025.
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 0.348776902230 Henry Cohn, 2025.
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 0.380121614172 Henry Cohn, 2026.
8 76 0.383280469013 Henry Cohn, 2023.
8 77 0.386305789989 Henry Cohn, 2025.
8 78 0.387879817423 Henry Cohn, 2025.
8 79 0.395049514668 Henry Cohn, 2024.
8 80 0.396555611504 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.409324629428 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.421656007707 Henry Cohn, 2026, needs more optimization.
8 91 0.422013535027 Henry Cohn, 2026.
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 0.426308373208 Henry Cohn, 2026.
8 96 0.426656171731 Henry Cohn, 2026.
8 97 0.427518817396 Henry Cohn, 2026.
8 98 0.428413697863 Henry Cohn, 2026.
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 0.428568419326 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 101 0.428570721180 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.447563983009 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.448006674268 Henry Cohn, 2026.
8 117 0.451128772002 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 118 0.455245746618 Henry Cohn, 2026, needs more optimization.
8 119 0.460488108267 Henry Cohn, 2026.
8 120 0.461570019406 Henry Cohn, 2026.
8 121 0.461664940377 Henry Cohn, 2026, needs more optimization.
8 122 0.461856796790 Henry Cohn, 2026.
8 123 0.462136061318 Henry Cohn, 2026, needs more optimization.
8 124 0.462496224500 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 0.466199226032 Henry Cohn, 2025.
8 138 0.467415586535 Henry Cohn, 2026, needs more optimization.
8 139 0.468649534175 Henry Cohn, 2026, needs more optimization.
8 140 0.470795634183 Henry Cohn, 2026, needs more optimization.
8 141 0.472527631361 Henry Cohn, 2026, needs more optimization.
8 142 0.476420792945 Henry Cohn, 2026, needs more optimization.
8 143 0.476461642512 Henry Cohn, 2026, needs more optimization.
8 144 0.482729759636 Henry Cohn, 2026, needs more optimization.
8 145 0.485575542111 Henry Cohn, 2026, needs more optimization.
8 146 0.488018238140 Henry Cohn, 2026, needs more optimization.
8 147 0.488151847741 Henry Cohn, 2026, needs more optimization.
8 148 0.488566083636 Henry Cohn, 2026, needs more optimization.
8 149 0.489635894172 Henry Cohn, 2026, needs more optimization.
8 150 0.489666842545 Henry Cohn, 2026, needs more optimization.
8 151 0.490671101615 Henry Cohn, 2026, needs more optimization.
8 152 0.491488651766 Henry Cohn, 2026, needs more optimization.
8 153 0.492431921189 Henry Cohn, 2026, needs more optimization.
8 154 0.492641314470 Henry Cohn, 2026, needs more optimization.
8 155 0.493016038242 Henry Cohn, 2026, needs more optimization.
8 156 0.493413536849 Henry Cohn, 2026, needs more optimization.
8 157 0.493603733157 Henry Cohn, 2026, needs more optimization.
8 158 0.494119263074 Henry Cohn, 2026, needs more optimization.
8 159 0.494321089484 Henry Cohn, 2026, needs more optimization.
8 160 0.494834847632 Henry Cohn, 2026, needs more optimization.
8 161 0.496371792201 Henry Cohn, 2026, needs more optimization.
8 162 0.496385610568 Henry Cohn, 2026, needs more optimization.
8 163 0.496832310478 Henry Cohn, 2026, needs more optimization.
8 164 0.497018272579 Henry Cohn, 2026, needs more optimization.
8 165 0.497146260363 Henry Cohn, 2026, needs more optimization.
8 166 0.497169845299 Henry Cohn, 2026, needs more optimization.
8 167 0.497808646859 Henry Cohn, 2026, needs more optimization.
8 168 0.498096499756 Henry Cohn, 2026, needs more optimization.
8 169 0.498239568292 Henry Cohn, 2026, needs more optimization.
8 170 0.498777468614 Henry Cohn, 2026, needs more optimization.
8 171 0.499092410900 Henry Cohn, 2026, needs more optimization.
8 172 0.499223159142 Henry Cohn, 2026, needs more optimization.
8 173 0.499469835820 Henry Cohn, 2026, needs more optimization.
8 174 0.499702598242 Henry Cohn, 2026, needs more optimization.
8 176 0.499976610849 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 0.539501901248 Henry Cohn, 2024, needs more optimization.
8 242 0.544143039799 Henry Cohn, 2026, needs more optimization.
8 243 0.547309460153 Henry Cohn, 2026, needs more optimization.
8 244 0.549393686751 Henry Cohn, 2026, needs more optimization.
8 245 0.551505630535 Henry Cohn, 2026, needs more optimization.
8 246 0.553445358863 Henry Cohn, 2026, needs more optimization.
8 247 0.555289542082 Henry Cohn, 2026, needs more optimization.
8 248 0.557106085461 Henry Cohn, 2026, needs more optimization.
8 249 0.559174278894 Henry Cohn, 2026, needs more optimization.
8 250 0.560485913855 Henry Cohn, 2026, needs more optimization.
8 251 0.561372013377 Henry Cohn, 2026, needs more optimization.
8 252 0.562684715696 Henry Cohn, 2026, needs more optimization.
8 253 0.564106238289 Henry Cohn, 2026, needs more optimization.
8 254 0.564223591714 Henry Cohn, 2026, needs more optimization.
8 255 0.564245324566 Henry Cohn, 2026, needs more optimization.
8 256 0.564576375351 Henry Cohn, 2026, needs more optimization.
8 257 0.564971222150 Henry Cohn, 2026, needs more optimization.
8 258 0.566631755205 Henry Cohn, 2026, needs more optimization.
8 259 0.568548907781 Henry Cohn, 2026, needs more optimization.
8 260 0.568604014304 Henry Cohn, 2026, needs more optimization.
8 261 0.569474413871 Henry Cohn, 2026, needs more optimization.
8 262 0.570035807746 Henry Cohn, 2026, needs more optimization.
8 263 0.571089295582 Henry Cohn, 2026, needs more optimization.
8 264 0.571403532597 Henry Cohn, 2026, needs more optimization.
8 265 0.572176777416 Henry Cohn, 2026, needs more optimization.
8 266 0.572624109143 Henry Cohn, 2026, needs more optimization.
8 267 0.573379129891 Henry Cohn, 2026, needs more optimization.
8 268 0.573583849050 Henry Cohn, 2026, needs more optimization.
8 269 0.574353429648 Henry Cohn, 2026, needs more optimization.
8 270 0.574627466701 Henry Cohn, 2026, needs more optimization.
8 271 0.575529358084 Henry Cohn, 2026, needs more optimization.
8 272 0.576385489313 Henry Cohn, 2026, needs more optimization.
8 273 0.577175122048 Henry Cohn, 2026, needs more optimization.
8 274 0.577466758817 Henry Cohn, 2026, needs more optimization.
8 275 0.577886480304 Henry Cohn, 2026, needs more optimization.
8 276 0.578735523009 Henry Cohn, 2026, needs more optimization.
8 277 0.579500656215 Henry Cohn, 2026, needs more optimization.
8 278 0.579954448797 Henry Cohn, 2026, needs more optimization.
8 279 0.580717715339 Henry Cohn, 2026, needs more optimization.
8 280 0.581396640480 Henry Cohn, 2026, needs more optimization.
8 281 0.581540805812 Henry Cohn, 2026, needs more optimization.
8 282 0.582273098414 Henry Cohn, 2026, needs more optimization.
8 283 0.582807345567 Henry Cohn, 2026, needs more optimization.
8 284 0.582827393477 Henry Cohn, 2026, needs more optimization.
8 285 0.584366238540 Henry Cohn, 2026, needs more optimization.
8 286 0.584413012917 Henry Cohn, 2026, needs more optimization.
8 287 0.584437581918 Henry Cohn, 2026, needs more optimization.
8 288 0.584443066609 Henry Cohn, 2026, needs more optimization.
8 289 0.585021832591 Henry Cohn, 2026, needs more optimization.
8 290 0.585254785488 Henry Cohn, 2026, needs more optimization.
8 291 0.586204684358 Henry Cohn, 2026, needs more optimization.
8 292 0.586642443213 Henry Cohn, 2026, needs more optimization.
8 293 0.586654592344 Henry Cohn, 2026, needs more optimization.
8 294 0.586748194284 Henry Cohn, 2026, needs more optimization.
8 295 0.588112771309 Henry Cohn, 2026, needs more optimization.
8 296 0.588199386320 Henry Cohn, 2026, needs more optimization.
8 297 0.589640015721 Henry Cohn, 2026, needs more optimization.
8 298 0.590529708590 Henry Cohn, 2026, needs more optimization.
8 299 0.590530368519 Henry Cohn, 2026, needs more optimization.
8 300 0.590530474752 Henry Cohn, 2026, needs more optimization.
8 301 0.590551724870 Henry Cohn, 2026, needs more optimization.
8 302 0.590573469709 Henry Cohn, 2026, needs more optimization.
8 303 0.590579384274 Henry Cohn, 2026, needs more optimization.
8 304 0.590593412755 Henry Cohn, 2026, needs more optimization.
8 305 0.590645041664 Henry Cohn, 2026, needs more optimization.
8 306 0.590695215622 Henry Cohn, 2026, needs more optimization.
8 307 0.590771818963 Henry Cohn, 2026, needs more optimization.
8 308 0.590980708505 Henry Cohn, 2026, needs more optimization.
8 309 0.590981713832 Henry Cohn, 2026, needs more optimization.
8 310 0.591756423601 Henry Cohn, 2026, needs more optimization.
8 311 0.592706935382 Henry Cohn, 2026, needs more optimization.
8 312 0.593720044214 Henry Cohn, 2026, needs more optimization.
8 313 0.594306170406 Henry Cohn, 2026, needs more optimization.
8 314 0.594425718413 Henry Cohn, 2026, needs more optimization.
8 315 0.594751031904 Henry Cohn, 2026, needs more optimization.
8 316 0.594782990879 Henry Cohn, 2026, needs more optimization.
8 317 0.595141560439 Henry Cohn, 2026, needs more optimization.
8 318 0.595165479000 Henry Cohn, 2026, needs more optimization.
8 319 0.595277329738 Henry Cohn, 2026, needs more optimization.
8 320 0.595808799086 Henry Cohn, 2026, needs more optimization.
8 321 0.596362189310 Henry Cohn, 2026, needs more optimization.
8 322 0.597017443944 Henry Cohn, 2026, needs more optimization.
8 323 0.597598364197 Henry Cohn, 2026, needs more optimization.
8 324 0.598046711572 Henry Cohn, 2026, needs more optimization.
8 325 0.598652896354 Henry Cohn, 2026, needs more optimization.
8 326 0.599039522013 Henry Cohn, 2026, needs more optimization.
8 327 0.599969741950 Henry Cohn, 2026, needs more optimization.
8 328 0.600374600221 Henry Cohn, 2026, needs more optimization.
8 329 0.600657547525 Henry Cohn, 2026, needs more optimization.
8 330 0.600681718979 Henry Cohn, 2026, needs more optimization.
8 331 0.600909523793 Henry Cohn, 2026, needs more optimization.
8 332 0.600926356709 Henry Cohn, 2026, needs more optimization.
8 333 0.601658936091 Henry Cohn, 2026, needs more optimization.
8 334 0.601892006070 Henry Cohn, 2026, needs more optimization.
8 335 0.602168163201 Henry Cohn, 2026, needs more optimization.
8 336 0.602788886407 Henry Cohn, 2026, needs more optimization.
8 337 0.602909030213 Henry Cohn, 2026, needs more optimization.
8 338 0.603046728609 Henry Cohn, 2026, needs more optimization.
8 339 0.603097870994 Henry Cohn, 2026, needs more optimization.
8 340 0.603151119540 Henry Cohn, 2026, needs more optimization.
8 341 0.603169058114 Henry Cohn, 2026, needs more optimization.
8 342 0.603171268491 Henry Cohn, 2026, needs more optimization.
8 343 0.604257042115 Henry Cohn, 2026, needs more optimization.
8 344 0.604339358251 Henry Cohn, 2026, needs more optimization.
8 345 0.604470646371 Henry Cohn, 2026, needs more optimization.
8 346 0.604492004275 Henry Cohn, 2026, needs more optimization.
8 347 0.604494397119 Henry Cohn, 2026, needs more optimization.
8 348 0.604500546497 Henry Cohn, 2026, needs more optimization.
8 349 0.604510081750 Henry Cohn, 2026, needs more optimization.
8 350 0.604521902113 Henry Cohn, 2026, needs more optimization.
8 351 0.604529022223 Henry Cohn, 2026, needs more optimization.
8 352 0.604548381049 Henry Cohn, 2026, needs more optimization.
8 353 0.604549717364 Henry Cohn, 2026, needs more optimization.
8 354 0.604555192274 Henry Cohn, 2026, needs more optimization.
8 355 0.604703814013 Henry Cohn, 2026, needs more optimization.
8 356 0.606392234700 Henry Cohn, 2026, needs more optimization.
8 357 0.606595125920 Henry Cohn, 2026, needs more optimization.
8 358 0.606830419036 Henry Cohn, 2026, needs more optimization.
8 359 0.607041299088 Henry Cohn, 2026, needs more optimization.
8 360 0.607060005341 Henry Cohn, 2026, needs more optimization.
8 361 0.611274612101 Henry Cohn, 2026, needs more optimization.
8 362 0.611499272907 Henry Cohn, 2026, needs more optimization.
8 363 0.611741954289 Henry Cohn, 2026, needs more optimization.
8 364 0.611957160905 Henry Cohn, 2026, needs more optimization.
8 365 0.612010386527 Henry Cohn, 2026, needs more optimization.
8 366 0.612280783807 Henry Cohn, 2026, needs more optimization.
8 367 0.612290455923 Henry Cohn, 2026, needs more optimization.
8 368 0.612346942027 Henry Cohn, 2026, needs more optimization.
8 369 0.612458831425 Henry Cohn, 2026, needs more optimization.
8 370 0.614855024163 Henry Cohn, 2026, needs more optimization.
8 371 0.615000813888 Henry Cohn, 2026, needs more optimization.
8 372 0.615516680560 Henry Cohn, 2026, needs more optimization.
8 373 0.616938111750 Henry Cohn, 2026, needs more optimization.
8 374 0.617683055511 Henry Cohn, 2026, needs more optimization.
8 375 0.618591118590 Henry Cohn, 2026, needs more optimization.
8 376 0.618791248384 Henry Cohn, 2026, needs more optimization.
8 377 0.619328117990 Henry Cohn, 2026, needs more optimization.
8 378 0.621738211730 Henry Cohn, 2026, needs more optimization.
8 379 0.622190066780 Henry Cohn, 2026, needs more optimization.
8 380 0.622851769850 Henry Cohn, 2026, needs more optimization.
8 381 0.624178872047 Henry Cohn, 2026, needs more optimization.
8 382 0.624733872287 Henry Cohn, 2026, needs more optimization.
8 383 0.624903979604 Henry Cohn, 2026, needs more optimization.
8 384 0.625060262743 Henry Cohn, 2026, needs more optimization.
8 385 0.625412167493 Henry Cohn, 2026, needs more optimization.
8 386 0.625773788363 Henry Cohn, 2026, needs more optimization.
8 387 0.625924288124 Henry Cohn, 2026, needs more optimization.
8 388 0.626423584940 Henry Cohn, 2026, needs more optimization.
8 389 0.626849996165 Henry Cohn, 2026, needs more optimization.
8 390 0.627117857305 Henry Cohn, 2026, needs more optimization.
8 391 0.627588430995 Henry Cohn, 2026, needs more optimization.
8 392 0.627846542533 Henry Cohn, 2026, needs more optimization.
8 393 0.628184986892 Henry Cohn, 2026, needs more optimization.
8 394 0.628340944634 Henry Cohn, 2026, needs more optimization.
8 395 0.628625964135 Henry Cohn, 2026, needs more optimization.
8 396 0.629053383013 Henry Cohn, 2026, needs more optimization.
8 397 0.629130339934 Henry Cohn, 2026, needs more optimization.
8 398 0.629543611719 Henry Cohn, 2026, needs more optimization.
8 399 0.629873931645 Henry Cohn, 2026, needs more optimization.
8 400 0.630161117520 Henry Cohn, 2026, needs more optimization.
8 401 0.630350403911 Henry Cohn, 2026, needs more optimization.
8 402 0.630562147821 Henry Cohn, 2026, needs more optimization.
8 403 0.630813707523 Henry Cohn, 2026, needs more optimization.
8 404 0.631501435856 Henry Cohn, 2026, needs more optimization.
8 405 0.631984522224 Henry Cohn, 2026, needs more optimization.
8 406 0.632074440615 Henry Cohn, 2026, needs more optimization.
8 407 0.632320984440 Henry Cohn, 2026, needs more optimization.
8 408 0.632617230607 Henry Cohn, 2026, needs more optimization.
8 409 0.632761285372 Henry Cohn, 2026, needs more optimization.
8 410 0.633085822581 Henry Cohn, 2026, needs more optimization.
8 411 0.633349099874 Henry Cohn, 2026, needs more optimization.
8 412 0.633650228791 Henry Cohn, 2026, needs more optimization.
8 413 0.633920614751 Henry Cohn, 2026, needs more optimization.
8 414 0.634134606751 Henry Cohn, 2026, needs more optimization.
8 415 0.634368860618 Henry Cohn, 2026, needs more optimization.
8 416 0.634697816333 Henry Cohn, 2026, needs more optimization.
8 417 0.634794302848 Henry Cohn, 2026, needs more optimization.
8 418 0.634864041155 Henry Cohn, 2026, needs more optimization.
8 419 0.634999726432 Henry Cohn, 2026, needs more optimization.
8 420 0.635094410892 Henry Cohn, 2026, needs more optimization.
8 421 0.635246438194 Henry Cohn, 2026, needs more optimization.
8 422 0.635726035072 Henry Cohn, 2026, needs more optimization.
8 423 0.635761776376 Henry Cohn, 2026, needs more optimization.
8 424 0.635873987341 Henry Cohn, 2026, needs more optimization.
8 425 0.636106335840 Henry Cohn, 2026, needs more optimization.
8 426 0.636204730871 Henry Cohn, 2026, needs more optimization.
8 427 0.636439773970 Henry Cohn, 2026, needs more optimization.
8 428 0.636539068233 Henry Cohn, 2026, needs more optimization.
8 429 0.636852573061 Henry Cohn, 2026, needs more optimization.
8 430 0.636919847982 Henry Cohn, 2026, needs more optimization.
8 431 0.637225268437 Henry Cohn, 2026, needs more optimization.
8 432 0.637312808398 Henry Cohn, 2026, needs more optimization.
8 433 0.637688549607 Henry Cohn, 2026, needs more optimization.
8 434 0.637966632244 Henry Cohn, 2026, needs more optimization.
8 435 0.638003604746 Henry Cohn, 2026, needs more optimization.
8 436 0.638143752778 Henry Cohn, 2026, needs more optimization.
8 437 0.638821061395 Henry Cohn, 2026, needs more optimization.
8 438 0.639275057398 Henry Cohn, 2026, needs more optimization.
8 439 0.639526273416 Henry Cohn, 2026, needs more optimization.
8 440 0.639639430844 Henry Cohn, 2026, needs more optimization.
8 441 0.639739662991 Henry Cohn, 2026, needs more optimization.
8 442 0.639961301894 Henry Cohn, 2026, needs more optimization.
8 443 0.640129772331 Henry Cohn, 2026, needs more optimization.
8 444 0.640183304234 Henry Cohn, 2026, needs more optimization.
8 445 0.640373811344 Henry Cohn, 2026, needs more optimization.
8 446 0.640637189654 Henry Cohn, 2026, needs more optimization.
8 447 0.640930475791 Henry Cohn, 2026, needs more optimization.
8 448 0.641215443258 Henry Cohn, 2026, needs more optimization.
8 449 0.641514230731 Henry Cohn, 2026, needs more optimization.
8 450 0.641542826514 Henry Cohn, 2026, needs more optimization.
8 451 0.641559772312 Henry Cohn, 2026, needs more optimization.
8 452 0.641580592021 Henry Cohn, 2026, needs more optimization.
8 453 0.641659554998 Henry Cohn, 2026, needs more optimization.
8 454 0.641706584409 Henry Cohn, 2026, needs more optimization.
8 455 0.641753218769 Henry Cohn, 2026, needs more optimization.
8 456 0.641918638476 Henry Cohn, 2026, needs more optimization.
8 457 0.641976412170 Henry Cohn, 2026, needs more optimization.
8 458 0.641997153246 Henry Cohn, 2026, needs more optimization.
8 459 0.642003812276 Henry Cohn, 2026, needs more optimization.
8 460 0.642088754957 Henry Cohn, 2026, needs more optimization.
8 461 0.642136729435 Henry Cohn, 2026, needs more optimization.
8 462 0.642188541647 Henry Cohn, 2026, needs more optimization.
8 463 0.642269202008 Henry Cohn, 2026, needs more optimization.
8 464 0.642314060180 Henry Cohn, 2026, needs more optimization.
8 465 0.642403265891 Henry Cohn, 2026, needs more optimization.
8 466 0.642557554027 Henry Cohn, 2026, needs more optimization.
8 467 0.642697862636 Henry Cohn, 2026, needs more optimization.
8 468 0.642937078101 Henry Cohn, 2026, needs more optimization.
8 469 0.643132133269 Henry Cohn, 2026, needs more optimization.
8 470 0.643311222886 Henry Cohn, 2026, needs more optimization.
8 471 0.643487028907 Henry Cohn, 2026, needs more optimization.
8 472 0.643658799021 Henry Cohn, 2026, needs more optimization.
8 473 0.643826106253 Henry Cohn, 2026, needs more optimization.
8 474 0.643841388225 Henry Cohn, 2026, needs more optimization.
8 475 0.644062253065 Henry Cohn, 2026, needs more optimization.
8 476 0.644205658011 Henry Cohn, 2026, needs more optimization.
8 477 0.644355151156 Henry Cohn, 2026, needs more optimization.
8 478 0.644660382344 Henry Cohn, 2026, needs more optimization.
8 479 0.644783783666 Henry Cohn, 2026, needs more optimization.
8 480 0.645245963070 Henry Cohn, 2026, needs more optimization.
8 481 0.645393141349 Henry Cohn, 2026, needs more optimization.
8 482 0.645560503267 Henry Cohn, 2026, needs more optimization.
8 483 0.645634350533 Henry Cohn, 2026, needs more optimization.
8 484 0.646174647137 Henry Cohn, 2026, needs more optimization.
8 485 0.646396975851 Henry Cohn, 2026, needs more optimization.
8 486 0.646820628495 Henry Cohn, 2026, needs more optimization.
8 487 0.647268918810 Henry Cohn, 2026, needs more optimization.
8 488 0.647388396886 Henry Cohn, 2026, needs more optimization.
8 489 0.647419059085 Henry Cohn, 2026, needs more optimization.
8 490 0.647737684969 Henry Cohn, 2026, needs more optimization.
8 491 0.648010983712 Henry Cohn, 2026, needs more optimization.
8 492 0.648478467130 Henry Cohn, 2026, needs more optimization.
8 493 0.648782090278 Henry Cohn, 2026, needs more optimization.
8 494 0.649063101857 Henry Cohn, 2026, needs more optimization.
8 495 0.649069257868 Henry Cohn, 2026, needs more optimization.
8 496 0.649079417934 Henry Cohn, 2026, needs more optimization.
8 497 0.649152656447 Henry Cohn, 2026, needs more optimization.
8 498 0.649183095672 Henry Cohn, 2026, needs more optimization.
8 499 0.649390289061 Henry Cohn, 2026, needs more optimization.
8 500 0.649643102245 Henry Cohn, 2026, needs more optimization.
8 501 0.650030867797 Henry Cohn, 2026, needs more optimization.
8 502 0.650201463633 Henry Cohn, 2026, needs more optimization.
8 503 0.650240203033 Henry Cohn, 2026, needs more optimization.
8 504 0.650346168443 Henry Cohn, 2026, needs more optimization.
8 505 0.650419430651 Henry Cohn, 2026, needs more optimization.
8 506 0.651019916123 Henry Cohn, 2026, needs more optimization.
8 507 0.651484992610 Henry Cohn, 2026, needs more optimization.
8 508 0.651597762877 Henry Cohn, 2026, needs more optimization.
8 509 0.651806752907 Henry Cohn, 2026, needs more optimization.
8 510 0.652113349251 Henry Cohn, 2026, needs more optimization.
8 511 0.652190874376 Henry Cohn, 2026, needs more optimization.
8 512 0.652237123788 Henry Cohn, 2026, needs more optimization.
8 513 0.652399678713 Henry Cohn, 2026, needs more optimization.
8 514 0.652415595387 Henry Cohn, 2026, needs more optimization.
8 515 0.652437834204 Henry Cohn, 2026, needs more optimization.
8 516 0.652717179388 Henry Cohn, 2026, needs more optimization.
8 517 0.652824999166 Henry Cohn, 2026, needs more optimization.
8 518 0.653056183378 Henry Cohn, 2026, needs more optimization.
8 519 0.653308948436 Henry Cohn, 2026, needs more optimization.
8 520 0.653663918865 Henry Cohn, 2026, needs more optimization.
8 521 0.653794144811 Henry Cohn, 2026, needs more optimization.
8 522 0.654350943418 Henry Cohn, 2026, needs more optimization.
8 523 0.654778530627 Henry Cohn, 2026, needs more optimization.
8 524 0.654901883366 Henry Cohn, 2026, needs more optimization.
8 525 0.655226119704 Henry Cohn, 2026, needs more optimization.
8 526 0.655410319276 Henry Cohn, 2026, needs more optimization.
8 527 0.655575499449 Henry Cohn, 2026, needs more optimization.
8 528 0.655798169611 Henry Cohn, 2026, needs more optimization.
8 529 0.655991235423 Henry Cohn, 2026, needs more optimization.
8 530 0.656281168719 Henry Cohn, 2026, needs more optimization.
8 531 0.656448812198 Henry Cohn, 2026, needs more optimization.
8 532 0.656456142641 Henry Cohn, 2026, needs more optimization.
8 533 0.656495828971 Henry Cohn, 2026, needs more optimization.
8 534 0.656520516492 Henry Cohn, 2026, needs more optimization.
8 535 0.656803863615 Henry Cohn, 2026, needs more optimization.
8 536 0.657114177792 Henry Cohn, 2026, needs more optimization.
8 537 0.657166975723 Henry Cohn, 2026, needs more optimization.
8 538 0.657361108187 Henry Cohn, 2026, needs more optimization.
8 539 0.657522842735 Henry Cohn, 2026, needs more optimization.
8 540 0.657859991415 Henry Cohn, 2026, needs more optimization.
8 541 0.657998754611 Henry Cohn, 2026, needs more optimization.
8 542 0.658036180162 Henry Cohn, 2026, needs more optimization.
8 543 0.658326580890 Henry Cohn, 2026, needs more optimization.
8 544 0.658651332816 Henry Cohn, 2026, needs more optimization.
8 545 0.658874122507 Henry Cohn, 2026, needs more optimization.
8 546 0.659020947227 Henry Cohn, 2026, needs more optimization.
8 547 0.659354098673 Henry Cohn, 2026, needs more optimization.
8 548 0.659552203723 Henry Cohn, 2026, needs more optimization.
8 549 0.659638500629 Henry Cohn, 2026, needs more optimization.
8 550 0.659640277223 Henry Cohn, 2026, needs more optimization.
8 551 0.659974097623 Henry Cohn, 2026, needs more optimization.
8 552 0.660509394984 Henry Cohn, 2026, needs more optimization.
8 553 0.660639840119 Henry Cohn, 2026, needs more optimization.
8 554 0.660781987016 Henry Cohn, 2026, needs more optimization.
8 555 0.660877673329 Henry Cohn, 2026, needs more optimization.
8 556 0.661121209418 Henry Cohn, 2026, needs more optimization.
8 557 0.661273881195 Henry Cohn, 2026, needs more optimization.
8 558 0.661417157920 Henry Cohn, 2026, needs more optimization.
8 559 0.661750712563 Henry Cohn, 2026, needs more optimization.
8 560 0.661921205189 Henry Cohn, 2026, needs more optimization.
8 561 0.662040051313 Henry Cohn, 2026, needs more optimization.
8 562 0.662315355121 Henry Cohn, 2026, needs more optimization.
8 563 0.662448403580 Henry Cohn, 2026, needs more optimization.
8 564 0.662592968484 Henry Cohn, 2026, needs more optimization.
8 565 0.662701559814 Henry Cohn, 2026, needs more optimization.
8 566 0.662773873158 Henry Cohn, 2026, needs more optimization.
8 567 0.662796619688 Henry Cohn, 2026, needs more optimization.
8 568 0.662923790147 Henry Cohn, 2026, needs more optimization.
8 569 0.663104515425 Henry Cohn, 2026, needs more optimization.
8 570 0.663144996732 Henry Cohn, 2026, needs more optimization.
8 571 0.663323697033 Henry Cohn, 2026, needs more optimization.
8 572 0.663484072238 Henry Cohn, 2026, needs more optimization.
8 573 0.663533110117 Henry Cohn, 2026, needs more optimization.
8 574 0.663813783299 Henry Cohn, 2026, needs more optimization.
8 575 0.663947649346 Henry Cohn, 2026, needs more optimization.
8 576 0.664023376963 Henry Cohn, 2026, needs more optimization.
8 577 0.664101784115 Henry Cohn, 2026, needs more optimization.
8 578 0.664203119505 Henry Cohn, 2026, needs more optimization.
8 579 0.664364359201 Henry Cohn, 2026, needs more optimization.
8 580 0.664420338686 Henry Cohn, 2026, needs more optimization.
8 581 0.664537466265 Henry Cohn, 2026, needs more optimization.
8 582 0.664559686335 Henry Cohn, 2026, needs more optimization.
8 583 0.664770488928 Henry Cohn, 2026, needs more optimization.
8 584 0.664777784115 Henry Cohn, 2026, needs more optimization.
8 585 0.664795724400 Henry Cohn, 2026, needs more optimization.
8 586 0.664876870232 Henry Cohn, 2026, needs more optimization.
8 587 0.664960659307 Henry Cohn, 2026, needs more optimization.
8 588 0.665040485524 Henry Cohn, 2026, needs more optimization.
8 589 0.665217448398 Henry Cohn, 2026, needs more optimization.
8 590 0.665283846804 Henry Cohn, 2026, needs more optimization.
8 591 0.665290048009 Henry Cohn, 2026, needs more optimization.
8 592 0.665302300286 Henry Cohn, 2026, needs more optimization.
8 593 0.665318239649 Henry Cohn, 2026, needs more optimization.
8 594 0.665340149351 Henry Cohn, 2026, needs more optimization.
8 595 0.665347438358 Henry Cohn, 2026, needs more optimization.
8 596 0.665371710570 Henry Cohn, 2026, needs more optimization.
8 597 0.665397487413 Henry Cohn, 2026, needs more optimization.
8 598 0.665412432754 Henry Cohn, 2026, needs more optimization.
8 599 0.665431540207 Henry Cohn, 2026, needs more optimization.
8 600 0.665450333585 Henry Cohn, 2026, needs more optimization.
8 601 0.665466384586 Henry Cohn, 2026, needs more optimization.
8 602 0.665474151406 Henry Cohn, 2026, needs more optimization.
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8 604 0.665503163194 Henry Cohn, 2026, needs more optimization.
8 605 0.665523750947 Henry Cohn, 2026, needs more optimization.
8 606 0.665554705034 Henry Cohn, 2026, needs more optimization.
8 607 0.665565179114 Henry Cohn, 2026, needs more optimization.
8 608 0.665587454660 Henry Cohn, 2026, needs more optimization.
8 609 0.665624709230 Henry Cohn, 2026, needs more optimization.
8 610 0.665642500109 Henry Cohn, 2026, needs more optimization.
8 611 0.665657674427 Henry Cohn, 2026, needs more optimization.
8 612 0.665668506289 Henry Cohn, 2026, needs more optimization.
8 613 0.665682921665 Henry Cohn, 2026, needs more optimization.
8 614 0.665691285948 Henry Cohn, 2026, needs more optimization.
8 615 0.665727459025 Henry Cohn, 2026, needs more optimization.
8 616 0.665737433596 Henry Cohn, 2026, needs more optimization.
8 617 0.665738859417 Henry Cohn, 2026, needs more optimization.
8 618 0.665762803562 Henry Cohn, 2026, needs more optimization.
8 619 0.665896367428 Henry Cohn, 2026, needs more optimization.
8 620 0.665965788914 Henry Cohn, 2026, needs more optimization.
8 621 0.666004350065 Henry Cohn, 2026, needs more optimization.
8 622 0.666015517298 Henry Cohn, 2026, needs more optimization.
8 623 0.666034247442 Henry Cohn, 2026, needs more optimization.
8 624 0.666041231972 Henry Cohn, 2026, needs more optimization.
8 625 0.666142992876 Henry Cohn, 2026, needs more optimization.
8 626 0.666176803740 Henry Cohn, 2026, needs more optimization.
8 627 0.666213541043 Henry Cohn, 2026, needs more optimization.
8 628 0.666283093268 Henry Cohn, 2026, needs more optimization.
8 629 0.666338421789 Henry Cohn, 2026, needs more optimization.
8 632 0.666374893246 Henry Cohn, 2026, needs more optimization.
8 635 0.666401754811 Henry Cohn, 2026, needs more optimization.
8 638 0.666514110588 Henry Cohn, 2026, needs more optimization.
8 639 0.666520623618 Henry Cohn, 2026, needs more optimization.
8 640 0.666576952518 Henry Cohn, 2026, needs more optimization.
8 641 0.666649377392 Henry Cohn, 2026, needs more optimization.
8 642 0.666690175133 Henry Cohn, 2026, needs more optimization.
8 643 0.666782326604 Henry Cohn, 2026, needs more optimization.
8 644 0.666845286967 Henry Cohn, 2026, needs more optimization.
8 645 0.666980506471 Henry Cohn, 2026, needs more optimization.
8 646 0.667028344887 Henry Cohn, 2026, needs more optimization.
8 647 0.667112059780 Henry Cohn, 2026, needs more optimization.
8 648 0.667114470380 Henry Cohn, 2026, needs more optimization.
8 649 0.667263001386 Henry Cohn, 2026, needs more optimization.
8 651 0.667282958433 Henry Cohn, 2026, needs more optimization.
8 652 0.667314591633 Henry Cohn, 2026, needs more optimization.
8 653 0.667324201129 Henry Cohn, 2026, needs more optimization.
8 655 0.667347117891 Henry Cohn, 2026, needs more optimization.
8 656 0.667355856303 Henry Cohn, 2026, needs more optimization.
8 658 0.667362226728 Henry Cohn, 2026, needs more optimization.
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8 660 0.667975925935 Henry Cohn, 2026, needs more optimization.
8 661 0.668176240956 Henry Cohn, 2026, needs more optimization.
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8 663 0.668473473394 Henry Cohn, 2026, needs more optimization.
8 664 0.668729755044 Henry Cohn, 2026, needs more optimization.
8 665 0.669633251172 Henry Cohn, 2026, needs more optimization.
8 666 0.669647548178 Henry Cohn, 2026, needs more optimization.
8 667 0.669652249775 Henry Cohn, 2026, needs more optimization.
8 668 0.669709732912 Henry Cohn, 2026, needs more optimization.
8 669 0.670139245736 Henry Cohn, 2026, needs more optimization.
8 670 0.670194717297 Henry Cohn, 2026, needs more optimization.
8 671 0.670898595421 Henry Cohn, 2026, needs more optimization.
8 672 0.670981406944 Henry Cohn, 2026, needs more optimization.
8 673 0.671273734904 Henry Cohn, 2026, needs more optimization.
8 674 0.671598697039 Henry Cohn, 2026, needs more optimization.
8 675 0.672037573917 Henry Cohn, 2026, needs more optimization.
8 676 0.672092918953 Henry Cohn, 2026, needs more optimization.
8 677 0.672614604320 Henry Cohn, 2026, needs more optimization.
8 678 0.672889027010 Henry Cohn, 2026, needs more optimization.
8 679 0.673168615603 Henry Cohn, 2026, needs more optimization.
8 680 0.673424548922 Henry Cohn, 2026, needs more optimization.
8 681 0.673460630980 Henry Cohn, 2026, needs more optimization.
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8 683 0.673501378843 Henry Cohn, 2026, needs more optimization.
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8 685 0.674085439296 Henry Cohn, 2026, needs more optimization.
8 686 0.674233547916 Henry Cohn, 2026, needs more optimization.
8 687 0.674568304806 Henry Cohn, 2026, needs more optimization.
8 688 0.674956567375 Henry Cohn, 2026, needs more optimization.
8 689 0.675189788900 Henry Cohn, 2026, needs more optimization.
8 690 0.675542930677 Henry Cohn, 2026, needs more optimization.
8 691 0.676077196952 Henry Cohn, 2026, needs more optimization.
8 692 0.676455524915 Henry Cohn, 2026, needs more optimization.
8 693 0.676927372086 Henry Cohn, 2026, needs more optimization.
8 694 0.677382150764 Henry Cohn, 2026, needs more optimization.
8 695 0.677471017744 Henry Cohn, 2026, needs more optimization.
8 696 0.677698373117 Henry Cohn, 2026, needs more optimization.
8 697 0.677825850658 Henry Cohn, 2026, needs more optimization.
8 698 0.678237195257 Henry Cohn, 2026, needs more optimization.
8 699 0.678462576214 Henry Cohn, 2026, needs more optimization.
8 700 0.678640772224 Henry Cohn, 2026, needs more optimization.
8 701 0.679091308411 Henry Cohn, 2026, needs more optimization.
8 702 0.679321401679 Henry Cohn, 2026, needs more optimization.
8 703 0.679815655228 Henry Cohn, 2026, needs more optimization.
8 704 0.680167531068 Henry Cohn, 2026, needs more optimization.
8 705 0.680275073591 Henry Cohn, 2026, needs more optimization.
8 706 0.680447672975 Henry Cohn, 2026, needs more optimization.
8 707 0.680548984296 Henry Cohn, 2026, needs more optimization.
8 708 0.680620258837 Henry Cohn, 2026, needs more optimization.
8 709 0.680930215916 Henry Cohn, 2026, needs more optimization.
8 710 0.681426384192 Henry Cohn, 2026, needs more optimization.
8 711 0.681582059789 Henry Cohn, 2026, needs more optimization.
8 712 0.681918190591 Henry Cohn, 2026, needs more optimization.
8 713 0.682080554121 Henry Cohn, 2026, needs more optimization.
8 714 0.682479864615 Henry Cohn, 2026, needs more optimization.
8 715 0.682484172424 Henry Cohn, 2026, needs more optimization.
8 716 0.682957376258 Henry Cohn, 2026, needs more optimization.
8 717 0.683269607931 Henry Cohn, 2026, needs more optimization.
8 718 0.683544363745 Henry Cohn, 2026, needs more optimization.
8 719 0.683556362354 Henry Cohn, 2026, needs more optimization.
8 720 0.683921632389 Henry Cohn, 2026, needs more optimization.
8 721 0.684080502551 Henry Cohn, 2026, needs more optimization.
8 722 0.684099671269 Henry Cohn, 2026, needs more optimization.
8 723 0.684359562761 Henry Cohn, 2026, needs more optimization.
8 724 0.684591776221 Henry Cohn, 2026, needs more optimization.
8 725 0.685005694603 Henry Cohn, 2026, needs more optimization.
8 726 0.685157382873 Henry Cohn, 2026, needs more optimization.
8 727 0.685439291587 Henry Cohn, 2026, needs more optimization.
8 728 0.685514163215 Henry Cohn, 2026, needs more optimization.
8 729 0.685814405956 Henry Cohn, 2026, needs more optimization.
8 730 0.686141285695 Henry Cohn, 2026, needs more optimization.
8 731 0.686258175620 Henry Cohn, 2026, needs more optimization.
8 732 0.686476794147 Henry Cohn, 2026, needs more optimization.
8 733 0.686567189806 Henry Cohn, 2026, needs more optimization.
8 735 0.686896004673 Henry Cohn, 2026, needs more optimization.
8 736 0.687521084730 Henry Cohn, 2026, needs more optimization.
8 737 0.687583002382 Henry Cohn, 2026, needs more optimization.
8 738 0.687693314095 Henry Cohn, 2026, needs more optimization.
8 739 0.687786877299 Henry Cohn, 2026, needs more optimization.
8 740 0.687950463736 Henry Cohn, 2026, needs more optimization.
8 741 0.688138419556 Henry Cohn, 2026, needs more optimization.
8 742 0.688258451934 Henry Cohn, 2026, needs more optimization.
8 743 0.688518504949 Henry Cohn, 2026, needs more optimization.
8 744 0.688523055649 Henry Cohn, 2026, needs more optimization.
8 745 0.688706485885 Henry Cohn, 2026, needs more optimization.
8 746 0.688909714352 Henry Cohn, 2026, needs more optimization.
8 747 0.688952185706 Henry Cohn, 2026, needs more optimization.
8 748 0.689168020272 Henry Cohn, 2026, needs more optimization.
8 749 0.689303609276 Henry Cohn, 2026, needs more optimization.
8 750 0.689305215223 Henry Cohn, 2026, needs more optimization.
8 751 0.689469366606 Henry Cohn, 2026, needs more optimization.
8 752 0.689842289715 Henry Cohn, 2026, needs more optimization.
8 753 0.689982016104 Henry Cohn, 2026, needs more optimization.
8 754 0.690131916231 Henry Cohn, 2026, needs more optimization.
8 755 0.690133921690 Henry Cohn, 2026, needs more optimization.
8 756 0.690135464571 Henry Cohn, 2026, needs more optimization.
8 757 0.690138510940 Henry Cohn, 2026, needs more optimization.
8 758 0.690141749147 Henry Cohn, 2026, needs more optimization.
8 759 0.690144091013 Henry Cohn, 2026, needs more optimization.
8 760 0.690146483719 Henry Cohn, 2026, needs more optimization.
8 761 0.690148621831 Henry Cohn, 2026, needs more optimization.
8 762 0.690183676071 Henry Cohn, 2026, needs more optimization.
8 763 0.690187504635 Henry Cohn, 2026, needs more optimization.
8 764 0.690929359380 Henry Cohn, 2026, needs more optimization.
8 765 0.691009976392 Henry Cohn, 2026, needs more optimization.
8 766 0.691031277375 Henry Cohn, 2026, needs more optimization.
8 767 0.691162043976 Henry Cohn, 2026, needs more optimization.
8 768 0.691298793071 Henry Cohn, 2026, needs more optimization.
8 769 0.691313151276 Henry Cohn, 2026, needs more optimization.
8 770 0.691522340422 Henry Cohn, 2026, needs more optimization.
8 771 0.691672606891 Henry Cohn, 2026, needs more optimization.
8 772 0.691677134006 Henry Cohn, 2026, needs more optimization.
8 773 0.691679956182 Henry Cohn, 2026, needs more optimization.
8 774 0.691765882707 Henry Cohn, 2026, needs more optimization.
8 775 0.691809957551 Henry Cohn, 2026, needs more optimization.
8 776 0.692240408573 Henry Cohn, 2026, needs more optimization.
8 777 0.692365066521 Henry Cohn, 2026, needs more optimization.
8 778 0.692460009472 Henry Cohn, 2026, needs more optimization.
8 779 0.692463127787 Henry Cohn, 2026, needs more optimization.
8 780 0.692536539485 Henry Cohn, 2026, needs more optimization.
8 781 0.692563545347 Henry Cohn, 2026, needs more optimization.
8 782 0.692606664031 Henry Cohn, 2026, needs more optimization.
8 783 0.692723688286 Henry Cohn, 2026, needs more optimization.
8 784 0.692789179726 Henry Cohn, 2026, needs more optimization.
8 785 0.693264200001 Henry Cohn, 2026, needs more optimization.
8 786 0.693500767246 Henry Cohn, 2026, needs more optimization.
8 787 0.693733253905 Henry Cohn, 2026, needs more optimization.
8 788 0.693774711113 Henry Cohn, 2026, needs more optimization.
8 789 0.694044713524 Henry Cohn, 2026, needs more optimization.
8 790 0.694182751597 Henry Cohn, 2026, needs more optimization.
8 791 0.694191498464 Henry Cohn, 2026, needs more optimization.
8 792 0.694208358183 Henry Cohn, 2026, needs more optimization.
8 793 0.694595237147 Henry Cohn, 2026, needs more optimization.
8 794 0.694596917602 Henry Cohn, 2026, needs more optimization.
8 795 0.694633222879 Henry Cohn, 2026, needs more optimization.
8 796 0.694638357183 Henry Cohn, 2026, needs more optimization.
8 797 0.694640519219 Henry Cohn, 2026, needs more optimization.
8 798 0.694833978162 Henry Cohn, 2026, needs more optimization.
8 799 0.694876687315 Henry Cohn, 2026, needs more optimization.
8 800 0.695086344913 Henry Cohn, 2026, needs more optimization.
8 801 0.695324102822 Henry Cohn, 2026, needs more optimization.
8 802 0.695570734233 Henry Cohn, 2026, needs more optimization.
8 803 0.695624271795 Henry Cohn, 2026, needs more optimization.
8 804 0.695878756863 Henry Cohn, 2026, needs more optimization.
8 805 0.696129632092 Henry Cohn, 2026, needs more optimization.
8 806 0.696233091641 Henry Cohn, 2026, needs more optimization.
8 807 0.696240333865 Henry Cohn, 2026, needs more optimization.
8 808 0.696242628931 Henry Cohn, 2026, needs more optimization.
8 809 0.696297567942 Henry Cohn, 2026, needs more optimization.
8 810 0.696300415075 Henry Cohn, 2026, needs more optimization.
8 811 0.696680676869 Henry Cohn, 2026, needs more optimization.
8 812 0.696687582514 Henry Cohn, 2026, needs more optimization.
8 813 0.696825536981 Henry Cohn, 2026, needs more optimization.
8 814 0.697496137895 Henry Cohn, 2026, needs more optimization.
8 815 0.697499254413 Henry Cohn, 2026, needs more optimization.
8 816 0.697540572383 Henry Cohn, 2026, needs more optimization.
8 817 0.697542811944 Henry Cohn, 2026, needs more optimization.
8 818 0.697563341013 Henry Cohn, 2026, needs more optimization.
8 819 0.697595617361 Henry Cohn, 2026, needs more optimization.
8 820 0.697612177314 Henry Cohn, 2026, needs more optimization.
8 821 0.697680315696 Henry Cohn, 2026, needs more optimization.
8 822 0.697888599769 Henry Cohn, 2026, needs more optimization.
8 823 0.697948444277 Henry Cohn, 2026, needs more optimization.
8 824 0.697983511039 Henry Cohn, 2026, needs more optimization.
8 825 0.697989561060 Henry Cohn, 2026, needs more optimization.
8 826 0.698123145585 Henry Cohn, 2026, needs more optimization.
8 827 0.698604395842 Henry Cohn, 2026, needs more optimization.
8 828 0.698606944303 Henry Cohn, 2026, needs more optimization.
8 829 0.698623815402 Henry Cohn, 2026, needs more optimization.
8 830 0.699112361614 Henry Cohn, 2026, needs more optimization.
8 831 0.699115873761 Henry Cohn, 2026, needs more optimization.
8 832 0.699129278990 Henry Cohn, 2026, needs more optimization.
8 833 0.699130202264 Henry Cohn, 2026, needs more optimization.
8 834 0.699137521100 Henry Cohn, 2026, needs more optimization.
8 835 0.699340385045 Henry Cohn, 2026, needs more optimization.
8 837 0.699634038983 Henry Cohn, 2026, needs more optimization.
8 838 0.699649188765 Henry Cohn, 2026, needs more optimization.
8 839 0.699655404675 Henry Cohn, 2026, needs more optimization.
8 840 0.700000218344 Henry Cohn, 2026, needs more optimization.
8 841 0.700484383367 Henry Cohn, 2026, needs more optimization.
8 842 0.700485849433 Henry Cohn, 2026, needs more optimization.
8 843 0.700511052060 Henry Cohn, 2026, needs more optimization.
8 844 0.700515107297 Henry Cohn, 2026, needs more optimization.
8 845 0.700540035486 Henry Cohn, 2026, needs more optimization.
8 846 0.700541721792 Henry Cohn, 2026, needs more optimization.
8 847 0.700550045451 Henry Cohn, 2026, needs more optimization.
8 848 0.700589723361 Henry Cohn, 2026, needs more optimization.
8 849 0.701147673574 Henry Cohn, 2026, needs more optimization.
8 850 0.701150443571 Henry Cohn, 2026, needs more optimization.
8 851 0.701153862024 Henry Cohn, 2026, needs more optimization.
8 852 0.701225278999 Henry Cohn, 2026, needs more optimization.
8 853 0.701534153051 Henry Cohn, 2026, needs more optimization.
8 854 0.701536967441 Henry Cohn, 2026, needs more optimization.
8 855 0.702091855172 Henry Cohn, 2026, needs more optimization.
8 856 0.702094050523 Henry Cohn, 2026, needs more optimization.
8 857 0.702095228799 Henry Cohn, 2026, needs more optimization.
8 858 0.702096313915 Henry Cohn, 2026, needs more optimization.
8 859 0.702261266228 Henry Cohn, 2026, needs more optimization.
8 860 0.702571802138 Henry Cohn, 2026, needs more optimization.
8 861 0.702591545022 Henry Cohn, 2026, needs more optimization.
8 862 0.702959328499 Henry Cohn, 2026, needs more optimization.
8 863 0.702960997217 Henry Cohn, 2026, needs more optimization.
8 864 0.702964183594 Henry Cohn, 2026, needs more optimization.
8 865 0.703036501855 Henry Cohn, 2026, needs more optimization.
8 866 0.703071559114 Henry Cohn, 2026, needs more optimization.
8 867 0.703299381160 Henry Cohn, 2026, needs more optimization.
8 868 0.703322249697 Henry Cohn, 2026, needs more optimization.
8 869 0.703418508975 Henry Cohn, 2026, needs more optimization.
8 870 0.703425720201 Henry Cohn, 2026, needs more optimization.
8 871 0.703592320642 Henry Cohn, 2026, needs more optimization.
8 872 0.703623587223 Henry Cohn, 2026, needs more optimization.
8 873 0.703835928422 Henry Cohn, 2026, needs more optimization.
8 874 0.703841486922 Henry Cohn, 2026, needs more optimization.
8 875 0.703852862197 Henry Cohn, 2026, needs more optimization.
8 876 0.703857969624 Henry Cohn, 2026, needs more optimization.
8 877 0.704326380473 Henry Cohn, 2026, needs more optimization.
8 878 0.704352109796 Henry Cohn, 2026, needs more optimization.
8 879 0.704353566560 Henry Cohn, 2026, needs more optimization.
8 880 0.704357422177 Henry Cohn, 2026, needs more optimization.
8 881 0.704361626721 Henry Cohn, 2026, needs more optimization.
8 882 0.704375319255 Henry Cohn, 2026, needs more optimization.
8 883 0.704575686522 Henry Cohn, 2026, needs more optimization.
8 884 0.704583926690 Henry Cohn, 2026, needs more optimization.
8 885 0.704615618979 Henry Cohn, 2026, needs more optimization.
8 887 0.704984937816 Henry Cohn, 2026, needs more optimization.
8 888 0.704986584097 Henry Cohn, 2026, needs more optimization.
8 889 0.705013739957 Henry Cohn, 2026, needs more optimization.
8 890 0.705032516226 Henry Cohn, 2026, needs more optimization.
8 891 0.705490387255 Henry Cohn, 2026, needs more optimization.
8 892 0.705610655780 Henry Cohn, 2026, needs more optimization.
8 893 0.705629345163 Henry Cohn, 2026, needs more optimization.
8 894 0.705646275363 Henry Cohn, 2026, needs more optimization.
8 895 0.705651886915 Henry Cohn, 2026, needs more optimization.
8 897 0.705652576601 Henry Cohn, 2026, needs more optimization.
8 898 0.705653676142 Henry Cohn, 2026, needs more optimization.
8 899 0.705656356157 Henry Cohn, 2026, needs more optimization.
8 900 0.705692661266 Henry Cohn, 2026, needs more optimization.
8 901 0.705693873585 Henry Cohn, 2026, needs more optimization.
8 902 0.705695586194 Henry Cohn, 2026, needs more optimization.
8 903 0.705703440312 Henry Cohn, 2026, needs more optimization.
8 904 0.705979807517 Henry Cohn, 2026, needs more optimization.
8 905 0.705981381687 Henry Cohn, 2026, needs more optimization.
8 906 0.706422640852 Henry Cohn, 2026, needs more optimization.
8 907 0.706426179437 Henry Cohn, 2026, needs more optimization.
8 908 0.706429972320 Henry Cohn, 2026, needs more optimization.
8 909 0.706433277106 Henry Cohn, 2026, needs more optimization.
8 910 0.706440297532 Henry Cohn, 2026, needs more optimization.
8 911 0.706444015121 Henry Cohn, 2026, needs more optimization.
8 912 0.706447666157 Henry Cohn, 2026, needs more optimization.
8 913 0.706468332591 Henry Cohn, 2026, needs more optimization.
8 914 0.706521645003 Henry Cohn, 2026, needs more optimization.
8 915 0.706848081363 Henry Cohn, 2026, needs more optimization.
8 917 0.706879641181 Henry Cohn, 2026, needs more optimization.
8 918 0.707072979451 Henry Cohn, 2026, needs more optimization.
8 919 0.707074410007 Henry Cohn, 2026, needs more optimization.
8 920 0.707077863822 Henry Cohn, 2026, needs more optimization.
8 921 0.707532403637 Henry Cohn, 2026, needs more optimization.
8 922 0.707536517033 Henry Cohn, 2026, needs more optimization.
8 923 0.707537411803 Henry Cohn, 2026, needs more optimization.
8 924 0.707539224335 Henry Cohn, 2026, needs more optimization.
8 925 0.707540301056 Henry Cohn, 2026, needs more optimization.
8 926 0.707652144221 Henry Cohn, 2026, needs more optimization.
8 927 0.707936448714 Henry Cohn, 2026, needs more optimization.
8 928 0.707938185699 Henry Cohn, 2026, needs more optimization.
8 929 0.707957802781 Henry Cohn, 2026, needs more optimization.
8 930 0.707959142124 Henry Cohn, 2026, needs more optimization.
8 931 0.707972849580 Henry Cohn, 2026, needs more optimization.
8 932 0.708023329759 Henry Cohn, 2026, needs more optimization.
8 933 0.708025851810 Henry Cohn, 2026, needs more optimization.
8 934 0.708358777951 Henry Cohn, 2026, needs more optimization.
8 935 0.708359762105 Henry Cohn, 2026, needs more optimization.
8 936 0.708361331551 Henry Cohn, 2026, needs more optimization.
8 937 0.708362164555 Henry Cohn, 2026, needs more optimization.
8 938 0.708369941815 Henry Cohn, 2026, needs more optimization.
8 939 0.708883186696 Henry Cohn, 2026, needs more optimization.
8 940 0.708898634054 Henry Cohn, 2026, needs more optimization.
8 942 0.708900953540 Henry Cohn, 2026, needs more optimization.
8 943 0.708964359533 Henry Cohn, 2026, needs more optimization.
8 944 0.708989905756 Henry Cohn, 2026, needs more optimization.
8 945 0.709127830828 Henry Cohn, 2026, needs more optimization.
8 946 0.709128670914 Henry Cohn, 2026, needs more optimization.
8 947 0.709133508163 Henry Cohn, 2026, needs more optimization.
8 948 0.709517527657 Henry Cohn, 2026, needs more optimization.
8 949 0.709519328212 Henry Cohn, 2026, needs more optimization.
8 950 0.709520220040 Henry Cohn, 2026, needs more optimization.
8 951 0.709522371751 Henry Cohn, 2026, needs more optimization.
8 952 0.709526664790 Henry Cohn, 2026, needs more optimization.
8 954 0.709527038554 Henry Cohn, 2026, needs more optimization.
8 955 0.709899638399 Henry Cohn, 2026, needs more optimization.
8 956 0.709915489270 Henry Cohn, 2026, needs more optimization.
8 957 0.709987397931 Henry Cohn, 2026, needs more optimization.
8 958 0.709991050665 Henry Cohn, 2026, needs more optimization.
8 959 0.710172499142 Henry Cohn, 2026, needs more optimization.
8 960 0.710174164130 Henry Cohn, 2026, needs more optimization.
8 961 0.710180100453 Henry Cohn, 2026, needs more optimization.
8 962 0.710658722013 Henry Cohn, 2026, needs more optimization.
8 963 0.710663199403 Henry Cohn, 2026, needs more optimization.
8 965 0.710743168967 Henry Cohn, 2026, needs more optimization.
8 966 0.710771435907 Henry Cohn, 2026, needs more optimization.
8 967 0.710774636145 Henry Cohn, 2026, needs more optimization.
8 968 0.710776497295 Henry Cohn, 2026, needs more optimization.
8 969 0.710802777018 Henry Cohn, 2026, needs more optimization.
8 970 0.710869100010 Henry Cohn, 2026, needs more optimization.
8 971 0.711374247624 Henry Cohn, 2026, needs more optimization.
8 972 0.711418583395 Henry Cohn, 2026, needs more optimization.
8 973 0.711422219048 Henry Cohn, 2026, needs more optimization.
8 975 0.711481343508 Henry Cohn, 2026, needs more optimization.
8 976 0.711483410811 Henry Cohn, 2026, needs more optimization.
8 977 0.711492015774 Henry Cohn, 2026, needs more optimization.
8 978 0.711497120879 Henry Cohn, 2026, needs more optimization.
8 979 0.711891037916 Henry Cohn, 2026, needs more optimization.
8 980 0.711902747070 Henry Cohn, 2026, needs more optimization.
8 981 0.711923892997 Henry Cohn, 2026, needs more optimization.
8 982 0.711988424510 Henry Cohn, 2026, needs more optimization.
8 983 0.711990545164 Henry Cohn, 2026, needs more optimization.
8 984 0.711991744514 Henry Cohn, 2026, needs more optimization.
8 985 0.712254349455 Henry Cohn, 2026, needs more optimization.
8 986 0.712312342188 Henry Cohn, 2026, needs more optimization.
8 988 0.712327514843 Henry Cohn, 2026, needs more optimization.
8 989 0.712586968804 Henry Cohn, 2026, needs more optimization.
8 990 0.712961514522 Henry Cohn, 2026, needs more optimization.
8 991 0.712962747710 Henry Cohn, 2026, needs more optimization.
8 993 0.712972952893 Henry Cohn, 2026, needs more optimization.
8 994 0.712975427776 Henry Cohn, 2026, needs more optimization.
8 995 0.712978555922 Henry Cohn, 2026, needs more optimization.
8 996 0.712984468650 Henry Cohn, 2026, needs more optimization.
8 997 0.713038118010 Henry Cohn, 2026, needs more optimization.
8 998 0.713066514047 Henry Cohn, 2026, needs more optimization.
8 999 0.713113102230 Henry Cohn, 2026, needs more optimization.
8 1000 0.713124613746 Henry Cohn, 2026, needs more optimization.
8 1001 0.713185033471 Henry Cohn, 2026, needs more optimization.
8 1002 0.713233462718 Henry Cohn, 2026, needs more optimization.
8 1003 0.713259963983 Henry Cohn, 2026, needs more optimization.
8 1004 0.713292090759 Henry Cohn, 2026, needs more optimization.
8 1005 0.713377987815 Henry Cohn, 2026, needs more optimization.
8 1006 0.713383141571 Henry Cohn, 2026, needs more optimization.
8 1007 0.713480146882 Henry Cohn, 2026, needs more optimization.
8 1008 0.713543234488 Henry Cohn, 2026, needs more optimization.
8 1009 0.713599056510 Henry Cohn, 2026, needs more optimization.
8 1010 0.713602795804 Henry Cohn, 2026, needs more optimization.
8 1011 0.713642826850 Henry Cohn, 2026, needs more optimization.
8 1012 0.713707399357 Henry Cohn, 2026, needs more optimization.
8 1013 0.713709795961 Henry Cohn, 2026, needs more optimization.
8 1016 0.713747261316 Henry Cohn, 2026, needs more optimization.
8 1017 0.713782291927 Henry Cohn, 2026, needs more optimization.
8 1018 0.713834035857 Henry Cohn, 2026, needs more optimization.
8 1020 0.713839357407 Henry Cohn, 2026, needs more optimization.
8 1021 0.713889080737 Henry Cohn, 2026, needs more optimization.
8 1023 0.713894004020 Henry Cohn, 2026, needs more optimization.
8 1024 0.713975644255 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 0.2 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
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 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.
9 57 0.282916244589 Henry Cohn, 2026.
9 58 0.288070633971 Henry Cohn, 2026.
9 59 0.293943006572 Henry Cohn, 2025.
9 60 0.294882506582 Henry Cohn, 2026.
9 61 0.297699008547 Henry Cohn, 2026.
9 62 0.299407593895 Henry Cohn, 2026.
9 63 0.302685227391 Henry Cohn, 2025.
9 64 0.306653313780 Henry Cohn, 2023.
9 65 0.310475871050 Henry Cohn, 2026.
9 66 0.313645759189 Henry Cohn, 2026.
9 67 0.317743907015 Henry Cohn, 2026.
9 68 0.322050465427 Henry Cohn, 2025.
9 69 0.324666182383 Henry Cohn, 2025.
9 70 0.327710258396 Henry Cohn, 2026.
9 71 0.328977728606 Henry Cohn, 2026.
9 72 0.329476852518 Henry Cohn, 2026.
9 74 0.329478113244 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 77 0.329568177750 Henry Cohn, 2026.
9 78 0.330101895521 Henry Cohn, 2025.
9 79 0.330918543665 Henry Cohn, 2024.
9 80 0.332977706545 Henry Cohn, 2025.
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 0.371099110252 Henry Cohn, 2024.
9 98 0.372095101498 Henry Cohn, 2025.
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 0.378849371703 Henry Cohn, 2026, needs more optimization.
9 104 0.379090673532 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 105 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 0.394987130628 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.397653535057 Henry Cohn, 2026, needs more optimization.
9 108 0.399008208476 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 109 0.401899173460 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.404779316037 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.406771394162 Henry Cohn, 2026, needs more optimization.
9 112 0.408810852559 Henry Cohn, 2026, needs more optimization.
9 113 0.410382095272 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 114 0.411288456627 Henry Cohn, 2026, needs more optimization.
9 115 0.412584187494 Henry Cohn, 2026, needs more optimization.
9 116 0.413818623867 Henry Cohn, 2026, needs more optimization.
9 117 0.414797472711 Henry Cohn, 2026, needs more optimization.
9 118 0.415682460118 Henry Cohn, 2026, needs more optimization.
9 119 0.416041502843 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 120 0.416627666230 Henry Cohn, 2026, needs more optimization.
9 121 0.417148961137 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 122 0.418282170106 Henry Cohn, 2026.
9 123 0.419131749875 Henry Cohn, 2026, needs more optimization.
9 124 0.419764730960 Henry Cohn, 2026, needs more optimization.
9 125 0.421595397688 Henry Cohn, 2026, needs more optimization.
9 126 0.422822489693 Henry Cohn, 2026, needs more optimization.
9 127 0.423810920465 Henry Cohn, 2026.
9 128 0.424718793052 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.425892794929 Henry Cohn, 2026, needs more optimization.
9 130 0.427358722124 Henry Cohn, 2026, needs more optimization.
9 131 0.428090326901 Henry Cohn, 2026, needs more optimization.
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 0.441693515174 Henry Cohn, 2026, needs more optimization.
9 148 0.444822266120 Henry Cohn, 2026, needs more optimization.
9 149 0.448504779523 Henry Cohn, 2026, needs more optimization.
9 150 0.450382160378 Henry Cohn, 2026, needs more optimization.
9 151 0.451757355318 Henry Cohn, 2026, needs more optimization.
9 152 0.453419362542 Henry Cohn, 2026, needs more optimization.
9 165 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
9 166 0.454545454546 Henry Cohn, 2026.
11⁢x−5
9 167 0.458685807032 Henry Cohn, 2026, needs more optimization.
9 168 0.459626640732 Henry Cohn, 2026, needs more optimization.
9 169 0.459733348763 Henry Cohn, 2026, needs more optimization.
9 170 0.460018537700 Henry Cohn, 2026, needs more optimization.
9 171 0.460511026021 Henry Cohn, 2026, needs more optimization.
9 172 0.461002622062 Henry Cohn, 2026, needs more optimization.
9 173 0.461223582767 Henry Cohn, 2026, needs more optimization.
9 174 0.461468849707 Henry Cohn, 2026, needs more optimization.
9 175 0.461535084840 Henry Cohn, 2026, needs more optimization.
9 176 0.462263092992 Henry Cohn, 2026, needs more optimization.
9 177 0.462286240737 Henry Cohn, 2026, needs more optimization.
9 178 0.462315347327 Henry Cohn, 2026, needs more optimization.
9 179 0.462376977259 Henry Cohn, 2026, needs more optimization.
9 180 0.462409689439 Henry Cohn, 2026, needs more optimization.
9 181 0.462512785898 Henry Cohn, 2026, needs more optimization.
9 182 0.463585591536 Henry Cohn, 2026, needs more optimization.
9 183 0.465284282752 Henry Cohn, 2026, needs more optimization.
9 184 0.467343260756 Henry Cohn, 2026, needs more optimization.
9 185 0.468802118334 Henry Cohn, 2026, needs more optimization.
9 186 0.470176524057 Henry Cohn, 2026, needs more optimization.
9 187 0.473079888473 Henry Cohn, 2026, needs more optimization.
9 209 0.475156558223 Henry Cohn, 2026.
103⁢x2−30⁢x−9
9 210 0.478200865832 Henry Cohn, 2026, needs more optimization.
9 211 0.479232771444 Henry Cohn, 2026, needs more optimization.
9 212 0.481890108530 Henry Cohn, 2026, needs more optimization.
9 213 0.484703767574 Henry Cohn, 2026, needs more optimization.
9 214 0.486929158612 Henry Cohn, 2026, needs more optimization.
9 215 0.488753986465 Henry Cohn, 2026, needs more optimization.
9 216 0.490422099082 Henry Cohn, 2026, needs more optimization.
9 217 0.490894014409 Henry Cohn, 2026, needs more optimization.
9 218 0.493628161749 Henry Cohn, 2026, needs more optimization.
9 219 0.494509445158 Henry Cohn, 2026, needs more optimization.
9 220 0.495588240889 Henry Cohn, 2026, needs more optimization.
9 221 0.496435061115 Henry Cohn, 2026, needs more optimization.
9 222 0.497006633903 Henry Cohn, 2026, needs more optimization.
9 223 0.497015154719 Henry Cohn, 2026, needs more optimization.
9 224 0.497074373413 Henry Cohn, 2026, needs more optimization.
9 225 0.497210154432 Henry Cohn, 2026, needs more optimization.
9 226 0.497549739493 Henry Cohn, 2026, needs more optimization.
9 227 0.497571009455 Henry Cohn, 2026, needs more optimization.
9 228 0.498176525630 Henry Cohn, 2026, needs more optimization.
9 229 0.498388466137 Henry Cohn, 2026, needs more optimization.
9 230 0.498505159813 Henry Cohn, 2026, needs more optimization.
9 231 0.498633102728 Henry Cohn, 2026, needs more optimization.
9 232 0.498660815713 Henry Cohn, 2026, needs more optimization.
9 233 0.498819494438 Henry Cohn, 2026, needs more optimization.
9 234 0.499087931180 Henry Cohn, 2026, needs more optimization.
9 235 0.499181938078 Henry Cohn, 2026, needs more optimization.
9 236 0.499268487046 Henry Cohn, 2026, needs more optimization.
9 237 0.499310409181 Henry Cohn, 2026, needs more optimization.
9 238 0.499390495376 Henry Cohn, 2026, needs more optimization.
9 239 0.499450430810 Henry Cohn, 2026, needs more optimization.
9 240 0.499527568521 Henry Cohn, 2026, needs more optimization.
9 241 0.499597481027 Henry Cohn, 2026, needs more optimization.
9 242 0.499603741467 Henry Cohn, 2026, needs more optimization.
9 243 0.499615914174 Henry Cohn, 2026, needs more optimization.
9 244 0.499667101140 Henry Cohn, 2026, needs more optimization.
9 245 0.499754276567 Henry Cohn, 2026, needs more optimization.
9 246 0.499886651264 Henry Cohn, 2026, needs more optimization.
9 247 0.499892851162 Henry Cohn, 2026, needs more optimization.
9 248 0.499976916834 Henry Cohn, 2026, needs more optimization.
9 249 0.499978772136 Henry Cohn, 2026, needs more optimization.
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 0.517066135665 Henry Cohn, 2026, needs more optimization.
9 308 0.518937515857 Henry Cohn, 2026, needs more optimization.
9 309 0.520866368155 Henry Cohn, 2026, needs more optimization.
9 310 0.521854296058 Henry Cohn, 2026, needs more optimization.
9 311 0.521856627080 Henry Cohn, 2026, needs more optimization.
9 312 0.521859002706 Henry Cohn, 2026, needs more optimization.
9 313 0.522207905245 Henry Cohn, 2026, needs more optimization.
9 330 0.523809523810 Henry Cohn and Ilmari Vahteristo (independently), 2026.
21⁢x−11
9 331 0.528494861752 Henry Cohn, 2026, needs more optimization.
9 332 0.530017257014 Henry Cohn, 2026, needs more optimization.
9 333 0.533329892627 Henry Cohn, 2026, needs more optimization.
9 334 0.534897276111 Henry Cohn, 2026, needs more optimization.
9 335 0.536124806312 Henry Cohn, 2026, needs more optimization.
9 336 0.536252811018 Henry Cohn, 2026, needs more optimization.
9 337 0.536447991859 Henry Cohn, 2026, needs more optimization.
9 338 0.536454880022 Henry Cohn, 2026, needs more optimization.
9 339 0.537037223358 Henry Cohn, 2026, needs more optimization.
9 340 0.538014433109 Henry Cohn, 2026, needs more optimization.
9 341 0.538075936183 Henry Cohn, 2026, needs more optimization.
9 342 0.539545443596 Henry Cohn, 2026, needs more optimization.
9 343 0.540106746011 Henry Cohn, 2026, needs more optimization.
9 344 0.540629799830 Henry Cohn, 2026, needs more optimization.
9 345 0.540698092610 Henry Cohn, 2026, needs more optimization.
9 346 0.541069183339 Henry Cohn, 2026, needs more optimization.
9 347 0.541594852865 Henry Cohn, 2026, needs more optimization.
9 348 0.542599029736 Henry Cohn, 2026, needs more optimization.
9 349 0.543253225986 Henry Cohn, 2026, needs more optimization.
9 350 0.543391847368 Henry Cohn, 2026, needs more optimization.
9 351 0.543647909309 Henry Cohn, 2026, needs more optimization.
9 352 0.543971336612 Henry Cohn, 2026, needs more optimization.
9 353 0.544009268624 Henry Cohn, 2026, needs more optimization.
9 354 0.544014288562 Henry Cohn, 2026, needs more optimization.
9 355 0.544211806769 Henry Cohn, 2026, needs more optimization.
9 356 0.544226176520 Henry Cohn, 2026, needs more optimization.
9 357 0.544725833758 Henry Cohn, 2026, needs more optimization.
9 358 0.544896267938 Henry Cohn, 2026, needs more optimization.
9 359 0.546095455591 Henry Cohn, 2026, needs more optimization.
9 360 0.546556677007 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 0.555157168743 Henry Cohn, 2026, needs more optimization.
9 484 0.557689207639 Henry Cohn, 2026, needs more optimization.
9 485 0.562937649375 Henry Cohn, 2026, needs more optimization.
9 486 0.565404010918 Henry Cohn, 2026, needs more optimization.
9 487 0.568336770466 Henry Cohn, 2026, needs more optimization.
9 488 0.569262266073 Henry Cohn, 2026, needs more optimization.
9 489 0.570794333918 Henry Cohn, 2026, needs more optimization.
9 490 0.572437702677 Henry Cohn, 2026, needs more optimization.
9 491 0.574097456216 Henry Cohn, 2026, needs more optimization.
9 492 0.574937872258 Henry Cohn, 2026, needs more optimization.
9 493 0.576339371418 Henry Cohn, 2026, needs more optimization.
9 494 0.578044310270 Henry Cohn, 2026, needs more optimization.
9 495 0.578926661921 Henry Cohn, 2026, needs more optimization.
9 496 0.580085975303 Henry Cohn, 2026, needs more optimization.
9 497 0.580662075107 Henry Cohn, 2026, needs more optimization.
9 498 0.581746833711 Henry Cohn, 2026, needs more optimization.
9 499 0.582992602293 Henry Cohn, 2026, needs more optimization.
9 500 0.583921014188 Henry Cohn, 2026, needs more optimization.
9 501 0.584662889973 Henry Cohn, 2026, needs more optimization.
9 502 0.585622140706 Henry Cohn, 2026, needs more optimization.
9 503 0.586251325498 Henry Cohn, 2026, needs more optimization.
9 504 0.587159705512 Henry Cohn, 2026, needs more optimization.
9 505 0.587230400465 Henry Cohn, 2026, needs more optimization.
9 506 0.588169924809 Henry Cohn, 2026, needs more optimization.
9 507 0.588342995449 Henry Cohn, 2026, needs more optimization.
9 508 0.589108599059 Henry Cohn, 2026, needs more optimization.
9 509 0.590016468797 Henry Cohn, 2026, needs more optimization.
9 510 0.590445831495 Henry Cohn, 2026, needs more optimization.
9 511 0.590821591874 Henry Cohn, 2026, needs more optimization.
9 512 0.591264599913 Henry Cohn, 2026, needs more optimization.
9 513 0.591656778528 Henry Cohn, 2026, needs more optimization.
9 514 0.592122249989 Henry Cohn, 2026, needs more optimization.
9 515 0.592400972594 Henry Cohn, 2026, needs more optimization.
9 516 0.593026215615 Henry Cohn, 2026, needs more optimization.
9 517 0.593284497222 Henry Cohn, 2026, needs more optimization.
9 518 0.593626207620 Henry Cohn, 2026, needs more optimization.
9 519 0.594111896022 Henry Cohn, 2026, needs more optimization.
9 520 0.594434713082 Henry Cohn, 2026, needs more optimization.
9 521 0.594856033554 Henry Cohn, 2026, needs more optimization.
9 522 0.595201964844 Henry Cohn, 2026, needs more optimization.
9 523 0.595528286178 Henry Cohn, 2026, needs more optimization.
9 524 0.595864359557 Henry Cohn, 2026, needs more optimization.
9 525 0.596269770287 Henry Cohn, 2026, needs more optimization.
9 526 0.596592382273 Henry Cohn, 2026, needs more optimization.
9 527 0.596620075487 Henry Cohn, 2026, needs more optimization.
9 528 0.597084937172 Henry Cohn, 2026, needs more optimization.
9 529 0.597194643616 Henry Cohn, 2026, needs more optimization.
9 530 0.597422424489 Henry Cohn, 2026, needs more optimization.
9 531 0.597693481768 Henry Cohn, 2026, needs more optimization.
9 532 0.597840565307 Henry Cohn, 2026, needs more optimization.
9 533 0.598243575271 Henry Cohn, 2026, needs more optimization.
9 534 0.598413380805 Henry Cohn, 2026, needs more optimization.
9 535 0.598552401247 Henry Cohn, 2026, needs more optimization.
9 536 0.598648319790 Henry Cohn, 2026, needs more optimization.
9 537 0.598816024333 Henry Cohn, 2026, needs more optimization.
9 538 0.599018117884 Henry Cohn, 2026, needs more optimization.
9 539 0.599454512216 Henry Cohn, 2026, needs more optimization.
9 540 0.599777821052 Henry Cohn, 2026, needs more optimization.
9 541 0.599873219669 Henry Cohn, 2026, needs more optimization.
9 542 0.599969256641 Henry Cohn, 2026, needs more optimization.
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 0.605101204358 Henry Cohn, 2026, needs more optimization.
9 614 0.614155248435 Henry Cohn, 2026, needs more optimization.
9 615 0.614180566520 Henry Cohn, 2026, needs more optimization.
9 616 0.614200911844 Henry Cohn, 2026, needs more optimization.
9 617 0.615707010712 Henry Cohn, 2026, needs more optimization.
9 618 0.615751493349 Henry Cohn, 2026, needs more optimization.
9 619 0.615820603764 Henry Cohn, 2026, needs more optimization.
9 620 0.616148776508 Henry Cohn, 2026, needs more optimization.
9 621 0.616252302910 Henry Cohn, 2026, needs more optimization.
9 622 0.616431454991 Henry Cohn, 2026, needs more optimization.
9 623 0.616463351976 Henry Cohn, 2026, needs more optimization.
9 624 0.616749576571 Henry Cohn, 2026, needs more optimization.
9 625 0.616873770797 Henry Cohn, 2026, needs more optimization.
9 626 0.617076529411 Henry Cohn, 2026, needs more optimization.
9 628 0.617093281332 Henry Cohn, 2026, needs more optimization.
9 629 0.617217269773 Henry Cohn, 2026, needs more optimization.
9 630 0.617276240687 Henry Cohn, 2026, needs more optimization.
9 631 0.617371750110 Henry Cohn, 2026, needs more optimization.
9 632 0.617581701179 Henry Cohn, 2026, needs more optimization.
9 633 0.617748312396 Henry Cohn, 2026, needs more optimization.
9 634 0.618033283571 Henry Cohn, 2026, needs more optimization.
9 635 0.618033435875 Henry Cohn, 2026, needs more optimization.
9 636 0.618033458132 Henry Cohn, 2026, needs more optimization.
9 637 0.618033488104 Henry Cohn, 2026, needs more optimization.
9 639 0.618033500957 Henry Cohn, 2026, needs more optimization.
9 641 0.618033521270 Henry Cohn, 2026, needs more optimization.
9 642 0.618033798940 Henry Cohn, 2026, needs more optimization.
9 643 0.618033987397 Henry Cohn, 2026, needs more optimization.
9 644 0.618033987482 Henry Cohn, 2026, needs more optimization.
9 645 0.618033987526 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 0.624151904431 Henry Cohn, 2026, needs more optimization.
9 724 0.642732724288 Henry Cohn, 2026, needs more optimization.
9 725 0.642937188150 Henry Cohn, 2026, needs more optimization.
9 726 0.643190085363 Henry Cohn, 2026, needs more optimization.
9 727 0.643244294039 Henry Cohn, 2026, needs more optimization.
9 728 0.643361014966 Henry Cohn, 2026, needs more optimization.
9 729 0.643400825859 Henry Cohn, 2026, needs more optimization.
9 730 0.643676454631 Henry Cohn, 2026, needs more optimization.
9 731 0.643704665810 Henry Cohn, 2026, needs more optimization.
9 732 0.643709183679 Henry Cohn, 2026, needs more optimization.
9 733 0.643824648008 Henry Cohn, 2026, needs more optimization.
9 734 0.644266493995 Henry Cohn, 2026, needs more optimization.
9 735 0.644272071190 Henry Cohn, 2026, needs more optimization.
9 736 0.644489090642 Henry Cohn, 2026, needs more optimization.
9 737 0.644563590909 Henry Cohn, 2026, needs more optimization.
9 738 0.644565404627 Henry Cohn, 2026, needs more optimization.
9 739 0.644837421705 Henry Cohn, 2026, needs more optimization.
9 740 0.645084603345 Henry Cohn, 2026, needs more optimization.
9 741 0.645103804009 Henry Cohn, 2026, needs more optimization.
9 742 0.645165872915 Henry Cohn, 2026, needs more optimization.
9 743 0.645215521156 Henry Cohn, 2026, needs more optimization.
9 744 0.645328397209 Henry Cohn, 2026, needs more optimization.
9 745 0.645655875379 Henry Cohn, 2026, needs more optimization.
9 746 0.645658405718 Henry Cohn, 2026, needs more optimization.
9 747 0.645672188313 Henry Cohn, 2026, needs more optimization.
9 748 0.645731800479 Henry Cohn, 2026, needs more optimization.
9 749 0.645788334069 Henry Cohn, 2026, needs more optimization.
9 750 0.646038048948 Henry Cohn, 2026, needs more optimization.
9 751 0.646112764542 Henry Cohn, 2026, needs more optimization.
9 752 0.646432608597 Henry Cohn, 2026, needs more optimization.
9 753 0.646625827802 Henry Cohn, 2026, needs more optimization.
9 754 0.646637984734 Henry Cohn, 2026, needs more optimization.
9 755 0.646649182947 Henry Cohn, 2026, needs more optimization.
9 756 0.646805844239 Henry Cohn, 2026, needs more optimization.
9 757 0.647001086542 Henry Cohn, 2026, needs more optimization.
9 758 0.647165203914 Henry Cohn, 2026, needs more optimization.
9 759 0.647399532820 Henry Cohn, 2026, needs more optimization.
9 760 0.647400816732 Henry Cohn, 2026, needs more optimization.
9 761 0.647437394739 Henry Cohn, 2026, needs more optimization.
9 762 0.647490778511 Henry Cohn, 2026, needs more optimization.
9 763 0.647866900672 Henry Cohn, 2026, needs more optimization.
9 764 0.647889115344 Henry Cohn, 2026, needs more optimization.
9 765 0.648005215166 Henry Cohn, 2026, needs more optimization.
9 766 0.648019785498 Henry Cohn, 2026, needs more optimization.
9 767 0.648197559485 Henry Cohn, 2026, needs more optimization.
9 768 0.648275030303 Henry Cohn, 2026, needs more optimization.
9 769 0.648395348269 Henry Cohn, 2026, needs more optimization.
9 770 0.648426148452 Henry Cohn, 2026, needs more optimization.
9 771 0.648969915113 Henry Cohn, 2026, needs more optimization.
9 772 0.648973184806 Henry Cohn, 2026, needs more optimization.
9 773 0.648974307798 Henry Cohn, 2026, needs more optimization.
9 774 0.649047701963 Henry Cohn, 2026, needs more optimization.
9 775 0.649289026484 Henry Cohn, 2026, needs more optimization.
9 776 0.649291047362 Henry Cohn, 2026, needs more optimization.
9 777 0.649363200581 Henry Cohn, 2026, needs more optimization.
9 778 0.649379182518 Henry Cohn, 2026, needs more optimization.
9 779 0.649870151508 Henry Cohn, 2026, needs more optimization.
9 780 0.649915915927 Henry Cohn, 2026, needs more optimization.
9 781 0.649945743640 Henry Cohn, 2026, needs more optimization.
9 782 0.650096891647 Henry Cohn, 2026, needs more optimization.
9 783 0.650117921459 Henry Cohn, 2026, needs more optimization.
9 784 0.650173834172 Henry Cohn, 2026, needs more optimization.
9 785 0.650201859090 Henry Cohn, 2026, needs more optimization.
9 786 0.650669744833 Henry Cohn, 2026, needs more optimization.
9 787 0.650709674509 Henry Cohn, 2026, needs more optimization.
9 788 0.650739430135 Henry Cohn, 2026, needs more optimization.
9 789 0.650824633607 Henry Cohn, 2026, needs more optimization.
9 790 0.651037416197 Henry Cohn, 2026, needs more optimization.
9 791 0.651287154678 Henry Cohn, 2026, needs more optimization.
9 792 0.651293024296 Henry Cohn, 2026, needs more optimization.
9 793 0.651385025489 Henry Cohn, 2026, needs more optimization.
9 794 0.651523409094 Henry Cohn, 2026, needs more optimization.
9 795 0.651642121421 Henry Cohn, 2026, needs more optimization.
9 796 0.651649982622 Henry Cohn, 2026, needs more optimization.
9 797 0.651679751042 Henry Cohn, 2026, needs more optimization.
9 798 0.651870772976 Henry Cohn, 2026, needs more optimization.
9 799 0.652145839905 Henry Cohn, 2026, needs more optimization.
9 800 0.652158697212 Henry Cohn, 2026, needs more optimization.
9 801 0.652209404716 Henry Cohn, 2026, needs more optimization.
9 802 0.652272139414 Henry Cohn, 2026, needs more optimization.
9 803 0.652513429413 Henry Cohn, 2026, needs more optimization.
9 804 0.652543439833 Henry Cohn, 2026, needs more optimization.
9 805 0.652555413231 Henry Cohn, 2026, needs more optimization.
9 806 0.652696113868 Henry Cohn, 2026, needs more optimization.
9 807 0.652902434563 Henry Cohn, 2026, needs more optimization.
9 808 0.652947937627 Henry Cohn, 2026, needs more optimization.
9 809 0.653147425850 Henry Cohn, 2026, needs more optimization.
9 810 0.653164366037 Henry Cohn, 2026, needs more optimization.
9 811 0.653224035596 Henry Cohn, 2026, needs more optimization.
9 812 0.653357542573 Henry Cohn, 2026, needs more optimization.
9 813 0.653428098898 Henry Cohn, 2026, needs more optimization.
9 814 0.653674880358 Henry Cohn, 2026, needs more optimization.
9 815 0.653763342271 Henry Cohn, 2026, needs more optimization.
9 816 0.653811888532 Henry Cohn, 2026, needs more optimization.
9 817 0.653839223927 Henry Cohn, 2026, needs more optimization.
9 818 0.653916081307 Henry Cohn, 2026, needs more optimization.
9 819 0.654122310460 Henry Cohn, 2026, needs more optimization.
9 820 0.654124823790 Henry Cohn, 2026, needs more optimization.
9 821 0.654208169808 Henry Cohn, 2026, needs more optimization.
9 822 0.654234373166 Henry Cohn, 2026, needs more optimization.
9 823 0.654370300370 Henry Cohn, 2026, needs more optimization.
9 824 0.654462270088 Henry Cohn, 2026, needs more optimization.
9 825 0.654610899477 Henry Cohn, 2026, needs more optimization.
9 826 0.654794852299 Henry Cohn, 2026, needs more optimization.
9 827 0.654990038446 Henry Cohn, 2026, needs more optimization.
9 828 0.654996976261 Henry Cohn, 2026, needs more optimization.
9 829 0.655137166884 Henry Cohn, 2026, needs more optimization.
9 830 0.655147704629 Henry Cohn, 2026, needs more optimization.
9 831 0.655445886089 Henry Cohn, 2026, needs more optimization.
9 832 0.655453051195 Henry Cohn, 2026, needs more optimization.
9 833 0.655642794659 Henry Cohn, 2026, needs more optimization.
9 834 0.655678179773 Henry Cohn, 2026, needs more optimization.
9 835 0.655828454837 Henry Cohn, 2026, needs more optimization.
9 836 0.655866573578 Henry Cohn, 2026, needs more optimization.
9 837 0.656237866927 Henry Cohn, 2026, needs more optimization.
9 838 0.656241712516 Henry Cohn, 2026, needs more optimization.
9 839 0.656334003995 Henry Cohn, 2026, needs more optimization.
9 840 0.656401088176 Henry Cohn, 2026, needs more optimization.
9 841 0.656800116198 Henry Cohn, 2026, needs more optimization.
9 842 0.656801469954 Henry Cohn, 2026, needs more optimization.
9 843 0.657081713824 Henry Cohn, 2026, needs more optimization.
9 844 0.657092965032 Henry Cohn, 2026, needs more optimization.
9 845 0.657134215608 Henry Cohn, 2026, needs more optimization.
9 846 0.657388082980 Henry Cohn, 2026, needs more optimization.
9 847 0.657409778690 Henry Cohn, 2026, needs more optimization.
9 848 0.657411673458 Henry Cohn, 2026, needs more optimization.
9 849 0.657443642762 Henry Cohn, 2026, needs more optimization.
9 850 0.657516045778 Henry Cohn, 2026, needs more optimization.
9 851 0.657743842624 Henry Cohn, 2026, needs more optimization.
9 852 0.657786364331 Henry Cohn, 2026, needs more optimization.
9 853 0.657799537608 Henry Cohn, 2026, needs more optimization.
9 854 0.657809250653 Henry Cohn, 2026, needs more optimization.
9 855 0.657992324815 Henry Cohn, 2026, needs more optimization.
9 856 0.658318307837 Henry Cohn, 2026, needs more optimization.
9 857 0.658360188379 Henry Cohn, 2026, needs more optimization.
9 858 0.658553887660 Henry Cohn, 2026, needs more optimization.
9 859 0.658606961676 Henry Cohn, 2026, needs more optimization.
9 860 0.658775552711 Henry Cohn, 2026, needs more optimization.
9 861 0.658821122087 Henry Cohn, 2026, needs more optimization.
9 862 0.659019967109 Henry Cohn, 2026, needs more optimization.
9 863 0.659040643970 Henry Cohn, 2026, needs more optimization.
9 864 0.659251326344 Henry Cohn, 2026, needs more optimization.
9 865 0.659339541249 Henry Cohn, 2026, needs more optimization.
9 866 0.659351885611 Henry Cohn, 2026, needs more optimization.
9 867 0.659588361678 Henry Cohn, 2026, needs more optimization.
9 868 0.659599498536 Henry Cohn, 2026, needs more optimization.
9 869 0.659627120104 Henry Cohn, 2026, needs more optimization.
9 870 0.659701026953 Henry Cohn, 2026, needs more optimization.
9 871 0.659705057251 Henry Cohn, 2026, needs more optimization.
9 872 0.659715297833 Henry Cohn, 2026, needs more optimization.
9 873 0.660107329117 Henry Cohn, 2026, needs more optimization.
9 874 0.660228232731 Henry Cohn, 2026, needs more optimization.
9 875 0.660487422520 Henry Cohn, 2026, needs more optimization.
9 876 0.660491106375 Henry Cohn, 2026, needs more optimization.
9 877 0.660499111506 Henry Cohn, 2026, needs more optimization.
9 878 0.660519133106 Henry Cohn, 2026, needs more optimization.
9 879 0.660584639511 Henry Cohn, 2026, needs more optimization.
9 880 0.660629934077 Henry Cohn, 2026, needs more optimization.
9 881 0.660977066027 Henry Cohn, 2026, needs more optimization.
9 882 0.661015486405 Henry Cohn, 2026, needs more optimization.
9 883 0.661029039757 Henry Cohn, 2026, needs more optimization.
9 884 0.661139341218 Henry Cohn, 2026, needs more optimization.
9 885 0.661235973481 Henry Cohn, 2026, needs more optimization.
9 886 0.661239233206 Henry Cohn, 2026, needs more optimization.
9 887 0.661276808322 Henry Cohn, 2026, needs more optimization.
9 888 0.661645333522 Henry Cohn, 2026, needs more optimization.
9 889 0.661693432641 Henry Cohn, 2026, needs more optimization.
9 890 0.661733456517 Henry Cohn, 2026, needs more optimization.
9 891 0.661740557245 Henry Cohn, 2026, needs more optimization.
9 892 0.661934946059 Henry Cohn, 2026, needs more optimization.
9 893 0.661989461395 Henry Cohn, 2026, needs more optimization.
9 894 0.662031811491 Henry Cohn, 2026, needs more optimization.
9 895 0.662241171443 Henry Cohn, 2026, needs more optimization.
9 896 0.662272878969 Henry Cohn, 2026, needs more optimization.
9 897 0.662301943751 Henry Cohn, 2026, needs more optimization.
9 898 0.662518065819 Henry Cohn, 2026, needs more optimization.
9 899 0.662532753035 Henry Cohn, 2026, needs more optimization.
9 900 0.662629247637 Henry Cohn, 2026, needs more optimization.
9 901 0.662635379801 Henry Cohn, 2026, needs more optimization.
9 902 0.662810761855 Henry Cohn, 2026, needs more optimization.
9 903 0.663121270499 Henry Cohn, 2026, needs more optimization.
9 904 0.663125405768 Henry Cohn, 2026, needs more optimization.
9 905 0.663178352063 Henry Cohn, 2026, needs more optimization.
9 906 0.663316827690 Henry Cohn, 2026, needs more optimization.
9 907 0.663371363886 Henry Cohn, 2026, needs more optimization.
9 908 0.663387071819 Henry Cohn, 2026, needs more optimization.
9 909 0.663582123412 Henry Cohn, 2026, needs more optimization.
9 910 0.663628836383 Henry Cohn, 2026, needs more optimization.
9 911 0.663728043399 Henry Cohn, 2026, needs more optimization.
9 912 0.663853208197 Henry Cohn, 2026, needs more optimization.
9 913 0.663876277086 Henry Cohn, 2026, needs more optimization.
9 914 0.663894572798 Henry Cohn, 2026, needs more optimization.
9 915 0.663951765008 Henry Cohn, 2026, needs more optimization.
9 916 0.664203659310 Henry Cohn, 2026, needs more optimization.
9 917 0.664210381407 Henry Cohn, 2026, needs more optimization.
9 918 0.664312382933 Henry Cohn, 2026, needs more optimization.
9 919 0.664679719960 Henry Cohn, 2026, needs more optimization.
9 920 0.664704751305 Henry Cohn, 2026, needs more optimization.
9 921 0.664724042879 Henry Cohn, 2026, needs more optimization.
9 922 0.664752625672 Henry Cohn, 2026, needs more optimization.
9 923 0.665035985653 Henry Cohn, 2026, needs more optimization.
9 924 0.665079103362 Henry Cohn, 2026, needs more optimization.
9 925 0.665333753441 Henry Cohn, 2026, needs more optimization.
9 926 0.665358156161 Henry Cohn, 2026, needs more optimization.
9 927 0.665374847362 Henry Cohn, 2026, needs more optimization.
9 928 0.665649093891 Henry Cohn, 2026, needs more optimization.
9 929 0.665650097313 Henry Cohn, 2026, needs more optimization.
9 930 0.665724121504 Henry Cohn, 2026, needs more optimization.
9 931 0.665785038685 Henry Cohn, 2026, needs more optimization.
9 932 0.665827536149 Henry Cohn, 2026, needs more optimization.
9 933 0.665849817158 Henry Cohn, 2026, needs more optimization.
9 934 0.666183450344 Henry Cohn, 2026, needs more optimization.
9 935 0.666189365739 Henry Cohn, 2026, needs more optimization.
9 936 0.666333729580 Henry Cohn, 2026, needs more optimization.
9 937 0.666434617927 Henry Cohn, 2026, needs more optimization.
9 938 0.666522238955 Henry Cohn, 2026, needs more optimization.
9 939 0.666626705678 Henry Cohn, 2026, needs more optimization.
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 0.130634295944 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 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 0.150182198338 Henry Cohn, 2025.
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 0.196163849637 Henry Cohn, 2026.
10 43 0.205622503031 Henry Cohn, 2025.
10 44 0.209906238690 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 45 0.210496566837 Henry Cohn, 2026.
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 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.
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.
10 64 0.260558293949 Henry Cohn, 2026.
10 65 0.264885834877 Henry Cohn, 2025.
10 66 0.265168946762 Henry Cohn, 2025.
10 67 0.268064425530 Henry Cohn, 2025.
10 68 0.268895655142 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 69 0.269775337242 Henry Cohn, 2026.
10 70 0.271729029619 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 0.279604372367 Henry Cohn, 2026, needs more optimization.
10 75 0.283455182208 Henry Cohn, 2026.
10 76 0.284096667917 Henry Cohn, 2025.
10 77 0.284910960402 Henry Cohn, 2025.
10 78 0.289722281193 Henry Cohn, 2026, needs more optimization.
10 79 0.295238353835 Henry Cohn, 2026, needs more optimization.
10 80 0.299105344231 Henry Cohn, 2026, needs more optimization.
10 81 0.301759908598 Henry Cohn, 2026, needs more optimization.
10 82 0.304421880785 Henry Cohn, 2026, needs more optimization.
10 83 0.307851642008 Henry Cohn, 2026, needs more optimization.
10 84 0.310848806540 Henry Cohn, 2026, needs more optimization.
10 85 0.318197566143 Henry Cohn, 2026, needs more optimization.
10 86 0.322133293315 Henry Cohn, 2026.
10 87 0.323321961159 Henry Cohn, 2026.
10 88 0.324088773612 Henry Cohn, 2026, needs more optimization.
10 89 0.324778593197 Henry Cohn, 2026, needs more optimization.
10 90 0.325389381674 Henry Cohn, 2026, needs more optimization.
10 91 0.326529043496 Henry Cohn, 2026, needs more optimization.
10 92 0.327937279591 Henry Cohn, 2026, needs more optimization.
10 93 0.328576505778 Henry Cohn, 2026, needs more optimization.
10 94 0.329294569903 Henry Cohn, 2026, needs more optimization.
10 95 0.329854854198 Henry Cohn, 2025, needs more optimization.
10 96 0.330249804426 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.330440759145 Henry Cohn, 2026, needs more optimization.
10 98 0.330495267009 Henry Cohn, 2026, needs more optimization.
10 99 0.330654923978 Henry Cohn, 2026.
10 100 0.330970321507 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 101 0.331169613949 Henry Cohn, 2026, needs more optimization.
10 102 0.331364193632 Henry Cohn, 2026, needs more optimization.
10 103 0.333150285343 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 104 0.333227864338 Henry Cohn, 2026, needs more optimization.
10 105 0.333259041695 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 106 0.333290424924 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 107 0.333306675605 Henry Cohn, 2026, needs more optimization.
10 108 0.333307708289 Henry Cohn, 2026, needs more optimization.
10 109 0.335268817299 Henry Cohn, 2026, needs more optimization.
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 0.342175690997 Henry Cohn, 2026, needs more optimization.
10 112 0.344829893471 Henry Cohn, 2026, needs more optimization.
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 0.348284998135 Henry Cohn, 2026, needs more optimization.
10 115 0.352515784788 Henry Cohn, 2026, needs more optimization.
10 116 0.353566682154 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.358340499611 Henry Cohn, 2026, needs more optimization.
10 118 0.361672318982 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 119 0.363761710067 Henry Cohn, 2026, needs more optimization.
10 120 0.364675023580 Henry Cohn, 2026, needs more optimization.
10 121 0.365191096657 Henry Cohn, 2026.
10 122 0.365459215856 Henry Cohn, 2026, needs more optimization.
10 124 0.365550021069 Henry Cohn, 2026, needs more optimization.
10 125 0.365550181481 Henry Cohn, 2026, needs more optimization.
10 126 0.365557748612 Henry Cohn, 2026, needs more optimization.
10 127 0.366035053027 Henry Cohn, 2024.
10 128 0.367843362428 Henry Cohn, 2026, needs more optimization.
10 129 0.370352757639 Henry Cohn, 2026, needs more optimization.
10 130 0.371247320210 Henry Cohn, 2026, needs more optimization.
10 131 0.371343446604 Henry Cohn, 2026, needs more optimization.
10 132 0.371409893582 Henry Cohn, 2026, needs more optimization.
10 133 0.385287661783 Henry Cohn, 2026, needs more optimization.
10 134 0.389768459446 Henry Cohn, 2026, needs more optimization.
10 135 0.392340761166 Henry Cohn, 2026, needs more optimization.
10 136 0.393476014326 Henry Cohn, 2026, needs more optimization.
10 137 0.396210893050 Henry Cohn, 2026, needs more optimization.
10 138 0.398651390972 Henry Cohn, 2026, needs more optimization.
10 139 0.400187109545 Henry Cohn, 2026, needs more optimization.
10 140 0.401787413901 Henry Cohn, 2026, needs more optimization.
10 141 0.403139490787 Henry Cohn, 2026, needs more optimization.
10 142 0.404397831423 Henry Cohn, 2026, needs more optimization.
10 156 0.405827419558 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
11⁢x2−2⁢x−1
10 157 0.413096978622 Henry Cohn, 2026, needs more optimization.
10 158 0.414041442530 Henry Cohn, 2026, needs more optimization.
10 159 0.414638079052 Henry Cohn, 2026, needs more optimization.
10 160 0.414818422239 Henry Cohn, 2026, needs more optimization.
10 161 0.415973100717 Henry Cohn, 2026, needs more optimization.
10 162 0.416875406089 Henry Cohn, 2026, needs more optimization.
10 163 0.419208454405 Henry Cohn, 2026, needs more optimization.
10 164 0.420594116236 Henry Cohn, 2026, needs more optimization.
10 165 0.421680133993 Henry Cohn, 2026, needs more optimization.
10 166 0.422486764290 Henry Cohn, 2026, needs more optimization.
10 167 0.423423740060 Henry Cohn, 2026, needs more optimization.
10 168 0.424374959358 Henry Cohn, 2026, needs more optimization.
10 169 0.425515856893 Henry Cohn, 2026, needs more optimization.
10 170 0.425992943746 Henry Cohn, 2026, needs more optimization.
10 171 0.427021657823 Henry Cohn, 2026, needs more optimization.
10 172 0.428123699379 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 0.438692154355 Henry Cohn, 2026, needs more optimization.
10 196 0.441226110614 Henry Cohn, 2026, needs more optimization.
10 197 0.443965790298 Henry Cohn, 2026, needs more optimization.
10 198 0.445538482333 Henry Cohn, 2026, needs more optimization.
10 199 0.447192334314 Henry Cohn, 2026, needs more optimization.
10 200 0.448231553456 Henry Cohn, 2026, needs more optimization.
10 201 0.449272807223 Henry Cohn, 2026, needs more optimization.
10 202 0.450506976854 Henry Cohn, 2026, needs more optimization.
10 203 0.451663310532 Henry Cohn, 2026, needs more optimization.
10 204 0.452579690897 Henry Cohn, 2026, needs more optimization.
10 205 0.453663103739 Henry Cohn, 2026, needs more optimization.
10 206 0.454675741953 Henry Cohn, 2026, needs more optimization.
10 207 0.454784408596 Henry Cohn, 2026, needs more optimization.
10 208 0.454787391789 Henry Cohn, 2026, needs more optimization.
10 209 0.454886341151 Henry Cohn, 2026, needs more optimization.
10 210 0.454953656986 Henry Cohn, 2026, needs more optimization.
10 211 0.455019946640 Henry Cohn, 2026, needs more optimization.
10 212 0.455058455358 Henry Cohn, 2026, needs more optimization.
10 213 0.455101900481 Henry Cohn, 2026, needs more optimization.
10 214 0.455131183796 Henry Cohn, 2026, needs more optimization.
10 215 0.455229900332 Henry Cohn, 2026, needs more optimization.
10 216 0.455244592763 Henry Cohn, 2026, needs more optimization.
10 218 0.455275116454 Henry Cohn, 2026, needs more optimization.
10 219 0.455289240999 Henry Cohn, 2026, needs more optimization.
10 237 0.455341801262 Henry Cohn, 2026.
18⁢x2−6⁢x−1
10 239 0.455411340532 Henry Cohn, 2026, needs more optimization.
10 240 0.455775765658 Henry Cohn, 2026, needs more optimization.
10 241 0.455995382122 Henry Cohn, 2026, needs more optimization.
10 242 0.456262728924 Henry Cohn, 2026, needs more optimization.
10 243 0.456328852140 Henry Cohn, 2026, needs more optimization.
10 244 0.456451942648 Henry Cohn, 2026, needs more optimization.
10 245 0.457792409437 Henry Cohn, 2026, needs more optimization.
10 246 0.460307994829 Henry Cohn, 2026, needs more optimization.
10 247 0.462424445316 Henry Cohn, 2026, needs more optimization.
10 248 0.464983412558 Henry Cohn, 2026, needs more optimization.
10 249 0.466113008384 Henry Cohn, 2026, needs more optimization.
10 250 0.467094063661 Henry Cohn, 2026, needs more optimization.
10 251 0.467405121591 Henry Cohn, 2026, needs more optimization.
10 252 0.467841635530 Henry Cohn, 2026, needs more optimization.
10 253 0.469272255351 Henry Cohn, 2026, needs more optimization.
10 254 0.469579356432 Henry Cohn, 2026, needs more optimization.
10 255 0.470038956304 Henry Cohn, 2026, needs more optimization.
10 256 0.470961236783 Henry Cohn, 2026, needs more optimization.
10 257 0.472400408089 Henry Cohn, 2026, needs more optimization.
10 258 0.474204223743 Henry Cohn, 2026, needs more optimization.
10 259 0.475262058346 Henry Cohn, 2026, needs more optimization.
10 260 0.476168364966 Henry Cohn, 2026, needs more optimization.
10 261 0.476766036999 Henry Cohn, 2026, needs more optimization.
10 262 0.477491298246 Henry Cohn, 2026, needs more optimization.
10 263 0.478639964512 Henry Cohn, 2026, needs more optimization.
10 264 0.478926307334 Henry Cohn, 2026, needs more optimization.
10 265 0.478992123955 Henry Cohn, 2026, needs more optimization.
10 266 0.479064027524 Henry Cohn, 2026, needs more optimization.
10 267 0.479341964402 Henry Cohn, 2026, needs more optimization.
10 268 0.479634790937 Henry Cohn, 2026, needs more optimization.
10 269 0.479829506447 Henry Cohn, 2026, needs more optimization.
10 270 0.480246578955 Henry Cohn, 2026, needs more optimization.
10 271 0.480324057374 Henry Cohn, 2026, needs more optimization.
10 272 0.480425082735 Henry Cohn, 2026, needs more optimization.
10 273 0.480803258045 Henry Cohn, 2026, needs more optimization.
10 274 0.481041429684 Henry Cohn, 2026, needs more optimization.
10 275 0.481077751443 Henry Cohn, 2026, needs more optimization.
10 276 0.481256258036 Henry Cohn, 2026, needs more optimization.
10 277 0.481577626745 Henry Cohn, 2026, needs more optimization.
10 278 0.483359074954 Henry Cohn, 2026, needs more optimization.
10 279 0.483651570549 Henry Cohn, 2026, needs more optimization.
10 280 0.483943563145 Henry Cohn, 2026, needs more optimization.
10 281 0.484324670773 Henry Cohn, 2026, needs more optimization.
10 282 0.484513145032 Henry Cohn, 2026, needs more optimization.
10 283 0.485077144878 Henry Cohn, 2026, needs more optimization.
10 284 0.485089677855 Henry Cohn, 2026, needs more optimization.
10 285 0.485321513482 Henry Cohn, 2026, needs more optimization.
10 286 0.485767672806 Henry Cohn, 2026, needs more optimization.
10 287 0.485966435254 Henry Cohn, 2026, needs more optimization.
10 288 0.486282257178 Henry Cohn, 2026, needs more optimization.
10 289 0.486618644173 Henry Cohn, 2026, needs more optimization.
10 290 0.486759716435 Henry Cohn, 2026, needs more optimization.
10 291 0.487065920809 Henry Cohn, 2026, needs more optimization.
10 292 0.487411396330 Henry Cohn, 2026, needs more optimization.
10 293 0.487583641073 Henry Cohn, 2026, needs more optimization.
10 294 0.488034600771 Henry Cohn, 2026, needs more optimization.
10 295 0.488370885436 Henry Cohn, 2026, needs more optimization.
10 296 0.488506637067 Henry Cohn, 2026, needs more optimization.
10 297 0.488612682291 Henry Cohn, 2026, needs more optimization.
10 298 0.488787292098 Henry Cohn, 2026, needs more optimization.
10 299 0.489125078459 Henry Cohn, 2026, needs more optimization.
10 300 0.489305704746 Henry Cohn, 2026, needs more optimization.
10 301 0.489410663265 Henry Cohn, 2026, needs more optimization.
10 302 0.489529202561 Henry Cohn, 2026, needs more optimization.
10 303 0.489682458245 Henry Cohn, 2026, needs more optimization.
10 304 0.490064181945 Henry Cohn, 2026, needs more optimization.
10 305 0.490432829916 Henry Cohn, 2026, needs more optimization.
10 306 0.490878355547 Henry Cohn, 2026, needs more optimization.
10 307 0.491000587007 Henry Cohn, 2026, needs more optimization.
10 308 0.491134270594 Henry Cohn, 2026, needs more optimization.
10 309 0.491220720274 Henry Cohn, 2026, needs more optimization.
10 310 0.491294820606 Henry Cohn, 2026, needs more optimization.
10 311 0.491424843616 Henry Cohn, 2026, needs more optimization.
10 312 0.491600759093 Henry Cohn, 2026, needs more optimization.
10 313 0.492035068107 Henry Cohn, 2026, needs more optimization.
10 314 0.492046631879 Henry Cohn, 2026, needs more optimization.
10 315 0.492696300638 Henry Cohn, 2026, needs more optimization.
10 316 0.492790236457 Henry Cohn, 2026, needs more optimization.
10 317 0.493112356368 Henry Cohn, 2026, needs more optimization.
10 318 0.493233330346 Henry Cohn, 2026, needs more optimization.
10 319 0.493909862602 Henry Cohn, 2026, needs more optimization.
10 320 0.494167491847 Henry Cohn, 2026, needs more optimization.
10 321 0.494299252992 Henry Cohn, 2026, needs more optimization.
10 322 0.494500545051 Henry Cohn, 2026, needs more optimization.
10 323 0.494762758280 Henry Cohn, 2026, needs more optimization.
10 324 0.494783590107 Henry Cohn, 2026, needs more optimization.
10 325 0.494858975756 Henry Cohn, 2026, needs more optimization.
10 326 0.494974663918 Henry Cohn, 2026, needs more optimization.
10 327 0.495019968356 Henry Cohn, 2026, needs more optimization.
10 328 0.495033008580 Henry Cohn, 2026, needs more optimization.
10 329 0.495084945531 Henry Cohn, 2026, needs more optimization.
10 330 0.495197651295 Henry Cohn, 2026, needs more optimization.
10 331 0.495397454593 Henry Cohn, 2026, needs more optimization.
10 332 0.495450721010 Henry Cohn, 2026, needs more optimization.
10 333 0.495720569059 Henry Cohn, 2026, needs more optimization.
10 334 0.496295375486 Henry Cohn, 2026, needs more optimization.
10 335 0.496416313825 Henry Cohn, 2026, needs more optimization.
10 336 0.496560383396 Henry Cohn, 2026, needs more optimization.
10 337 0.496824844045 Henry Cohn, 2026, needs more optimization.
10 338 0.496927948269 Henry Cohn, 2026, needs more optimization.
10 339 0.497051409879 Henry Cohn, 2026, needs more optimization.
10 340 0.497171235674 Henry Cohn, 2026, needs more optimization.
10 341 0.497300720694 Henry Cohn, 2026, needs more optimization.
10 342 0.497325443657 Henry Cohn, 2026, needs more optimization.
10 343 0.497405283076 Henry Cohn, 2026, needs more optimization.
10 344 0.497446600928 Henry Cohn, 2026, needs more optimization.
10 345 0.497565774984 Henry Cohn, 2026, needs more optimization.
10 346 0.498142656062 Henry Cohn, 2026, needs more optimization.
10 347 0.498277785917 Henry Cohn, 2026, needs more optimization.
10 348 0.498374305894 Henry Cohn, 2026, needs more optimization.
10 349 0.498386515530 Henry Cohn, 2026, needs more optimization.
10 350 0.498519896248 Henry Cohn, 2026, needs more optimization.
10 351 0.498643086078 Henry Cohn, 2026, needs more optimization.
10 352 0.498722161928 Henry Cohn, 2026, needs more optimization.
10 353 0.498737430853 Henry Cohn, 2026, needs more optimization.
10 354 0.498757854586 Henry Cohn, 2026, needs more optimization.
10 355 0.498777069153 Henry Cohn, 2026, needs more optimization.
10 356 0.498814664603 Henry Cohn, 2026, needs more optimization.
10 357 0.498857140564 Henry Cohn, 2026, needs more optimization.
10 358 0.499100882362 Henry Cohn, 2026, needs more optimization.
10 359 0.499255394653 Henry Cohn, 2026, needs more optimization.
10 360 0.499269904648 Henry Cohn, 2026, needs more optimization.
10 362 0.499599093039 Henry Cohn, 2026, needs more optimization.
10 363 0.499668070503 Henry Cohn, 2026, needs more optimization.
10 367 0.499677679270 Henry Cohn, 2026, needs more optimization.
10 369 0.499920885316 Henry Cohn, 2026, needs more optimization.
10 370 0.499967805627 Henry Cohn, 2026, needs more optimization.
10 374 0.499972038975 Henry Cohn, 2026, needs more optimization.
10 375 0.499999339361 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 0.526719454645 Henry Cohn, 2026, needs more optimization.
10 512 0.529990933338 Henry Cohn, 2026, needs more optimization.
10 513 0.532753365259 Henry Cohn, 2026, needs more optimization.
10 514 0.533848599339 Henry Cohn, 2026, needs more optimization.
10 515 0.535029687178 Henry Cohn, 2026, needs more optimization.
10 516 0.536941543050 Henry Cohn, 2026, needs more optimization.
10 517 0.538181804557 Henry Cohn, 2026, needs more optimization.
10 518 0.538856269902 Henry Cohn, 2026, needs more optimization.
10 519 0.540297628656 Henry Cohn, 2026, needs more optimization.
10 520 0.541065858660 Henry Cohn, 2026, needs more optimization.
10 521 0.542222020444 Henry Cohn, 2026, needs more optimization.
10 522 0.543006324419 Henry Cohn, 2026, needs more optimization.
10 523 0.543643562382 Henry Cohn, 2026, needs more optimization.
10 524 0.544354960814 Henry Cohn, 2026, needs more optimization.
10 525 0.545220822541 Henry Cohn, 2026, needs more optimization.
10 526 0.545984319687 Henry Cohn, 2026, needs more optimization.
10 527 0.546334514958 Henry Cohn, 2026, needs more optimization.
10 528 0.547371277620 Henry Cohn, 2026, needs more optimization.
10 529 0.548027845162 Henry Cohn, 2026, needs more optimization.
10 530 0.548756183006 Henry Cohn, 2026, needs more optimization.
10 531 0.549360952991 Henry Cohn, 2026, needs more optimization.
10 532 0.549651964449 Henry Cohn, 2026, needs more optimization.
10 533 0.550237810084 Henry Cohn, 2026, needs more optimization.
10 534 0.550814769332 Henry Cohn, 2026, needs more optimization.
10 535 0.551330120109 Henry Cohn, 2026, needs more optimization.
10 536 0.552031078152 Henry Cohn, 2026, needs more optimization.
10 537 0.552517382581 Henry Cohn, 2026, needs more optimization.
10 538 0.553356151666 Henry Cohn, 2026, needs more optimization.
10 539 0.553512163819 Henry Cohn, 2026, needs more optimization.
10 540 0.554028962745 Henry Cohn, 2026, needs more optimization.
10 541 0.554469877354 Henry Cohn, 2026, needs more optimization.
10 542 0.554888267590 Henry Cohn, 2026, needs more optimization.
10 543 0.555234305991 Henry Cohn, 2026, needs more optimization.
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
10 740 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 0.567867968001 Henry Cohn, 2026, needs more optimization.
10 773 0.569941360231 Henry Cohn, 2026, needs more optimization.
10 774 0.570775263174 Henry Cohn, 2026, needs more optimization.
10 775 0.571672333721 Henry Cohn, 2026, needs more optimization.
10 776 0.571927673368 Henry Cohn, 2026, needs more optimization.
10 777 0.572475209519 Henry Cohn, 2026, needs more optimization.
10 778 0.572504808726 Henry Cohn, 2026, needs more optimization.
10 779 0.572930834883 Henry Cohn, 2026, needs more optimization.
10 780 0.573593896461 Henry Cohn, 2026, needs more optimization.
10 781 0.573761405378 Henry Cohn, 2026, needs more optimization.
10 782 0.574418987319 Henry Cohn, 2026, needs more optimization.
10 783 0.574433465090 Henry Cohn, 2026, needs more optimization.
10 784 0.575126763895 Henry Cohn, 2026, needs more optimization.
10 785 0.575536313753 Henry Cohn, 2026, needs more optimization.
10 786 0.576366971126 Henry Cohn, 2026, needs more optimization.
10 787 0.576687449873 Henry Cohn, 2026, needs more optimization.
10 788 0.577147180974 Henry Cohn, 2026, needs more optimization.
10 789 0.577208631877 Henry Cohn, 2026, needs more optimization.
10 790 0.577902340798 Henry Cohn, 2026, needs more optimization.
10 791 0.578171719574 Henry Cohn, 2026, needs more optimization.
10 792 0.578681949345 Henry Cohn, 2026, needs more optimization.
10 793 0.578964273865 Henry Cohn, 2026, needs more optimization.
10 794 0.579631652956 Henry Cohn, 2026, needs more optimization.
10 795 0.579878385230 Henry Cohn, 2026, needs more optimization.
10 796 0.580146725131 Henry Cohn, 2026, needs more optimization.
10 797 0.580547445354 Henry Cohn, 2026, needs more optimization.
10 798 0.580626679527 Henry Cohn, 2026, needs more optimization.
10 799 0.581829076331 Henry Cohn, 2026, needs more optimization.
10 800 0.581960799656 Henry Cohn, 2026, needs more optimization.
10 801 0.582426450941 Henry Cohn, 2026, needs more optimization.
10 802 0.583093367123 Henry Cohn, 2026, needs more optimization.
10 803 0.583397486117 Henry Cohn, 2026, needs more optimization.
10 804 0.583574604769 Henry Cohn, 2026, needs more optimization.
10 805 0.584238211415 Henry Cohn, 2026, needs more optimization.
10 806 0.584349308553 Henry Cohn, 2026, needs more optimization.
10 807 0.584463547745 Henry Cohn, 2026, needs more optimization.
10 808 0.584489130087 Henry Cohn, 2026, needs more optimization.
10 809 0.584774898410 Henry Cohn, 2026, needs more optimization.
10 810 0.585270059505 Henry Cohn, 2026, needs more optimization.
10 811 0.585374420647 Henry Cohn, 2026, needs more optimization.
10 812 0.585411223483 Henry Cohn, 2026, needs more optimization.
10 813 0.585472959171 Henry Cohn, 2026, needs more optimization.
10 814 0.585590688679 Henry Cohn, 2026, needs more optimization.
10 815 0.585655635533 Henry Cohn, 2026, needs more optimization.
10 816 0.585776631366 Henry Cohn, 2026, needs more optimization.
10 817 0.586302323744 Henry Cohn, 2026, needs more optimization.
10 818 0.586306580098 Henry Cohn, 2026, needs more optimization.
10 819 0.586496183749 Henry Cohn, 2026, needs more optimization.
10 820 0.586583005430 Henry Cohn, 2026, needs more optimization.
10 821 0.586810407897 Henry Cohn, 2026, needs more optimization.
10 822 0.587087947696 Henry Cohn, 2026, needs more optimization.
10 823 0.587271146801 Henry Cohn, 2026, needs more optimization.
10 824 0.587786763137 Henry Cohn, 2026, needs more optimization.
10 825 0.587996598037 Henry Cohn, 2026, needs more optimization.
10 826 0.588076132495 Henry Cohn, 2026, needs more optimization.
10 827 0.588319285386 Henry Cohn, 2026, needs more optimization.
10 828 0.588502631637 Henry Cohn, 2026, needs more optimization.
10 829 0.588823528165 Henry Cohn, 2026, needs more optimization.
10 830 0.589009659207 Henry Cohn, 2026, needs more optimization.
10 831 0.589310407640 Henry Cohn, 2026, needs more optimization.
10 832 0.589564696784 Henry Cohn, 2026, needs more optimization.
10 833 0.589775473342 Henry Cohn, 2026, needs more optimization.
10 834 0.589846874509 Henry Cohn, 2026, needs more optimization.
10 835 0.589993115791 Henry Cohn, 2026, needs more optimization.
10 836 0.590054085268 Henry Cohn, 2026, needs more optimization.
10 837 0.590078627988 Henry Cohn, 2026, needs more optimization.
10 838 0.590301327407 Henry Cohn, 2026, needs more optimization.
10 839 0.590448809256 Henry Cohn, 2026, needs more optimization.
10 840 0.590678101842 Henry Cohn, 2026, needs more optimization.
10 841 0.590875498747 Henry Cohn, 2026, needs more optimization.
10 842 0.590945908606 Henry Cohn, 2026, needs more optimization.
10 844 0.591057031482 Henry Cohn, 2026, needs more optimization.
10 845 0.591188606273 Henry Cohn, 2026, needs more optimization.
10 846 0.591519553764 Henry Cohn, 2026, needs more optimization.
10 847 0.591537653648 Henry Cohn, 2026, needs more optimization.
10 848 0.591686796690 Henry Cohn, 2026, needs more optimization.
10 849 0.591972282824 Henry Cohn, 2026, needs more optimization.
10 850 0.592058377395 Henry Cohn, 2026, needs more optimization.
10 851 0.592173749484 Henry Cohn, 2026, needs more optimization.
10 855 0.592344212249 Henry Cohn, 2026, needs more optimization.
10 856 0.592566490520 Henry Cohn, 2026, needs more optimization.
10 857 0.592575138929 Henry Cohn, 2026, needs more optimization.
10 858 0.592588257886 Henry Cohn, 2026, needs more optimization.
10 859 0.592800438269 Henry Cohn, 2026, needs more optimization.
10 860 0.592911534214 Henry Cohn, 2026, needs more optimization.
10 861 0.593027713553 Henry Cohn, 2026, needs more optimization.
10 862 0.593249336448 Henry Cohn, 2026, needs more optimization.
10 863 0.593614682812 Henry Cohn, 2026, needs more optimization.
10 864 0.593686872138 Henry Cohn, 2026, needs more optimization.
10 865 0.593849001625 Henry Cohn, 2026, needs more optimization.
10 866 0.593876623733 Henry Cohn, 2026, needs more optimization.
10 867 0.594041541284 Henry Cohn, 2026, needs more optimization.
10 868 0.594109814582 Henry Cohn, 2026, needs more optimization.
10 869 0.594151576199 Henry Cohn, 2026, needs more optimization.
10 870 0.594167096877 Henry Cohn, 2026, needs more optimization.
10 871 0.594229708977 Henry Cohn, 2026, needs more optimization.
10 872 0.594241413178 Henry Cohn, 2026, needs more optimization.
10 873 0.594425563258 Henry Cohn, 2026, needs more optimization.
10 874 0.594635251725 Henry Cohn, 2026, needs more optimization.
10 875 0.594861088964 Henry Cohn, 2026, needs more optimization.
10 876 0.595242496093 Henry Cohn, 2026, needs more optimization.
10 877 0.595309911494 Henry Cohn, 2026, needs more optimization.
10 878 0.595456796647 Henry Cohn, 2026, needs more optimization.
10 879 0.595511980163 Henry Cohn, 2026, needs more optimization.
10 880 0.595596291610 Henry Cohn, 2026, needs more optimization.
10 881 0.595671733931 Henry Cohn, 2026, needs more optimization.
10 882 0.595823913849 Henry Cohn, 2026, needs more optimization.
10 883 0.595979932426 Henry Cohn, 2026, needs more optimization.
10 885 0.596122236861 Henry Cohn, 2026, needs more optimization.
10 886 0.596149146585 Henry Cohn, 2026, needs more optimization.
10 887 0.596283125359 Henry Cohn, 2026, needs more optimization.
10 888 0.596346835909 Henry Cohn, 2026, needs more optimization.
10 889 0.596379028204 Henry Cohn, 2026, needs more optimization.
10 890 0.596596365912 Henry Cohn, 2026, needs more optimization.
10 891 0.596748509535 Henry Cohn, 2026, needs more optimization.
10 892 0.596874719976 Henry Cohn, 2026, needs more optimization.
10 893 0.597076403351 Henry Cohn, 2026, needs more optimization.
10 894 0.597111300783 Henry Cohn, 2026, needs more optimization.
10 895 0.597175987669 Henry Cohn, 2026, needs more optimization.
10 896 0.597196793705 Henry Cohn, 2026, needs more optimization.
10 897 0.597346587870 Henry Cohn, 2026, needs more optimization.
10 898 0.597476444913 Henry Cohn, 2026, needs more optimization.
10 899 0.597525052541 Henry Cohn, 2026, needs more optimization.
10 900 0.597701907355 Henry Cohn, 2026, needs more optimization.
10 901 0.597786053234 Henry Cohn, 2026, needs more optimization.
10 902 0.597843452318 Henry Cohn, 2026, needs more optimization.
10 903 0.597847460043 Henry Cohn, 2026, needs more optimization.
10 904 0.597888346727 Henry Cohn, 2026, needs more optimization.
10 905 0.597984039072 Henry Cohn, 2026, needs more optimization.
10 906 0.598007687077 Henry Cohn, 2026, needs more optimization.
10 907 0.598018336747 Henry Cohn, 2026, needs more optimization.
10 908 0.598035257181 Henry Cohn, 2026, needs more optimization.
10 909 0.598071236922 Henry Cohn, 2026, needs more optimization.
10 910 0.598088570687 Henry Cohn, 2026, needs more optimization.
10 911 0.598279750493 Henry Cohn, 2026, needs more optimization.
10 912 0.598287932254 Henry Cohn, 2026, needs more optimization.
10 913 0.598413896319 Henry Cohn, 2026, needs more optimization.
10 914 0.598463545705 Henry Cohn, 2026, needs more optimization.
10 915 0.598478010049 Henry Cohn, 2026, needs more optimization.
10 916 0.598552367085 Henry Cohn, 2026, needs more optimization.
10 917 0.598829131996 Henry Cohn, 2026, needs more optimization.
10 918 0.598978806204 Henry Cohn, 2026, needs more optimization.
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 0.193275935700 Henry Cohn, 2025.
11 48 0.198565163418 Henry Cohn, 2025.
11 49 0.201215495510 Henry Cohn, 2025.
11 50 0.204597123448 Henry Cohn, 2026.
11 51 0.204957387535 Henry Cohn, 2023.
Minimal polynomial listed in plain text data
11 52 0.208005237402 Henry Cohn, 2024.
11 53 0.209746584158 Henry Cohn, 2026.
11 54 0.210461540583 Henry Cohn, 2026, needs more optimization.
11 55 0.211949051009 Henry Cohn, 2026.
11 56 0.214650086321 Henry Cohn, 2026.
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 0.232764852407 Henry Cohn, 2024.
295⁢x2−30⁢x−9
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 0.253228698400 Henry Cohn, 2026, needs more optimization.
11 73 0.253339083973 Henry Cohn, 2026, needs more optimization.
11 74 0.254512603419 Henry Cohn, 2026, needs more optimization.
11 75 0.255988313327 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.258732322188 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.259892832741 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 78 0.260087123998 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 79 0.260685334645 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 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 0.263230805623 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 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 0.265218731030 Henry Cohn, 2026, needs more optimization.
11 85 0.266213158428 Henry Cohn, 2026, needs more optimization.
11 90 0.267191024627 Henry Cohn, 2026.
71⁢x2−4⁢x−4
11 91 0.273036354862 Henry Cohn, 2026, needs more optimization.
11 92 0.280562763187 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 93 0.281614171527 Henry Cohn, 2026, needs more optimization.
11 94 0.282805919347 Henry Cohn, 2026, needs more optimization.
11 95 0.283457427842 Henry Cohn, 2026, needs more optimization.
11 96 0.284712519790 Henry Cohn, 2026, needs more optimization.
11 97 0.285892018673 Henry Cohn, 2026, needs more optimization.
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 0.288711844667 Henry Cohn, 2026, needs more optimization.
11 100 0.299860274989 Henry Cohn, 2026, needs more optimization.
11 101 0.302859567704 Henry Cohn, 2026, needs more optimization.
11 102 0.304440333190 Henry Cohn, 2026, needs more optimization.
11 104 0.305242207297 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.305250484673 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 106 0.307220308762 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 107 0.310786210597 Henry Cohn, 2026, needs more optimization.
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 0.319003371306 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.321716923642 Henry Cohn, 2026, needs more optimization.
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 0.322397020002 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 113 0.322495674810 Henry Cohn, 2026, needs more optimization.
11 114 0.322821812490 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.322930921448 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 116 0.323595455241 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.324275804961 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.324838464973 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.324907761815 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.325028609540 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.325463885933 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.325937891123 Henry Cohn, 2026, needs more optimization.
11 123 0.328143225978 Henry Cohn, 2026, needs more optimization.
11 124 0.328653380545 Henry Cohn, 2026, needs more optimization.
11 125 0.330506263225 Henry Cohn, 2026, needs more optimization.
11 126 0.331467596102 Henry Cohn, 2026, needs more optimization.
11 127 0.332272160364 Henry Cohn, 2026, needs more optimization.
11 128 0.332276381082 Henry Cohn, 2026, needs more optimization.
11 129 0.332396061001 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.332408353061 Henry Cohn, 2026, needs more optimization.
11 131 0.332711277413 Henry Cohn, 2026, needs more optimization.
11 132 0.333242944257 Henry Cohn, 2026, needs more optimization.
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 0.361519994864 Henry Cohn, 2026, needs more optimization.
11 158 0.363865623413 Henry Cohn, 2026, needs more optimization.
11 159 0.368509315065 Henry Cohn, 2026, needs more optimization.
11 160 0.371731307051 Henry Cohn, 2026, needs more optimization.
11 161 0.373123026323 Henry Cohn, 2026, needs more optimization.
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 0.384622491463 Henry Cohn, 2026, needs more optimization.
11 168 0.385234042253 Henry Cohn, 2026, needs more optimization.
11 169 0.386585972543 Henry Cohn, 2026, needs more optimization.
11 170 0.389153494499 Henry Cohn, 2026, needs more optimization.
11 171 0.391487796161 Henry Cohn, 2026, needs more optimization.
11 172 0.391571190131 Henry Cohn, 2026, needs more optimization.
11 173 0.391609777581 Henry Cohn, 2026, needs more optimization.
11 174 0.391936929332 Henry Cohn, 2026, needs more optimization.
11 175 0.392682470908 Henry Cohn, 2026, needs more optimization.
11 176 0.393349025957 Henry Cohn, 2026, needs more optimization.
11 177 0.393927354703 Henry Cohn, 2026, needs more optimization.
11 178 0.394098750019 Henry Cohn, 2026, needs more optimization.
11 179 0.394883640918 Henry Cohn, 2026, needs more optimization.
11 180 0.395423150695 Henry Cohn, 2026, needs more optimization.
11 181 0.396164944385 Henry Cohn, 2026, needs more optimization.
11 182 0.396845343750 Henry Cohn, 2026, needs more optimization.
11 183 0.397265518908 Henry Cohn, 2026, needs more optimization.
11 184 0.397679294857 Henry Cohn, 2026, needs more optimization.
11 185 0.398484946869 Henry Cohn, 2026, needs more optimization.
11 186 0.399288628193 Henry Cohn, 2026, needs more optimization.
11 187 0.399800831771 Henry Cohn, 2026, needs more optimization.
11 188 0.400248784544 Henry Cohn, 2026, needs more optimization.
11 189 0.400792020760 Henry Cohn, 2026, needs more optimization.
11 190 0.401713205483 Henry Cohn, 2026, needs more optimization.
11 191 0.402667178861 Henry Cohn, 2026, needs more optimization.
11 192 0.403023616200 Henry Cohn, 2026, needs more optimization.
11 193 0.403528944674 Henry Cohn, 2026, needs more optimization.
11 194 0.403786110962 Henry Cohn, 2026, needs more optimization.
11 195 0.404517427391 Henry Cohn, 2026, needs more optimization.
11 196 0.406958301566 Henry Cohn, 2026, needs more optimization.
11 197 0.408055659895 Henry Cohn, 2026, needs more optimization.
11 198 0.409009683292 Henry Cohn, 2026, needs more optimization.
11 199 0.410354056251 Henry Cohn, 2026, needs more optimization.
11 200 0.410532358498 Henry Cohn, 2026, needs more optimization.
11 201 0.411042593909 Henry Cohn, 2026, needs more optimization.
11 202 0.411548296421 Henry Cohn, 2026, needs more optimization.
11 203 0.412155119813 Henry Cohn, 2026, needs more optimization.
11 204 0.412885570122 Henry Cohn, 2026, needs more optimization.
11 205 0.413253661868 Henry Cohn, 2026, needs more optimization.
11 206 0.413868245540 Henry Cohn, 2026, needs more optimization.
11 207 0.413868532449 Henry Cohn, 2026, needs more optimization.
11 208 0.414301120557 Henry Cohn, 2026, needs more optimization.
11 209 0.414793060556 Henry Cohn, 2026, needs more optimization.
11 210 0.415147413521 Henry Cohn, 2026, needs more optimization.
11 211 0.415408610376 Henry Cohn, 2026, needs more optimization.
11 212 0.416172002367 Henry Cohn, 2026, needs more optimization.
11 213 0.416530386359 Henry Cohn, 2026, needs more optimization.
11 214 0.417327484557 Henry Cohn, 2026, needs more optimization.
11 215 0.417860254120 Henry Cohn, 2026, needs more optimization.
11 216 0.418437270769 Henry Cohn, 2026, needs more optimization.
11 217 0.418727098232 Henry Cohn, 2026, needs more optimization.
11 218 0.419764082283 Henry Cohn, 2026, needs more optimization.
11 219 0.420157485141 Henry Cohn, 2026, needs more optimization.
11 220 0.420562341523 Henry Cohn, 2026, needs more optimization.
11 221 0.421087940823 Henry Cohn, 2026, needs more optimization.
11 222 0.421867425446 Henry Cohn, 2026, needs more optimization.
11 223 0.422307250737 Henry Cohn, 2026, needs more optimization.
11 224 0.422945583304 Henry Cohn, 2026, needs more optimization.
11 225 0.423233498690 Henry Cohn, 2026, needs more optimization.
11 226 0.423612266691 Henry Cohn, 2026, needs more optimization.
11 227 0.423769078978 Henry Cohn, 2026, needs more optimization.
11 228 0.424182257069 Henry Cohn, 2026, needs more optimization.
11 229 0.424446763015 Henry Cohn, 2026, needs more optimization.
11 230 0.425093293108 Henry Cohn, 2026, needs more optimization.
11 231 0.425438309453 Henry Cohn, 2026, needs more optimization.
11 232 0.425743249918 Henry Cohn, 2026, needs more optimization.
11 233 0.425938071706 Henry Cohn, 2026, needs more optimization.
11 234 0.426272854793 Henry Cohn, 2026, needs more optimization.
11 235 0.426732412517 Henry Cohn, 2026, needs more optimization.
11 236 0.426950029044 Henry Cohn, 2026, needs more optimization.
11 237 0.427230542448 Henry Cohn, 2026, needs more optimization.
11 238 0.427622896593 Henry Cohn, 2026, needs more optimization.
11 239 0.427804895074 Henry Cohn, 2026, needs more optimization.
11 240 0.428084664020 Henry Cohn, 2026, needs more optimization.
11 241 0.428393928102 Henry Cohn, 2026, needs more optimization.
11 242 0.428508464480 Henry Cohn, 2026, needs more optimization.
11 243 0.429039523686 Henry Cohn, 2026, needs more optimization.
11 244 0.429658115925 Henry Cohn, 2026, needs more optimization.
11 245 0.430431411282 Henry Cohn, 2026, needs more optimization.
11 246 0.430675783815 Henry Cohn, 2026, needs more optimization.
11 247 0.430850754760 Henry Cohn, 2026, needs more optimization.
11 248 0.431482315101 Henry Cohn, 2026, needs more optimization.
11 249 0.432401221335 Henry Cohn, 2026, needs more optimization.
11 250 0.433209644256 Henry Cohn, 2026, needs more optimization.
11 251 0.433550956091 Henry Cohn, 2026, needs more optimization.
11 252 0.434019903880 Henry Cohn, 2026, needs more optimization.
11 253 0.435512582796 Henry Cohn, 2026, needs more optimization.
11 254 0.435935144577 Henry Cohn, 2026, needs more optimization.
11 255 0.436527424655 Henry Cohn, 2026, needs more optimization.
11 256 0.437928928124 Henry Cohn, 2026, needs more optimization.
11 257 0.438603478211 Henry Cohn, 2026, needs more optimization.
11 258 0.438675301509 Henry Cohn, 2026, needs more optimization.
11 259 0.438798555616 Henry Cohn, 2026, needs more optimization.
11 260 0.438854959354 Henry Cohn, 2026, needs more optimization.
11 261 0.438878380164 Henry Cohn, 2026, needs more optimization.
11 262 0.438920588549 Henry Cohn, 2026, needs more optimization.
11 263 0.439027132087 Henry Cohn, 2026, needs more optimization.
11 264 0.439053233838 Henry Cohn, 2026, needs more optimization.
11 265 0.439101645012 Henry Cohn, 2026, needs more optimization.
11 266 0.439142483253 Henry Cohn, 2026, needs more optimization.
11 267 0.439225191162 Henry Cohn, 2026, needs more optimization.
11 268 0.439508580793 Henry Cohn, 2026, needs more optimization.
11 269 0.439605992743 Henry Cohn, 2026, needs more optimization.
11 270 0.439798623474 Henry Cohn, 2026, needs more optimization.
11 271 0.439890227931 Henry Cohn, 2026, needs more optimization.
11 272 0.439964427757 Henry Cohn, 2026, needs more optimization.
11 273 0.440336132328 Henry Cohn, 2026, needs more optimization.
11 274 0.440416910025 Henry Cohn, 2026, needs more optimization.
11 275 0.440521234946 Henry Cohn, 2026, needs more optimization.
11 276 0.440762915378 Henry Cohn, 2026, needs more optimization.
11 277 0.441105967712 Henry Cohn, 2026, needs more optimization.
11 278 0.441362175848 Henry Cohn, 2026, needs more optimization.
11 279 0.441568562537 Henry Cohn, 2026, needs more optimization.
11 280 0.441931345263 Henry Cohn, 2026, needs more optimization.
11 281 0.442407786123 Henry Cohn, 2026, needs more optimization.
11 282 0.442680578788 Henry Cohn, 2026, needs more optimization.
11 283 0.442753424761 Henry Cohn, 2026, needs more optimization.
11 284 0.443024924171 Henry Cohn, 2026, needs more optimization.
11 285 0.443573531438 Henry Cohn, 2026, needs more optimization.
11 286 0.444109062568 Henry Cohn, 2026, needs more optimization.
11 287 0.444195345434 Henry Cohn, 2026, needs more optimization.
11 288 0.444766564813 Henry Cohn, 2026, needs more optimization.
11 289 0.445146520062 Henry Cohn, 2026, needs more optimization.
11 290 0.445398313080 Henry Cohn, 2026, needs more optimization.
11 291 0.446220347121 Henry Cohn, 2026, needs more optimization.
11 292 0.447113833088 Henry Cohn, 2026, needs more optimization.
11 293 0.447786936419 Henry Cohn, 2026, needs more optimization.
11 294 0.448382362660 Henry Cohn, 2026, needs more optimization.
11 295 0.449282180801 Henry Cohn, 2026, needs more optimization.
11 296 0.451322873492 Henry Cohn, 2026, needs more optimization.
11 297 0.452264802931 Henry Cohn, 2026, needs more optimization.
11 298 0.453696173825 Henry Cohn, 2026, needs more optimization.
11 299 0.454253059291 Henry Cohn, 2026, needs more optimization.
11 300 0.455148734696 Henry Cohn, 2026, needs more optimization.
11 301 0.455706518571 Henry Cohn, 2026, needs more optimization.
11 302 0.456179959136 Henry Cohn, 2026, needs more optimization.
11 303 0.457623218472 Henry Cohn, 2026, needs more optimization.
11 304 0.458914891379 Henry Cohn, 2026, needs more optimization.
11 305 0.459780044889 Henry Cohn, 2026, needs more optimization.
11 306 0.460533347733 Henry Cohn, 2026, needs more optimization.
11 307 0.461226213756 Henry Cohn, 2026, needs more optimization.
11 308 0.462094296156 Henry Cohn, 2026, needs more optimization.
11 309 0.462692187117 Henry Cohn, 2026, needs more optimization.
11 310 0.463393415248 Henry Cohn, 2026, needs more optimization.
11 311 0.463576279873 Henry Cohn, 2026, needs more optimization.
11 312 0.464074772151 Henry Cohn, 2026, needs more optimization.
11 313 0.464243515969 Henry Cohn, 2026, needs more optimization.
11 314 0.464725623820 Henry Cohn, 2026, needs more optimization.
11 315 0.464926277903 Henry Cohn, 2026, needs more optimization.
11 316 0.465159703512 Henry Cohn, 2026, needs more optimization.
11 317 0.465601763645 Henry Cohn, 2026, needs more optimization.
11 318 0.465990786227 Henry Cohn, 2026, needs more optimization.
11 319 0.466202076633 Henry Cohn, 2026, needs more optimization.
11 320 0.466384819948 Henry Cohn, 2026, needs more optimization.
11 321 0.466910029405 Henry Cohn, 2026, needs more optimization.
11 322 0.467032673393 Henry Cohn, 2026, needs more optimization.
11 323 0.467778335146 Henry Cohn, 2026, needs more optimization.
11 324 0.468177637687 Henry Cohn, 2026, needs more optimization.
11 325 0.468719575440 Henry Cohn, 2026, needs more optimization.
11 326 0.468907202279 Henry Cohn, 2026, needs more optimization.
11 327 0.469212001580 Henry Cohn, 2026, needs more optimization.
11 328 0.469740353968 Henry Cohn, 2026, needs more optimization.
11 329 0.470050351702 Henry Cohn, 2026, needs more optimization.
11 342 0.470588235295 Henry Cohn, 2026.
17⁢x−8
11 343 0.472339723606 Henry Cohn, 2026, needs more optimization.
11 344 0.473621574782 Henry Cohn, 2026, needs more optimization.
11 345 0.474462063528 Henry Cohn, 2026, needs more optimization.
11 346 0.474891626548 Henry Cohn, 2026, needs more optimization.
11 347 0.475249850268 Henry Cohn, 2026, needs more optimization.
11 348 0.475929663198 Henry Cohn, 2026, needs more optimization.
11 349 0.476440206494 Henry Cohn, 2026, needs more optimization.
11 350 0.476740501266 Henry Cohn, 2026, needs more optimization.
11 351 0.477072140776 Henry Cohn, 2026, needs more optimization.
11 352 0.477384795934 Henry Cohn, 2026, needs more optimization.
11 353 0.477684413440 Henry Cohn, 2026, needs more optimization.
11 354 0.478293625324 Henry Cohn, 2026, needs more optimization.
11 355 0.478650424552 Henry Cohn, 2026, needs more optimization.
11 356 0.478967884309 Henry Cohn, 2026, needs more optimization.
11 357 0.479208977485 Henry Cohn, 2026, needs more optimization.
11 358 0.479272884489 Henry Cohn, 2026, needs more optimization.
11 359 0.479397129615 Henry Cohn, 2026, needs more optimization.
11 360 0.479421239875 Henry Cohn, 2026, needs more optimization.
11 361 0.479969018570 Henry Cohn, 2026, needs more optimization.
11 362 0.480606765796 Henry Cohn, 2026, needs more optimization.
11 363 0.480690371340 Henry Cohn, 2026, needs more optimization.
11 364 0.480881010918 Henry Cohn, 2026, needs more optimization.
11 365 0.481053642263 Henry Cohn, 2026, needs more optimization.
11 366 0.481100408044 Henry Cohn, 2026, needs more optimization.
11 367 0.481283617459 Henry Cohn, 2026, needs more optimization.
11 368 0.481319469608 Henry Cohn, 2026, needs more optimization.
11 369 0.481678189202 Henry Cohn, 2026, needs more optimization.
11 370 0.481690077735 Henry Cohn, 2026, needs more optimization.
11 371 0.481865748259 Henry Cohn, 2026, needs more optimization.
11 372 0.481990115618 Henry Cohn, 2026, needs more optimization.
11 373 0.482300208843 Henry Cohn, 2026, needs more optimization.
11 374 0.483060801776 Henry Cohn, 2026, needs more optimization.
11 375 0.483402560280 Henry Cohn, 2026, needs more optimization.
11 376 0.483534319237 Henry Cohn, 2026, needs more optimization.
11 378 0.483552418537 Henry Cohn, 2026, needs more optimization.
11 379 0.483618350762 Henry Cohn, 2026, needs more optimization.
11 380 0.483713509465 Henry Cohn, 2026, needs more optimization.
11 382 0.483893022546 Henry Cohn, 2026, needs more optimization.
11 383 0.484253418253 Henry Cohn, 2026, needs more optimization.
11 384 0.484295717447 Henry Cohn, 2026, needs more optimization.
11 385 0.484347923721 Henry Cohn, 2026, needs more optimization.
11 386 0.484350025956 Henry Cohn, 2026, needs more optimization.
11 387 0.484424191403 Henry Cohn, 2026, needs more optimization.
11 388 0.484933672504 Henry Cohn, 2026, needs more optimization.
11 389 0.485509698712 Henry Cohn, 2026, needs more optimization.
11 390 0.485513939869 Henry Cohn, 2026, needs more optimization.
11 391 0.485526205796 Henry Cohn, 2026, needs more optimization.
11 392 0.485543029973 Henry Cohn, 2026, needs more optimization.
11 393 0.485597976397 Henry Cohn, 2026, needs more optimization.
11 394 0.485652144461 Henry Cohn, 2026, needs more optimization.
11 395 0.485704175634 Henry Cohn, 2026, needs more optimization.
11 396 0.485724474045 Henry Cohn, 2026, needs more optimization.
11 397 0.485769178164 Henry Cohn, 2026, needs more optimization.
11 398 0.485772429381 Henry Cohn, 2026, needs more optimization.
11 399 0.485780389225 Henry Cohn, 2026, needs more optimization.
11 400 0.486058473656 Henry Cohn, 2026, needs more optimization.
11 401 0.486412079527 Henry Cohn, 2026, needs more optimization.
11 402 0.486538204404 Henry Cohn, 2026, needs more optimization.
11 403 0.486571141690 Henry Cohn, 2026, needs more optimization.
11 404 0.486635262537 Henry Cohn, 2026, needs more optimization.
11 405 0.487014980115 Henry Cohn, 2026, needs more optimization.
11 406 0.487080783303 Henry Cohn, 2026, needs more optimization.
11 407 0.487381052819 Henry Cohn, 2026, needs more optimization.
11 408 0.488456355039 Henry Cohn, 2026, needs more optimization.
11 409 0.488552234993 Henry Cohn, 2026, needs more optimization.
11 410 0.488571125128 Henry Cohn, 2026, needs more optimization.
11 411 0.488589520579 Henry Cohn, 2026, needs more optimization.
11 412 0.488776589992 Henry Cohn, 2026, needs more optimization.
11 413 0.488907045763 Henry Cohn, 2026, needs more optimization.
11 414 0.489274573405 Henry Cohn, 2026, needs more optimization.
11 415 0.489340109769 Henry Cohn, 2026, needs more optimization.
11 416 0.489550484004 Henry Cohn, 2026, needs more optimization.
11 417 0.489737166447 Henry Cohn, 2026, needs more optimization.
11 418 0.489854417052 Henry Cohn, 2026, needs more optimization.
11 419 0.489944082602 Henry Cohn, 2026, needs more optimization.
11 420 0.490106599490 Henry Cohn, 2026, needs more optimization.
11 421 0.490262929314 Henry Cohn, 2026, needs more optimization.
11 422 0.490387335121 Henry Cohn, 2026, needs more optimization.
11 423 0.490451207704 Henry Cohn, 2026, needs more optimization.
11 424 0.490563703012 Henry Cohn, 2026, needs more optimization.
11 425 0.490666217011 Henry Cohn, 2026, needs more optimization.
11 426 0.490745867663 Henry Cohn, 2026, needs more optimization.
11 427 0.490926851036 Henry Cohn, 2026, needs more optimization.
11 428 0.491158660700 Henry Cohn, 2026, needs more optimization.
11 429 0.491321713453 Henry Cohn, 2026, needs more optimization.
11 430 0.491604696046 Henry Cohn, 2026, needs more optimization.
11 431 0.491851529774 Henry Cohn, 2026, needs more optimization.
11 432 0.491950193608 Henry Cohn, 2026, needs more optimization.
11 433 0.492117489085 Henry Cohn, 2026, needs more optimization.
11 434 0.492298102390 Henry Cohn, 2026, needs more optimization.
11 435 0.492585160353 Henry Cohn, 2026, needs more optimization.
11 436 0.492712309562 Henry Cohn, 2026, needs more optimization.
11 437 0.492816076284 Henry Cohn, 2026, needs more optimization.
11 438 0.492882757551 Henry Cohn, 2026, needs more optimization.
11 439 0.492898381826 Henry Cohn, 2026, needs more optimization.
11 440 0.493016628292 Henry Cohn, 2026, needs more optimization.
11 441 0.493062159374 Henry Cohn, 2026, needs more optimization.
11 442 0.493091601528 Henry Cohn, 2026, needs more optimization.
11 443 0.493120194134 Henry Cohn, 2026, needs more optimization.
11 444 0.493318439612 Henry Cohn, 2026, needs more optimization.
11 445 0.493324277984 Henry Cohn, 2026, needs more optimization.
11 446 0.494022636084 Henry Cohn, 2026, needs more optimization.
11 447 0.494250726037 Henry Cohn, 2026, needs more optimization.
11 448 0.494359573190 Henry Cohn, 2026, needs more optimization.
11 449 0.495082664998 Henry Cohn, 2026, needs more optimization.
11 450 0.495292114640 Henry Cohn, 2026, needs more optimization.
11 451 0.495431915301 Henry Cohn, 2026, needs more optimization.
11 452 0.495603971424 Henry Cohn, 2026, needs more optimization.
11 453 0.495656152895 Henry Cohn, 2026, needs more optimization.
11 454 0.495846378557 Henry Cohn, 2026, needs more optimization.
11 455 0.495942710616 Henry Cohn, 2026, needs more optimization.
11 456 0.496204212528 Henry Cohn, 2026, needs more optimization.
11 457 0.496228420281 Henry Cohn, 2026, needs more optimization.
11 458 0.496245418441 Henry Cohn, 2026, needs more optimization.
11 459 0.496373166971 Henry Cohn, 2026, needs more optimization.
11 460 0.496708261434 Henry Cohn, 2026, needs more optimization.
11 461 0.497154795016 Henry Cohn, 2026, needs more optimization.
11 462 0.497248989827 Henry Cohn, 2026, needs more optimization.
11 463 0.497326953060 Henry Cohn, 2026, needs more optimization.
11 464 0.497557017024 Henry Cohn, 2026, needs more optimization.
11 465 0.497772828019 Henry Cohn, 2026, needs more optimization.
11 466 0.497849859097 Henry Cohn, 2026, needs more optimization.
11 467 0.497991365935 Henry Cohn, 2026, needs more optimization.
11 468 0.498213572918 Henry Cohn, 2026, needs more optimization.
11 469 0.498242410774 Henry Cohn, 2026, needs more optimization.
11 470 0.498352290450 Henry Cohn, 2026, needs more optimization.
11 471 0.498412700385 Henry Cohn, 2026, needs more optimization.
11 472 0.498739445298 Henry Cohn, 2026, needs more optimization.
11 473 0.498834577545 Henry Cohn, 2026, needs more optimization.
11 474 0.498861085018 Henry Cohn, 2026, needs more optimization.
11 475 0.498867322027 Henry Cohn, 2026, needs more optimization.
11 476 0.498901325549 Henry Cohn, 2026, needs more optimization.
11 477 0.498917120311 Henry Cohn, 2026, needs more optimization.
11 478 0.499634249125 Henry Cohn, 2026, needs more optimization.
11 479 0.499634866359 Henry Cohn, 2026, needs more optimization.
11 480 0.499635008193 Henry Cohn, 2026, needs more optimization.
11 481 0.499635465101 Henry Cohn, 2026, needs more optimization.
11 482 0.499636136488 Henry Cohn, 2026, needs more optimization.
11 483 0.499636734597 Henry Cohn, 2026, needs more optimization.
11 484 0.499636895936 Henry Cohn, 2026, needs more optimization.
11 485 0.499637508444 Henry Cohn, 2026, needs more optimization.
11 486 0.499638037006 Henry Cohn, 2026, needs more optimization.
11 487 0.499638525416 Henry Cohn, 2026, needs more optimization.
11 488 0.499639271367 Henry Cohn, 2026, needs more optimization.
11 489 0.499639532821 Henry Cohn, 2026, needs more optimization.
11 490 0.499640147877 Henry Cohn, 2026, needs more optimization.
11 491 0.499641230104 Henry Cohn, 2026, needs more optimization.
11 492 0.499641650396 Henry Cohn, 2026, needs more optimization.
11 493 0.499641852728 Henry Cohn, 2026, needs more optimization.
11 495 0.499642257528 Henry Cohn, 2026, needs more optimization.
11 496 0.499642717783 Henry Cohn, 2026, needs more optimization.
11 497 0.499643871620 Henry Cohn, 2026, needs more optimization.
11 498 0.499644202268 Henry Cohn, 2026, needs more optimization.
11 499 0.499645006622 Henry Cohn, 2026, needs more optimization.
11 500 0.499645207878 Henry Cohn, 2026, needs more optimization.
11 501 0.499645643704 Henry Cohn, 2026, needs more optimization.
11 503 0.499646039035 Henry Cohn, 2026, needs more optimization.
11 504 0.499646583934 Henry Cohn, 2026, needs more optimization.
11 505 0.499647057549 Henry Cohn, 2026, needs more optimization.
11 506 0.499647154748 Henry Cohn, 2026, needs more optimization.
11 507 0.499647645806 Henry Cohn, 2026, needs more optimization.
11 508 0.499647812993 Henry Cohn, 2026, needs more optimization.
11 509 0.499647905722 Henry Cohn, 2026, needs more optimization.
11 510 0.499648387902 Henry Cohn, 2026, needs more optimization.
11 511 0.499648681047 Henry Cohn, 2026, needs more optimization.
11 512 0.499648956287 Henry Cohn, 2026, needs more optimization.
11 513 0.499649449673 Henry Cohn, 2026, needs more optimization.
11 514 0.499649852580 Henry Cohn, 2026, needs more optimization.
11 515 0.499650178024 Henry Cohn, 2026, needs more optimization.
11 516 0.499651051579 Henry Cohn, 2026, needs more optimization.
11 517 0.499651661366 Henry Cohn, 2026, needs more optimization.
11 518 0.499652047856 Henry Cohn, 2026, needs more optimization.
11 519 0.499652410595 Henry Cohn, 2026, needs more optimization.
11 520 0.499652772744 Henry Cohn, 2026, needs more optimization.
11 521 0.499652857018 Henry Cohn, 2026, needs more optimization.
11 522 0.499653230612 Henry Cohn, 2026, needs more optimization.
11 523 0.499653578473 Henry Cohn, 2026, needs more optimization.
11 524 0.499654103501 Henry Cohn, 2026, needs more optimization.
11 525 0.499654241905 Henry Cohn, 2026, needs more optimization.
11 526 0.499654740725 Henry Cohn, 2026, needs more optimization.
11 528 0.499655318683 Henry Cohn, 2026, needs more optimization.
11 529 0.499655938180 Henry Cohn, 2026, needs more optimization.
11 530 0.499656193863 Henry Cohn, 2026, needs more optimization.
11 531 0.499656372621 Henry Cohn, 2026, needs more optimization.
11 532 0.499658416741 Henry Cohn, 2026, needs more optimization.
11 533 0.499658721467 Henry Cohn, 2026, needs more optimization.
11 534 0.499658804407 Henry Cohn, 2026, needs more optimization.
11 536 0.499658903542 Henry Cohn, 2026, needs more optimization.
11 537 0.499659371274 Henry Cohn, 2026, needs more optimization.
11 538 0.499659780766 Henry Cohn, 2026, needs more optimization.
11 539 0.499660000974 Henry Cohn, 2026, needs more optimization.
11 540 0.499660295837 Henry Cohn, 2026, needs more optimization.
11 541 0.499660822991 Henry Cohn, 2026, needs more optimization.
11 542 0.499661313154 Henry Cohn, 2026, needs more optimization.
11 543 0.499661558793 Henry Cohn, 2026, needs more optimization.
11 544 0.499661802128 Henry Cohn, 2026, needs more optimization.
11 545 0.499662015760 Henry Cohn, 2026, needs more optimization.
11 546 0.499662033284 Henry Cohn, 2026, needs more optimization.
11 549 0.499662313359 Henry Cohn, 2026, needs more optimization.
11 550 0.499662392725 Henry Cohn, 2026, needs more optimization.
11 552 0.499662624264 Henry Cohn, 2026, needs more optimization.
11 557 0.499663110918 Henry Cohn, 2026, needs more optimization.
11 560 0.499663442206 Henry Cohn, 2026, needs more optimization.
11 561 0.499663615640 Henry Cohn, 2026, needs more optimization.
11 562 0.499663636892 Henry Cohn, 2026, needs more optimization.
11 568 0.499663763771 Henry Cohn, 2026, needs more optimization.
11 576 0.499663922110 Henry Cohn, 2026, needs more optimization.
11 585 0.499664042007 Henry Cohn, 2026, needs more optimization.
11 586 0.499665774275 Henry Cohn, 2026, needs more optimization.
11 587 0.499967774882 Henry Cohn, 2026, needs more optimization.
11 588 0.499971077497 Henry Cohn, 2026, needs more optimization.
11 589 0.499974849378 Henry Cohn, 2026, needs more optimization.
11 590 0.499976910299 Henry Cohn, 2026, needs more optimization.
11 593 0.499999989608 A. Novikov, N. Vu, M. Eisenberger, E. Dupont, P.-S. Huang, A. Z. Wagner, S. Shirobokov, B. Kozlovskii, F. J. R. Ruiz, A. Mehrabian, M. P. Kumar, A. See, S. Chaudhuri, G. Holland, A. Davies, S. Nowozin, P. Kohli, and M. Balog, AlphaEvolve: A coding agent for scientific and algorithmic discovery, Google DeepMind white paper, 2025, after some further optimization.
11 594 0.500141288801 Henry Cohn, 2026, needs more optimization.
11 595 0.500503101437 Henry Cohn, 2026, needs more optimization.
11 596 0.500893433636 Henry Cohn, 2026, needs more optimization.
11 597 0.502722760853 Henry Cohn, 2026, needs more optimization.
11 598 0.504210076424 Henry Cohn, 2026, needs more optimization.
11 599 0.505616615113 Henry Cohn, 2026, needs more optimization.
11 600 0.506931807705 Henry Cohn, 2026, needs more optimization.
11 601 0.507717089644 Henry Cohn, 2026, needs more optimization.
11 602 0.508395886177 Henry Cohn, 2026, needs more optimization.
11 603 0.509163141720 Henry Cohn, 2026, needs more optimization.
11 604 0.510190605399 Henry Cohn, 2026, needs more optimization.
11 605 0.510967687545 Henry Cohn, 2026, needs more optimization.
11 606 0.511353649220 Henry Cohn, 2026, needs more optimization.
11 607 0.511630618825 Henry Cohn, 2026, needs more optimization.
11 608 0.512395127773 Henry Cohn, 2026, needs more optimization.
11 609 0.512414029251 Henry Cohn, 2026, needs more optimization.
11 610 0.512751191095 Henry Cohn, 2026, needs more optimization.
11 611 0.513010942904 Henry Cohn, 2026, needs more optimization.
11 612 0.513118759938 Henry Cohn, 2026, needs more optimization.
11 613 0.513245087577 Henry Cohn, 2026, needs more optimization.
11 614 0.513582940477 Henry Cohn, 2026, needs more optimization.
11 615 0.513921424810 Henry Cohn, 2026, needs more optimization.
11 616 0.514253857054 Henry Cohn, 2026, needs more optimization.
11 617 0.515233480209 Henry Cohn, 2026, needs more optimization.
11 618 0.515530277115 Henry Cohn, 2026, needs more optimization.
11 619 0.515667985447 Henry Cohn, 2026, needs more optimization.
11 620 0.515923762848 Henry Cohn, 2026, needs more optimization.
11 621 0.516094745010 Henry Cohn, 2026, needs more optimization.
11 622 0.516138531889 Henry Cohn, 2026, needs more optimization.
11 623 0.516295603185 Henry Cohn, 2026, needs more optimization.
11 624 0.516366836649 Henry Cohn, 2026, needs more optimization.
11 625 0.518694544639 Henry Cohn, 2026, needs more optimization.
11 626 0.518696569911 Henry Cohn, 2026, needs more optimization.
11 627 0.519473538246 Henry Cohn, 2026, needs more optimization.
11 628 0.519676829850 Henry Cohn, 2026, needs more optimization.
11 629 0.519688852194 Henry Cohn, 2026, needs more optimization.
11 630 0.520068274232 Henry Cohn, 2026, needs more optimization.
11 631 0.520218812861 Henry Cohn, 2026, needs more optimization.
11 632 0.520768021470 Henry Cohn, 2026, needs more optimization.
11 633 0.521875452023 Henry Cohn, 2026, needs more optimization.
11 634 0.521947104439 Henry Cohn, 2026, needs more optimization.
11 635 0.522145581443 Henry Cohn, 2026, needs more optimization.
11 636 0.522324160491 Henry Cohn, 2026, needs more optimization.
11 637 0.523230727369 Henry Cohn, 2026, needs more optimization.
11 638 0.525364568931 Henry Cohn, 2026, needs more optimization.
11 639 0.525737605363 Henry Cohn, 2026, needs more optimization.
11 640 0.527479543291 Henry Cohn, 2026, needs more optimization.
11 641 0.528426037139 Henry Cohn, 2026, needs more optimization.
11 642 0.528428574996 Henry Cohn, 2026, needs more optimization.
11 643 0.528455433566 Henry Cohn, 2026, needs more optimization.
11 644 0.528467057363 Henry Cohn, 2026, needs more optimization.
11 645 0.528495203800 Henry Cohn, 2026, needs more optimization.
11 646 0.528505061150 Henry Cohn, 2026, needs more optimization.
11 647 0.528506118343 Henry Cohn, 2026, needs more optimization.
11 648 0.528528578856 Henry Cohn, 2026, needs more optimization.
11 649 0.528530503850 Henry Cohn, 2026, needs more optimization.
11 650 0.528566188038 Henry Cohn, 2026, needs more optimization.
11 651 0.528569930396 Henry Cohn, 2026, needs more optimization.
11 652 0.528617597491 Henry Cohn, 2026, needs more optimization.
11 653 0.528629297836 Henry Cohn, 2026, needs more optimization.
11 654 0.528991006057 Henry Cohn, 2026, needs more optimization.
11 655 0.529275327836 Henry Cohn, 2026, needs more optimization.
11 656 0.529807463639 Henry Cohn, 2026, needs more optimization.
11 657 0.530476706180 Henry Cohn, 2026, needs more optimization.
11 658 0.531056501527 Henry Cohn, 2026, needs more optimization.
11 659 0.531512273676 Henry Cohn, 2026, needs more optimization.
11 660 0.532000599603 Henry Cohn, 2026, needs more optimization.
11 661 0.533064845178 Henry Cohn, 2026, needs more optimization.
11 662 0.533581669018 Henry Cohn, 2026, needs more optimization.
11 663 0.533949004357 Henry Cohn, 2026, needs more optimization.
11 664 0.534283221371 Henry Cohn, 2026, needs more optimization.
11 665 0.534818996089 Henry Cohn, 2026, needs more optimization.
11 666 0.535110504200 Henry Cohn, 2026, needs more optimization.
11 667 0.535576100812 Henry Cohn, 2026, needs more optimization.
11 668 0.535894335617 Henry Cohn, 2026, needs more optimization.
11 669 0.536174061698 Henry Cohn, 2026, needs more optimization.
11 670 0.536295467163 Henry Cohn, 2026, needs more optimization.
11 671 0.536574870734 Henry Cohn, 2026, needs more optimization.
11 672 0.536636231453 Henry Cohn, 2026, needs more optimization.
11 673 0.536651484360 Henry Cohn, 2026, needs more optimization.
11 674 0.536664584253 Henry Cohn, 2026, needs more optimization.
11 675 0.536831348270 Henry Cohn, 2026, needs more optimization.
11 676 0.537217590739 Henry Cohn, 2026, needs more optimization.
11 677 0.537565353787 Henry Cohn, 2026, needs more optimization.
11 678 0.537684459347 Henry Cohn, 2026, needs more optimization.
11 679 0.538299555535 Henry Cohn, 2026, needs more optimization.
11 680 0.538650466749 Henry Cohn, 2026, needs more optimization.
11 681 0.538889608050 Henry Cohn, 2026, needs more optimization.
11 682 0.539228478421 Henry Cohn, 2026, needs more optimization.
11 683 0.539577287100 Henry Cohn, 2026, needs more optimization.
11 684 0.539725333778 Henry Cohn, 2026, needs more optimization.
11 685 0.540141879282 Henry Cohn, 2026, needs more optimization.
11 686 0.540492762010 Henry Cohn, 2026, needs more optimization.
11 687 0.540832276983 Henry Cohn, 2026, needs more optimization.
11 688 0.541275171953 Henry Cohn, 2026, needs more optimization.
11 689 0.541743118611 Henry Cohn, 2026, needs more optimization.
11 690 0.542067584009 Henry Cohn, 2026, needs more optimization.
11 691 0.542462358380 Henry Cohn, 2026, needs more optimization.
11 692 0.542818942111 Henry Cohn, 2026, needs more optimization.
11 693 0.543089735062 Henry Cohn, 2026, needs more optimization.
11 694 0.543187815839 Henry Cohn, 2026, needs more optimization.
11 695 0.543589848014 Henry Cohn, 2026, needs more optimization.
11 696 0.543979847260 Henry Cohn, 2026, needs more optimization.
11 697 0.544307802265 Henry Cohn, 2026, needs more optimization.
11 698 0.544589657806 Henry Cohn, 2026, needs more optimization.
11 699 0.544802914260 Henry Cohn, 2026, needs more optimization.
11 700 0.545144512951 Henry Cohn, 2026, needs more optimization.
11 701 0.545413165865 Henry Cohn, 2026, needs more optimization.
11 702 0.545684173679 Henry Cohn, 2026, needs more optimization.
11 703 0.545970157281 Henry Cohn, 2026, needs more optimization.
11 704 0.546210794804 Henry Cohn, 2026, needs more optimization.
11 705 0.546507403126 Henry Cohn, 2026, needs more optimization.
11 706 0.546662304173 Henry Cohn, 2026, needs more optimization.
11 707 0.546918337189 Henry Cohn, 2026, needs more optimization.
11 708 0.547139840644 Henry Cohn, 2026, needs more optimization.
11 709 0.547384333997 Henry Cohn, 2026, needs more optimization.
11 710 0.547667552110 Henry Cohn, 2026, needs more optimization.
11 711 0.547943590418 Henry Cohn, 2026, needs more optimization.
11 712 0.548131237597 Henry Cohn, 2026, needs more optimization.
11 713 0.548453751257 Henry Cohn, 2026, needs more optimization.
11 714 0.548669989272 Henry Cohn, 2026, needs more optimization.
11 715 0.548813605516 Henry Cohn, 2026, needs more optimization.
11 716 0.549057205747 Henry Cohn, 2026, needs more optimization.
11 717 0.549131898408 Henry Cohn, 2026, needs more optimization.
11 718 0.549492485510 Henry Cohn, 2026, needs more optimization.
11 719 0.549990903514 Henry Cohn, 2026, needs more optimization.
11 720 0.550087212879 Henry Cohn, 2026, needs more optimization.
11 721 0.550501115148 Henry Cohn, 2026, needs more optimization.
11 722 0.550547314152 Henry Cohn, 2026, needs more optimization.
11 723 0.550800361782 Henry Cohn, 2026, needs more optimization.
11 724 0.550817170687 Henry Cohn, 2026, needs more optimization.
11 725 0.550847212926 Henry Cohn, 2026, needs more optimization.
11 726 0.551382304246 Henry Cohn, 2026, needs more optimization.
11 727 0.551700427502 Henry Cohn, 2026, needs more optimization.
11 728 0.551719448294 Henry Cohn, 2026, needs more optimization.
11 729 0.552168453023 Henry Cohn, 2026, needs more optimization.
11 730 0.552253804872 Henry Cohn, 2026, needs more optimization.
11 731 0.552632988749 Henry Cohn, 2026, needs more optimization.
11 732 0.552669711356 Henry Cohn, 2026, needs more optimization.
11 733 0.552861421612 Henry Cohn, 2026, needs more optimization.
11 734 0.552890518108 Henry Cohn, 2026, needs more optimization.
11 735 0.553285804415 Henry Cohn, 2026, needs more optimization.
11 736 0.553545592351 Henry Cohn, 2026, needs more optimization.
11 737 0.554009924243 Henry Cohn, 2026, needs more optimization.
11 738 0.554176146556 Henry Cohn, 2026, needs more optimization.
11 739 0.554220152111 Henry Cohn, 2026, needs more optimization.
11 740 0.554280686725 Henry Cohn, 2026, needs more optimization.
11 741 0.554319262032 Henry Cohn, 2026, needs more optimization.
11 742 0.554486021420 Henry Cohn, 2026, needs more optimization.
11 743 0.555117080932 Henry Cohn, 2026, needs more optimization.
11 744 0.555236680418 Henry Cohn, 2026, needs more optimization.
11 982 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
11 983 0.560839400540 Henry Cohn, 2026, needs more optimization.
11 984 0.562690903849 Henry Cohn, 2026, needs more optimization.
11 985 0.563563640249 Henry Cohn, 2026, needs more optimization.
11 986 0.564060927209 Henry Cohn, 2026, needs more optimization.
11 987 0.564347413690 Henry Cohn, 2026, needs more optimization.
11 988 0.564561350590 Henry Cohn, 2026, needs more optimization.
11 989 0.564698733087 Henry Cohn, 2026, needs more optimization.
11 990 0.564804536701 Henry Cohn, 2026, needs more optimization.
11 991 0.564867040904 Henry Cohn, 2026, needs more optimization.
11 992 0.564934084568 Henry Cohn, 2026, needs more optimization.
11 993 0.566252587979 Henry Cohn, 2026, needs more optimization.
11 994 0.566810576828 Henry Cohn, 2026, needs more optimization.
11 995 0.567181609695 Henry Cohn, 2026, needs more optimization.
11 996 0.567460889401 Henry Cohn, 2026, needs more optimization.
11 997 0.568100201065 Henry Cohn, 2026, needs more optimization.
11 998 0.568476231167 Henry Cohn, 2026, needs more optimization.
11 999 0.568881009467 Henry Cohn, 2026, needs more optimization.
11 1000 0.569161413130 Henry Cohn, 2026, needs more optimization.
11 1001 0.569397508633 Henry Cohn, 2026, needs more optimization.
11 1002 0.569654025771 Henry Cohn, 2026, needs more optimization.
11 1003 0.569918198383 Henry Cohn, 2026, needs more optimization.
11 1004 0.570128530042 Henry Cohn, 2026, needs more optimization.
11 1005 0.570308007155 Henry Cohn, 2026, needs more optimization.
11 1006 0.570517564108 Henry Cohn, 2026, needs more optimization.
11 1007 0.570665402578 Henry Cohn, 2026, needs more optimization.
11 1008 0.570820122292 Henry Cohn, 2026, needs more optimization.
11 1009 0.570952864077 Henry Cohn, 2026, needs more optimization.
11 1010 0.571094063719 Henry Cohn, 2026, needs more optimization.
11 1011 0.571333253366 Henry Cohn, 2026, needs more optimization.
11 1012 0.571466671778 Henry Cohn, 2026, needs more optimization.
11 1013 0.571646781088 Henry Cohn, 2026, needs more optimization.
11 1014 0.571837270791 Henry Cohn, 2026, needs more optimization.
11 1015 0.571965841147 Henry Cohn, 2026, needs more optimization.
11 1016 0.572092650727 Henry Cohn, 2026, needs more optimization.
11 1017 0.572209848246 Henry Cohn, 2026, needs more optimization.
11 1018 0.572377280636 Henry Cohn, 2026, needs more optimization.
11 1019 0.572506577941 Henry Cohn, 2026, needs more optimization.
11 1020 0.572616203004 Henry Cohn, 2026, needs more optimization.
11 1021 0.572682298905 Henry Cohn, 2026, needs more optimization.
11 1022 0.572815585639 Henry Cohn, 2026, needs more optimization.
11 1023 0.572931879202 Henry Cohn, 2026, needs more optimization.
11 1024 0.573050364270 Henry Cohn, 2026, needs more optimization.
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 0.187397967438 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 54 0.189746662791 Henry Cohn, 2024.
12 55 0.193319611131 Henry Cohn, 2025.
12 60 0.193457871625 Henry Cohn, 2026.
3088⁢x4−1184⁢x3−120⁢x2+40⁢x+1
12 61 0.196565668411 Henry Cohn, 2026.
12 62 0.197162933815 Henry Cohn, 2026.
24⁢x3+92⁢x2−14⁢x−1
12 63 0.207401048725 Henry Cohn, 2026.
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 0.215062486432 Henry Cohn, 2026.
12 67 0.215314925312 Henry Cohn, 2026.
12 68 0.220678061412 Henry Cohn, 2026.
12 69 0.225477905474 Henry Cohn, 2026.
12 70 0.228644479119 Henry Cohn, 2026, needs more optimization.
12 71 0.230598825166 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 72 0.231870365502 Henry Cohn, 2026.
12 73 0.232385941975 Henry Cohn, 2026, needs more optimization.
12 74 0.233368389618 Henry Cohn, 2026, needs more optimization.
12 75 0.236110825183 Henry Cohn, 2026, needs more optimization.
12 76 0.236987305886 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 77 0.237968057446 Henry Cohn, 2025.
12 78 0.239700240785 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 79 0.241071143297 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.243291248047 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 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 0.250930942836 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 92 0.260985425422 Henry Cohn, 2026.
12 93 0.263892498486 Henry Cohn, 2026, needs more optimization.
12 94 0.264705823568 Henry Cohn, 2026, needs more optimization.
12 95 0.265090859018 Henry Cohn, 2026, needs more optimization.
12 96 0.265464666410 Henry Cohn, 2026.
12 97 0.266039917679 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 98 0.266358005980 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 99 0.266734238040 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 100 0.266965842017 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 101 0.267161491335 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 102 0.267190937318 Henry Cohn, 2026, needs more optimization.
12 103 0.269103247691 Henry Cohn, 2026, needs more optimization.
12 104 0.271255853767 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.
12 107 0.273390907845 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 108 0.276802062917 Henry Cohn, 2026, needs more optimization.
12 109 0.277600841778 Henry Cohn, 2026, needs more optimization.
12 110 0.277964024387 Henry Cohn, 2026, needs more optimization.
12 111 0.278766142608 Henry Cohn, 2026, needs more optimization.
12 112 0.279481356813 Henry Cohn, 2026, needs more optimization.
12 113 0.281954415798 Henry Cohn, 2026, needs more optimization.
12 114 0.291010194180 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 115 0.291591110719 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 116 0.292387833652 Henry Cohn, 2026, needs more optimization.
12 117 0.292985837664 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.293570027384 Henry Cohn, 2026, needs more optimization.
12 119 0.294623076031 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.294708984704 Henry Cohn, 2026, needs more optimization.
12 122 0.304154035091 Henry Cohn, 2026, needs more optimization.
12 123 0.305690147796 Henry Cohn, 2026, needs more optimization.
12 124 0.305733445727 Henry Cohn, 2026, needs more optimization.
12 125 0.305882748144 Henry Cohn, 2026, needs more optimization.
12 126 0.306127020432 Henry Cohn, 2026, needs more optimization.
12 127 0.306791570851 Henry Cohn, 2026, needs more optimization.
12 128 0.308118071254 Henry Cohn, 2026, needs more optimization.
12 129 0.309036133414 Henry Cohn, 2026, needs more optimization.
12 130 0.309511014600 Henry Cohn, 2026, needs more optimization.
12 131 0.309520547091 Henry Cohn, 2026, needs more optimization.
12 132 0.309837050243 Henry Cohn, 2026, needs more optimization.
12 133 0.310041371976 Henry Cohn, 2026, needs more optimization.
12 134 0.311212709685 Henry Cohn, 2026, needs more optimization.
12 135 0.312205898275 Henry Cohn, 2026, needs more optimization.
12 136 0.313692305459 Henry Cohn, 2026, needs more optimization.
12 137 0.315189309444 Henry Cohn, 2026, needs more optimization.
12 138 0.317847778821 Henry Cohn, 2026, needs more optimization.
12 139 0.319376149092 Henry Cohn, 2026, needs more optimization.
12 140 0.321956938836 Henry Cohn, 2026, needs more optimization.
12 141 0.322140589045 Henry Cohn, 2026, needs more optimization.
12 142 0.322581582638 Henry Cohn, 2026, needs more optimization.
12 143 0.322766486722 Henry Cohn, 2026, needs more optimization.
12 144 0.322990948981 Henry Cohn, 2026, needs more optimization.
12 145 0.323462569763 Henry Cohn, 2026, needs more optimization.
12 146 0.323969457319 Henry Cohn, 2026, needs more optimization.
12 147 0.324386499416 Henry Cohn, 2026, needs more optimization.
12 148 0.324846165084 Henry Cohn, 2026, needs more optimization.
12 149 0.325299929334 Henry Cohn, 2026, needs more optimization.
12 150 0.325717782633 Henry Cohn, 2026, needs more optimization.
12 151 0.325844889920 Henry Cohn, 2026, needs more optimization.
12 152 0.327224221676 Henry Cohn, 2026, needs more optimization.
12 153 0.327922597132 Henry Cohn, 2026, needs more optimization.
12 154 0.328448036299 Henry Cohn, 2026, needs more optimization.
12 155 0.329054209436 Henry Cohn, 2026, needs more optimization.
12 156 0.329427682915 Henry Cohn, 2026, needs more optimization.
12 157 0.329848058901 Henry Cohn, 2026, needs more optimization.
12 158 0.329987923234 Henry Cohn, 2026, needs more optimization.
12 159 0.329987923235 Henry Cohn, 2026, needs more optimization.
12 160 0.329989755326 Henry Cohn, 2026, needs more optimization.
12 161 0.329992838970 Henry Cohn, 2026, needs more optimization.
12 162 0.330014067133 Henry Cohn, 2026, needs more optimization.
12 163 0.331514886604 Henry Cohn, 2026, needs more optimization.
12 164 0.331670344873 Henry Cohn, 2026, needs more optimization.
12 165 0.332035240416 Henry Cohn, 2026, needs more optimization.
12 166 0.332621773053 Henry Cohn, 2026, needs more optimization.
12 167 0.332810839209 Henry Cohn, 2026, needs more optimization.
12 168 0.332822926315 Henry Cohn, 2026, needs more optimization.
12 169 0.332924539816 Henry Cohn, 2026, needs more optimization.
12 170 0.332992730740 Henry Cohn, 2026, needs more optimization.
12 171 0.333035218755 Henry Cohn, 2026, needs more optimization.
12 172 0.333059090736 Henry Cohn, 2026, needs more optimization.
12 173 0.333103333611 Henry Cohn, 2026, needs more optimization.
12 174 0.333152774901 Henry Cohn, 2026, needs more optimization.
12 175 0.333163020982 Henry Cohn, 2026, needs more optimization.
12 176 0.333191970881 Henry Cohn, 2026, needs more optimization.
12 177 0.333209854132 Henry Cohn, 2026, needs more optimization.
12 178 0.333243186121 Henry Cohn, 2026, needs more optimization.
12 179 0.333356521056 Henry Cohn, 2026, needs more optimization.
12 180 0.336128253162 Henry Cohn, 2026, needs more optimization.
12 181 0.344219325896 Henry Cohn, 2026, needs more optimization.
12 182 0.345965832585 Henry Cohn, 2026, needs more optimization.
12 183 0.349198701794 Henry Cohn, 2026, needs more optimization.
12 184 0.351085393255 Henry Cohn, 2026, needs more optimization.
12 185 0.352293881434 Henry Cohn, 2026, needs more optimization.
12 186 0.353340074166 Henry Cohn, 2026, needs more optimization.
12 187 0.353804004535 Henry Cohn, 2026, needs more optimization.
12 188 0.354976510337 Henry Cohn, 2026, needs more optimization.
12 189 0.355529605097 Henry Cohn, 2026, needs more optimization.
12 190 0.356435645396 Henry Cohn, 2026, needs more optimization.
12 191 0.356885877505 Henry Cohn, 2026, needs more optimization.
12 192 0.358549655340 Henry Cohn, 2026, needs more optimization.
12 193 0.359252584706 Henry Cohn, 2026, needs more optimization.
12 194 0.360830896579 Henry Cohn, 2026, needs more optimization.
12 195 0.361980775976 Henry Cohn, 2026, needs more optimization.
12 196 0.364032538083 Henry Cohn, 2026, needs more optimization.
12 197 0.365604920757 Henry Cohn, 2026, needs more optimization.
12 198 0.366069197214 Henry Cohn, 2026, needs more optimization.
12 199 0.366811322309 Henry Cohn, 2026, needs more optimization.
12 200 0.367145214605 Henry Cohn, 2026, needs more optimization.
12 201 0.368799336986 Henry Cohn, 2026, needs more optimization.
12 202 0.369137514157 Henry Cohn, 2026, needs more optimization.
12 203 0.370088276742 Henry Cohn, 2026, needs more optimization.
12 204 0.370844987847 Henry Cohn, 2026, needs more optimization.
12 205 0.372178670723 Henry Cohn, 2026, needs more optimization.
12 206 0.373158898081 Henry Cohn, 2026, needs more optimization.
12 207 0.374099253803 Henry Cohn, 2026, needs more optimization.
12 208 0.374454067956 Henry Cohn, 2026, needs more optimization.
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 0.378110369185 Henry Cohn, 2026, needs more optimization.
12 212 0.381048025013 Henry Cohn, 2026, needs more optimization.
12 213 0.381708549798 Henry Cohn, 2026, needs more optimization.
12 214 0.381834623739 Henry Cohn, 2026, needs more optimization.
12 215 0.382368969518 Henry Cohn, 2026, needs more optimization.
12 216 0.383222669316 Henry Cohn, 2026, needs more optimization.
12 217 0.384015682686 Henry Cohn, 2026, needs more optimization.
12 218 0.385468741110 Henry Cohn, 2026, needs more optimization.
12 219 0.386486839898 Henry Cohn, 2026, needs more optimization.
12 220 0.387209620486 Henry Cohn, 2026, needs more optimization.
12 221 0.387726124866 Henry Cohn, 2026, needs more optimization.
12 222 0.388336477885 Henry Cohn, 2026, needs more optimization.
12 223 0.388792927121 Henry Cohn, 2026, needs more optimization.
12 224 0.389228366567 Henry Cohn, 2026, needs more optimization.
12 225 0.390197045160 Henry Cohn, 2026, needs more optimization.
12 226 0.390644042072 Henry Cohn, 2026, needs more optimization.
12 227 0.391274459746 Henry Cohn, 2026, needs more optimization.
12 228 0.391364466181 Henry Cohn, 2026, needs more optimization.
12 229 0.392250100237 Henry Cohn, 2026, needs more optimization.
12 230 0.392397280130 Henry Cohn, 2026, needs more optimization.
12 231 0.392516909793 Henry Cohn, 2026, needs more optimization.
12 232 0.392932859899 Henry Cohn, 2026, needs more optimization.
12 233 0.393436618407 Henry Cohn, 2026, needs more optimization.
12 234 0.393511842776 Henry Cohn, 2026, needs more optimization.
12 235 0.393953048661 Henry Cohn, 2026, needs more optimization.
12 236 0.394070865653 Henry Cohn, 2026, needs more optimization.
12 237 0.396282844389 Henry Cohn, 2026, needs more optimization.
12 238 0.396534535231 Henry Cohn, 2026, needs more optimization.
12 239 0.397316783219 Henry Cohn, 2026, needs more optimization.
12 240 0.398276890192 Henry Cohn, 2026, needs more optimization.
12 241 0.399380901557 Henry Cohn, 2026, needs more optimization.
12 244 0.399724492079 Henry Cohn, 2026, needs more optimization.
12 245 0.399920804176 Henry Cohn, 2026, needs more optimization.
12 246 0.399950584716 Henry Cohn, 2026, needs more optimization.
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 0.401758592621 Henry Cohn, 2026, needs more optimization.
12 292 0.406635382898 Henry Cohn, 2026, needs more optimization.
12 293 0.409432917562 Henry Cohn, 2026, needs more optimization.
12 294 0.410769716005 Henry Cohn, 2026, needs more optimization.
12 295 0.412737082433 Henry Cohn, 2026, needs more optimization.
12 296 0.414337714566 Henry Cohn, 2026, needs more optimization.
12 297 0.415443914276 Henry Cohn, 2026, needs more optimization.
12 298 0.417385969629 Henry Cohn, 2026, needs more optimization.
12 299 0.418806569138 Henry Cohn, 2026, needs more optimization.
12 300 0.419879782130 Henry Cohn, 2026, needs more optimization.
12 301 0.420851199798 Henry Cohn, 2026, needs more optimization.
12 302 0.422041463587 Henry Cohn, 2026, needs more optimization.
12 303 0.423129583365 Henry Cohn, 2026, needs more optimization.
12 304 0.424129826702 Henry Cohn, 2026, needs more optimization.
12 305 0.425043738225 Henry Cohn, 2026, needs more optimization.
12 306 0.426459458118 Henry Cohn, 2026, needs more optimization.
12 307 0.427429967273 Henry Cohn, 2026, needs more optimization.
12 308 0.428242664804 Henry Cohn, 2026, needs more optimization.
12 309 0.428257019105 Henry Cohn, 2026, needs more optimization.
12 310 0.429264613427 Henry Cohn, 2026, needs more optimization.
12 311 0.430190534390 Henry Cohn, 2026, needs more optimization.
12 312 0.430802602327 Henry Cohn, 2026, needs more optimization.
12 313 0.431232308982 Henry Cohn, 2026, needs more optimization.
12 314 0.431690679887 Henry Cohn, 2026, needs more optimization.
12 315 0.432278889290 Henry Cohn, 2026, needs more optimization.
12 316 0.432670837650 Henry Cohn, 2026, needs more optimization.
12 317 0.433098636748 Henry Cohn, 2026, needs more optimization.
12 318 0.433199260136 Henry Cohn, 2026, needs more optimization.
12 319 0.433583886239 Henry Cohn, 2026, needs more optimization.
12 320 0.434116782586 Henry Cohn, 2026, needs more optimization.
12 321 0.434709086192 Henry Cohn, 2026, needs more optimization.
12 322 0.435139993342 Henry Cohn, 2026, needs more optimization.
12 323 0.435620195791 Henry Cohn, 2026, needs more optimization.
12 324 0.436053130494 Henry Cohn, 2026, needs more optimization.
12 325 0.436587525176 Henry Cohn, 2026, needs more optimization.
12 326 0.436996734719 Henry Cohn, 2026, needs more optimization.
12 327 0.437250061006 Henry Cohn, 2026, needs more optimization.
12 328 0.437697068370 Henry Cohn, 2026, needs more optimization.
12 329 0.438005265311 Henry Cohn, 2026, needs more optimization.
12 330 0.438270807813 Henry Cohn, 2026, needs more optimization.
12 331 0.438838713957 Henry Cohn, 2026, needs more optimization.
12 332 0.439087540910 Henry Cohn, 2026, needs more optimization.
12 333 0.439254048145 Henry Cohn, 2026, needs more optimization.
12 334 0.439893739621 Henry Cohn, 2026, needs more optimization.
12 335 0.439960753674 Henry Cohn, 2026, needs more optimization.
12 336 0.440314839971 Henry Cohn, 2026, needs more optimization.
12 337 0.440878556294 Henry Cohn, 2026, needs more optimization.
12 338 0.441019017762 Henry Cohn, 2026, needs more optimization.
12 339 0.441430240086 Henry Cohn, 2026, needs more optimization.
12 340 0.441608874205 Henry Cohn, 2026, needs more optimization.
12 341 0.441955975159 Henry Cohn, 2026, needs more optimization.
12 342 0.442146827739 Henry Cohn, 2026, needs more optimization.
12 343 0.442299872978 Henry Cohn, 2026, needs more optimization.
12 344 0.442542514602 Henry Cohn, 2026, needs more optimization.
12 345 0.443077132228 Henry Cohn, 2026, needs more optimization.
12 346 0.443629800900 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 0.447146015938 Henry Cohn, 2026, needs more optimization.
12 410 0.447928290375 Henry Cohn, 2026, needs more optimization.
12 411 0.448616526098 Henry Cohn, 2026, needs more optimization.
12 412 0.449179933300 Henry Cohn, 2026, needs more optimization.
12 413 0.450248319739 Henry Cohn, 2026, needs more optimization.
12 414 0.450743226192 Henry Cohn, 2026, needs more optimization.
12 415 0.450783734383 Henry Cohn, 2026, needs more optimization.
12 416 0.451180057096 Henry Cohn, 2026, needs more optimization.
12 417 0.451397534429 Henry Cohn, 2026, needs more optimization.
12 418 0.451497080476 Henry Cohn, 2026, needs more optimization.
12 419 0.451846850110 Henry Cohn, 2026, needs more optimization.
12 420 0.452184525253 Henry Cohn, 2026, needs more optimization.
12 421 0.452260863753 Henry Cohn, 2026, needs more optimization.
12 422 0.452320355071 Henry Cohn, 2026, needs more optimization.
12 423 0.452515172912 Henry Cohn, 2026, needs more optimization.
12 424 0.456879635605 Henry Cohn, 2026, needs more optimization.
12 425 0.457289777782 Henry Cohn, 2026, needs more optimization.
12 426 0.458835880180 Henry Cohn, 2026, needs more optimization.
12 427 0.461111043696 Henry Cohn, 2026, needs more optimization.
12 428 0.461123020448 Henry Cohn, 2026, needs more optimization.
12 429 0.462345732347 Henry Cohn, 2026, needs more optimization.
12 430 0.462962160024 Henry Cohn, 2026, needs more optimization.
12 431 0.462985074993 Henry Cohn, 2026, needs more optimization.
12 432 0.463014793827 Henry Cohn, 2026, needs more optimization.
12 433 0.463826380168 Henry Cohn, 2026, needs more optimization.
12 434 0.463956227465 Henry Cohn, 2026, needs more optimization.
12 435 0.464569505255 Henry Cohn, 2026, needs more optimization.
12 436 0.464678177956 Henry Cohn, 2026, needs more optimization.
12 437 0.465608396033 Henry Cohn, 2026, needs more optimization.
12 438 0.466370656494 Henry Cohn, 2026, needs more optimization.
12 439 0.466427321243 Henry Cohn, 2026, needs more optimization.
12 440 0.466711882808 Henry Cohn, 2026, needs more optimization.
12 441 0.466762047904 Henry Cohn, 2026, needs more optimization.
12 442 0.466838476708 Henry Cohn, 2026, needs more optimization.
12 443 0.466845481051 Henry Cohn, 2026, needs more optimization.
12 444 0.466855061306 Henry Cohn, 2026, needs more optimization.
12 445 0.467543173636 Henry Cohn, 2026, needs more optimization.
12 446 0.467612091203 Henry Cohn, 2026, needs more optimization.
12 447 0.467995303880 Henry Cohn, 2026, needs more optimization.
12 448 0.467996323527 Henry Cohn, 2026, needs more optimization.
12 449 0.468568386725 Henry Cohn, 2026, needs more optimization.
12 450 0.468641735373 Henry Cohn, 2026, needs more optimization.
12 451 0.468800484007 Henry Cohn, 2026, needs more optimization.
12 453 0.468863544068 Henry Cohn, 2026, needs more optimization.
12 454 0.469272000672 Henry Cohn, 2026, needs more optimization.
12 455 0.469304338568 Henry Cohn, 2026, needs more optimization.
12 456 0.469340422137 Henry Cohn, 2026, needs more optimization.
12 457 0.469620782686 Henry Cohn, 2026, needs more optimization.
12 458 0.470051227571 Henry Cohn, 2026, needs more optimization.
12 459 0.470168553349 Henry Cohn, 2026, needs more optimization.
12 460 0.470324138491 Henry Cohn, 2026, needs more optimization.
12 461 0.470491245164 Henry Cohn, 2026, needs more optimization.
12 462 0.470520938430 Henry Cohn, 2026, needs more optimization.
12 463 0.470803766330 Henry Cohn, 2026, needs more optimization.
12 464 0.471198656647 Henry Cohn, 2026, needs more optimization.
12 465 0.471399891306 Henry Cohn, 2026, needs more optimization.
12 466 0.471666220907 Henry Cohn, 2026, needs more optimization.
12 467 0.472169006131 Henry Cohn, 2026, needs more optimization.
12 468 0.472358168255 Henry Cohn, 2026, needs more optimization.
12 469 0.472505870403 Henry Cohn, 2026, needs more optimization.
12 470 0.472560844661 Henry Cohn, 2026, needs more optimization.
12 471 0.472636249004 Henry Cohn, 2026, needs more optimization.
12 472 0.472847854480 Henry Cohn, 2026, needs more optimization.
12 473 0.472966538176 Henry Cohn, 2026, needs more optimization.
12 474 0.473188180131 Henry Cohn, 2026, needs more optimization.
12 476 0.473235330807 Henry Cohn, 2026, needs more optimization.
12 477 0.473329581311 Henry Cohn, 2026, needs more optimization.
12 478 0.473669431329 Henry Cohn, 2026, needs more optimization.
12 479 0.473692971736 Henry Cohn, 2026, needs more optimization.
12 481 0.474046627073 Henry Cohn, 2026, needs more optimization.
12 482 0.474360121852 Henry Cohn, 2026, needs more optimization.
12 483 0.474366288982 Henry Cohn, 2026, needs more optimization.
12 484 0.474695416396 Henry Cohn, 2026, needs more optimization.
12 485 0.474977270097 Henry Cohn, 2026, needs more optimization.
12 486 0.475067422623 Henry Cohn, 2026, needs more optimization.
12 487 0.475195809998 Henry Cohn, 2026, needs more optimization.
12 488 0.475299563164 Henry Cohn, 2026, needs more optimization.
12 489 0.475996645090 Henry Cohn, 2026, needs more optimization.
12 490 0.476037653884 Henry Cohn, 2026, needs more optimization.
12 491 0.476144442152 Henry Cohn, 2026, needs more optimization.
12 492 0.476253771100 Henry Cohn, 2026, needs more optimization.
12 493 0.476399263513 Henry Cohn, 2026, needs more optimization.
12 494 0.476565830925 Henry Cohn, 2026, needs more optimization.
12 495 0.476725990546 Henry Cohn, 2026, needs more optimization.
12 496 0.476766800805 Henry Cohn, 2026, needs more optimization.
12 497 0.476958257496 Henry Cohn, 2026, needs more optimization.
12 498 0.476991253224 Henry Cohn, 2026, needs more optimization.
12 499 0.477043230765 Henry Cohn, 2026, needs more optimization.
12 500 0.477526871820 Henry Cohn, 2026, needs more optimization.
12 501 0.477591085197 Henry Cohn, 2026, needs more optimization.
12 502 0.477717930330 Henry Cohn, 2026, needs more optimization.
12 503 0.477833772088 Henry Cohn, 2026, needs more optimization.
12 504 0.478182081661 Henry Cohn, 2026, needs more optimization.
12 505 0.478490843577 Henry Cohn, 2026, needs more optimization.
12 506 0.478498215189 Henry Cohn, 2026, needs more optimization.
12 507 0.478812993875 Henry Cohn, 2026, needs more optimization.
12 508 0.478905008319 Henry Cohn, 2026, needs more optimization.
12 509 0.479116475469 Henry Cohn, 2026, needs more optimization.
12 511 0.479170930101 Henry Cohn, 2026, needs more optimization.
12 512 0.479553731780 Henry Cohn, 2026, needs more optimization.
12 513 0.479742521032 Henry Cohn, 2026, needs more optimization.
12 514 0.479801305734 Henry Cohn, 2026, needs more optimization.
12 515 0.479991179619 Henry Cohn, 2026, needs more optimization.
12 516 0.480019270565 Henry Cohn, 2026, needs more optimization.
12 517 0.480207698270 Henry Cohn, 2026, needs more optimization.
12 518 0.480239301000 Henry Cohn, 2026, needs more optimization.
12 519 0.480586414314 Henry Cohn, 2026, needs more optimization.
12 520 0.480608479082 Henry Cohn, 2026, needs more optimization.
12 521 0.481159064491 Henry Cohn, 2026, needs more optimization.
12 522 0.481231740810 Henry Cohn, 2026, needs more optimization.
12 523 0.481375332915 Henry Cohn, 2026, needs more optimization.
12 524 0.481447961569 Henry Cohn, 2026, needs more optimization.
12 525 0.481620374297 Henry Cohn, 2026, needs more optimization.
12 526 0.481798488643 Henry Cohn, 2026, needs more optimization.
12 527 0.481890816377 Henry Cohn, 2026, needs more optimization.
12 528 0.482018193284 Henry Cohn, 2026, needs more optimization.
12 529 0.482194967821 Henry Cohn, 2026, needs more optimization.
12 530 0.482381717121 Henry Cohn, 2026, needs more optimization.
12 531 0.482447237214 Henry Cohn, 2026, needs more optimization.
12 532 0.482586963274 Henry Cohn, 2026, needs more optimization.
12 533 0.482719069999 Henry Cohn, 2026, needs more optimization.
12 534 0.482789003741 Henry Cohn, 2026, needs more optimization.
12 535 0.482946008423 Henry Cohn, 2026, needs more optimization.
12 536 0.483065331570 Henry Cohn, 2026, needs more optimization.
12 537 0.483115184973 Henry Cohn, 2026, needs more optimization.
12 538 0.483236253412 Henry Cohn, 2026, needs more optimization.
12 539 0.483411190814 Henry Cohn, 2026, needs more optimization.
12 540 0.483464262310 Henry Cohn, 2026, needs more optimization.
12 541 0.483520483078 Henry Cohn, 2026, needs more optimization.
12 542 0.483671630706 Henry Cohn, 2026, needs more optimization.
12 543 0.483817122639 Henry Cohn, 2026, needs more optimization.
12 544 0.483908497199 Henry Cohn, 2026, needs more optimization.
12 545 0.483972030768 Henry Cohn, 2026, needs more optimization.
12 546 0.484078988109 Henry Cohn, 2026, needs more optimization.
12 547 0.484362088650 Henry Cohn, 2026, needs more optimization.
12 548 0.484611741738 Henry Cohn, 2026, needs more optimization.
12 549 0.484872270769 Henry Cohn, 2026, needs more optimization.
12 550 0.485007503998 Henry Cohn, 2026, needs more optimization.
12 551 0.485187256718 Henry Cohn, 2026, needs more optimization.
12 552 0.485337890393 Henry Cohn, 2026, needs more optimization.
12 553 0.485388390551 Henry Cohn, 2026, needs more optimization.
12 554 0.485607233926 Henry Cohn, 2026, needs more optimization.
12 555 0.485678810207 Henry Cohn, 2026, needs more optimization.
12 556 0.485729847636 Henry Cohn, 2026, needs more optimization.
12 557 0.485839372784 Henry Cohn, 2026, needs more optimization.
12 558 0.485949813032 Henry Cohn, 2026, needs more optimization.
12 559 0.486110817692 Henry Cohn, 2026, needs more optimization.
12 560 0.486199451787 Henry Cohn, 2026, needs more optimization.
12 561 0.486298970400 Henry Cohn, 2026, needs more optimization.
12 562 0.486337941893 Henry Cohn, 2026, needs more optimization.
12 563 0.486531369889 Henry Cohn, 2026, needs more optimization.
12 564 0.486600315003 Henry Cohn, 2026, needs more optimization.
12 565 0.486698311450 Henry Cohn, 2026, needs more optimization.
12 566 0.486758775084 Henry Cohn, 2026, needs more optimization.
12 567 0.486804466442 Henry Cohn, 2026, needs more optimization.
12 568 0.487007519999 Henry Cohn, 2026, needs more optimization.
12 569 0.487118549562 Henry Cohn, 2026, needs more optimization.
12 570 0.487267986186 Henry Cohn, 2026, needs more optimization.
12 571 0.487402141342 Henry Cohn, 2026, needs more optimization.
12 572 0.487514725632 Henry Cohn, 2026, needs more optimization.
12 573 0.487573775353 Henry Cohn, 2026, needs more optimization.
12 574 0.487656947531 Henry Cohn, 2026, needs more optimization.
12 575 0.487727967154 Henry Cohn, 2026, needs more optimization.
12 576 0.487768913013 Henry Cohn, 2026, needs more optimization.
12 577 0.487985091720 Henry Cohn, 2026, needs more optimization.
12 578 0.488204994352 Henry Cohn, 2026, needs more optimization.
12 579 0.488288484473 Henry Cohn, 2026, needs more optimization.
12 580 0.488316676997 Henry Cohn, 2026, needs more optimization.
12 581 0.488370128016 Henry Cohn, 2026, needs more optimization.
12 582 0.488413152778 Henry Cohn, 2026, needs more optimization.
12 583 0.488431156672 Henry Cohn, 2026, needs more optimization.
12 584 0.488484624000 Henry Cohn, 2026, needs more optimization.
12 585 0.488639492117 Henry Cohn, 2026, needs more optimization.
12 586 0.488708054574 Henry Cohn, 2026, needs more optimization.
12 587 0.488763899782 Henry Cohn, 2026, needs more optimization.
12 588 0.488904639029 Henry Cohn, 2026, needs more optimization.
12 589 0.488978975365 Henry Cohn, 2026, needs more optimization.
12 590 0.489110232023 Henry Cohn, 2026, needs more optimization.
12 591 0.489166947055 Henry Cohn, 2026, needs more optimization.
12 592 0.489225221804 Henry Cohn, 2026, needs more optimization.
12 593 0.489339827123 Henry Cohn, 2026, needs more optimization.
12 594 0.489393678091 Henry Cohn, 2026, needs more optimization.
12 595 0.489557633391 Henry Cohn, 2026, needs more optimization.
12 596 0.489564938037 Henry Cohn, 2026, needs more optimization.
12 597 0.489579100810 Henry Cohn, 2026, needs more optimization.
12 598 0.489697674591 Henry Cohn, 2026, needs more optimization.
12 599 0.489785285248 Henry Cohn, 2026, needs more optimization.
12 600 0.489787891157 Henry Cohn, 2026, needs more optimization.
12 601 0.489909387395 Henry Cohn, 2026, needs more optimization.
12 602 0.489974917438 Henry Cohn, 2026, needs more optimization.
12 603 0.490120386135 Henry Cohn, 2026, needs more optimization.
12 604 0.490212004086 Henry Cohn, 2026, needs more optimization.
12 605 0.490299928497 Henry Cohn, 2026, needs more optimization.
12 606 0.490362503782 Henry Cohn, 2026, needs more optimization.
12 607 0.490505585051 Henry Cohn, 2026, needs more optimization.
12 608 0.490535958158 Henry Cohn, 2026, needs more optimization.
12 609 0.490554476686 Henry Cohn, 2026, needs more optimization.
12 610 0.490614730580 Henry Cohn, 2026, needs more optimization.
12 611 0.490716022955 Henry Cohn, 2026, needs more optimization.
12 612 0.490731056956 Henry Cohn, 2026, needs more optimization.
12 613 0.490916849123 Henry Cohn, 2026, needs more optimization.
12 614 0.490967743678 Henry Cohn, 2026, needs more optimization.
12 615 0.491033537970 Henry Cohn, 2026, needs more optimization.
12 616 0.491222878371 Henry Cohn, 2026, needs more optimization.
12 617 0.491352618795 Henry Cohn, 2026, needs more optimization.
12 618 0.491425749805 Henry Cohn, 2026, needs more optimization.
12 619 0.491454661823 Henry Cohn, 2026, needs more optimization.
12 620 0.491600008926 Henry Cohn, 2026, needs more optimization.
12 621 0.491664341545 Henry Cohn, 2026, needs more optimization.
12 622 0.491730409852 Henry Cohn, 2026, needs more optimization.
12 623 0.491771830385 Henry Cohn, 2026, needs more optimization.
12 624 0.491831341796 Henry Cohn, 2026, needs more optimization.
12 625 0.491867594409 Henry Cohn, 2026, needs more optimization.
12 626 0.491937597230 Henry Cohn, 2026, needs more optimization.
12 627 0.491972257575 Henry Cohn, 2026, needs more optimization.
12 628 0.492051409330 Henry Cohn, 2026, needs more optimization.
12 629 0.492080561257 Henry Cohn, 2026, needs more optimization.
12 630 0.492107386040 Henry Cohn, 2026, needs more optimization.
12 631 0.492185622339 Henry Cohn, 2026, needs more optimization.
12 632 0.492308271627 Henry Cohn, 2026, needs more optimization.
12 633 0.492394636611 Henry Cohn, 2026, needs more optimization.
12 634 0.492411521749 Henry Cohn, 2026, needs more optimization.
12 635 0.492483559514 Henry Cohn, 2026, needs more optimization.
12 636 0.492570113757 Henry Cohn, 2026, needs more optimization.
12 637 0.492625139301 Henry Cohn, 2026, needs more optimization.
12 638 0.492711241539 Henry Cohn, 2026, needs more optimization.
12 639 0.492759875557 Henry Cohn, 2026, needs more optimization.
12 640 0.492901150230 Henry Cohn, 2026, needs more optimization.
12 641 0.492997444304 Henry Cohn, 2026, needs more optimization.
12 642 0.493028378546 Henry Cohn, 2026, needs more optimization.
12 643 0.493117600976 Henry Cohn, 2026, needs more optimization.
12 644 0.493153787785 Henry Cohn, 2026, needs more optimization.
12 645 0.493171348574 Henry Cohn, 2026, needs more optimization.
12 646 0.493196087433 Henry Cohn, 2026, needs more optimization.
12 647 0.493207112702 Henry Cohn, 2026, needs more optimization.
12 648 0.493253532826 Henry Cohn, 2026, needs more optimization.
12 649 0.493337456747 Henry Cohn, 2026, needs more optimization.
12 650 0.493359968111 Henry Cohn, 2026, needs more optimization.
12 651 0.493419269873 Henry Cohn, 2026, needs more optimization.
12 652 0.493440886757 Henry Cohn, 2026, needs more optimization.
12 653 0.493478768045 Henry Cohn, 2026, needs more optimization.
12 654 0.493492433313 Henry Cohn, 2026, needs more optimization.
12 655 0.493606444403 Henry Cohn, 2026, needs more optimization.
12 656 0.493649761158 Henry Cohn, 2026, needs more optimization.
12 657 0.493652456707 Henry Cohn, 2026, needs more optimization.
12 658 0.493782232874 Henry Cohn, 2026, needs more optimization.
12 659 0.493825252419 Henry Cohn, 2026, needs more optimization.
12 660 0.493845439657 Henry Cohn, 2026, needs more optimization.
12 661 0.493900565311 Henry Cohn, 2026, needs more optimization.
12 662 0.493950565406 Henry Cohn, 2026, needs more optimization.
12 663 0.493994865960 Henry Cohn, 2026, needs more optimization.
12 664 0.494103199767 Henry Cohn, 2026, needs more optimization.
12 665 0.494258035006 Henry Cohn, 2026, needs more optimization.
12 666 0.494292527524 Henry Cohn, 2026, needs more optimization.
12 667 0.494337882423 Henry Cohn, 2026, needs more optimization.
12 668 0.494351938401 Henry Cohn, 2026, needs more optimization.
12 669 0.494410051263 Henry Cohn, 2026, needs more optimization.
12 670 0.494560764856 Henry Cohn, 2026, needs more optimization.
12 671 0.494581633495 Henry Cohn, 2026, needs more optimization.
12 672 0.494679733095 Henry Cohn, 2026, needs more optimization.
12 673 0.494683166049 Henry Cohn, 2026, needs more optimization.
12 674 0.494685638482 Henry Cohn, 2026, needs more optimization.
12 675 0.494709374665 Henry Cohn, 2026, needs more optimization.
12 676 0.494731279026 Henry Cohn, 2026, needs more optimization.
12 677 0.494741277739 Henry Cohn, 2026, needs more optimization.
12 678 0.494758567703 Henry Cohn, 2026, needs more optimization.
12 679 0.494839762011 Henry Cohn, 2026, needs more optimization.
12 680 0.494876087152 Henry Cohn, 2026, needs more optimization.
12 681 0.494916402508 Henry Cohn, 2026, needs more optimization.
12 682 0.495022906249 Henry Cohn, 2026, needs more optimization.
12 683 0.495096967881 Henry Cohn, 2026, needs more optimization.
12 684 0.495128982081 Henry Cohn, 2026, needs more optimization.
12 685 0.495139956600 Henry Cohn, 2026, needs more optimization.
12 686 0.495156540628 Henry Cohn, 2026, needs more optimization.
12 687 0.495175035821 Henry Cohn, 2026, needs more optimization.
12 688 0.495253837376 Henry Cohn, 2026, needs more optimization.
12 689 0.495336138385 Henry Cohn, 2026, needs more optimization.
12 690 0.495398353300 Henry Cohn, 2026, needs more optimization.
12 691 0.495448290626 Henry Cohn, 2026, needs more optimization.
12 692 0.495478811283 Henry Cohn, 2026, needs more optimization.
12 693 0.495559404102 Henry Cohn, 2026, needs more optimization.
12 694 0.495563460972 Henry Cohn, 2026, needs more optimization.
12 695 0.495589284713 Henry Cohn, 2026, needs more optimization.
12 696 0.495609822598 Henry Cohn, 2026, needs more optimization.
12 697 0.495681833074 Henry Cohn, 2026, needs more optimization.
12 698 0.495693911084 Henry Cohn, 2026, needs more optimization.
12 699 0.495774125280 Henry Cohn, 2026, needs more optimization.
12 700 0.495797475638 Henry Cohn, 2026, needs more optimization.
12 701 0.495806153133 Henry Cohn, 2026, needs more optimization.
12 702 0.495892980333 Henry Cohn, 2026, needs more optimization.
12 703 0.495899938155 Henry Cohn, 2026, needs more optimization.
12 704 0.495940194343 Henry Cohn, 2026, needs more optimization.
12 705 0.495977616435 Henry Cohn, 2026, needs more optimization.
12 706 0.496052869298 Henry Cohn, 2026, needs more optimization.
12 707 0.496069798725 Henry Cohn, 2026, needs more optimization.
12 708 0.496128067980 Henry Cohn, 2026, needs more optimization.
12 709 0.496179355996 Henry Cohn, 2026, needs more optimization.
12 710 0.496194598529 Henry Cohn, 2026, needs more optimization.
12 711 0.496222792830 Henry Cohn, 2026, needs more optimization.
12 712 0.496241843184 Henry Cohn, 2026, needs more optimization.
12 713 0.496341620684 Henry Cohn, 2026, needs more optimization.
12 714 0.496345700137 Henry Cohn, 2026, needs more optimization.
12 715 0.496348631440 Henry Cohn, 2026, needs more optimization.
12 716 0.496352428221 Henry Cohn, 2026, needs more optimization.
12 717 0.496368515505 Henry Cohn, 2026, needs more optimization.
12 718 0.496412563382 Henry Cohn, 2026, needs more optimization.
12 719 0.496417988822 Henry Cohn, 2026, needs more optimization.
12 720 0.496455131982 Henry Cohn, 2026, needs more optimization.
12 721 0.496503635356 Henry Cohn, 2026, needs more optimization.
12 722 0.496596759353 Henry Cohn, 2026, needs more optimization.
12 723 0.496625095702 Henry Cohn, 2026, needs more optimization.
12 724 0.496632926185 Henry Cohn, 2026, needs more optimization.
12 725 0.496675851197 Henry Cohn, 2026, needs more optimization.
12 726 0.496680977138 Henry Cohn, 2026, needs more optimization.
12 727 0.496688140209 Henry Cohn, 2026, needs more optimization.
12 728 0.496727719754 Henry Cohn, 2026, needs more optimization.
12 729 0.496740169138 Henry Cohn, 2026, needs more optimization.
12 730 0.496745854809 Henry Cohn, 2026, needs more optimization.
12 731 0.496753739626 Henry Cohn, 2026, needs more optimization.
12 732 0.496758936840 Henry Cohn, 2026, needs more optimization.
12 733 0.496804543110 Henry Cohn, 2026, needs more optimization.
12 734 0.496809106297 Henry Cohn, 2026, needs more optimization.
12 735 0.496831191874 Henry Cohn, 2026, needs more optimization.
12 736 0.496838109365 Henry Cohn, 2026, needs more optimization.
12 737 0.496840941326 Henry Cohn, 2026, needs more optimization.
12 738 0.496859170488 Henry Cohn, 2026, needs more optimization.
12 739 0.496864917401 Henry Cohn, 2026, needs more optimization.
12 740 0.496870251471 Henry Cohn, 2026, needs more optimization.
12 741 0.496872698426 Henry Cohn, 2026, needs more optimization.
12 742 0.496877205832 Henry Cohn, 2026, needs more optimization.
12 743 0.496884180687 Henry Cohn, 2026, needs more optimization.
12 744 0.496888078004 Henry Cohn, 2026, needs more optimization.
12 745 0.496904373124 Henry Cohn, 2026, needs more optimization.
12 746 0.496961893142 Henry Cohn, 2026, needs more optimization.
12 747 0.496992643775 Henry Cohn, 2026, needs more optimization.
12 748 0.497020336476 Henry Cohn, 2026, needs more optimization.
12 749 0.497027136717 Henry Cohn, 2026, needs more optimization.
12 750 0.497032444908 Henry Cohn, 2026, needs more optimization.
12 751 0.497040554368 Henry Cohn, 2026, needs more optimization.
12 752 0.497046456228 Henry Cohn, 2026, needs more optimization.
12 753 0.497054333480 Henry Cohn, 2026, needs more optimization.
12 754 0.497060982177 Henry Cohn, 2026, needs more optimization.
12 755 0.497064067136 Henry Cohn, 2026, needs more optimization.
12 756 0.497185595877 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, after some further optimization.
12 757 0.498399969682 Henry Cohn, 2026, needs more optimization.
12 840 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, 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
12 841 0.510613061257 Henry Cohn, 2026, needs more optimization.
12 842 0.514992239776 Henry Cohn, 2026, needs more optimization.
12 843 0.515288318813 Henry Cohn, 2026, needs more optimization.
12 844 0.516447586496 Henry Cohn, 2026, needs more optimization.
12 845 0.516670280490 Henry Cohn, 2026, needs more optimization.
12 846 0.516944832959 Henry Cohn, 2026, needs more optimization.
12 847 0.517296488677 Henry Cohn, 2026, needs more optimization.
12 848 0.517695834348 Henry Cohn, 2026, needs more optimization.
12 849 0.518031179391 Henry Cohn, 2026, needs more optimization.
12 850 0.518725091823 Henry Cohn, 2026, needs more optimization.
12 851 0.518978733804 Henry Cohn, 2026, needs more optimization.
12 852 0.519388914051 Henry Cohn, 2026, needs more optimization.
12 853 0.519709409998 Henry Cohn, 2026, needs more optimization.
12 854 0.520110442614 Henry Cohn, 2026, needs more optimization.
12 855 0.520372511858 Henry Cohn, 2026, needs more optimization.
12 856 0.520805291728 Henry Cohn, 2026, needs more optimization.
12 857 0.521087891299 Henry Cohn, 2026, needs more optimization.
12 858 0.521427788830 Henry Cohn, 2026, needs more optimization.
12 859 0.522001837978 Henry Cohn, 2026, needs more optimization.
12 860 0.522327903979 Henry Cohn, 2026, needs more optimization.
12 861 0.522629741145 Henry Cohn, 2026, needs more optimization.
12 862 0.522871635967 Henry Cohn, 2026, needs more optimization.
12 863 0.523071901596 Henry Cohn, 2026, needs more optimization.
12 864 0.523313944935 Henry Cohn, 2026, needs more optimization.
12 865 0.523726916037 Henry Cohn, 2026, needs more optimization.
12 866 0.524024186332 Henry Cohn, 2026, needs more optimization.
12 867 0.524209760904 Henry Cohn, 2026, needs more optimization.
12 868 0.524357498548 Henry Cohn, 2026, needs more optimization.
12 869 0.524662587497 Henry Cohn, 2026, needs more optimization.
12 870 0.524859449140 Henry Cohn, 2026, needs more optimization.
12 871 0.525060947757 Henry Cohn, 2026, needs more optimization.
12 872 0.525537021928 Henry Cohn, 2026, needs more optimization.
12 873 0.525803611316 Henry Cohn, 2026, needs more optimization.
12 874 0.526154045961 Henry Cohn, 2026, needs more optimization.
12 875 0.526357496964 Henry Cohn, 2026, needs more optimization.
12 876 0.526615173023 Henry Cohn, 2026, needs more optimization.
12 877 0.526863119823 Henry Cohn, 2026, needs more optimization.
12 878 0.527172106200 Henry Cohn, 2026, needs more optimization.
12 879 0.527398512420 Henry Cohn, 2026, needs more optimization.
12 880 0.527641306677 Henry Cohn, 2026, needs more optimization.
12 881 0.527878394204 Henry Cohn, 2026, needs more optimization.
12 882 0.528204570539 Henry Cohn, 2026, needs more optimization.
12 883 0.528438472435 Henry Cohn, 2026, needs more optimization.
12 884 0.528801581400 Henry Cohn, 2026, needs more optimization.
12 885 0.528995232937 Henry Cohn, 2026, needs more optimization.
12 886 0.529173054451 Henry Cohn, 2026, needs more optimization.
12 887 0.529468339148 Henry Cohn, 2026, needs more optimization.
12 888 0.529697748530 Henry Cohn, 2026, needs more optimization.
12 889 0.530278028106 Henry Cohn, 2026, needs more optimization.
12 890 0.530483150778 Henry Cohn, 2026, needs more optimization.
12 891 0.530624952086 Henry Cohn, 2026, needs more optimization.
12 892 0.530905244141 Henry Cohn, 2026, needs more optimization.
12 893 0.531094918176 Henry Cohn, 2026, needs more optimization.
12 894 0.531327911697 Henry Cohn, 2026, needs more optimization.
12 895 0.531661767557 Henry Cohn, 2026, needs more optimization.
12 896 0.531895428657 Henry Cohn, 2026, needs more optimization.
12 897 0.532181784434 Henry Cohn, 2026, needs more optimization.
12 898 0.532331014224 Henry Cohn, 2026, needs more optimization.
12 899 0.532521482619 Henry Cohn, 2026, needs more optimization.
12 900 0.532671271932 Henry Cohn, 2026, needs more optimization.
12 901 0.532827715653 Henry Cohn, 2026, needs more optimization.
12 902 0.533048035049 Henry Cohn, 2026, needs more optimization.
12 903 0.533227936960 Henry Cohn, 2026, needs more optimization.
12 904 0.533490012924 Henry Cohn, 2026, needs more optimization.
12 905 0.533702613689 Henry Cohn, 2026, needs more optimization.
12 906 0.533938557800 Henry Cohn, 2026, needs more optimization.
12 907 0.534095751519 Henry Cohn, 2026, needs more optimization.
12 908 0.534342725123 Henry Cohn, 2026, needs more optimization.
12 909 0.534473128359 Henry Cohn, 2026, needs more optimization.
12 910 0.534644911094 Henry Cohn, 2026, needs more optimization.
12 911 0.534860405675 Henry Cohn, 2026, needs more optimization.
12 912 0.535063043994 Henry Cohn, 2026, needs more optimization.
12 913 0.535265762017 Henry Cohn, 2026, needs more optimization.
12 914 0.535544034233 Henry Cohn, 2026, needs more optimization.
12 915 0.535863349804 Henry Cohn, 2026, needs more optimization.
12 916 0.536070110013 Henry Cohn, 2026, needs more optimization.
12 917 0.536221680026 Henry Cohn, 2026, needs more optimization.
12 918 0.536583646616 Henry Cohn, 2026, needs more optimization.
12 919 0.536815628065 Henry Cohn, 2026, needs more optimization.
12 920 0.537047814558 Henry Cohn, 2026, needs more optimization.
12 921 0.537183224697 Henry Cohn, 2026, needs more optimization.
12 922 0.537371675099 Henry Cohn, 2026, needs more optimization.
12 923 0.537568054181 Henry Cohn, 2026, needs more optimization.
12 924 0.537770200081 Henry Cohn, 2026, needs more optimization.
12 925 0.537849866196 Henry Cohn, 2026, needs more optimization.
12 926 0.538121260834 Henry Cohn, 2026, needs more optimization.
12 927 0.538226999817 Henry Cohn, 2026, needs more optimization.
12 928 0.538383549437 Henry Cohn, 2026, needs more optimization.
12 929 0.538575568919 Henry Cohn, 2026, needs more optimization.
12 930 0.538728277128 Henry Cohn, 2026, needs more optimization.
12 931 0.538984596993 Henry Cohn, 2026, needs more optimization.
12 932 0.539158036120 Henry Cohn, 2026, needs more optimization.
12 933 0.539347527229 Henry Cohn, 2026, needs more optimization.
12 934 0.539496102903 Henry Cohn, 2026, needs more optimization.
12 935 0.539709084231 Henry Cohn, 2026, needs more optimization.
12 936 0.539876911287 Henry Cohn, 2026, needs more optimization.
12 937 0.540092084140 Henry Cohn, 2026, needs more optimization.
12 938 0.540281290152 Henry Cohn, 2026, needs more optimization.
12 939 0.540501556264 Henry Cohn, 2026, needs more optimization.
12 940 0.540687517919 Henry Cohn, 2026, needs more optimization.
12 941 0.540916047836 Henry Cohn, 2026, needs more optimization.
12 942 0.541029498401 Henry Cohn, 2026, needs more optimization.
12 943 0.541139581402 Henry Cohn, 2026, needs more optimization.
12 944 0.541314840341 Henry Cohn, 2026, needs more optimization.
12 945 0.541539460100 Henry Cohn, 2026, needs more optimization.
12 946 0.541683365665 Henry Cohn, 2026, needs more optimization.
12 947 0.542009756856 Henry Cohn, 2026, needs more optimization.
12 948 0.542117570794 Henry Cohn, 2026, needs more optimization.
12 949 0.542246899348 Henry Cohn, 2026, needs more optimization.
12 950 0.542395256462 Henry Cohn, 2026, needs more optimization.
12 951 0.542542241916 Henry Cohn, 2026, needs more optimization.
12 952 0.542769559328 Henry Cohn, 2026, needs more optimization.
12 953 0.543045227375 Henry Cohn, 2026, needs more optimization.
12 954 0.543198759645 Henry Cohn, 2026, needs more optimization.
12 955 0.543413741675 Henry Cohn, 2026, needs more optimization.
12 956 0.543492796448 Henry Cohn, 2026, needs more optimization.
12 957 0.543672909026 Henry Cohn, 2026, needs more optimization.
12 958 0.543818918461 Henry Cohn, 2026, needs more optimization.
12 959 0.543969594227 Henry Cohn, 2026, needs more optimization.
12 960 0.544121992066 Henry Cohn, 2026, needs more optimization.
12 961 0.544254121437 Henry Cohn, 2026, needs more optimization.
12 962 0.544454616342 Henry Cohn, 2026, needs more optimization.
12 963 0.544556311072 Henry Cohn, 2026, needs more optimization.
12 964 0.544724127653 Henry Cohn, 2026, needs more optimization.
12 965 0.544859013983 Henry Cohn, 2026, needs more optimization.
12 966 0.544948505214 Henry Cohn, 2026, needs more optimization.
12 967 0.545124011447 Henry Cohn, 2026, needs more optimization.
12 968 0.545266496688 Henry Cohn, 2026, needs more optimization.
12 969 0.545471098580 Henry Cohn, 2026, needs more optimization.
12 970 0.545527044910 Henry Cohn, 2026, needs more optimization.
12 971 0.545641799198 Henry Cohn, 2026, needs more optimization.
12 972 0.545751371562 Henry Cohn, 2026, needs more optimization.
12 973 0.545943218624 Henry Cohn, 2026, needs more optimization.
12 974 0.546144497386 Henry Cohn, 2026, needs more optimization.
12 975 0.546286786343 Henry Cohn, 2026, needs more optimization.
12 976 0.546413825262 Henry Cohn, 2026, needs more optimization.
12 977 0.546576630708 Henry Cohn, 2026, needs more optimization.
12 978 0.546692024777 Henry Cohn, 2026, needs more optimization.
12 979 0.546825305386 Henry Cohn, 2026, needs more optimization.
12 980 0.546890068209 Henry Cohn, 2026, needs more optimization.
12 981 0.547083635658 Henry Cohn, 2026, needs more optimization.
12 982 0.547139193443 Henry Cohn, 2026, needs more optimization.
12 983 0.547285214359 Henry Cohn, 2026, needs more optimization.
12 984 0.547435463217 Henry Cohn, 2026, needs more optimization.
12 985 0.547601946212 Henry Cohn, 2026, needs more optimization.
12 986 0.547738018489 Henry Cohn, 2026, needs more optimization.
12 987 0.547813855969 Henry Cohn, 2026, needs more optimization.
12 988 0.547935004030 Henry Cohn, 2026, needs more optimization.
12 989 0.548078424758 Henry Cohn, 2026, needs more optimization.
12 990 0.548102710151 Henry Cohn, 2026, needs more optimization.
12 991 0.548265261454 Henry Cohn, 2026, needs more optimization.
12 992 0.548372659845 Henry Cohn, 2026, needs more optimization.
12 993 0.548500655951 Henry Cohn, 2026, needs more optimization.
12 994 0.548684399444 Henry Cohn, 2026, needs more optimization.
12 995 0.548779342570 Henry Cohn, 2026, needs more optimization.
12 996 0.548996957079 Henry Cohn, 2026, needs more optimization.
12 997 0.549103877430 Henry Cohn, 2026, needs more optimization.
12 998 0.549270112679 Henry Cohn, 2026, needs more optimization.
12 999 0.549421837202 Henry Cohn, 2026, needs more optimization.
12 1000 0.549640995844 Henry Cohn, 2026, needs more optimization.
12 1001 0.549739534910 Henry Cohn, 2026, needs more optimization.
12 1002 0.549973179097 Henry Cohn, 2026, needs more optimization.
12 1003 0.550047051472 Henry Cohn, 2026, needs more optimization.
12 1004 0.550219820867 Henry Cohn, 2026, needs more optimization.
12 1005 0.550310984584 Henry Cohn, 2026, needs more optimization.
12 1006 0.550409822375 Henry Cohn, 2026, needs more optimization.
12 1007 0.550511760887 Henry Cohn, 2026, needs more optimization.
12 1008 0.550649847733 Henry Cohn, 2026, needs more optimization.
12 1009 0.550781428621 Henry Cohn, 2026, needs more optimization.
12 1010 0.550976958232 Henry Cohn, 2026, needs more optimization.
12 1011 0.551099263912 Henry Cohn, 2026, needs more optimization.
12 1012 0.551153699244 Henry Cohn, 2026, needs more optimization.
12 1013 0.551329358219 Henry Cohn, 2026, needs more optimization.
12 1014 0.551415527222 Henry Cohn, 2026, needs more optimization.
12 1015 0.551506014408 Henry Cohn, 2026, needs more optimization.
12 1016 0.551705193594 Henry Cohn, 2026, needs more optimization.
12 1017 0.551805069095 Henry Cohn, 2026, needs more optimization.
12 1018 0.551901239831 Henry Cohn, 2026, needs more optimization.
12 1019 0.552109997734 Henry Cohn, 2026, needs more optimization.
12 1020 0.552223329633 Henry Cohn, 2026, needs more optimization.
12 1021 0.552364629923 Henry Cohn, 2026, needs more optimization.
12 1022 0.552453770563 Henry Cohn, 2026, needs more optimization.
12 1023 0.552589473076 Henry Cohn, 2026, needs more optimization.
12 1024 0.552791951280 Henry Cohn, 2026, needs more optimization.
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 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 0.147908234060 Henry Cohn, 2024.
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 58 0.173474302723 Henry Cohn, 2023.
13 59 0.180540658957 Henry Cohn, 2024.
13 60 0.184387527775 Henry Cohn, 2026.
13 61 0.189130618757 Henry Cohn, 2026.
13 62 0.189939244395 Henry Cohn, 2026.
13 63 0.193274783328 Henry Cohn, 2026.
13 64 0.194849252724 Henry Cohn, 2026.
13 65 0.198937958705 Henry Cohn, 2026.
13 66 0.201499955088 Henry Cohn, 2026.
13 67 0.204059765290 Henry Cohn, 2026.
13 68 0.207236674050 Henry Cohn, 2026.
13 69 0.208426937688 Henry Cohn, 2026.
13 70 0.210761730652 Henry Cohn, 2026, needs more optimization.
13 71 0.212574330623 Henry Cohn, 2025.
13 72 0.214183844238 Henry Cohn, 2025.
13 73 0.216144696633 Henry Cohn, 2026, needs more optimization.
13 74 0.217555077772 Henry Cohn, 2026, needs more optimization.
13 75 0.219796325248 Henry Cohn, 2026, needs more optimization.
13 76 0.222090008830 Henry Cohn, 2026, needs more optimization.
13 77 0.224126205712 Henry Cohn, 2026, needs more optimization.
13 78 0.226253188927 Henry Cohn, 2026, needs more optimization.
13 79 0.228139500109 Henry Cohn, 2026, needs more optimization.
13 80 0.230720126969 Henry Cohn, 2026, needs more optimization.
13 81 0.232720216127 Henry Cohn, 2024, needs more optimization.
13 82 0.234406900251 Henry Cohn, 2026, needs more optimization.
13 83 0.236560164014 Henry Cohn, 2026, needs more optimization.
13 84 0.238093292153 Henry Cohn, 2026, needs more optimization.
13 85 0.239148109907 Henry Cohn, 2026, needs more optimization.
13 86 0.240112147390 Henry Cohn, 2026, needs more optimization.
13 87 0.241034749258 Henry Cohn, 2026, needs more optimization.
13 88 0.242148839601 Henry Cohn, 2026, needs more optimization.
13 89 0.243767059733 Henry Cohn, 2026, needs more optimization.
13 91 0.243979085270 Henry Cohn, 2026, needs more optimization.
13 92 0.244051938964 Henry Cohn, 2026, needs more optimization.
13 93 0.244060811292 Henry Cohn, 2026, needs more optimization.
13 94 0.244143161935 Henry Cohn, 2026, needs more optimization.
13 95 0.244218966114 Henry Cohn, 2026, needs more optimization.
13 96 0.244333234493 Henry Cohn, 2026, needs more optimization.
13 97 0.244403639660 Henry Cohn, 2026, needs more optimization.
13 98 0.244475717847 Henry Cohn, 2026, needs more optimization.
13 99 0.246245154878 Henry Cohn, 2026, needs more optimization.
13 100 0.246924168771 Henry Cohn, 2026, needs more optimization.
13 101 0.249341456819 Henry Cohn, 2026, needs more optimization.
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.
13 107 0.257876424884 Henry Cohn, 2026, needs more optimization.
13 108 0.258361254316 Henry Cohn, 2026, needs more optimization.
13 109 0.258970157362 Henry Cohn, 2026, needs more optimization.
13 110 0.259444063268 Henry Cohn, 2026, needs more optimization.
13 111 0.259780906598 Henry Cohn, 2026, needs more optimization.
13 112 0.261425830873 Henry Cohn, 2026, needs more optimization.
13 113 0.263324771956 Henry Cohn, 2026, needs more optimization.
13 114 0.263582320125 Henry Cohn, 2026, needs more optimization.
13 115 0.264241092180 Henry Cohn, 2026, needs more optimization.
13 116 0.266807071362 Henry Cohn, 2026, needs more optimization.
13 117 0.270008059084 Henry Cohn, 2026, needs more optimization.
13 118 0.271257223770 Henry Cohn, 2026, needs more optimization.
13 119 0.271262788723 Henry Cohn, 2026, needs more optimization.
13 120 0.271264076326 Henry Cohn, 2026, needs more optimization.
13 121 0.272530440294 Henry Cohn, 2026, needs more optimization.
13 122 0.273643458206 Henry Cohn, 2026, needs more optimization.
13 123 0.274881818613 Henry Cohn, 2026, needs more optimization.
13 124 0.275835352852 Henry Cohn, 2026, needs more optimization.
13 125 0.276037827274 Henry Cohn, 2026, needs more optimization.
13 126 0.277696470351 Henry Cohn, 2026, needs more optimization.
13 127 0.279713541179 Henry Cohn, 2026, needs more optimization.
13 128 0.281345708350 Henry Cohn, 2026, needs more optimization.
13 129 0.282892765752 Henry Cohn, 2026, needs more optimization.
13 130 0.284588804266 Henry Cohn, 2026, needs more optimization.
13 131 0.286350661389 Henry Cohn, 2026, needs more optimization.
13 132 0.287424606968 Henry Cohn, 2026, needs more optimization.
13 133 0.287752207821 Henry Cohn, 2026, needs more optimization.
13 134 0.288493449774 Henry Cohn, 2026, needs more optimization.
13 135 0.289393234001 Henry Cohn, 2026, needs more optimization.
13 136 0.291030670376 Henry Cohn, 2026, needs more optimization.
13 137 0.292466739990 Henry Cohn, 2026, needs more optimization.
13 138 0.294580629608 Henry Cohn, 2026, needs more optimization.
13 139 0.296093686159 Henry Cohn, 2026, needs more optimization.
13 140 0.296826554943 Henry Cohn, 2026, needs more optimization.
13 141 0.297416698833 Henry Cohn, 2026, needs more optimization.
13 142 0.297506513787 Henry Cohn, 2026, needs more optimization.
13 143 0.297664510869 Henry Cohn, 2026, needs more optimization.
13 144 0.299293195226 Henry Cohn, 2026, needs more optimization.
13 145 0.300763460201 Henry Cohn, 2026, needs more optimization.
13 146 0.300800624164 Henry Cohn, 2026, needs more optimization.
13 147 0.300832252333 Henry Cohn, 2026, needs more optimization.
13 148 0.300834705403 Henry Cohn, 2026, needs more optimization.
13 149 0.300898750036 Henry Cohn, 2026, needs more optimization.
13 150 0.300977858076 Henry Cohn, 2026, needs more optimization.
13 151 0.301155400564 Henry Cohn, 2026, needs more optimization.
13 152 0.302252762837 Henry Cohn, 2026, needs more optimization.
13 153 0.302857479351 Henry Cohn, 2026, needs more optimization.
13 154 0.305090112639 Henry Cohn, 2026, needs more optimization.
13 155 0.306480789320 Henry Cohn, 2026, needs more optimization.
13 156 0.307224073754 Henry Cohn, 2026, needs more optimization.
13 157 0.308898557656 Henry Cohn, 2026, needs more optimization.
13 158 0.309814270990 Henry Cohn, 2026, needs more optimization.
13 159 0.311409127223 Henry Cohn, 2026, needs more optimization.
13 160 0.311847196740 Henry Cohn, 2026, needs more optimization.
13 161 0.312525578737 Henry Cohn, 2026, needs more optimization.
13 162 0.313684323701 Henry Cohn, 2026, needs more optimization.
13 163 0.314512879833 Henry Cohn, 2026, needs more optimization.
13 164 0.315556555677 Henry Cohn, 2026, needs more optimization.
13 165 0.315905742491 Henry Cohn, 2026, needs more optimization.
13 166 0.316297566396 Henry Cohn, 2026, needs more optimization.
13 167 0.317161327367 Henry Cohn, 2026, needs more optimization.
13 168 0.317685191539 Henry Cohn, 2026, needs more optimization.
13 169 0.318109617292 Henry Cohn, 2026, needs more optimization.
13 170 0.319123738762 Henry Cohn, 2026, needs more optimization.
13 171 0.319629886349 Henry Cohn, 2026, needs more optimization.
13 172 0.319861037101 Henry Cohn, 2026, needs more optimization.
13 173 0.320078016459 Henry Cohn, 2026, needs more optimization.
13 174 0.320297783085 Henry Cohn, 2026, needs more optimization.
13 175 0.320856239023 Henry Cohn, 2026, needs more optimization.
13 176 0.320858023990 Henry Cohn, 2026, needs more optimization.
13 177 0.321422143511 Henry Cohn, 2026, needs more optimization.
13 178 0.321940666531 Henry Cohn, 2026, needs more optimization.
13 179 0.322683149591 Henry Cohn, 2026, needs more optimization.
13 180 0.323177706424 Henry Cohn, 2026, needs more optimization.
13 181 0.323555451521 Henry Cohn, 2026, needs more optimization.
13 182 0.324060683423 Henry Cohn, 2026, needs more optimization.
13 183 0.324674348546 Henry Cohn, 2026, needs more optimization.
13 184 0.324843492960 Henry Cohn, 2026, needs more optimization.
13 185 0.325422936514 Henry Cohn, 2026, needs more optimization.
13 186 0.326220945626 Henry Cohn, 2026, needs more optimization.
13 187 0.326420264628 Henry Cohn, 2026, needs more optimization.
13 188 0.326750165784 Henry Cohn, 2026, needs more optimization.
13 189 0.326982807464 Henry Cohn, 2026, needs more optimization.
13 190 0.327311157083 Henry Cohn, 2026, needs more optimization.
13 191 0.327713184949 Henry Cohn, 2026, needs more optimization.
13 192 0.328096668962 Henry Cohn, 2026, needs more optimization.
13 193 0.328112013331 Henry Cohn, 2026, needs more optimization.
13 194 0.328300601175 Henry Cohn, 2026, needs more optimization.
13 195 0.328491227078 Henry Cohn, 2026, needs more optimization.
13 196 0.328735929940 Henry Cohn, 2026, needs more optimization.
13 197 0.328874522964 Henry Cohn, 2026, needs more optimization.
13 198 0.329027943954 Henry Cohn, 2026, needs more optimization.
13 199 0.329142952915 Henry Cohn, 2026, needs more optimization.
13 200 0.329342398496 Henry Cohn, 2026, needs more optimization.
13 201 0.329522676576 Henry Cohn, 2026, needs more optimization.
13 202 0.329690749783 Henry Cohn, 2026, needs more optimization.
13 203 0.332319935002 Henry Cohn, 2026, needs more optimization.
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 0.350454981791 Henry Cohn, 2026, needs more optimization.
13 210 0.351579816388 Henry Cohn, 2026, needs more optimization.
13 211 0.352249768809 Henry Cohn, 2026, needs more optimization.
13 212 0.352778178967 Henry Cohn, 2026, needs more optimization.
13 213 0.353908968891 Henry Cohn, 2026, needs more optimization.
13 214 0.354466062748 Henry Cohn, 2026, needs more optimization.
13 215 0.355369398554 Henry Cohn, 2026, needs more optimization.
13 216 0.355724885419 Henry Cohn, 2026, needs more optimization.
13 217 0.356435440078 Henry Cohn, 2026, needs more optimization.
13 218 0.357592618572 Henry Cohn, 2026, needs more optimization.
13 219 0.358097921751 Henry Cohn, 2026, needs more optimization.
13 220 0.358852636145 Henry Cohn, 2026, needs more optimization.
13 221 0.359893497223 Henry Cohn, 2026, needs more optimization.
13 222 0.360500477115 Henry Cohn, 2026, needs more optimization.
13 223 0.361604733877 Henry Cohn, 2026, needs more optimization.
13 224 0.362377899749 Henry Cohn, 2026, needs more optimization.
13 225 0.363360940064 Henry Cohn, 2026, needs more optimization.
13 226 0.364025150140 Henry Cohn, 2026, needs more optimization.
13 227 0.364774605012 Henry Cohn, 2026, needs more optimization.
13 228 0.365434943661 Henry Cohn, 2026, needs more optimization.
13 229 0.366367041513 Henry Cohn, 2026, needs more optimization.
13 230 0.366888670746 Henry Cohn, 2026, needs more optimization.
13 231 0.367686451129 Henry Cohn, 2026, needs more optimization.
13 232 0.368704823666 Henry Cohn, 2026, needs more optimization.
13 233 0.369233038656 Henry Cohn, 2026, needs more optimization.
13 234 0.369992288088 Henry Cohn, 2026, needs more optimization.
13 235 0.371065292340 Henry Cohn, 2026, needs more optimization.
13 236 0.371367533272 Henry Cohn, 2026, needs more optimization.
13 237 0.372099751670 Henry Cohn, 2026, needs more optimization.
13 238 0.372912044422 Henry Cohn, 2026, needs more optimization.
13 239 0.373572070875 Henry Cohn, 2026, needs more optimization.
13 240 0.374220159380 Henry Cohn, 2026, needs more optimization.
13 241 0.374808072485 Henry Cohn, 2026, needs more optimization.
13 242 0.375602005881 Henry Cohn, 2026, needs more optimization.
13 243 0.376259536097 Henry Cohn, 2026, needs more optimization.
13 244 0.376708496370 Henry Cohn, 2026, needs more optimization.
13 245 0.377633413916 Henry Cohn, 2026, needs more optimization.
13 246 0.378272246990 Henry Cohn, 2026, needs more optimization.
13 247 0.378820680104 Henry Cohn, 2026, needs more optimization.
13 248 0.379276103073 Henry Cohn, 2026, needs more optimization.
13 249 0.380069447711 Henry Cohn, 2026, needs more optimization.
13 250 0.380763937318 Henry Cohn, 2026, needs more optimization.
13 251 0.381484943938 Henry Cohn, 2026, needs more optimization.
13 252 0.381924730420 Henry Cohn, 2026, needs more optimization.
13 266 0.382352941177 Henry Cohn, 2026.
34⁢x−13
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 0.389819204063 Henry Cohn, 2026, needs more optimization.
13 315 0.391821619127 Henry Cohn, 2026, needs more optimization.
13 316 0.395716874832 Henry Cohn, 2026, needs more optimization.
13 317 0.397923112027 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
13 338 0.400301110528 Henry Cohn, 2026, needs more optimization.
13 339 0.402098954446 Henry Cohn, 2026, needs more optimization.
13 340 0.406061035068 Henry Cohn, 2026, needs more optimization.
13 341 0.407423185637 Henry Cohn, 2026, needs more optimization.
13 342 0.407701983297 Henry Cohn, 2026, needs more optimization.
13 343 0.407747537162 Henry Cohn, 2026, needs more optimization.
13 344 0.408195385980 Henry Cohn, 2026, needs more optimization.
13 345 0.408407849148 Henry Cohn, 2026, needs more optimization.
13 346 0.408774643264 Henry Cohn, 2026, needs more optimization.
13 347 0.409579640079 Henry Cohn, 2026, needs more optimization.
13 348 0.410347763449 Henry Cohn, 2026, needs more optimization.
13 349 0.411014485533 Henry Cohn, 2026, needs more optimization.
13 350 0.411503859178 Henry Cohn, 2026, needs more optimization.
13 351 0.412103909251 Henry Cohn, 2026, needs more optimization.
13 352 0.412735253862 Henry Cohn, 2026, needs more optimization.
13 353 0.413426741935 Henry Cohn, 2026, needs more optimization.
13 354 0.414035461254 Henry Cohn, 2026, needs more optimization.
13 355 0.414613295370 Henry Cohn, 2026, needs more optimization.
13 356 0.414984834235 Henry Cohn, 2026, needs more optimization.
13 357 0.415240878304 Henry Cohn, 2026, needs more optimization.
13 358 0.415702420621 Henry Cohn, 2026, needs more optimization.
13 359 0.416145528684 Henry Cohn, 2026, needs more optimization.
13 383 0.416666666667 Henry Cohn, 2026.
12⁢x−5
13 384 0.419651020386 Henry Cohn, 2026, needs more optimization.
13 385 0.420793083086 Henry Cohn, 2026, needs more optimization.
13 386 0.421219293536 Henry Cohn, 2026, needs more optimization.
13 387 0.422559982967 Henry Cohn, 2026, needs more optimization.
13 388 0.423109845933 Henry Cohn, 2026, needs more optimization.
13 389 0.423844142786 Henry Cohn, 2026, needs more optimization.
13 390 0.424234603445 Henry Cohn, 2026, needs more optimization.
13 391 0.424757858839 Henry Cohn, 2026, needs more optimization.
13 392 0.425251988504 Henry Cohn, 2026, needs more optimization.
13 393 0.426004078396 Henry Cohn, 2026, needs more optimization.
13 394 0.426565828217 Henry Cohn, 2026, needs more optimization.
13 395 0.427256454846 Henry Cohn, 2026, needs more optimization.
13 396 0.428298163491 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 0.428679829923 Henry Cohn, 2026, needs more optimization.
13 500 0.429497495241 Henry Cohn, 2026, needs more optimization.
13 501 0.429604834557 Henry Cohn, 2026, needs more optimization.
13 502 0.429675671218 Henry Cohn, 2026, needs more optimization.
13 503 0.429681990479 Henry Cohn, 2026, needs more optimization.
13 504 0.429706297038 Henry Cohn, 2026, needs more optimization.
13 505 0.436915856402 Henry Cohn, 2026, needs more optimization.
13 506 0.439536756664 Henry Cohn, 2026, needs more optimization.
13 507 0.441387927615 Henry Cohn, 2026, needs more optimization.
13 508 0.441672190344 Henry Cohn, 2026, needs more optimization.
13 509 0.442872559808 Henry Cohn, 2026, needs more optimization.
13 510 0.443711698116 Henry Cohn, 2026, needs more optimization.
13 511 0.443750479064 Henry Cohn, 2026, needs more optimization.
13 512 0.444837921442 Henry Cohn, 2026, needs more optimization.
13 513 0.445181460806 Henry Cohn, 2026, needs more optimization.
13 514 0.445749449703 Henry Cohn, 2026, needs more optimization.
13 515 0.445751284494 Henry Cohn, 2026, needs more optimization.
13 516 0.446187561138 Henry Cohn, 2026, needs more optimization.
13 517 0.446605512232 Henry Cohn, 2026, needs more optimization.
13 518 0.446606748571 Henry Cohn, 2026, needs more optimization.
13 519 0.446614113833 Henry Cohn, 2026, needs more optimization.
13 520 0.446615128711 Henry Cohn, 2026, needs more optimization.
13 521 0.447133273380 Henry Cohn, 2026, needs more optimization.
13 522 0.447228536471 Henry Cohn, 2026, needs more optimization.
13 523 0.447259414854 Henry Cohn, 2026, needs more optimization.
13 524 0.447262516276 Henry Cohn, 2026, needs more optimization.
13 525 0.447265336332 Henry Cohn, 2026, needs more optimization.
13 526 0.447268107681 Henry Cohn, 2026, needs more optimization.
13 527 0.447294021813 Henry Cohn, 2026, needs more optimization.
13 528 0.447295697961 Henry Cohn, 2026, needs more optimization.
13 529 0.447440698009 Henry Cohn, 2026, needs more optimization.
13 530 0.447538327900 Henry Cohn, 2026, needs more optimization.
13 531 0.447575500650 Henry Cohn, 2026, needs more optimization.
13 532 0.447693693555 Henry Cohn, 2026, needs more optimization.
13 533 0.447718501826 Henry Cohn, 2026, needs more optimization.
13 534 0.447826291476 Henry Cohn, 2026, needs more optimization.
13 535 0.448053528597 Henry Cohn, 2026, needs more optimization.
13 536 0.448234842000 Henry Cohn, 2026, needs more optimization.
13 537 0.448511349671 Henry Cohn, 2026, needs more optimization.
13 538 0.448609504991 Henry Cohn, 2026, needs more optimization.
13 539 0.448893197189 Henry Cohn, 2026, needs more optimization.
13 540 0.449274173419 Henry Cohn, 2026, needs more optimization.
13 541 0.449419123025 Henry Cohn, 2026, needs more optimization.
13 542 0.449514426418 Henry Cohn, 2026, needs more optimization.
13 543 0.449861036129 Henry Cohn, 2026, needs more optimization.
13 544 0.449871526251 Henry Cohn, 2026, needs more optimization.
13 545 0.449878859141 Henry Cohn, 2026, needs more optimization.
13 546 0.449929976015 Henry Cohn, 2026, needs more optimization.
13 547 0.450493187032 Henry Cohn, 2026, needs more optimization.
13 548 0.450822331559 Henry Cohn, 2026, needs more optimization.
13 549 0.450837483806 Henry Cohn, 2026, needs more optimization.
13 550 0.450893364351 Henry Cohn, 2026, needs more optimization.
13 551 0.450900234313 Henry Cohn, 2026, needs more optimization.
13 552 0.450958294308 Henry Cohn, 2026, needs more optimization.
13 553 0.451238708299 Henry Cohn, 2026, needs more optimization.
13 554 0.451514613741 Henry Cohn, 2026, needs more optimization.
13 555 0.451749396080 Henry Cohn, 2026, needs more optimization.
13 556 0.451897043028 Henry Cohn, 2026, needs more optimization.
13 557 0.452018585489 Henry Cohn, 2026, needs more optimization.
13 558 0.452270248897 Henry Cohn, 2026, needs more optimization.
13 559 0.452621832903 Henry Cohn, 2026, needs more optimization.
13 560 0.453001958371 Henry Cohn, 2026, needs more optimization.
13 561 0.453312036948 Henry Cohn, 2026, needs more optimization.
13 562 0.453489884752 Henry Cohn, 2026, needs more optimization.
13 563 0.453980460104 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 0.459809460220 Henry Cohn, 2026, needs more optimization.
13 580 0.460953606817 Henry Cohn, 2026, needs more optimization.
13 581 0.461746060173 Henry Cohn, 2026, needs more optimization.
13 582 0.462475353737 Henry Cohn, 2026, needs more optimization.
13 583 0.463039857854 Henry Cohn, 2026, needs more optimization.
13 584 0.463602316014 Henry Cohn, 2026, needs more optimization.
13 585 0.463616088239 Henry Cohn, 2026, needs more optimization.
13 586 0.463854432981 Henry Cohn, 2026, needs more optimization.
13 587 0.464113590826 Henry Cohn, 2026, needs more optimization.
13 588 0.464330978900 Henry Cohn, 2026, needs more optimization.
13 589 0.464659496853 Henry Cohn, 2026, needs more optimization.
13 590 0.464747356779 Henry Cohn, 2026, needs more optimization.
13 591 0.465001781176 Henry Cohn, 2026, needs more optimization.
13 592 0.465093790301 Henry Cohn, 2026, needs more optimization.
13 593 0.465125297133 Henry Cohn, 2026, needs more optimization.
13 594 0.465412144827 Henry Cohn, 2026, needs more optimization.
13 595 0.465508227723 Henry Cohn, 2026, needs more optimization.
13 596 0.465592848040 Henry Cohn, 2026, needs more optimization.
13 597 0.465712971563 Henry Cohn, 2026, needs more optimization.
13 598 0.465849587214 Henry Cohn, 2026, needs more optimization.
13 599 0.465899918569 Henry Cohn, 2026, needs more optimization.
13 600 0.466020607819 Henry Cohn, 2026, needs more optimization.
13 601 0.466134761595 Henry Cohn, 2026, needs more optimization.
13 602 0.466226473879 Henry Cohn, 2026, needs more optimization.
13 603 0.466261522585 Henry Cohn, 2026, needs more optimization.
13 604 0.466281950674 Henry Cohn, 2026, needs more optimization.
13 605 0.466374854024 Henry Cohn, 2026, needs more optimization.
13 606 0.466440667623 Henry Cohn, 2026, needs more optimization.
13 607 0.466448853578 Henry Cohn, 2026, needs more optimization.
13 608 0.466518368120 Henry Cohn, 2026, needs more optimization.
13 609 0.466536273066 Henry Cohn, 2026, needs more optimization.
13 610 0.466542184742 Henry Cohn, 2026, needs more optimization.
13 611 0.466551426195 Henry Cohn, 2026, needs more optimization.
13 612 0.466561983641 Henry Cohn, 2026, needs more optimization.
13 613 0.466632662165 Henry Cohn, 2026, needs more optimization.
13 614 0.466718077046 Henry Cohn, 2026, needs more optimization.
13 615 0.466842547095 Henry Cohn, 2026, needs more optimization.
13 616 0.466910961658 Henry Cohn, 2026, needs more optimization.
13 617 0.466912841058 Henry Cohn, 2026, needs more optimization.
13 618 0.467042417163 Henry Cohn, 2026, needs more optimization.
13 619 0.467064923538 Henry Cohn, 2026, needs more optimization.
13 620 0.467142222106 Henry Cohn, 2026, needs more optimization.
13 621 0.467179295207 Henry Cohn, 2026, needs more optimization.
13 622 0.467210294023 Henry Cohn, 2026, needs more optimization.
13 623 0.467284837743 Henry Cohn, 2026, needs more optimization.
13 624 0.467302295846 Henry Cohn, 2026, needs more optimization.
13 625 0.467339419675 Henry Cohn, 2026, needs more optimization.
13 626 0.467367762604 Henry Cohn, 2026, needs more optimization.
13 627 0.467465001989 Henry Cohn, 2026, needs more optimization.
13 628 0.467541935901 Henry Cohn, 2026, needs more optimization.
13 629 0.467680955378 Henry Cohn, 2026, needs more optimization.
13 630 0.467693553116 Henry Cohn, 2026, needs more optimization.
13 631 0.469224267176 Henry Cohn, 2026, needs more optimization.
13 632 0.469485329198 Henry Cohn, 2026, needs more optimization.
13 633 0.470314735286 Henry Cohn, 2026, needs more optimization.
13 634 0.470985907021 Henry Cohn, 2026, needs more optimization.
13 635 0.471595989639 Henry Cohn, 2026, needs more optimization.
13 636 0.472070090885 Henry Cohn, 2026, needs more optimization.
13 637 0.472525687514 Henry Cohn, 2026, needs more optimization.
13 638 0.473155818855 Henry Cohn, 2026, needs more optimization.
13 639 0.473603480012 Henry Cohn, 2026, needs more optimization.
13 640 0.474114233761 Henry Cohn, 2026, needs more optimization.
13 641 0.474365431762 Henry Cohn, 2026, needs more optimization.
13 642 0.474909263582 Henry Cohn, 2026, needs more optimization.
13 644 0.475 Henry Cohn, 2026.
40⁢x−19
13 645 0.476047770169 Henry Cohn, 2026, needs more optimization.
13 646 0.476928555759 Henry Cohn, 2026, needs more optimization.
13 647 0.477166620364 Henry Cohn, 2026, needs more optimization.
13 648 0.477626349439 Henry Cohn, 2026, needs more optimization.
13 649 0.478018116252 Henry Cohn, 2026, needs more optimization.
13 650 0.478239366004 Henry Cohn, 2026, needs more optimization.
13 651 0.478597735739 Henry Cohn, 2026, needs more optimization.
13 652 0.478851820582 Henry Cohn, 2026, needs more optimization.
13 653 0.479030091200 Henry Cohn, 2026, needs more optimization.
13 654 0.479035329213 Henry Cohn, 2026, needs more optimization.
13 655 0.479160147590 Henry Cohn, 2026, needs more optimization.
13 656 0.479306920038 Henry Cohn, 2026, needs more optimization.
13 657 0.479472787891 Henry Cohn, 2026, needs more optimization.
13 658 0.479616112412 Henry Cohn, 2026, needs more optimization.
13 659 0.479712180735 Henry Cohn, 2026, needs more optimization.
13 660 0.479813426859 Henry Cohn, 2026, needs more optimization.
13 661 0.480018994960 Henry Cohn, 2026, needs more optimization.
13 662 0.480114714764 Henry Cohn, 2026, needs more optimization.
13 663 0.480241639615 Henry Cohn, 2026, needs more optimization.
13 664 0.480319424192 Henry Cohn, 2026, needs more optimization.
13 665 0.480359766741 Henry Cohn, 2026, needs more optimization.
13 666 0.480680365995 Henry Cohn, 2026, needs more optimization.
13 667 0.480719442658 Henry Cohn, 2026, needs more optimization.
13 668 0.480814283081 Henry Cohn, 2026, needs more optimization.
13 669 0.480848177130 Henry Cohn, 2026, needs more optimization.
13 670 0.480876416698 Henry Cohn, 2026, needs more optimization.
13 671 0.480932882424 Henry Cohn, 2026, needs more optimization.
13 672 0.481071686996 Henry Cohn, 2026, needs more optimization.
13 673 0.481175242923 Henry Cohn, 2026, needs more optimization.
13 674 0.481281319731 Henry Cohn, 2026, needs more optimization.
13 675 0.481425355891 Henry Cohn, 2026, needs more optimization.
13 676 0.481626431653 Henry Cohn, 2026, needs more optimization.
13 677 0.481656515261 Henry Cohn, 2026, needs more optimization.
13 678 0.481829958856 Henry Cohn, 2026, needs more optimization.
13 679 0.482062708270 Henry Cohn, 2026, needs more optimization.
13 680 0.482146320797 Henry Cohn, 2026, needs more optimization.
13 681 0.482158926323 Henry Cohn, 2026, needs more optimization.
13 682 0.482332547314 Henry Cohn, 2026, needs more optimization.
13 683 0.482465449773 Henry Cohn, 2026, needs more optimization.
13 684 0.482466268639 Henry Cohn, 2026, needs more optimization.
13 685 0.482500964695 Henry Cohn, 2026, needs more optimization.
13 686 0.482659614072 Henry Cohn, 2026, needs more optimization.
13 687 0.482666571871 Henry Cohn, 2026, needs more optimization.
13 688 0.482771247959 Henry Cohn, 2026, needs more optimization.
13 689 0.482839833230 Henry Cohn, 2026, needs more optimization.
13 690 0.482877794256 Henry Cohn, 2026, needs more optimization.
13 691 0.482880807131 Henry Cohn, 2026, needs more optimization.
13 692 0.482950374429 Henry Cohn, 2026, needs more optimization.
13 693 0.483029295638 Henry Cohn, 2026, needs more optimization.
13 694 0.483154078974 Henry Cohn, 2026, needs more optimization.
13 695 0.483317969080 Henry Cohn, 2026, needs more optimization.
13 696 0.483441109332 Henry Cohn, 2026, needs more optimization.
13 697 0.483543869936 Henry Cohn, 2026, needs more optimization.
13 698 0.483806530204 Henry Cohn, 2026, needs more optimization.
13 699 0.483929576527 Henry Cohn, 2026, needs more optimization.
13 700 0.484012424203 Henry Cohn, 2026, needs more optimization.
13 701 0.484232522877 Henry Cohn, 2026, needs more optimization.
13 702 0.484258015284 Henry Cohn, 2026, needs more optimization.
13 703 0.484295823384 Henry Cohn, 2026, needs more optimization.
13 704 0.484308005519 Henry Cohn, 2026, needs more optimization.
13 705 0.484335212727 Henry Cohn, 2026, needs more optimization.
13 706 0.484377462630 Henry Cohn, 2026, needs more optimization.
13 707 0.484489893614 Henry Cohn, 2026, needs more optimization.
13 708 0.484584936294 Henry Cohn, 2026, needs more optimization.
13 709 0.484692156413 Henry Cohn, 2026, needs more optimization.
13 710 0.484752830107 Henry Cohn, 2026, needs more optimization.
13 711 0.484944256298 Henry Cohn, 2026, needs more optimization.
13 712 0.484950334315 Henry Cohn, 2026, needs more optimization.
13 713 0.484971312522 Henry Cohn, 2026, needs more optimization.
13 714 0.485002213379 Henry Cohn, 2026, needs more optimization.
13 715 0.485086939316 Henry Cohn, 2026, needs more optimization.
13 716 0.485127542077 Henry Cohn, 2026, needs more optimization.
13 717 0.485145078821 Henry Cohn, 2026, needs more optimization.
13 718 0.485174932421 Henry Cohn, 2026, needs more optimization.
13 719 0.485237986784 Henry Cohn, 2026, needs more optimization.
13 720 0.485267979588 Henry Cohn, 2026, needs more optimization.
13 721 0.485307973993 Henry Cohn, 2026, needs more optimization.
13 722 0.485338758533 Henry Cohn, 2026, needs more optimization.
13 723 0.485399506049 Henry Cohn, 2026, needs more optimization.
13 724 0.485447149126 Henry Cohn, 2026, needs more optimization.
13 725 0.485535682358 Henry Cohn, 2026, needs more optimization.
13 726 0.485590257749 Henry Cohn, 2026, needs more optimization.
13 727 0.485595739474 Henry Cohn, 2026, needs more optimization.
13 728 0.485668914724 Henry Cohn, 2026, needs more optimization.
13 729 0.485748932137 Henry Cohn, 2026, needs more optimization.
13 730 0.485832299909 Henry Cohn, 2026, needs more optimization.
13 731 0.485835379119 Henry Cohn, 2026, needs more optimization.
13 732 0.485894668136 Henry Cohn, 2026, needs more optimization.
13 733 0.485970251473 Henry Cohn, 2026, needs more optimization.
13 734 0.486029097010 Henry Cohn, 2026, needs more optimization.
13 735 0.486147959162 Henry Cohn, 2026, needs more optimization.
13 736 0.486179813857 Henry Cohn, 2026, needs more optimization.
13 737 0.486249204407 Henry Cohn, 2026, needs more optimization.
13 738 0.486294201421 Henry Cohn, 2026, needs more optimization.
13 739 0.486379657380 Henry Cohn, 2026, needs more optimization.
13 740 0.486384999411 Henry Cohn, 2026, needs more optimization.
13 741 0.486458250739 Henry Cohn, 2026, needs more optimization.
13 742 0.486489656825 Henry Cohn, 2026, needs more optimization.
13 743 0.486533652215 Henry Cohn, 2026, needs more optimization.
13 744 0.486626491364 Henry Cohn, 2026, needs more optimization.
13 745 0.486687905739 Henry Cohn, 2026, needs more optimization.
13 746 0.486722551199 Henry Cohn, 2026, needs more optimization.
13 747 0.486767959881 Henry Cohn, 2026, needs more optimization.
13 748 0.486770847630 Henry Cohn, 2026, needs more optimization.
13 749 0.486802603930 Henry Cohn, 2026, needs more optimization.
13 750 0.486881098434 Henry Cohn, 2026, needs more optimization.
13 751 0.486949461008 Henry Cohn, 2026, needs more optimization.
13 752 0.487054514496 Henry Cohn, 2026, needs more optimization.
13 753 0.487154535908 Henry Cohn, 2026, needs more optimization.
13 754 0.487189081308 Henry Cohn, 2026, needs more optimization.
13 755 0.487194793460 Henry Cohn, 2026, needs more optimization.
13 756 0.487251485666 Henry Cohn, 2026, needs more optimization.
13 757 0.487304054339 Henry Cohn, 2026, needs more optimization.
13 758 0.487428667300 Henry Cohn, 2026, needs more optimization.
13 759 0.487444098313 Henry Cohn, 2026, needs more optimization.
13 760 0.487499735876 Henry Cohn, 2026, needs more optimization.
13 761 0.487615887719 Henry Cohn, 2026, needs more optimization.
13 762 0.487640186774 Henry Cohn, 2026, needs more optimization.
13 763 0.487700462372 Henry Cohn, 2026, needs more optimization.
13 764 0.487744456724 Henry Cohn, 2026, needs more optimization.
13 765 0.487786824096 Henry Cohn, 2026, needs more optimization.
13 766 0.487824184644 Henry Cohn, 2026, needs more optimization.
13 767 0.487911047776 Henry Cohn, 2026, needs more optimization.
13 768 0.487986478694 Henry Cohn, 2026, needs more optimization.
13 769 0.488008327069 Henry Cohn, 2026, needs more optimization.
13 770 0.488038053289 Henry Cohn, 2026, needs more optimization.
13 771 0.488047914696 Henry Cohn, 2026, needs more optimization.
13 772 0.488058784461 Henry Cohn, 2026, needs more optimization.
13 773 0.488138157840 Henry Cohn, 2026, needs more optimization.
13 774 0.488146548843 Henry Cohn, 2026, needs more optimization.
13 775 0.488215560671 Henry Cohn, 2026, needs more optimization.
13 776 0.488225260411 Henry Cohn, 2026, needs more optimization.
13 777 0.488293330856 Henry Cohn, 2026, needs more optimization.
13 778 0.488383268088 Henry Cohn, 2026, needs more optimization.
13 779 0.488389256698 Henry Cohn, 2026, needs more optimization.
13 780 0.488509432646 Henry Cohn, 2026, needs more optimization.
13 781 0.488573146462 Henry Cohn, 2026, needs more optimization.
13 782 0.488601892733 Henry Cohn, 2026, needs more optimization.
13 783 0.488609196316 Henry Cohn, 2026, needs more optimization.
13 784 0.488676150478 Henry Cohn, 2026, needs more optimization.
13 785 0.488748558907 Henry Cohn, 2026, needs more optimization.
13 786 0.488757983871 Henry Cohn, 2026, needs more optimization.
13 787 0.488781381078 Henry Cohn, 2026, needs more optimization.
13 788 0.488861565386 Henry Cohn, 2026, needs more optimization.
13 789 0.488925128707 Henry Cohn, 2026, needs more optimization.
13 790 0.489095360594 Henry Cohn, 2026, needs more optimization.
13 791 0.489114139086 Henry Cohn, 2026, needs more optimization.
13 792 0.489148472518 Henry Cohn, 2026, needs more optimization.
13 793 0.489261223584 Henry Cohn, 2026, needs more optimization.
13 794 0.489298394610 Henry Cohn, 2026, needs more optimization.
13 795 0.489312850466 Henry Cohn, 2026, needs more optimization.
13 796 0.489319562116 Henry Cohn, 2026, needs more optimization.
13 797 0.489359501722 Henry Cohn, 2026, needs more optimization.
13 798 0.489378293024 Henry Cohn, 2026, needs more optimization.
13 799 0.489445876387 Henry Cohn, 2026, needs more optimization.
13 800 0.489453149055 Henry Cohn, 2026, needs more optimization.
13 801 0.489568409315 Henry Cohn, 2026, needs more optimization.
13 802 0.489571987355 Henry Cohn, 2026, needs more optimization.
13 803 0.489588096579 Henry Cohn, 2026, needs more optimization.
13 804 0.489595118272 Henry Cohn, 2026, needs more optimization.
13 805 0.489662786861 Henry Cohn, 2026, needs more optimization.
13 806 0.489735843812 Henry Cohn, 2026, needs more optimization.
13 807 0.489762064503 Henry Cohn, 2026, needs more optimization.
13 808 0.489850363668 Henry Cohn, 2026, needs more optimization.
13 809 0.489863998336 Henry Cohn, 2026, needs more optimization.
13 810 0.489959234080 Henry Cohn, 2026, needs more optimization.
13 811 0.489965457629 Henry Cohn, 2026, needs more optimization.
13 812 0.490084025540 Henry Cohn, 2026, needs more optimization.
13 813 0.490115086423 Henry Cohn, 2026, needs more optimization.
13 814 0.490172058008 Henry Cohn, 2026, needs more optimization.
13 815 0.490236326675 Henry Cohn, 2026, needs more optimization.
13 816 0.490295779070 Henry Cohn, 2026, needs more optimization.
13 817 0.490327509172 Henry Cohn, 2026, needs more optimization.
13 818 0.490443787012 Henry Cohn, 2026, needs more optimization.
13 819 0.490561698006 Henry Cohn, 2026, needs more optimization.
13 820 0.490728169767 Henry Cohn, 2026, needs more optimization.
13 821 0.490778550305 Henry Cohn, 2026, needs more optimization.
13 822 0.490869905110 Henry Cohn, 2026, needs more optimization.
13 823 0.490899741976 Henry Cohn, 2026, needs more optimization.
13 824 0.490904619284 Henry Cohn, 2026, needs more optimization.
13 825 0.490914329023 Henry Cohn, 2026, needs more optimization.
13 826 0.490954489668 Henry Cohn, 2026, needs more optimization.
13 827 0.490958805479 Henry Cohn, 2026, needs more optimization.
13 828 0.491064010603 Henry Cohn, 2026, needs more optimization.
13 829 0.491201760109 Henry Cohn, 2026, needs more optimization.
13 830 0.491282145928 Henry Cohn, 2026, needs more optimization.
13 831 0.491288522132 Henry Cohn, 2026, needs more optimization.
13 832 0.491356506396 Henry Cohn, 2026, needs more optimization.
13 833 0.491441803673 Henry Cohn, 2026, needs more optimization.
13 834 0.491495043929 Henry Cohn, 2026, needs more optimization.
13 835 0.491527146034 Henry Cohn, 2026, needs more optimization.
13 836 0.491538573204 Henry Cohn, 2026, needs more optimization.
13 837 0.491543686427 Henry Cohn, 2026, needs more optimization.
13 838 0.491626269313 Henry Cohn, 2026, needs more optimization.
13 839 0.491674564442 Henry Cohn, 2026, needs more optimization.
13 840 0.491697684144 Henry Cohn, 2026, needs more optimization.
13 841 0.491736982975 Henry Cohn, 2026, needs more optimization.
13 842 0.491758823189 Henry Cohn, 2026, needs more optimization.
13 843 0.491950592657 Henry Cohn, 2026, needs more optimization.
13 844 0.492047457049 Henry Cohn, 2026, needs more optimization.
13 845 0.492083251074 Henry Cohn, 2026, needs more optimization.
13 846 0.492114023745 Henry Cohn, 2026, needs more optimization.
13 847 0.492198199362 Henry Cohn, 2026, needs more optimization.
13 848 0.492299083882 Henry Cohn, 2026, needs more optimization.
13 849 0.492439812889 Henry Cohn, 2026, needs more optimization.
13 850 0.492647929980 Henry Cohn, 2026, needs more optimization.
13 851 0.492754474603 Henry Cohn, 2026, needs more optimization.
13 852 0.492839183064 Henry Cohn, 2026, needs more optimization.
13 853 0.492955203811 Henry Cohn, 2026, needs more optimization.
13 854 0.493098636460 Henry Cohn, 2026, needs more optimization.
13 856 0.493135852521 Henry Cohn, 2026, needs more optimization.
13 857 0.493426944380 Henry Cohn, 2026, needs more optimization.
13 858 0.493441417816 Henry Cohn, 2026, needs more optimization.
13 859 0.493466753841 Henry Cohn, 2026, needs more optimization.
13 860 0.493487409380 Henry Cohn, 2026, needs more optimization.
13 861 0.493505453646 Henry Cohn, 2026, needs more optimization.
13 862 0.493933721880 Henry Cohn, 2026, needs more optimization.
13 863 0.493973122851 Henry Cohn, 2026, needs more optimization.
13 864 0.494047047945 Henry Cohn, 2026, needs more optimization.
13 866 0.494432593983 Henry Cohn, 2026, needs more optimization.
13 867 0.494497555204 Henry Cohn, 2026, needs more optimization.
13 868 0.494518808340 Henry Cohn, 2026, needs more optimization.
13 869 0.494995148706 Henry Cohn, 2026, needs more optimization.
13 870 0.495020913952 Henry Cohn, 2026, needs more optimization.
13 871 0.495173558131 Henry Cohn, 2026, needs more optimization.
13 872 0.495378021995 Henry Cohn, 2026, needs more optimization.
13 873 0.495435159674 Henry Cohn, 2026, needs more optimization.
13 874 0.495448363827 Henry Cohn, 2026, needs more optimization.
13 876 0.495776128317 Henry Cohn, 2026, needs more optimization.
13 877 0.496160291407 Henry Cohn, 2026, needs more optimization.
13 878 0.496577042524 Henry Cohn, 2026, needs more optimization.
13 879 0.496872985254 Henry Cohn, 2026, needs more optimization.
13 880 0.496962463539 Henry Cohn, 2026, needs more optimization.
13 881 0.497089430044 Henry Cohn, 2026, needs more optimization.
13 882 0.497359715525 Henry Cohn, 2026, needs more optimization.
13 883 0.497474442726 Henry Cohn, 2026, needs more optimization.
13 884 0.497474722180 Henry Cohn, 2026, needs more optimization.
13 885 0.497499004937 Henry Cohn, 2026, needs more optimization.
13 886 0.497521393024 Henry Cohn, 2026, needs more optimization.
13 887 0.497956871588 Henry Cohn, 2026, needs more optimization.
13 888 0.497979564939 Henry Cohn, 2026, needs more optimization.
13 889 0.498004775428 Henry Cohn, 2026, needs more optimization.
13 890 0.498706036789 Henry Cohn, 2026, needs more optimization.
13 891 0.498723797798 Henry Cohn, 2026, needs more optimization.
13 892 0.498826914377 Henry Cohn, 2026, needs more optimization.
13 893 0.499214150710 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 0.127206627186 Henry Cohn, 2025.
14 54 0.135105967369 Henry Cohn, 2024.
14 55 0.136745922263 Henry Cohn, 2023.
14 56 0.139995758129 Henry Cohn, 2024.
14 57 0.142106619426 Henry Cohn, 2025.
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 0.184667025692 Henry Cohn, 2026, needs more optimization.
14 75 0.185110498562 Henry Cohn, 2026.
14 76 0.189883320249 Henry Cohn, 2026, needs more optimization.
14 77 0.190266040190 Henry Cohn, 2026, needs more optimization.
14 78 0.191437510213 Henry Cohn, 2026, needs more optimization.
14 79 0.193295826526 Henry Cohn, 2026, needs more optimization.
14 80 0.195567887108 Henry Cohn, 2026, needs more optimization.
14 81 0.198107314376 Henry Cohn, 2026, needs more optimization.
14 82 0.198235129158 Henry Cohn, 2026, needs more optimization.
14 83 0.198270163051 Henry Cohn, 2026, needs more optimization.
14 84 0.198299573208 Henry Cohn, 2026, needs more optimization.
14 85 0.198385443669 Henry Cohn, 2026, needs more optimization.
14 86 0.198455621150 Henry Cohn, 2026, needs more optimization.
14 87 0.198500455261 Henry Cohn, 2026, needs more optimization.
14 88 0.198573144765 Henry Cohn, 2026, needs more optimization.
14 89 0.198677096726 Henry Cohn, 2026, needs more optimization.
14 90 0.198771632430 Henry Cohn, 2026, needs more optimization.
14 91 0.198843416030 Henry Cohn, 2026, needs more optimization.
14 92 0.208456809641 Henry Cohn, 2026, needs more optimization.
14 93 0.211749206685 Henry Cohn, 2026, needs more optimization.
14 94 0.211903259023 Henry Cohn, 2026, needs more optimization.
14 95 0.212179543078 Henry Cohn, 2026, needs more optimization.
14 96 0.212295215604 Henry Cohn, 2026, needs more optimization.
14 98 0.212297015495 Henry Cohn, 2026, needs more optimization.
14 99 0.219108562493 Henry Cohn, 2026, needs more optimization.
14 100 0.223682381813 Henry Cohn, 2026, needs more optimization.
14 101 0.225613148985 Henry Cohn, 2026, needs more optimization.
14 102 0.228290445901 Henry Cohn, 2026, needs more optimization.
14 112 0.229910395528 Henry Cohn, 2026.
14 113 0.234902627893 Henry Cohn, 2026, needs more optimization.
14 114 0.237359837687 Henry Cohn, 2026, needs more optimization.
14 115 0.239305162774 Henry Cohn, 2026, needs more optimization.
14 116 0.240927683446 Henry Cohn, 2026, needs more optimization.
14 117 0.242363536881 Henry Cohn, 2026, needs more optimization.
14 118 0.244005874203 Henry Cohn, 2026, needs more optimization.
14 119 0.244891424842 Henry Cohn, 2026, needs more optimization.
14 120 0.245340349030 Henry Cohn, 2026, needs more optimization.
14 121 0.245811136405 Henry Cohn, 2026, needs more optimization.
14 122 0.249217889356 Henry Cohn, 2026, needs more optimization.
14 123 0.250352159837 Henry Cohn, 2026, needs more optimization.
14 124 0.251242938892 Henry Cohn, 2026, needs more optimization.
14 125 0.252284925644 Henry Cohn, 2026, needs more optimization.
14 126 0.253277127558 Henry Cohn, 2026, needs more optimization.
14 127 0.254058651002 Henry Cohn, 2026, needs more optimization.
14 128 0.254656731743 Henry Cohn, 2026, needs more optimization.
14 129 0.255353344739 Henry Cohn, 2026, needs more optimization.
14 130 0.255999875068 Henry Cohn, 2026, needs more optimization.
14 131 0.258382739285 Henry Cohn, 2026, needs more optimization.
14 132 0.261625264451 Henry Cohn, 2026, needs more optimization.
14 133 0.262928314390 Henry Cohn, 2026, needs more optimization.
14 134 0.264464652750 Henry Cohn, 2026, needs more optimization.
14 135 0.265740196449 Henry Cohn, 2026, needs more optimization.
14 136 0.266894239560 Henry Cohn, 2026, needs more optimization.
14 137 0.268271970638 Henry Cohn, 2026, needs more optimization.
14 138 0.269360778121 Henry Cohn, 2026, needs more optimization.
14 139 0.269360778123 Henry Cohn, 2026, needs more optimization.
14 140 0.269363487453 Henry Cohn, 2026, needs more optimization.
14 141 0.269364653587 Henry Cohn, 2026, needs more optimization.
14 142 0.269374502321 Henry Cohn, 2026, needs more optimization.
14 143 0.269376035718 Henry Cohn, 2026, needs more optimization.
14 144 0.269378581522 Henry Cohn, 2026, needs more optimization.
14 145 0.269385016413 Henry Cohn, 2026, needs more optimization.
14 146 0.269391352219 Henry Cohn, 2026, needs more optimization.
14 147 0.269406350518 Henry Cohn, 2026, needs more optimization.
14 148 0.269435946677 Henry Cohn, 2026, needs more optimization.
14 149 0.269470068873 Henry Cohn, 2026, needs more optimization.
14 150 0.269510093054 Henry Cohn, 2026, needs more optimization.
14 151 0.269752144181 Henry Cohn, 2026, needs more optimization.
14 152 0.269752144285 Henry Cohn, 2026, needs more optimization.
14 153 0.273185531222 Henry Cohn, 2026, needs more optimization.
14 154 0.273861278753 Henry Cohn, 2026.
40⁢x2−3
14 156 0.276322194182 Henry Cohn, 2026, needs more optimization.
14 157 0.276372455325 Henry Cohn, 2026, needs more optimization.
14 158 0.276419044697 Henry Cohn, 2026, needs more optimization.
14 159 0.276645025935 Henry Cohn, 2026, needs more optimization.
14 160 0.277042965484 Henry Cohn, 2026, needs more optimization.
14 161 0.277462604715 Henry Cohn, 2026, needs more optimization.
14 162 0.277834331208 Henry Cohn, 2026, needs more optimization.
14 163 0.278239418944 Henry Cohn, 2026, needs more optimization.
14 164 0.278745365039 Henry Cohn, 2026, needs more optimization.
14 165 0.279342784948 Henry Cohn, 2026, needs more optimization.
14 166 0.280063079944 Henry Cohn, 2026, needs more optimization.
14 167 0.284421495065 Henry Cohn, 2026, needs more optimization.
14 168 0.286572433133 Henry Cohn, 2026, needs more optimization.
14 169 0.287940917585 Henry Cohn, 2026, needs more optimization.
14 170 0.289218721610 Henry Cohn, 2026, needs more optimization.
14 171 0.290633178749 Henry Cohn, 2026, needs more optimization.
14 172 0.290681551352 Henry Cohn, 2026, needs more optimization.
14 173 0.290952095479 Henry Cohn, 2026, needs more optimization.
14 174 0.292005285762 Henry Cohn, 2026, needs more optimization.
14 175 0.293051049319 Henry Cohn, 2026, needs more optimization.
14 176 0.293771755728 Henry Cohn, 2026, needs more optimization.
14 177 0.294408007983 Henry Cohn, 2026, needs more optimization.
14 178 0.295414869197 Henry Cohn, 2026, needs more optimization.
14 179 0.295985003322 Henry Cohn, 2026, needs more optimization.
14 180 0.296637418692 Henry Cohn, 2026, needs more optimization.
14 181 0.297697534392 Henry Cohn, 2026, needs more optimization.
14 182 0.297711417623 Henry Cohn, 2026, needs more optimization.
14 183 0.297832427669 Henry Cohn, 2026, needs more optimization.
14 184 0.298059362114 Henry Cohn, 2026, needs more optimization.
14 185 0.298566352526 Henry Cohn, 2026, needs more optimization.
14 186 0.299330001882 Henry Cohn, 2026, needs more optimization.
14 187 0.299781979624 Henry Cohn, 2026, needs more optimization.
14 188 0.300677797825 Henry Cohn, 2026, needs more optimization.
14 189 0.301682449441 Henry Cohn, 2026, needs more optimization.
14 190 0.301802277751 Henry Cohn, 2026, needs more optimization.
14 191 0.302343387958 Henry Cohn, 2026, needs more optimization.
14 192 0.303611535326 Henry Cohn, 2026, needs more optimization.
14 193 0.304411271462 Henry Cohn, 2026, needs more optimization.
14 194 0.305386008633 Henry Cohn, 2026, needs more optimization.
14 195 0.306540276178 Henry Cohn, 2026, needs more optimization.
14 196 0.307856617628 Henry Cohn, 2026, needs more optimization.
14 197 0.308911677197 Henry Cohn, 2026, needs more optimization.
14 198 0.310108064412 Henry Cohn, 2026, needs more optimization.
14 199 0.310675176432 Henry Cohn, 2026, needs more optimization.
14 200 0.311235878990 Henry Cohn, 2026, needs more optimization.
14 201 0.312453273428 Henry Cohn, 2026, needs more optimization.
14 202 0.313545758001 Henry Cohn, 2026, needs more optimization.
14 203 0.313793051488 Henry Cohn, 2026, needs more optimization.
14 204 0.313844943449 Henry Cohn, 2026, needs more optimization.
14 205 0.314016868187 Henry Cohn, 2026, needs more optimization.
14 206 0.314280580427 Henry Cohn, 2026, needs more optimization.
14 207 0.314609990402 Henry Cohn, 2026, needs more optimization.
14 208 0.315014350851 Henry Cohn, 2026, needs more optimization.
14 209 0.315343401870 Henry Cohn, 2026, needs more optimization.
14 210 0.315611108752 Henry Cohn, 2026, needs more optimization.
14 211 0.315963184468 Henry Cohn, 2026, needs more optimization.
14 212 0.316395608324 Henry Cohn, 2026, needs more optimization.
14 213 0.317118881413 Henry Cohn, 2026, needs more optimization.
14 214 0.317568377435 Henry Cohn, 2026, needs more optimization.
14 215 0.318075813093 Henry Cohn, 2026, needs more optimization.
14 216 0.318932047929 Henry Cohn, 2026, needs more optimization.
14 217 0.319499861015 Henry Cohn, 2026, needs more optimization.
14 218 0.320060141032 Henry Cohn, 2026, needs more optimization.
14 219 0.320688251633 Henry Cohn, 2026, needs more optimization.
14 220 0.321047009669 Henry Cohn, 2026, needs more optimization.
14 221 0.321540260742 Henry Cohn, 2026, needs more optimization.
14 222 0.321925665932 Henry Cohn, 2026, needs more optimization.
14 223 0.322282342900 Henry Cohn, 2026, needs more optimization.
14 224 0.322800398022 Henry Cohn, 2026, needs more optimization.
14 225 0.323217541583 Henry Cohn, 2026, needs more optimization.
14 226 0.324023941378 Henry Cohn, 2026, needs more optimization.
14 227 0.324628662546 Henry Cohn, 2026, needs more optimization.
14 228 0.325279306068 Henry Cohn, 2026, needs more optimization.
14 229 0.325854185926 Henry Cohn, 2026, needs more optimization.
14 230 0.326410172364 Henry Cohn, 2026, needs more optimization.
14 231 0.326896481550 Henry Cohn, 2026, needs more optimization.
14 232 0.327532648834 Henry Cohn, 2026, needs more optimization.
14 233 0.328696135634 Henry Cohn, 2026, needs more optimization.
14 234 0.329429684628 Henry Cohn, 2026, needs more optimization.
14 235 0.330547859945 Henry Cohn, 2026, needs more optimization.
14 236 0.331742174093 Henry Cohn, 2026, needs more optimization.
14 237 0.333113714522 Henry Cohn, 2026, needs more optimization.
14 240 0.333333333334 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−1
14 252 0.333333333334 C. Ma, T. T. Zhaowei, 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
14 253 0.346559999774 Henry Cohn, 2026, needs more optimization.
14 254 0.346561221993 Henry Cohn, 2026, needs more optimization.
14 255 0.346584502671 Henry Cohn, 2026, needs more optimization.
14 256 0.346630541216 Henry Cohn, 2026, needs more optimization.
14 257 0.346818864266 Henry Cohn, 2026, needs more optimization.
14 258 0.347236731506 Henry Cohn, 2026, needs more optimization.
14 259 0.347258884595 Henry Cohn, 2026, needs more optimization.
14 260 0.347325597157 Henry Cohn, 2026, needs more optimization.
14 261 0.347389476029 Henry Cohn, 2026, needs more optimization.
14 262 0.347547997065 Henry Cohn, 2026, needs more optimization.
14 263 0.347765814475 Henry Cohn, 2026, needs more optimization.
14 264 0.348086610872 Henry Cohn, 2026, needs more optimization.
14 265 0.348211912669 Henry Cohn, 2026, needs more optimization.
14 266 0.348684967281 Henry Cohn, 2026, needs more optimization.
14 267 0.349031830811 Henry Cohn, 2026, needs more optimization.
14 268 0.349144864373 Henry Cohn, 2026, needs more optimization.
14 269 0.349223104257 Henry Cohn, 2026, needs more optimization.
14 270 0.349527037385 Henry Cohn, 2026, needs more optimization.
14 271 0.350120298332 Henry Cohn, 2026, needs more optimization.
14 272 0.350637011024 Henry Cohn, 2026, needs more optimization.
14 273 0.351125313335 Henry Cohn, 2026, needs more optimization.
14 274 0.351406083376 Henry Cohn, 2026, needs more optimization.
14 275 0.351717919165 Henry Cohn, 2026, needs more optimization.
14 276 0.352032733456 Henry Cohn, 2026, needs more optimization.
14 277 0.352287428077 Henry Cohn, 2026, needs more optimization.
14 278 0.352366116000 Henry Cohn, 2026, needs more optimization.
14 279 0.352631360352 Henry Cohn, 2026, needs more optimization.
14 280 0.352754627847 Henry Cohn, 2026, needs more optimization.
14 281 0.353074887525 Henry Cohn, 2026, needs more optimization.
14 282 0.353353798561 Henry Cohn, 2026, needs more optimization.
14 283 0.353608603788 Henry Cohn, 2026, needs more optimization.
14 284 0.353885795218 Henry Cohn, 2026, needs more optimization.
14 285 0.353933886162 Henry Cohn, 2026, needs more optimization.
14 286 0.354095507613 Henry Cohn, 2026, needs more optimization.
14 287 0.354181944093 Henry Cohn, 2026, needs more optimization.
14 288 0.354483961973 Henry Cohn, 2026, needs more optimization.
14 289 0.354563947145 Henry Cohn, 2026, needs more optimization.
14 290 0.354591514189 Henry Cohn, 2026, needs more optimization.
14 291 0.354604224125 Henry Cohn, 2026, needs more optimization.
14 292 0.354617053776 Henry Cohn, 2026, needs more optimization.
14 293 0.354693709479 Henry Cohn, 2026, needs more optimization.
14 294 0.354727004150 Henry Cohn, 2026, needs more optimization.
14 295 0.354877778021 Henry Cohn, 2026, needs more optimization.
14 296 0.354990842381 Henry Cohn, 2026, needs more optimization.
14 297 0.355078827749 Henry Cohn, 2026, needs more optimization.
14 330 0.355080331926 Henry Cohn, 2026, needs more optimization.
14 334 0.355083090969 Henry Cohn, 2026, needs more optimization.
14 335 0.355084810391 Henry Cohn, 2026, needs more optimization.
14 336 0.355128433051 Henry Cohn, 2026, needs more optimization.
14 337 0.355144064747 Henry Cohn, 2026, needs more optimization.
14 338 0.355290306376 Henry Cohn, 2026, needs more optimization.
14 339 0.355972265464 Henry Cohn, 2026, needs more optimization.
14 340 0.357518864002 Henry Cohn, 2026, needs more optimization.
14 341 0.358556755592 Henry Cohn, 2026, needs more optimization.
14 342 0.358593670627 Henry Cohn, 2026, needs more optimization.
14 343 0.358652087914 Henry Cohn, 2026, needs more optimization.
14 344 0.360284837728 Henry Cohn, 2026, needs more optimization.
14 345 0.360793033197 Henry Cohn, 2026, needs more optimization.
14 346 0.362929060596 Henry Cohn, 2026, needs more optimization.
14 347 0.365298428038 Henry Cohn, 2026, needs more optimization.
14 348 0.365718620442 Henry Cohn, 2026, needs more optimization.
14 349 0.366711403610 Henry Cohn, 2026, needs more optimization.
14 350 0.367171967096 Henry Cohn, 2026, needs more optimization.
14 351 0.367282649938 Henry Cohn, 2026, needs more optimization.
14 352 0.367366581391 Henry Cohn, 2026, needs more optimization.
14 353 0.368227135517 Henry Cohn, 2026, needs more optimization.
14 354 0.369650989600 Henry Cohn, 2026, needs more optimization.
14 355 0.370513411715 Henry Cohn, 2026, needs more optimization.
14 356 0.371305084071 Henry Cohn, 2026, needs more optimization.
14 357 0.372035027871 Henry Cohn, 2026, needs more optimization.
14 358 0.374165532482 Henry Cohn, 2026, needs more optimization.
14 359 0.374865567514 Henry Cohn, 2026, needs more optimization.
14 360 0.375355839418 Henry Cohn, 2026, needs more optimization.
14 361 0.377660215870 Henry Cohn, 2026, needs more optimization.
14 362 0.377665585765 Henry Cohn, 2026, needs more optimization.
14 363 0.377677862324 Henry Cohn, 2026, needs more optimization.
14 364 0.377682003475 Henry Cohn, 2026, needs more optimization.
14 365 0.378091598730 Henry Cohn, 2026, needs more optimization.
14 366 0.378177242941 Henry Cohn, 2026, needs more optimization.
14 367 0.378182535266 Henry Cohn, 2026, needs more optimization.
14 368 0.378233122724 Henry Cohn, 2026, needs more optimization.
14 369 0.378239583293 Henry Cohn, 2026, needs more optimization.
14 370 0.378249639435 Henry Cohn, 2026, needs more optimization.
14 371 0.378584072281 Henry Cohn, 2026, needs more optimization.
14 372 0.379389130469 Henry Cohn, 2026, needs more optimization.
14 373 0.379393813227 Henry Cohn, 2026, needs more optimization.
14 374 0.379399085733 Henry Cohn, 2026, needs more optimization.
14 375 0.379408660596 Henry Cohn, 2026, needs more optimization.
14 376 0.379423571389 Henry Cohn, 2026, needs more optimization.
14 377 0.381679254355 Henry Cohn, 2026, needs more optimization.
14 378 0.381685745371 Henry Cohn, 2026, needs more optimization.
14 379 0.381687672370 Henry Cohn, 2026, needs more optimization.
14 380 0.381689838614 Henry Cohn, 2026, needs more optimization.
14 381 0.381692210641 Henry Cohn, 2026, needs more optimization.
14 382 0.381694664081 Henry Cohn, 2026, needs more optimization.
14 383 0.381701707757 Henry Cohn, 2026, needs more optimization.
14 384 0.381704197992 Henry Cohn, 2026, needs more optimization.
14 385 0.381796724565 Henry Cohn, 2026, needs more optimization.
14 386 0.381813638591 Henry Cohn, 2026, needs more optimization.
14 387 0.381972933685 Henry Cohn, 2026, needs more optimization.
14 388 0.383679667021 Henry Cohn, 2026, needs more optimization.
14 389 0.384366853372 Henry Cohn, 2026, needs more optimization.
14 390 0.384779330224 Henry Cohn, 2026, needs more optimization.
14 391 0.385282354862 Henry Cohn, 2026, needs more optimization.
14 392 0.385348277151 Henry Cohn, 2026, needs more optimization.
14 393 0.385423875957 Henry Cohn, 2026, needs more optimization.
14 394 0.385555520071 Henry Cohn, 2026, needs more optimization.
14 395 0.385591948438 Henry Cohn, 2026, needs more optimization.
14 396 0.385631308931 Henry Cohn, 2026, needs more optimization.
14 397 0.385656390805 Henry Cohn, 2026, needs more optimization.
14 398 0.385668178957 Henry Cohn, 2026, needs more optimization.
14 399 0.387471506477 Henry Cohn, 2026, needs more optimization.
14 400 0.387725888321 Henry Cohn, 2026, needs more optimization.
14 401 0.387729161883 Henry Cohn, 2026, needs more optimization.
14 402 0.388276590383 Henry Cohn, 2026, needs more optimization.
14 403 0.389270288266 Henry Cohn, 2026, needs more optimization.
14 404 0.389308742986 Henry Cohn, 2026, needs more optimization.
14 405 0.389406997952 Henry Cohn, 2026, needs more optimization.
14 406 0.389465272881 Henry Cohn, 2026, needs more optimization.
14 407 0.389515605565 Henry Cohn, 2026, needs more optimization.
14 408 0.389606285689 Henry Cohn, 2026, needs more optimization.
14 409 0.389619446736 Henry Cohn, 2026, needs more optimization.
14 410 0.390114425226 Henry Cohn, 2026, needs more optimization.
14 411 0.390238226659 Henry Cohn, 2026, needs more optimization.
14 412 0.390281816564 Henry Cohn, 2026, needs more optimization.
14 413 0.390448968333 Henry Cohn, 2026, needs more optimization.
14 414 0.390611298331 Henry Cohn, 2026, needs more optimization.
14 415 0.390859588640 Henry Cohn, 2026, needs more optimization.
14 435 0.391891891892 Henry Cohn, 2026.
74⁢x−29
14 436 0.394834515706 Henry Cohn, 2026, needs more optimization.
14 437 0.395907755260 Henry Cohn, 2026, needs more optimization.
14 438 0.396551654045 Henry Cohn, 2026, needs more optimization.
14 439 0.396990293443 Henry Cohn, 2026, needs more optimization.
14 440 0.397346809347 Henry Cohn, 2026, needs more optimization.
14 441 0.397630186161 Henry Cohn, 2026, needs more optimization.
14 442 0.398093258442 Henry Cohn, 2026, needs more optimization.
14 443 0.398792073490 Henry Cohn, 2026, needs more optimization.
14 444 0.399267234038 Henry Cohn, 2026, needs more optimization.
14 445 0.399602601157 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
14 495 0.4 Henry Cohn, 2026.
5⁢x−2
14 496 0.401626896901 Henry Cohn, 2026, needs more optimization.
14 497 0.403428766758 Henry Cohn, 2026, needs more optimization.
14 498 0.408799858785 Henry Cohn, 2026, needs more optimization.
14 499 0.408999095139 Henry Cohn, 2026, needs more optimization.
14 500 0.409195650847 Henry Cohn, 2026, needs more optimization.
14 501 0.409646172766 Henry Cohn, 2026, needs more optimization.
14 502 0.410582302327 Henry Cohn, 2026, needs more optimization.
14 503 0.412609481975 Henry Cohn, 2026, needs more optimization.
14 504 0.414210889819 Henry Cohn, 2026, needs more optimization.
14 505 0.414856650601 Henry Cohn, 2026, needs more optimization.
14 506 0.416107040166 Henry Cohn, 2026, needs more optimization.
14 507 0.417915495488 Henry Cohn, 2026, needs more optimization.
14 508 0.418500607332 Henry Cohn, 2026, needs more optimization.
14 509 0.419513762608 Henry Cohn, 2026, needs more optimization.
14 510 0.419697175138 Henry Cohn, 2026, needs more optimization.
14 511 0.420924033748 Henry Cohn, 2026, needs more optimization.
14 512 0.421051707938 Henry Cohn, 2026, needs more optimization.
14 513 0.421217888857 Henry Cohn, 2026, needs more optimization.
14 514 0.421727792757 Henry Cohn, 2026, needs more optimization.
14 515 0.422311629548 Henry Cohn, 2026, needs more optimization.
14 516 0.422498872712 Henry Cohn, 2026, needs more optimization.
14 517 0.422997545192 Henry Cohn, 2026, needs more optimization.
14 555 0.423076923077 Henry Cohn, 2026.
26⁢x−11
14 558 0.423243452118 Henry Cohn, 2026, needs more optimization.
14 559 0.427444761790 Henry Cohn, 2026, needs more optimization.
14 560 0.427997393452 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 0.429745873879 Henry Cohn, 2026, needs more optimization.
14 602 0.430055350637 Henry Cohn, 2026, needs more optimization.
14 603 0.430223291328 Henry Cohn, 2026, needs more optimization.
14 604 0.430588050149 Henry Cohn, 2026, needs more optimization.
14 605 0.430986695666 Henry Cohn, 2026, needs more optimization.
14 606 0.431127301073 Henry Cohn, 2026, needs more optimization.
14 607 0.431172970954 Henry Cohn, 2026, needs more optimization.
14 608 0.431348085107 Henry Cohn, 2026, needs more optimization.
14 609 0.431490204911 Henry Cohn, 2026, needs more optimization.
14 610 0.431598659925 Henry Cohn, 2026, needs more optimization.
14 611 0.431620284102 Henry Cohn, 2026, needs more optimization.
14 612 0.432123318479 Henry Cohn, 2026, needs more optimization.
14 613 0.432212565448 Henry Cohn, 2026, needs more optimization.
14 614 0.432258293591 Henry Cohn, 2026, needs more optimization.
14 615 0.432786927868 Henry Cohn, 2026, needs more optimization.
14 616 0.432822193196 Henry Cohn, 2026, needs more optimization.
14 617 0.432841771989 Henry Cohn, 2026, needs more optimization.
14 618 0.432862334850 Henry Cohn, 2026, needs more optimization.
14 619 0.432910259888 Henry Cohn, 2026, needs more optimization.
14 620 0.432940273816 Henry Cohn, 2026, needs more optimization.
14 621 0.432962808119 Henry Cohn, 2026, needs more optimization.
14 622 0.432994850512 Henry Cohn, 2026, needs more optimization.
14 623 0.433030091917 Henry Cohn, 2026, needs more optimization.
14 624 0.433078378786 Henry Cohn, 2026, needs more optimization.
14 625 0.433118713853 Henry Cohn, 2026, needs more optimization.
14 626 0.433169489039 Henry Cohn, 2026, needs more optimization.
14 627 0.433215059834 Henry Cohn, 2026, needs more optimization.
14 628 0.433478533156 Henry Cohn, 2026, needs more optimization.
14 629 0.433497008716 Henry Cohn, 2026, needs more optimization.
14 630 0.433541786155 Henry Cohn, 2026, needs more optimization.
14 631 0.433597823416 Henry Cohn, 2026, needs more optimization.
14 632 0.433642861053 Henry Cohn, 2026, needs more optimization.
14 633 0.433684553968 Henry Cohn, 2026, needs more optimization.
14 634 0.433708710810 Henry Cohn, 2026, needs more optimization.
14 635 0.433775963299 Henry Cohn, 2026, needs more optimization.
14 636 0.433803487871 Henry Cohn, 2026, needs more optimization.
14 637 0.433855300338 Henry Cohn, 2026, needs more optimization.
14 638 0.433909498296 Henry Cohn, 2026, needs more optimization.
14 639 0.433916540860 Henry Cohn, 2026, needs more optimization.
14 640 0.434143115851 Henry Cohn, 2026, needs more optimization.
14 641 0.434179485607 Henry Cohn, 2026, needs more optimization.
14 642 0.434187192484 Henry Cohn, 2026, needs more optimization.
14 643 0.451413250375 Henry Cohn, 2026, needs more optimization.
14 644 0.451414054287 Henry Cohn, 2026, needs more optimization.
14 645 0.451415179762 Henry Cohn, 2026, needs more optimization.
14 646 0.451416124836 Henry Cohn, 2026, needs more optimization.
14 647 0.451500848459 Henry Cohn, 2026, needs more optimization.
14 648 0.451502213793 Henry Cohn, 2026, needs more optimization.
14 649 0.451507465512 Henry Cohn, 2026, needs more optimization.
14 650 0.451513140470 Henry Cohn, 2026, needs more optimization.
14 651 0.451546858994 Henry Cohn, 2026, needs more optimization.
14 652 0.451557091247 Henry Cohn, 2026, needs more optimization.
14 653 0.451558742315 Henry Cohn, 2026, needs more optimization.
14 654 0.451584907214 Henry Cohn, 2026, needs more optimization.
14 655 0.451591060343 Henry Cohn, 2026, needs more optimization.
14 656 0.451602213605 Henry Cohn, 2026, needs more optimization.
14 657 0.451603867362 Henry Cohn, 2026, needs more optimization.
14 658 0.451616255023 Henry Cohn, 2026, needs more optimization.
14 659 0.451618605131 Henry Cohn, 2026, needs more optimization.
14 660 0.451625783057 Henry Cohn, 2026, needs more optimization.
14 661 0.451739174446 Henry Cohn, 2026, needs more optimization.
14 662 0.451791353467 Henry Cohn, 2026, needs more optimization.
14 663 0.451835495422 Henry Cohn, 2026, needs more optimization.
14 664 0.451863096188 Henry Cohn, 2026, needs more optimization.
14 665 0.451911414017 Henry Cohn, 2026, needs more optimization.
14 666 0.451956857071 Henry Cohn, 2026, needs more optimization.
14 667 0.452016867631 Henry Cohn, 2026, needs more optimization.
14 668 0.452054273294 Henry Cohn, 2026, needs more optimization.
14 669 0.452175742341 Henry Cohn, 2026, needs more optimization.
14 670 0.452237116209 Henry Cohn, 2026, needs more optimization.
14 671 0.452404650194 Henry Cohn, 2026, needs more optimization.
14 672 0.452536501099 Henry Cohn, 2026, needs more optimization.
14 673 0.452639097100 Henry Cohn, 2026, needs more optimization.
14 674 0.453057144212 Henry Cohn, 2026, needs more optimization.
14 675 0.453134283522 Henry Cohn, 2026, needs more optimization.
14 676 0.453192725428 Henry Cohn, 2026, needs more optimization.
14 677 0.453203411862 Henry Cohn, 2026, needs more optimization.
14 678 0.453255334471 Henry Cohn, 2026, needs more optimization.
14 679 0.453339054283 Henry Cohn, 2026, needs more optimization.
14 680 0.453384884477 Henry Cohn, 2026, needs more optimization.
14 681 0.453419250088 Henry Cohn, 2026, needs more optimization.
14 682 0.453467577894 Henry Cohn, 2026, needs more optimization.
14 683 0.453507669933 Henry Cohn, 2026, needs more optimization.
14 684 0.453658166068 Henry Cohn, 2026, needs more optimization.
14 685 0.453730558794 Henry Cohn, 2026, needs more optimization.
14 686 0.453755856029 Henry Cohn, 2026, needs more optimization.
14 687 0.453760121249 Henry Cohn, 2026, needs more optimization.
14 688 0.453845061677 Henry Cohn, 2026, needs more optimization.
14 689 0.453924885747 Henry Cohn, 2026, needs more optimization.
14 690 0.454049883290 Henry Cohn, 2026, needs more optimization.
14 691 0.454070846538 Henry Cohn, 2026, needs more optimization.
14 692 0.454114844211 Henry Cohn, 2026, needs more optimization.
14 693 0.454152694167 Henry Cohn, 2026, needs more optimization.
14 694 0.454200875307 Henry Cohn, 2026, needs more optimization.
14 695 0.454273153474 Henry Cohn, 2026, needs more optimization.
14 696 0.454285444728 Henry Cohn, 2026, needs more optimization.
14 697 0.454345974808 Henry Cohn, 2026, needs more optimization.
14 698 0.454370921237 Henry Cohn, 2026, needs more optimization.
14 699 0.454396354445 Henry Cohn, 2026, needs more optimization.
14 700 0.454409649656 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 0.454719198234 Henry Cohn, 2026, needs more optimization.
14 898 0.454817872934 Henry Cohn, 2026, needs more optimization.
14 899 0.454841719871 Henry Cohn, 2026, needs more optimization.
14 900 0.454885992864 Henry Cohn, 2026, needs more optimization.
14 901 0.454907666638 Henry Cohn, 2026, needs more optimization.
14 902 0.454950598166 Henry Cohn, 2026, needs more optimization.
14 903 0.454976430833 Henry Cohn, 2026, needs more optimization.
14 904 0.455053272682 Henry Cohn, 2026, needs more optimization.
14 905 0.455088977716 Henry Cohn, 2026, needs more optimization.
14 906 0.455096813304 Henry Cohn, 2026, needs more optimization.
14 907 0.455108620016 Henry Cohn, 2026, needs more optimization.
14 908 0.455120356347 Henry Cohn, 2026, needs more optimization.
14 909 0.455140013548 Henry Cohn, 2026, needs more optimization.
14 910 0.455157729415 Henry Cohn, 2026, needs more optimization.
14 911 0.455174836117 Henry Cohn, 2026, needs more optimization.
14 912 0.455185565511 Henry Cohn, 2026, needs more optimization.
14 913 0.455196742333 Henry Cohn, 2026, needs more optimization.
14 914 0.455210034329 Henry Cohn, 2026, needs more optimization.
14 915 0.455223517771 Henry Cohn, 2026, needs more optimization.
14 916 0.455247637709 Henry Cohn, 2026, needs more optimization.
14 917 0.455260189606 Henry Cohn, 2026, needs more optimization.
14 918 0.455284504637 Henry Cohn, 2026, needs more optimization.
14 919 0.455314358119 Henry Cohn, 2026, needs more optimization.
14 920 0.455326689867 Henry Cohn, 2026, needs more optimization.
14 921 0.455339853795 Henry Cohn, 2026, needs more optimization.
14 922 0.455345423926 Henry Cohn, 2026, needs more optimization.
14 924 0.455349171804 Henry Cohn, 2026, needs more optimization.
14 925 0.455351537723 Henry Cohn, 2026, needs more optimization.
14 926 0.455358896413 Henry Cohn, 2026, needs more optimization.
14 927 0.455366453145 Henry Cohn, 2026, needs more optimization.
14 928 0.455369387330 Henry Cohn, 2026, needs more optimization.
14 929 0.455374081578 Henry Cohn, 2026, needs more optimization.
14 930 0.455378882411 Henry Cohn, 2026, needs more optimization.
14 931 0.455380847317 Henry Cohn, 2026, needs more optimization.
14 932 0.455388143438 Henry Cohn, 2026, needs more optimization.
14 933 0.455393806318 Henry Cohn, 2026, needs more optimization.
14 934 0.455395236754 Henry Cohn, 2026, needs more optimization.
14 935 0.455397379524 Henry Cohn, 2026, needs more optimization.
14 936 0.455402841336 Henry Cohn, 2026, needs more optimization.
14 937 0.455408675534 Henry Cohn, 2026, needs more optimization.
14 938 0.455413257812 Henry Cohn, 2026, needs more optimization.
14 939 0.455419313207 Henry Cohn, 2026, needs more optimization.
14 940 0.455425118727 Henry Cohn, 2026, needs more optimization.
14 941 0.455429276027 Henry Cohn, 2026, needs more optimization.
14 942 0.455435411346 Henry Cohn, 2026, needs more optimization.
14 943 0.455440550119 Henry Cohn, 2026, needs more optimization.
14 944 0.455446818148 Henry Cohn, 2026, needs more optimization.
14 945 0.455450900106 Henry Cohn, 2026, needs more optimization.
14 946 0.455457025616 Henry Cohn, 2026, needs more optimization.
14 947 0.455459871696 Henry Cohn, 2026, needs more optimization.
14 948 0.455469386987 Henry Cohn, 2026, needs more optimization.
14 949 0.455473216803 Henry Cohn, 2026, needs more optimization.
14 950 0.455477645768 Henry Cohn, 2026, needs more optimization.
14 951 0.455486008927 Henry Cohn, 2026, needs more optimization.
14 952 0.455493218185 Henry Cohn, 2026, needs more optimization.
14 953 0.455498726210 Henry Cohn, 2026, needs more optimization.
14 954 0.455509117681 Henry Cohn, 2026, needs more optimization.
14 955 0.455512657812 Henry Cohn, 2026, needs more optimization.
14 956 0.455534335290 Henry Cohn, 2026, needs more optimization.
14 957 0.455540241388 Henry Cohn, 2026, needs more optimization.
14 958 0.455546639329 Henry Cohn, 2026, needs more optimization.
14 959 0.455553967478 Henry Cohn, 2026, needs more optimization.
14 960 0.455557205263 Henry Cohn, 2026, needs more optimization.
14 961 0.455563237992 Henry Cohn, 2026, needs more optimization.
14 962 0.455568083544 Henry Cohn, 2026, needs more optimization.
14 963 0.455577354830 Henry Cohn, 2026, needs more optimization.
14 964 0.455585771683 Henry Cohn, 2026, needs more optimization.
14 965 0.455592710913 Henry Cohn, 2026, needs more optimization.
14 966 0.455598891046 Henry Cohn, 2026, needs more optimization.
14 967 0.455603819071 Henry Cohn, 2026, needs more optimization.
14 968 0.455610032057 Henry Cohn, 2026, needs more optimization.
14 969 0.455612698212 Henry Cohn, 2026, needs more optimization.
14 970 0.455616300651 Henry Cohn, 2026, needs more optimization.
14 971 0.455626379572 Henry Cohn, 2026, needs more optimization.
14 972 0.455632026554 Henry Cohn, 2026, needs more optimization.
14 973 0.455636034266 Henry Cohn, 2026, needs more optimization.
14 974 0.455640320563 Henry Cohn, 2026, needs more optimization.
14 975 0.455647040535 Henry Cohn, 2026, needs more optimization.
14 976 0.455654548525 Henry Cohn, 2026, needs more optimization.
14 979 0.456272883596 Henry Cohn, 2026, needs more optimization.
14 980 0.456273077561 Henry Cohn, 2026, needs more optimization.
14 981 0.456274808763 Henry Cohn, 2026, needs more optimization.
14 982 0.456275140877 Henry Cohn, 2026, needs more optimization.
14 983 0.456277323983 Henry Cohn, 2026, needs more optimization.
14 985 0.456279795868 Henry Cohn, 2026, needs more optimization.
14 986 0.456281992801 Henry Cohn, 2026, needs more optimization.
14 987 0.456282899369 Henry Cohn, 2026, needs more optimization.
14 988 0.456283651751 Henry Cohn, 2026, needs more optimization.
14 989 0.456284622344 Henry Cohn, 2026, needs more optimization.
14 990 0.456286694747 Henry Cohn, 2026, needs more optimization.
14 991 0.456288847898 Henry Cohn, 2026, needs more optimization.
14 992 0.456289202594 Henry Cohn, 2026, needs more optimization.
14 993 0.456289301392 Henry Cohn, 2026, needs more optimization.
14 994 0.456290233859 Henry Cohn, 2026, needs more optimization.
14 995 0.456294217478 Henry Cohn, 2026, needs more optimization.
14 996 0.456295331815 Henry Cohn, 2026, needs more optimization.
14 999 0.456299648874 Henry Cohn, 2026, needs more optimization.
14 1002 0.456304059488 Henry Cohn, 2026, needs more optimization.
14 1003 0.456305516592 Henry Cohn, 2026, needs more optimization.
14 1006 0.456306185707 Henry Cohn, 2026, needs more optimization.
14 1007 0.456307684094 Henry Cohn, 2026, needs more optimization.
14 1008 0.456307864093 Henry Cohn, 2026, needs more optimization.
14 1009 0.456311149046 Henry Cohn, 2026, needs more optimization.
14 1010 0.456313487429 Henry Cohn, 2026, needs more optimization.
14 1011 0.456315367131 Henry Cohn, 2026, needs more optimization.
14 1012 0.456315696252 Henry Cohn, 2026, needs more optimization.
14 1015 0.456317317579 Henry Cohn, 2026, needs more optimization.
14 1016 0.457549967733 Henry Cohn, 2026, needs more optimization.
14 1017 0.457552363580 Henry Cohn, 2026, needs more optimization.
14 1018 0.457554380023 Henry Cohn, 2026, needs more optimization.
14 1019 0.457559618085 Henry Cohn, 2026, needs more optimization.
14 1020 0.457566402411 Henry Cohn, 2026, needs more optimization.
14 1021 0.457575374184 Henry Cohn, 2026, needs more optimization.
14 1022 0.457582487453 Henry Cohn, 2026, needs more optimization.
14 1023 0.457587190989 Henry Cohn, 2026, needs more optimization.
14 1024 0.457591858549 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 0.093058708471 Henry Cohn, 2026.
15 42 0.096809796022 Henry Cohn, 2023.
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 0.112519700675 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 0.119568772343 Henry Cohn, 2025.
15 61 0.128458591981 Henry Cohn, 2025.
263⁢x2−26⁢x−1
15 62 0.129608604388 Henry Cohn, 2026.
15 63 0.129675303921 Henry Cohn, 2026, needs more optimization.
15 64 0.129676245976 Henry Cohn, 2025, needs more optimization.
15 65 0.129676247045 Henry Cohn, 2026, needs more optimization.
15 66 0.142849849465 Henry Cohn, 2025.
15 67 0.144353409494 Henry Cohn, 2023.
15 68 0.146740451793 Henry Cohn, 2026.
15 69 0.160033734974 Henry Cohn, 2024.
15 70 0.160964563056 Henry Cohn, 2024.
15 73 0.161462093425 Henry Cohn, 2026.
15 76 0.168269539561 Henry Cohn, 2026, needs more optimization.
15 78 0.168276893032 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 0.186858652290 Henry Cohn, 2026.
15 95 0.187077042680 Henry Cohn, 2026, needs more optimization.
15 96 0.187887288776 Henry Cohn, 2026, needs more optimization.
15 98 0.188666328568 Henry Cohn, 2026, needs more optimization.
15 99 0.188666328574 Henry Cohn, 2026, needs more optimization.
15 100 0.189749453131 Henry Cohn, 2026, needs more optimization.
15 101 0.197672143282 Henry Cohn, 2026, needs more optimization.
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.
15 130 0.216448819023 Henry Cohn, 2026, needs more optimization.
15 131 0.219817823026 Henry Cohn, 2026, needs more optimization.
15 132 0.221692066424 Henry Cohn, 2026, needs more optimization.
15 135 0.223068626266 Henry Cohn, 2026, needs more optimization.
15 136 0.225990151252 Henry Cohn, 2026.
15 137 0.226886293255 Henry Cohn, 2026, needs more optimization.
15 142 0.227160244714 Henry Cohn, 2026.
15 143 0.232249452636 Henry Cohn, 2026, needs more optimization.
15 144 0.235179709766 Henry Cohn, 2026, needs more optimization.
15 145 0.237559868386 Henry Cohn, 2026, needs more optimization.
15 146 0.238721219437 Henry Cohn, 2026, needs more optimization.
15 147 0.238762614057 Henry Cohn, 2026, needs more optimization.
15 150 0.239558257206 Henry Cohn, 2026, needs more optimization.
15 151 0.239558342670 Henry Cohn, 2026, needs more optimization.
15 152 0.244616813220 Henry Cohn, 2026, needs more optimization.
15 153 0.245471359633 Henry Cohn, 2026, needs more optimization.
15 156 0.248124762896 Henry Cohn, 2026, needs more optimization.
15 157 0.249069470433 Henry Cohn, 2026.
15 158 0.253987633701 Henry Cohn, 2026, needs more optimization.
15 159 0.254474464845 Henry Cohn, 2026, needs more optimization.
15 160 0.254877411534 Henry Cohn, 2026, needs more optimization.
15 161 0.255435868248 Henry Cohn, 2026, needs more optimization.
15 162 0.256445827580 Henry Cohn, 2026, needs more optimization.
15 163 0.257093015917 Henry Cohn, 2026, needs more optimization.
15 164 0.257359308774 Henry Cohn, 2026, needs more optimization.
15 165 0.257391616061 Henry Cohn, 2026, needs more optimization.
15 166 0.257476235366 Henry Cohn, 2026, needs more optimization.
15 167 0.257676625355 Henry Cohn, 2026, needs more optimization.
15 168 0.257853480086 Henry Cohn, 2026, needs more optimization.
15 169 0.258096235294 Henry Cohn, 2026, needs more optimization.
15 170 0.258179090726 Henry Cohn, 2026, needs more optimization.
15 171 0.258378495379 Henry Cohn, 2026, needs more optimization.
15 172 0.258514309980 Henry Cohn, 2026, needs more optimization.
15 173 0.258642110145 Henry Cohn, 2026, needs more optimization.
15 174 0.258728233010 Henry Cohn, 2026, needs more optimization.
15 175 0.259111087680 Henry Cohn, 2026, needs more optimization.
15 176 0.259187685513 Henry Cohn, 2026, needs more optimization.
15 177 0.259700824040 Henry Cohn, 2026, needs more optimization.
15 178 0.259958289957 Henry Cohn, 2026, needs more optimization.
15 179 0.260069112452 Henry Cohn, 2026, needs more optimization.
15 180 0.260071738767 Henry Cohn, 2026, needs more optimization.
15 181 0.260078826482 Henry Cohn, 2026, needs more optimization.
15 182 0.260107832057 Henry Cohn, 2026, needs more optimization.
15 183 0.260128334592 Henry Cohn, 2026, needs more optimization.
15 184 0.260236772722 Henry Cohn, 2026, needs more optimization.
15 185 0.260320202562 Henry Cohn, 2026, needs more optimization.
15 186 0.260378067225 Henry Cohn, 2026, needs more optimization.
15 187 0.260799388304 Henry Cohn, 2026, needs more optimization.
15 188 0.261524822205 Henry Cohn, 2026, needs more optimization.
15 189 0.261958685146 Henry Cohn, 2026, needs more optimization.
15 190 0.262366848503 Henry Cohn, 2026, needs more optimization.
15 191 0.262528959872 Henry Cohn, 2026, needs more optimization.
15 192 0.262930705652 Henry Cohn, 2026, needs more optimization.
15 193 0.263167012146 Henry Cohn, 2026, needs more optimization.
15 194 0.263494519984 Henry Cohn, 2026, needs more optimization.
15 195 0.263757355657 Henry Cohn, 2026, needs more optimization.
15 196 0.263988368593 Henry Cohn, 2026, needs more optimization.
15 197 0.264167030892 Henry Cohn, 2026, needs more optimization.
15 198 0.264287815124 Henry Cohn, 2026, needs more optimization.
15 199 0.264393230582 Henry Cohn, 2026, needs more optimization.
15 200 0.264512055045 Henry Cohn, 2026, needs more optimization.
15 201 0.264679604070 Henry Cohn, 2026, needs more optimization.
15 202 0.264862838266 Henry Cohn, 2026, needs more optimization.
15 203 0.264984728968 Henry Cohn, 2026, needs more optimization.
15 204 0.265129163684 Henry Cohn, 2026, needs more optimization.
15 205 0.265251543999 Henry Cohn, 2026, needs more optimization.
15 206 0.265354276627 Henry Cohn, 2026, needs more optimization.
15 207 0.265450291555 Henry Cohn, 2026, needs more optimization.
15 208 0.265531313478 Henry Cohn, 2026, needs more optimization.
15 209 0.265670383097 Henry Cohn, 2026, needs more optimization.
15 210 0.265783974255 Henry Cohn, 2026, needs more optimization.
15 211 0.265951552753 Henry Cohn, 2026, needs more optimization.
15 212 0.265981663211 Henry Cohn, 2026, needs more optimization.
15 213 0.266095931907 Henry Cohn, 2026, needs more optimization.
15 214 0.266230466933 Henry Cohn, 2026, needs more optimization.
15 215 0.266322309599 Henry Cohn, 2026, needs more optimization.
15 217 0.266362814742 Henry Cohn, 2026, needs more optimization.
15 218 0.266362814744 Henry Cohn, 2026, needs more optimization.
15 219 0.266440746604 Henry Cohn, 2026, needs more optimization.
15 220 0.266583431142 Henry Cohn, 2026, needs more optimization.
15 221 0.273150769639 Henry Cohn, 2026, needs more optimization.
15 222 0.284149616559 Henry Cohn, 2026, needs more optimization.
15 223 0.284251933118 Henry Cohn, 2026, needs more optimization.
15 224 0.284364043133 Henry Cohn, 2026, needs more optimization.
15 225 0.285451856001 Henry Cohn, 2026, needs more optimization.
15 226 0.285515604476 Henry Cohn, 2026, needs more optimization.
15 227 0.285515604595 Henry Cohn, 2026, needs more optimization.
15 228 0.285515604655 Henry Cohn, 2026, needs more optimization.
15 229 0.285521859150 Henry Cohn, 2026, needs more optimization.
15 230 0.285521870190 Henry Cohn, 2026, needs more optimization.
15 231 0.285525146445 Henry Cohn, 2026, needs more optimization.
15 232 0.285531264973 Henry Cohn, 2026, needs more optimization.
15 233 0.285536309272 Henry Cohn, 2026, needs more optimization.
15 234 0.285542915076 Henry Cohn, 2026, needs more optimization.
15 235 0.285560677193 Henry Cohn, 2026, needs more optimization.
15 236 0.285572449536 Henry Cohn, 2026, needs more optimization.
15 237 0.285583482535 Henry Cohn, 2026, needs more optimization.
15 238 0.285593497710 Henry Cohn, 2026, needs more optimization.
15 239 0.285607662559 Henry Cohn, 2026, needs more optimization.
15 240 0.285631201317 Henry Cohn, 2026, needs more optimization.
15 241 0.285658940997 Henry Cohn, 2026, needs more optimization.
15 242 0.285672695620 Henry Cohn, 2026, needs more optimization.
15 243 0.286368647233 Henry Cohn, 2026, needs more optimization.
15 244 0.286935827711 Henry Cohn, 2026, needs more optimization.
15 245 0.287258046253 Henry Cohn, 2026, needs more optimization.
15 246 0.287706774243 Henry Cohn, 2026, needs more optimization.
15 247 0.288090813571 Henry Cohn, 2026, needs more optimization.
15 248 0.288361312607 Henry Cohn, 2026, needs more optimization.
15 249 0.291752699197 Henry Cohn, 2026, needs more optimization.
15 250 0.294425817098 Henry Cohn, 2026, needs more optimization.
15 251 0.297313418732 Henry Cohn, 2026, needs more optimization.
15 252 0.297805885600 Henry Cohn, 2026, needs more optimization.
15 253 0.297826741256 Henry Cohn, 2026, needs more optimization.
15 254 0.297925421026 Henry Cohn, 2026, needs more optimization.
15 256 0.297926304913 Henry Cohn, 2026.
15 257 0.302591860530 Henry Cohn, 2026, needs more optimization.
15 258 0.304745123433 Henry Cohn, 2026, needs more optimization.
15 259 0.305962999943 Henry Cohn, 2026, needs more optimization.
15 260 0.307183763306 Henry Cohn, 2026, needs more optimization.
15 261 0.308190960755 Henry Cohn, 2026, needs more optimization.
15 262 0.309418185500 Henry Cohn, 2026, needs more optimization.
15 263 0.309494229383 Henry Cohn, 2026, needs more optimization.
15 264 0.309633685375 Henry Cohn, 2026, needs more optimization.
15 265 0.312022730177 Henry Cohn, 2026, needs more optimization.
15 266 0.313594941276 Henry Cohn, 2026, needs more optimization.
15 267 0.315078982764 Henry Cohn, 2026, needs more optimization.
15 268 0.316238130518 Henry Cohn, 2026, needs more optimization.
15 269 0.316301144608 Henry Cohn, 2026, needs more optimization.
15 270 0.316564747477 Henry Cohn, 2026, needs more optimization.
15 271 0.319241988593 Henry Cohn, 2026, needs more optimization.
15 272 0.321148138833 Henry Cohn, 2026, needs more optimization.
15 273 0.323515822764 Henry Cohn, 2026, needs more optimization.
15 274 0.324908252826 Henry Cohn, 2026, needs more optimization.
15 275 0.326592098609 Henry Cohn, 2026, needs more optimization.
15 276 0.328258753721 Henry Cohn, 2026, needs more optimization.
15 277 0.330054779705 Henry Cohn, 2026, needs more optimization.
15 278 0.331132069436 Henry Cohn, 2026, needs more optimization.
15 279 0.332709973693 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 0.339346361125 Henry Cohn, 2026, needs more optimization.
15 322 0.340375585125 Henry Cohn, 2026, needs more optimization.
15 323 0.341304584516 Henry Cohn, 2026, needs more optimization.
15 324 0.341888397098 Henry Cohn, 2026, needs more optimization.
15 325 0.342383366049 Henry Cohn, 2026, needs more optimization.
15 326 0.342763615414 Henry Cohn, 2026, needs more optimization.
15 327 0.343118171046 Henry Cohn, 2026, needs more optimization.
15 328 0.343553572454 Henry Cohn, 2026, needs more optimization.
15 329 0.343822125244 Henry Cohn, 2026, needs more optimization.
15 330 0.344488538221 Henry Cohn, 2026, needs more optimization.
15 331 0.345416274116 Henry Cohn, 2026, needs more optimization.
15 332 0.345745666556 Henry Cohn, 2026, needs more optimization.
15 333 0.346505257113 Henry Cohn, 2026, needs more optimization.
15 334 0.347021354301 Henry Cohn, 2026, needs more optimization.
15 335 0.347218373645 Henry Cohn, 2026, needs more optimization.
15 336 0.347482530213 Henry Cohn, 2026, needs more optimization.
15 337 0.347850979273 Henry Cohn, 2026, needs more optimization.
15 338 0.348004664205 Henry Cohn, 2026, needs more optimization.
15 339 0.348173241810 Henry Cohn, 2026, needs more optimization.
15 340 0.348378272752 Henry Cohn, 2026, needs more optimization.
15 341 0.348555914856 Henry Cohn, 2026, needs more optimization.
15 342 0.348838337076 Henry Cohn, 2026, needs more optimization.
15 343 0.349073678546 Henry Cohn, 2026, needs more optimization.
15 344 0.349243146497 Henry Cohn, 2026, needs more optimization.
15 345 0.349404251629 Henry Cohn, 2026, needs more optimization.
15 346 0.349619987496 Henry Cohn, 2026, needs more optimization.
15 347 0.350152560125 Henry Cohn, 2026, needs more optimization.
15 348 0.350507538373 Henry Cohn, 2026, needs more optimization.
15 349 0.350848579515 Henry Cohn, 2026, needs more optimization.
15 350 0.351111768075 Henry Cohn, 2026, needs more optimization.
15 351 0.351305861676 Henry Cohn, 2026, needs more optimization.
15 352 0.351653881610 Henry Cohn, 2026, needs more optimization.
15 353 0.352031556434 Henry Cohn, 2026, needs more optimization.
15 354 0.352277777081 Henry Cohn, 2026, needs more optimization.
15 355 0.352550577064 Henry Cohn, 2026, needs more optimization.
15 356 0.352749520001 Henry Cohn, 2026, needs more optimization.
15 357 0.352951980662 Henry Cohn, 2026, needs more optimization.
15 358 0.353282638585 Henry Cohn, 2026, needs more optimization.
15 359 0.353528668642 Henry Cohn, 2026, needs more optimization.
15 360 0.353754123501 Henry Cohn, 2026, needs more optimization.
15 361 0.355562073874 Henry Cohn, 2026, needs more optimization.
15 362 0.355585447642 Henry Cohn, 2026, needs more optimization.
15 363 0.355588621000 Henry Cohn, 2026, needs more optimization.
15 364 0.355591731730 Henry Cohn, 2026, needs more optimization.
15 365 0.355594855801 Henry Cohn, 2026, needs more optimization.
15 366 0.355596682427 Henry Cohn, 2026, needs more optimization.
15 367 0.355640660717 Henry Cohn, 2026, needs more optimization.
15 368 0.355656230811 Henry Cohn, 2026, needs more optimization.
15 369 0.355684043587 Henry Cohn, 2026, needs more optimization.
15 370 0.355708436533 Henry Cohn, 2026, needs more optimization.
15 371 0.355773685639 Henry Cohn, 2026, needs more optimization.
15 372 0.355781753217 Henry Cohn, 2026, needs more optimization.
15 373 0.356626286195 Henry Cohn, 2026, needs more optimization.
15 374 0.356890721567 Henry Cohn, 2026, needs more optimization.
15 375 0.356927653029 Henry Cohn, 2026, needs more optimization.
15 376 0.359353466348 Henry Cohn, 2026, needs more optimization.
15 377 0.359371785067 Henry Cohn, 2026, needs more optimization.
15 378 0.359430386430 Henry Cohn, 2026, needs more optimization.
15 379 0.359813612820 Henry Cohn, 2026, needs more optimization.
15 380 0.360536218193 Henry Cohn, 2026, needs more optimization.
15 381 0.360771530093 Henry Cohn, 2026, needs more optimization.
15 382 0.360780276442 Henry Cohn, 2026, needs more optimization.
15 383 0.361471869998 Henry Cohn, 2026, needs more optimization.
15 384 0.362697365557 Henry Cohn, 2026, needs more optimization.
15 385 0.363077531022 Henry Cohn, 2026, needs more optimization.
15 386 0.363884836710 Henry Cohn, 2026, needs more optimization.
15 387 0.364658660489 Henry Cohn, 2026, needs more optimization.
15 388 0.365659209758 Henry Cohn, 2026, needs more optimization.
15 424 0.370431040067 Henry Cohn, 2026.
287⁢x2−190⁢x+31
15 425 0.371376533131 Henry Cohn, 2026, needs more optimization.
15 426 0.373111372357 Henry Cohn, 2026, needs more optimization.
15 427 0.373371026700 Henry Cohn, 2026, needs more optimization.
15 428 0.374921997550 Henry Cohn, 2026, needs more optimization.
15 429 0.374923757667 Henry Cohn, 2026, needs more optimization.
15 430 0.374923761712 Henry Cohn, 2026, needs more optimization.
15 431 0.374924428706 Henry Cohn, 2026, needs more optimization.
15 432 0.374924616455 Henry Cohn, 2026, needs more optimization.
15 433 0.374966058583 Henry Cohn, 2026, needs more optimization.
15 434 0.374966119598 Henry Cohn, 2026, needs more optimization.
15 461 0.376462890262 Henry Cohn, 2026, needs more optimization.
15 462 0.376564758964 Henry Cohn, 2026, needs more optimization.
15 466 0.376621782278 Henry Cohn, 2026, needs more optimization.
15 467 0.381280443536 Henry Cohn, 2026, needs more optimization.
15 468 0.382759443733 Henry Cohn, 2026, needs more optimization.
15 469 0.383972105735 Henry Cohn, 2026, needs more optimization.
15 470 0.385355302867 Henry Cohn, 2026, needs more optimization.
15 471 0.386211853586 Henry Cohn, 2026, needs more optimization.
15 472 0.386927623180 Henry Cohn, 2026, needs more optimization.
15 480 0.387504105641 Henry Cohn, 2026, needs more optimization.
15 481 0.390298836778 Henry Cohn, 2026, needs more optimization.
15 482 0.392784728454 Henry Cohn, 2026, needs more optimization.
15 483 0.392822983558 Henry Cohn, 2026, needs more optimization.
15 484 0.392834966095 Henry Cohn, 2026, needs more optimization.
15 485 0.392851189594 Henry Cohn, 2026, needs more optimization.
15 486 0.392871408935 Henry Cohn, 2026, needs more optimization.
15 487 0.392875677392 Henry Cohn, 2026, needs more optimization.
15 488 0.392902673038 Henry Cohn, 2026, needs more optimization.
15 489 0.392920548102 Henry Cohn, 2026, needs more optimization.
15 490 0.393053111526 Henry Cohn, 2026, needs more optimization.
15 491 0.393061402745 Henry Cohn, 2026, needs more optimization.
15 492 0.393139662521 Henry Cohn, 2026, needs more optimization.
15 493 0.393208554958 Henry Cohn, 2026, needs more optimization.
15 494 0.393228989809 Henry Cohn, 2026, needs more optimization.
15 495 0.393247662822 Henry Cohn, 2026, needs more optimization.
15 496 0.393321386120 Henry Cohn, 2026, needs more optimization.
15 497 0.393416450333 Henry Cohn, 2026, needs more optimization.
15 498 0.393427782194 Henry Cohn, 2026, needs more optimization.
15 499 0.393450835100 Henry Cohn, 2026, needs more optimization.
15 500 0.393464936808 Henry Cohn, 2026, needs more optimization.
15 501 0.393479008725 Henry Cohn, 2026, needs more optimization.
15 502 0.393523090708 Henry Cohn, 2026, needs more optimization.
15 503 0.393534649274 Henry Cohn, 2026, needs more optimization.
15 504 0.393555576500 Henry Cohn, 2026, needs more optimization.
15 505 0.393586518833 Henry Cohn, 2026, needs more optimization.
15 506 0.393716241362 Henry Cohn, 2026, needs more optimization.
15 507 0.393801368607 Henry Cohn, 2026, needs more optimization.
15 508 0.393872550676 Henry Cohn, 2026, needs more optimization.
15 509 0.394252664097 Henry Cohn, 2026, needs more optimization.
15 510 0.394636546549 Henry Cohn, 2026, needs more optimization.
15 511 0.394964398630 Henry Cohn, 2026, needs more optimization.
15 512 0.394984204715 Henry Cohn, 2026, needs more optimization.
15 513 0.395193906296 Henry Cohn, 2026, needs more optimization.
15 514 0.395538409105 Henry Cohn, 2026, needs more optimization.
15 515 0.395595585041 Henry Cohn, 2026, needs more optimization.
15 516 0.395655600094 Henry Cohn, 2026, needs more optimization.
15 517 0.396049077013 Henry Cohn, 2026, needs more optimization.
15 518 0.396331941093 Henry Cohn, 2026, needs more optimization.
15 519 0.396480241535 Henry Cohn, 2026, needs more optimization.
15 520 0.396599270521 Henry Cohn, 2026, needs more optimization.
15 521 0.396877638660 Henry Cohn, 2026, needs more optimization.
15 522 0.397108024718 Henry Cohn, 2026, needs more optimization.
15 523 0.397186900401 Henry Cohn, 2026, needs more optimization.
15 524 0.397341808859 Henry Cohn, 2026, needs more optimization.
15 525 0.397487707501 Henry Cohn, 2026, needs more optimization.
15 526 0.397650215083 Henry Cohn, 2026, needs more optimization.
15 528 0.397816743948 Henry Cohn, 2026, needs more optimization.
15 529 0.397950644123 Henry Cohn, 2026, needs more optimization.
15 530 0.398069547838 Henry Cohn, 2026, needs more optimization.
15 531 0.398176906475 Henry Cohn, 2026, needs more optimization.
15 532 0.398313884025 Henry Cohn, 2026, needs more optimization.
15 533 0.398476981247 Henry Cohn, 2026, needs more optimization.
15 534 0.398714829526 Henry Cohn, 2026, needs more optimization.
15 535 0.398852262521 Henry Cohn, 2026, needs more optimization.
15 536 0.398942927475 Henry Cohn, 2026, needs more optimization.
15 537 0.399014571991 Henry Cohn, 2026, needs more optimization.
15 538 0.399108455012 Henry Cohn, 2026, needs more optimization.
15 539 0.399204730548 Henry Cohn, 2026, needs more optimization.
15 540 0.399252399444 Henry Cohn, 2026, needs more optimization.
15 541 0.399500101835 Henry Cohn, 2026, needs more optimization.
15 542 0.399626642470 Henry Cohn, 2026, needs more optimization.
15 543 0.399834650407 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.
15 690 0.407439006131 Henry Cohn, 2026, needs more optimization.
15 691 0.410994766695 Henry Cohn, 2026, needs more optimization.
15 692 0.413599958526 Henry Cohn, 2026, needs more optimization.
15 693 0.414354503872 Henry Cohn, 2026, needs more optimization.
15 694 0.414659938292 Henry Cohn, 2026, needs more optimization.
15 695 0.415975742905 Henry Cohn, 2026, needs more optimization.
15 696 0.416267372835 Henry Cohn, 2026, needs more optimization.
15 697 0.417438678597 Henry Cohn, 2026, needs more optimization.
15 698 0.417444476725 Henry Cohn, 2026, needs more optimization.
15 699 0.417754742874 Henry Cohn, 2026, needs more optimization.
15 700 0.417758796706 Henry Cohn, 2026, needs more optimization.
15 701 0.418073923530 Henry Cohn, 2026, needs more optimization.
15 702 0.418537123132 Henry Cohn, 2026, needs more optimization.
15 703 0.418685771056 Henry Cohn, 2026, needs more optimization.
15 704 0.419195162638 Henry Cohn, 2026, needs more optimization.
15 705 0.419264855290 Henry Cohn, 2026, needs more optimization.
15 706 0.419673675906 Henry Cohn, 2026, needs more optimization.
15 707 0.420436212871 Henry Cohn, 2026, needs more optimization.
15 708 0.420997875862 Henry Cohn, 2026, needs more optimization.
15 709 0.421016245855 Henry Cohn, 2026, needs more optimization.
15 710 0.421048713542 Henry Cohn, 2026, needs more optimization.
15 711 0.421115994867 Henry Cohn, 2026, needs more optimization.
15 712 0.421233167159 Henry Cohn, 2026, needs more optimization.
15 713 0.421397554440 Henry Cohn, 2026, needs more optimization.
15 714 0.421454084551 Henry Cohn, 2026, needs more optimization.
15 715 0.421609735298 Henry Cohn, 2026, needs more optimization.
15 716 0.421824285251 Henry Cohn, 2026, needs more optimization.
15 717 0.422139044700 Henry Cohn, 2026, needs more optimization.
15 718 0.422350076761 Henry Cohn, 2026, needs more optimization.
15 719 0.422641062381 Henry Cohn, 2026, needs more optimization.
15 720 0.422845175965 Henry Cohn, 2026, needs more optimization.
15 721 0.423024464724 Henry Cohn, 2026, needs more optimization.
15 722 0.423261784601 Henry Cohn, 2026, needs more optimization.
15 723 0.423578403305 Henry Cohn, 2026, needs more optimization.
15 724 0.423849738648 Henry Cohn, 2026, needs more optimization.
15 725 0.424190428535 Henry Cohn, 2026, needs more optimization.
15 726 0.424356176042 Henry Cohn, 2026, needs more optimization.
15 727 0.424533633800 Henry Cohn, 2026, needs more optimization.
15 728 0.424737242878 Henry Cohn, 2026, needs more optimization.
15 729 0.425052495106 Henry Cohn, 2026, needs more optimization.
15 730 0.425145635022 Henry Cohn, 2026, needs more optimization.
15 731 0.425337272929 Henry Cohn, 2026, needs more optimization.
15 732 0.425492017366 Henry Cohn, 2026, needs more optimization.
15 733 0.425649196682 Henry Cohn, 2026, needs more optimization.
15 734 0.425833096288 Henry Cohn, 2026, needs more optimization.
15 735 0.426023394736 Henry Cohn, 2026, needs more optimization.
15 736 0.426117504733 Henry Cohn, 2026, needs more optimization.
15 737 0.426465883362 Henry Cohn, 2026, needs more optimization.
15 738 0.426666898973 Henry Cohn, 2026, needs more optimization.
15 739 0.426775591029 Henry Cohn, 2026, needs more optimization.
15 740 0.427052480914 Henry Cohn, 2026, needs more optimization.
15 741 0.427296107095 Henry Cohn, 2026, needs more optimization.
15 742 0.427411497216 Henry Cohn, 2026, needs more optimization.
15 743 0.427632780338 Henry Cohn, 2026, needs more optimization.
15 744 0.427692845076 Henry Cohn, 2026, needs more optimization.
15 745 0.427871822415 Henry Cohn, 2026, needs more optimization.
15 746 0.427975404181 Henry Cohn, 2026, needs more optimization.
15 747 0.428144493048 Henry Cohn, 2026, needs more optimization.
15 748 0.428343287912 Henry Cohn, 2026, needs more optimization.
15 749 0.428536357544 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 0.439566805805 Henry Cohn, 2026, needs more optimization.
15 992 0.454567730802 Henry Cohn, 2026, needs more optimization.
15 993 0.454578066399 Henry Cohn, 2026, needs more optimization.
15 994 0.454610365165 Henry Cohn, 2026, needs more optimization.
15 997 0.454617707805 Henry Cohn, 2026, needs more optimization.
15 1008 0.454617814185 Henry Cohn, 2026, needs more optimization.
15 1013 0.454737638791 Henry Cohn, 2026, needs more optimization.
15 1015 0.454738301439 Henry Cohn, 2026, needs more optimization.
15 1016 0.454752554821 Henry Cohn, 2026, needs more optimization.
15 1017 0.454796406906 Henry Cohn, 2026, needs more optimization.
15 1019 0.454800555620 Henry Cohn, 2026, needs more optimization.
15 1021 0.454813649196 Henry Cohn, 2026, needs more optimization.
15 1022 0.454944092149 Henry Cohn, 2026, needs more optimization.
15 1023 0.454956921972 Henry Cohn, 2026, needs more optimization.
15 1024 0.454977519070 Henry Cohn, 2026, needs more optimization.
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 0.085112299907 Henry Cohn, 2025.
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 0.095440859515 Henry Cohn, 2025.
16 47 0.097443031003 Henry Cohn, 2025.
16 48 0.098771717854 Henry Cohn, 2023.
143⁢x2−4⁢x−1
16 49 0.105254154031 Henry Cohn, 2025.
16 50 0.108974791166 Henry Cohn, 2026.
16 51 0.111198306019 Henry Cohn, 2025.
16 52 0.111567586034 Henry Cohn, 2026.
16 54 0.112897448890 Henry Cohn, 2026.
16 55 0.113130733100 Henry Cohn, 2026, needs more optimization.
16 58 0.113835450316 Henry Cohn, 2026.
288⁢x2−24⁢x−1
16 59 0.115469713108 Henry Cohn, 2026, needs more optimization.
16 60 0.115470049065 Henry Cohn, 2026, needs more optimization.
16 61 0.119371454413 Henry Cohn, 2025.
16 62 0.125768177302 Henry Cohn, 2025.
16 74 0.127284656799 Henry Cohn, 2023.
156⁢x2−12⁢x−1
16 75 0.142328493271 Henry Cohn, 2026, needs more optimization.
16 76 0.155973841385 Henry Cohn, 2026, needs more optimization.
16 77 0.156180778411 Henry Cohn, 2026, needs more optimization.
16 78 0.156332941369 Henry Cohn, 2026, needs more optimization.
16 79 0.156685153835 Henry Cohn, 2026, needs more optimization.
16 80 0.156933594050 Henry Cohn, 2026, needs more optimization.
16 81 0.157231026175 Henry Cohn, 2026, needs more optimization.
16 82 0.158312309808 Henry Cohn, 2026, needs more optimization.
16 83 0.158831583919 Henry Cohn, 2026, needs more optimization.
16 84 0.159473252852 Henry Cohn, 2026, needs more optimization.
16 85 0.161142075514 Henry Cohn, 2026, needs more optimization.
16 88 0.168668499420 Henry Cohn, 2025, needs more optimization.
16 89 0.168683597982 Henry Cohn, 2026, needs more optimization.
16 90 0.168684111462 Henry Cohn, 2026, needs more optimization.
16 92 0.168684604646 Henry Cohn, 2025, needs more optimization.
16 94 0.168684943107 Henry Cohn, 2025, needs more optimization.
16 95 0.168685647441 Henry Cohn, 2026, needs more optimization.
16 96 0.168685666299 Henry Cohn, 2026, needs more optimization.
16 97 0.169880683941 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.
16 104 0.179204461283 Henry Cohn, 2026, needs more optimization.
16 105 0.183416385617 Henry Cohn, 2026, needs more optimization.
16 106 0.185874805614 Henry Cohn, 2026, needs more optimization.
16 107 0.188007787992 Henry Cohn, 2026, needs more optimization.
16 108 0.191292637372 Henry Cohn, 2026, needs more optimization.
16 109 0.191600234956 Henry Cohn, 2026, needs more optimization.
16 110 0.192350384023 Henry Cohn, 2026, needs more optimization.
16 111 0.192383845859 Henry Cohn, 2026, needs more optimization.
16 112 0.192450085904 Henry Cohn, 2026, needs more optimization.
16 117 0.192450089730 Henry Cohn, 2026.
27⁢x2−1
16 118 0.192450185263 Henry Cohn, 2026, needs more optimization.
16 119 0.198884094973 Henry Cohn, 2026, needs more optimization.
16 120 0.199966090992 Henry Cohn, 2026, needs more optimization.
16 122 0.199966090996 Henry Cohn, 2026, needs more optimization.
16 123 0.199988971320 Henry Cohn, 2026, needs more optimization.
16 124 0.199989165732 Henry Cohn, 2026, needs more optimization.
16 126 0.199993997102 Henry Cohn, 2026, needs more optimization.
16 127 0.199995845425 Henry Cohn, 2025, needs more optimization.
16 130 0.199999918321 Henry Cohn, 2025, needs more optimization.
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 0.204975401740 Henry Cohn, 2026, needs more optimization.
16 161 0.221699721045 Henry Cohn, 2026, needs more optimization.
16 162 0.229553223635 Henry Cohn, 2026, needs more optimization.
16 163 0.233423687584 Henry Cohn, 2026, needs more optimization.
16 164 0.236099339164 Henry Cohn, 2026, needs more optimization.
16 165 0.237943434745 Henry Cohn, 2026, needs more optimization.
16 166 0.239559472920 Henry Cohn, 2026, needs more optimization.
16 167 0.240781553580 Henry Cohn, 2026, needs more optimization.
16 168 0.242156927485 Henry Cohn, 2026, needs more optimization.
16 169 0.242983890500 Henry Cohn, 2026, needs more optimization.
16 170 0.243668280536 Henry Cohn, 2026, needs more optimization.
16 171 0.243672518530 Henry Cohn, 2026, needs more optimization.
16 172 0.243773215702 Henry Cohn, 2026, needs more optimization.
16 173 0.244213162222 Henry Cohn, 2026, needs more optimization.
16 174 0.245065601683 Henry Cohn, 2026, needs more optimization.
16 175 0.245776926053 Henry Cohn, 2026, needs more optimization.
16 176 0.246196690171 Henry Cohn, 2026, needs more optimization.
16 177 0.246659974602 Henry Cohn, 2026, needs more optimization.
16 178 0.247132339079 Henry Cohn, 2026, needs more optimization.
16 179 0.247495885845 Henry Cohn, 2026, needs more optimization.
16 180 0.248255485204 Henry Cohn, 2026, needs more optimization.
16 181 0.248714274356 Henry Cohn, 2026, needs more optimization.
16 182 0.248846518954 Henry Cohn, 2026, needs more optimization.
16 183 0.249103990267 Henry Cohn, 2026, needs more optimization.
16 184 0.249247558594 Henry Cohn, 2026, needs more optimization.
16 185 0.249467081842 Henry Cohn, 2026, needs more optimization.
16 186 0.249489873984 Henry Cohn, 2026, needs more optimization.
16 187 0.249492551860 Henry Cohn, 2026, needs more optimization.
16 188 0.249530407021 Henry Cohn, 2026, needs more optimization.
16 189 0.249713140825 Henry Cohn, 2026, needs more optimization.
16 190 0.249764703503 Henry Cohn, 2026, needs more optimization.
16 191 0.249826189425 Henry Cohn, 2026, needs more optimization.
16 192 0.249847069162 Henry Cohn, 2026, needs more optimization.
16 193 0.249867035884 Henry Cohn, 2026, needs more optimization.
16 194 0.249893526032 Henry Cohn, 2026, needs more optimization.
16 195 0.249902387437 Henry Cohn, 2026, needs more optimization.
16 196 0.249928286475 Henry Cohn, 2026, needs more optimization.
16 197 0.249964346791 Henry Cohn, 2026, needs more optimization.
16 198 0.249972066872 Henry Cohn, 2026, needs more optimization.
16 199 0.249979888452 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 0.285986040340 Henry Cohn, 2026, needs more optimization.
16 290 0.292092546640 Henry Cohn, 2026, needs more optimization.
16 291 0.296199534207 Henry Cohn, 2026, needs more optimization.
16 292 0.297872983469 Henry Cohn, 2026, needs more optimization.
16 293 0.299919801868 Henry Cohn, 2026, needs more optimization.
16 294 0.301933083530 Henry Cohn, 2026, needs more optimization.
16 295 0.304773756582 Henry Cohn, 2026, needs more optimization.
16 296 0.306058163602 Henry Cohn, 2026, needs more optimization.
16 297 0.308192547686 Henry Cohn, 2026, needs more optimization.
16 298 0.309533310062 Henry Cohn, 2026, needs more optimization.
16 299 0.311034792713 Henry Cohn, 2026, needs more optimization.
16 300 0.312027139133 Henry Cohn, 2026, needs more optimization.
16 301 0.313904073007 Henry Cohn, 2026, needs more optimization.
16 302 0.315028536338 Henry Cohn, 2026, needs more optimization.
16 303 0.316347676991 Henry Cohn, 2026, needs more optimization.
16 304 0.317538738602 Henry Cohn, 2026, needs more optimization.
16 305 0.318677922004 Henry Cohn, 2026, needs more optimization.
16 306 0.319658991436 Henry Cohn, 2026, needs more optimization.
16 307 0.320735803430 Henry Cohn, 2026, needs more optimization.
16 308 0.321750098057 Henry Cohn, 2026, needs more optimization.
16 309 0.323005387988 Henry Cohn, 2026, needs more optimization.
16 310 0.323614063890 Henry Cohn, 2026, needs more optimization.
16 311 0.324565948796 Henry Cohn, 2026, needs more optimization.
16 312 0.325083198554 Henry Cohn, 2026, needs more optimization.
16 313 0.325966438889 Henry Cohn, 2026, needs more optimization.
16 314 0.326620412237 Henry Cohn, 2026, needs more optimization.
16 315 0.327156514698 Henry Cohn, 2026, needs more optimization.
16 316 0.327206992638 Henry Cohn, 2026, needs more optimization.
16 317 0.327465653436 Henry Cohn, 2026, needs more optimization.
16 318 0.327486051493 Henry Cohn, 2026, needs more optimization.
16 319 0.327517559760 Henry Cohn, 2026, needs more optimization.
16 320 0.327556156852 Henry Cohn, 2026, needs more optimization.
16 321 0.327677099649 Henry Cohn, 2026, needs more optimization.
16 322 0.327755222166 Henry Cohn, 2026, needs more optimization.
16 323 0.328031073702 Henry Cohn, 2026, needs more optimization.
16 324 0.328128971891 Henry Cohn, 2026, needs more optimization.
16 325 0.328363051168 Henry Cohn, 2026, needs more optimization.
16 326 0.328409309474 Henry Cohn, 2026, needs more optimization.
16 327 0.328649332864 Henry Cohn, 2026, needs more optimization.
16 328 0.328679367279 Henry Cohn, 2026, needs more optimization.
16 329 0.328813627183 Henry Cohn, 2026, needs more optimization.
16 330 0.328863905101 Henry Cohn, 2026, needs more optimization.
16 340 0.328947368422 Henry Cohn, 2026.
76⁢x−25
16 341 0.330381452009 Henry Cohn, 2026, needs more optimization.
16 342 0.330473332504 Henry Cohn, 2026, needs more optimization.
16 343 0.330510765640 Henry Cohn, 2026, needs more optimization.
16 344 0.330693172608 Henry Cohn, 2026, needs more optimization.
16 345 0.330766979245 Henry Cohn, 2026, needs more optimization.
16 346 0.330849085233 Henry Cohn, 2026, needs more optimization.
16 347 0.330901477049 Henry Cohn, 2026, needs more optimization.
16 348 0.330902669196 Henry Cohn, 2026, needs more optimization.
16 349 0.331086081336 Henry Cohn, 2026, needs more optimization.
16 350 0.331142695150 Henry Cohn, 2026, needs more optimization.
16 351 0.331173060348 Henry Cohn, 2026, needs more optimization.
16 352 0.331395263223 Henry Cohn, 2026, needs more optimization.
16 353 0.331441313390 Henry Cohn, 2026, needs more optimization.
16 354 0.331577139256 Henry Cohn, 2026, needs more optimization.
16 355 0.331718449543 Henry Cohn, 2026, needs more optimization.
16 356 0.331843078641 Henry Cohn, 2026, needs more optimization.
16 357 0.331865747629 Henry Cohn, 2026, needs more optimization.
16 358 0.332121666400 Henry Cohn, 2026, needs more optimization.
16 359 0.332149033203 Henry Cohn, 2026, needs more optimization.
16 360 0.332326093882 Henry Cohn, 2026, needs more optimization.
16 361 0.332544872024 Henry Cohn, 2026, needs more optimization.
16 362 0.332603836799 Henry Cohn, 2026, needs more optimization.
16 363 0.332765644587 Henry Cohn, 2026, needs more optimization.
16 364 0.332806712574 Henry Cohn, 2026, needs more optimization.
16 365 0.332962805378 Henry Cohn, 2026, needs more optimization.
16 366 0.333048927531 Henry Cohn, 2026, needs more optimization.
16 367 0.333062121237 Henry Cohn, 2026, needs more optimization.
16 368 0.333083774202 Henry Cohn, 2026, needs more optimization.
16 369 0.333206814642 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 0.350806643725 Henry Cohn, 2026, needs more optimization.
16 514 0.351247640593 Henry Cohn, 2026, needs more optimization.
16 515 0.352936044539 Henry Cohn, 2026, needs more optimization.
16 516 0.356581397088 Henry Cohn, 2026, needs more optimization.
16 517 0.357859990503 Henry Cohn, 2026, needs more optimization.
16 518 0.358530421658 Henry Cohn, 2026, needs more optimization.
16 519 0.358904666760 Henry Cohn, 2026, needs more optimization.
16 520 0.359967405960 Henry Cohn, 2026, needs more optimization.
16 521 0.360665067245 Henry Cohn, 2026, needs more optimization.
16 522 0.360858432615 Henry Cohn, 2026, needs more optimization.
16 523 0.361261093523 Henry Cohn, 2026, needs more optimization.
16 524 0.362586621872 Henry Cohn, 2026, needs more optimization.
16 525 0.363013943903 Henry Cohn, 2026, needs more optimization.
16 526 0.363486615859 Henry Cohn, 2026, needs more optimization.
16 527 0.364018338820 Henry Cohn, 2026, needs more optimization.
16 528 0.364563934686 Henry Cohn, 2026, needs more optimization.
16 529 0.365214873374 Henry Cohn, 2026, needs more optimization.
16 530 0.365518917060 Henry Cohn, 2026, needs more optimization.
16 531 0.365850652331 Henry Cohn, 2026, needs more optimization.
16 532 0.366442551028 Henry Cohn, 2026, needs more optimization.
16 533 0.366985577207 Henry Cohn, 2026, needs more optimization.
16 534 0.367436591005 Henry Cohn, 2026, needs more optimization.
16 535 0.367830922799 Henry Cohn, 2026, needs more optimization.
16 536 0.368179755785 Henry Cohn, 2026, needs more optimization.
16 537 0.368747356343 Henry Cohn, 2026, needs more optimization.
16 538 0.369138799177 Henry Cohn, 2026, needs more optimization.
16 567 0.369248411466 Henry Cohn, 2026.
29⁢x2−8⁢x−1
16 568 0.379712693167 Henry Cohn, 2026, needs more optimization.
16 569 0.383085851434 Henry Cohn, 2026, needs more optimization.
16 570 0.384383469767 Henry Cohn, 2026, needs more optimization.
16 571 0.385295521735 Henry Cohn, 2026, needs more optimization.
16 572 0.386094066077 Henry Cohn, 2026, needs more optimization.
16 573 0.387019438446 Henry Cohn, 2026, needs more optimization.
16 574 0.387696535004 Henry Cohn, 2026, needs more optimization.
16 575 0.388300156748 Henry Cohn, 2026, needs more optimization.
16 576 0.389201336992 Henry Cohn, 2026, needs more optimization.
16 577 0.389661800021 Henry Cohn, 2026, needs more optimization.
16 578 0.389782746924 Henry Cohn, 2026, needs more optimization.
16 579 0.390385604122 Henry Cohn, 2026, needs more optimization.
16 580 0.390982691237 Henry Cohn, 2026, needs more optimization.
16 581 0.391420329040 Henry Cohn, 2026, needs more optimization.
16 582 0.391768896792 Henry Cohn, 2026, needs more optimization.
16 583 0.392169205076 Henry Cohn, 2026, needs more optimization.
16 680 0.392857142858 Henry Cohn, 2026.
28⁢x−11
16 681 0.394879531738 Henry Cohn, 2026, needs more optimization.
16 682 0.395906969381 Henry Cohn, 2026, needs more optimization.
16 683 0.396408196258 Henry Cohn, 2026, needs more optimization.
16 684 0.396851323774 Henry Cohn, 2026, needs more optimization.
16 685 0.397222255572 Henry Cohn, 2026, needs more optimization.
16 686 0.397563982390 Henry Cohn, 2026, needs more optimization.
16 687 0.397747655148 Henry Cohn, 2026, needs more optimization.
16 688 0.397923828992 Henry Cohn, 2026, needs more optimization.
16 689 0.398220721469 Henry Cohn, 2026, needs more optimization.
16 690 0.398419642600 Henry Cohn, 2026, needs more optimization.
16 691 0.398594711610 Henry Cohn, 2026, needs more optimization.
16 692 0.398778731937 Henry Cohn, 2026, needs more optimization.
16 693 0.398945069374 Henry Cohn, 2026, needs more optimization.
16 694 0.399115856241 Henry Cohn, 2026, needs more optimization.
16 695 0.399383851977 Henry Cohn, 2026, needs more optimization.
16 696 0.399592402525 Henry Cohn, 2026, needs more optimization.
16 697 0.399709521658 Henry Cohn, 2026, needs more optimization.
16 698 0.399787172546 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
16 770 0.404117037748 Henry Cohn, 2026, needs more optimization.
16 771 0.405949249526 Henry Cohn, 2026, needs more optimization.
16 772 0.405997016730 Henry Cohn, 2026, needs more optimization.
16 773 0.406084684132 Henry Cohn, 2026, needs more optimization.
16 774 0.406126967186 Henry Cohn, 2026, needs more optimization.
16 775 0.406133521939 Henry Cohn, 2026, needs more optimization.
16 776 0.406280841128 Henry Cohn, 2026, needs more optimization.
16 777 0.406296377135 Henry Cohn, 2026, needs more optimization.
16 778 0.406307333468 Henry Cohn, 2026, needs more optimization.
16 779 0.406335753677 Henry Cohn, 2026, needs more optimization.
16 780 0.406346029132 Henry Cohn, 2026, needs more optimization.
16 781 0.406508280745 Henry Cohn, 2026, needs more optimization.
16 782 0.407423180650 Henry Cohn, 2026, needs more optimization.
16 783 0.407881983458 Henry Cohn, 2026, needs more optimization.
16 784 0.407949901798 Henry Cohn, 2026, needs more optimization.
16 785 0.407980798266 Henry Cohn, 2026, needs more optimization.
16 786 0.407989453265 Henry Cohn, 2026, needs more optimization.
16 787 0.408012346640 Henry Cohn, 2026, needs more optimization.
16 788 0.408787020618 Henry Cohn, 2026, needs more optimization.
16 789 0.408918561668 Henry Cohn, 2026, needs more optimization.
16 790 0.408980616848 Henry Cohn, 2026, needs more optimization.
16 791 0.409186568884 Henry Cohn, 2026, needs more optimization.
16 792 0.409263519663 Henry Cohn, 2026, needs more optimization.
16 793 0.409697596448 Henry Cohn, 2026, needs more optimization.
16 794 0.409704547961 Henry Cohn, 2026, needs more optimization.
16 795 0.409711454352 Henry Cohn, 2026, needs more optimization.
16 796 0.410141125476 Henry Cohn, 2026, needs more optimization.
16 797 0.410210938683 Henry Cohn, 2026, needs more optimization.
16 798 0.410230307724 Henry Cohn, 2026, needs more optimization.
16 799 0.410234031729 Henry Cohn, 2026, needs more optimization.
16 800 0.410249864994 Henry Cohn, 2026, needs more optimization.
16 801 0.410621274683 Henry Cohn, 2026, needs more optimization.
16 802 0.410766186193 Henry Cohn, 2026, needs more optimization.
16 803 0.410969580120 Henry Cohn, 2026, needs more optimization.
16 804 0.410995519910 Henry Cohn, 2026, needs more optimization.
16 805 0.411101550209 Henry Cohn, 2026, needs more optimization.
16 806 0.411468841775 Henry Cohn, 2026, needs more optimization.
16 807 0.411522207548 Henry Cohn, 2026, needs more optimization.
16 808 0.411638431117 Henry Cohn, 2026, needs more optimization.
16 809 0.411738227656 Henry Cohn, 2026, needs more optimization.
16 810 0.411826187286 Henry Cohn, 2026, needs more optimization.
16 811 0.411844591332 Henry Cohn, 2026, needs more optimization.
16 812 0.411906237982 Henry Cohn, 2026, needs more optimization.
16 813 0.411914605519 Henry Cohn, 2026, needs more optimization.
16 814 0.414483524998 Henry Cohn, 2026, needs more optimization.
16 815 0.414489256729 Henry Cohn, 2026, needs more optimization.
16 816 0.414493894283 Henry Cohn, 2026, needs more optimization.
16 817 0.414497572652 Henry Cohn, 2026, needs more optimization.
16 818 0.414511013011 Henry Cohn, 2026, needs more optimization.
16 819 0.414515540980 Henry Cohn, 2026, needs more optimization.
16 820 0.414518722366 Henry Cohn, 2026, needs more optimization.
16 821 0.414519926957 Henry Cohn, 2026, needs more optimization.
16 822 0.414521305472 Henry Cohn, 2026, needs more optimization.
16 823 0.414524022233 Henry Cohn, 2026, needs more optimization.
16 824 0.414711094544 Henry Cohn, 2026, needs more optimization.
16 825 0.414712977694 Henry Cohn, 2026, needs more optimization.
16 827 0.414715559519 Henry Cohn, 2026, needs more optimization.
16 828 0.414722714363 Henry Cohn, 2026, needs more optimization.
16 829 0.414823444124 Henry Cohn, 2026, needs more optimization.
16 830 0.414825333809 Henry Cohn, 2026, needs more optimization.
16 831 0.414885782631 Henry Cohn, 2026, needs more optimization.
16 832 0.414955984032 Henry Cohn, 2026, needs more optimization.
16 833 0.415066121485 Henry Cohn, 2026, needs more optimization.
16 834 0.423348546048 Henry Cohn, 2026, needs more optimization.
16 835 0.423497513070 Henry Cohn, 2026, needs more optimization.
16 836 0.423642525279 Henry Cohn, 2026, needs more optimization.
16 877 0.423728813560 Henry Cohn, 2026.
59⁢x−25
16 878 0.425519981495 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 0.064964413617 Henry Cohn, 2025.
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 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 0.124823699080 Henry Cohn, 2026.
17 67 0.127087890038 Henry Cohn, 2026.
17 68 0.127206601267 Henry Cohn, 2026, needs more optimization.
17 69 0.127241105668 Henry Cohn, 2026.
17 71 0.127270310008 Henry Cohn, 2025.
17 74 0.127284404862 Henry Cohn, 2025.
17 76 0.127284594471 Henry Cohn, 2025.
17 77 0.127303652497 Henry Cohn, 2026, needs more optimization.
17 78 0.135230868852 Henry Cohn, 2026, needs more optimization.
17 79 0.142557693199 Henry Cohn, 2026, needs more optimization.
17 80 0.147987559048 Henry Cohn, 2026, needs more optimization.
17 81 0.149922571398 Henry Cohn, 2026, needs more optimization.
17 82 0.149951007419 Henry Cohn, 2026, needs more optimization.
17 84 0.149999887904 Henry Cohn, 2026, needs more optimization.
17 85 0.149999887991 Henry Cohn, 2026, needs more optimization.
17 86 0.149999888045 Henry Cohn, 2026, needs more optimization.
17 87 0.151340636758 Henry Cohn, 2026, needs more optimization.
17 88 0.156556558217 Henry Cohn, 2026, needs more optimization.
17 89 0.158629733399 Henry Cohn, 2026, needs more optimization.
17 90 0.165409469076 Henry Cohn, 2026, needs more optimization.
17 91 0.167225196650 Henry Cohn, 2026, needs more optimization.
17 92 0.167349745034 Henry Cohn, 2026, needs more optimization.
17 93 0.167561231766 Henry Cohn, 2026, needs more optimization.
17 94 0.167892723246 Henry Cohn, 2026, needs more optimization.
17 95 0.168041877478 Henry Cohn, 2026, needs more optimization.
17 96 0.168354988168 Henry Cohn, 2026, needs more optimization.
17 97 0.168538226162 Henry Cohn, 2026, needs more optimization.
17 98 0.168603491172 Henry Cohn, 2026, needs more optimization.
17 99 0.168672903134 Henry Cohn, 2026, needs more optimization.
17 100 0.168675190337 Henry Cohn, 2026, needs more optimization.
17 101 0.168690039352 Henry Cohn, 2026, needs more optimization.
17 102 0.170743404074 Henry Cohn, 2026, needs more optimization.
17 104 0.170751369934 Henry Cohn, 2026, needs more optimization.
17 105 0.170751990216 Henry Cohn, 2026, needs more optimization.
17 106 0.170751990218 Henry Cohn, 2026, needs more optimization.
17 107 0.170761751944 Henry Cohn, 2026, needs more optimization.
17 108 0.175086042960 Henry Cohn, 2026, needs more optimization.
17 109 0.179936438683 Henry Cohn, 2026, needs more optimization.
17 110 0.180294522173 Henry Cohn, 2026, needs more optimization.
17 111 0.182491908727 Henry Cohn, 2026, needs more optimization.
17 115 0.184252183279 Henry Cohn, 2026.
17 116 0.184847526058 Henry Cohn, 2026, needs more optimization.
17 117 0.186673447425 Henry Cohn, 2026, needs more optimization.
17 118 0.190910319598 Henry Cohn, 2026, needs more optimization.
17 119 0.191894554206 Henry Cohn, 2026, needs more optimization.
17 120 0.192193534430 Henry Cohn, 2026, needs more optimization.
17 121 0.192294195008 Henry Cohn, 2026, needs more optimization.
17 122 0.192377889101 Henry Cohn, 2026, needs more optimization.
17 123 0.192451522909 Henry Cohn, 2026, needs more optimization.
17 124 0.192970558275 Henry Cohn, 2026, needs more optimization.
17 125 0.192982403224 Henry Cohn, 2026, needs more optimization.
17 126 0.193185279627 Henry Cohn, 2026, needs more optimization.
17 127 0.194783025606 Henry Cohn, 2026, needs more optimization.
17 128 0.196261516361 Henry Cohn, 2026, needs more optimization.
17 129 0.196782248836 Henry Cohn, 2026, needs more optimization.
17 130 0.198322328341 Henry Cohn, 2026, needs more optimization.
17 131 0.199009305537 Henry Cohn, 2026, needs more optimization.
17 132 0.199042801579 Henry Cohn, 2026, needs more optimization.
17 133 0.199562777734 Henry Cohn, 2026, needs more optimization.
17 134 0.199819741092 Henry Cohn, 2026, needs more optimization.
17 135 0.199911380371 Henry Cohn, 2026, needs more optimization.
17 136 0.199978060530 Henry Cohn, 2026, needs more optimization.
17 137 0.199989764450 Henry Cohn, 2026, needs more optimization.
17 138 0.200099567383 Henry Cohn, 2026, needs more optimization.
17 139 0.200188662697 Henry Cohn, 2026, needs more optimization.
17 140 0.200344302493 Henry Cohn, 2026, needs more optimization.
17 141 0.202819956056 Henry Cohn, 2026, needs more optimization.
17 142 0.202851463022 Henry Cohn, 2026, needs more optimization.
17 143 0.202863811415 Henry Cohn, 2026, needs more optimization.
17 144 0.202883655975 Henry Cohn, 2026, needs more optimization.
17 146 0.202890799253 Henry Cohn, 2026, needs more optimization.
17 148 0.202893418199 Henry Cohn, 2026, needs more optimization.
17 150 0.202894858777 Henry Cohn, 2026, needs more optimization.
17 151 0.202899805483 Henry Cohn, 2026, needs more optimization.
17 152 0.202909339623 Henry Cohn, 2026, needs more optimization.
17 153 0.202909339676 Henry Cohn, 2026, needs more optimization.
17 161 0.202913709779 Code with 159 points in 16 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.
44⁢x2−4⁢x−1
17 162 0.202913709779 Henry Cohn, 2026.
44⁢x2−4⁢x−1
17 163 0.202914234056 Henry Cohn, 2026, needs more optimization.
17 164 0.202921018479 Henry Cohn, 2026, needs more optimization.
17 165 0.203273299343 Henry Cohn, 2026, needs more optimization.
17 167 0.209702108524 Henry Cohn, 2026, needs more optimization.
17 168 0.209702108526 Henry Cohn, 2026, needs more optimization.
17 177 0.214580576913 Henry Cohn, 2026.
59⁢x2−8⁢x−1
17 178 0.215894024704 Henry Cohn, 2026, needs more optimization.
17 179 0.223840974967 Henry Cohn, 2026, needs more optimization.
17 180 0.224786907125 Henry Cohn, 2026, needs more optimization.
17 181 0.227669966811 Henry Cohn, 2026, needs more optimization.
17 188 0.228481712325 Henry Cohn, 2026.
17 192 0.228757976713 Henry Cohn, 2026, needs more optimization.
17 193 0.233321856997 Henry Cohn, 2026, needs more optimization.
17 194 0.234630427722 Henry Cohn, 2026, needs more optimization.
17 195 0.235972261271 Henry Cohn, 2026, needs more optimization.
17 196 0.237315448109 Henry Cohn, 2026, needs more optimization.
17 197 0.238449635905 Henry Cohn, 2026, needs more optimization.
17 198 0.239225087719 Henry Cohn, 2026, needs more optimization.
17 199 0.240177214819 Henry Cohn, 2026, needs more optimization.
17 200 0.242007907515 Henry Cohn, 2026, needs more optimization.
17 201 0.242237349808 Henry Cohn, 2026, needs more optimization.
17 202 0.242885143643 Henry Cohn, 2026, needs more optimization.
17 203 0.243661470973 Henry Cohn, 2026, needs more optimization.
17 204 0.243837953416 Henry Cohn, 2026, needs more optimization.
17 205 0.244357951793 Henry Cohn, 2026, needs more optimization.
17 206 0.244543986332 Henry Cohn, 2026, needs more optimization.
17 207 0.244828742733 Henry Cohn, 2026, needs more optimization.
17 208 0.244963471087 Henry Cohn, 2026, needs more optimization.
17 209 0.245159976024 Henry Cohn, 2026, needs more optimization.
17 210 0.245838066197 Henry Cohn, 2026, needs more optimization.
17 211 0.246209467061 Henry Cohn, 2026, needs more optimization.
17 212 0.246496065299 Henry Cohn, 2026, needs more optimization.
17 213 0.246559865396 Henry Cohn, 2026, needs more optimization.
17 214 0.246948367915 Henry Cohn, 2026, needs more optimization.
17 215 0.247293167577 Henry Cohn, 2026, needs more optimization.
17 216 0.247412941739 Henry Cohn, 2026, needs more optimization.
17 217 0.247584589770 Henry Cohn, 2026, needs more optimization.
17 218 0.247865298023 Henry Cohn, 2026, needs more optimization.
17 219 0.248140322512 Henry Cohn, 2026, needs more optimization.
17 220 0.248255539843 Henry Cohn, 2026, needs more optimization.
17 221 0.248424478818 Henry Cohn, 2026, needs more optimization.
17 222 0.248531734912 Henry Cohn, 2026, needs more optimization.
17 223 0.248755619885 Henry Cohn, 2026, needs more optimization.
17 224 0.249060211765 Henry Cohn, 2026, needs more optimization.
17 225 0.249132652196 Henry Cohn, 2026, needs more optimization.
17 226 0.249296673345 Henry Cohn, 2026, needs more optimization.
17 227 0.249309570189 Henry Cohn, 2026, needs more optimization.
17 228 0.249324770936 Henry Cohn, 2026, needs more optimization.
17 229 0.249405427577 Henry Cohn, 2026, needs more optimization.
17 230 0.249479996450 Henry Cohn, 2026, needs more optimization.
17 231 0.249585393446 Henry Cohn, 2026, needs more optimization.
17 232 0.249588220883 Henry Cohn, 2026, needs more optimization.
17 233 0.249602355638 Henry Cohn, 2026, needs more optimization.
17 234 0.249644681838 Henry Cohn, 2026, needs more optimization.
17 235 0.249670528277 Henry Cohn, 2026, needs more optimization.
17 236 0.249673518578 Henry Cohn, 2026, needs more optimization.
17 237 0.249712912315 Henry Cohn, 2026, needs more optimization.
17 238 0.249742241156 Henry Cohn, 2026, needs more optimization.
17 239 0.249758969800 Henry Cohn, 2026, needs more optimization.
17 240 0.249772313572 Henry Cohn, 2026, needs more optimization.
17 241 0.249794739779 Henry Cohn, 2026, needs more optimization.
17 242 0.249812790373 Henry Cohn, 2026, needs more optimization.
17 243 0.249845449299 Henry Cohn, 2026, needs more optimization.
17 244 0.249853547579 Henry Cohn, 2026, needs more optimization.
17 245 0.249865440342 Henry Cohn, 2026, needs more optimization.
17 246 0.249886685906 Henry Cohn, 2026, needs more optimization.
17 247 0.249928464327 Henry Cohn, 2026, needs more optimization.
17 248 0.249931358647 Henry Cohn, 2026, needs more optimization.
17 249 0.249942614515 Henry Cohn, 2026, needs more optimization.
17 250 0.249946000212 Henry Cohn, 2026, needs more optimization.
17 251 0.249981389482 Henry Cohn, 2026, needs more optimization.
17 292 0.25 Henry Cohn, 2026.
4⁢x−1
17 294 0.250000277135 Henry Cohn, 2026, needs more optimization.
17 295 0.250779409828 Henry Cohn, 2026, needs more optimization.
17 296 0.254276393994 Henry Cohn, 2026, needs more optimization.
17 297 0.255643215429 Henry Cohn, 2026, needs more optimization.
17 298 0.260006083011 Henry Cohn, 2026, needs more optimization.
17 299 0.261085400254 Henry Cohn, 2026, needs more optimization.
17 300 0.261086303201 Henry Cohn, 2026, needs more optimization.
17 301 0.261087251873 Henry Cohn, 2026, needs more optimization.
17 302 0.261087855378 Henry Cohn, 2026, needs more optimization.
17 303 0.261088537936 Henry Cohn, 2026, needs more optimization.
17 304 0.261090027860 Henry Cohn, 2026, needs more optimization.
17 305 0.261090844846 Henry Cohn, 2026, needs more optimization.
17 306 0.261091713699 Henry Cohn, 2026, needs more optimization.
17 307 0.261092290293 Henry Cohn, 2026, needs more optimization.
17 308 0.261094010900 Henry Cohn, 2026, needs more optimization.
17 309 0.261094118638 Henry Cohn, 2026, needs more optimization.
17 310 0.261094122089 Henry Cohn, 2026, needs more optimization.
17 311 0.261094125370 Henry Cohn, 2026, needs more optimization.
17 312 0.261094131104 Henry Cohn, 2026, needs more optimization.
17 313 0.261094132495 Henry Cohn, 2026, needs more optimization.
17 314 0.261094133860 Henry Cohn, 2026, needs more optimization.
17 315 0.261094136220 Henry Cohn, 2026, needs more optimization.
17 316 0.261094138755 Henry Cohn, 2026, needs more optimization.
17 317 0.261094141397 Henry Cohn, 2026, needs more optimization.
17 318 0.261094143319 Henry Cohn, 2026, needs more optimization.
17 319 0.261094145756 Henry Cohn, 2026, needs more optimization.
17 320 0.261094152773 Henry Cohn, 2026, needs more optimization.
17 321 0.281925957884 Henry Cohn, 2026, needs more optimization.
17 322 0.286736157789 Henry Cohn, 2026, needs more optimization.
17 323 0.289616897823 Henry Cohn, 2026, needs more optimization.
17 324 0.291742226312 Henry Cohn, 2026, needs more optimization.
17 325 0.293652251490 Henry Cohn, 2026, needs more optimization.
17 326 0.295127211155 Henry Cohn, 2026, needs more optimization.
17 327 0.296741697893 Henry Cohn, 2026, needs more optimization.
17 328 0.298796541703 Henry Cohn, 2026, needs more optimization.
17 329 0.300042984477 Henry Cohn, 2026, needs more optimization.
17 330 0.301274473764 Henry Cohn, 2026, needs more optimization.
17 331 0.302163980173 Henry Cohn, 2026, needs more optimization.
17 332 0.303316287489 Henry Cohn, 2026, needs more optimization.
17 333 0.303320185757 Henry Cohn, 2026, needs more optimization.
17 334 0.303323126350 Henry Cohn, 2026, needs more optimization.
17 335 0.303325377514 Henry Cohn, 2026, needs more optimization.
17 336 0.303326997217 Henry Cohn, 2026, needs more optimization.
17 337 0.303329444411 Henry Cohn, 2026, needs more optimization.
17 338 0.303332141258 Henry Cohn, 2026, needs more optimization.
17 339 0.303338510700 Henry Cohn, 2026, needs more optimization.
17 340 0.303775317201 Henry Cohn, 2026, needs more optimization.
17 341 0.303811792411 Henry Cohn, 2026, needs more optimization.
17 342 0.303846049621 Henry Cohn, 2026, needs more optimization.
17 343 0.305588520353 Henry Cohn, 2026, needs more optimization.
17 344 0.305592786730 Henry Cohn, 2026, needs more optimization.
17 345 0.306302192570 Henry Cohn, 2026, needs more optimization.
17 346 0.306302226145 Henry Cohn, 2026, needs more optimization.
17 347 0.306302320059 Henry Cohn, 2026, needs more optimization.
17 348 0.312354218312 Henry Cohn, 2026, needs more optimization.
17 349 0.314454582335 Henry Cohn, 2026, needs more optimization.
17 350 0.315715618091 Henry Cohn, 2026, needs more optimization.
17 351 0.316734690991 Henry Cohn, 2026, needs more optimization.
17 352 0.317464903163 Henry Cohn, 2026, needs more optimization.
17 353 0.318214474288 Henry Cohn, 2026, needs more optimization.
17 354 0.318990757370 Henry Cohn, 2026, needs more optimization.
17 355 0.319838194470 Henry Cohn, 2026, needs more optimization.
17 356 0.320326558036 Henry Cohn, 2026, needs more optimization.
17 357 0.320754039097 Henry Cohn, 2026, needs more optimization.
17 358 0.321447560570 Henry Cohn, 2026, needs more optimization.
17 359 0.321851011044 Henry Cohn, 2026, needs more optimization.
17 360 0.322374693630 Henry Cohn, 2026, needs more optimization.
17 361 0.326287109049 Henry Cohn, 2026, needs more optimization.
17 362 0.326413616480 Henry Cohn, 2026, needs more optimization.
17 363 0.327426785648 Henry Cohn, 2026, needs more optimization.
17 364 0.327558863710 Henry Cohn, 2026, needs more optimization.
17 365 0.327649701902 Henry Cohn, 2026, needs more optimization.
17 366 0.328504327553 Henry Cohn, 2026, needs more optimization.
17 367 0.329539611120 Henry Cohn, 2026, needs more optimization.
17 368 0.329892135461 Henry Cohn, 2026, needs more optimization.
17 369 0.330052270025 Henry Cohn, 2026, needs more optimization.
17 370 0.330758394903 Henry Cohn, 2026, needs more optimization.
17 371 0.331447946508 Henry Cohn, 2026, needs more optimization.
17 372 0.331524129496 Henry Cohn, 2026, needs more optimization.
17 373 0.332063148077 Henry Cohn, 2026, needs more optimization.
17 374 0.332652299790 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. T. Zhaowei, 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
17 579 0.352164318368 Henry Cohn, 2026, needs more optimization.
17 580 0.354531237961 Henry Cohn, 2026, needs more optimization.
17 581 0.358035748378 Henry Cohn, 2026, needs more optimization.
17 612 0.36 Henry Cohn, 2026.
25⁢x−9
17 613 0.362739159755 Henry Cohn, 2026, needs more optimization.
17 614 0.362768988437 Henry Cohn, 2026, needs more optimization.
17 615 0.362788160815 Henry Cohn, 2026, needs more optimization.
17 616 0.362885239908 Henry Cohn, 2026, needs more optimization.
17 617 0.362907394941 Henry Cohn, 2026, needs more optimization.
17 618 0.363252331572 Henry Cohn, 2026, needs more optimization.
17 619 0.363298072307 Henry Cohn, 2026, needs more optimization.
17 620 0.363339027354 Henry Cohn, 2026, needs more optimization.
17 621 0.363389623709 Henry Cohn, 2026, needs more optimization.
17 622 0.363407001384 Henry Cohn, 2026, needs more optimization.
17 623 0.363427629983 Henry Cohn, 2026, needs more optimization.
17 624 0.363543447637 Henry Cohn, 2026, needs more optimization.
17 625 0.363584699974 Henry Cohn, 2026, needs more optimization.
17 626 0.363672482333 Henry Cohn, 2026, needs more optimization.
17 627 0.364713588312 Henry Cohn, 2026, needs more optimization.
17 628 0.364728548517 Henry Cohn, 2026, needs more optimization.
17 629 0.364731381704 Henry Cohn, 2026, needs more optimization.
17 630 0.364757035525 Henry Cohn, 2026, needs more optimization.
17 631 0.364758572127 Henry Cohn, 2026, needs more optimization.
17 632 0.364894204546 Henry Cohn, 2026, needs more optimization.
17 633 0.365025882901 Henry Cohn, 2026, needs more optimization.
17 634 0.365056499288 Henry Cohn, 2026, needs more optimization.
17 635 0.365113785711 Henry Cohn, 2026, needs more optimization.
17 636 0.366047369637 Henry Cohn, 2026, needs more optimization.
17 637 0.366078244809 Henry Cohn, 2026, needs more optimization.
17 638 0.366107715097 Henry Cohn, 2026, needs more optimization.
17 639 0.366112172512 Henry Cohn, 2026, needs more optimization.
17 640 0.366136404888 Henry Cohn, 2026, needs more optimization.
17 641 0.366330418868 Henry Cohn, 2026, needs more optimization.
17 642 0.366503265119 Henry Cohn, 2026, needs more optimization.
17 643 0.366521857620 Henry Cohn, 2026, needs more optimization.
17 644 0.366793168000 Henry Cohn, 2026, needs more optimization.
17 645 0.366803725624 Henry Cohn, 2026, needs more optimization.
17 646 0.366813429051 Henry Cohn, 2026, needs more optimization.
17 647 0.366839984772 Henry Cohn, 2026, needs more optimization.
17 648 0.366918382810 Henry Cohn, 2026, needs more optimization.
17 649 0.366939671957 Henry Cohn, 2026, needs more optimization.
17 650 0.367064289996 Henry Cohn, 2026, needs more optimization.
17 651 0.367067604431 Henry Cohn, 2026, needs more optimization.
17 652 0.367073450853 Henry Cohn, 2026, needs more optimization.
17 653 0.367076756651 Henry Cohn, 2026, needs more optimization.
17 654 0.367079686440 Henry Cohn, 2026, needs more optimization.
17 655 0.367089380209 Henry Cohn, 2026, needs more optimization.
17 656 0.367094099667 Henry Cohn, 2026, needs more optimization.
17 657 0.367101291990 Henry Cohn, 2026, needs more optimization.
17 658 0.367114345988 Henry Cohn, 2026, needs more optimization.
17 659 0.367118748796 Henry Cohn, 2026, needs more optimization.
17 660 0.367176925684 Henry Cohn, 2026, needs more optimization.
17 661 0.367180418399 Henry Cohn, 2026, needs more optimization.
17 662 0.367185913246 Henry Cohn, 2026, needs more optimization.
17 663 0.367192641818 Henry Cohn, 2026, needs more optimization.
17 664 0.367197210729 Henry Cohn, 2026, needs more optimization.
17 665 0.367201452361 Henry Cohn, 2026, needs more optimization.
17 666 0.367215714155 Henry Cohn, 2026, needs more optimization.
17 667 0.367230307079 Henry Cohn, 2026, needs more optimization.
17 668 0.367244322113 Henry Cohn, 2026, needs more optimization.
17 669 0.367256292594 Henry Cohn, 2026, needs more optimization.
17 670 0.367269703419 Henry Cohn, 2026, needs more optimization.
17 671 0.367301571370 Henry Cohn, 2026, needs more optimization.
17 672 0.367324313437 Henry Cohn, 2026, needs more optimization.
17 673 0.367360629995 Henry Cohn, 2026, needs more optimization.
17 674 0.367435531814 Henry Cohn, 2026, needs more optimization.
17 675 0.367478596552 Henry Cohn, 2026, needs more optimization.
17 676 0.367545909341 Henry Cohn, 2026, needs more optimization.
17 677 0.367668078974 Henry Cohn, 2026, needs more optimization.
17 678 0.367913600333 Henry Cohn, 2026, needs more optimization.
17 679 0.368028094434 Henry Cohn, 2026, needs more optimization.
17 680 0.368077096881 Henry Cohn, 2026, needs more optimization.
17 681 0.368488630302 Henry Cohn, 2026, needs more optimization.
17 682 0.368829963331 Henry Cohn, 2026, needs more optimization.
17 683 0.370309606833 Henry Cohn, 2026, needs more optimization.
17 684 0.370313420874 Henry Cohn, 2026, needs more optimization.
17 685 0.370520293438 Henry Cohn, 2026, needs more optimization.
17 686 0.370572661985 Henry Cohn, 2026, needs more optimization.
17 687 0.370574576261 Henry Cohn, 2026, needs more optimization.
17 688 0.370662301033 Henry Cohn, 2026, needs more optimization.
17 689 0.370668243341 Henry Cohn, 2026, needs more optimization.
17 690 0.370673914386 Henry Cohn, 2026, needs more optimization.
17 691 0.370681387888 Henry Cohn, 2026, needs more optimization.
17 692 0.370689632038 Henry Cohn, 2026, needs more optimization.
17 693 0.370709624926 Henry Cohn, 2026, needs more optimization.
17 694 0.370729324216 Henry Cohn, 2026, needs more optimization.
17 695 0.370741353207 Henry Cohn, 2026, needs more optimization.
17 696 0.370761676425 Henry Cohn, 2026, needs more optimization.
17 697 0.370770932374 Henry Cohn, 2026, needs more optimization.
17 698 0.370781689051 Henry Cohn, 2026, needs more optimization.
17 699 0.370813139150 Henry Cohn, 2026, needs more optimization.
17 700 0.370867261663 Henry Cohn, 2026, needs more optimization.
17 701 0.370906789746 Henry Cohn, 2026, needs more optimization.
17 702 0.370964483217 Henry Cohn, 2026, needs more optimization.
17 703 0.370971950667 Henry Cohn, 2026, needs more optimization.
17 704 0.370978858511 Henry Cohn, 2026, needs more optimization.
17 705 0.370983302080 Henry Cohn, 2026, needs more optimization.
17 706 0.370988856355 Henry Cohn, 2026, needs more optimization.
17 707 0.370992746915 Henry Cohn, 2026, needs more optimization.
17 708 0.370998922753 Henry Cohn, 2026, needs more optimization.
17 709 0.371186124991 Henry Cohn, 2026, needs more optimization.
17 710 0.371207116809 Henry Cohn, 2026, needs more optimization.
17 711 0.371215856938 Henry Cohn, 2026, needs more optimization.
17 712 0.371221386475 Henry Cohn, 2026, needs more optimization.
17 713 0.371245701745 Henry Cohn, 2026, needs more optimization.
17 714 0.371255047277 Henry Cohn, 2026, needs more optimization.
17 715 0.371261808393 Henry Cohn, 2026, needs more optimization.
17 716 0.371269031097 Henry Cohn, 2026, needs more optimization.
17 717 0.371280676944 Henry Cohn, 2026, needs more optimization.
17 718 0.371290791366 Henry Cohn, 2026, needs more optimization.
17 719 0.371302905174 Henry Cohn, 2026, needs more optimization.
17 720 0.371322487672 Henry Cohn, 2026, needs more optimization.
17 721 0.371337506024 Henry Cohn, 2026, needs more optimization.
17 722 0.371350309235 Henry Cohn, 2026, needs more optimization.
17 723 0.371372313051 Henry Cohn, 2026, needs more optimization.
17 724 0.371415596554 Henry Cohn, 2026, needs more optimization.
17 725 0.371501878278 Henry Cohn, 2026, needs more optimization.
17 726 0.371525293432 Henry Cohn, 2026, needs more optimization.
17 727 0.371718486346 Henry Cohn, 2026, needs more optimization.
17 728 0.371757283549 Henry Cohn, 2026, needs more optimization.
17 729 0.371962241100 Henry Cohn, 2026, needs more optimization.
17 730 0.372009491005 Henry Cohn, 2026, needs more optimization.
17 731 0.372024283374 Henry Cohn, 2026, needs more optimization.
17 732 0.372037500977 Henry Cohn, 2026, needs more optimization.
17 733 0.372094975896 Henry Cohn, 2026, needs more optimization.
17 736 0.372740425979 Henry Cohn, 2026, needs more optimization.
17 737 0.372765189441 Henry Cohn, 2026, needs more optimization.
17 738 0.372804614949 Henry Cohn, 2026, needs more optimization.
17 739 0.372838502324 Henry Cohn, 2026, needs more optimization.
17 740 0.372998027307 Henry Cohn, 2026, needs more optimization.
17 741 0.373108131790 Henry Cohn, 2026, needs more optimization.
17 742 0.373364200177 Henry Cohn, 2026, needs more optimization.
17 743 0.378164348408 Henry Cohn, 2026, needs more optimization.
17 744 0.378167220070 Henry Cohn, 2026, needs more optimization.
17 745 0.378185609382 Henry Cohn, 2026, needs more optimization.
17 746 0.378188112187 Henry Cohn, 2026, needs more optimization.
17 747 0.378333253266 Henry Cohn, 2026, needs more optimization.
17 748 0.378336891006 Henry Cohn, 2026, needs more optimization.
17 749 0.378366685495 Henry Cohn, 2026, needs more optimization.
17 750 0.378370746004 Henry Cohn, 2026, needs more optimization.
17 751 0.378375568852 Henry Cohn, 2026, needs more optimization.
17 752 0.378382855786 Henry Cohn, 2026, needs more optimization.
17 753 0.378391424036 Henry Cohn, 2026, needs more optimization.
17 754 0.378398386474 Henry Cohn, 2026, needs more optimization.
17 755 0.378411571250 Henry Cohn, 2026, needs more optimization.
17 756 0.378413584263 Henry Cohn, 2026, needs more optimization.
17 757 0.378506397751 Henry Cohn, 2026, needs more optimization.
17 758 0.378511359151 Henry Cohn, 2026, needs more optimization.
17 759 0.378513124919 Henry Cohn, 2026, needs more optimization.
17 760 0.378516942778 Henry Cohn, 2026, needs more optimization.
17 761 0.378517930247 Henry Cohn, 2026, needs more optimization.
17 762 0.378518838225 Henry Cohn, 2026, needs more optimization.
17 763 0.378520766299 Henry Cohn, 2026, needs more optimization.
17 764 0.378543191676 Henry Cohn, 2026, needs more optimization.
17 765 0.378544882615 Henry Cohn, 2026, needs more optimization.
17 766 0.378550576293 Henry Cohn, 2026, needs more optimization.
17 767 0.378551689632 Henry Cohn, 2026, needs more optimization.
17 768 0.378554381565 Henry Cohn, 2026, needs more optimization.
17 772 0.399996346965 Henry Cohn, 2026, needs more optimization.
17 1024 0.4 Henry Cohn, 2026, subcode of a code of size 1088.
5⁢x−2
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 0.050097352046 Henry Cohn, 2025.
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 0.063513513654 Henry Cohn, 2023.
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 0.084307972943 Henry Cohn, 2026, needs more optimization.
18 54 0.084331772485 Henry Cohn, 2026, needs more optimization.
18 55 0.087707155784 Henry Cohn, 2025.
18 57 0.092724727985 Henry Cohn, 2025.
332⁢x2−20⁢x−1
18 59 0.096317631192 Henry Cohn, 2025.
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.
18 72 0.109540130282 Henry Cohn, 2026.
18 73 0.117134464846 Henry Cohn, 2026, needs more optimization.
18 74 0.120049808519 Henry Cohn, 2026, needs more optimization.
18 75 0.120367585573 Henry Cohn, 2026, needs more optimization.
18 76 0.122043871163 Henry Cohn, 2026, needs more optimization.
18 77 0.123493542007 Henry Cohn, 2026, needs more optimization.
18 78 0.125804804449 Henry Cohn, 2026, needs more optimization.
18 80 0.126224060072 Henry Cohn, 2026, needs more optimization.
18 81 0.126904281672 Henry Cohn, 2026, needs more optimization.
18 82 0.127626483898 Henry Cohn, 2026, needs more optimization.
18 83 0.129098755667 Henry Cohn, 2026, needs more optimization.
18 84 0.130579477836 Henry Cohn, 2026, needs more optimization.
18 85 0.132294284165 Henry Cohn, 2026, needs more optimization.
18 86 0.132700069009 Henry Cohn, 2026, needs more optimization.
18 87 0.133673120247 Henry Cohn, 2026.
18 88 0.134264346430 Henry Cohn, 2025.
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.
18 99 0.164304351005 Henry Cohn, 2026, needs more optimization.
18 100 0.167503290084 Henry Cohn, 2026, needs more optimization.
18 101 0.167552867954 Henry Cohn, 2026, needs more optimization.
18 102 0.168066784104 Henry Cohn, 2026, needs more optimization.
18 103 0.168582533530 Henry Cohn, 2026, needs more optimization.
18 104 0.168996259570 Henry Cohn, 2026, needs more optimization.
18 105 0.168996259813 Henry Cohn, 2026, needs more optimization.
18 106 0.169219168427 Henry Cohn, 2026, needs more optimization.
18 107 0.169525711924 Henry Cohn, 2026, needs more optimization.
18 108 0.170156095666 Henry Cohn, 2026, needs more optimization.
18 109 0.170282176067 Henry Cohn, 2026, needs more optimization.
18 110 0.170589457559 Henry Cohn, 2026, needs more optimization.
18 111 0.170818675894 Henry Cohn, 2026, needs more optimization.
18 112 0.171227356448 Henry Cohn, 2026, needs more optimization.
18 113 0.172922506077 Henry Cohn, 2026, needs more optimization.
18 114 0.174636687826 Henry Cohn, 2026, needs more optimization.
18 115 0.177175825755 Henry Cohn, 2026, needs more optimization.
18 116 0.179458481184 Henry Cohn, 2026, needs more optimization.
18 117 0.181388679968 Henry Cohn, 2026, needs more optimization.
18 118 0.183022545799 Henry Cohn, 2026, needs more optimization.
18 119 0.184590358550 Henry Cohn, 2026, needs more optimization.
18 120 0.185137714617 Henry Cohn, 2026, needs more optimization.
18 121 0.185552099422 Henry Cohn, 2026, needs more optimization.
18 122 0.186958434159 Henry Cohn, 2026, needs more optimization.
18 123 0.188113485794 Henry Cohn, 2026, needs more optimization.
18 130 0.189193290536 Henry Cohn, 2026, needs more optimization.
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 0.193070622507 Henry Cohn, 2026, needs more optimization.
18 134 0.193719906761 Henry Cohn, 2026, needs more optimization.
18 135 0.194298207719 Henry Cohn, 2026, needs more optimization.
18 136 0.194621813518 Henry Cohn, 2026, needs more optimization.
18 137 0.194954296434 Henry Cohn, 2026, needs more optimization.
18 138 0.195229084015 Henry Cohn, 2026, needs more optimization.
18 140 0.195281232517 Henry Cohn, 2026, needs more optimization.
18 141 0.196490496239 Henry Cohn, 2026, needs more optimization.
18 142 0.196919684421 Henry Cohn, 2026, needs more optimization.
18 145 0.197324459276 Henry Cohn, 2026, needs more optimization.
18 146 0.197533592821 Henry Cohn, 2026, needs more optimization.
18 147 0.197852375721 Henry Cohn, 2026, needs more optimization.
18 148 0.198476467597 Henry Cohn, 2026, needs more optimization.
18 149 0.199485462332 Henry Cohn, 2026, needs more optimization.
18 150 0.199795453102 Henry Cohn, 2026, needs more optimization.
18 151 0.199901375807 Henry Cohn, 2026, needs more optimization.
18 152 0.200531945117 Henry Cohn, 2026, needs more optimization.
18 153 0.200893406850 Henry Cohn, 2026, needs more optimization.
18 154 0.201227853438 Henry Cohn, 2026, needs more optimization.
18 155 0.201327659835 Henry Cohn, 2026, needs more optimization.
18 156 0.201466840602 Henry Cohn, 2026, needs more optimization.
18 157 0.201562319780 Henry Cohn, 2026, needs more optimization.
18 158 0.201575084771 Henry Cohn, 2026, needs more optimization.
18 159 0.201635758925 Henry Cohn, 2026, needs more optimization.
18 160 0.201667601115 Henry Cohn, 2026, needs more optimization.
18 161 0.202268702085 Henry Cohn, 2026, needs more optimization.
18 162 0.202315125431 Henry Cohn, 2026, needs more optimization.
18 163 0.202373950268 Henry Cohn, 2026, needs more optimization.
18 164 0.202387496934 Henry Cohn, 2026, needs more optimization.
18 165 0.202703580149 Henry Cohn, 2026, needs more optimization.
18 166 0.202859057711 Henry Cohn, 2026, needs more optimization.
18 167 0.202897795119 Henry Cohn, 2026, needs more optimization.
18 168 0.202918032236 Henry Cohn, 2026, needs more optimization.
18 169 0.202919784844 Henry Cohn, 2026, needs more optimization.
18 170 0.202919906171 Henry Cohn, 2026, needs more optimization.
18 171 0.203077346262 Henry Cohn, 2026, needs more optimization.
18 172 0.204257770576 Henry Cohn, 2026, needs more optimization.
18 173 0.206295819328 Henry Cohn, 2026, needs more optimization.
18 174 0.208717107196 Henry Cohn, 2026, needs more optimization.
18 175 0.212085260911 Henry Cohn, 2026, needs more optimization.
18 179 0.214580042766 Henry Cohn, 2026, needs more optimization.
18 180 0.214580042773 Henry Cohn, 2026, needs more optimization.
18 181 0.214580603161 Henry Cohn, 2026, needs more optimization.
18 184 0.214580882717 Henry Cohn, 2026, needs more optimization.
18 186 0.214580882720 Henry Cohn, 2026, needs more optimization.
18 187 0.214589986335 Henry Cohn, 2026, needs more optimization.
18 188 0.216510191169 Henry Cohn, 2026, needs more optimization.
18 189 0.217823136250 Henry Cohn, 2026, needs more optimization.
18 190 0.219940676166 Henry Cohn, 2026, needs more optimization.
18 191 0.221443121817 Henry Cohn, 2026, needs more optimization.
18 192 0.223219832885 Henry Cohn, 2026, needs more optimization.
18 205 0.224489795919 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.
49⁢x−11
18 206 0.227401307941 Henry Cohn, 2026, needs more optimization.
18 207 0.228475738647 Henry Cohn, 2026, needs more optimization.
18 208 0.229745867064 Henry Cohn, 2026, needs more optimization.
18 209 0.230550613899 Henry Cohn, 2026, needs more optimization.
18 210 0.230995786416 Henry Cohn, 2026, needs more optimization.
18 211 0.231265700956 Henry Cohn, 2026, needs more optimization.
18 212 0.232480968118 Henry Cohn, 2026, needs more optimization.
18 213 0.233085698240 Henry Cohn, 2026, needs more optimization.
18 214 0.233131847677 Henry Cohn, 2026, needs more optimization.
18 215 0.233477430861 Henry Cohn, 2026, needs more optimization.
18 216 0.235087851253 Henry Cohn, 2026, needs more optimization.
18 217 0.235823264119 Henry Cohn, 2026, needs more optimization.
18 218 0.237011138788 Henry Cohn, 2026, needs more optimization.
18 219 0.237603753005 Henry Cohn, 2026, needs more optimization.
18 220 0.238605174416 Henry Cohn, 2026, needs more optimization.
18 221 0.239741954987 Henry Cohn, 2026, needs more optimization.
18 222 0.240338768640 Henry Cohn, 2026, needs more optimization.
18 223 0.241199294323 Henry Cohn, 2026, needs more optimization.
18 224 0.241540551192 Henry Cohn, 2026, needs more optimization.
18 225 0.241646484289 Henry Cohn, 2026, needs more optimization.
18 226 0.241768327060 Henry Cohn, 2026, needs more optimization.
18 227 0.241904513428 Henry Cohn, 2026, needs more optimization.
18 228 0.242081626011 Henry Cohn, 2026, needs more optimization.
18 229 0.242323133165 Henry Cohn, 2026, needs more optimization.
18 230 0.242428778267 Henry Cohn, 2026, needs more optimization.
18 231 0.242553779632 Henry Cohn, 2026, needs more optimization.
18 232 0.242826454468 Henry Cohn, 2026, needs more optimization.
18 233 0.243061562361 Henry Cohn, 2026, needs more optimization.
18 234 0.243542004476 Henry Cohn, 2026, needs more optimization.
18 235 0.243858126164 Henry Cohn, 2026, needs more optimization.
18 236 0.243998962045 Henry Cohn, 2026, needs more optimization.
18 237 0.244149418003 Henry Cohn, 2026, needs more optimization.
18 238 0.244364150899 Henry Cohn, 2026, needs more optimization.
18 241 0.244808799770 Henry Cohn, 2026, needs more optimization.
18 242 0.244820757658 Henry Cohn, 2026, needs more optimization.
18 243 0.244863432778 Henry Cohn, 2026, needs more optimization.
18 244 0.245212956511 Henry Cohn, 2026, needs more optimization.
18 245 0.245254150803 Henry Cohn, 2026, needs more optimization.
18 246 0.245276777096 Henry Cohn, 2026, needs more optimization.
18 248 0.245387636522 Henry Cohn, 2026, needs more optimization.
18 249 0.245536656842 Henry Cohn, 2026, needs more optimization.
18 250 0.245627654686 Henry Cohn, 2026, needs more optimization.
18 251 0.245773349809 Henry Cohn, 2026, needs more optimization.
18 252 0.245833399565 Henry Cohn, 2026, needs more optimization.
18 253 0.245968562749 Henry Cohn, 2026, needs more optimization.
18 254 0.245970143882 Henry Cohn, 2026, needs more optimization.
18 256 0.246067070361 Henry Cohn, 2026, needs more optimization.
18 257 0.246124014719 Henry Cohn, 2026, needs more optimization.
18 258 0.247019805508 Henry Cohn, 2026, needs more optimization.
18 259 0.247040492917 Henry Cohn, 2026, needs more optimization.
18 260 0.247075617101 Henry Cohn, 2026, needs more optimization.
18 261 0.247106589978 Henry Cohn, 2026, needs more optimization.
18 262 0.247149816981 Henry Cohn, 2026, needs more optimization.
18 263 0.247180033159 Henry Cohn, 2026, needs more optimization.
18 264 0.247202560923 Henry Cohn, 2026, needs more optimization.
18 265 0.247271426159 Henry Cohn, 2026, needs more optimization.
18 266 0.247341828635 Henry Cohn, 2026, needs more optimization.
18 267 0.247376892717 Henry Cohn, 2026, needs more optimization.
18 268 0.247467619733 Henry Cohn, 2026, needs more optimization.
18 269 0.247474142751 Henry Cohn, 2026, needs more optimization.
18 270 0.247485365982 Henry Cohn, 2026, needs more optimization.
18 271 0.247527104009 Henry Cohn, 2026, needs more optimization.
18 272 0.247574168516 Henry Cohn, 2026, needs more optimization.
18 273 0.247582006648 Henry Cohn, 2026, needs more optimization.
18 274 0.247594186788 Henry Cohn, 2026, needs more optimization.
18 275 0.247626131441 Henry Cohn, 2026, needs more optimization.
18 276 0.247646419111 Henry Cohn, 2026, needs more optimization.
18 277 0.247700628484 Henry Cohn, 2026, needs more optimization.
18 278 0.247719852041 Henry Cohn, 2026, needs more optimization.
18 279 0.247739691570 Henry Cohn, 2026, needs more optimization.
18 280 0.247741668987 Henry Cohn, 2026, needs more optimization.
18 281 0.247790623265 Henry Cohn, 2026, needs more optimization.
18 282 0.247800395597 Henry Cohn, 2026, needs more optimization.
18 283 0.247855354547 Henry Cohn, 2026, needs more optimization.
18 284 0.247855356407 Henry Cohn, 2026, needs more optimization.
18 285 0.247856117220 Henry Cohn, 2026, needs more optimization.
18 286 0.247856125798 Henry Cohn, 2026, needs more optimization.
18 287 0.248234616680 Henry Cohn, 2026, needs more optimization.
18 288 0.248891328269 Henry Cohn, 2026, needs more optimization.
18 289 0.248931019081 Henry Cohn, 2026, needs more optimization.
18 290 0.249320869359 Henry Cohn, 2026, needs more optimization.
18 291 0.249401342871 Henry Cohn, 2026, needs more optimization.
18 292 0.249416490982 Henry Cohn, 2026, needs more optimization.
18 293 0.249664092861 Henry Cohn, 2026, needs more optimization.
18 294 0.249879188719 Henry Cohn, 2026, needs more optimization.
18 295 0.249879697781 Henry Cohn, 2026, needs more optimization.
18 296 0.249940048208 Henry Cohn, 2026, needs more optimization.
18 297 0.250012085916 Henry Cohn, 2026, needs more optimization.
18 298 0.250012372245 Henry Cohn, 2026, needs more optimization.
18 299 0.250013282084 Henry Cohn, 2026, needs more optimization.
18 300 0.250027778585 Henry Cohn, 2026, needs more optimization.
18 301 0.250029892668 Henry Cohn, 2026, needs more optimization.
18 302 0.250031463131 Henry Cohn, 2026, needs more optimization.
18 303 0.250058274181 Henry Cohn, 2026, needs more optimization.
18 304 0.250060001309 Henry Cohn, 2026, needs more optimization.
18 305 0.250230902510 Henry Cohn, 2026, needs more optimization.
18 306 0.250663139429 Henry Cohn, 2026, needs more optimization.
18 307 0.251247203319 Henry Cohn, 2026, needs more optimization.
18 308 0.252122284577 Henry Cohn, 2026, needs more optimization.
18 309 0.252672947174 Henry Cohn, 2026, needs more optimization.
18 310 0.253887838320 Henry Cohn, 2026, needs more optimization.
18 311 0.254902015415 Henry Cohn, 2026, needs more optimization.
18 312 0.256284389504 Henry Cohn, 2026, needs more optimization.
18 313 0.256975429403 Henry Cohn, 2026, needs more optimization.
18 314 0.258167609019 Henry Cohn, 2026, needs more optimization.
18 315 0.258916759058 Henry Cohn, 2026, needs more optimization.
18 316 0.258926511016 Henry Cohn, 2026, needs more optimization.
18 317 0.258966552482 Henry Cohn, 2026, needs more optimization.
18 318 0.258969929717 Henry Cohn, 2026, needs more optimization.
18 319 0.259089098658 Henry Cohn, 2026, needs more optimization.
18 320 0.259182107970 Henry Cohn, 2026, needs more optimization.
18 321 0.259190009079 Henry Cohn, 2026, needs more optimization.
18 322 0.259194823931 Henry Cohn, 2026, needs more optimization.
18 323 0.259251343056 Henry Cohn, 2026, needs more optimization.
18 324 0.259419103992 Henry Cohn, 2026, needs more optimization.
18 325 0.259866564028 Henry Cohn, 2026, needs more optimization.
18 326 0.259930242466 Henry Cohn, 2026, needs more optimization.
18 327 0.260109304834 Henry Cohn, 2026, needs more optimization.
18 328 0.260221092239 Henry Cohn, 2026, needs more optimization.
18 329 0.260441251974 Henry Cohn, 2026, needs more optimization.
18 330 0.260730650954 Henry Cohn, 2026, needs more optimization.
18 331 0.260733642354 Henry Cohn, 2026, needs more optimization.
18 332 0.260735381086 Henry Cohn, 2026, needs more optimization.
18 333 0.260738052386 Henry Cohn, 2026, needs more optimization.
18 334 0.260760371673 Henry Cohn, 2026, needs more optimization.
18 335 0.260773844463 Henry Cohn, 2026, needs more optimization.
18 336 0.260785705923 Henry Cohn, 2026, needs more optimization.
18 337 0.260830702665 Henry Cohn, 2026, needs more optimization.
18 338 0.260833403051 Henry Cohn, 2026, needs more optimization.
18 339 0.260845340334 Henry Cohn, 2026, needs more optimization.
18 340 0.260849539946 Henry Cohn, 2026, needs more optimization.
18 341 0.260873693021 Henry Cohn, 2026, needs more optimization.
18 342 0.260875510697 Henry Cohn, 2026, needs more optimization.
18 343 0.260886823968 Henry Cohn, 2026, needs more optimization.
18 344 0.260915804908 Henry Cohn, 2026, needs more optimization.
18 345 0.260934303272 Henry Cohn, 2026, needs more optimization.
18 346 0.260944938149 Henry Cohn, 2026, needs more optimization.
18 347 0.260947963458 Henry Cohn, 2026, needs more optimization.
18 348 0.260966246041 Henry Cohn, 2026, needs more optimization.
18 349 0.260970382786 Henry Cohn, 2026, needs more optimization.
18 350 0.260999732671 Henry Cohn, 2026, needs more optimization.
18 351 0.261200283571 Henry Cohn, 2026, needs more optimization.
18 352 0.261202961174 Henry Cohn, 2026, needs more optimization.
18 353 0.262952200943 Henry Cohn, 2026, needs more optimization.
18 354 0.279698392582 Henry Cohn, 2026, needs more optimization.
18 355 0.284401376625 Henry Cohn, 2026, needs more optimization.
18 356 0.284736150032 Henry Cohn, 2026, needs more optimization.
18 357 0.287976864185 Henry Cohn, 2026, needs more optimization.
18 358 0.290427120807 Henry Cohn, 2026, needs more optimization.
18 359 0.291643227124 Henry Cohn, 2026, needs more optimization.
18 360 0.292918493641 Henry Cohn, 2026, needs more optimization.
18 361 0.294122232014 Henry Cohn, 2026, needs more optimization.
18 362 0.294122268513 Henry Cohn, 2026, needs more optimization.
18 363 0.294122299018 Henry Cohn, 2026, needs more optimization.
18 364 0.294122381507 Henry Cohn, 2026, needs more optimization.
18 366 0.294122447170 Henry Cohn, 2026, needs more optimization.
18 367 0.294122612827 Henry Cohn, 2026, needs more optimization.
18 368 0.294122747489 Henry Cohn, 2026, needs more optimization.
18 369 0.294122757067 Henry Cohn, 2026, needs more optimization.
18 371 0.294122787646 Henry Cohn, 2026, needs more optimization.
18 372 0.294122820171 Henry Cohn, 2026, needs more optimization.
18 373 0.294123003158 Henry Cohn, 2026, needs more optimization.
18 374 0.294123172585 Henry Cohn, 2026, needs more optimization.
18 375 0.294123414025 Henry Cohn, 2026, needs more optimization.
18 376 0.294123721235 Henry Cohn, 2026, needs more optimization.
18 377 0.294124025263 Henry Cohn, 2026, needs more optimization.
18 378 0.294124308506 Henry Cohn, 2026, needs more optimization.
18 380 0.294124453571 Henry Cohn, 2026, needs more optimization.
18 381 0.294124540431 Henry Cohn, 2026, needs more optimization.
18 382 0.294124973434 Henry Cohn, 2026, needs more optimization.
18 383 0.294125036276 Henry Cohn, 2026, needs more optimization.
18 385 0.294125169835 Henry Cohn, 2026, needs more optimization.
18 387 0.294125366585 Henry Cohn, 2026, needs more optimization.
18 388 0.294125614117 Henry Cohn, 2026, needs more optimization.
18 390 0.294125722008 Henry Cohn, 2026, needs more optimization.
18 391 0.294125810386 Henry Cohn, 2026, needs more optimization.
18 392 0.294126075432 Henry Cohn, 2026, needs more optimization.
18 393 0.294126325866 Henry Cohn, 2026, needs more optimization.
18 394 0.294126472155 Henry Cohn, 2026, needs more optimization.
18 395 0.294126758276 Henry Cohn, 2026, needs more optimization.
18 396 0.294127147161 Henry Cohn, 2026, needs more optimization.
18 397 0.294127647857 Henry Cohn, 2026, needs more optimization.
18 398 0.294127708519 Henry Cohn, 2026, needs more optimization.
18 399 0.294128058570 Henry Cohn, 2026, needs more optimization.
18 400 0.294868553012 Henry Cohn, 2026, needs more optimization.
18 401 0.294942574189 Henry Cohn, 2026, needs more optimization.
18 402 0.295072010262 Henry Cohn, 2026, needs more optimization.
18 403 0.295191386576 Henry Cohn, 2026, needs more optimization.
18 404 0.295192103142 Henry Cohn, 2026, needs more optimization.
18 405 0.295193807502 Henry Cohn, 2026, needs more optimization.
18 406 0.295195531752 Henry Cohn, 2026, needs more optimization.
18 407 0.295204096650 Henry Cohn, 2026, needs more optimization.
18 408 0.295463739871 Henry Cohn, 2026, needs more optimization.
18 409 0.295471956066 Henry Cohn, 2026, needs more optimization.
18 410 0.295476458779 Henry Cohn, 2026, needs more optimization.
18 411 0.295480562026 Henry Cohn, 2026, needs more optimization.
18 412 0.295546940485 Henry Cohn, 2026, needs more optimization.
18 413 0.295548077995 Henry Cohn, 2026, needs more optimization.
18 414 0.295550365736 Henry Cohn, 2026, needs more optimization.
18 415 0.295551430651 Henry Cohn, 2026, needs more optimization.
18 416 0.295554118376 Henry Cohn, 2026, needs more optimization.
18 417 0.296020125933 Henry Cohn, 2026, needs more optimization.
18 418 0.296024672611 Henry Cohn, 2026, needs more optimization.
18 419 0.296035825854 Henry Cohn, 2026, needs more optimization.
18 420 0.296220788171 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 0.298381055320 Henry Cohn, 2026, needs more optimization.
18 482 0.300184200365 Henry Cohn, 2026, needs more optimization.
18 483 0.301458688516 Henry Cohn, 2026, needs more optimization.
18 484 0.302688074081 Henry Cohn, 2026, needs more optimization.
18 485 0.303484936243 Henry Cohn, 2026, needs more optimization.
18 486 0.305668052091 Henry Cohn, 2026, needs more optimization.
18 487 0.307366893764 Henry Cohn, 2026, needs more optimization.
18 488 0.309519814098 Henry Cohn, 2026, needs more optimization.
18 489 0.310109123189 Henry Cohn, 2026, needs more optimization.
18 490 0.310900747341 Henry Cohn, 2026, needs more optimization.
18 491 0.311791885812 Henry Cohn, 2026, needs more optimization.
18 492 0.312604323789 Henry Cohn, 2026, needs more optimization.
18 493 0.313255956352 Henry Cohn, 2026, needs more optimization.
18 494 0.313846810602 Henry Cohn, 2026, needs more optimization.
18 495 0.314053701549 Henry Cohn, 2026, needs more optimization.
18 496 0.314177841127 Henry Cohn, 2026, needs more optimization.
18 497 0.314452846742 Henry Cohn, 2026, needs more optimization.
18 498 0.314916209710 Henry Cohn, 2026, needs more optimization.
18 499 0.314986226604 Henry Cohn, 2026, needs more optimization.
18 500 0.315421543955 Henry Cohn, 2026, needs more optimization.
18 501 0.315966087346 Henry Cohn, 2026, needs more optimization.
18 502 0.316382063052 Henry Cohn, 2026, needs more optimization.
18 503 0.316632289865 Henry Cohn, 2026, needs more optimization.
18 504 0.316745165375 Henry Cohn, 2026, needs more optimization.
18 505 0.317115013890 Henry Cohn, 2026, needs more optimization.
18 506 0.317438314074 Henry Cohn, 2026, needs more optimization.
18 507 0.317887636908 Henry Cohn, 2026, needs more optimization.
18 508 0.318380748917 Henry Cohn, 2026, needs more optimization.
18 509 0.318752850962 Henry Cohn, 2026, needs more optimization.
18 510 0.318923602721 Henry Cohn, 2026, needs more optimization.
18 511 0.318980801053 Henry Cohn, 2026, needs more optimization.
18 512 0.319280526345 Henry Cohn, 2026, needs more optimization.
18 513 0.319576544996 Henry Cohn, 2026, needs more optimization.
18 514 0.319862095135 Henry Cohn, 2026, needs more optimization.
18 515 0.320344910514 Henry Cohn, 2026, needs more optimization.
18 516 0.320822578864 Henry Cohn, 2026, needs more optimization.
18 517 0.321226555340 Henry Cohn, 2026, needs more optimization.
18 518 0.322128504441 Henry Cohn, 2026, needs more optimization.
18 519 0.322488628521 Henry Cohn, 2026, needs more optimization.
18 520 0.323016836697 Henry Cohn, 2026, needs more optimization.
18 521 0.323085891651 Henry Cohn, 2026, needs more optimization.
18 522 0.323088477510 Henry Cohn, 2026, needs more optimization.
18 523 0.323138320837 Henry Cohn, 2026, needs more optimization.
18 524 0.323192872719 Henry Cohn, 2026, needs more optimization.
18 525 0.323756689490 Henry Cohn, 2026, needs more optimization.
18 526 0.323962481812 Henry Cohn, 2026, needs more optimization.
18 527 0.324378654550 Henry Cohn, 2026, needs more optimization.
18 528 0.324672426252 Henry Cohn, 2026, needs more optimization.
18 529 0.324944510511 Henry Cohn, 2026, needs more optimization.
18 530 0.324955596877 Henry Cohn, 2026, needs more optimization.
18 531 0.325284984223 Henry Cohn, 2026, needs more optimization.
18 532 0.325701446720 Henry Cohn, 2026, needs more optimization.
18 533 0.326029886955 Henry Cohn, 2026, needs more optimization.
18 534 0.326345543014 Henry Cohn, 2026, needs more optimization.
18 535 0.326604305246 Henry Cohn, 2026, needs more optimization.
18 536 0.326886940911 Henry Cohn, 2026, needs more optimization.
18 537 0.327125386002 Henry Cohn, 2026, needs more optimization.
18 538 0.327736129405 Henry Cohn, 2026, needs more optimization.
18 539 0.327924235288 Henry Cohn, 2026, needs more optimization.
18 540 0.328339056091 Henry Cohn, 2026, needs more optimization.
18 541 0.328741919633 Henry Cohn, 2026, needs more optimization.
18 542 0.329009649378 Henry Cohn, 2026, needs more optimization.
18 543 0.329089119937 Henry Cohn, 2026, needs more optimization.
18 544 0.329528756684 Henry Cohn, 2026, needs more optimization.
18 545 0.329687628185 Henry Cohn, 2026, needs more optimization.
18 546 0.330053167726 Henry Cohn, 2026, needs more optimization.
18 547 0.330252012107 Henry Cohn, 2026, needs more optimization.
18 548 0.330524296158 Henry Cohn, 2026, needs more optimization.
18 549 0.330868379781 Henry Cohn, 2026, needs more optimization.
18 550 0.331309623361 Henry Cohn, 2026, needs more optimization.
18 551 0.331668437062 Henry Cohn, 2026, needs more optimization.
18 552 0.331965284316 Henry Cohn, 2026, needs more optimization.
18 553 0.332379624780 Henry Cohn, 2026, needs more optimization.
18 554 0.332453288134 Henry Cohn, 2026, needs more optimization.
18 555 0.332590627608 Henry Cohn, 2026, needs more optimization.
18 556 0.332863939691 Henry Cohn, 2026, needs more optimization.
18 557 0.332997114932 Henry Cohn, 2026, needs more optimization.
18 558 0.333210242829 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. T. Zhaowei, 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
18 705 0.342211905466 Henry Cohn, 2026, needs more optimization.
18 706 0.343284110080 Henry Cohn, 2026, needs more optimization.
18 707 0.344655362636 Henry Cohn, 2026, needs more optimization.
18 708 0.345481257022 Henry Cohn, 2026, needs more optimization.
18 709 0.346125670201 Henry Cohn, 2026, needs more optimization.
18 710 0.346672622011 Henry Cohn, 2026, needs more optimization.
18 711 0.347198302014 Henry Cohn, 2026, needs more optimization.
18 712 0.347599900921 Henry Cohn, 2026, needs more optimization.
18 713 0.348065909552 Henry Cohn, 2026, needs more optimization.
18 714 0.348523249644 Henry Cohn, 2026, needs more optimization.
18 715 0.348829577758 Henry Cohn, 2026, needs more optimization.
18 716 0.348928408978 Henry Cohn, 2026, needs more optimization.
18 717 0.349217162265 Henry Cohn, 2026, needs more optimization.
18 718 0.349492715022 Henry Cohn, 2026, needs more optimization.
18 719 0.349816835542 Henry Cohn, 2026, needs more optimization.
18 720 0.350034552295 Henry Cohn, 2026, needs more optimization.
18 721 0.350306056843 Henry Cohn, 2026, needs more optimization.
18 722 0.350579818925 Henry Cohn, 2026, needs more optimization.
18 723 0.350634655856 Henry Cohn, 2026, needs more optimization.
18 724 0.350854275560 Henry Cohn, 2026, needs more optimization.
18 725 0.350974523672 Henry Cohn, 2026, needs more optimization.
18 726 0.351043779344 Henry Cohn, 2026, needs more optimization.
18 727 0.351255841499 Henry Cohn, 2026, needs more optimization.
18 728 0.351407745045 Henry Cohn, 2026, needs more optimization.
18 729 0.351542730293 Henry Cohn, 2026, needs more optimization.
18 730 0.351732647840 Henry Cohn, 2026, needs more optimization.
18 731 0.351800686228 Henry Cohn, 2026, needs more optimization.
18 732 0.351946463687 Henry Cohn, 2026, needs more optimization.
18 733 0.352103290027 Henry Cohn, 2026, needs more optimization.
18 734 0.352286905760 Henry Cohn, 2026, needs more optimization.
18 735 0.352446883160 Henry Cohn, 2026, needs more optimization.
18 736 0.352578848310 Henry Cohn, 2026, needs more optimization.
18 737 0.352642545029 Henry Cohn, 2026, needs more optimization.
18 738 0.352793379993 Henry Cohn, 2026, needs more optimization.
18 739 0.352909461926 Henry Cohn, 2026, needs more optimization.
18 740 0.353083132656 Henry Cohn, 2026, needs more optimization.
18 741 0.353190259587 Henry Cohn, 2026, needs more optimization.
18 742 0.353321698239 Henry Cohn, 2026, needs more optimization.
18 743 0.353407335411 Henry Cohn, 2026, needs more optimization.
18 744 0.353452764618 Henry Cohn, 2026, needs more optimization.
18 745 0.353584881675 Henry Cohn, 2026, needs more optimization.
18 746 0.353642618542 Henry Cohn, 2026, needs more optimization.
18 747 0.353787432554 Henry Cohn, 2026, needs more optimization.
18 748 0.353918925913 Henry Cohn, 2026, needs more optimization.
18 749 0.353973478031 Henry Cohn, 2026, needs more optimization.
18 750 0.354112272304 Henry Cohn, 2026, needs more optimization.
18 751 0.354155557839 Henry Cohn, 2026, needs more optimization.
18 752 0.354272681751 Henry Cohn, 2026, needs more optimization.
18 753 0.354382206015 Henry Cohn, 2026, needs more optimization.
18 754 0.354462198167 Henry Cohn, 2026, needs more optimization.
18 755 0.354554071692 Henry Cohn, 2026, needs more optimization.
18 756 0.354667361574 Henry Cohn, 2026, needs more optimization.
18 757 0.354720911859 Henry Cohn, 2026, needs more optimization.
18 758 0.354834496265 Henry Cohn, 2026, needs more optimization.
18 759 0.354910633454 Henry Cohn, 2026, needs more optimization.
18 760 0.354975092177 Henry Cohn, 2026, needs more optimization.
18 761 0.355010503985 Henry Cohn, 2026, needs more optimization.
18 762 0.355084988080 Henry Cohn, 2026, needs more optimization.
18 763 0.355170655652 Henry Cohn, 2026, needs more optimization.
18 764 0.355236941359 Henry Cohn, 2026, needs more optimization.
18 765 0.355335398371 Henry Cohn, 2026, needs more optimization.
18 766 0.355498134004 Henry Cohn, 2026, needs more optimization.
18 767 0.355710198432 Henry Cohn, 2026, needs more optimization.
18 768 0.355790457615 Henry Cohn, 2026, needs more optimization.
18 769 0.355912026437 Henry Cohn, 2026, needs more optimization.
18 770 0.356057653593 Henry Cohn, 2026, needs more optimization.
18 771 0.356252409751 Henry Cohn, 2026, needs more optimization.
18 772 0.356486763705 Henry Cohn, 2026, needs more optimization.
18 773 0.356645695056 Henry Cohn, 2026, needs more optimization.
18 774 0.356827111607 Henry Cohn, 2026, needs more optimization.
18 775 0.356977459250 Henry Cohn, 2026, needs more optimization.
18 776 0.357125468420 Henry Cohn, 2026, needs more optimization.
18 867 0.357142857143 Henry Cohn, 2025, by modifying a construction from C. Ma, T. T. Zhaowei, 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 0.373269751696 Henry Cohn, 2026, needs more optimization.
18 869 0.373271991555 Henry Cohn, 2026, needs more optimization.
18 870 0.375939078649 Henry Cohn, 2026, needs more optimization.
18 871 0.377626917393 Henry Cohn, 2026, needs more optimization.
18 872 0.379007093012 Henry Cohn, 2026, needs more optimization.
18 874 0.379858400941 Henry Cohn, 2026, needs more optimization.
18 875 0.379992412545 Henry Cohn, 2026, needs more optimization.
18 876 0.380766080015 Henry Cohn, 2026, needs more optimization.
18 877 0.381677975430 Henry Cohn, 2026, needs more optimization.
18 878 0.382366820065 Henry Cohn, 2026, needs more optimization.
18 879 0.382527221772 Henry Cohn, 2026, needs more optimization.
18 880 0.383277638285 Henry Cohn, 2026, needs more optimization.
18 881 0.383356473435 Henry Cohn, 2026, needs more optimization.
18 882 0.383869782316 Henry Cohn, 2026, needs more optimization.
18 883 0.383947245908 Henry Cohn, 2026, needs more optimization.
18 1024 0.384615384616 Henry Cohn, 2026, subcode of a code of size 1152.
13⁢x−5
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 0.075275141543 Henry Cohn, 2025.
19 52 0.077597142083 Henry Cohn, 2026.
19 53 0.080493593475 Henry Cohn, 2026.
19 54 0.081604760586 Henry Cohn, 2026, needs more optimization.
19 55 0.082178889828 Henry Cohn, 2025.
19 56 0.083233613334 Henry Cohn, 2026.
19 57 0.084818962260 Henry Cohn, 2025.
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 0.101319957446 Henry Cohn, 2026, needs more optimization.
19 70 0.101392647883 Henry Cohn, 2025, needs more optimization.
19 71 0.101456853395 Henry Cohn, 2026, needs more optimization.
19 72 0.101838513947 Henry Cohn, 2026, needs more optimization.
19 73 0.102201317334 Henry Cohn, 2026.
311⁢x2−22⁢x−1
19 74 0.104244050589 Henry Cohn, 2026, needs more optimization.
19 75 0.107816370262 Henry Cohn, 2026, needs more optimization.
19 76 0.111553284797 Henry Cohn, 2026.
19 77 0.112839203138 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 0.128902034018 Henry Cohn, 2026, needs more optimization.
19 92 0.134480843584 Henry Cohn, 2026, needs more optimization.
19 93 0.142506259950 Henry Cohn, 2026, needs more optimization.
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.
19 104 0.150748959688 Henry Cohn, 2026.
19 105 0.152679567208 Henry Cohn, 2026, needs more optimization.
19 106 0.152679567308 Henry Cohn, 2026, needs more optimization.
19 107 0.155579639766 Henry Cohn, 2026, needs more optimization.
19 108 0.156351981287 Henry Cohn, 2026, needs more optimization.
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.
19 134 0.174620105370 Henry Cohn, 2026, needs more optimization.
19 135 0.175005727238 Henry Cohn, 2026, needs more optimization.
19 136 0.175551912720 Henry Cohn, 2026, needs more optimization.
19 137 0.176552733680 Henry Cohn, 2026, needs more optimization.
19 138 0.177160791749 Henry Cohn, 2026, needs more optimization.
19 139 0.177608187254 Henry Cohn, 2026, needs more optimization.
19 140 0.178022647112 Henry Cohn, 2026, needs more optimization.
19 141 0.178307267153 Henry Cohn, 2026, needs more optimization.
19 142 0.178659456337 Henry Cohn, 2026, needs more optimization.
19 143 0.179206859491 Henry Cohn, 2026, needs more optimization.
19 144 0.179750083919 Henry Cohn, 2026, needs more optimization.
19 145 0.180700674295 Henry Cohn, 2026, needs more optimization.
19 146 0.180712993722 Henry Cohn, 2026, needs more optimization.
19 147 0.182375858799 Henry Cohn, 2026, needs more optimization.
19 148 0.183300312700 Henry Cohn, 2026, needs more optimization.
19 149 0.183922068895 Henry Cohn, 2026, needs more optimization.
19 150 0.184646543855 Henry Cohn, 2026, needs more optimization.
19 151 0.186861702854 Henry Cohn, 2026, needs more optimization.
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 0.193637369254 Henry Cohn, 2026, needs more optimization.
19 178 0.194663251780 Henry Cohn, 2026, needs more optimization.
19 179 0.195473177634 Henry Cohn, 2026, needs more optimization.
19 180 0.195821119719 Henry Cohn, 2026, needs more optimization.
19 181 0.198079207701 Henry Cohn, 2026, needs more optimization.
19 182 0.198331860018 Henry Cohn, 2026, needs more optimization.
19 183 0.199287072721 Henry Cohn, 2026, needs more optimization.
19 184 0.199288566770 Henry Cohn, 2026, needs more optimization.
19 185 0.199862523146 Henry Cohn, 2026, needs more optimization.
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, needs more optimization.
19 194 0.205905415936 Henry Cohn, 2026, needs more optimization.
19 195 0.207110982425 Henry Cohn, 2026, needs more optimization.
19 196 0.208040828687 Henry Cohn, 2026, needs more optimization.
19 197 0.208693131793 Henry Cohn, 2026, needs more optimization.
19 198 0.209394471175 Henry Cohn, 2026, needs more optimization.
19 199 0.209808220612 Henry Cohn, 2026, needs more optimization.
19 200 0.210590897526 Henry Cohn, 2026, needs more optimization.
19 201 0.211119330275 Henry Cohn, 2026, needs more optimization.
19 202 0.211607212375 Henry Cohn, 2026, needs more optimization.
19 203 0.212023097497 Henry Cohn, 2026, needs more optimization.
19 204 0.212310394003 Henry Cohn, 2026, needs more optimization.
19 205 0.212685452332 Henry Cohn, 2026, needs more optimization.
19 206 0.212895489764 Henry Cohn, 2026, needs more optimization.
19 207 0.213597080915 Henry Cohn, 2026, needs more optimization.
19 208 0.214239462352 Henry Cohn, 2026, needs more optimization.
19 209 0.214710118071 Henry Cohn, 2026, needs more optimization.
19 210 0.215123194187 Henry Cohn, 2026, needs more optimization.
19 211 0.215406281010 Henry Cohn, 2026, needs more optimization.
19 212 0.215588804283 Henry Cohn, 2026, needs more optimization.
19 213 0.216096174980 Henry Cohn, 2026, needs more optimization.
19 214 0.216351820619 Henry Cohn, 2026, needs more optimization.
19 215 0.218056408320 Henry Cohn, 2026, needs more optimization.
19 216 0.219012309819 Henry Cohn, 2026, needs more optimization.
19 217 0.219773190986 Henry Cohn, 2026, needs more optimization.
19 218 0.220504865415 Henry Cohn, 2026, needs more optimization.
19 219 0.221098886627 Henry Cohn, 2026, needs more optimization.
19 220 0.221717427382 Henry Cohn, 2026, needs more optimization.
19 221 0.222110206889 Henry Cohn, 2026, needs more optimization.
19 222 0.222588315379 Henry Cohn, 2026, needs more optimization.
19 223 0.222957317058 Henry Cohn, 2026, needs more optimization.
19 224 0.223241183765 Henry Cohn, 2026, needs more optimization.
19 225 0.223444916353 Henry Cohn, 2026, needs more optimization.
19 226 0.223667359340 Henry Cohn, 2026, needs more optimization.
19 227 0.223958617437 Henry Cohn, 2026, needs more optimization.
19 228 0.224163499884 Henry Cohn, 2026, needs more optimization.
19 229 0.224242160653 Henry Cohn, 2026, needs more optimization.
19 230 0.224318540363 Henry Cohn, 2026, needs more optimization.
19 231 0.224475713564 Henry Cohn, 2026, needs more optimization.
19 232 0.224536635284 Henry Cohn, 2026, needs more optimization.
19 233 0.224694250376 Henry Cohn, 2026, needs more optimization.
19 234 0.224755817999 Henry Cohn, 2026, needs more optimization.
19 235 0.225428985467 Henry Cohn, 2026, needs more optimization.
19 236 0.225834744904 Henry Cohn, 2026, needs more optimization.
19 237 0.225947227149 Henry Cohn, 2026, needs more optimization.
19 238 0.225974690322 Henry Cohn, 2026, needs more optimization.
19 239 0.225985204074 Henry Cohn, 2026, needs more optimization.
19 240 0.226451253018 Henry Cohn, 2026, needs more optimization.
19 241 0.226628903009 Henry Cohn, 2026, needs more optimization.
19 242 0.226793188986 Henry Cohn, 2026, needs more optimization.
19 243 0.227021228639 Henry Cohn, 2026, needs more optimization.
19 244 0.228130296688 Henry Cohn, 2026, needs more optimization.
19 245 0.229077437484 Henry Cohn, 2026, needs more optimization.
19 246 0.229612325649 Henry Cohn, 2026, needs more optimization.
19 247 0.230102782922 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 0.235888485114 Henry Cohn, 2026, needs more optimization.
19 279 0.237141294887 Henry Cohn, 2026, needs more optimization.
19 280 0.238262905324 Henry Cohn, 2026, needs more optimization.
19 291 0.238519273263 Henry Cohn, 2026, needs more optimization.
19 292 0.240889101959 Henry Cohn, 2026, needs more optimization.
19 293 0.244039712389 Henry Cohn, 2026, needs more optimization.
19 294 0.244041539372 Henry Cohn, 2026, needs more optimization.
19 295 0.244661031743 Henry Cohn, 2026, needs more optimization.
19 296 0.246046508412 Henry Cohn, 2026, needs more optimization.
19 297 0.246360019130 Henry Cohn, 2026, needs more optimization.
19 298 0.246523791157 Henry Cohn, 2026, needs more optimization.
19 299 0.246773287669 Henry Cohn, 2026, needs more optimization.
19 300 0.248006128777 Henry Cohn, 2026, needs more optimization.
19 301 0.248472060870 Henry Cohn, 2026, needs more optimization.
19 302 0.249534267887 Henry Cohn, 2026, needs more optimization.
19 303 0.249670981550 Henry Cohn, 2026, needs more optimization.
19 304 0.249903193573 Henry Cohn, 2026, needs more optimization.
19 305 0.249963572353 Henry Cohn, 2026, needs more optimization.
19 306 0.249964072182 Henry Cohn, 2026, needs more optimization.
19 307 0.249964948135 Henry Cohn, 2026, needs more optimization.
19 308 0.249967335855 Henry Cohn, 2026, needs more optimization.
19 309 0.249968337567 Henry Cohn, 2026, needs more optimization.
19 310 0.249969739988 Henry Cohn, 2026, needs more optimization.
19 311 0.249973873396 Henry Cohn, 2026, needs more optimization.
19 312 0.249978106930 Henry Cohn, 2026, needs more optimization.
19 313 0.249979831269 Henry Cohn, 2026, needs more optimization.
19 314 0.249981390769 Henry Cohn, 2026, needs more optimization.
19 315 0.249982801399 Henry Cohn, 2026, needs more optimization.
19 316 0.249983620830 Henry Cohn, 2026, needs more optimization.
19 317 0.249984635180 Henry Cohn, 2026, needs more optimization.
19 318 0.249986237932 Henry Cohn, 2026, needs more optimization.
19 319 0.249987207667 Henry Cohn, 2026, needs more optimization.
19 320 0.249996606914 Henry Cohn, 2026, needs more optimization.
19 321 0.250000890422 Henry Cohn, 2026, needs more optimization.
19 322 0.250007645691 Henry Cohn, 2026, needs more optimization.
19 323 0.250011076561 Henry Cohn, 2026, needs more optimization.
19 324 0.250035891882 Henry Cohn, 2026, needs more optimization.
19 325 0.250093290249 Henry Cohn, 2026, needs more optimization.
19 326 0.250246221400 Henry Cohn, 2026, needs more optimization.
19 327 0.250760766052 Henry Cohn, 2026, needs more optimization.
19 328 0.251807587228 Henry Cohn, 2026, needs more optimization.
19 329 0.252862902875 Henry Cohn, 2026, needs more optimization.
19 330 0.253346543864 Henry Cohn, 2026, needs more optimization.
19 331 0.254245069393 Henry Cohn, 2026, needs more optimization.
19 332 0.255775588348 Henry Cohn, 2026, needs more optimization.
19 333 0.256803837088 Henry Cohn, 2026, needs more optimization.
19 334 0.258045968865 Henry Cohn, 2026, needs more optimization.
19 335 0.258071178564 Henry Cohn, 2026, needs more optimization.
19 336 0.258149981936 Henry Cohn, 2026, needs more optimization.
19 337 0.258261421088 Henry Cohn, 2026, needs more optimization.
19 338 0.258318425328 Henry Cohn, 2026, needs more optimization.
19 339 0.258431406596 Henry Cohn, 2026, needs more optimization.
19 340 0.258519574822 Henry Cohn, 2026, needs more optimization.
19 341 0.258586599498 Henry Cohn, 2026, needs more optimization.
19 342 0.258651901920 Henry Cohn, 2026, needs more optimization.
19 343 0.258843807906 Henry Cohn, 2026, needs more optimization.
19 344 0.258849338528 Henry Cohn, 2026, needs more optimization.
19 345 0.258855072904 Henry Cohn, 2026, needs more optimization.
19 346 0.258874786383 Henry Cohn, 2026, needs more optimization.
19 347 0.258901327599 Henry Cohn, 2026, needs more optimization.
19 348 0.258916224304 Henry Cohn, 2026, needs more optimization.
19 349 0.258972606226 Henry Cohn, 2026, needs more optimization.
19 350 0.259103195921 Henry Cohn, 2026, needs more optimization.
19 351 0.259294179849 Henry Cohn, 2026, needs more optimization.
19 352 0.259366146782 Henry Cohn, 2026, needs more optimization.
19 353 0.259452238668 Henry Cohn, 2026, needs more optimization.
19 354 0.259508542628 Henry Cohn, 2026, needs more optimization.
19 355 0.259612392275 Henry Cohn, 2026, needs more optimization.
19 356 0.259648262851 Henry Cohn, 2026, needs more optimization.
19 357 0.259743240325 Henry Cohn, 2026, needs more optimization.
19 358 0.260046612896 Henry Cohn, 2026, needs more optimization.
19 359 0.260197886319 Henry Cohn, 2026, needs more optimization.
19 360 0.260638383375 Henry Cohn, 2026, needs more optimization.
19 361 0.287365652965 Henry Cohn, 2026, needs more optimization.
19 362 0.287366377908 Henry Cohn, 2026, needs more optimization.
19 363 0.287367370245 Henry Cohn, 2026, needs more optimization.
19 364 0.287367615985 Henry Cohn, 2026, needs more optimization.
19 365 0.287368182629 Henry Cohn, 2026, needs more optimization.
19 366 0.287368639840 Henry Cohn, 2026, needs more optimization.
19 367 0.287369300219 Henry Cohn, 2026, needs more optimization.
19 368 0.287370201609 Henry Cohn, 2026, needs more optimization.
19 369 0.287370928767 Henry Cohn, 2026, needs more optimization.
19 370 0.287371501313 Henry Cohn, 2026, needs more optimization.
19 371 0.287371900573 Henry Cohn, 2026, needs more optimization.
19 372 0.287372616954 Henry Cohn, 2026, needs more optimization.
19 373 0.287373744527 Henry Cohn, 2026, needs more optimization.
19 374 0.287374760696 Henry Cohn, 2026, needs more optimization.
19 375 0.287375383497 Henry Cohn, 2026, needs more optimization.
19 376 0.287376286663 Henry Cohn, 2026, needs more optimization.
19 377 0.287376724406 Henry Cohn, 2026, needs more optimization.
19 378 0.287377437599 Henry Cohn, 2026, needs more optimization.
19 379 0.287378143162 Henry Cohn, 2026, needs more optimization.
19 380 0.287378905539 Henry Cohn, 2026, needs more optimization.
19 381 0.287379740772 Henry Cohn, 2026, needs more optimization.
19 382 0.287380967309 Henry Cohn, 2026, needs more optimization.
19 383 0.287382427655 Henry Cohn, 2026, needs more optimization.
19 384 0.287382985123 Henry Cohn, 2026, needs more optimization.
19 385 0.287384638044 Henry Cohn, 2026, needs more optimization.
19 386 0.287385602809 Henry Cohn, 2026, needs more optimization.
19 387 0.287387036466 Henry Cohn, 2026, needs more optimization.
19 388 0.287388182834 Henry Cohn, 2026, needs more optimization.
19 389 0.287403242643 Henry Cohn, 2026, needs more optimization.
19 390 0.287405491027 Henry Cohn, 2026, needs more optimization.
19 391 0.287407823985 Henry Cohn, 2026, needs more optimization.
19 392 0.287412154140 Henry Cohn, 2026, needs more optimization.
19 393 0.287416501883 Henry Cohn, 2026, needs more optimization.
19 394 0.287420255810 Henry Cohn, 2026, needs more optimization.
19 395 0.287423867549 Henry Cohn, 2026, needs more optimization.
19 396 0.287424772871 Henry Cohn, 2026, needs more optimization.
19 397 0.287435301154 Henry Cohn, 2026, needs more optimization.
19 398 0.287575343177 Henry Cohn, 2026, needs more optimization.
19 399 0.287578301670 Henry Cohn, 2026, needs more optimization.
19 400 0.287586769984 Henry Cohn, 2026, needs more optimization.
19 401 0.287588368562 Henry Cohn, 2026, needs more optimization.
19 402 0.287590634252 Henry Cohn, 2026, needs more optimization.
19 403 0.287592275005 Henry Cohn, 2026, needs more optimization.
19 404 0.287597101393 Henry Cohn, 2026, needs more optimization.
19 405 0.287598418139 Henry Cohn, 2026, needs more optimization.
19 406 0.287599245324 Henry Cohn, 2026, needs more optimization.
19 407 0.287625695847 Henry Cohn, 2026, needs more optimization.
19 408 0.287628208332 Henry Cohn, 2026, needs more optimization.
19 409 0.287630537771 Henry Cohn, 2026, needs more optimization.
19 410 0.287634939112 Henry Cohn, 2026, needs more optimization.
19 411 0.287649858793 Henry Cohn, 2026, needs more optimization.
19 412 0.287651180350 Henry Cohn, 2026, needs more optimization.
19 413 0.287667720700 Henry Cohn, 2026, needs more optimization.
19 414 0.287699724989 Henry Cohn, 2026, needs more optimization.
19 415 0.287978668771 Henry Cohn, 2026, needs more optimization.
19 416 0.287988999942 Henry Cohn, 2026, needs more optimization.
19 417 0.287998666263 Henry Cohn, 2026, needs more optimization.
19 418 0.288000156528 Henry Cohn, 2026, needs more optimization.
19 419 0.288059886752 Henry Cohn, 2026, needs more optimization.
19 420 0.288166782702 Henry Cohn, 2026, needs more optimization.
19 421 0.288238825132 Henry Cohn, 2026, needs more optimization.
19 422 0.288340771791 Henry Cohn, 2026, needs more optimization.
19 423 0.288342245452 Henry Cohn, 2026, needs more optimization.
19 424 0.288487405846 Henry Cohn, 2026, needs more optimization.
19 425 0.288854647032 Henry Cohn, 2026, needs more optimization.
19 426 0.288889072660 Henry Cohn, 2026, needs more optimization.
19 427 0.288891490761 Henry Cohn, 2026, needs more optimization.
19 428 0.288895546333 Henry Cohn, 2026, needs more optimization.
19 429 0.288909108952 Henry Cohn, 2026, needs more optimization.
19 430 0.289198779435 Henry Cohn, 2026, needs more optimization.
19 431 0.289201157235 Henry Cohn, 2026, needs more optimization.
19 432 0.289279632383 Henry Cohn, 2026, needs more optimization.
19 433 0.290132188343 Henry Cohn, 2026, needs more optimization.
19 434 0.290138223978 Henry Cohn, 2026, needs more optimization.
19 435 0.290144194771 Henry Cohn, 2026, needs more optimization.
19 436 0.290148210422 Henry Cohn, 2026, needs more optimization.
19 437 0.290174588633 Henry Cohn, 2026, needs more optimization.
19 438 0.290177654616 Henry Cohn, 2026, needs more optimization.
19 439 0.290663277248 Henry Cohn, 2026, needs more optimization.
19 440 0.290684229711 Henry Cohn, 2026, needs more optimization.
19 441 0.290689082213 Henry Cohn, 2026, needs more optimization.
19 442 0.290691041142 Henry Cohn, 2026, needs more optimization.
19 443 0.290692785960 Henry Cohn, 2026, needs more optimization.
19 444 0.290697612811 Henry Cohn, 2026, needs more optimization.
19 445 0.290700497504 Henry Cohn, 2026, needs more optimization.
19 446 0.290703776975 Henry Cohn, 2026, needs more optimization.
19 447 0.290730818476 Henry Cohn, 2026, needs more optimization.
19 448 0.290785812673 Henry Cohn, 2026, needs more optimization.
19 449 0.290794444055 Henry Cohn, 2026, needs more optimization.
19 450 0.290819454176 Henry Cohn, 2026, needs more optimization.
19 451 0.290836773999 Henry Cohn, 2026, needs more optimization.
19 452 0.290908070107 Henry Cohn, 2026, needs more optimization.
19 453 0.290941744029 Henry Cohn, 2026, needs more optimization.
19 454 0.290975561515 Henry Cohn, 2026, needs more optimization.
19 455 0.291067060975 Henry Cohn, 2026, needs more optimization.
19 456 0.291083400183 Henry Cohn, 2026, needs more optimization.
19 457 0.291147204971 Henry Cohn, 2026, needs more optimization.
19 458 0.291188341803 Henry Cohn, 2026, needs more optimization.
19 459 0.291664867572 Henry Cohn, 2026, needs more optimization.
19 460 0.291780919143 Henry Cohn, 2026, needs more optimization.
19 461 0.292966156674 Henry Cohn, 2026, needs more optimization.
19 462 0.293954501328 Henry Cohn, 2026, needs more optimization.
19 463 0.294800977812 Henry Cohn, 2026, needs more optimization.
19 464 0.294968133634 Henry Cohn, 2026, needs more optimization.
19 465 0.295684810611 Henry Cohn, 2026, needs more optimization.
19 466 0.296017486297 Henry Cohn, 2026, needs more optimization.
19 485 0.296296296297 Henry Cohn, 2025.
27⁢x−8
19 486 0.296301314597 Henry Cohn, 2026, needs more optimization.
19 487 0.296301442309 Henry Cohn, 2026, needs more optimization.
19 488 0.296301451216 Henry Cohn, 2026, needs more optimization.
19 489 0.296301501130 Henry Cohn, 2026, needs more optimization.
19 490 0.296301713330 Henry Cohn, 2026, needs more optimization.
19 493 0.296301718493 Henry Cohn, 2026, needs more optimization.
19 495 0.296301817677 Henry Cohn, 2026, needs more optimization.
19 497 0.296302114380 Henry Cohn, 2026, needs more optimization.
19 498 0.296302464167 Henry Cohn, 2026, needs more optimization.
19 499 0.296302714665 Henry Cohn, 2026, needs more optimization.
19 500 0.296303103151 Henry Cohn, 2026, needs more optimization.
19 501 0.296303325120 Henry Cohn, 2026, needs more optimization.
19 502 0.296303668836 Henry Cohn, 2026, needs more optimization.
19 503 0.296304089994 Henry Cohn, 2026, needs more optimization.
19 504 0.296304909268 Henry Cohn, 2026, needs more optimization.
19 505 0.296305738812 Henry Cohn, 2026, needs more optimization.
19 506 0.296306555819 Henry Cohn, 2026, needs more optimization.
19 507 0.296307252032 Henry Cohn, 2026, needs more optimization.
19 508 0.296307555372 Henry Cohn, 2026, needs more optimization.
19 509 0.296308245346 Henry Cohn, 2026, needs more optimization.
19 510 0.296308590855 Henry Cohn, 2026, needs more optimization.
19 511 0.296309984209 Henry Cohn, 2026, needs more optimization.
19 512 0.296310615515 Henry Cohn, 2026, needs more optimization.
19 513 0.296311478672 Henry Cohn, 2026, needs more optimization.
19 514 0.296313100231 Henry Cohn, 2026, needs more optimization.
19 515 0.296315305739 Henry Cohn, 2026, needs more optimization.
19 516 0.296317676227 Henry Cohn, 2026, needs more optimization.
19 517 0.296323793095 Henry Cohn, 2026, needs more optimization.
19 518 0.296336486567 Henry Cohn, 2026, needs more optimization.
19 519 0.296387056446 Henry Cohn, 2026, needs more optimization.
19 520 0.296505700370 Henry Cohn, 2026, needs more optimization.
19 521 0.296613238506 Henry Cohn, 2026, needs more optimization.
19 522 0.296685322578 Henry Cohn, 2026, needs more optimization.
19 523 0.296792748459 Henry Cohn, 2026, needs more optimization.
19 524 0.296974996359 Henry Cohn, 2026, needs more optimization.
19 525 0.297105768834 Henry Cohn, 2026, needs more optimization.
19 526 0.297324121874 Henry Cohn, 2026, needs more optimization.
19 527 0.297616141800 Henry Cohn, 2026, needs more optimization.
19 528 0.297644433325 Henry Cohn, 2026, needs more optimization.
19 529 0.297708649227 Henry Cohn, 2026, needs more optimization.
19 530 0.297842328722 Henry Cohn, 2026, needs more optimization.
19 531 0.297870164659 Henry Cohn, 2026, needs more optimization.
19 532 0.297891521777 Henry Cohn, 2026, needs more optimization.
19 533 0.297896122051 Henry Cohn, 2026, needs more optimization.
19 534 0.298135620506 Henry Cohn, 2026, needs more optimization.
19 535 0.298166270748 Henry Cohn, 2026, needs more optimization.
19 536 0.298215076950 Henry Cohn, 2026, needs more optimization.
19 537 0.298249222709 Henry Cohn, 2026, needs more optimization.
19 538 0.298281076557 Henry Cohn, 2026, needs more optimization.
19 539 0.298345167020 Henry Cohn, 2026, needs more optimization.
19 540 0.298507246612 Henry Cohn, 2026, needs more optimization.
19 541 0.298518927307 Henry Cohn, 2026, needs more optimization.
19 542 0.298548377413 Henry Cohn, 2026, needs more optimization.
19 543 0.298561840674 Henry Cohn, 2026, needs more optimization.
19 544 0.298983752833 Henry Cohn, 2026, needs more optimization.
19 545 0.299019942063 Henry Cohn, 2026, needs more optimization.
19 546 0.299024851315 Henry Cohn, 2026, needs more optimization.
19 547 0.299028644788 Henry Cohn, 2026, needs more optimization.
19 548 0.299098523996 Henry Cohn, 2026, needs more optimization.
19 549 0.299332134863 Henry Cohn, 2026, needs more optimization.
19 550 0.299345630729 Henry Cohn, 2026, needs more optimization.
19 551 0.299446733939 Henry Cohn, 2026, needs more optimization.
19 552 0.299462918021 Henry Cohn, 2026, needs more optimization.
19 553 0.299548550422 Henry Cohn, 2026, needs more optimization.
19 554 0.299730637368 Henry Cohn, 2026, needs more optimization.
19 555 0.299914563148 Henry Cohn, 2026, needs more optimization.
19 556 0.301119757167 Henry Cohn, 2026, needs more optimization.
19 557 0.301880868614 Henry Cohn, 2026, needs more optimization.
19 560 0.304347826087 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
23⁢x−7
19 576 0.304347826087 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.
23⁢x−7
19 577 0.304506786451 Henry Cohn, 2026, needs more optimization.
19 578 0.304544173878 Henry Cohn, 2026, needs more optimization.
19 579 0.304593694529 Henry Cohn, 2026, needs more optimization.
19 580 0.304615291532 Henry Cohn, 2026, needs more optimization.
19 581 0.304620965031 Henry Cohn, 2026, needs more optimization.
19 582 0.304653924831 Henry Cohn, 2026, needs more optimization.
19 583 0.304672671737 Henry Cohn, 2026, needs more optimization.
19 584 0.304687398610 Henry Cohn, 2026, needs more optimization.
19 585 0.304697113347 Henry Cohn, 2026, needs more optimization.
19 586 0.304717514134 Henry Cohn, 2026, needs more optimization.
19 587 0.304742653289 Henry Cohn, 2026, needs more optimization.
19 588 0.304746161910 Henry Cohn, 2026, needs more optimization.
19 589 0.304751781385 Henry Cohn, 2026, needs more optimization.
19 590 0.304779743867 Henry Cohn, 2026, needs more optimization.
19 591 0.304790919226 Henry Cohn, 2026, needs more optimization.
19 592 0.304815376025 Henry Cohn, 2026, needs more optimization.
19 593 0.304832049033 Henry Cohn, 2026, needs more optimization.
19 594 0.304852229854 Henry Cohn, 2026, needs more optimization.
19 595 0.304874410173 Henry Cohn, 2026, needs more optimization.
19 596 0.304881290030 Henry Cohn, 2026, needs more optimization.
19 597 0.304891448814 Henry Cohn, 2026, needs more optimization.
19 598 0.304901839130 Henry Cohn, 2026, needs more optimization.
19 599 0.304914344694 Henry Cohn, 2026, needs more optimization.
19 600 0.304923568118 Henry Cohn, 2026, needs more optimization.
19 601 0.304945791855 Henry Cohn, 2026, needs more optimization.
19 602 0.304949515529 Henry Cohn, 2026, needs more optimization.
19 603 0.304952179540 Henry Cohn, 2026, needs more optimization.
19 604 0.304953689866 Henry Cohn, 2026, needs more optimization.
19 605 0.304979739263 Henry Cohn, 2026, needs more optimization.
19 606 0.304984404844 Henry Cohn, 2026, needs more optimization.
19 607 0.304987640860 Henry Cohn, 2026, needs more optimization.
19 608 0.305012323835 Henry Cohn, 2026, needs more optimization.
19 609 0.305015389660 Henry Cohn, 2026, needs more optimization.
19 610 0.305018461953 Henry Cohn, 2026, needs more optimization.
19 611 0.305024266795 Henry Cohn, 2026, needs more optimization.
19 612 0.305030625870 Henry Cohn, 2026, needs more optimization.
19 613 0.305033778210 Henry Cohn, 2026, needs more optimization.
19 614 0.305037972129 Henry Cohn, 2026, needs more optimization.
19 615 0.305042115127 Henry Cohn, 2026, needs more optimization.
19 616 0.305049210649 Henry Cohn, 2026, needs more optimization.
19 617 0.305054537122 Henry Cohn, 2026, needs more optimization.
19 618 0.305072528828 Henry Cohn, 2026, needs more optimization.
19 619 0.305077067032 Henry Cohn, 2026, needs more optimization.
19 620 0.305080360224 Henry Cohn, 2026, needs more optimization.
19 621 0.305086248139 Henry Cohn, 2026, needs more optimization.
19 622 0.305090799488 Henry Cohn, 2026, needs more optimization.
19 623 0.305093037584 Henry Cohn, 2026, needs more optimization.
19 624 0.305096486604 Henry Cohn, 2026, needs more optimization.
19 625 0.305097766840 Henry Cohn, 2026, needs more optimization.
19 626 0.305107211368 Henry Cohn, 2026, needs more optimization.
19 627 0.305114671913 Henry Cohn, 2026, needs more optimization.
19 628 0.305118703272 Henry Cohn, 2026, needs more optimization.
19 629 0.305123988522 Henry Cohn, 2026, needs more optimization.
19 630 0.305129792733 Henry Cohn, 2026, needs more optimization.
19 631 0.305138342324 Henry Cohn, 2026, needs more optimization.
19 632 0.305145176934 Henry Cohn, 2026, needs more optimization.
19 633 0.305148330116 Henry Cohn, 2026, needs more optimization.
19 634 0.305153002458 Henry Cohn, 2026, needs more optimization.
19 635 0.305156133357 Henry Cohn, 2026, needs more optimization.
19 636 0.305161236873 Henry Cohn, 2026, needs more optimization.
19 637 0.305164832624 Henry Cohn, 2026, needs more optimization.
19 638 0.305169126386 Henry Cohn, 2026, needs more optimization.
19 639 0.305172862379 Henry Cohn, 2026, needs more optimization.
19 640 0.305174954375 Henry Cohn, 2026, needs more optimization.
19 642 0.308282538353 Henry Cohn, 2026, needs more optimization.
19 643 0.308282948221 Henry Cohn, 2026, needs more optimization.
19 644 0.309146590244 Henry Cohn, 2026, needs more optimization.
19 645 0.309758851179 Henry Cohn, 2026, needs more optimization.
19 646 0.309759481609 Henry Cohn, 2026, needs more optimization.
19 647 0.310680382683 Henry Cohn, 2026, needs more optimization.
19 648 0.310963599668 Henry Cohn, 2026, needs more optimization.
19 649 0.311342699719 Henry Cohn, 2026, needs more optimization.
19 650 0.311464175174 Henry Cohn, 2026, needs more optimization.
19 651 0.311961399945 Henry Cohn, 2026, needs more optimization.
19 652 0.312217927867 Henry Cohn, 2026, needs more optimization.
19 653 0.312273776212 Henry Cohn, 2026, needs more optimization.
19 654 0.312736525805 Henry Cohn, 2026, needs more optimization.
19 655 0.312986088943 Henry Cohn, 2026, needs more optimization.
19 656 0.313156112255 Henry Cohn, 2026, needs more optimization.
19 657 0.313584090765 Henry Cohn, 2026, needs more optimization.
19 658 0.313803930101 Henry Cohn, 2026, needs more optimization.
19 659 0.314015753353 Henry Cohn, 2026, needs more optimization.
19 660 0.314168124703 Henry Cohn, 2026, needs more optimization.
19 661 0.314400595602 Henry Cohn, 2026, needs more optimization.
19 662 0.314549543763 Henry Cohn, 2026, needs more optimization.
19 663 0.314815121364 Henry Cohn, 2026, needs more optimization.
19 664 0.314978711808 Henry Cohn, 2026, needs more optimization.
19 665 0.315231793538 Henry Cohn, 2026, needs more optimization.
19 666 0.315360948831 Henry Cohn, 2026, needs more optimization.
19 667 0.315396235000 Henry Cohn, 2026, needs more optimization.
19 668 0.315680890214 Henry Cohn, 2026, needs more optimization.
19 669 0.315856462729 Henry Cohn, 2026, needs more optimization.
19 670 0.316110336684 Henry Cohn, 2026, needs more optimization.
19 671 0.316459149429 Henry Cohn, 2026, needs more optimization.
19 672 0.316550314529 Henry Cohn, 2026, needs more optimization.
19 673 0.316706344414 Henry Cohn, 2026, needs more optimization.
19 674 0.316969526363 Henry Cohn, 2026, needs more optimization.
19 675 0.317123281999 Henry Cohn, 2026, needs more optimization.
19 676 0.317251476581 Henry Cohn, 2026, needs more optimization.
19 677 0.317324099244 Henry Cohn, 2026, needs more optimization.
19 678 0.317581057305 Henry Cohn, 2026, needs more optimization.
19 679 0.317934732807 Henry Cohn, 2026, needs more optimization.
19 680 0.318240112282 Henry Cohn, 2026, needs more optimization.
19 681 0.318373214602 Henry Cohn, 2026, needs more optimization.
19 682 0.318728599482 Henry Cohn, 2026, needs more optimization.
19 683 0.318992238794 Henry Cohn, 2026, needs more optimization.
19 684 0.319321975037 Henry Cohn, 2026, needs more optimization.
19 685 0.319457864865 Henry Cohn, 2026, needs more optimization.
19 686 0.319682378632 Henry Cohn, 2026, needs more optimization.
19 687 0.319793026452 Henry Cohn, 2026, needs more optimization.
19 688 0.320180912470 Henry Cohn, 2026, needs more optimization.
19 689 0.320288529640 Henry Cohn, 2026, needs more optimization.
19 690 0.320495675271 Henry Cohn, 2026, needs more optimization.
19 691 0.320737848266 Henry Cohn, 2026, needs more optimization.
19 692 0.321075300579 Henry Cohn, 2026, needs more optimization.
19 693 0.321293349621 Henry Cohn, 2026, needs more optimization.
19 694 0.321412758886 Henry Cohn, 2026, needs more optimization.
19 695 0.321762941179 Henry Cohn, 2026, needs more optimization.
19 696 0.321908708950 Henry Cohn, 2026, needs more optimization.
19 697 0.322140611100 Henry Cohn, 2026, needs more optimization.
19 698 0.322376383948 Henry Cohn, 2026, needs more optimization.
19 699 0.322548970500 Henry Cohn, 2026, needs more optimization.
19 700 0.322614968615 Henry Cohn, 2026, needs more optimization.
19 701 0.322691901289 Henry Cohn, 2026, needs more optimization.
19 702 0.322927116655 Henry Cohn, 2026, needs more optimization.
19 703 0.323196370464 Henry Cohn, 2026, needs more optimization.
19 704 0.323571007495 Henry Cohn, 2026, needs more optimization.
19 705 0.323715247002 Henry Cohn, 2026, needs more optimization.
19 706 0.323808663271 Henry Cohn, 2026, needs more optimization.
19 707 0.323995043555 Henry Cohn, 2026, needs more optimization.
19 708 0.324138944647 Henry Cohn, 2026, needs more optimization.
19 709 0.324311655546 Henry Cohn, 2026, needs more optimization.
19 710 0.324386021359 Henry Cohn, 2026, needs more optimization.
19 711 0.324476538723 Henry Cohn, 2026, needs more optimization.
19 712 0.324556293278 Henry Cohn, 2026, needs more optimization.
19 713 0.324828350135 Henry Cohn, 2026, needs more optimization.
19 714 0.324924655045 Henry Cohn, 2026, needs more optimization.
19 715 0.325146068062 Henry Cohn, 2026, needs more optimization.
19 716 0.325368383389 Henry Cohn, 2026, needs more optimization.
19 717 0.325619558049 Henry Cohn, 2026, needs more optimization.
19 718 0.325809983134 Henry Cohn, 2026, needs more optimization.
19 719 0.326042953422 Henry Cohn, 2026, needs more optimization.
19 720 0.326210829504 Henry Cohn, 2026, needs more optimization.
19 721 0.326328548917 Henry Cohn, 2026, needs more optimization.
19 722 0.326532649732 Henry Cohn, 2026, needs more optimization.
19 723 0.326641109590 Henry Cohn, 2026, needs more optimization.
19 724 0.326716820393 Henry Cohn, 2026, needs more optimization.
19 725 0.326822964839 Henry Cohn, 2026, needs more optimization.
19 726 0.326991211465 Henry Cohn, 2026, needs more optimization.
19 727 0.327099335394 Henry Cohn, 2026, needs more optimization.
19 728 0.327264537615 Henry Cohn, 2026, needs more optimization.
19 729 0.327408109270 Henry Cohn, 2026, needs more optimization.
19 730 0.327712272264 Henry Cohn, 2026, needs more optimization.
19 731 0.327805625649 Henry Cohn, 2026, needs more optimization.
19 732 0.327942119406 Henry Cohn, 2026, needs more optimization.
19 733 0.328136307784 Henry Cohn, 2026, needs more optimization.
19 734 0.328262619542 Henry Cohn, 2026, needs more optimization.
19 735 0.328432332226 Henry Cohn, 2026, needs more optimization.
19 736 0.328575979673 Henry Cohn, 2026, needs more optimization.
19 737 0.328766763427 Henry Cohn, 2026, needs more optimization.
19 738 0.328953094444 Henry Cohn, 2026, needs more optimization.
19 739 0.329147348982 Henry Cohn, 2026, needs more optimization.
19 740 0.329457056934 Henry Cohn, 2026, needs more optimization.
19 741 0.329765504174 Henry Cohn, 2026, needs more optimization.
19 742 0.329881569834 Henry Cohn, 2026, needs more optimization.
19 743 0.330141416585 Henry Cohn, 2026, needs more optimization.
19 744 0.330406142501 Henry Cohn, 2026, needs more optimization.
19 745 0.330494421354 Henry Cohn, 2026, needs more optimization.
19 746 0.330749349744 Henry Cohn, 2026, needs more optimization.
19 747 0.330842433561 Henry Cohn, 2026, needs more optimization.
19 748 0.331096336913 Henry Cohn, 2026, needs more optimization.
19 749 0.331230848963 Henry Cohn, 2026, needs more optimization.
19 750 0.331425686051 Henry Cohn, 2026, needs more optimization.
19 751 0.331655265136 Henry Cohn, 2026, needs more optimization.
19 752 0.331888512574 Henry Cohn, 2026, needs more optimization.
19 753 0.332153134208 Henry Cohn, 2026, needs more optimization.
19 754 0.332352276592 Henry Cohn, 2026, needs more optimization.
19 755 0.332691519168 Henry Cohn, 2026, needs more optimization.
19 756 0.332867288857 Henry Cohn, 2026, needs more optimization.
19 757 0.333078213761 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 0.339484568401 Henry Cohn, 2026, needs more optimization.
19 898 0.341214480952 Henry Cohn, 2026, needs more optimization.
19 899 0.342639678788 Henry Cohn, 2026, needs more optimization.
19 900 0.344039395388 Henry Cohn, 2026, needs more optimization.
19 901 0.345544602312 Henry Cohn, 2026, needs more optimization.
19 902 0.346061020475 Henry Cohn, 2026, needs more optimization.
19 903 0.346847497269 Henry Cohn, 2026, needs more optimization.
19 904 0.347410112705 Henry Cohn, 2026, needs more optimization.
19 905 0.347949428126 Henry Cohn, 2026, needs more optimization.
19 906 0.348391325579 Henry Cohn, 2026, needs more optimization.
19 907 0.349047498867 Henry Cohn, 2026, needs more optimization.
19 908 0.349306348234 Henry Cohn, 2026, needs more optimization.
19 909 0.349734497313 Henry Cohn, 2026, needs more optimization.
19 910 0.350020131580 Henry Cohn, 2026, needs more optimization.
19 911 0.350123344880 Henry Cohn, 2026, needs more optimization.
19 912 0.350866681030 Henry Cohn, 2026, needs more optimization.
19 913 0.351002441357 Henry Cohn, 2026, needs more optimization.
19 914 0.351397739517 Henry Cohn, 2026, needs more optimization.
19 915 0.351484130785 Henry Cohn, 2026, needs more optimization.
19 916 0.351531037932 Henry Cohn, 2026, needs more optimization.
19 917 0.351619501189 Henry Cohn, 2026, needs more optimization.
19 918 0.351664590736 Henry Cohn, 2026, needs more optimization.
19 919 0.351800276326 Henry Cohn, 2026, needs more optimization.
19 920 0.351920189806 Henry Cohn, 2026, needs more optimization.
19 921 0.352111996445 Henry Cohn, 2026, needs more optimization.
19 922 0.352196164486 Henry Cohn, 2026, needs more optimization.
19 923 0.352273788968 Henry Cohn, 2026, needs more optimization.
19 924 0.352470887912 Henry Cohn, 2026, needs more optimization.
19 925 0.352538293073 Henry Cohn, 2026, needs more optimization.
19 926 0.352739963180 Henry Cohn, 2026, needs more optimization.
19 927 0.352997840595 Henry Cohn, 2026, needs more optimization.
19 928 0.353090955728 Henry Cohn, 2026, needs more optimization.
19 929 0.353230420678 Henry Cohn, 2026, needs more optimization.
19 930 0.353435076089 Henry Cohn, 2026, needs more optimization.
19 931 0.353686706140 Henry Cohn, 2026, needs more optimization.
19 932 0.353783146162 Henry Cohn, 2026, needs more optimization.
19 933 0.353871222440 Henry Cohn, 2026, needs more optimization.
19 934 0.354038520919 Henry Cohn, 2026, needs more optimization.
19 935 0.354198532308 Henry Cohn, 2026, needs more optimization.
19 936 0.354343602758 Henry Cohn, 2026, needs more optimization.
19 937 0.354523625015 Henry Cohn, 2026, needs more optimization.
19 938 0.354688802817 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 0.087640553689 Henry Cohn, 2026, needs more optimization.
20 66 0.089602007874 Henry Cohn, 2026.
20 67 0.090150903490 Henry Cohn, 2026.
2103⁢x4−1376⁢x3+230⁢x2−1
20 68 0.092978419163 Henry Cohn, 2026.
20 69 0.098517496575 Henry Cohn, 2026, needs more optimization.
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 0.112895349919 Henry Cohn, 2026, needs more optimization.
20 84 0.112895349921 Henry Cohn, 2026, needs more optimization.
20 85 0.112902505496 Henry Cohn, 2026, needs more optimization.
20 86 0.112908499193 Henry Cohn, 2026, needs more optimization.
20 87 0.112912074804 Henry Cohn, 2025, needs more optimization.
20 88 0.112912612812 Henry Cohn, 2025, needs more optimization.
20 89 0.112912613185 Henry Cohn, 2025, needs more optimization.
20 92 0.112912613537 Henry Cohn, 2025.
167⁢x2−10⁢x−1
20 93 0.118699001808 Henry Cohn, 2026, needs more optimization.
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, needs more optimization.
20 125 0.147670835572 Henry Cohn, 2026.
20 126 0.149455666211 Henry Cohn, 2026, needs more optimization.
20 127 0.150037479320 Henry Cohn, 2026, needs more optimization.
20 128 0.150089331134 Henry Cohn, 2026, needs more optimization.
20 129 0.150479969270 Henry Cohn, 2026, needs more optimization.
20 130 0.150480218644 Henry Cohn, 2026, needs more optimization.
20 131 0.150517754501 Henry Cohn, 2026, needs more optimization.
20 132 0.150535993757 Henry Cohn, 2026, needs more optimization.
20 133 0.151452462043 Henry Cohn, 2026, needs more optimization.
20 135 0.151500526299 Henry Cohn, 2026, needs more optimization.
20 136 0.151500526411 Henry Cohn, 2026, needs more optimization.
20 137 0.153202651092 Henry Cohn, 2026, needs more optimization.
20 138 0.154393204631 Henry Cohn, 2026, needs more optimization.
20 139 0.154944920637 Henry Cohn, 2026, needs more optimization.
20 140 0.156027125137 Henry Cohn, 2026, needs more optimization.
20 141 0.157229456154 Henry Cohn, 2026, needs more optimization.
20 142 0.161809087523 Henry Cohn, 2026, needs more optimization.
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 0.181540268746 Henry Cohn, 2026, needs more optimization.
20 172 0.187904513389 Henry Cohn, 2026, needs more optimization.
20 178 0.189190502255 Henry Cohn, 2026, needs more optimization.
20 190 0.189190797505 Henry Cohn, 2026, needs more optimization.
20 191 0.189888019513 Henry Cohn, 2026, needs more optimization.
20 201 0.191919201159 Henry Cohn, 2026, needs more optimization.
20 202 0.191919720996 Henry Cohn, 2026, needs more optimization.
20 203 0.191924662091 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, needs more optimization.
20 258 0.205920911961 Henry Cohn, 2026, needs more optimization.
20 259 0.207516721309 Henry Cohn, 2026, needs more optimization.
20 262 0.208386799892 Henry Cohn, 2026, needs more optimization.
20 263 0.208834164016 Henry Cohn, 2026, needs more optimization.
20 264 0.208834164080 Henry Cohn, 2026, needs more optimization.
20 265 0.212161870325 Henry Cohn, 2026, needs more optimization.
20 266 0.212395883497 Henry Cohn, 2026, needs more optimization.
20 267 0.213289417072 Henry Cohn, 2026, needs more optimization.
20 268 0.213331658635 Henry Cohn, 2026, needs more optimization.
20 269 0.213339694698 Henry Cohn, 2026, needs more optimization.
20 270 0.213414373513 Henry Cohn, 2026, needs more optimization.
20 271 0.213859760728 Henry Cohn, 2026, needs more optimization.
20 272 0.215398955249 Henry Cohn, 2026, needs more optimization.
20 273 0.215512842003 Henry Cohn, 2026, needs more optimization.
20 274 0.215589513226 Henry Cohn, 2026, needs more optimization.
20 275 0.215828265552 Henry Cohn, 2026, needs more optimization.
20 276 0.215927605472 Henry Cohn, 2026, needs more optimization.
20 277 0.215979918113 Henry Cohn, 2026, needs more optimization.
20 278 0.216159753974 Henry Cohn, 2026, needs more optimization.
20 279 0.216311948379 Henry Cohn, 2026, needs more optimization.
20 280 0.216551827991 Henry Cohn, 2026, needs more optimization.
20 281 0.216764918429 Henry Cohn, 2026, needs more optimization.
20 282 0.217059841977 Henry Cohn, 2026, needs more optimization.
20 283 0.217450127574 Henry Cohn, 2026, needs more optimization.
20 284 0.217931873498 Henry Cohn, 2026, needs more optimization.
20 285 0.218270255340 Henry Cohn, 2026, needs more optimization.
20 286 0.218626302999 Henry Cohn, 2026, needs more optimization.
20 287 0.218962733424 Henry Cohn, 2026, needs more optimization.
20 288 0.219755715562 Henry Cohn, 2026, needs more optimization.
20 289 0.220182922610 Henry Cohn, 2026, needs more optimization.
20 290 0.220495466633 Henry Cohn, 2026, needs more optimization.
20 291 0.220669085589 Henry Cohn, 2026, needs more optimization.
20 292 0.220694324046 Henry Cohn, 2026, needs more optimization.
20 293 0.220694324216 Henry Cohn, 2026, needs more optimization.
20 294 0.220694933877 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
20 378 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 0.242771242298 Henry Cohn, 2026, needs more optimization.
20 380 0.244552074501 Henry Cohn, 2026, needs more optimization.
20 381 0.245516075594 Henry Cohn, 2026, needs more optimization.
20 382 0.246800658671 Henry Cohn, 2026, needs more optimization.
20 383 0.247227329920 Henry Cohn, 2026, needs more optimization.
20 384 0.248124321342 Henry Cohn, 2026, needs more optimization.
20 385 0.249161472572 Henry Cohn, 2026, needs more optimization.
20 386 0.249971410406 Henry Cohn, 2026, needs more optimization.
20 405 0.25 C. Ma, T. T. Zhaowei, 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 0.262172700829 Henry Cohn, 2026, needs more optimization.
20 407 0.264990837517 Henry Cohn, 2026, needs more optimization.
20 473 0.266666666667 Henry Cohn, 2025.
15⁢x−4
20 474 0.269857135837 Henry Cohn, 2026, needs more optimization.
20 475 0.271266588144 Henry Cohn, 2026, needs more optimization.
20 476 0.272600459714 Henry Cohn, 2026, needs more optimization.
20 477 0.273425949112 Henry Cohn, 2026, needs more optimization.
20 478 0.274351551606 Henry Cohn, 2026, needs more optimization.
20 479 0.275154240084 Henry Cohn, 2026, needs more optimization.
20 480 0.275393797266 Henry Cohn, 2026, needs more optimization.
20 481 0.275394628472 Henry Cohn, 2026, needs more optimization.
20 482 0.275400159763 Henry Cohn, 2026, needs more optimization.
20 483 0.275413471493 Henry Cohn, 2026, needs more optimization.
20 484 0.275416379925 Henry Cohn, 2026, needs more optimization.
20 485 0.275433013127 Henry Cohn, 2026, needs more optimization.
20 486 0.275440437671 Henry Cohn, 2026, needs more optimization.
20 487 0.275448304691 Henry Cohn, 2026, needs more optimization.
20 488 0.275454203185 Henry Cohn, 2026, needs more optimization.
20 489 0.275455611141 Henry Cohn, 2026, needs more optimization.
20 490 0.275457626806 Henry Cohn, 2026, needs more optimization.
20 491 0.275461856650 Henry Cohn, 2026, needs more optimization.
20 492 0.275463499676 Henry Cohn, 2026, needs more optimization.
20 493 0.275464910541 Henry Cohn, 2026, needs more optimization.
20 494 0.275466640205 Henry Cohn, 2026, needs more optimization.
20 495 0.275479004999 Henry Cohn, 2026, needs more optimization.
20 496 0.275480436890 Henry Cohn, 2026, needs more optimization.
20 497 0.275481265833 Henry Cohn, 2026, needs more optimization.
20 498 0.275488237866 Henry Cohn, 2026, needs more optimization.
20 499 0.281077845265 Henry Cohn, 2026, needs more optimization.
20 500 0.281182781046 Henry Cohn, 2026, needs more optimization.
20 501 0.281279546829 Henry Cohn, 2026, needs more optimization.
20 502 0.281279620956 Henry Cohn, 2026, needs more optimization.
20 503 0.281342087864 Henry Cohn, 2026, needs more optimization.
20 504 0.282696470396 Henry Cohn, 2026, needs more optimization.
20 505 0.283341720107 Henry Cohn, 2026, needs more optimization.
20 508 0.283342083290 Henry Cohn, 2026, needs more optimization.
20 511 0.283342142671 Henry Cohn, 2026, needs more optimization.
20 520 0.287891315628 Henry Cohn, 2026, needs more optimization.
20 521 0.289338827471 Henry Cohn, 2026, needs more optimization.
20 522 0.289726811056 Henry Cohn, 2026, needs more optimization.
20 523 0.289726811172 Henry Cohn, 2026, needs more optimization.
20 544 0.289726812929 Henry Cohn, 2026, needs more optimization.
20 550 0.289726813054 Henry Cohn, 2026, needs more optimization.
20 551 0.289734498773 Henry Cohn, 2026, needs more optimization.
20 552 0.289734678893 Henry Cohn, 2026, needs more optimization.
20 553 0.291237953536 Henry Cohn, 2026, needs more optimization.
20 554 0.292502566152 Henry Cohn, 2026, needs more optimization.
20 555 0.293217935049 Henry Cohn, 2026, needs more optimization.
20 556 0.293627587392 Henry Cohn, 2026, needs more optimization.
20 557 0.293818268667 Henry Cohn, 2026, needs more optimization.
20 558 0.300064914707 Henry Cohn, 2026, needs more optimization.
20 559 0.300142099675 Henry Cohn, 2026, needs more optimization.
20 560 0.300264913051 Henry Cohn, 2026, needs more optimization.
20 561 0.300337156197 Henry Cohn, 2026, needs more optimization.
20 562 0.300509190517 Henry Cohn, 2026, needs more optimization.
20 563 0.300674467329 Henry Cohn, 2026, needs more optimization.
20 564 0.302892302407 Henry Cohn, 2026, needs more optimization.
20 565 0.303031652608 Henry Cohn, 2026, needs more optimization.
20 566 0.303173682222 Henry Cohn, 2026, needs more optimization.
20 567 0.303418922985 Henry Cohn, 2026, needs more optimization.
20 568 0.303647109386 Henry Cohn, 2026, needs more optimization.
20 673 0.304347826087 Henry Cohn, 2025.
23⁢x−7
20 674 0.304352362490 Henry Cohn, 2026, needs more optimization.
20 676 0.304352504012 Henry Cohn, 2026, needs more optimization.
20 677 0.304352602428 Henry Cohn, 2026, needs more optimization.
20 678 0.304352612527 Henry Cohn, 2026, needs more optimization.
20 679 0.304352625038 Henry Cohn, 2026, needs more optimization.
20 680 0.304352647715 Henry Cohn, 2026, needs more optimization.
20 681 0.304352700059 Henry Cohn, 2026, needs more optimization.
20 682 0.304352863775 Henry Cohn, 2026, needs more optimization.
20 683 0.304353014945 Henry Cohn, 2026, needs more optimization.
20 684 0.304353314006 Henry Cohn, 2026, needs more optimization.
20 685 0.304353737285 Henry Cohn, 2026, needs more optimization.
20 686 0.304354044378 Henry Cohn, 2026, needs more optimization.
20 687 0.304354482484 Henry Cohn, 2026, needs more optimization.
20 688 0.304355213017 Henry Cohn, 2026, needs more optimization.
20 689 0.304355673300 Henry Cohn, 2026, needs more optimization.
20 690 0.304358287428 Henry Cohn, 2026, needs more optimization.
20 691 0.304361464115 Henry Cohn, 2026, needs more optimization.
20 692 0.304368328486 Henry Cohn, 2026, needs more optimization.
20 693 0.304380296928 Henry Cohn, 2026, needs more optimization.
20 694 0.304384719302 Henry Cohn, 2026, needs more optimization.
20 695 0.304390537926 Henry Cohn, 2026, needs more optimization.
20 696 0.304398829223 Henry Cohn, 2026, needs more optimization.
20 697 0.304404408676 Henry Cohn, 2026, needs more optimization.
20 698 0.304412772695 Henry Cohn, 2026, needs more optimization.
20 700 0.304415022668 Henry Cohn, 2026, needs more optimization.
20 702 0.304417024628 Henry Cohn, 2026, needs more optimization.
20 703 0.304601372863 Henry Cohn, 2026, needs more optimization.
20 704 0.304621099310 Henry Cohn, 2026, needs more optimization.
20 705 0.304642286645 Henry Cohn, 2026, needs more optimization.
20 706 0.304812797832 Henry Cohn, 2026, needs more optimization.
20 707 0.304834704193 Henry Cohn, 2026, needs more optimization.
20 708 0.305039682270 Henry Cohn, 2026, needs more optimization.
20 713 0.305040372669 Henry Cohn, 2026, needs more optimization.
20 719 0.305043016132 Henry Cohn, 2026, needs more optimization.
20 720 0.305044779002 Henry Cohn, 2026, needs more optimization.
20 725 0.305089557116 Henry Cohn, 2026, needs more optimization.
20 728 0.305162987901 Henry Cohn, 2026, needs more optimization.
20 729 0.305268136762 Henry Cohn, 2026, needs more optimization.
20 730 0.305366974392 Henry Cohn, 2026, needs more optimization.
20 731 0.306148369992 Henry Cohn, 2026, needs more optimization.
20 732 0.306246159638 Henry Cohn, 2026, needs more optimization.
20 733 0.306270570526 Henry Cohn, 2026, needs more optimization.
20 735 0.306301689082 Henry Cohn, 2026, needs more optimization.
20 736 0.306313329570 Henry Cohn, 2026, needs more optimization.
20 737 0.306315917121 Henry Cohn, 2026, needs more optimization.
20 738 0.306361267744 Henry Cohn, 2026, needs more optimization.
20 739 0.306391488538 Henry Cohn, 2026, needs more optimization.
20 740 0.306398185032 Henry Cohn, 2026, needs more optimization.
20 741 0.306430366940 Henry Cohn, 2026, needs more optimization.
20 742 0.306435624868 Henry Cohn, 2026, needs more optimization.
20 746 0.306478494283 Henry Cohn, 2026, needs more optimization.
20 747 0.306515895081 Henry Cohn, 2026, needs more optimization.
20 749 0.306520422976 Henry Cohn, 2026, needs more optimization.
20 751 0.306544431706 Henry Cohn, 2026, needs more optimization.
20 752 0.306558723325 Henry Cohn, 2026, needs more optimization.
20 753 0.306595219259 Henry Cohn, 2026, needs more optimization.
20 755 0.306605783169 Henry Cohn, 2026, needs more optimization.
20 756 0.306622516615 Henry Cohn, 2026, needs more optimization.
20 758 0.306626587569 Henry Cohn, 2026, needs more optimization.
20 759 0.306676933971 Henry Cohn, 2026, needs more optimization.
20 761 0.306698003977 Henry Cohn, 2026, needs more optimization.
20 762 0.306813368502 Henry Cohn, 2026, needs more optimization.
20 763 0.306842891501 Henry Cohn, 2026, needs more optimization.
20 765 0.307056956741 Henry Cohn, 2026, needs more optimization.
20 767 0.307178763196 Henry Cohn, 2026, needs more optimization.
20 768 0.307262022387 Henry Cohn, 2026, needs more optimization.
20 769 0.307325786984 Henry Cohn, 2026, needs more optimization.
20 772 0.307451256094 Henry Cohn, 2026, needs more optimization.
20 773 0.307481572851 Henry Cohn, 2026, needs more optimization.
20 774 0.307582865791 Henry Cohn, 2026, needs more optimization.
20 780 0.308694540919 Henry Cohn, 2026, needs more optimization.
20 781 0.308850876472 Henry Cohn, 2026, needs more optimization.
20 784 0.309261774031 Henry Cohn, 2026, needs more optimization.
20 785 0.311225872688 Henry Cohn, 2026, needs more optimization.
20 896 0.311475409837 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
61⁢x−19
20 897 0.312148003960 Henry Cohn, 2026, needs more optimization.
20 898 0.312334799780 Henry Cohn, 2026, needs more optimization.
20 899 0.312502674893 Henry Cohn, 2026, needs more optimization.
20 900 0.312535130583 Henry Cohn, 2026, needs more optimization.
20 901 0.312678669163 Henry Cohn, 2026, needs more optimization.
20 902 0.312824876969 Henry Cohn, 2026, needs more optimization.
20 903 0.312928458603 Henry Cohn, 2026, needs more optimization.
20 904 0.312982612953 Henry Cohn, 2026, needs more optimization.
20 905 0.312997834828 Henry Cohn, 2026, needs more optimization.
20 906 0.313124201212 Henry Cohn, 2026, needs more optimization.
20 907 0.313157966794 Henry Cohn, 2026, needs more optimization.
20 908 0.313269275702 Henry Cohn, 2026, needs more optimization.
20 909 0.313291184108 Henry Cohn, 2026, needs more optimization.
20 910 0.313359536879 Henry Cohn, 2026, needs more optimization.
20 911 0.313412018689 Henry Cohn, 2026, needs more optimization.
20 912 0.313456001417 Henry Cohn, 2026, needs more optimization.
20 913 0.313483342317 Henry Cohn, 2026, needs more optimization.
20 914 0.313567179882 Henry Cohn, 2026, needs more optimization.
20 915 0.313657825503 Henry Cohn, 2026, needs more optimization.
20 916 0.313689185245 Henry Cohn, 2026, needs more optimization.
20 917 0.313704288217 Henry Cohn, 2026, needs more optimization.
20 918 0.313767938376 Henry Cohn, 2026, needs more optimization.
20 919 0.313809711254 Henry Cohn, 2026, needs more optimization.
20 920 0.313821753717 Henry Cohn, 2026, needs more optimization.
20 921 0.313849399729 Henry Cohn, 2026, needs more optimization.
20 922 0.313882969206 Henry Cohn, 2026, needs more optimization.
20 923 0.313891791134 Henry Cohn, 2026, needs more optimization.
20 924 0.313896470232 Henry Cohn, 2026, needs more optimization.
20 925 0.313903877161 Henry Cohn, 2026, needs more optimization.
20 926 0.313932743468 Henry Cohn, 2026, needs more optimization.
20 927 0.313976126651 Henry Cohn, 2026, needs more optimization.
20 928 0.313987096650 Henry Cohn, 2026, needs more optimization.
20 929 0.314019415126 Henry Cohn, 2026, needs more optimization.
20 930 0.314060382132 Henry Cohn, 2026, needs more optimization.
20 931 0.314095401116 Henry Cohn, 2026, needs more optimization.
20 932 0.314105414716 Henry Cohn, 2026, needs more optimization.
20 933 0.314130815788 Henry Cohn, 2026, needs more optimization.
20 934 0.314138377266 Henry Cohn, 2026, needs more optimization.
20 935 0.314146139557 Henry Cohn, 2026, needs more optimization.
20 936 0.314148192896 Henry Cohn, 2026, needs more optimization.
20 937 0.314162408472 Henry Cohn, 2026, needs more optimization.
20 938 0.314173973895 Henry Cohn, 2026, needs more optimization.
20 939 0.314188494789 Henry Cohn, 2026, needs more optimization.
20 940 0.314247841153 Henry Cohn, 2026, needs more optimization.
20 941 0.314268150111 Henry Cohn, 2026, needs more optimization.
20 942 0.314280076412 Henry Cohn, 2026, needs more optimization.
20 943 0.314302896893 Henry Cohn, 2026, needs more optimization.
20 944 0.314310558267 Henry Cohn, 2026, needs more optimization.
20 945 0.314323784116 Henry Cohn, 2026, needs more optimization.
20 946 0.314337699210 Henry Cohn, 2026, needs more optimization.
20 947 0.314358056623 Henry Cohn, 2026, needs more optimization.
20 948 0.314389395166 Henry Cohn, 2026, needs more optimization.
20 949 0.314405870312 Henry Cohn, 2026, needs more optimization.
20 950 0.314426869619 Henry Cohn, 2026, needs more optimization.
20 951 0.314452221534 Henry Cohn, 2026, needs more optimization.
20 952 0.314458294723 Henry Cohn, 2026, needs more optimization.
20 953 0.314464350616 Henry Cohn, 2026, needs more optimization.
20 954 0.314500912913 Henry Cohn, 2026, needs more optimization.
20 955 0.314528896989 Henry Cohn, 2026, needs more optimization.
20 956 0.314553955096 Henry Cohn, 2026, needs more optimization.
20 957 0.314566553688 Henry Cohn, 2026, needs more optimization.
20 958 0.314580635862 Henry Cohn, 2026, needs more optimization.
20 959 0.314596423130 Henry Cohn, 2026, needs more optimization.
20 960 0.314608007053 Henry Cohn, 2026, needs more optimization.
20 961 0.314621584946 Henry Cohn, 2026, needs more optimization.
20 962 0.314640337377 Henry Cohn, 2026, needs more optimization.
20 963 0.314645939956 Henry Cohn, 2026, needs more optimization.
20 964 0.314653666340 Henry Cohn, 2026, needs more optimization.
20 965 0.314661749999 Henry Cohn, 2026, needs more optimization.
20 966 0.314668360655 Henry Cohn, 2026, needs more optimization.
20 967 0.314678438983 Henry Cohn, 2026, needs more optimization.
20 968 0.314691494481 Henry Cohn, 2026, needs more optimization.
20 969 0.314696548049 Henry Cohn, 2026, needs more optimization.
20 970 0.314701383628 Henry Cohn, 2026, needs more optimization.
20 974 0.316583183108 Henry Cohn, 2026, needs more optimization.
20 975 0.316589629175 Henry Cohn, 2026, needs more optimization.
20 976 0.316593372163 Henry Cohn, 2026, needs more optimization.
20 977 0.316593733575 Henry Cohn, 2026, needs more optimization.
20 978 0.317262064051 Henry Cohn, 2026, needs more optimization.
20 980 0.318114476474 Henry Cohn, 2026, needs more optimization.
20 982 0.318127565924 Henry Cohn, 2026, needs more optimization.
20 983 0.318136192722 Henry Cohn, 2026, needs more optimization.
20 984 0.318138393023 Henry Cohn, 2026, needs more optimization.
20 985 0.318152080088 Henry Cohn, 2026, needs more optimization.
20 986 0.318153660141 Henry Cohn, 2026, needs more optimization.
20 988 0.318153746872 Henry Cohn, 2026, needs more optimization.
20 989 0.318160373237 Henry Cohn, 2026, needs more optimization.
20 990 0.318457212370 Henry Cohn, 2026, needs more optimization.
20 991 0.319244119024 Henry Cohn, 2026, needs more optimization.
20 992 0.319627225045 Henry Cohn, 2026, needs more optimization.
20 993 0.320385605738 Henry Cohn, 2026, needs more optimization.
20 994 0.320385876778 Henry Cohn, 2026, needs more optimization.
20 995 0.321242993188 Henry Cohn, 2026, needs more optimization.
20 996 0.321249065852 Henry Cohn, 2026, needs more optimization.
20 998 0.321814809068 Henry Cohn, 2026, needs more optimization.
20 1000 0.322127003229 Henry Cohn, 2026, needs more optimization.
20 1001 0.322129161795 Henry Cohn, 2026, needs more optimization.
20 1002 0.322130607055 Henry Cohn, 2026, needs more optimization.
20 1004 0.323102244796 Henry Cohn, 2026, needs more optimization.
20 1006 0.323102922212 Henry Cohn, 2026, needs more optimization.
20 1007 0.323201186660 Henry Cohn, 2026, needs more optimization.
20 1008 0.323202791910 Henry Cohn, 2026, needs more optimization.
20 1010 0.323494779800 Henry Cohn, 2026, needs more optimization.
20 1015 0.323900878302 Henry Cohn, 2026, needs more optimization.
20 1016 0.324000367578 Henry Cohn, 2026, needs more optimization.
20 1017 0.324001737040 Henry Cohn, 2026, needs more optimization.
20 1020 0.324127100111 Henry Cohn, 2026, needs more optimization.
20 1021 0.324213770679 Henry Cohn, 2026, needs more optimization.
20 1022 0.324253213675 Henry Cohn, 2026, needs more optimization.
20 1023 0.324776449183 Henry Cohn, 2026, needs more optimization.
20 1024 0.324776552083 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 0.058803648698 Henry Cohn, 2024.
21 52 0.062635030303 Henry Cohn, 2026.
21 54 0.066665400714 Henry Cohn, 2026, needs more optimization.
21 55 0.066666409280 Henry Cohn, 2025.
21 56 0.066666653891 Henry Cohn, 2025, needs more optimization.
21 57 0.066666662289 Henry Cohn, 2025, needs more optimization.
21 58 0.066666666335 Henry Cohn, 2026, needs more optimization.
21 59 0.072019011748 Henry Cohn, 2025.
21 60 0.074662292991 Henry Cohn, 2026.
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 0.081966984741 Henry Cohn, 2026.
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 0.093247656078 Henry Cohn, 2026.
21 82 0.093297851017 Henry Cohn, 2026.
144⁢x4−840⁢x3+192⁢x2−1
21 83 0.095523255230 Henry Cohn, 2026, needs more optimization.
21 84 0.096073235107 Henry Cohn, 2026, needs more optimization.
21 85 0.097702080330 Henry Cohn, 2026, needs more optimization.
21 86 0.104649382361 Henry Cohn, 2026, needs more optimization.
21 88 0.106199014100 Henry Cohn, 2026, needs more optimization.
21 89 0.108845760578 Henry Cohn, 2026, needs more optimization.
21 90 0.109639633905 Henry Cohn, 2026, needs more optimization.
21 92 0.109918568059 Henry Cohn, 2026, needs more optimization.
21 93 0.110695598499 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.
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 0.139345069179 Henry Cohn, 2026, needs more optimization.
21 121 0.139345419243 Henry Cohn, 2026, needs more optimization.
21 122 0.139345448542 Henry Cohn, 2026, needs more optimization.
21 123 0.139389999308 Henry Cohn, 2026, needs more optimization.
21 124 0.140535690962 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.
21 164 0.160001480508 Henry Cohn, 2026, needs more optimization.
21 165 0.160006477774 Henry Cohn, 2026, needs more optimization.
21 166 0.161610766653 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 0.172187000250 Henry Cohn, 2026, needs more optimization.
21 200 0.174791372016 Henry Cohn, 2026, needs more optimization.
21 201 0.174791438483 Henry Cohn, 2026, needs more optimization.
21 202 0.174882933932 Henry Cohn, 2026, needs more optimization.
21 203 0.174941736856 Henry Cohn, 2026, needs more optimization.
21 204 0.175040842006 Henry Cohn, 2026, needs more optimization.
21 205 0.175127083647 Henry Cohn, 2026, needs more optimization.
21 206 0.175196276425 Henry Cohn, 2026, needs more optimization.
21 207 0.175234887837 Henry Cohn, 2026, needs more optimization.
21 208 0.175251788935 Henry Cohn, 2026, needs more optimization.
21 209 0.175255069449 Henry Cohn, 2026, needs more optimization.
21 210 0.175867232614 Henry Cohn, 2026, needs more optimization.
21 211 0.176009894080 Henry Cohn, 2026, needs more optimization.
21 212 0.176297541985 Henry Cohn, 2026, needs more optimization.
21 213 0.176448403591 Henry Cohn, 2026, needs more optimization.
21 214 0.176740548994 Henry Cohn, 2026, needs more optimization.
21 215 0.176914140065 Henry Cohn, 2026, needs more optimization.
21 216 0.177026191478 Henry Cohn, 2026, needs more optimization.
21 217 0.177199107491 Henry Cohn, 2026, needs more optimization.
21 218 0.177286556405 Henry Cohn, 2026, needs more optimization.
21 219 0.177401695423 Henry Cohn, 2026, needs more optimization.
21 220 0.177468399018 Henry Cohn, 2026, needs more optimization.
21 221 0.177481684800 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 0.185484136403 Henry Cohn, 2026, needs more optimization.
21 227 0.190603599841 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
21 234 0.192307929309 Henry Cohn, 2026, needs more optimization.
21 235 0.192308006431 Henry Cohn, 2026, needs more optimization.
21 236 0.194572309352 Henry Cohn, 2026, needs more optimization.
21 237 0.195372420126 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.
21 392 0.230770376627 Henry Cohn, 2026, needs more optimization.
21 394 0.230771148897 Henry Cohn, 2026, needs more optimization.
21 395 0.230775728466 Henry Cohn, 2026, needs more optimization.
21 396 0.232571473425 Henry Cohn, 2026, needs more optimization.
21 397 0.237334224291 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. T. Zhaowei, 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 0.253543823756 Henry Cohn, 2026, needs more optimization.
21 569 0.254511308576 Henry Cohn, 2026, needs more optimization.
21 570 0.255070244619 Henry Cohn, 2026, needs more optimization.
21 571 0.255482044398 Henry Cohn, 2026, needs more optimization.
21 572 0.255808565819 Henry Cohn, 2026, needs more optimization.
21 573 0.256126613160 Henry Cohn, 2026, needs more optimization.
21 574 0.256387437443 Henry Cohn, 2026, needs more optimization.
21 575 0.256604279072 Henry Cohn, 2026, needs more optimization.
21 576 0.256820779798 Henry Cohn, 2026, needs more optimization.
21 577 0.257069257876 Henry Cohn, 2026, needs more optimization.
21 578 0.257280781367 Henry Cohn, 2026, needs more optimization.
21 579 0.257426707497 Henry Cohn, 2026, needs more optimization.
21 580 0.257578476695 Henry Cohn, 2026, needs more optimization.
21 581 0.257698448238 Henry Cohn, 2026, needs more optimization.
21 582 0.257817954137 Henry Cohn, 2026, needs more optimization.
21 583 0.257904142021 Henry Cohn, 2026, needs more optimization.
21 584 0.258018812921 Henry Cohn, 2026, needs more optimization.
21 585 0.258109503403 Henry Cohn, 2026, needs more optimization.
21 586 0.258238288285 Henry Cohn, 2026, needs more optimization.
21 587 0.258304219068 Henry Cohn, 2026, needs more optimization.
21 588 0.258376051705 Henry Cohn, 2026, needs more optimization.
21 589 0.258446974369 Henry Cohn, 2026, needs more optimization.
21 590 0.258602614075 Henry Cohn, 2026, needs more optimization.
21 591 0.258702882772 Henry Cohn, 2026, needs more optimization.
21 592 0.258737253774 Henry Cohn, 2026, needs more optimization.
21 593 0.258974818811 Henry Cohn, 2026, needs more optimization.
21 594 0.259207952234 Henry Cohn, 2026, needs more optimization.
21 595 0.259319783455 Henry Cohn, 2026, needs more optimization.
21 596 0.259394937196 Henry Cohn, 2026, needs more optimization.
21 597 0.259464854064 Henry Cohn, 2026, needs more optimization.
21 598 0.259601971682 Henry Cohn, 2026, needs more optimization.
21 599 0.259676388256 Henry Cohn, 2026, needs more optimization.
21 600 0.259742011813 Henry Cohn, 2026, needs more optimization.
21 601 0.259793237040 Henry Cohn, 2026, needs more optimization.
21 602 0.259832339377 Henry Cohn, 2026, needs more optimization.
21 603 0.259908246178 Henry Cohn, 2026, needs more optimization.
21 604 0.259940523769 Henry Cohn, 2026, needs more optimization.
21 605 0.260045621598 Henry Cohn, 2026, needs more optimization.
21 606 0.260136545743 Henry Cohn, 2026, needs more optimization.
21 607 0.260230877188 Henry Cohn, 2026, needs more optimization.
21 608 0.260276120554 Henry Cohn, 2026, needs more optimization.
21 609 0.260316803376 Henry Cohn, 2026, needs more optimization.
21 610 0.260499769173 Henry Cohn, 2026, needs more optimization.
21 611 0.260604468963 Henry Cohn, 2026, needs more optimization.
21 612 0.260666046336 Henry Cohn, 2026, needs more optimization.
21 613 0.260788202496 Henry Cohn, 2026, needs more optimization.
21 614 0.260879550633 Henry Cohn, 2026, needs more optimization.
21 615 0.260938811111 Henry Cohn, 2026, needs more optimization.
21 616 0.261029309310 Henry Cohn, 2026, needs more optimization.
21 617 0.261086557763 Henry Cohn, 2026, needs more optimization.
21 618 0.261163460619 Henry Cohn, 2026, needs more optimization.
21 619 0.261230784068 Henry Cohn, 2026, needs more optimization.
21 620 0.261271985250 Henry Cohn, 2026, needs more optimization.
21 621 0.261308908157 Henry Cohn, 2026, needs more optimization.
21 622 0.261349475006 Henry Cohn, 2026, needs more optimization.
21 623 0.261394300844 Henry Cohn, 2026, needs more optimization.
21 624 0.261429259565 Henry Cohn, 2026, needs more optimization.
21 625 0.261463393758 Henry Cohn, 2026, needs more optimization.
21 626 0.261505023581 Henry Cohn, 2026, needs more optimization.
21 627 0.261576957033 Henry Cohn, 2026, needs more optimization.
21 628 0.261632001641 Henry Cohn, 2026, needs more optimization.
21 629 0.261686285028 Henry Cohn, 2026, needs more optimization.
21 630 0.262077672284 Henry Cohn, 2026, needs more optimization.
21 631 0.262329945581 Henry Cohn, 2026, needs more optimization.
21 632 0.262518719829 Henry Cohn, 2026, needs more optimization.
21 633 0.262618112032 Henry Cohn, 2026, needs more optimization.
21 634 0.262689140169 Henry Cohn, 2026, needs more optimization.
21 635 0.262740107792 Henry Cohn, 2026, needs more optimization.
21 636 0.262890656776 Henry Cohn, 2026, needs more optimization.
21 637 0.263011489753 Henry Cohn, 2026, needs more optimization.
21 638 0.263141750144 Henry Cohn, 2026, needs more optimization.
21 639 0.263231256269 Henry Cohn, 2026, needs more optimization.
21 640 0.263331067091 Henry Cohn, 2026, needs more optimization.
21 641 0.263418667294 Henry Cohn, 2026, needs more optimization.
21 642 0.263580494501 Henry Cohn, 2026, needs more optimization.
21 643 0.263705914823 Henry Cohn, 2026, needs more optimization.
21 644 0.263828267635 Henry Cohn, 2026, needs more optimization.
21 645 0.263936564277 Henry Cohn, 2026, needs more optimization.
21 646 0.263974662300 Henry Cohn, 2026, needs more optimization.
21 647 0.264051682566 Henry Cohn, 2026, needs more optimization.
21 648 0.264127431776 Henry Cohn, 2026, needs more optimization.
21 649 0.264188987156 Henry Cohn, 2026, needs more optimization.
21 650 0.264295839738 Henry Cohn, 2026, needs more optimization.
21 651 0.264369149635 Henry Cohn, 2026, needs more optimization.
21 652 0.264440047602 Henry Cohn, 2026, needs more optimization.
21 653 0.264507629970 Henry Cohn, 2026, needs more optimization.
21 654 0.264560912625 Henry Cohn, 2026, needs more optimization.
21 655 0.264636666006 Henry Cohn, 2026, needs more optimization.
21 656 0.264735486438 Henry Cohn, 2026, needs more optimization.
21 657 0.264804691419 Henry Cohn, 2026, needs more optimization.
21 658 0.264896932372 Henry Cohn, 2026, needs more optimization.
21 659 0.264990818808 Henry Cohn, 2026, needs more optimization.
21 660 0.265126260100 Henry Cohn, 2026, needs more optimization.
21 661 0.265181054985 Henry Cohn, 2026, needs more optimization.
21 662 0.265233316403 Henry Cohn, 2026, needs more optimization.
21 663 0.265297895344 Henry Cohn, 2026, needs more optimization.
21 664 0.265376717952 Henry Cohn, 2026, needs more optimization.
21 665 0.265449359904 Henry Cohn, 2026, needs more optimization.
21 666 0.265522945371 Henry Cohn, 2026, needs more optimization.
21 667 0.265560365525 Henry Cohn, 2026, needs more optimization.
21 668 0.265605810210 Henry Cohn, 2026, needs more optimization.
21 669 0.265633767888 Henry Cohn, 2026, needs more optimization.
21 670 0.265669353060 Henry Cohn, 2026, needs more optimization.
21 671 0.265732577571 Henry Cohn, 2026, needs more optimization.
21 672 0.265770747149 Henry Cohn, 2026, needs more optimization.
21 673 0.265853816409 Henry Cohn, 2026, needs more optimization.
21 674 0.265902370373 Henry Cohn, 2026, needs more optimization.
21 675 0.265960677245 Henry Cohn, 2026, needs more optimization.
21 676 0.266028340242 Henry Cohn, 2026, needs more optimization.
21 677 0.266081036282 Henry Cohn, 2026, needs more optimization.
21 678 0.266136777582 Henry Cohn, 2026, needs more optimization.
21 679 0.266167863374 Henry Cohn, 2026, needs more optimization.
21 680 0.266224683365 Henry Cohn, 2026, needs more optimization.
21 681 0.266280377778 Henry Cohn, 2026, needs more optimization.
21 682 0.266343579024 Henry Cohn, 2026, needs more optimization.
21 683 0.266505569797 Henry Cohn, 2026, needs more optimization.
21 684 0.266586819377 Henry Cohn, 2026, needs more optimization.
21 685 0.266668455446 Henry Cohn, 2026, needs more optimization.
21 686 0.266720185134 Henry Cohn, 2026, needs more optimization.
21 687 0.266775357376 Henry Cohn, 2026, needs more optimization.
21 688 0.266841018277 Henry Cohn, 2026, needs more optimization.
21 689 0.266878055093 Henry Cohn, 2026, needs more optimization.
21 690 0.266947222145 Henry Cohn, 2026, needs more optimization.
21 691 0.266967859251 Henry Cohn, 2026, needs more optimization.
21 692 0.267003078311 Henry Cohn, 2026, needs more optimization.
21 693 0.267031902117 Henry Cohn, 2026, needs more optimization.
21 694 0.267057776235 Henry Cohn, 2026, needs more optimization.
21 695 0.267074284294 Henry Cohn, 2026, needs more optimization.
21 696 0.267090184879 Henry Cohn, 2026, needs more optimization.
21 697 0.267097515353 Henry Cohn, 2026, needs more optimization.
21 698 0.267099558128 Henry Cohn, 2026, needs more optimization.
21 699 0.267100215953 Henry Cohn, 2026, needs more optimization.
21 700 0.267100730559 Henry Cohn, 2026, needs more optimization.
21 701 0.267101075150 Henry Cohn, 2026, needs more optimization.
21 702 0.267102759895 Henry Cohn, 2026, needs more optimization.
21 703 0.267109113683 Henry Cohn, 2026, needs more optimization.
21 728 0.267171850614 Henry Cohn, 2026, needs more optimization.
21 729 0.267261241913 Henry Cohn, 2026.
14⁢x2−1
21 730 0.277255724480 Henry Cohn, 2026, needs more optimization.
21 731 0.282350397256 Henry Cohn, 2026, needs more optimization.
21 732 0.284705153262 Henry Cohn, 2026, needs more optimization.
21 850 0.285714285715 Henry Cohn, 2026.
7⁢x−2
21 851 0.290303635104 Henry Cohn, 2026, needs more optimization.
21 852 0.291100766110 Henry Cohn, 2026, needs more optimization.
21 853 0.291729325190 Henry Cohn, 2026, needs more optimization.
21 854 0.292110658775 Henry Cohn, 2026, needs more optimization.
21 855 0.292435594190 Henry Cohn, 2026, needs more optimization.
21 856 0.292768184046 Henry Cohn, 2026, needs more optimization.
21 857 0.293060004621 Henry Cohn, 2026, needs more optimization.
21 858 0.293325013893 Henry Cohn, 2026, needs more optimization.
21 859 0.293640633169 Henry Cohn, 2026, needs more optimization.
21 860 0.294187435880 Henry Cohn, 2026, needs more optimization.
21 861 0.294644919349 Henry Cohn, 2026, needs more optimization.
21 862 0.294760066354 Henry Cohn, 2026, needs more optimization.
21 863 0.295038772374 Henry Cohn, 2026, needs more optimization.
21 864 0.295360800842 Henry Cohn, 2026, needs more optimization.
21 865 0.295531268691 Henry Cohn, 2026, needs more optimization.
21 866 0.295669915682 Henry Cohn, 2026, needs more optimization.
21 867 0.295902803628 Henry Cohn, 2026, needs more optimization.
21 868 0.296148366869 Henry Cohn, 2026, needs more optimization.
21 869 0.296401112803 Henry Cohn, 2026, needs more optimization.
21 870 0.296584275443 Henry Cohn, 2026, needs more optimization.
21 871 0.296708758756 Henry Cohn, 2026, needs more optimization.
21 872 0.296783482279 Henry Cohn, 2026, needs more optimization.
21 873 0.298071007897 Henry Cohn, 2026, needs more optimization.
21 874 0.298647601186 Henry Cohn, 2026, needs more optimization.
21 875 0.298774665817 Henry Cohn, 2026, needs more optimization.
21 876 0.298940026674 Henry Cohn, 2026, needs more optimization.
21 877 0.299121560893 Henry Cohn, 2026, needs more optimization.
21 878 0.299760484012 Henry Cohn, 2026, needs more optimization.
21 879 0.299845832737 Henry Cohn, 2026, needs more optimization.
21 880 0.300358755216 Henry Cohn, 2026, needs more optimization.
21 881 0.300454895686 Henry Cohn, 2026, needs more optimization.
21 882 0.300637402810 Henry Cohn, 2026, needs more optimization.
21 883 0.300904209748 Henry Cohn, 2026, needs more optimization.
21 884 0.301106078756 Henry Cohn, 2026, needs more optimization.
21 885 0.301399140183 Henry Cohn, 2026, needs more optimization.
21 886 0.301575390749 Henry Cohn, 2026, needs more optimization.
21 887 0.301759818931 Henry Cohn, 2026, needs more optimization.
21 888 0.301859313825 Henry Cohn, 2026, needs more optimization.
21 889 0.301964805886 Henry Cohn, 2026, needs more optimization.
21 890 0.302071350537 Henry Cohn, 2026, needs more optimization.
21 891 0.302184938725 Henry Cohn, 2026, needs more optimization.
21 892 0.302405688224 Henry Cohn, 2026, needs more optimization.
21 893 0.302635295494 Henry Cohn, 2026, needs more optimization.
21 894 0.302833008050 Henry Cohn, 2026, needs more optimization.
21 895 0.302949373074 Henry Cohn, 2026, needs more optimization.
21 896 0.303345528307 Henry Cohn, 2026, needs more optimization.
21 897 0.303697544602 Henry Cohn, 2026, needs more optimization.
21 898 0.303911516346 Henry Cohn, 2026, needs more optimization.
21 899 0.304159554761 Henry Cohn, 2026, needs more optimization.
21 900 0.304380531639 Henry Cohn, 2026, needs more optimization.
21 901 0.304565801053 Henry Cohn, 2026, needs more optimization.
21 902 0.304816949066 Henry Cohn, 2026, needs more optimization.
21 903 0.305067026171 Henry Cohn, 2026, needs more optimization.
21 904 0.305236893692 Henry Cohn, 2026, needs more optimization.
21 905 0.305301001061 Henry Cohn, 2026, needs more optimization.
21 906 0.305444710088 Henry Cohn, 2026, needs more optimization.
21 907 0.305561836553 Henry Cohn, 2026, needs more optimization.
21 908 0.305719853432 Henry Cohn, 2026, needs more optimization.
21 909 0.305848423836 Henry Cohn, 2026, needs more optimization.
21 910 0.306020067847 Henry Cohn, 2026, needs more optimization.
21 911 0.306112459253 Henry Cohn, 2026, needs more optimization.
21 912 0.306259465448 Henry Cohn, 2026, needs more optimization.
21 913 0.306380807250 Henry Cohn, 2026, needs more optimization.
21 914 0.306497340903 Henry Cohn, 2026, needs more optimization.
21 915 0.306607955156 Henry Cohn, 2026, needs more optimization.
21 916 0.306739544561 Henry Cohn, 2026, needs more optimization.
21 917 0.306896258199 Henry Cohn, 2026, needs more optimization.
21 918 0.306999316923 Henry Cohn, 2026, needs more optimization.
21 919 0.307084862460 Henry Cohn, 2026, needs more optimization.
21 920 0.307158229235 Henry Cohn, 2026, needs more optimization.
21 921 0.307274290855 Henry Cohn, 2026, needs more optimization.
21 922 0.307406570332 Henry Cohn, 2026, needs more optimization.
21 923 0.307520833737 Henry Cohn, 2026, needs more optimization.
21 924 0.307631152584 Henry Cohn, 2026, needs more optimization.
21 1024 0.307692307693 Henry Cohn, 2026.
13⁢x−4
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 0.047603596724 Henry Cohn, 2026.
22 50 0.047618606209 Henry Cohn, 2025, needs more optimization.
22 52 0.047619047316 Henry Cohn, 2025, needs more optimization.
22 53 0.057560345703 Henry Cohn, 2024.
22 54 0.060108874148 Henry Cohn, 2025.
22 55 0.064358001899 Henry Cohn, 2026.
22 56 0.066447990856 Henry Cohn, 2026, needs more optimization.
22 57 0.066559109857 Henry Cohn, 2026.
22 58 0.066626702549 Henry Cohn, 2026, needs more optimization.
22 59 0.066653900529 Henry Cohn, 2026, needs more optimization.
22 60 0.066662323881 Henry Cohn, 2026, needs more optimization.
22 61 0.069653429412 Henry Cohn, 2026.
22 62 0.071702992549 Henry Cohn, 2026, needs more optimization.
22 63 0.076904418853 Henry Cohn, 2026, needs more optimization.
22 64 0.076919638871 Henry Cohn, 2026, needs more optimization.
22 65 0.076924075518 Henry Cohn, 2026, needs more optimization.
22 66 0.078243584883 Henry Cohn, 2026.
22 67 0.079295785727 Henry Cohn, 2026, needs more optimization.
22 68 0.080927905651 Henry Cohn, 2026.
22 69 0.083023397966 Henry Cohn, 2026, needs more optimization.
22 70 0.083309827283 Henry Cohn, 2025, needs more optimization.
22 71 0.083331871272 Henry Cohn, 2025, needs more optimization.
22 72 0.083333305430 Henry Cohn, 2026, needs more optimization.
22 73 0.083333332773 Henry Cohn, 2025, needs more optimization.
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 0.086876541302 Henry Cohn, 2026, needs more optimization.
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
22 114 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 0.117359909845 Henry Cohn, 2026, needs more optimization.
22 117 0.122810741614 Henry Cohn, 2026, needs more optimization.
22 118 0.126503630021 Henry Cohn, 2026, needs more optimization.
22 119 0.126740173198 Henry Cohn, 2026, needs more optimization.
22 120 0.131231549706 Henry Cohn, 2026, needs more optimization.
22 121 0.131782945737 Code with 119 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.
129⁢x−17
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 0.135518338109 Henry Cohn, 2026, needs more optimization.
22 143 0.137954008652 Henry Cohn, 2026, needs more optimization.
22 144 0.139626863133 Henry Cohn, 2026, needs more optimization.
22 164 0.142857142858 Code with 162 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.
7⁢x−1
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.
22 171 0.156572050095 Henry Cohn, 2026.
22 172 0.158334066585 Henry Cohn, 2026, needs more optimization.
22 173 0.159149626588 Henry Cohn, 2026, needs more optimization.
22 174 0.161546392760 Henry Cohn, 2026, needs more optimization.
22 200 0.161904761905 Code with 198 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.
105⁢x−17
22 201 0.161904761905 Henry Cohn, 2026.
105⁢x−17
22 202 0.161905113244 Henry Cohn, 2026, needs more optimization.
22 203 0.165619929270 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 0.178571428572 Henry Cohn, 2026.
28⁢x−5
22 277 0.185915286534 Henry Cohn, 2026, needs more optimization.
22 278 0.189303714773 Henry Cohn, 2026, needs more optimization.
22 279 0.191623958575 Henry Cohn, 2026, needs more optimization.
22 280 0.193245297054 Henry Cohn, 2026, needs more optimization.
22 281 0.194532873605 Henry Cohn, 2026, needs more optimization.
22 282 0.195731274034 Henry Cohn, 2026, needs more optimization.
22 283 0.196337923166 Henry Cohn, 2026, needs more optimization.
22 284 0.196353875686 Henry Cohn, 2026, needs more optimization.
22 286 0.196362023436 Henry Cohn, 2026, needs more optimization.
22 287 0.199274681324 Henry Cohn, 2026, needs more optimization.
22 338 0.2 Code with 336 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.
5⁢x−1
22 352 0.2 C. Ma, T. T. Zhaowei, 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 0.201777989818 Henry Cohn, 2026.
22 354 0.202842502589 Henry Cohn, 2026.
22 355 0.203727170152 Henry Cohn, 2026, needs more optimization.
22 356 0.204034967974 Henry Cohn, 2026, needs more optimization.
22 357 0.204058373987 Henry Cohn, 2026, needs more optimization.
22 358 0.204059482324 Henry Cohn, 2026, needs more optimization.
22 359 0.204490662487 Henry Cohn, 2026, needs more optimization.
22 374 0.204624019941 Henry Cohn, 2026.
22 375 0.205726050814 Henry Cohn, 2026, needs more optimization.
22 376 0.206395598586 Henry Cohn, 2026, needs more optimization.
22 377 0.206700698041 Henry Cohn, 2026, needs more optimization.
22 378 0.206884763860 Henry Cohn, 2026, needs more optimization.
22 379 0.207061454097 Henry Cohn, 2026, needs more optimization.
22 380 0.207123907254 Henry Cohn, 2026, needs more optimization.
22 381 0.207166825087 Henry Cohn, 2026, needs more optimization.
22 382 0.207174909140 Henry Cohn, 2026, needs more optimization.
22 383 0.207175678810 Henry Cohn, 2026, needs more optimization.
22 384 0.207175746632 Henry Cohn, 2026, needs more optimization.
22 385 0.207175811033 Henry Cohn, 2026, needs more optimization.
22 386 0.207175832407 Henry Cohn, 2026, needs more optimization.
22 387 0.207175868868 Henry Cohn, 2026, needs more optimization.
22 388 0.207175893427 Henry Cohn, 2026, needs more optimization.
22 389 0.207175920897 Henry Cohn, 2026, needs more optimization.
22 390 0.207176010720 Henry Cohn, 2026, needs more optimization.
22 391 0.208467526531 Henry Cohn, 2026, needs more optimization.
22 392 0.208828046949 Henry Cohn, 2026, needs more optimization.
22 393 0.209054532669 Henry Cohn, 2026, needs more optimization.
22 394 0.209110265315 Henry Cohn, 2026, needs more optimization.
22 395 0.209428697409 Henry Cohn, 2026, needs more optimization.
22 396 0.209529870810 Henry Cohn, 2026, needs more optimization.
22 397 0.209586779041 Henry Cohn, 2026, needs more optimization.
22 398 0.209592669846 Henry Cohn, 2026, needs more optimization.
22 399 0.209596205485 Henry Cohn, 2026, needs more optimization.
22 400 0.209598748765 Henry Cohn, 2026, needs more optimization.
22 401 0.209600685333 Henry Cohn, 2026, needs more optimization.
22 402 0.209617038024 Henry Cohn, 2026, needs more optimization.
22 403 0.209620291014 Henry Cohn, 2026, needs more optimization.
22 404 0.209689060599 Henry Cohn, 2026, needs more optimization.
22 405 0.209706921537 Henry Cohn, 2026, needs more optimization.
22 415 0.209711494422 Henry Cohn, 2026, needs more optimization.
22 416 0.209814770636 Henry Cohn, 2026, needs more optimization.
22 430 0.209817069797 Henry Cohn, 2026.
22 431 0.210993089892 Henry Cohn, 2026, needs more optimization.
22 432 0.211663343225 Henry Cohn, 2026, needs more optimization.
22 433 0.212039844741 Henry Cohn, 2026, needs more optimization.
22 436 0.212148697334 Henry Cohn, 2026, needs more optimization.
22 437 0.212406691088 Henry Cohn, 2026, needs more optimization.
22 442 0.212505214885 Henry Cohn, 2026, needs more optimization.
22 451 0.212653226480 Henry Cohn, 2026.
22 452 0.213200716356 Henry Cohn, 2026.
22⁢x2−1
22 485 0.229650347182 Henry Cohn, 2026, needs more optimization.
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
22 556 0.238095238096 Orthogonal union of 554 points in 21 dimensions and 2 points in 1 dimension.
21⁢x−5
22 557 0.238101323410 Henry Cohn, 2026, needs more optimization.
22 558 0.238110196701 Henry Cohn, 2026, needs more optimization.
22 559 0.238302628617 Henry Cohn, 2026, needs more optimization.
22 560 0.238532846948 Henry Cohn, 2026, needs more optimization.
22 561 0.240753896492 Henry Cohn, 2026, needs more optimization.
22 562 0.244022996896 Henry Cohn, 2026, needs more optimization.
22 563 0.246130755966 Henry Cohn, 2026, needs more optimization.
22 564 0.248017772588 Henry Cohn, 2026, needs more optimization.
22 565 0.249760715308 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 0.040044233015 Henry Cohn, 2025.
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 0.047343031571 Henry Cohn, 2026.
23 52 0.047477902076 Henry Cohn, 2026, needs more optimization.
23 53 0.047579301640 Henry Cohn, 2026, needs more optimization.
23 54 0.047608667748 Henry Cohn, 2026.
23 55 0.055365527542 Henry Cohn, 2026.
23 56 0.057275984127 Henry Cohn, 2025.
23 57 0.061654200859 Henry Cohn, 2026.
23 58 0.064488033264 Henry Cohn, 2026, needs more optimization.
23 59 0.066320743800 Henry Cohn, 2026, needs more optimization.
23 60 0.066383060142 Henry Cohn, 2026, needs more optimization.
23 61 0.066464177098 Henry Cohn, 2026, needs more optimization.
23 62 0.066565580257 Henry Cohn, 2026, needs more optimization.
23 63 0.067249405088 Henry Cohn, 2026.
23 64 0.069716146261 Henry Cohn, 2026.
23 65 0.073130743225 Henry Cohn, 2026.
23 66 0.075359392650 Henry Cohn, 2026, needs more optimization.
23 67 0.076883023373 Henry Cohn, 2026, needs more optimization.
23 68 0.076898363391 Henry Cohn, 2026, needs more optimization.
23 69 0.077605236851 Henry Cohn, 2026, needs more optimization.
23 70 0.077985696567 Henry Cohn, 2026, needs more optimization.
23 71 0.079522620309 Henry Cohn, 2026.
23 72 0.080064660878 Henry Cohn, 2026.
23 73 0.081989242399 Henry Cohn, 2026, needs more optimization.
23 74 0.083306336565 Henry Cohn, 2026, needs more optimization.
23 75 0.083319027780 Henry Cohn, 2026, needs more optimization.
23 76 0.083320662985 Henry Cohn, 2026, needs more optimization.
23 77 0.083331616679 Henry Cohn, 2026, needs more optimization.
23 79 0.083333145503 Henry Cohn, 2026, needs more optimization.
23 81 0.083333222004 Henry Cohn, 2025, needs more optimization.
23 82 0.083390061414 Henry Cohn, 2026, needs more optimization.
23 83 0.087272831288 Henry Cohn, 2026, needs more optimization.
23 84 0.089254407483 Henry Cohn, 2026, needs more optimization.
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 0.102490105249 Henry Cohn, 2026.
23 106 0.109392443214 Henry Cohn, 2026.
2175⁢x2+210⁢x−49
23 107 0.111111109507 Henry Cohn, 2026, needs more optimization.
23 108 0.111111109516 Henry Cohn, 2026, needs more optimization.
23 111 0.111111109526 Henry Cohn, 2026, needs more optimization.
23 113 0.111111109682 Henry Cohn, 2026, needs more optimization.
23 115 0.111111109683 Henry Cohn, 2026, needs more optimization.
23 116 0.111111109684 Henry Cohn, 2026, needs more optimization.
23 117 0.111112082220 Henry Cohn, 2026, needs more optimization.
23 118 0.111112859878 Henry Cohn, 2026, needs more optimization.
23 119 0.115910206738 Henry Cohn, 2026, needs more optimization.
23 120 0.119779726207 Henry Cohn, 2026, needs more optimization.
23 121 0.124520929503 Henry Cohn, 2026, needs more optimization.
23 122 0.124533874545 Henry Cohn, 2026, needs more optimization.
23 123 0.130495495607 Henry Cohn, 2026, needs more optimization.
23 129 0.131782945737 Orthogonal union of 127 points in 22 dimensions and 2 points in 1 dimension.
129⁢x−17
23 130 0.131785800008 Henry Cohn, 2026, needs more optimization.
23 131 0.132078638288 Henry Cohn, 2026, needs more optimization.
23 132 0.134322208050 Henry Cohn, 2026, needs more optimization.
23 133 0.134841856527 Henry Cohn, 2026, needs more optimization.
23 134 0.135040676076 Henry Cohn, 2026, needs more optimization.
23 138 0.135135135136 Code with 136 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.
37⁢x−5
23 147 0.135135135136 Henry Cohn, 2026.
37⁢x−5
23 148 0.135953880538 Henry Cohn, 2026, needs more optimization.
23 149 0.136622250498 Henry Cohn, 2026, needs more optimization.
23 150 0.136651108408 Henry Cohn, 2026, needs more optimization.
23 151 0.137558642798 Henry Cohn, 2026, needs more optimization.
23 152 0.138673551897 Henry Cohn, 2026, needs more optimization.
23 166 0.142857142858 Code with 164 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.
7⁢x−1
23 168 0.142857142858 Orthogonal union of 166 points in 22 dimensions and 2 points in 1 dimension.
7⁢x−1
23 169 0.142857630115 Henry Cohn, 2026, needs more optimization.
23 170 0.142857630117 Henry Cohn, 2026, needs more optimization.
23 171 0.145104451346 Henry Cohn, 2026, needs more optimization.
23 172 0.145383795944 Henry Cohn, 2026, needs more optimization.
23 173 0.145383795961 Henry Cohn, 2026, needs more optimization.
23 174 0.146719321122 Henry Cohn, 2026, needs more optimization.
23 175 0.150598541573 Henry Cohn, 2026, needs more optimization.
23 176 0.153589514739 Henry Cohn, 2026, needs more optimization.
23 177 0.154951422944 Henry Cohn, 2026, needs more optimization.
23 178 0.155965625722 Henry Cohn, 2026, needs more optimization.
23 179 0.156306715788 Henry Cohn, 2026, needs more optimization.
23 180 0.158995081041 Henry Cohn, 2026, needs more optimization.
23 181 0.159255831315 Henry Cohn, 2026, needs more optimization.
23 182 0.160920676460 Henry Cohn, 2026, needs more optimization.
23 183 0.161438801214 Henry Cohn, 2026, needs more optimization.
23 202 0.161904761905 Code with 200 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.
105⁢x−17
23 203 0.161904761905 Orthogonal union of 201 points in 22 dimensions and 2 points in 1 dimension.
105⁢x−17
23 204 0.161904891178 Henry Cohn, 2026, needs more optimization.
23 205 0.161904895839 Henry Cohn, 2026, needs more optimization.
23 206 0.161907076292 Henry Cohn, 2026, needs more optimization.
23 207 0.161918513785 Henry Cohn, 2026, needs more optimization.
23 208 0.161980093033 Henry Cohn, 2026, needs more optimization.
23 209 0.164065795415 Henry Cohn, 2026, needs more optimization.
23 210 0.165082538991 Henry Cohn, 2026, needs more optimization.
23 211 0.165539665073 Henry Cohn, 2026, needs more optimization.
23 212 0.166155202883 Henry Cohn, 2026, needs more optimization.
23 213 0.166489536644 Henry Cohn, 2026, needs more optimization.
23 214 0.166608408669 Henry Cohn, 2026, needs more optimization.
23 277 0.166666666667 Code with 275 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.
6⁢x−1
23 278 0.166666666667 Henry Cohn, 2026.
6⁢x−1
23 279 0.168164328992 Henry Cohn, 2026, needs more optimization.
23 280 0.174242914894 Henry Cohn, 2026, needs more optimization.
23 281 0.178777149366 Henry Cohn, 2026, needs more optimization.
23 282 0.181993543289 Henry Cohn, 2026, needs more optimization.
23 283 0.183338539035 Henry Cohn, 2026, needs more optimization.
23 284 0.185743853705 Henry Cohn, 2026, needs more optimization.
23 285 0.186060466484 Henry Cohn, 2026, needs more optimization.
23 286 0.187604757719 Henry Cohn, 2026, needs more optimization.
23 287 0.188082208684 Henry Cohn, 2026, needs more optimization.
23 288 0.188347374200 Henry Cohn, 2026, needs more optimization.
23 289 0.189235344160 Henry Cohn, 2026, needs more optimization.
23 290 0.189392050510 Henry Cohn, 2026, needs more optimization.
23 291 0.189516480384 Henry Cohn, 2026, needs more optimization.
23 292 0.189589864515 Henry Cohn, 2026, needs more optimization.
23 293 0.189638264775 Henry Cohn, 2026, needs more optimization.
23 295 0.189661025321 Henry Cohn, 2026, needs more optimization.
23 296 0.189661299225 Henry Cohn, 2026, needs more optimization.
23 297 0.189662242164 Henry Cohn, 2026, needs more optimization.
23 298 0.189662511958 Henry Cohn, 2026, needs more optimization.
23 299 0.189663020322 Henry Cohn, 2026, needs more optimization.
23 300 0.189663639793 Henry Cohn, 2026, needs more optimization.
23 301 0.190664050463 Henry Cohn, 2026, needs more optimization.
23 302 0.193078382785 Henry Cohn, 2026, needs more optimization.
23 303 0.194192104870 Henry Cohn, 2026, needs more optimization.
23 304 0.195465107888 Henry Cohn, 2026, needs more optimization.
23 305 0.196370917614 Henry Cohn, 2026, needs more optimization.
23 306 0.197504272254 Henry Cohn, 2026, needs more optimization.
23 307 0.198649442257 Henry Cohn, 2026, needs more optimization.
23 308 0.199124950939 Henry Cohn, 2026, needs more optimization.
23 309 0.199277707127 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, needs more optimization.
23 554 0.235338778816 Henry Cohn, 2026, needs more optimization.
23 558 0.238095238096 Orthogonal union of 554 points in 21 dimensions and 4 points in 2 dimensions.
21⁢x−5
23 559 0.238098914773 Henry Cohn, 2026, needs more optimization.
23 560 0.238105171544 Henry Cohn, 2026, needs more optimization.
23 561 0.238106130938 Henry Cohn, 2026, needs more optimization.
23 562 0.238108500629 Henry Cohn, 2026, needs more optimization.
23 563 0.238111233340 Henry Cohn, 2026, needs more optimization.
23 564 0.238247855833 Henry Cohn, 2026, needs more optimization.
23 565 0.238255251319 Henry Cohn, 2026, needs more optimization.
23 566 0.238261372018 Henry Cohn, 2026, needs more optimization.
23 567 0.238826646838 Henry Cohn, 2026, needs more optimization.
23 568 0.238831449043 Henry Cohn, 2026, needs more optimization.
23 569 0.238836593763 Henry Cohn, 2026, needs more optimization.
23 570 0.238842220496 Henry Cohn, 2026, needs more optimization.
23 571 0.238846721545 Henry Cohn, 2026, needs more optimization.
23 572 0.238853940584 Henry Cohn, 2026, needs more optimization.
23 573 0.239276064874 Henry Cohn, 2026, needs more optimization.
23 574 0.240097705609 Henry Cohn, 2026, needs more optimization.
23 575 0.241239311228 Henry Cohn, 2026, needs more optimization.
23 576 0.241403561317 Henry Cohn, 2026, needs more optimization.
23 577 0.241924126984 Henry Cohn, 2026, needs more optimization.
23 578 0.243085304035 Henry Cohn, 2026, needs more optimization.
23 579 0.243223132882 Henry Cohn, 2026, needs more optimization.
23 580 0.243673833568 Henry Cohn, 2026, needs more optimization.
23 581 0.243713664365 Henry Cohn, 2026, needs more optimization.
23 582 0.244156995513 Henry Cohn, 2026, needs more optimization.
23 583 0.244540691485 Henry Cohn, 2026, needs more optimization.
23 584 0.245036400095 Henry Cohn, 2026, needs more optimization.
23 585 0.245360699563 Henry Cohn, 2026, needs more optimization.
23 586 0.245661100558 Henry Cohn, 2026, needs more optimization.
23 587 0.245918062541 Henry Cohn, 2026, needs more optimization.
23 588 0.245957494443 Henry Cohn, 2026, needs more optimization.
23 589 0.246208071956 Henry Cohn, 2026, needs more optimization.
23 590 0.246225628331 Henry Cohn, 2026, needs more optimization.
23 591 0.246496289172 Henry Cohn, 2026, needs more optimization.
23 592 0.246519224250 Henry Cohn, 2026, needs more optimization.
23 593 0.247123213416 Henry Cohn, 2026, needs more optimization.
23 594 0.247172293753 Henry Cohn, 2026, needs more optimization.
23 595 0.247331046836 Henry Cohn, 2026, needs more optimization.
23 596 0.247682066189 Henry Cohn, 2026, needs more optimization.
23 597 0.247989700505 Henry Cohn, 2026, needs more optimization.
23 598 0.248493617703 Henry Cohn, 2026, needs more optimization.
23 599 0.248765279579 Henry Cohn, 2026, needs more optimization.
23 600 0.248917683384 Henry Cohn, 2026, needs more optimization.
23 601 0.249315513847 Henry Cohn, 2026, needs more optimization.
23 602 0.249509978722 Henry Cohn, 2026, needs more optimization.
23 603 0.249662413773 Henry Cohn, 2026, needs more optimization.
23 604 0.249702318137 Henry Cohn, 2026, needs more optimization.
23 605 0.249861852905 Henry Cohn, 2026, needs more optimization.
23 894 0.25 Henry Cohn, 2026.
4⁢x−1
23 895 0.250019747966 Henry Cohn, 2026, needs more optimization.
23 896 0.253324420058 Henry Cohn, 2026, needs more optimization.
23 897 0.254330754039 Henry Cohn, 2026, needs more optimization.
23 898 0.255386139721 Henry Cohn, 2026, needs more optimization.
23 899 0.256379365862 Henry Cohn, 2026, needs more optimization.
23 900 0.256477369157 Henry Cohn, 2026, needs more optimization.
23 901 0.256477369165 Henry Cohn, 2026, needs more optimization.
23 902 0.256937737959 Henry Cohn, 2026, needs more optimization.
23 903 0.258022632455 Henry Cohn, 2026, needs more optimization.
23 904 0.258533431706 Henry Cohn, 2026, needs more optimization.
23 905 0.259257421309 Henry Cohn, 2026, needs more optimization.
23 906 0.259801612695 Henry Cohn, 2026, needs more optimization.
23 907 0.261490148316 Henry Cohn, 2026, needs more optimization.
23 908 0.264872864541 Henry Cohn, 2026, needs more optimization.
23 909 0.265195551801 Henry Cohn, 2026, needs more optimization.
23 910 0.265394537389 Henry Cohn, 2026, needs more optimization.
23 911 0.266022187609 Henry Cohn, 2026, needs more optimization.
23 912 0.267159396261 Henry Cohn, 2026, needs more optimization.
23 913 0.268041359052 Henry Cohn, 2026, needs more optimization.
23 914 0.268700573794 Henry Cohn, 2026, needs more optimization.
23 915 0.268798988809 Henry Cohn, 2026, needs more optimization.
23 916 0.269621600268 Henry Cohn, 2026, needs more optimization.
23 917 0.270163061391 Henry Cohn, 2026, needs more optimization.
23 918 0.270702735328 Henry Cohn, 2026, needs more optimization.
23 919 0.271150690466 Henry Cohn, 2026, needs more optimization.
23 920 0.271442893409 Henry Cohn, 2026, needs more optimization.
23 921 0.272127909873 Henry Cohn, 2026, needs more optimization.
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 51 0.045537713846 Henry Cohn, 2025.
24 52 0.046377212908 Henry Cohn, 2025.
24 53 0.046712202497 Henry Cohn, 2025.
24 54 0.047284571428 Henry Cohn, 2025.
24 55 0.047381601960 Henry Cohn, 2024.
24 56 0.047562533008 Henry Cohn, 2026.
24 57 0.053295295011 Henry Cohn, 2026.
24 58 0.054361642549 Henry Cohn, 2026.
24 59 0.057903810057 Henry Cohn, 2026.
24 60 0.061561217808 Henry Cohn, 2026.
24 61 0.064589747421 Henry Cohn, 2026.
24 62 0.065063362366 Henry Cohn, 2026, needs more optimization.
24 63 0.065495640003 Henry Cohn, 2026, needs more optimization.
24 64 0.065897887068 Henry Cohn, 2026, needs more optimization.
24 65 0.066587690560 Henry Cohn, 2026, needs more optimization.
24 66 0.068180518550 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 0.076553864377 Henry Cohn, 2026, needs more optimization.
24 71 0.076921818091 Henry Cohn, 2026, needs more optimization.
24 72 0.077412163760 Henry Cohn, 2026, needs more optimization.
24 73 0.077740721430 Henry Cohn, 2026, needs more optimization.
24 74 0.077908661685 Henry Cohn, 2026, needs more optimization.
24 75 0.078509013032 Henry Cohn, 2026, needs more optimization.
24 76 0.078850061999 Henry Cohn, 2026, needs more optimization.
24 77 0.081784372495 Henry Cohn, 2026, needs more optimization.
24 78 0.082773698533 Henry Cohn, 2026, needs more optimization.
24 79 0.083238813146 Henry Cohn, 2026, needs more optimization.
24 80 0.083247399360 Henry Cohn, 2026, needs more optimization.
24 81 0.083292973669 Henry Cohn, 2026, needs more optimization.
24 83 0.083316966042 Henry Cohn, 2026, needs more optimization.
24 84 0.083328254794 Henry Cohn, 2026, needs more optimization.
24 85 0.083328479334 Henry Cohn, 2026, needs more optimization.
24 86 0.086244670489 Henry Cohn, 2026, needs more optimization.
24 87 0.088144387054 Henry Cohn, 2026, needs more optimization.
24 88 0.089772580970 Henry Cohn, 2026, needs more optimization.
24 89 0.090232138469 Henry Cohn, 2026, needs more optimization.
24 90 0.090581470507 Henry Cohn, 2026, needs more optimization.
24 91 0.090714014484 Henry Cohn, 2026, needs more optimization.
24 92 0.090834706154 Henry Cohn, 2026, needs more optimization.
24 93 0.090893763337 Henry Cohn, 2026, needs more optimization.
24 97 0.090909090540 Henry Cohn, 2026, needs more optimization.
24 98 0.090909090558 Henry Cohn, 2026, needs more optimization.
24 103 0.090909090571 Henry Cohn, 2026, needs more optimization.
24 104 0.090909090572 Henry Cohn, 2026, needs more optimization.
24 105 0.091497171182 Henry Cohn, 2026, needs more optimization.
24 106 0.095233377765 Henry Cohn, 2026, needs more optimization.
24 107 0.100955645257 Henry Cohn, 2026, needs more optimization.
24 108 0.105659325055 Henry Cohn, 2026, needs more optimization.
24 111 0.110692488375 Henry Cohn, 2026, needs more optimization.
24 112 0.110697293114 Henry Cohn, 2026, needs more optimization.
24 113 0.110871826082 Henry Cohn, 2026, needs more optimization.
24 118 0.111099565428 Henry Cohn, 2025, needs more optimization.
24 121 0.111111111112 Henry Cohn, 2026.
9⁢x−1
24 122 0.112099637335 Henry Cohn, 2026, needs more optimization.
24 123 0.116166510241 Henry Cohn, 2026, needs more optimization.
24 124 0.117892571871 Henry Cohn, 2026, needs more optimization.
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 0.131755624893 Henry Cohn, 2026, needs more optimization.
24 128 0.131763931510 Henry Cohn, 2026, needs more optimization.
24 130 0.131766032707 Henry Cohn, 2026, needs more optimization.
24 131 0.131776134525 Henry Cohn, 2026, needs more optimization.
24 132 0.131778295980 Henry Cohn, 2026, needs more optimization.
24 133 0.131782548732 Henry Cohn, 2026, needs more optimization.
24 134 0.131788269440 Henry Cohn, 2026, needs more optimization.
24 135 0.131962807032 Henry Cohn, 2026, needs more optimization.
24 136 0.132224889582 Henry Cohn, 2026, needs more optimization.
24 137 0.132939815020 Henry Cohn, 2026, needs more optimization.
24 138 0.133281043156 Henry Cohn, 2026, needs more optimization.
24 139 0.134285843047 Henry Cohn, 2026, needs more optimization.
24 140 0.134459277864 Henry Cohn, 2026, needs more optimization.
24 141 0.134881918655 Henry Cohn, 2026, needs more optimization.
24 142 0.134995739160 Henry Cohn, 2026, needs more optimization.
24 143 0.135116047156 Henry Cohn, 2026, needs more optimization.
24 149 0.135135135136 Orthogonal union of 147 points in 23 dimensions and 2 points in 1 dimension.
37⁢x−5
24 152 0.135135665751 Henry Cohn, 2026, needs more optimization.
24 153 0.136298379434 Henry Cohn, 2026, needs more optimization.
24 154 0.136351327039 Henry Cohn, 2026, needs more optimization.
24 155 0.137145908319 Henry Cohn, 2026, needs more optimization.
24 156 0.139196443477 Henry Cohn, 2026, needs more optimization.
24 157 0.141216020218 Henry Cohn, 2026, needs more optimization.
24 158 0.142857107285 Henry Cohn, 2026, needs more optimization.
24 159 0.142857110879 Henry Cohn, 2026, needs more optimization.
24 161 0.142857110956 Henry Cohn, 2026, needs more optimization.
24 162 0.142857111045 Henry Cohn, 2026, needs more optimization.
24 164 0.142857116293 Henry Cohn, 2026, needs more optimization.
24 166 0.142857121940 Henry Cohn, 2026, needs more optimization.
24 167 0.142857122001 Henry Cohn, 2026, needs more optimization.
24 168 0.142857122080 Henry Cohn, 2026, needs more optimization.
24 170 0.142857138920 Henry Cohn, 2026, needs more optimization.
24 171 0.142857139020 Henry Cohn, 2026, needs more optimization.
24 172 0.142857140416 Henry Cohn, 2026, needs more optimization.
24 173 0.142857171592 Henry Cohn, 2026, needs more optimization.
24 174 0.142857172713 Henry Cohn, 2026, needs more optimization.
24 175 0.143482328706 Henry Cohn, 2026, needs more optimization.
24 176 0.145885991978 Henry Cohn, 2026, needs more optimization.
24 177 0.145886398489 Henry Cohn, 2026, needs more optimization.
24 178 0.145890658180 Henry Cohn, 2026, needs more optimization.
24 179 0.146230593337 Henry Cohn, 2026, needs more optimization.
24 180 0.147309662689 Henry Cohn, 2026, needs more optimization.
24 183 0.148206023675 Henry Cohn, 2026, needs more optimization.
24 184 0.148269609644 Henry Cohn, 2026, needs more optimization.
24 186 0.148728163585 Henry Cohn, 2026, needs more optimization.
24 187 0.152169650288 Henry Cohn, 2026, needs more optimization.
24 188 0.152169650289 Henry Cohn, 2026, needs more optimization.
24 189 0.152169650291 Henry Cohn, 2026, needs more optimization.
24 190 0.153303132596 Henry Cohn, 2026, needs more optimization.
24 192 0.155160586022 Henry Cohn, 2026, needs more optimization.
24 193 0.155185814810 Henry Cohn, 2026, needs more optimization.
24 194 0.157513094037 Henry Cohn, 2026, needs more optimization.
24 195 0.157764421838 Henry Cohn, 2026, needs more optimization.
24 196 0.159099752936 Henry Cohn, 2026, needs more optimization.
24 197 0.160037463864 Henry Cohn, 2026, needs more optimization.
24 198 0.160279683291 Henry Cohn, 2026, needs more optimization.
24 199 0.161380243286 Henry Cohn, 2026, needs more optimization.
24 200 0.161514737498 Henry Cohn, 2026, needs more optimization.
24 204 0.161904761905 Code with 202 points in 23 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.
105⁢x−17
24 205 0.161904761905 Orthogonal union of 201 points in 22 dimensions and 4 points in 2 dimensions.
105⁢x−17
24 206 0.161904779055 Henry Cohn, 2026, needs more optimization.
24 207 0.161904779209 Henry Cohn, 2026, needs more optimization.
24 208 0.161904789474 Henry Cohn, 2026, needs more optimization.
24 209 0.161904789522 Henry Cohn, 2026, needs more optimization.
24 210 0.161904789534 Henry Cohn, 2026, needs more optimization.
24 212 0.161904799606 Henry Cohn, 2026, needs more optimization.
24 213 0.161905360980 Henry Cohn, 2026, needs more optimization.
24 214 0.162018120214 Henry Cohn, 2026, needs more optimization.
24 215 0.162171541091 Henry Cohn, 2026, needs more optimization.
24 216 0.163088916811 Henry Cohn, 2026, needs more optimization.
24 217 0.163193767014 Henry Cohn, 2026, needs more optimization.
24 218 0.164187644333 Henry Cohn, 2026, needs more optimization.
24 219 0.164929218422 Henry Cohn, 2026, needs more optimization.
24 220 0.165061983565 Henry Cohn, 2026, needs more optimization.
24 221 0.165673433485 Henry Cohn, 2026, needs more optimization.
24 222 0.165893897819 Henry Cohn, 2026, needs more optimization.
24 223 0.166234624025 Henry Cohn, 2026, needs more optimization.
24 224 0.166477616667 Henry Cohn, 2026, needs more optimization.
24 279 0.166666666667 Code with 277 points in 23 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.
6⁢x−1
24 280 0.166666666667 Orthogonal union of 278 points in 23 dimensions and 2 points in 1 dimension.
6⁢x−1
24 281 0.166666872447 Henry Cohn, 2026, needs more optimization.
24 283 0.166666872448 Henry Cohn, 2026, needs more optimization.
24 284 0.166846881957 Henry Cohn, 2026, needs more optimization.
24 285 0.170025287477 Henry Cohn, 2026, needs more optimization.
24 286 0.171800144117 Henry Cohn, 2026, needs more optimization.
24 287 0.174969900017 Henry Cohn, 2026, needs more optimization.
24 288 0.177029932237 Henry Cohn, 2026, needs more optimization.
24 289 0.179250714501 Henry Cohn, 2026, needs more optimization.
24 290 0.181707605770 Henry Cohn, 2026, needs more optimization.
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
24 313 0.181818181819 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.
11⁢x−2
24 314 0.182436602532 Henry Cohn, 2026, needs more optimization.
24 315 0.186981580947 Henry Cohn, 2026, needs more optimization.
24 316 0.190449110278 Henry Cohn, 2026, needs more optimization.
24 317 0.191173301591 Henry Cohn, 2026, needs more optimization.
24 318 0.192060111920 Henry Cohn, 2026, needs more optimization.
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
24 554 0.2 Code with 552 points in 23 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.
5⁢x−1
24 555 0.200456528216 Henry Cohn, 2026.
39⁢x2+72⁢x−16
24 556 0.201245464183 Henry Cohn, 2026, needs more optimization.
24 557 0.206713561904 Henry Cohn, 2026, needs more optimization.
24 558 0.213706030169 Henry Cohn, 2026, needs more optimization.
24 559 0.218817495179 Henry Cohn, 2026, needs more optimization.
24 560 0.219742131208 Henry Cohn, 2026, needs more optimization.
24 561 0.222365750708 Henry Cohn, 2026, needs more optimization.
24 562 0.222685265655 Henry Cohn, 2026, needs more optimization.
24 563 0.224134781608 Henry Cohn, 2026, needs more optimization.
24 564 0.225347311534 Henry Cohn, 2026, needs more optimization.
24 565 0.226575259322 Henry Cohn, 2026, needs more optimization.
24 566 0.228203443091 Henry Cohn, 2026, needs more optimization.
24 567 0.229118520879 Henry Cohn, 2026, needs more optimization.
24 568 0.230516007174 Henry Cohn, 2026, needs more optimization.
24 569 0.231660604844 Henry Cohn, 2026, needs more optimization.
24 570 0.231846864054 Henry Cohn, 2026, needs more optimization.
24 571 0.232177861267 Henry Cohn, 2026, needs more optimization.
24 572 0.232383237813 Henry Cohn, 2026, needs more optimization.
24 573 0.233041758650 Henry Cohn, 2026, needs more optimization.
24 574 0.233698495987 Henry Cohn, 2026, needs more optimization.
24 579 0.233711797819 Henry Cohn, 2026, needs more optimization.
24 580 0.233813469551 Henry Cohn, 2026, needs more optimization.
24 581 0.233832039297 Henry Cohn, 2026, needs more optimization.
24 582 0.234787998721 Henry Cohn, 2026, needs more optimization.
24 583 0.235096007134 Henry Cohn, 2026, needs more optimization.
24 584 0.236857112377 Henry Cohn, 2026, needs more optimization.
24 585 0.237288754428 Henry Cohn, 2026, needs more optimization.
24 586 0.237635351845 Henry Cohn, 2026, needs more optimization.
24 587 0.238868960053 Henry Cohn, 2026, needs more optimization.
24 588 0.238876656813 Henry Cohn, 2026, needs more optimization.
24 589 0.238889807660 Henry Cohn, 2026, needs more optimization.
24 590 0.238898530562 Henry Cohn, 2026, needs more optimization.
24 591 0.238909293845 Henry Cohn, 2026, needs more optimization.
24 592 0.238937036333 Henry Cohn, 2026, needs more optimization.
24 593 0.238973644225 Henry Cohn, 2026, needs more optimization.
24 594 0.239055636414 Henry Cohn, 2026, needs more optimization.
24 595 0.240324827971 Henry Cohn, 2026, needs more optimization.
24 596 0.240460298952 Henry Cohn, 2026, needs more optimization.
24 597 0.240515631396 Henry Cohn, 2026, needs more optimization.
24 598 0.241011656021 Henry Cohn, 2026, needs more optimization.
24 599 0.241387707917 Henry Cohn, 2026, needs more optimization.
24 600 0.241552592125 Henry Cohn, 2026, needs more optimization.
24 601 0.241794859923 Henry Cohn, 2026, needs more optimization.
24 602 0.241798746547 Henry Cohn, 2026, needs more optimization.
24 603 0.242265363447 Henry Cohn, 2026, needs more optimization.
24 604 0.242420148960 Henry Cohn, 2026, needs more optimization.
24 605 0.242633581963 Henry Cohn, 2026, needs more optimization.
24 606 0.242851843413 Henry Cohn, 2026, needs more optimization.
24 607 0.242899044286 Henry Cohn, 2026, needs more optimization.
24 608 0.243853574176 Henry Cohn, 2026, needs more optimization.
24 609 0.243970980862 Henry Cohn, 2026, needs more optimization.
24 610 0.244152007667 Henry Cohn, 2026, needs more optimization.
24 611 0.244240299996 Henry Cohn, 2026, needs more optimization.
24 612 0.244594169706 Henry Cohn, 2026, needs more optimization.
24 613 0.245299454356 Henry Cohn, 2026, needs more optimization.
24 614 0.245696334654 Henry Cohn, 2026, needs more optimization.
24 615 0.245756697296 Henry Cohn, 2026, needs more optimization.
24 616 0.246284298819 Henry Cohn, 2026, needs more optimization.
24 617 0.246820491178 Henry Cohn, 2026, needs more optimization.
24 618 0.247170832306 Henry Cohn, 2026, needs more optimization.
24 619 0.247551339200 Henry Cohn, 2026, needs more optimization.
24 620 0.247712176412 Henry Cohn, 2026, needs more optimization.
24 621 0.247789146528 Henry Cohn, 2026, needs more optimization.
24 622 0.248215896246 Henry Cohn, 2026, needs more optimization.
24 623 0.248450861061 Henry Cohn, 2026, needs more optimization.
24 624 0.248943396122 Henry Cohn, 2026, needs more optimization.
24 625 0.249118270499 Henry Cohn, 2026, needs more optimization.
24 626 0.249520801231 Henry Cohn, 2026, needs more optimization.
24 627 0.249579622490 Henry Cohn, 2026, needs more optimization.
24 628 0.249720222859 Henry Cohn, 2026, needs more optimization.
24 629 0.249855888259 Henry Cohn, 2026, needs more optimization.
24 896 0.25 Orthogonal union of 894 points in 23 dimensions and 2 points in 1 dimension.
4⁢x−1
24 897 0.250004135130 Henry Cohn, 2026, needs more optimization.
24 898 0.250094148933 Henry Cohn, 2026, needs more optimization.
24 899 0.250124709048 Henry Cohn, 2026, needs more optimization.
24 900 0.250191934607 Henry Cohn, 2026, needs more optimization.
24 901 0.250233891685 Henry Cohn, 2026, needs more optimization.
24 907 0.250350464650 Henry Cohn, 2026, needs more optimization.
24 908 0.251100403960 Henry Cohn, 2026, needs more optimization.
24 909 0.251329410275 Henry Cohn, 2026, needs more optimization.
24 910 0.251774190944 Henry Cohn, 2026, needs more optimization.
24 911 0.254953892213 Henry Cohn, 2026, needs more optimization.
24 913 0.255993164119 Henry Cohn, 2026, needs more optimization.
24 914 0.256279611280 Henry Cohn, 2026, needs more optimization.
24 915 0.256480397970 Henry Cohn, 2026, needs more optimization.
24 916 0.256485749872 Henry Cohn, 2026, needs more optimization.
24 917 0.256500420505 Henry Cohn, 2026, needs more optimization.
24 918 0.256500504024 Henry Cohn, 2026, needs more optimization.
24 919 0.257042262607 Henry Cohn, 2026, needs more optimization.
24 920 0.257258959211 Henry Cohn, 2026, needs more optimization.
24 921 0.257647223235 Henry Cohn, 2026, needs more optimization.
24 922 0.258331565795 Henry Cohn, 2026, needs more optimization.
24 923 0.258845102242 Henry Cohn, 2026, needs more optimization.
24 924 0.259386398151 Henry Cohn, 2026, needs more optimization.
24 925 0.259389097021 Henry Cohn, 2026, needs more optimization.
24 926 0.261316425435 Henry Cohn, 2026, needs more optimization.
24 927 0.262284839164 Henry Cohn, 2026, needs more optimization.
24 928 0.262665149197 Henry Cohn, 2026, needs more optimization.
24 929 0.263688636071 Henry Cohn, 2026, needs more optimization.
24 930 0.264034101854 Henry Cohn, 2026, needs more optimization.
24 931 0.264487683503 Henry Cohn, 2026, needs more optimization.
24 932 0.265252665497 Henry Cohn, 2026, needs more optimization.
24 933 0.265480520326 Henry Cohn, 2026, needs more optimization.
24 934 0.266528952244 Henry Cohn, 2026, needs more optimization.
24 935 0.266837907700 Henry Cohn, 2026, needs more optimization.
24 936 0.267161089299 Henry Cohn, 2026, needs more optimization.
24 937 0.267583084491 Henry Cohn, 2026, needs more optimization.
24 938 0.268164885599 Henry Cohn, 2026, needs more optimization.
24 939 0.268376684870 Henry Cohn, 2026, needs more optimization.
24 940 0.268633857418 Henry Cohn, 2026, needs more optimization.
24 942 0.269146323421 Henry Cohn, 2026, needs more optimization.
24 943 0.270094285944 Henry Cohn, 2026, needs more optimization.
24 944 0.270940784569 Henry Cohn, 2026, needs more optimization.
24 945 0.270952941013 Henry Cohn, 2026, needs more optimization.
24 946 0.271391028710 Henry Cohn, 2026, needs more optimization.
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 0.037068271283 Henry Cohn, 2025.
25 55 0.04 Henry Cohn, 2026.
25⁢x−1
25 56 0.046433703861 Henry Cohn, 2025, needs more optimization.
25 57 0.046836760434 Henry Cohn, 2026, needs more optimization.
25 58 0.046863920964 Henry Cohn, 2025.
25 59 0.051394584232 Henry Cohn, 2024.
25 60 0.052966665528 Henry Cohn, 2026.
25 61 0.056064008005 Henry Cohn, 2026.
25 62 0.060613957797 Henry Cohn, 2026.
25 63 0.062392555280 Henry Cohn, 2026.
25 64 0.064223832775 Henry Cohn, 2026.
25 65 0.065052412040 Henry Cohn, 2026, needs more optimization.
25 66 0.065052412054 Henry Cohn, 2026, needs more optimization.
25 67 0.066213049323 Henry Cohn, 2026, needs more optimization.
25 68 0.066469737270 Henry Cohn, 2026, needs more optimization.
25 69 0.068627707329 Henry Cohn, 2026.
25 70 0.071055411990 Henry Cohn, 2026.
25 71 0.071825216142 Henry Cohn, 2026, needs more optimization.
25 72 0.073341673415 Henry Cohn, 2026, needs more optimization.
25 73 0.076172581591 Henry Cohn, 2026, needs more optimization.
25 74 0.076833417592 Henry Cohn, 2026, needs more optimization.
25 76 0.076923161009 Henry Cohn, 2026, needs more optimization.
25 77 0.077469943047 Henry Cohn, 2026, needs more optimization.
25 78 0.077920644306 Henry Cohn, 2026, needs more optimization.
25 79 0.078551973932 Henry Cohn, 2026, needs more optimization.
25 80 0.080839832428 Henry Cohn, 2026, needs more optimization.
25 81 0.082215615138 Henry Cohn, 2026, needs more optimization.
25 82 0.082619761116 Henry Cohn, 2026, needs more optimization.
25 83 0.082978456269 Henry Cohn, 2026, needs more optimization.
25 85 0.083095965811 Henry Cohn, 2026, needs more optimization.
25 86 0.083271833347 Henry Cohn, 2026, needs more optimization.
25 87 0.083304914428 Henry Cohn, 2026, needs more optimization.
25 88 0.083317142846 Henry Cohn, 2026, needs more optimization.
25 89 0.085174940070 Henry Cohn, 2026, needs more optimization.
25 90 0.087169375561 Henry Cohn, 2026, needs more optimization.
25 91 0.087278836679 Henry Cohn, 2026, needs more optimization.
25 92 0.088771794892 Henry Cohn, 2026, needs more optimization.
25 93 0.089638353276 Henry Cohn, 2026, needs more optimization.
25 94 0.089925041041 Henry Cohn, 2026, needs more optimization.
25 95 0.090471346532 Henry Cohn, 2026, needs more optimization.
25 96 0.090646506664 Henry Cohn, 2026, needs more optimization.
25 97 0.090830592836 Henry Cohn, 2026, needs more optimization.
25 98 0.090837311876 Henry Cohn, 2026, needs more optimization.
25 99 0.090896960218 Henry Cohn, 2026, needs more optimization.
25 100 0.090907038701 Henry Cohn, 2026, needs more optimization.
25 101 0.090908872557 Henry Cohn, 2026, needs more optimization.
25 105 0.090909090571 Orthogonal union of 103 points in 24 dimensions and 2 points in 1 dimension.
25 106 0.090909090572 Orthogonal union of 104 points in 24 dimensions and 2 points in 1 dimension.
25 107 0.090909472483 Henry Cohn, 2026, needs more optimization.
25 108 0.090911537399 Henry Cohn, 2026, needs more optimization.
25 109 0.095542644965 Henry Cohn, 2026, needs more optimization.
25 110 0.099775964507 Henry Cohn, 2026, needs more optimization.
25 111 0.102646986048 Henry Cohn, 2026, needs more optimization.
25 117 0.105319726475 Henry Cohn, 2026.
375⁢x2−30⁢x−1
25 118 0.107225148391 Henry Cohn, 2026, needs more optimization.
25 119 0.108645790672 Henry Cohn, 2026, needs more optimization.
25 120 0.108674571615 Henry Cohn, 2026, needs more optimization.
25 121 0.109297318488 Henry Cohn, 2026, needs more optimization.
25 122 0.109493478737 Henry Cohn, 2026, needs more optimization.
25 123 0.110138635375 Henry Cohn, 2026, needs more optimization.
25 124 0.111035245987 Henry Cohn, 2026, needs more optimization.
25 125 0.111109898207 Henry Cohn, 2026, needs more optimization.
25 126 0.111126173005 Henry Cohn, 2026, needs more optimization.
25 127 0.111143895763 Henry Cohn, 2026, needs more optimization.
25 128 0.111341725336 Henry Cohn, 2026, needs more optimization.
25 129 0.117080391727 Henry Cohn, 2026, needs more optimization.
25 130 0.119943710480 Henry Cohn, 2026, needs more optimization.
25 131 0.121764571067 Henry Cohn, 2026, needs more optimization.
25 132 0.123583659378 Henry Cohn, 2026, needs more optimization.
25 133 0.124981451554 Henry Cohn, 2026, needs more optimization.
25 134 0.126246752801 Henry Cohn, 2026, needs more optimization.
25 135 0.128192665800 Henry Cohn, 2026, needs more optimization.
25 136 0.129707611777 Henry Cohn, 2026, needs more optimization.
25 137 0.131717020497 Henry Cohn, 2026, needs more optimization.
25 138 0.131741336292 Henry Cohn, 2026, needs more optimization.
25 139 0.131775618826 Henry Cohn, 2026, needs more optimization.
25 140 0.131785391324 Henry Cohn, 2026, needs more optimization.
25 141 0.131844371314 Henry Cohn, 2026, needs more optimization.
25 142 0.132270226027 Henry Cohn, 2026, needs more optimization.
25 143 0.132846208972 Henry Cohn, 2026, needs more optimization.
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 0.135174272998 Henry Cohn, 2026, needs more optimization.
25 158 0.136963466857 Henry Cohn, 2026, needs more optimization.
25 159 0.138087374388 Henry Cohn, 2026, needs more optimization.
25 160 0.139897741706 Henry Cohn, 2026, needs more optimization.
25 161 0.141385131138 Henry Cohn, 2026, needs more optimization.
25 162 0.142809843831 Henry Cohn, 2026, needs more optimization.
25 163 0.142823633197 Henry Cohn, 2026, needs more optimization.
25 164 0.142834850377 Henry Cohn, 2026, needs more optimization.
25 165 0.142839570511 Henry Cohn, 2026, needs more optimization.
25 167 0.142841302594 Henry Cohn, 2026, needs more optimization.
25 168 0.142847398244 Henry Cohn, 2026, needs more optimization.
25 171 0.142851851762 Henry Cohn, 2026, needs more optimization.
25 172 0.142852511919 Henry Cohn, 2026, needs more optimization.
25 176 0.142856692745 Henry Cohn, 2026, needs more optimization.
25 177 0.142861192277 Henry Cohn, 2026, needs more optimization.
25 178 0.142890216404 Henry Cohn, 2026, needs more optimization.
25 179 0.142938019521 Henry Cohn, 2026, needs more optimization.
25 180 0.143255116342 Henry Cohn, 2026, needs more optimization.
25 181 0.144736697893 Henry Cohn, 2026, needs more optimization.
25 182 0.144743776981 Henry Cohn, 2026, needs more optimization.
25 183 0.145949206443 Henry Cohn, 2026, needs more optimization.
25 184 0.146143993847 Henry Cohn, 2026, needs more optimization.
25 185 0.146149281242 Henry Cohn, 2026, needs more optimization.
25 186 0.146184366377 Henry Cohn, 2026, needs more optimization.
25 187 0.146213649568 Henry Cohn, 2026, needs more optimization.
25 188 0.147352519514 Henry Cohn, 2026, needs more optimization.
25 192 0.147683896851 Henry Cohn, 2026, needs more optimization.
25 193 0.150458048278 Henry Cohn, 2026, needs more optimization.
25 194 0.151356044416 Henry Cohn, 2026, needs more optimization.
25 195 0.152366584956 Henry Cohn, 2026, needs more optimization.
25 199 0.152733486073 Henry Cohn, 2026, needs more optimization.
25 200 0.153212008192 Henry Cohn, 2026, needs more optimization.
25 201 0.153228069683 Henry Cohn, 2026, needs more optimization.
25 202 0.154655790862 Henry Cohn, 2026, needs more optimization.
25 205 0.155366439335 Henry Cohn, 2026, needs more optimization.
25 208 0.155400216853 Henry Cohn, 2026, needs more optimization.
25 209 0.156577660317 Henry Cohn, 2026, needs more optimization.
25 210 0.157317398557 Henry Cohn, 2026, needs more optimization.
25 211 0.158764202055 Henry Cohn, 2026, needs more optimization.
25 212 0.158786159189 Henry Cohn, 2026, needs more optimization.
25 215 0.159273026306 Henry Cohn, 2026, needs more optimization.
25 216 0.159814926393 Henry Cohn, 2026, needs more optimization.
25 217 0.159873576517 Henry Cohn, 2026, needs more optimization.
25 219 0.161394718026 Henry Cohn, 2026, needs more optimization.
25 220 0.161526762042 Henry Cohn, 2026, needs more optimization.
25 221 0.161932045516 Henry Cohn, 2026, needs more optimization.
25 222 0.161944653725 Henry Cohn, 2026, needs more optimization.
25 223 0.162163211011 Henry Cohn, 2026, needs more optimization.
25 224 0.162666472659 Henry Cohn, 2026, needs more optimization.
25 225 0.162918191908 Henry Cohn, 2026, needs more optimization.
25 226 0.163624566929 Henry Cohn, 2026, needs more optimization.
25 227 0.164353762092 Henry Cohn, 2026, needs more optimization.
25 228 0.164677610429 Henry Cohn, 2026, needs more optimization.
25 229 0.165177715949 Henry Cohn, 2026, needs more optimization.
25 230 0.165475113579 Henry Cohn, 2026, needs more optimization.
25 231 0.165899237682 Henry Cohn, 2026, needs more optimization.
25 232 0.166051474041 Henry Cohn, 2026, needs more optimization.
25 233 0.166256640398 Henry Cohn, 2026, needs more optimization.
25 234 0.166423206853 Henry Cohn, 2026, needs more optimization.
25 235 0.166521982006 Henry Cohn, 2026, needs more optimization.
25 236 0.166576832889 Henry Cohn, 2026, needs more optimization.
25 238 0.166599122975 Henry Cohn, 2026, needs more optimization.
25 282 0.166666666667 Orthogonal union of 278 points in 23 dimensions and 4 points in 2 dimensions.
6⁢x−1
25 285 0.166666872445 Henry Cohn, 2026, needs more optimization.
25 286 0.166673886209 Henry Cohn, 2026, needs more optimization.
25 287 0.166673967469 Henry Cohn, 2026, needs more optimization.
25 288 0.166674645230 Henry Cohn, 2026, needs more optimization.
25 289 0.166679226430 Henry Cohn, 2026, needs more optimization.
25 290 0.166729914566 Henry Cohn, 2026, needs more optimization.
25 291 0.167661617276 Henry Cohn, 2026, needs more optimization.
25 292 0.169495450095 Henry Cohn, 2026, needs more optimization.
25 293 0.170017083500 Henry Cohn, 2026, needs more optimization.
25 294 0.172089064197 Henry Cohn, 2026, needs more optimization.
25 295 0.173792758958 Henry Cohn, 2026, needs more optimization.
25 296 0.175973769008 Henry Cohn, 2026, needs more optimization.
25 297 0.177354550310 Henry Cohn, 2026, needs more optimization.
25 298 0.178951991776 Henry Cohn, 2026, needs more optimization.
25 299 0.180531769485 Henry Cohn, 2026, needs more optimization.
25 315 0.181818181819 Orthogonal union of 313 points in 24 dimensions and 2 points in 1 dimension.
11⁢x−2
25 316 0.181820968695 Henry Cohn, 2026, needs more optimization.
25 317 0.181822812212 Henry Cohn, 2026, needs more optimization.
25 318 0.181823182286 Henry Cohn, 2026, needs more optimization.
25 319 0.181829310933 Henry Cohn, 2026, needs more optimization.
25 320 0.181830591636 Henry Cohn, 2026, needs more optimization.
25 321 0.182385342449 Henry Cohn, 2026, needs more optimization.
25 322 0.183705296091 Henry Cohn, 2026, needs more optimization.
25 323 0.184922689436 Henry Cohn, 2026, needs more optimization.
25 324 0.185992261415 Henry Cohn, 2026, needs more optimization.
25 325 0.187189190370 Henry Cohn, 2026, needs more optimization.
25 326 0.187837854568 Henry Cohn, 2026, needs more optimization.
25 327 0.189994854159 Henry Cohn, 2026, needs more optimization.
25 328 0.191242313388 Henry Cohn, 2026, needs more optimization.
25 329 0.192219884399 Henry Cohn, 2026, needs more optimization.
25 332 0.193548387097 Orthogonal union of 330 points in 24 dimensions and 2 points in 1 dimension.
31⁢x−6
25 333 0.193556886382 Henry Cohn, 2026, needs more optimization.
25 334 0.193556930713 Henry Cohn, 2026, needs more optimization.
25 335 0.193907443337 Henry Cohn, 2026, needs more optimization.
25 340 0.194120819408 Henry Cohn, 2026, needs more optimization.
25 341 0.196572019209 Henry Cohn, 2026, needs more optimization.
25 342 0.198085921428 Henry Cohn, 2026, needs more optimization.
25 343 0.199556432772 Henry Cohn, 2026, needs more optimization.
25 556 0.2 Orthogonal union of 552 points in 23 dimensions and 4 points in 2 dimensions.
5⁢x−1
25 557 0.200003594574 Henry Cohn, 2026, needs more optimization.
25 558 0.200009514070 Henry Cohn, 2026, needs more optimization.
25 559 0.200018129024 Henry Cohn, 2026, needs more optimization.
25 560 0.200021577735 Henry Cohn, 2026, needs more optimization.
25 561 0.200025547975 Henry Cohn, 2026, needs more optimization.
25 562 0.200031362478 Henry Cohn, 2026, needs more optimization.
25 563 0.200362065252 Henry Cohn, 2026, needs more optimization.
25 564 0.201407606018 Henry Cohn, 2026, needs more optimization.
25 565 0.203397597073 Henry Cohn, 2026, needs more optimization.
25 566 0.207011498609 Henry Cohn, 2026, needs more optimization.
25 567 0.209925684642 Henry Cohn, 2026, needs more optimization.
25 568 0.211779946614 Henry Cohn, 2026, needs more optimization.
25 569 0.214515566083 Henry Cohn, 2026, needs more optimization.
25 570 0.216520252025 Henry Cohn, 2026, needs more optimization.
25 571 0.218024296889 Henry Cohn, 2026, needs more optimization.
25 572 0.219554344314 Henry Cohn, 2026, needs more optimization.
25 573 0.221367577021 Henry Cohn, 2026, needs more optimization.
25 574 0.222280260723 Henry Cohn, 2026, needs more optimization.
25 575 0.223748863800 Henry Cohn, 2026, needs more optimization.
25 576 0.224718255441 Henry Cohn, 2026, needs more optimization.
25 577 0.226369237576 Henry Cohn, 2026, needs more optimization.
25 578 0.226430553526 Henry Cohn, 2026, needs more optimization.
25 579 0.227443279612 Henry Cohn, 2026, needs more optimization.
25 580 0.228342867845 Henry Cohn, 2026, needs more optimization.
25 581 0.229140320135 Henry Cohn, 2026, needs more optimization.
25 582 0.229604873348 Henry Cohn, 2026, needs more optimization.
25 583 0.230841691389 Henry Cohn, 2026, needs more optimization.
25 584 0.231790993381 Henry Cohn, 2026, needs more optimization.
25 585 0.232067257206 Henry Cohn, 2026, needs more optimization.
25 586 0.233045174962 Henry Cohn, 2026, needs more optimization.
25 587 0.233556159024 Henry Cohn, 2026, needs more optimization.
25 588 0.234227301864 Henry Cohn, 2026, needs more optimization.
25 589 0.235075510173 Henry Cohn, 2026, needs more optimization.
25 590 0.235714450525 Henry Cohn, 2026, needs more optimization.
25 591 0.236502616227 Henry Cohn, 2026, needs more optimization.
25 592 0.237431291494 Henry Cohn, 2026, needs more optimization.
25 593 0.237522026156 Henry Cohn, 2026, needs more optimization.
25 594 0.237777699024 Henry Cohn, 2026, needs more optimization.
25 595 0.238111633098 Henry Cohn, 2026, needs more optimization.
25 596 0.238112851036 Henry Cohn, 2026, needs more optimization.
25 597 0.238113938493 Henry Cohn, 2026, needs more optimization.
25 598 0.238115195596 Henry Cohn, 2026, needs more optimization.
25 599 0.238116309237 Henry Cohn, 2026, needs more optimization.
25 600 0.238118618778 Henry Cohn, 2026, needs more optimization.
25 601 0.238120973406 Henry Cohn, 2026, needs more optimization.
25 602 0.238123815222 Henry Cohn, 2026, needs more optimization.
25 603 0.238127513874 Henry Cohn, 2026, needs more optimization.
25 604 0.238131125357 Henry Cohn, 2026, needs more optimization.
25 605 0.238134908539 Henry Cohn, 2026, needs more optimization.
25 606 0.238139276527 Henry Cohn, 2026, needs more optimization.
25 607 0.238146385438 Henry Cohn, 2026, needs more optimization.
25 608 0.238163564069 Henry Cohn, 2026, needs more optimization.
25 609 0.238174307382 Henry Cohn, 2026, needs more optimization.
25 610 0.238195123272 Henry Cohn, 2026, needs more optimization.
25 611 0.238199980102 Henry Cohn, 2026, needs more optimization.
25 612 0.238225649680 Henry Cohn, 2026, needs more optimization.
25 613 0.238236308439 Henry Cohn, 2026, needs more optimization.
25 614 0.238644634967 Henry Cohn, 2026, needs more optimization.
25 615 0.238699591293 Henry Cohn, 2026, needs more optimization.
25 616 0.238907910246 Henry Cohn, 2026, needs more optimization.
25 617 0.239278826664 Henry Cohn, 2026, needs more optimization.
25 618 0.239525480190 Henry Cohn, 2026, needs more optimization.
25 619 0.239673827785 Henry Cohn, 2026, needs more optimization.
25 620 0.239704518296 Henry Cohn, 2026, needs more optimization.
25 621 0.240098803839 Henry Cohn, 2026, needs more optimization.
25 622 0.240340320541 Henry Cohn, 2026, needs more optimization.
25 623 0.241265448306 Henry Cohn, 2026, needs more optimization.
25 624 0.241671395603 Henry Cohn, 2026, needs more optimization.
25 625 0.241823330837 Henry Cohn, 2026, needs more optimization.
25 626 0.242024026036 Henry Cohn, 2026, needs more optimization.
25 627 0.247534507218 Henry Cohn, 2026, needs more optimization.
25 628 0.248016685067 Henry Cohn, 2026, needs more optimization.
25 629 0.248059846146 Henry Cohn, 2026, needs more optimization.
25 630 0.248152649269 Henry Cohn, 2026, needs more optimization.
25 631 0.248167225509 Henry Cohn, 2026, needs more optimization.
25 632 0.248560244355 Henry Cohn, 2026, needs more optimization.
25 633 0.248582373796 Henry Cohn, 2026, needs more optimization.
25 634 0.248588430636 Henry Cohn, 2026, needs more optimization.
25 635 0.248592758933 Henry Cohn, 2026, needs more optimization.
25 636 0.248665262600 Henry Cohn, 2026, needs more optimization.
25 637 0.248689635024 Henry Cohn, 2026, needs more optimization.
25 638 0.248695822812 Henry Cohn, 2026, needs more optimization.
25 639 0.248704362028 Henry Cohn, 2026, needs more optimization.
25 640 0.248831152703 Henry Cohn, 2026, needs more optimization.
25 641 0.248891420921 Henry Cohn, 2026, needs more optimization.
25 642 0.248964775110 Henry Cohn, 2026, needs more optimization.
25 643 0.249015345428 Henry Cohn, 2026, needs more optimization.
25 644 0.249019368134 Henry Cohn, 2026, needs more optimization.
25 645 0.249073902332 Henry Cohn, 2026, needs more optimization.
25 646 0.249118776626 Henry Cohn, 2026, needs more optimization.
25 647 0.249140143960 Henry Cohn, 2026, needs more optimization.
25 648 0.249150151177 Henry Cohn, 2026, needs more optimization.
25 649 0.249158854787 Henry Cohn, 2026, needs more optimization.
25 650 0.249163833579 Henry Cohn, 2026, needs more optimization.
25 651 0.249170180364 Henry Cohn, 2026, needs more optimization.
25 652 0.249175542340 Henry Cohn, 2026, needs more optimization.
25 653 0.249229371499 Henry Cohn, 2026, needs more optimization.
25 654 0.249242259481 Henry Cohn, 2026, needs more optimization.
25 655 0.249257567921 Henry Cohn, 2026, needs more optimization.
25 656 0.249294622236 Henry Cohn, 2026, needs more optimization.
25 657 0.249348082404 Henry Cohn, 2026, needs more optimization.
25 658 0.249353242249 Henry Cohn, 2026, needs more optimization.
25 659 0.249447126496 Henry Cohn, 2026, needs more optimization.
25 660 0.249485747740 Henry Cohn, 2026, needs more optimization.
25 661 0.249505436696 Henry Cohn, 2026, needs more optimization.
25 662 0.249540910193 Henry Cohn, 2026, needs more optimization.
25 663 0.249558777011 Henry Cohn, 2026, needs more optimization.
25 664 0.249597070632 Henry Cohn, 2026, needs more optimization.
25 665 0.249629686360 Henry Cohn, 2026, needs more optimization.
25 666 0.249705705221 Henry Cohn, 2026, needs more optimization.
25 667 0.249713706288 Henry Cohn, 2026, needs more optimization.
25 668 0.249730098005 Henry Cohn, 2026, needs more optimization.
25 669 0.249749039634 Henry Cohn, 2026, needs more optimization.
25 670 0.249773742585 Henry Cohn, 2026, needs more optimization.
25 671 0.249802790935 Henry Cohn, 2026, needs more optimization.
25 672 0.249833957848 Henry Cohn, 2026, needs more optimization.
25 673 0.249889190745 Henry Cohn, 2026, needs more optimization.
25 674 0.249905840408 Henry Cohn, 2026, needs more optimization.
25 675 0.249911772131 Henry Cohn, 2026, needs more optimization.
25 676 0.249915416159 Henry Cohn, 2026, needs more optimization.
25 677 0.249942630210 Henry Cohn, 2026, needs more optimization.
25 900 0.25 Henry Cohn, 2025.
4⁢x−1
25 901 0.250026322873 Henry Cohn, 2026, needs more optimization.
25 905 0.250027950421 Henry Cohn, 2026, needs more optimization.
25 906 0.250031853320 Henry Cohn, 2026, needs more optimization.
25 909 0.250034442442 Henry Cohn, 2026, needs more optimization.
25 910 0.250035704417 Henry Cohn, 2026, needs more optimization.
25 911 0.250038851114 Henry Cohn, 2026, needs more optimization.
25 912 0.250045746829 Henry Cohn, 2026, needs more optimization.
25 913 0.250055530548 Henry Cohn, 2026, needs more optimization.
25 914 0.250075898230 Henry Cohn, 2026, needs more optimization.
25 916 0.250136617581 Henry Cohn, 2026, needs more optimization.
25 917 0.250253724244 Henry Cohn, 2026, needs more optimization.
25 919 0.250255803703 Henry Cohn, 2026, needs more optimization.
25 920 0.250399053862 Henry Cohn, 2026, needs more optimization.
25 922 0.250960121636 Henry Cohn, 2026, needs more optimization.
25 923 0.251228196323 Henry Cohn, 2026, needs more optimization.
25 924 0.251455239498 Henry Cohn, 2026, needs more optimization.
25 925 0.251565227846 Henry Cohn, 2026, needs more optimization.
25 927 0.251965196644 Henry Cohn, 2026, needs more optimization.
25 928 0.252712185642 Henry Cohn, 2026, needs more optimization.
25 929 0.253522186505 Henry Cohn, 2026, needs more optimization.
25 930 0.253819843217 Henry Cohn, 2026, needs more optimization.
25 931 0.254422375558 Henry Cohn, 2026, needs more optimization.
25 932 0.254773463854 Henry Cohn, 2026, needs more optimization.
25 933 0.255124272575 Henry Cohn, 2026, needs more optimization.
25 934 0.255714470183 Henry Cohn, 2026, needs more optimization.
25 935 0.256150630130 Henry Cohn, 2026, needs more optimization.
25 936 0.256870830588 Henry Cohn, 2026, needs more optimization.
25 937 0.257439114291 Henry Cohn, 2026, needs more optimization.
25 938 0.257802739656 Henry Cohn, 2026, needs more optimization.
25 939 0.258101606425 Henry Cohn, 2026, needs more optimization.
25 940 0.258467993391 Henry Cohn, 2026, needs more optimization.
25 941 0.259035604833 Henry Cohn, 2026, needs more optimization.
25 942 0.259759182828 Henry Cohn, 2026, needs more optimization.
25 943 0.260017849199 Henry Cohn, 2026, needs more optimization.
25 944 0.260450614689 Henry Cohn, 2026, needs more optimization.
25 945 0.261051786756 Henry Cohn, 2026, needs more optimization.
25 946 0.261543379805 Henry Cohn, 2026, needs more optimization.
25 947 0.261765921134 Henry Cohn, 2026, needs more optimization.
25 948 0.262156383146 Henry Cohn, 2026, needs more optimization.
25 949 0.262807239998 Henry Cohn, 2026, needs more optimization.
25 950 0.263473347570 Henry Cohn, 2026, needs more optimization.
25 951 0.263638373143 Henry Cohn, 2026, needs more optimization.
25 953 0.264353766044 Henry Cohn, 2026, needs more optimization.
25 954 0.264568188078 Henry Cohn, 2026, needs more optimization.
25 955 0.265105157582 Henry Cohn, 2026, needs more optimization.
25 956 0.265765593705 Henry Cohn, 2026, needs more optimization.
25 957 0.266209138353 Henry Cohn, 2026, needs more optimization.
25 958 0.266564180034 Henry Cohn, 2026, needs more optimization.
25 959 0.267036697575 Henry Cohn, 2026, needs more optimization.
25 960 0.267361493018 Henry Cohn, 2026, needs more optimization.
25 961 0.267587485558 Henry Cohn, 2026, needs more optimization.
25 962 0.267637521150 Henry Cohn, 2026, needs more optimization.
25 963 0.267864471611 Henry Cohn, 2026, needs more optimization.
25 964 0.268221534088 Henry Cohn, 2026, needs more optimization.
25 965 0.268604701099 Henry Cohn, 2026, needs more optimization.
25 966 0.268970639748 Henry Cohn, 2026, needs more optimization.
25 967 0.269348138361 Henry Cohn, 2026, needs more optimization.
25 969 0.269886838788 Henry Cohn, 2026, needs more optimization.
25 970 0.269942580894 Henry Cohn, 2026, needs more optimization.
25 971 0.270413509796 Henry Cohn, 2026, needs more optimization.
25 972 0.270733842648 Henry Cohn, 2026, needs more optimization.
25 973 0.270767752385 Henry Cohn, 2026, needs more optimization.
25 974 0.270898218500 Henry Cohn, 2026, needs more optimization.
25 975 0.271572702412 Henry Cohn, 2026, needs more optimization.
25 976 0.271801617956 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 0.035747861992 Henry Cohn, 2026.
26 55 0.039999166105 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 0.045550434603 Henry Cohn, 2024.
26 59 0.046163974402 Henry Cohn, 2025.
26 60 0.046455966295 Henry Cohn, 2026.
26 61 0.049243792036 Henry Cohn, 2026.
26 62 0.051908007699 Henry Cohn, 2026.
26 63 0.054427947454 Henry Cohn, 2026.
26 64 0.056899291387 Henry Cohn, 2026, needs more optimization.
26 65 0.060274304039 Henry Cohn, 2026, needs more optimization.
26 66 0.062099839613 Henry Cohn, 2026, needs more optimization.
26 67 0.063559234920 Henry Cohn, 2026, needs more optimization.
26 68 0.063600411317 Henry Cohn, 2026, needs more optimization.
26 69 0.064916628125 Henry Cohn, 2026, needs more optimization.
26 70 0.065400201653 Henry Cohn, 2026, needs more optimization.
26 71 0.067315604578 Henry Cohn, 2026.
26 72 0.068297564144 Henry Cohn, 2026, needs more optimization.
26 73 0.070930211069 Henry Cohn, 2026, needs more optimization.
26 74 0.073191111903 Henry Cohn, 2026, needs more optimization.
26 75 0.074028141344 Henry Cohn, 2026, needs more optimization.
26 76 0.075372291919 Henry Cohn, 2026, needs more optimization.
26 77 0.076354800296 Henry Cohn, 2026, needs more optimization.
26 78 0.076864987251 Henry Cohn, 2026, needs more optimization.
26 79 0.076920087992 Henry Cohn, 2026, needs more optimization.
26 80 0.076965633128 Henry Cohn, 2026, needs more optimization.
26 81 0.077577284271 Henry Cohn, 2026, needs more optimization.
26 82 0.077924828163 Henry Cohn, 2026, needs more optimization.
26 83 0.078212011824 Henry Cohn, 2026, needs more optimization.
26 84 0.078381128169 Henry Cohn, 2026, needs more optimization.
26 85 0.078756323807 Henry Cohn, 2026, needs more optimization.
26 86 0.079383109269 Henry Cohn, 2026, needs more optimization.
26 94 0.080685003328 Henry Cohn, 2026.
575⁢x2−34⁢x−1
26 95 0.082981805788 Henry Cohn, 2026, needs more optimization.
26 96 0.085915387829 Henry Cohn, 2026, needs more optimization.
26 97 0.089166971916 Henry Cohn, 2026, needs more optimization.
26 98 0.089792955000 Henry Cohn, 2026, needs more optimization.
26 99 0.090058550732 Henry Cohn, 2026, needs more optimization.
26 100 0.090357680815 Henry Cohn, 2026, needs more optimization.
26 101 0.090569194848 Henry Cohn, 2026, needs more optimization.
26 102 0.090686733783 Henry Cohn, 2026, needs more optimization.
26 103 0.090772374883 Henry Cohn, 2026, needs more optimization.
26 104 0.090847260148 Henry Cohn, 2026, needs more optimization.
26 105 0.090867443639 Henry Cohn, 2026, needs more optimization.
26 106 0.090898073286 Henry Cohn, 2026, needs more optimization.
26 108 0.090899908501 Henry Cohn, 2026, needs more optimization.
26 109 0.090904435391 Henry Cohn, 2026, needs more optimization.
26 110 0.090909315688 Henry Cohn, 2026, needs more optimization.
26 111 0.091805304825 Henry Cohn, 2026, needs more optimization.
26 112 0.094492508573 Henry Cohn, 2026, needs more optimization.
26 113 0.097432421977 Henry Cohn, 2026, needs more optimization.
26 114 0.100692911134 Henry Cohn, 2026, needs more optimization.
26 120 0.103125332235 Henry Cohn, 2026.
191⁢x2−10⁢x−1
26 121 0.103746590293 Henry Cohn, 2026, needs more optimization.
26 122 0.105414306628 Henry Cohn, 2026, needs more optimization.
26 123 0.106264634135 Henry Cohn, 2026, needs more optimization.
26 124 0.107120404752 Henry Cohn, 2026, needs more optimization.
26 125 0.107686849666 Henry Cohn, 2026, needs more optimization.
26 126 0.108555360094 Henry Cohn, 2026, needs more optimization.
26 127 0.109072968611 Henry Cohn, 2026, needs more optimization.
26 128 0.111062131426 Henry Cohn, 2026, needs more optimization.
26 129 0.111064080622 Henry Cohn, 2026, needs more optimization.
26 130 0.111084228128 Henry Cohn, 2026, needs more optimization.
26 131 0.111106517793 Henry Cohn, 2026, needs more optimization.
26 132 0.112890660420 Henry Cohn, 2026, needs more optimization.
26 133 0.114542503940 Henry Cohn, 2026, needs more optimization.
26 134 0.115389847323 Henry Cohn, 2026, needs more optimization.
26 135 0.116309356408 Henry Cohn, 2026, needs more optimization.
26 136 0.116455214708 Henry Cohn, 2026, needs more optimization.
26 137 0.117070718731 Henry Cohn, 2026, needs more optimization.
26 138 0.118625425503 Henry Cohn, 2026, needs more optimization.
26 139 0.122355865950 Henry Cohn, 2026, needs more optimization.
26 140 0.125308839259 Henry Cohn, 2026, needs more optimization.
26 141 0.127924296581 Henry Cohn, 2026, needs more optimization.
26 142 0.130226435820 Henry Cohn, 2026, needs more optimization.
26 143 0.131469940679 Henry Cohn, 2026, needs more optimization.
26 144 0.131615150513 Henry Cohn, 2026, needs more optimization.
26 145 0.131732419223 Henry Cohn, 2026, needs more optimization.
26 146 0.131788551438 Henry Cohn, 2026, needs more optimization.
26 147 0.131911831403 Henry Cohn, 2026, needs more optimization.
26 148 0.132095013433 Henry Cohn, 2026, needs more optimization.
26 149 0.132435314350 Henry Cohn, 2026, needs more optimization.
26 150 0.133025384274 Henry Cohn, 2026, needs more optimization.
26 158 0.133333333334 Orthogonal union of 156 points in 25 dimensions and 2 points in 1 dimension.
15⁢x−2
26 159 0.133334797061 Henry Cohn, 2026, needs more optimization.
26 160 0.134520569698 Henry Cohn, 2026, needs more optimization.
26 161 0.135129077885 Henry Cohn, 2026, needs more optimization.
26 162 0.135323044635 Henry Cohn, 2026, needs more optimization.
26 163 0.136053470788 Henry Cohn, 2026, needs more optimization.
26 164 0.136697655172 Henry Cohn, 2026, needs more optimization.
26 165 0.137900513266 Henry Cohn, 2026, needs more optimization.
26 166 0.138941425001 Henry Cohn, 2026, needs more optimization.
26 167 0.139937937906 Henry Cohn, 2026, needs more optimization.
26 168 0.141037807557 Henry Cohn, 2026, needs more optimization.
26 169 0.142695725240 Henry Cohn, 2026, needs more optimization.
26 171 0.142714428208 Henry Cohn, 2026, needs more optimization.
26 172 0.142738185694 Henry Cohn, 2026, needs more optimization.
26 173 0.142750494345 Henry Cohn, 2026, needs more optimization.
26 174 0.142779975837 Henry Cohn, 2026, needs more optimization.
26 175 0.142811152426 Henry Cohn, 2026, needs more optimization.
26 176 0.142818455298 Henry Cohn, 2026, needs more optimization.
26 177 0.142820793051 Henry Cohn, 2026, needs more optimization.
26 178 0.142825590506 Henry Cohn, 2026, needs more optimization.
26 179 0.142826938191 Henry Cohn, 2026, needs more optimization.
26 180 0.142828680429 Henry Cohn, 2026, needs more optimization.
26 181 0.142838418038 Henry Cohn, 2026, needs more optimization.
26 182 0.142851523137 Henry Cohn, 2026, needs more optimization.
26 183 0.142856569839 Henry Cohn, 2026, needs more optimization.
26 184 0.142861663193 Henry Cohn, 2026, needs more optimization.
26 185 0.142903385455 Henry Cohn, 2026, needs more optimization.
26 186 0.143134819699 Henry Cohn, 2026, needs more optimization.
26 187 0.143817566258 Henry Cohn, 2026, needs more optimization.
26 188 0.145250691607 Henry Cohn, 2026, needs more optimization.
26 189 0.145559204479 Henry Cohn, 2026, needs more optimization.
26 190 0.146589051208 Henry Cohn, 2026, needs more optimization.
26 191 0.146847249314 Henry Cohn, 2026, needs more optimization.
26 195 0.146895420127 Henry Cohn, 2026, needs more optimization.
26 198 0.147017497420 Henry Cohn, 2026, needs more optimization.
26 199 0.147134123543 Henry Cohn, 2026, needs more optimization.
26 200 0.147274320220 Henry Cohn, 2026, needs more optimization.
26 202 0.147505089240 Henry Cohn, 2026, needs more optimization.
26 203 0.148615743269 Henry Cohn, 2026, needs more optimization.
26 204 0.148920090577 Henry Cohn, 2026, needs more optimization.
26 205 0.149673071835 Henry Cohn, 2026, needs more optimization.
26 206 0.150286651582 Henry Cohn, 2026, needs more optimization.
26 207 0.150514142338 Henry Cohn, 2026, needs more optimization.
26 208 0.150819572558 Henry Cohn, 2026, needs more optimization.
26 211 0.150867781067 Henry Cohn, 2026, needs more optimization.
26 212 0.151228789559 Henry Cohn, 2026, needs more optimization.
26 213 0.151228789565 Henry Cohn, 2026, needs more optimization.
26 215 0.151285789035 Henry Cohn, 2026, needs more optimization.
26 218 0.151936985070 Henry Cohn, 2026, needs more optimization.
26 219 0.151940609677 Henry Cohn, 2026, needs more optimization.
26 220 0.152490829829 Henry Cohn, 2026, needs more optimization.
26 221 0.154103824819 Henry Cohn, 2026, needs more optimization.
26 222 0.154408970226 Henry Cohn, 2026, needs more optimization.
26 223 0.154620026759 Henry Cohn, 2026, needs more optimization.
26 224 0.155109750274 Henry Cohn, 2026, needs more optimization.
26 225 0.156464864372 Henry Cohn, 2026, needs more optimization.
26 226 0.157074622921 Henry Cohn, 2026, needs more optimization.
26 227 0.157305252018 Henry Cohn, 2026, needs more optimization.
26 228 0.158667618735 Henry Cohn, 2026, needs more optimization.
26 229 0.158690917713 Henry Cohn, 2026, needs more optimization.
26 230 0.159417755506 Henry Cohn, 2026, needs more optimization.
26 231 0.160342117732 Henry Cohn, 2026, needs more optimization.
26 232 0.161976021719 Henry Cohn, 2026, needs more optimization.
26 233 0.162068353164 Henry Cohn, 2026, needs more optimization.
26 234 0.162596406946 Henry Cohn, 2026, needs more optimization.
26 235 0.162962010477 Henry Cohn, 2026, needs more optimization.
26 236 0.163196819363 Henry Cohn, 2026, needs more optimization.
26 237 0.163752338457 Henry Cohn, 2026, needs more optimization.
26 238 0.163931115907 Henry Cohn, 2026, needs more optimization.
26 239 0.164441237888 Henry Cohn, 2026, needs more optimization.
26 240 0.164547776423 Henry Cohn, 2026, needs more optimization.
26 241 0.165094605643 Henry Cohn, 2026, needs more optimization.
26 242 0.165452095984 Henry Cohn, 2026, needs more optimization.
26 243 0.165727165929 Henry Cohn, 2026, needs more optimization.
26 244 0.165983023429 Henry Cohn, 2026, needs more optimization.
26 245 0.166130477455 Henry Cohn, 2026, needs more optimization.
26 246 0.166263313414 Henry Cohn, 2026, needs more optimization.
26 247 0.166417856077 Henry Cohn, 2026, needs more optimization.
26 248 0.166448968796 Henry Cohn, 2026, needs more optimization.
26 249 0.166453559765 Henry Cohn, 2026, needs more optimization.
26 250 0.166550762425 Henry Cohn, 2026, needs more optimization.
26 251 0.166600186165 Henry Cohn, 2026, needs more optimization.
26 252 0.166618054562 Henry Cohn, 2026, needs more optimization.
26 253 0.166652599260 Henry Cohn, 2026, needs more optimization.
26 285 0.166666666667 Orthogonal union of 275 points in 22 dimensions and 10 points in 4 dimensions.
6⁢x−1
26 287 0.166666872444 Henry Cohn, 2026, needs more optimization.
26 288 0.166672241662 Henry Cohn, 2026, needs more optimization.
26 289 0.166672343720 Henry Cohn, 2026, needs more optimization.
26 290 0.166673820130 Henry Cohn, 2026, needs more optimization.
26 291 0.166675041156 Henry Cohn, 2026, needs more optimization.
26 292 0.166676069312 Henry Cohn, 2026, needs more optimization.
26 293 0.166677370317 Henry Cohn, 2026, needs more optimization.
26 294 0.166679076657 Henry Cohn, 2026, needs more optimization.
26 295 0.166695601196 Henry Cohn, 2026, needs more optimization.
26 296 0.166717878929 Henry Cohn, 2026, needs more optimization.
26 297 0.166912257473 Henry Cohn, 2026, needs more optimization.
26 298 0.167344411725 Henry Cohn, 2026, needs more optimization.
26 299 0.168453689504 Henry Cohn, 2026, needs more optimization.
26 300 0.169951488062 Henry Cohn, 2026, needs more optimization.
26 301 0.170991306035 Henry Cohn, 2026, needs more optimization.
26 302 0.172109051565 Henry Cohn, 2026, needs more optimization.
26 303 0.173886753234 Henry Cohn, 2026, needs more optimization.
26 304 0.175772275113 Henry Cohn, 2026, needs more optimization.
26 305 0.176694407463 Henry Cohn, 2026, needs more optimization.
26 306 0.178424805276 Henry Cohn, 2026, needs more optimization.
26 307 0.179776145255 Henry Cohn, 2026, needs more optimization.
26 308 0.180656515746 Henry Cohn, 2026, needs more optimization.
26 317 0.181818181819 Orthogonal union of 313 points in 24 dimensions and 4 points in 2 dimensions.
11⁢x−2
26 318 0.181820852274 Henry Cohn, 2026, needs more optimization.
26 319 0.181822609238 Henry Cohn, 2026, needs more optimization.
26 320 0.181823100865 Henry Cohn, 2026, needs more optimization.
26 321 0.181823655578 Henry Cohn, 2026, needs more optimization.
26 322 0.181823792997 Henry Cohn, 2026, needs more optimization.
26 323 0.181823988795 Henry Cohn, 2026, needs more optimization.
26 324 0.181824181855 Henry Cohn, 2026, needs more optimization.
26 325 0.181824468583 Henry Cohn, 2026, needs more optimization.
26 326 0.181824578333 Henry Cohn, 2026, needs more optimization.
26 327 0.181824902734 Henry Cohn, 2026, needs more optimization.
26 328 0.181831848739 Henry Cohn, 2026, needs more optimization.
26 329 0.181835680585 Henry Cohn, 2026, needs more optimization.
26 330 0.181862939689 Henry Cohn, 2026, needs more optimization.
26 331 0.182109683001 Henry Cohn, 2026, needs more optimization.
26 332 0.182737835404 Henry Cohn, 2026, needs more optimization.
26 333 0.184018238387 Henry Cohn, 2026, needs more optimization.
26 334 0.185149082833 Henry Cohn, 2026, needs more optimization.
26 335 0.185874730374 Henry Cohn, 2026, needs more optimization.
26 336 0.187322236655 Henry Cohn, 2026, needs more optimization.
26 337 0.188003800015 Henry Cohn, 2026, needs more optimization.
26 338 0.188875396338 Henry Cohn, 2026, needs more optimization.
26 339 0.190011700712 Henry Cohn, 2026, needs more optimization.
26 340 0.190353496665 Henry Cohn, 2026, needs more optimization.
26 341 0.192212777213 Henry Cohn, 2026, needs more optimization.
26 342 0.192595853486 Henry Cohn, 2026, needs more optimization.
26 343 0.193284417917 Henry Cohn, 2026, needs more optimization.
26 344 0.194551013028 Henry Cohn, 2026, needs more optimization.
26 345 0.195191551890 Henry Cohn, 2026, needs more optimization.
26 346 0.196340083994 Henry Cohn, 2026, needs more optimization.
26 347 0.196469882063 Henry Cohn, 2026, needs more optimization.
26 348 0.196589950616 Henry Cohn, 2026, needs more optimization.
26 349 0.196682260563 Henry Cohn, 2026, needs more optimization.
26 350 0.196922864647 Henry Cohn, 2026, needs more optimization.
26 351 0.197026527792 Henry Cohn, 2026, needs more optimization.
26 352 0.197163360464 Henry Cohn, 2026, needs more optimization.
26 353 0.197301910237 Henry Cohn, 2026, needs more optimization.
26 354 0.197348703256 Henry Cohn, 2026, needs more optimization.
26 355 0.197429243153 Henry Cohn, 2026, needs more optimization.
26 356 0.197696928067 Henry Cohn, 2026, needs more optimization.
26 357 0.197818743312 Henry Cohn, 2026, needs more optimization.
26 358 0.197902740911 Henry Cohn, 2026, needs more optimization.
26 359 0.198059968277 Henry Cohn, 2026, needs more optimization.
26 360 0.198178669122 Henry Cohn, 2026, needs more optimization.
26 361 0.198350111366 Henry Cohn, 2026, needs more optimization.
26 362 0.198439235336 Henry Cohn, 2026, needs more optimization.
26 363 0.198442795033 Henry Cohn, 2026, needs more optimization.
26 364 0.198445392640 Henry Cohn, 2026, needs more optimization.
26 365 0.198576575635 Henry Cohn, 2026, needs more optimization.
26 366 0.198603806868 Henry Cohn, 2026, needs more optimization.
26 367 0.198672589770 Henry Cohn, 2026, needs more optimization.
26 368 0.198719961552 Henry Cohn, 2026, needs more optimization.
26 369 0.198824551024 Henry Cohn, 2026, needs more optimization.
26 370 0.198896189524 Henry Cohn, 2026, needs more optimization.
26 371 0.199051305741 Henry Cohn, 2026, needs more optimization.
26 372 0.199132033222 Henry Cohn, 2026, needs more optimization.
26 373 0.199157241935 Henry Cohn, 2026, needs more optimization.
26 374 0.199220161012 Henry Cohn, 2026, needs more optimization.
26 375 0.199284476513 Henry Cohn, 2026, needs more optimization.
26 376 0.199333197948 Henry Cohn, 2026, needs more optimization.
26 377 0.199365615535 Henry Cohn, 2026, needs more optimization.
26 378 0.199486130062 Henry Cohn, 2026, needs more optimization.
26 379 0.199491117105 Henry Cohn, 2026, needs more optimization.
26 380 0.199541864340 Henry Cohn, 2026, needs more optimization.
26 381 0.199618756048 Henry Cohn, 2026, needs more optimization.
26 382 0.199651900150 Henry Cohn, 2026, needs more optimization.
26 383 0.199692888947 Henry Cohn, 2026, needs more optimization.
26 384 0.199724103445 Henry Cohn, 2026, needs more optimization.
26 385 0.199758503747 Henry Cohn, 2026, needs more optimization.
26 386 0.199773745539 Henry Cohn, 2026, needs more optimization.
26 387 0.199785024003 Henry Cohn, 2026, needs more optimization.
26 388 0.199786455715 Henry Cohn, 2026, needs more optimization.
26 389 0.199787835011 Henry Cohn, 2026, needs more optimization.
26 390 0.199847527485 Henry Cohn, 2026, needs more optimization.
26 391 0.199848540748 Henry Cohn, 2026, needs more optimization.
26 392 0.199855346287 Henry Cohn, 2026, needs more optimization.
26 393 0.199881816865 Henry Cohn, 2026, needs more optimization.
26 394 0.199889588306 Henry Cohn, 2026, needs more optimization.
26 395 0.199918867421 Henry Cohn, 2026, needs more optimization.
26 396 0.199936722134 Henry Cohn, 2026, needs more optimization.
26 397 0.199957135107 Henry Cohn, 2026, needs more optimization.
26 398 0.199974189147 Henry Cohn, 2026, needs more optimization.
26 399 0.199976210863 Henry Cohn, 2026, needs more optimization.
26 400 0.199983613212 Henry Cohn, 2026, needs more optimization.
26 558 0.2 Orthogonal union of 552 points in 23 dimensions and 6 points in 3 dimensions.
5⁢x−1
26 559 0.200002610266 Henry Cohn, 2026, needs more optimization.
26 560 0.200003220962 Henry Cohn, 2026, needs more optimization.
26 561 0.200012638066 Henry Cohn, 2026, needs more optimization.
26 562 0.200013431601 Henry Cohn, 2026, needs more optimization.
26 563 0.200014414848 Henry Cohn, 2026, needs more optimization.
26 564 0.200016036597 Henry Cohn, 2026, needs more optimization.
26 565 0.200017479986 Henry Cohn, 2026, needs more optimization.
26 566 0.200019148269 Henry Cohn, 2026, needs more optimization.
26 567 0.200020181160 Henry Cohn, 2026, needs more optimization.
26 568 0.200023483180 Henry Cohn, 2026, needs more optimization.
26 569 0.200065691409 Henry Cohn, 2026, needs more optimization.
26 570 0.200163197235 Henry Cohn, 2026, needs more optimization.
26 571 0.200653495379 Henry Cohn, 2026, needs more optimization.
26 572 0.201144029645 Henry Cohn, 2026, needs more optimization.
26 573 0.202578693723 Henry Cohn, 2026, needs more optimization.
26 574 0.202728355345 Henry Cohn, 2026, needs more optimization.
26 575 0.205130676639 Henry Cohn, 2026, needs more optimization.
26 576 0.206053433077 Henry Cohn, 2026, needs more optimization.
26 577 0.208827531087 Henry Cohn, 2026, needs more optimization.
26 578 0.210082119059 Henry Cohn, 2026, needs more optimization.
26 579 0.211552513785 Henry Cohn, 2026, needs more optimization.
26 580 0.212569712996 Henry Cohn, 2026, needs more optimization.
26 581 0.214602624532 Henry Cohn, 2026, needs more optimization.
26 582 0.216380729775 Henry Cohn, 2026, needs more optimization.
26 583 0.216977322413 Henry Cohn, 2026, needs more optimization.
26 584 0.217553956596 Henry Cohn, 2026, needs more optimization.
26 585 0.218893358079 Henry Cohn, 2026, needs more optimization.
26 586 0.219471920152 Henry Cohn, 2026, needs more optimization.
26 587 0.220741895913 Henry Cohn, 2026, needs more optimization.
26 588 0.221654051092 Henry Cohn, 2026, needs more optimization.
26 589 0.222147718936 Henry Cohn, 2026, needs more optimization.
26 590 0.222962671978 Henry Cohn, 2026, needs more optimization.
26 591 0.224078725347 Henry Cohn, 2026, needs more optimization.
26 592 0.224595262344 Henry Cohn, 2026, needs more optimization.
26 593 0.225031791190 Henry Cohn, 2026, needs more optimization.
26 594 0.225984506054 Henry Cohn, 2026, needs more optimization.
26 595 0.226325737052 Henry Cohn, 2026, needs more optimization.
26 596 0.226668684872 Henry Cohn, 2026, needs more optimization.
26 597 0.238103121448 Henry Cohn, 2026, needs more optimization.
26 598 0.238103222050 Henry Cohn, 2026, needs more optimization.
26 599 0.238103863017 Henry Cohn, 2026, needs more optimization.
26 600 0.238104208989 Henry Cohn, 2026, needs more optimization.
26 601 0.238104451671 Henry Cohn, 2026, needs more optimization.
26 602 0.238104542486 Henry Cohn, 2026, needs more optimization.
26 603 0.238104762807 Henry Cohn, 2026, needs more optimization.
26 604 0.238104920434 Henry Cohn, 2026, needs more optimization.
26 605 0.238105685447 Henry Cohn, 2026, needs more optimization.
26 606 0.238106304817 Henry Cohn, 2026, needs more optimization.
26 607 0.238106898372 Henry Cohn, 2026, needs more optimization.
26 608 0.238107990715 Henry Cohn, 2026, needs more optimization.
26 609 0.238108765040 Henry Cohn, 2026, needs more optimization.
26 610 0.238110010638 Henry Cohn, 2026, needs more optimization.
26 611 0.238110696050 Henry Cohn, 2026, needs more optimization.
26 612 0.238112142280 Henry Cohn, 2026, needs more optimization.
26 613 0.238113889379 Henry Cohn, 2026, needs more optimization.
26 614 0.238116934266 Henry Cohn, 2026, needs more optimization.
26 615 0.238118024855 Henry Cohn, 2026, needs more optimization.
26 616 0.238119720204 Henry Cohn, 2026, needs more optimization.
26 617 0.238124045496 Henry Cohn, 2026, needs more optimization.
26 618 0.238126388956 Henry Cohn, 2026, needs more optimization.
26 619 0.238131900731 Henry Cohn, 2026, needs more optimization.
26 620 0.238133303612 Henry Cohn, 2026, needs more optimization.
26 621 0.238138077865 Henry Cohn, 2026, needs more optimization.
26 622 0.238142251856 Henry Cohn, 2026, needs more optimization.
26 623 0.238147710483 Henry Cohn, 2026, needs more optimization.
26 624 0.238159744622 Henry Cohn, 2026, needs more optimization.
26 625 0.238183664361 Henry Cohn, 2026, needs more optimization.
26 626 0.238186865578 Henry Cohn, 2026, needs more optimization.
26 627 0.238191713081 Henry Cohn, 2026, needs more optimization.
26 628 0.238219569037 Henry Cohn, 2026, needs more optimization.
26 629 0.239109201585 Henry Cohn, 2026, needs more optimization.
26 630 0.239254153984 Henry Cohn, 2026, needs more optimization.
26 631 0.239304491595 Henry Cohn, 2026, needs more optimization.
26 632 0.240262415310 Henry Cohn, 2026, needs more optimization.
26 633 0.240869765639 Henry Cohn, 2026, needs more optimization.
26 634 0.241004120137 Henry Cohn, 2026, needs more optimization.
26 635 0.241750923688 Henry Cohn, 2026, needs more optimization.
26 636 0.241986122259 Henry Cohn, 2026, needs more optimization.
26 637 0.242020409692 Henry Cohn, 2026, needs more optimization.
26 638 0.242028465142 Henry Cohn, 2026, needs more optimization.
26 639 0.242970918674 Henry Cohn, 2026, needs more optimization.
26 640 0.243453031544 Henry Cohn, 2026, needs more optimization.
26 641 0.244588746473 Henry Cohn, 2026, needs more optimization.
26 642 0.244645010085 Henry Cohn, 2026, needs more optimization.
26 643 0.244658463034 Henry Cohn, 2026, needs more optimization.
26 644 0.244988446095 Henry Cohn, 2026, needs more optimization.
26 645 0.246134524414 Henry Cohn, 2026, needs more optimization.
26 646 0.246305917071 Henry Cohn, 2026, needs more optimization.
26 647 0.246332259112 Henry Cohn, 2026, needs more optimization.
26 648 0.246417446237 Henry Cohn, 2026, needs more optimization.
26 649 0.246426063951 Henry Cohn, 2026, needs more optimization.
26 650 0.246431030824 Henry Cohn, 2026, needs more optimization.
26 651 0.247110168199 Henry Cohn, 2026, needs more optimization.
26 652 0.247187796221 Henry Cohn, 2026, needs more optimization.
26 653 0.247191897077 Henry Cohn, 2026, needs more optimization.
26 654 0.247407340479 Henry Cohn, 2026, needs more optimization.
26 655 0.247660358306 Henry Cohn, 2026, needs more optimization.
26 656 0.247670509935 Henry Cohn, 2026, needs more optimization.
26 657 0.247803598616 Henry Cohn, 2026, needs more optimization.
26 658 0.247810601407 Henry Cohn, 2026, needs more optimization.
26 659 0.248013633152 Henry Cohn, 2026, needs more optimization.
26 660 0.248022808056 Henry Cohn, 2026, needs more optimization.
26 661 0.248163546800 Henry Cohn, 2026, needs more optimization.
26 662 0.248184070683 Henry Cohn, 2026, needs more optimization.
26 663 0.248215108324 Henry Cohn, 2026, needs more optimization.
26 664 0.248230830315 Henry Cohn, 2026, needs more optimization.
26 665 0.248335643697 Henry Cohn, 2026, needs more optimization.
26 666 0.248403992323 Henry Cohn, 2026, needs more optimization.
26 667 0.248429521541 Henry Cohn, 2026, needs more optimization.
26 668 0.248431785022 Henry Cohn, 2026, needs more optimization.
26 669 0.248475027327 Henry Cohn, 2026, needs more optimization.
26 670 0.248477148120 Henry Cohn, 2026, needs more optimization.
26 671 0.248553910543 Henry Cohn, 2026, needs more optimization.
26 672 0.248641666427 Henry Cohn, 2026, needs more optimization.
26 673 0.248676343400 Henry Cohn, 2026, needs more optimization.
26 674 0.248707267049 Henry Cohn, 2026, needs more optimization.
26 675 0.248719715269 Henry Cohn, 2026, needs more optimization.
26 676 0.248726516051 Henry Cohn, 2026, needs more optimization.
26 677 0.248745614081 Henry Cohn, 2026, needs more optimization.
26 678 0.248764895310 Henry Cohn, 2026, needs more optimization.
26 679 0.248788815282 Henry Cohn, 2026, needs more optimization.
26 680 0.248845080862 Henry Cohn, 2026, needs more optimization.
26 681 0.248855545351 Henry Cohn, 2026, needs more optimization.
26 682 0.248912236776 Henry Cohn, 2026, needs more optimization.
26 683 0.248980280507 Henry Cohn, 2026, needs more optimization.
26 684 0.249107798490 Henry Cohn, 2026, needs more optimization.
26 685 0.249154003042 Henry Cohn, 2026, needs more optimization.
26 686 0.249177551583 Henry Cohn, 2026, needs more optimization.
26 687 0.249186532305 Henry Cohn, 2026, needs more optimization.
26 688 0.249191704981 Henry Cohn, 2026, needs more optimization.
26 689 0.249251567995 Henry Cohn, 2026, needs more optimization.
26 690 0.249269553733 Henry Cohn, 2026, needs more optimization.
26 691 0.249349394888 Henry Cohn, 2026, needs more optimization.
26 692 0.249382096021 Henry Cohn, 2026, needs more optimization.
26 693 0.249449514637 Henry Cohn, 2026, needs more optimization.
26 694 0.249456572351 Henry Cohn, 2026, needs more optimization.
26 695 0.249481838856 Henry Cohn, 2026, needs more optimization.
26 696 0.249493799681 Henry Cohn, 2026, needs more optimization.
26 697 0.249500753623 Henry Cohn, 2026, needs more optimization.
26 698 0.249564998195 Henry Cohn, 2026, needs more optimization.
26 699 0.249602496003 Henry Cohn, 2026, needs more optimization.
26 700 0.249615645487 Henry Cohn, 2026, needs more optimization.
26 701 0.249635638567 Henry Cohn, 2026, needs more optimization.
26 702 0.249660144552 Henry Cohn, 2026, needs more optimization.
26 703 0.249671542493 Henry Cohn, 2026, needs more optimization.
26 704 0.249686046431 Henry Cohn, 2026, needs more optimization.
26 705 0.249700912435 Henry Cohn, 2026, needs more optimization.
26 706 0.249718069791 Henry Cohn, 2026, needs more optimization.
26 707 0.249734397664 Henry Cohn, 2026, needs more optimization.
26 708 0.249740814846 Henry Cohn, 2026, needs more optimization.
26 709 0.249751546954 Henry Cohn, 2026, needs more optimization.
26 710 0.249761672653 Henry Cohn, 2026, needs more optimization.
26 711 0.249778853715 Henry Cohn, 2026, needs more optimization.
26 712 0.249788555102 Henry Cohn, 2026, needs more optimization.
26 713 0.249798413290 Henry Cohn, 2026, needs more optimization.
26 714 0.249813905381 Henry Cohn, 2026, needs more optimization.
26 715 0.249828686648 Henry Cohn, 2026, needs more optimization.
26 716 0.249841049303 Henry Cohn, 2026, needs more optimization.
26 717 0.249854273427 Henry Cohn, 2026, needs more optimization.
26 718 0.249867895162 Henry Cohn, 2026, needs more optimization.
26 719 0.249885324522 Henry Cohn, 2026, needs more optimization.
26 720 0.249901089524 Henry Cohn, 2026, needs more optimization.
26 721 0.249910803146 Henry Cohn, 2026, needs more optimization.
26 722 0.249926690878 Henry Cohn, 2026, needs more optimization.
26 723 0.249939616645 Henry Cohn, 2026, needs more optimization.
26 903 0.25 Orthogonal union of 891 points in 22 dimensions and 12 points in 4 dimensions.
4⁢x−1
26 905 0.250024874545 Henry Cohn, 2026, needs more optimization.
26 907 0.250026829665 Henry Cohn, 2026, needs more optimization.
26 908 0.250028095909 Henry Cohn, 2026, needs more optimization.
26 909 0.250028405838 Henry Cohn, 2026, needs more optimization.
26 911 0.250032868875 Henry Cohn, 2026, needs more optimization.
26 912 0.250035704417 Henry Cohn, 2026, needs more optimization.
26 913 0.250038851114 Henry Cohn, 2026, needs more optimization.
26 914 0.250045746829 Henry Cohn, 2026, needs more optimization.
26 915 0.250055530548 Henry Cohn, 2026, needs more optimization.
26 917 0.250060920463 Henry Cohn, 2026, needs more optimization.
26 919 0.250078002603 Henry Cohn, 2026, needs more optimization.
26 920 0.250078052920 Henry Cohn, 2026, needs more optimization.
26 921 0.250080369764 Henry Cohn, 2026, needs more optimization.
26 922 0.250083025662 Henry Cohn, 2026, needs more optimization.
26 923 0.250097698431 Henry Cohn, 2026, needs more optimization.
26 924 0.250103148778 Henry Cohn, 2026, needs more optimization.
26 927 0.250117385527 Henry Cohn, 2026, needs more optimization.
26 928 0.250119874664 Henry Cohn, 2026, needs more optimization.
26 930 0.250184364358 Henry Cohn, 2026, needs more optimization.
26 932 0.250226029270 Henry Cohn, 2026, needs more optimization.
26 933 0.250263785397 Henry Cohn, 2026, needs more optimization.
26 934 0.250272199915 Henry Cohn, 2026, needs more optimization.
26 937 0.250272569047 Henry Cohn, 2026, needs more optimization.
26 938 0.250369847641 Henry Cohn, 2026, needs more optimization.
26 939 0.250467600218 Henry Cohn, 2026, needs more optimization.
26 940 0.250512580754 Henry Cohn, 2026, needs more optimization.
26 941 0.250793758265 Henry Cohn, 2026, needs more optimization.
26 942 0.251018968664 Henry Cohn, 2026, needs more optimization.
26 943 0.251215064633 Henry Cohn, 2026, needs more optimization.
26 944 0.251461254344 Henry Cohn, 2026, needs more optimization.
26 945 0.251761998185 Henry Cohn, 2026, needs more optimization.
26 946 0.252057839858 Henry Cohn, 2026, needs more optimization.
26 947 0.252353750299 Henry Cohn, 2026, needs more optimization.
26 948 0.252628729389 Henry Cohn, 2026, needs more optimization.
26 949 0.253191364885 Henry Cohn, 2026, needs more optimization.
26 950 0.253297604474 Henry Cohn, 2026, needs more optimization.
26 951 0.253651350392 Henry Cohn, 2026, needs more optimization.
26 952 0.254201540067 Henry Cohn, 2026, needs more optimization.
26 953 0.254348939381 Henry Cohn, 2026, needs more optimization.
26 954 0.254865576190 Henry Cohn, 2026, needs more optimization.
26 955 0.255224297242 Henry Cohn, 2026, needs more optimization.
26 956 0.255701175802 Henry Cohn, 2026, needs more optimization.
26 957 0.256075642843 Henry Cohn, 2026, needs more optimization.
26 958 0.256283430197 Henry Cohn, 2026, needs more optimization.
26 959 0.256693084313 Henry Cohn, 2026, needs more optimization.
26 960 0.257212698188 Henry Cohn, 2026, needs more optimization.
26 961 0.257261591936 Henry Cohn, 2026, needs more optimization.
26 962 0.257757055612 Henry Cohn, 2026, needs more optimization.
26 963 0.258282578482 Henry Cohn, 2026, needs more optimization.
26 964 0.258569497908 Henry Cohn, 2026, needs more optimization.
26 965 0.258809323712 Henry Cohn, 2026, needs more optimization.
26 966 0.259081942084 Henry Cohn, 2026, needs more optimization.
26 967 0.259563936793 Henry Cohn, 2026, needs more optimization.
26 968 0.259706452360 Henry Cohn, 2026, needs more optimization.
26 970 0.260218958562 Henry Cohn, 2026, needs more optimization.
26 971 0.260757648723 Henry Cohn, 2026, needs more optimization.
26 972 0.261280109307 Henry Cohn, 2026, needs more optimization.
26 973 0.261446712470 Henry Cohn, 2026, needs more optimization.
26 974 0.261873989293 Henry Cohn, 2026, needs more optimization.
26 975 0.262218252038 Henry Cohn, 2026, needs more optimization.
26 976 0.262837943545 Henry Cohn, 2026, needs more optimization.
26 977 0.263113210719 Henry Cohn, 2026, needs more optimization.
26 978 0.263537662359 Henry Cohn, 2026, needs more optimization.
26 979 0.263691854553 Henry Cohn, 2026, needs more optimization.
26 980 0.263846977687 Henry Cohn, 2026, needs more optimization.
26 981 0.264562220672 Henry Cohn, 2026, needs more optimization.
26 982 0.265141755726 Henry Cohn, 2026, needs more optimization.
26 983 0.265502567847 Henry Cohn, 2026, needs more optimization.
26 984 0.265748401146 Henry Cohn, 2026, needs more optimization.
26 985 0.266079634328 Henry Cohn, 2026, needs more optimization.
26 986 0.266343838033 Henry Cohn, 2026, needs more optimization.
26 987 0.266380367927 Henry Cohn, 2026, needs more optimization.
26 988 0.266702726400 Henry Cohn, 2026, needs more optimization.
26 989 0.266930847847 Henry Cohn, 2026, needs more optimization.
26 990 0.267312200460 Henry Cohn, 2026, needs more optimization.
26 991 0.267414104768 Henry Cohn, 2026, needs more optimization.
26 993 0.267804681442 Henry Cohn, 2026, needs more optimization.
26 994 0.268053506841 Henry Cohn, 2026, needs more optimization.
26 995 0.268168520247 Henry Cohn, 2026, needs more optimization.
26 996 0.268322496225 Henry Cohn, 2026, needs more optimization.
26 997 0.268652976067 Henry Cohn, 2026, needs more optimization.
26 998 0.268946330839 Henry Cohn, 2026, needs more optimization.
26 999 0.269536343366 Henry Cohn, 2026, needs more optimization.
26 1000 0.269536354359 Henry Cohn, 2026, needs more optimization.
26 1002 0.270037028982 Henry Cohn, 2026, needs more optimization.
26 1003 0.270443296221 Henry Cohn, 2026, needs more optimization.
26 1005 0.270779422337 Henry Cohn, 2026, needs more optimization.
26 1006 0.271238350944 Henry Cohn, 2026, needs more optimization.
26 1008 0.271352542975 Henry Cohn, 2026, needs more optimization.
26 1009 0.271651694858 Henry Cohn, 2026, needs more optimization.
26 1010 0.271890766611 Henry Cohn, 2026, needs more optimization.
26 1011 0.272080756942 Henry Cohn, 2026, needs more optimization.
26 1024 0.272727272728 Code with 1024 points in 22 dimensions.
11⁢x−3
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 0.034511432831 Henry Cohn, 2024.
27 58 0.039896885941 Henry Cohn, 2026, needs more optimization.
27 59 0.039967796543 Henry Cohn, 2026.
27 60 0.044786719472 Henry Cohn, 2026, needs more optimization.
27 61 0.045484192884 Henry Cohn, 2026.
27 62 0.046198040189 Henry Cohn, 2025.
27 63 0.047652441689 Henry Cohn, 2026.
27 64 0.050067815256 Henry Cohn, 2026.
27 65 0.054259436682 Henry Cohn, 2026, needs more optimization.
27 66 0.056203241518 Henry Cohn, 2026, needs more optimization.
27 67 0.058358030299 Henry Cohn, 2026, needs more optimization.
27 68 0.060150459250 Henry Cohn, 2026.
27 69 0.061646691897 Henry Cohn, 2026.
27 70 0.062922671881 Henry Cohn, 2026, needs more optimization.
27 71 0.064107549661 Henry Cohn, 2026, needs more optimization.
27 72 0.064938703542 Henry Cohn, 2026, needs more optimization.
27 73 0.065805540557 Henry Cohn, 2026, needs more optimization.
27 74 0.066308366331 Henry Cohn, 2026, needs more optimization.
27 75 0.067944284039 Henry Cohn, 2026, needs more optimization.
27 76 0.069937587917 Henry Cohn, 2026, needs more optimization.
27 77 0.072325860001 Henry Cohn, 2026, needs more optimization.
27 78 0.074624795263 Henry Cohn, 2026, needs more optimization.
27 79 0.075331327006 Henry Cohn, 2026, needs more optimization.
27 80 0.076122276896 Henry Cohn, 2026, needs more optimization.
27 81 0.076640246708 Henry Cohn, 2026, needs more optimization.
27 82 0.076893836816 Henry Cohn, 2026, needs more optimization.
27 83 0.076908998860 Henry Cohn, 2026, needs more optimization.
27 84 0.077005220886 Henry Cohn, 2026, needs more optimization.
27 85 0.077375337738 Henry Cohn, 2026, needs more optimization.
27 86 0.077583325154 Henry Cohn, 2026, needs more optimization.
27 87 0.078410323077 Henry Cohn, 2026, needs more optimization.
27 88 0.078632181564 Henry Cohn, 2026, needs more optimization.
27 89 0.079086756261 Henry Cohn, 2026, needs more optimization.
27 90 0.079553023682 Henry Cohn, 2026, needs more optimization.
27 91 0.080270744374 Henry Cohn, 2026, needs more optimization.
27 92 0.080397348706 Henry Cohn, 2026, needs more optimization.
27 93 0.080671661896 Henry Cohn, 2026, needs more optimization.
27 94 0.080682780934 Henry Cohn, 2026, needs more optimization.
27 95 0.080684833766 Henry Cohn, 2026, needs more optimization.
27 96 0.080685003328 Orthogonal union of 94 points in 26 dimensions and 2 points in 1 dimension.
575⁢x2−34⁢x−1
27 97 0.080685564128 Henry Cohn, 2026, needs more optimization.
27 98 0.080685608415 Henry Cohn, 2026, needs more optimization.
27 99 0.084158666674 Henry Cohn, 2026, needs more optimization.
27 100 0.086593018470 Henry Cohn, 2026, needs more optimization.
27 101 0.088590539850 Henry Cohn, 2026, needs more optimization.
27 102 0.089494446856 Henry Cohn, 2026, needs more optimization.
27 103 0.089776459760 Henry Cohn, 2026, needs more optimization.
27 104 0.089999203474 Henry Cohn, 2026, needs more optimization.
27 105 0.090247516948 Henry Cohn, 2026, needs more optimization.
27 106 0.090283952777 Henry Cohn, 2026, needs more optimization.
27 107 0.090522581532 Henry Cohn, 2026, needs more optimization.
27 108 0.090586419301 Henry Cohn, 2026, needs more optimization.
27 110 0.090642434465 Henry Cohn, 2026, needs more optimization.
27 111 0.090770333688 Henry Cohn, 2026, needs more optimization.
27 112 0.090862857273 Henry Cohn, 2026, needs more optimization.
27 113 0.090892295771 Henry Cohn, 2026, needs more optimization.
27 114 0.091267469033 Henry Cohn, 2026, needs more optimization.
27 115 0.092925161070 Henry Cohn, 2026, needs more optimization.
27 116 0.095573310229 Henry Cohn, 2026, needs more optimization.
27 117 0.098515838691 Henry Cohn, 2026, needs more optimization.
27 118 0.100950538471 Henry Cohn, 2026, needs more optimization.
27 119 0.102972750465 Henry Cohn, 2026, needs more optimization.
27 120 0.103038125871 Henry Cohn, 2026, needs more optimization.
27 121 0.103085747826 Henry Cohn, 2026, needs more optimization.
27 122 0.103118924093 Henry Cohn, 2026, needs more optimization.
27 125 0.103125332574 Henry Cohn, 2026, needs more optimization.
27 126 0.104326262360 Henry Cohn, 2026, needs more optimization.
27 127 0.105170975896 Henry Cohn, 2026, needs more optimization.
27 128 0.105911650517 Henry Cohn, 2026, needs more optimization.
27 129 0.107239769119 Henry Cohn, 2026, needs more optimization.
27 130 0.107692321546 Henry Cohn, 2026, needs more optimization.
27 131 0.108500147284 Henry Cohn, 2026, needs more optimization.
27 132 0.109607612802 Henry Cohn, 2026, needs more optimization.
27 133 0.110568605597 Henry Cohn, 2026, needs more optimization.
27 134 0.111008829165 Henry Cohn, 2026, needs more optimization.
27 135 0.111016810632 Henry Cohn, 2026, needs more optimization.
27 136 0.111391902495 Henry Cohn, 2026, needs more optimization.
27 137 0.112893701195 Henry Cohn, 2026, needs more optimization.
27 138 0.114332989865 Henry Cohn, 2026, needs more optimization.
27 139 0.114844540933 Henry Cohn, 2026, needs more optimization.
27 140 0.115321295492 Henry Cohn, 2026, needs more optimization.
27 141 0.116317727166 Henry Cohn, 2026, needs more optimization.
27 142 0.117414270985 Henry Cohn, 2026, needs more optimization.
27 143 0.119152801761 Henry Cohn, 2026, needs more optimization.
27 144 0.121001689455 Henry Cohn, 2026, needs more optimization.
27 145 0.123136128144 Henry Cohn, 2026, needs more optimization.
27 146 0.125354279902 Henry Cohn, 2026, needs more optimization.
27 147 0.127237443095 Henry Cohn, 2026, needs more optimization.
27 148 0.128556753119 Henry Cohn, 2026, needs more optimization.
27 149 0.129948575621 Henry Cohn, 2026, needs more optimization.
27 150 0.131298622173 Henry Cohn, 2026, needs more optimization.
27 151 0.131425924069 Henry Cohn, 2026, needs more optimization.
27 152 0.131644731511 Henry Cohn, 2026, needs more optimization.
27 153 0.131790742776 Henry Cohn, 2026, needs more optimization.
27 154 0.132023292054 Henry Cohn, 2026, needs more optimization.
27 155 0.132144610844 Henry Cohn, 2026, needs more optimization.
27 156 0.132209290823 Henry Cohn, 2026, needs more optimization.
27 157 0.132536431030 Henry Cohn, 2026, needs more optimization.
27 158 0.132746267132 Henry Cohn, 2026, needs more optimization.
27 159 0.133002630343 Henry Cohn, 2026, needs more optimization.
27 160 0.133268784558 Henry Cohn, 2026, needs more optimization.
27 161 0.133303030777 Henry Cohn, 2026, needs more optimization.
27 162 0.133316675326 Henry Cohn, 2026, needs more optimization.
27 163 0.133332000987 Henry Cohn, 2026, needs more optimization.
27 164 0.133483398338 Henry Cohn, 2026, needs more optimization.
27 165 0.135025550763 Henry Cohn, 2026, needs more optimization.
27 166 0.135028963662 Henry Cohn, 2026, needs more optimization.
27 167 0.135116224960 Henry Cohn, 2026, needs more optimization.
27 168 0.135132255931 Henry Cohn, 2026, needs more optimization.
27 169 0.135254176827 Henry Cohn, 2026, needs more optimization.
27 170 0.135784098285 Henry Cohn, 2026, needs more optimization.
27 171 0.136292531858 Henry Cohn, 2026, needs more optimization.
27 172 0.137281177774 Henry Cohn, 2026, needs more optimization.
27 173 0.138904481187 Henry Cohn, 2026, needs more optimization.
27 174 0.139555738541 Henry Cohn, 2026, needs more optimization.
27 175 0.140952152383 Henry Cohn, 2026, needs more optimization.
27 176 0.142253296489 Henry Cohn, 2026, needs more optimization.
27 177 0.142309509803 Henry Cohn, 2026, needs more optimization.
27 178 0.142470587785 Henry Cohn, 2026, needs more optimization.
27 179 0.142473625113 Henry Cohn, 2026, needs more optimization.
27 180 0.142530425019 Henry Cohn, 2026, needs more optimization.
27 181 0.142568680520 Henry Cohn, 2026, needs more optimization.
27 182 0.142585017735 Henry Cohn, 2026, needs more optimization.
27 183 0.142587860058 Henry Cohn, 2026, needs more optimization.
27 184 0.142711383698 Henry Cohn, 2026, needs more optimization.
27 185 0.142729113975 Henry Cohn, 2026, needs more optimization.
27 190 0.142764414424 Henry Cohn, 2026, needs more optimization.
27 191 0.142841118388 Henry Cohn, 2026, needs more optimization.
27 192 0.142974716721 Henry Cohn, 2026, needs more optimization.
27 193 0.142979721026 Henry Cohn, 2026, needs more optimization.
27 194 0.143908234799 Henry Cohn, 2026, needs more optimization.
27 195 0.144426448550 Henry Cohn, 2026, needs more optimization.
27 199 0.145795008388 Henry Cohn, 2026, needs more optimization.
27 200 0.146180971495 Henry Cohn, 2026, needs more optimization.
27 201 0.146275550317 Henry Cohn, 2026, needs more optimization.
27 202 0.146603850459 Henry Cohn, 2026, needs more optimization.
27 203 0.146692109350 Henry Cohn, 2026, needs more optimization.
27 204 0.147106106895 Henry Cohn, 2026, needs more optimization.
27 205 0.147172838572 Henry Cohn, 2026, needs more optimization.
27 207 0.147328515086 Henry Cohn, 2026, needs more optimization.
27 212 0.147451744625 Henry Cohn, 2026, needs more optimization.
27 215 0.147651517511 Henry Cohn, 2026, needs more optimization.
27 216 0.148181162289 Henry Cohn, 2026, needs more optimization.
27 218 0.149004317260 Henry Cohn, 2026, needs more optimization.
27 220 0.149993452793 Henry Cohn, 2026, needs more optimization.
27 229 0.150046745562 Henry Cohn, 2026, needs more optimization.
27 230 0.150319570360 Henry Cohn, 2026, needs more optimization.
27 231 0.150371611154 Henry Cohn, 2026, needs more optimization.
27 232 0.150916603879 Henry Cohn, 2026, needs more optimization.
27 233 0.151607004936 Henry Cohn, 2026, needs more optimization.
27 234 0.152313304899 Henry Cohn, 2026, needs more optimization.
27 235 0.152600673412 Henry Cohn, 2026, needs more optimization.
27 236 0.153641786440 Henry Cohn, 2026, needs more optimization.
27 237 0.155774124956 Henry Cohn, 2026, needs more optimization.
27 238 0.157682787712 Henry Cohn, 2026, needs more optimization.
27 239 0.157708189879 Henry Cohn, 2026, needs more optimization.
27 240 0.158836014285 Henry Cohn, 2026, needs more optimization.
27 241 0.159827406154 Henry Cohn, 2026, needs more optimization.
27 242 0.160383969133 Henry Cohn, 2026, needs more optimization.
27 243 0.161434145390 Henry Cohn, 2026, needs more optimization.
27 244 0.162277919249 Henry Cohn, 2026, needs more optimization.
27 245 0.162337913931 Henry Cohn, 2026, needs more optimization.
27 246 0.162561979364 Henry Cohn, 2026, needs more optimization.
27 247 0.162691907955 Henry Cohn, 2026, needs more optimization.
27 248 0.162748606288 Henry Cohn, 2026, needs more optimization.
27 249 0.162914139432 Henry Cohn, 2026, needs more optimization.
27 250 0.163025141670 Henry Cohn, 2026, needs more optimization.
27 251 0.163660654737 Henry Cohn, 2026, needs more optimization.
27 252 0.163924826860 Henry Cohn, 2026, needs more optimization.
27 253 0.164154711960 Henry Cohn, 2026, needs more optimization.
27 254 0.164220334109 Henry Cohn, 2026, needs more optimization.
27 255 0.164518062709 Henry Cohn, 2026, needs more optimization.
27 256 0.164656036585 Henry Cohn, 2026, needs more optimization.
27 257 0.164864723656 Henry Cohn, 2026, needs more optimization.
27 258 0.165051965290 Henry Cohn, 2026, needs more optimization.
27 259 0.165169210296 Henry Cohn, 2026, needs more optimization.
27 260 0.165310086276 Henry Cohn, 2026, needs more optimization.
27 261 0.165462787344 Henry Cohn, 2026, needs more optimization.
27 262 0.165557258153 Henry Cohn, 2026, needs more optimization.
27 263 0.165648574755 Henry Cohn, 2026, needs more optimization.
27 264 0.165832525086 Henry Cohn, 2026, needs more optimization.
27 265 0.165868468054 Henry Cohn, 2026, needs more optimization.
27 266 0.165905617747 Henry Cohn, 2026, needs more optimization.
27 267 0.165983970820 Henry Cohn, 2026, needs more optimization.
27 268 0.166022959362 Henry Cohn, 2026, needs more optimization.
27 269 0.166126902908 Henry Cohn, 2026, needs more optimization.
27 270 0.166219367236 Henry Cohn, 2026, needs more optimization.
27 271 0.166328202915 Henry Cohn, 2026, needs more optimization.
27 272 0.166398433105 Henry Cohn, 2026, needs more optimization.
27 273 0.166448537594 Henry Cohn, 2026, needs more optimization.
27 274 0.166491850202 Henry Cohn, 2026, needs more optimization.
27 275 0.166518780646 Henry Cohn, 2026, needs more optimization.
27 276 0.166573304326 Henry Cohn, 2026, needs more optimization.
27 277 0.166588109790 Henry Cohn, 2026, needs more optimization.
27 278 0.166598494895 Henry Cohn, 2026, needs more optimization.
27 279 0.166620580599 Henry Cohn, 2026, needs more optimization.
27 280 0.166642707960 Henry Cohn, 2026, needs more optimization.
27 281 0.166647435442 Henry Cohn, 2026, needs more optimization.
27 288 0.166666666667 Orthogonal union of 278 points in 23 dimensions and 10 points in 4 dimensions.
6⁢x−1
27 289 0.166666872444 Orthogonal union of 287 points in 26 dimensions and 2 points in 1 dimension.
27 290 0.166671499881 Henry Cohn, 2026, needs more optimization.
27 291 0.166671645960 Henry Cohn, 2026, needs more optimization.
27 292 0.166671724368 Henry Cohn, 2026, needs more optimization.
27 293 0.166671776418 Henry Cohn, 2026, needs more optimization.
27 294 0.166671834608 Henry Cohn, 2026, needs more optimization.
27 295 0.166671888896 Henry Cohn, 2026, needs more optimization.
27 296 0.166671936751 Henry Cohn, 2026, needs more optimization.
27 297 0.166671983333 Henry Cohn, 2026, needs more optimization.
27 298 0.166672031331 Henry Cohn, 2026, needs more optimization.
27 299 0.166672108598 Henry Cohn, 2026, needs more optimization.
27 300 0.166672116619 Henry Cohn, 2026, needs more optimization.
27 301 0.166672305128 Henry Cohn, 2026, needs more optimization.
27 302 0.166673239616 Henry Cohn, 2026, needs more optimization.
27 303 0.166675740875 Henry Cohn, 2026, needs more optimization.
27 304 0.166712265309 Henry Cohn, 2026, needs more optimization.
27 305 0.166795063678 Henry Cohn, 2026, needs more optimization.
27 306 0.167097155878 Henry Cohn, 2026, needs more optimization.
27 307 0.167321483573 Henry Cohn, 2026, needs more optimization.
27 308 0.168268237874 Henry Cohn, 2026, needs more optimization.
27 309 0.169449278582 Henry Cohn, 2026, needs more optimization.
27 310 0.170477388588 Henry Cohn, 2026, needs more optimization.
27 311 0.171699219653 Henry Cohn, 2026, needs more optimization.
27 312 0.172866238547 Henry Cohn, 2026, needs more optimization.
27 313 0.173889772489 Henry Cohn, 2026, needs more optimization.
27 314 0.174732236718 Henry Cohn, 2026, needs more optimization.
27 315 0.176052360626 Henry Cohn, 2026, needs more optimization.
27 316 0.177436296490 Henry Cohn, 2026, needs more optimization.
27 317 0.178221430468 Henry Cohn, 2026, needs more optimization.
27 318 0.179119541949 Henry Cohn, 2026, needs more optimization.
27 319 0.179867713793 Henry Cohn, 2026, needs more optimization.
27 320 0.180776668804 Henry Cohn, 2026, needs more optimization.
27 321 0.181096994825 Henry Cohn, 2026, needs more optimization.
27 322 0.181267309631 Henry Cohn, 2026, needs more optimization.
27 323 0.181303854530 Henry Cohn, 2026, needs more optimization.
27 324 0.181366895621 Henry Cohn, 2026, needs more optimization.
27 325 0.181485928145 Henry Cohn, 2026, needs more optimization.
27 326 0.181562085206 Henry Cohn, 2026, needs more optimization.
27 327 0.181613235570 Henry Cohn, 2026, needs more optimization.
27 328 0.181623279145 Henry Cohn, 2026, needs more optimization.
27 329 0.181730539595 Henry Cohn, 2026, needs more optimization.
27 330 0.181765392489 Henry Cohn, 2026, needs more optimization.
27 331 0.181779994944 Henry Cohn, 2026, needs more optimization.
27 332 0.181800875175 Henry Cohn, 2026, needs more optimization.
27 333 0.181825567470 Henry Cohn, 2026, needs more optimization.
27 334 0.181830815221 Henry Cohn, 2026, needs more optimization.
27 335 0.181831566512 Henry Cohn, 2026, needs more optimization.
27 336 0.181837615848 Henry Cohn, 2026, needs more optimization.
27 337 0.181857369392 Henry Cohn, 2026, needs more optimization.
27 338 0.181912873647 Henry Cohn, 2026, needs more optimization.
27 339 0.182029817252 Henry Cohn, 2026, needs more optimization.
27 340 0.182545020638 Henry Cohn, 2026, needs more optimization.
27 341 0.182842738188 Henry Cohn, 2026, needs more optimization.
27 342 0.183657968824 Henry Cohn, 2026, needs more optimization.
27 343 0.184180154835 Henry Cohn, 2026, needs more optimization.
27 344 0.184611067703 Henry Cohn, 2026, needs more optimization.
27 345 0.185616093625 Henry Cohn, 2026, needs more optimization.
27 346 0.186435764333 Henry Cohn, 2026, needs more optimization.
27 347 0.186714059480 Henry Cohn, 2026, needs more optimization.
27 348 0.187559104198 Henry Cohn, 2026, needs more optimization.
27 349 0.188162547451 Henry Cohn, 2026, needs more optimization.
27 350 0.188650567391 Henry Cohn, 2026, needs more optimization.
27 351 0.189389576818 Henry Cohn, 2026, needs more optimization.
27 352 0.190356951172 Henry Cohn, 2026, needs more optimization.
27 353 0.191056657053 Henry Cohn, 2026, needs more optimization.
27 354 0.191896598556 Henry Cohn, 2026, needs more optimization.
27 355 0.192753490579 Henry Cohn, 2026, needs more optimization.
27 356 0.193428656027 Henry Cohn, 2026, needs more optimization.
27 357 0.193904492754 Henry Cohn, 2026, needs more optimization.
27 358 0.193995966097 Henry Cohn, 2026, needs more optimization.
27 359 0.194096286467 Henry Cohn, 2026, needs more optimization.
27 360 0.194635641428 Henry Cohn, 2026, needs more optimization.
27 362 0.196038215940 Henry Cohn, 2026, needs more optimization.
27 363 0.196133492560 Henry Cohn, 2026, needs more optimization.
27 364 0.196303355373 Henry Cohn, 2026, needs more optimization.
27 365 0.196396925141 Henry Cohn, 2026, needs more optimization.
27 366 0.196502098796 Henry Cohn, 2026, needs more optimization.
27 367 0.196584306530 Henry Cohn, 2026, needs more optimization.
27 368 0.196618609655 Henry Cohn, 2026, needs more optimization.
27 369 0.196643484773 Henry Cohn, 2026, needs more optimization.
27 370 0.196728169077 Henry Cohn, 2026, needs more optimization.
27 371 0.196808846683 Henry Cohn, 2026, needs more optimization.
27 372 0.196943792119 Henry Cohn, 2026, needs more optimization.
27 373 0.197048662474 Henry Cohn, 2026, needs more optimization.
27 374 0.197125088102 Henry Cohn, 2026, needs more optimization.
27 375 0.197224700786 Henry Cohn, 2026, needs more optimization.
27 376 0.197357164378 Henry Cohn, 2026, needs more optimization.
27 377 0.197529271677 Henry Cohn, 2026, needs more optimization.
27 378 0.197655426100 Henry Cohn, 2026, needs more optimization.
27 379 0.197753690115 Henry Cohn, 2026, needs more optimization.
27 380 0.197890238828 Henry Cohn, 2026, needs more optimization.
27 381 0.197990833563 Henry Cohn, 2026, needs more optimization.
27 382 0.198054351236 Henry Cohn, 2026, needs more optimization.
27 383 0.198150406352 Henry Cohn, 2026, needs more optimization.
27 384 0.198181383388 Henry Cohn, 2026, needs more optimization.
27 385 0.198315451362 Henry Cohn, 2026, needs more optimization.
27 386 0.198408316739 Henry Cohn, 2026, needs more optimization.
27 387 0.198540066987 Henry Cohn, 2026, needs more optimization.
27 388 0.198607612902 Henry Cohn, 2026, needs more optimization.
27 389 0.198758367721 Henry Cohn, 2026, needs more optimization.
27 390 0.198841447322 Henry Cohn, 2026, needs more optimization.
27 391 0.198873359409 Henry Cohn, 2026, needs more optimization.
27 392 0.198907002186 Henry Cohn, 2026, needs more optimization.
27 393 0.198970690551 Henry Cohn, 2026, needs more optimization.
27 394 0.199029361943 Henry Cohn, 2026, needs more optimization.
27 395 0.199147661621 Henry Cohn, 2026, needs more optimization.
27 396 0.199198108456 Henry Cohn, 2026, needs more optimization.
27 397 0.199218293533 Henry Cohn, 2026, needs more optimization.
27 398 0.199265800698 Henry Cohn, 2026, needs more optimization.
27 399 0.199285882295 Henry Cohn, 2026, needs more optimization.
27 400 0.199309703474 Henry Cohn, 2026, needs more optimization.
27 401 0.199319022592 Henry Cohn, 2026, needs more optimization.
27 402 0.199348351447 Henry Cohn, 2026, needs more optimization.
27 403 0.199394247819 Henry Cohn, 2026, needs more optimization.
27 404 0.199427738665 Henry Cohn, 2026, needs more optimization.
27 405 0.199454538382 Henry Cohn, 2026, needs more optimization.
27 406 0.199482396170 Henry Cohn, 2026, needs more optimization.
27 407 0.199543022847 Henry Cohn, 2026, needs more optimization.
27 408 0.199571052739 Henry Cohn, 2026, needs more optimization.
27 409 0.199624811785 Henry Cohn, 2026, needs more optimization.
27 410 0.199649109985 Henry Cohn, 2026, needs more optimization.
27 411 0.199689408653 Henry Cohn, 2026, needs more optimization.
27 412 0.199739398034 Henry Cohn, 2026, needs more optimization.
27 413 0.199769513897 Henry Cohn, 2026, needs more optimization.
27 414 0.199798991645 Henry Cohn, 2026, needs more optimization.
27 415 0.199818668706 Henry Cohn, 2026, needs more optimization.
27 416 0.199820726756 Henry Cohn, 2026, needs more optimization.
27 417 0.199826830205 Henry Cohn, 2026, needs more optimization.
27 418 0.199864988796 Henry Cohn, 2026, needs more optimization.
27 419 0.199897638539 Henry Cohn, 2026, needs more optimization.
27 420 0.199909791221 Henry Cohn, 2026, needs more optimization.
27 421 0.199938982902 Henry Cohn, 2026, needs more optimization.
27 422 0.199942089601 Henry Cohn, 2026, needs more optimization.
27 423 0.199964635870 Henry Cohn, 2026, needs more optimization.
27 424 0.199988027053 Henry Cohn, 2026, needs more optimization.
27 425 0.199991018406 Henry Cohn, 2026, needs more optimization.
27 562 0.2 Orthogonal union of 552 points in 23 dimensions and 10 points in 4 dimensions.
5⁢x−1
27 568 0.200002867547 Henry Cohn, 2026, needs more optimization.
27 569 0.200002987991 Henry Cohn, 2026, needs more optimization.
27 570 0.200004383352 Henry Cohn, 2026, needs more optimization.
27 571 0.200019199177 Henry Cohn, 2026, needs more optimization.
27 572 0.200020878169 Henry Cohn, 2026, needs more optimization.
27 573 0.200023713519 Henry Cohn, 2026, needs more optimization.
27 574 0.200027625117 Henry Cohn, 2026, needs more optimization.
27 575 0.200031332285 Henry Cohn, 2026, needs more optimization.
27 576 0.200096846172 Henry Cohn, 2026, needs more optimization.
27 577 0.200131856511 Henry Cohn, 2026, needs more optimization.
27 578 0.200184358542 Henry Cohn, 2026, needs more optimization.
27 579 0.200231091158 Henry Cohn, 2026, needs more optimization.
27 580 0.200288829057 Henry Cohn, 2026, needs more optimization.
27 581 0.200438105964 Henry Cohn, 2026, needs more optimization.
27 582 0.201053482024 Henry Cohn, 2026, needs more optimization.
27 583 0.201530286946 Henry Cohn, 2026, needs more optimization.
27 584 0.202637270109 Henry Cohn, 2026, needs more optimization.
27 585 0.203250926314 Henry Cohn, 2026, needs more optimization.
27 586 0.204258974770 Henry Cohn, 2026, needs more optimization.
27 587 0.205780898121 Henry Cohn, 2026, needs more optimization.
27 588 0.206991975524 Henry Cohn, 2026, needs more optimization.
27 589 0.207795509019 Henry Cohn, 2026, needs more optimization.
27 590 0.209150890750 Henry Cohn, 2026, needs more optimization.
27 591 0.210321517231 Henry Cohn, 2026, needs more optimization.
27 592 0.210951537151 Henry Cohn, 2026, needs more optimization.
27 593 0.212093259417 Henry Cohn, 2026, needs more optimization.
27 594 0.212412021561 Henry Cohn, 2026, needs more optimization.
27 595 0.213526985487 Henry Cohn, 2026, needs more optimization.
27 596 0.214025627189 Henry Cohn, 2026, needs more optimization.
27 597 0.214541803518 Henry Cohn, 2026, needs more optimization.
27 598 0.215156327688 Henry Cohn, 2026, needs more optimization.
27 599 0.238099911706 Henry Cohn, 2026, needs more optimization.
27 600 0.238099924364 Henry Cohn, 2026, needs more optimization.
27 601 0.238100110545 Henry Cohn, 2026, needs more optimization.
27 602 0.238100383429 Henry Cohn, 2026, needs more optimization.
27 603 0.238100530719 Henry Cohn, 2026, needs more optimization.
27 604 0.238100925543 Henry Cohn, 2026, needs more optimization.
27 605 0.238101201762 Henry Cohn, 2026, needs more optimization.
27 606 0.238101329804 Henry Cohn, 2026, needs more optimization.
27 607 0.238101595779 Henry Cohn, 2026, needs more optimization.
27 608 0.238101928984 Henry Cohn, 2026, needs more optimization.
27 609 0.238102289327 Henry Cohn, 2026, needs more optimization.
27 610 0.238102553951 Henry Cohn, 2026, needs more optimization.
27 611 0.238103092240 Henry Cohn, 2026, needs more optimization.
27 612 0.238103204501 Henry Cohn, 2026, needs more optimization.
27 613 0.238103511456 Henry Cohn, 2026, needs more optimization.
27 614 0.238103846647 Henry Cohn, 2026, needs more optimization.
27 615 0.238104429170 Henry Cohn, 2026, needs more optimization.
27 616 0.238105453971 Henry Cohn, 2026, needs more optimization.
27 617 0.238105753106 Henry Cohn, 2026, needs more optimization.
27 618 0.238106668598 Henry Cohn, 2026, needs more optimization.
27 619 0.238107579845 Henry Cohn, 2026, needs more optimization.
27 620 0.238108455798 Henry Cohn, 2026, needs more optimization.
27 621 0.238108874749 Henry Cohn, 2026, needs more optimization.
27 622 0.238110141217 Henry Cohn, 2026, needs more optimization.
27 623 0.238111466171 Henry Cohn, 2026, needs more optimization.
27 624 0.238113337641 Henry Cohn, 2026, needs more optimization.
27 625 0.238114892801 Henry Cohn, 2026, needs more optimization.
27 626 0.238117092828 Henry Cohn, 2026, needs more optimization.
27 627 0.238120629447 Henry Cohn, 2026, needs more optimization.
27 628 0.238124640656 Henry Cohn, 2026, needs more optimization.
27 629 0.238128582986 Henry Cohn, 2026, needs more optimization.
27 630 0.238133653088 Henry Cohn, 2026, needs more optimization.
27 631 0.238137079112 Henry Cohn, 2026, needs more optimization.
27 632 0.238140534366 Henry Cohn, 2026, needs more optimization.
27 633 0.238147893955 Henry Cohn, 2026, needs more optimization.
27 634 0.238156836749 Henry Cohn, 2026, needs more optimization.
27 635 0.238162080579 Henry Cohn, 2026, needs more optimization.
27 636 0.238166762392 Henry Cohn, 2026, needs more optimization.
27 637 0.238172463079 Henry Cohn, 2026, needs more optimization.
27 638 0.238176559896 Henry Cohn, 2026, needs more optimization.
27 639 0.238179816137 Henry Cohn, 2026, needs more optimization.
27 640 0.238184836835 Henry Cohn, 2026, needs more optimization.
27 641 0.238345738315 Henry Cohn, 2026, needs more optimization.
27 642 0.238366281006 Henry Cohn, 2026, needs more optimization.
27 643 0.238378053580 Henry Cohn, 2026, needs more optimization.
27 644 0.238393988936 Henry Cohn, 2026, needs more optimization.
27 645 0.238408844518 Henry Cohn, 2026, needs more optimization.
27 646 0.238424664701 Henry Cohn, 2026, needs more optimization.
27 647 0.238441207681 Henry Cohn, 2026, needs more optimization.
27 648 0.238448166931 Henry Cohn, 2026, needs more optimization.
27 649 0.238734226018 Henry Cohn, 2026, needs more optimization.
27 650 0.238747875110 Henry Cohn, 2026, needs more optimization.
27 651 0.238883204283 Henry Cohn, 2026, needs more optimization.
27 652 0.239040186075 Henry Cohn, 2026, needs more optimization.
27 653 0.239310560210 Henry Cohn, 2026, needs more optimization.
27 654 0.239349856286 Henry Cohn, 2026, needs more optimization.
27 655 0.239365318541 Henry Cohn, 2026, needs more optimization.
27 656 0.239377514370 Henry Cohn, 2026, needs more optimization.
27 657 0.239598584474 Henry Cohn, 2026, needs more optimization.
27 658 0.239732479237 Henry Cohn, 2026, needs more optimization.
27 659 0.239770655685 Henry Cohn, 2026, needs more optimization.
27 660 0.240644584128 Henry Cohn, 2026, needs more optimization.
27 661 0.240698480281 Henry Cohn, 2026, needs more optimization.
27 662 0.240773181167 Henry Cohn, 2026, needs more optimization.
27 663 0.240895697766 Henry Cohn, 2026, needs more optimization.
27 664 0.241403584730 Henry Cohn, 2026, needs more optimization.
27 665 0.241490543625 Henry Cohn, 2026, needs more optimization.
27 666 0.241495256101 Henry Cohn, 2026, needs more optimization.
27 667 0.241500819143 Henry Cohn, 2026, needs more optimization.
27 668 0.241764729258 Henry Cohn, 2026, needs more optimization.
27 669 0.241780856975 Henry Cohn, 2026, needs more optimization.
27 670 0.241792222103 Henry Cohn, 2026, needs more optimization.
27 671 0.242612086965 Henry Cohn, 2026, needs more optimization.
27 672 0.243110622378 Henry Cohn, 2026, needs more optimization.
27 673 0.243113899206 Henry Cohn, 2026, needs more optimization.
27 674 0.243315951667 Henry Cohn, 2026, needs more optimization.
27 675 0.243378271481 Henry Cohn, 2026, needs more optimization.
27 676 0.243409049418 Henry Cohn, 2026, needs more optimization.
27 677 0.243423259759 Henry Cohn, 2026, needs more optimization.
27 678 0.243446256359 Henry Cohn, 2026, needs more optimization.
27 679 0.243800212967 Henry Cohn, 2026, needs more optimization.
27 680 0.243811752668 Henry Cohn, 2026, needs more optimization.
27 681 0.244779743781 Henry Cohn, 2026, needs more optimization.
27 682 0.245075748559 Henry Cohn, 2026, needs more optimization.
27 683 0.245115331543 Henry Cohn, 2026, needs more optimization.
27 684 0.245129930492 Henry Cohn, 2026, needs more optimization.
27 685 0.245385201602 Henry Cohn, 2026, needs more optimization.
27 686 0.245418866208 Henry Cohn, 2026, needs more optimization.
27 687 0.245562504795 Henry Cohn, 2026, needs more optimization.
27 688 0.245626678430 Henry Cohn, 2026, needs more optimization.
27 689 0.245845102446 Henry Cohn, 2026, needs more optimization.
27 690 0.245942316091 Henry Cohn, 2026, needs more optimization.
27 691 0.245967581427 Henry Cohn, 2026, needs more optimization.
27 692 0.246216968170 Henry Cohn, 2026, needs more optimization.
27 693 0.246220692062 Henry Cohn, 2026, needs more optimization.
27 694 0.246294309533 Henry Cohn, 2026, needs more optimization.
27 695 0.246308772625 Henry Cohn, 2026, needs more optimization.
27 696 0.246352271297 Henry Cohn, 2026, needs more optimization.
27 697 0.246369228167 Henry Cohn, 2026, needs more optimization.
27 698 0.246382142706 Henry Cohn, 2026, needs more optimization.
27 699 0.246396394501 Henry Cohn, 2026, needs more optimization.
27 700 0.246553717393 Henry Cohn, 2026, needs more optimization.
27 701 0.246696780119 Henry Cohn, 2026, needs more optimization.
27 702 0.246765872790 Henry Cohn, 2026, needs more optimization.
27 703 0.246965439613 Henry Cohn, 2026, needs more optimization.
27 704 0.246972416015 Henry Cohn, 2026, needs more optimization.
27 705 0.247027938847 Henry Cohn, 2026, needs more optimization.
27 706 0.247158946508 Henry Cohn, 2026, needs more optimization.
27 707 0.247235394553 Henry Cohn, 2026, needs more optimization.
27 708 0.247437923151 Henry Cohn, 2026, needs more optimization.
27 709 0.247516784152 Henry Cohn, 2026, needs more optimization.
27 710 0.247653186682 Henry Cohn, 2026, needs more optimization.
27 711 0.247811978843 Henry Cohn, 2026, needs more optimization.
27 712 0.247902721344 Henry Cohn, 2026, needs more optimization.
27 713 0.247965334230 Henry Cohn, 2026, needs more optimization.
27 714 0.248001784521 Henry Cohn, 2026, needs more optimization.
27 715 0.248067946810 Henry Cohn, 2026, needs more optimization.
27 716 0.248201404659 Henry Cohn, 2026, needs more optimization.
27 717 0.248230126835 Henry Cohn, 2026, needs more optimization.
27 718 0.248279100783 Henry Cohn, 2026, needs more optimization.
27 719 0.248309766359 Henry Cohn, 2026, needs more optimization.
27 720 0.248348538520 Henry Cohn, 2026, needs more optimization.
27 721 0.248417093457 Henry Cohn, 2026, needs more optimization.
27 722 0.248483043794 Henry Cohn, 2026, needs more optimization.
27 723 0.248491252005 Henry Cohn, 2026, needs more optimization.
27 724 0.248556413855 Henry Cohn, 2026, needs more optimization.
27 725 0.248626533541 Henry Cohn, 2026, needs more optimization.
27 726 0.248648961661 Henry Cohn, 2026, needs more optimization.
27 727 0.248693459003 Henry Cohn, 2026, needs more optimization.
27 728 0.248754407083 Henry Cohn, 2026, needs more optimization.
27 729 0.248777367856 Henry Cohn, 2026, needs more optimization.
27 730 0.248829992885 Henry Cohn, 2026, needs more optimization.
27 731 0.248929978731 Henry Cohn, 2026, needs more optimization.
27 732 0.248964994213 Henry Cohn, 2026, needs more optimization.
27 733 0.248996277647 Henry Cohn, 2026, needs more optimization.
27 734 0.249066235332 Henry Cohn, 2026, needs more optimization.
27 735 0.249139990268 Henry Cohn, 2026, needs more optimization.
27 736 0.249178014741 Henry Cohn, 2026, needs more optimization.
27 737 0.249224943987 Henry Cohn, 2026, needs more optimization.
27 738 0.249285065584 Henry Cohn, 2026, needs more optimization.
27 739 0.249308900844 Henry Cohn, 2026, needs more optimization.
27 740 0.249378635687 Henry Cohn, 2026, needs more optimization.
27 741 0.249412656683 Henry Cohn, 2026, needs more optimization.
27 742 0.249454375616 Henry Cohn, 2026, needs more optimization.
27 743 0.249494935072 Henry Cohn, 2026, needs more optimization.
27 744 0.249525899388 Henry Cohn, 2026, needs more optimization.
27 745 0.249537007914 Henry Cohn, 2026, needs more optimization.
27 746 0.249552622304 Henry Cohn, 2026, needs more optimization.
27 747 0.249591818332 Henry Cohn, 2026, needs more optimization.
27 748 0.249613664663 Henry Cohn, 2026, needs more optimization.
27 749 0.249624088353 Henry Cohn, 2026, needs more optimization.
27 750 0.249635682872 Henry Cohn, 2026, needs more optimization.
27 751 0.249676463673 Henry Cohn, 2026, needs more optimization.
27 752 0.249698582238 Henry Cohn, 2026, needs more optimization.
27 753 0.249707092304 Henry Cohn, 2026, needs more optimization.
27 754 0.249715678203 Henry Cohn, 2026, needs more optimization.
27 755 0.249759121511 Henry Cohn, 2026, needs more optimization.
27 756 0.249772433000 Henry Cohn, 2026, needs more optimization.
27 757 0.249781735008 Henry Cohn, 2026, needs more optimization.
27 758 0.249828737799 Henry Cohn, 2026, needs more optimization.
27 759 0.249837666754 Henry Cohn, 2026, needs more optimization.
27 760 0.249838633557 Henry Cohn, 2026, needs more optimization.
27 761 0.249843142608 Henry Cohn, 2026, needs more optimization.
27 762 0.249859274189 Henry Cohn, 2026, needs more optimization.
27 763 0.249869927618 Henry Cohn, 2026, needs more optimization.
27 764 0.249906916902 Henry Cohn, 2026, needs more optimization.
27 907 0.25 Orthogonal union of 891 points in 22 dimensions and 16 points in 5 dimensions.
4⁢x−1
27 908 0.250004158573 Henry Cohn, 2026, needs more optimization.
27 909 0.250009240338 Henry Cohn, 2026, needs more optimization.
27 911 0.250013201690 Henry Cohn, 2026, needs more optimization.
27 917 0.250016196402 Henry Cohn, 2026, needs more optimization.
27 918 0.250020436059 Henry Cohn, 2026, needs more optimization.
27 919 0.250020800465 Henry Cohn, 2026, needs more optimization.
27 922 0.250020857100 Henry Cohn, 2026, needs more optimization.
27 931 0.250022291542 Henry Cohn, 2026, needs more optimization.
27 933 0.250026422045 Henry Cohn, 2026, needs more optimization.
27 934 0.250034196339 Henry Cohn, 2026, needs more optimization.
27 935 0.250039180379 Henry Cohn, 2026, needs more optimization.
27 937 0.250043437048 Henry Cohn, 2026, needs more optimization.
27 941 0.250047752178 Henry Cohn, 2026, needs more optimization.
27 942 0.250057379603 Henry Cohn, 2026, needs more optimization.
27 943 0.250066985330 Henry Cohn, 2026, needs more optimization.
27 944 0.250078883714 Henry Cohn, 2026, needs more optimization.
27 945 0.250087964837 Henry Cohn, 2026, needs more optimization.
27 946 0.250292366563 Henry Cohn, 2026, needs more optimization.
27 947 0.250321924078 Henry Cohn, 2026, needs more optimization.
27 952 0.250495005013 Henry Cohn, 2026, needs more optimization.
27 954 0.250677415817 Henry Cohn, 2026, needs more optimization.
27 955 0.250688420111 Henry Cohn, 2026, needs more optimization.
27 956 0.250696016260 Henry Cohn, 2026, needs more optimization.
27 957 0.250841548682 Henry Cohn, 2026, needs more optimization.
27 963 0.250877775475 Henry Cohn, 2026, needs more optimization.
27 964 0.250909045646 Henry Cohn, 2026, needs more optimization.
27 965 0.250914737573 Henry Cohn, 2026, needs more optimization.
27 966 0.251388363347 Henry Cohn, 2026, needs more optimization.
27 967 0.251415649698 Henry Cohn, 2026, needs more optimization.
27 968 0.251818009445 Henry Cohn, 2026, needs more optimization.
27 969 0.252103490833 Henry Cohn, 2026, needs more optimization.
27 970 0.252280465414 Henry Cohn, 2026, needs more optimization.
27 971 0.252540837348 Henry Cohn, 2026, needs more optimization.
27 973 0.252894458494 Henry Cohn, 2026, needs more optimization.
27 975 0.253221948630 Henry Cohn, 2026, needs more optimization.
27 976 0.253499916046 Henry Cohn, 2026, needs more optimization.
27 978 0.254445053367 Henry Cohn, 2026, needs more optimization.
27 979 0.254870367604 Henry Cohn, 2026, needs more optimization.
27 981 0.255025575108 Henry Cohn, 2026, needs more optimization.
27 983 0.255691158083 Henry Cohn, 2026, needs more optimization.
27 984 0.255695190488 Henry Cohn, 2026, needs more optimization.
27 985 0.257652265209 Henry Cohn, 2026, needs more optimization.
27 987 0.257785430668 Henry Cohn, 2026, needs more optimization.
27 990 0.258242328780 Henry Cohn, 2026, needs more optimization.
27 991 0.259498729528 Henry Cohn, 2026, needs more optimization.
27 992 0.259811717937 Henry Cohn, 2026, needs more optimization.
27 993 0.260025912666 Henry Cohn, 2026, needs more optimization.
27 995 0.260769769317 Henry Cohn, 2026, needs more optimization.
27 1000 0.261188234687 Henry Cohn, 2026, needs more optimization.
27 1001 0.262428945357 Henry Cohn, 2026, needs more optimization.
27 1002 0.263111112389 Henry Cohn, 2026, needs more optimization.
27 1003 0.263246586063 Henry Cohn, 2026, needs more optimization.
27 1005 0.263594706495 Henry Cohn, 2026, needs more optimization.
27 1006 0.263701258769 Henry Cohn, 2026, needs more optimization.
27 1007 0.263953234981 Henry Cohn, 2026, needs more optimization.
27 1008 0.264152804831 Henry Cohn, 2026, needs more optimization.
27 1009 0.264527583476 Henry Cohn, 2026, needs more optimization.
27 1010 0.264603200621 Henry Cohn, 2026, needs more optimization.
27 1011 0.264815756685 Henry Cohn, 2026, needs more optimization.
27 1012 0.264864209063 Henry Cohn, 2026, needs more optimization.
27 1013 0.265087029497 Henry Cohn, 2026, needs more optimization.
27 1014 0.265261129042 Henry Cohn, 2026, needs more optimization.
27 1015 0.265645721393 Henry Cohn, 2026, needs more optimization.
27 1016 0.265978352389 Henry Cohn, 2026, needs more optimization.
27 1017 0.266270915128 Henry Cohn, 2026, needs more optimization.
27 1018 0.266374613582 Henry Cohn, 2026, needs more optimization.
27 1019 0.266593677539 Henry Cohn, 2026, needs more optimization.
27 1020 0.266873156622 Henry Cohn, 2026, needs more optimization.
27 1021 0.267075704241 Henry Cohn, 2026, needs more optimization.
27 1022 0.267288218321 Henry Cohn, 2026, needs more optimization.
27 1023 0.267591154852 Henry Cohn, 2026, needs more optimization.
27 1024 0.267991471031 Henry Cohn, 2026, needs more optimization.
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 0.039693085758 Henry Cohn, 2026, needs more optimization.
28 60 0.039721697123 Henry Cohn, 2026.
28 61 0.039748128111 Henry Cohn, 2026.
28 62 0.044169380974 Henry Cohn, 2026, needs more optimization.
28 63 0.045182094797 Henry Cohn, 2026.
28 64 0.045901657151 Henry Cohn, 2024, needs more optimization.
28 65 0.046144411319 Henry Cohn, 2026.
28 66 0.047459655815 Henry Cohn, 2026.
28 67 0.052249912377 Henry Cohn, 2026.
28 68 0.054257387201 Henry Cohn, 2026.
28 69 0.055901491979 Henry Cohn, 2026, needs more optimization.
28 70 0.058160876254 Henry Cohn, 2026, needs more optimization.
28 71 0.059586716587 Henry Cohn, 2026.
28 72 0.061336054837 Henry Cohn, 2026.
28 73 0.063218203873 Henry Cohn, 2026, needs more optimization.
28 74 0.063894406204 Henry Cohn, 2026, needs more optimization.
28 75 0.064460441326 Henry Cohn, 2026, needs more optimization.
28 76 0.064717246563 Henry Cohn, 2026, needs more optimization.
28 77 0.065929172376 Henry Cohn, 2026, needs more optimization.
28 78 0.067448950547 Henry Cohn, 2026, needs more optimization.
28 79 0.069484886893 Henry Cohn, 2026, needs more optimization.
28 80 0.070912616827 Henry Cohn, 2026, needs more optimization.
28 81 0.072768932746 Henry Cohn, 2026, needs more optimization.
28 82 0.074536648258 Henry Cohn, 2026, needs more optimization.
28 83 0.074851725552 Henry Cohn, 2026, needs more optimization.
28 84 0.075994545567 Henry Cohn, 2026, needs more optimization.
28 85 0.076726621965 Henry Cohn, 2026, needs more optimization.
28 86 0.076884536336 Henry Cohn, 2026, needs more optimization.
28 87 0.076915225643 Henry Cohn, 2026, needs more optimization.
28 88 0.076926953863 Henry Cohn, 2026, needs more optimization.
28 89 0.077241411225 Henry Cohn, 2026, needs more optimization.
28 90 0.077491331789 Henry Cohn, 2026, needs more optimization.
28 91 0.078294912508 Henry Cohn, 2026, needs more optimization.
28 92 0.078682987675 Henry Cohn, 2026, needs more optimization.
28 93 0.079255074433 Henry Cohn, 2026, needs more optimization.
28 94 0.079399738743 Henry Cohn, 2026, needs more optimization.
28 95 0.079800755375 Henry Cohn, 2026, needs more optimization.
28 96 0.080120780454 Henry Cohn, 2026, needs more optimization.
28 97 0.080283046040 Henry Cohn, 2026, needs more optimization.
28 98 0.080499425204 Henry Cohn, 2026, needs more optimization.
28 99 0.080634601073 Henry Cohn, 2026, needs more optimization.
28 100 0.080685071015 Henry Cohn, 2026, needs more optimization.
28 101 0.080685483983 Henry Cohn, 2026, needs more optimization.
28 102 0.080909495813 Henry Cohn, 2026, needs more optimization.
28 103 0.083873205562 Henry Cohn, 2026, needs more optimization.
28 104 0.086411710944 Henry Cohn, 2026, needs more optimization.
28 105 0.086937093772 Henry Cohn, 2026, needs more optimization.
28 106 0.088312417396 Henry Cohn, 2026, needs more optimization.
28 107 0.088694019055 Henry Cohn, 2026, needs more optimization.
28 108 0.089297942452 Henry Cohn, 2026, needs more optimization.
28 109 0.089568787549 Henry Cohn, 2026, needs more optimization.
28 111 0.089789685851 Henry Cohn, 2026, needs more optimization.
28 112 0.090107762631 Henry Cohn, 2026, needs more optimization.
28 113 0.090270049248 Henry Cohn, 2026, needs more optimization.
28 114 0.090595660522 Henry Cohn, 2026, needs more optimization.
28 115 0.090767280681 Henry Cohn, 2026, needs more optimization.
28 116 0.090841263838 Henry Cohn, 2026, needs more optimization.
28 117 0.090877261769 Henry Cohn, 2026, needs more optimization.
28 118 0.091675659471 Henry Cohn, 2026, needs more optimization.
28 119 0.093902842789 Henry Cohn, 2026, needs more optimization.
28 120 0.096046360922 Henry Cohn, 2026, needs more optimization.
28 121 0.098104137149 Henry Cohn, 2026, needs more optimization.
28 122 0.099654963974 Henry Cohn, 2026, needs more optimization.
28 123 0.101610959661 Henry Cohn, 2026, needs more optimization.
28 124 0.102568930612 Henry Cohn, 2026, needs more optimization.
28 125 0.102589862668 Henry Cohn, 2026, needs more optimization.
28 126 0.102923495257 Henry Cohn, 2026, needs more optimization.
28 127 0.102967324393 Henry Cohn, 2026, needs more optimization.
28 128 0.103052335798 Henry Cohn, 2026, needs more optimization.
28 129 0.103114200507 Henry Cohn, 2026, needs more optimization.
28 130 0.103122237634 Henry Cohn, 2026, needs more optimization.
28 131 0.104325720867 Henry Cohn, 2026, needs more optimization.
28 132 0.105436080590 Henry Cohn, 2026, needs more optimization.
28 133 0.106277189947 Henry Cohn, 2026, needs more optimization.
28 134 0.107855734270 Henry Cohn, 2026, needs more optimization.
28 135 0.108599885418 Henry Cohn, 2026, needs more optimization.
28 136 0.109183145757 Henry Cohn, 2026, needs more optimization.
28 137 0.109746829151 Henry Cohn, 2026, needs more optimization.
28 138 0.110885424220 Henry Cohn, 2026, needs more optimization.
28 139 0.110919553728 Henry Cohn, 2026, needs more optimization.
28 140 0.110993503394 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 0.119771707970 Henry Cohn, 2026, needs more optimization.
28 154 0.122975008775 Henry Cohn, 2026, needs more optimization.
28 155 0.125276014346 Henry Cohn, 2026, needs more optimization.
28 156 0.126322831901 Henry Cohn, 2026, needs more optimization.
28 157 0.127118914546 Henry Cohn, 2026, needs more optimization.
28 158 0.127742312159 Henry Cohn, 2026, needs more optimization.
28 159 0.128113945694 Henry Cohn, 2026, needs more optimization.
28 182 0.128238684469 Henry Cohn, 2026.
92⁢x2−4⁢x−1
28 183 0.130665724291 Henry Cohn, 2026.
28 184 0.141622119440 Henry Cohn, 2026, needs more optimization.
28 185 0.142183227048 Henry Cohn, 2026, needs more optimization.
28 186 0.142203229274 Henry Cohn, 2026, needs more optimization.
28 187 0.142213284404 Henry Cohn, 2026, needs more optimization.
28 188 0.142224624905 Henry Cohn, 2026, needs more optimization.
28 189 0.142271689658 Henry Cohn, 2026, needs more optimization.
28 190 0.142273904939 Henry Cohn, 2026, needs more optimization.
28 191 0.142277881644 Henry Cohn, 2026, needs more optimization.
28 192 0.142472884762 Henry Cohn, 2026, needs more optimization.
28 193 0.142520637296 Henry Cohn, 2026, needs more optimization.
28 194 0.142562496616 Henry Cohn, 2026, needs more optimization.
28 195 0.142632187016 Henry Cohn, 2026, needs more optimization.
28 196 0.142726121063 Henry Cohn, 2026, needs more optimization.
28 197 0.142773284598 Henry Cohn, 2026, needs more optimization.
28 198 0.142801847544 Henry Cohn, 2026, needs more optimization.
28 199 0.142881383419 Henry Cohn, 2026, needs more optimization.
28 200 0.143371737286 Henry Cohn, 2026, needs more optimization.
28 201 0.143698799415 Henry Cohn, 2026, needs more optimization.
28 202 0.144188611855 Henry Cohn, 2026, needs more optimization.
28 203 0.145069379356 Henry Cohn, 2026, needs more optimization.
28 204 0.145915089770 Henry Cohn, 2026, needs more optimization.
28 206 0.146122213906 Henry Cohn, 2026, needs more optimization.
28 207 0.146154896724 Henry Cohn, 2026, needs more optimization.
28 208 0.146228022749 Henry Cohn, 2026, needs more optimization.
28 209 0.146252742022 Henry Cohn, 2026, needs more optimization.
28 210 0.146356185344 Henry Cohn, 2026, needs more optimization.
28 211 0.146674572908 Henry Cohn, 2026, needs more optimization.
28 212 0.146932792527 Henry Cohn, 2026, needs more optimization.
28 213 0.147096742612 Henry Cohn, 2026, needs more optimization.
28 214 0.147150058725 Henry Cohn, 2026, needs more optimization.
28 215 0.147151177099 Henry Cohn, 2026, needs more optimization.
28 216 0.147165050102 Henry Cohn, 2026, needs more optimization.
28 217 0.147232819602 Henry Cohn, 2026, needs more optimization.
28 218 0.147360303943 Henry Cohn, 2026, needs more optimization.
28 220 0.147497077323 Henry Cohn, 2026, needs more optimization.
28 223 0.147717447560 Henry Cohn, 2026, needs more optimization.
28 224 0.147901123730 Henry Cohn, 2026, needs more optimization.
28 225 0.147926313859 Henry Cohn, 2026, needs more optimization.
28 228 0.147927675582 Henry Cohn, 2026, needs more optimization.
28 229 0.148237626900 Henry Cohn, 2026, needs more optimization.
28 230 0.149146824838 Henry Cohn, 2026, needs more optimization.
28 231 0.149167073821 Henry Cohn, 2026, needs more optimization.
28 232 0.149279898197 Henry Cohn, 2026, needs more optimization.
28 233 0.149317813276 Henry Cohn, 2026, needs more optimization.
28 234 0.149318610200 Henry Cohn, 2026, needs more optimization.
28 235 0.149321007059 Henry Cohn, 2026, needs more optimization.
28 236 0.149335062270 Henry Cohn, 2026, needs more optimization.
28 237 0.149335428370 Henry Cohn, 2026, needs more optimization.
28 238 0.149340226829 Henry Cohn, 2026, needs more optimization.
28 239 0.149509337937 Henry Cohn, 2026, needs more optimization.
28 240 0.150232336265 Henry Cohn, 2026, needs more optimization.
28 241 0.150640612621 Henry Cohn, 2026, needs more optimization.
28 242 0.151847336013 Henry Cohn, 2026, needs more optimization.
28 243 0.152695283251 Henry Cohn, 2026, needs more optimization.
28 244 0.154150548801 Henry Cohn, 2026, needs more optimization.
28 245 0.155350680631 Henry Cohn, 2026, needs more optimization.
28 246 0.156959152134 Henry Cohn, 2026, needs more optimization.
28 247 0.157035148163 Henry Cohn, 2026, needs more optimization.
28 248 0.157636632184 Henry Cohn, 2026, needs more optimization.
28 249 0.158610062492 Henry Cohn, 2026, needs more optimization.
28 250 0.160111875870 Henry Cohn, 2026, needs more optimization.
28 251 0.161300665529 Henry Cohn, 2026, needs more optimization.
28 252 0.162038688726 Henry Cohn, 2026, needs more optimization.
28 253 0.162057523724 Henry Cohn, 2026, needs more optimization.
28 254 0.162128002999 Henry Cohn, 2026, needs more optimization.
28 255 0.162162307036 Henry Cohn, 2026, needs more optimization.
28 256 0.162423178802 Henry Cohn, 2026, needs more optimization.
28 257 0.162665553039 Henry Cohn, 2026, needs more optimization.
28 258 0.162871904416 Henry Cohn, 2026, needs more optimization.
28 259 0.163037246843 Henry Cohn, 2026, needs more optimization.
28 260 0.163404737990 Henry Cohn, 2026, needs more optimization.
28 261 0.163587790111 Henry Cohn, 2026, needs more optimization.
28 262 0.163843057963 Henry Cohn, 2026, needs more optimization.
28 263 0.163943507149 Henry Cohn, 2026, needs more optimization.
28 264 0.164162792742 Henry Cohn, 2026, needs more optimization.
28 265 0.164350562895 Henry Cohn, 2026, needs more optimization.
28 266 0.164670629427 Henry Cohn, 2026, needs more optimization.
28 267 0.164750155202 Henry Cohn, 2026, needs more optimization.
28 268 0.164862627850 Henry Cohn, 2026, needs more optimization.
28 269 0.164966041393 Henry Cohn, 2026, needs more optimization.
28 270 0.165005191208 Henry Cohn, 2026, needs more optimization.
28 271 0.165077320246 Henry Cohn, 2026, needs more optimization.
28 272 0.165211568928 Henry Cohn, 2026, needs more optimization.
28 273 0.165293001168 Henry Cohn, 2026, needs more optimization.
28 274 0.165392122753 Henry Cohn, 2026, needs more optimization.
28 275 0.165410507196 Henry Cohn, 2026, needs more optimization.
28 276 0.165486789976 Henry Cohn, 2026, needs more optimization.
28 277 0.165506103600 Henry Cohn, 2026, needs more optimization.
28 278 0.165621142462 Henry Cohn, 2026, needs more optimization.
28 279 0.165676634065 Henry Cohn, 2026, needs more optimization.
28 280 0.165719883594 Henry Cohn, 2026, needs more optimization.
28 281 0.165726050810 Henry Cohn, 2026, needs more optimization.
28 282 0.165797686296 Henry Cohn, 2026, needs more optimization.
28 283 0.165888663426 Henry Cohn, 2026, needs more optimization.
28 284 0.165915622633 Henry Cohn, 2026, needs more optimization.
28 285 0.165979596667 Henry Cohn, 2026, needs more optimization.
28 286 0.166144862167 Henry Cohn, 2026, needs more optimization.
28 287 0.166249401219 Henry Cohn, 2026, needs more optimization.
28 288 0.166317838640 Henry Cohn, 2026, needs more optimization.
28 289 0.166382060004 Henry Cohn, 2026, needs more optimization.
28 290 0.166462269612 Henry Cohn, 2026, needs more optimization.
28 291 0.166474391769 Henry Cohn, 2026, needs more optimization.
28 292 0.166527162088 Henry Cohn, 2026, needs more optimization.
28 293 0.166530292052 Henry Cohn, 2026, needs more optimization.
28 294 0.166544616843 Henry Cohn, 2026, needs more optimization.
28 295 0.166567015477 Henry Cohn, 2026, needs more optimization.
28 296 0.166591300002 Henry Cohn, 2026, needs more optimization.
28 297 0.166594855267 Henry Cohn, 2026, needs more optimization.
28 298 0.166614452003 Henry Cohn, 2026, needs more optimization.
28 299 0.166620654516 Henry Cohn, 2026, needs more optimization.
28 300 0.166627311192 Henry Cohn, 2026, needs more optimization.
28 301 0.166636539221 Henry Cohn, 2026, needs more optimization.
28 302 0.166640686071 Henry Cohn, 2026, needs more optimization.
28 304 0.166665755940 Henry Cohn, 2026, needs more optimization.
28 305 0.166665768546 Henry Cohn, 2026, needs more optimization.
28 306 0.166665768679 Henry Cohn, 2026, needs more optimization.
28 307 0.166665834932 Henry Cohn, 2026, needs more optimization.
28 309 0.166668038357 Henry Cohn, 2026, needs more optimization.
28 310 0.166685600884 Henry Cohn, 2026, needs more optimization.
28 311 0.166687750551 Henry Cohn, 2026, needs more optimization.
28 312 0.166704514356 Henry Cohn, 2026, needs more optimization.
28 313 0.166738657226 Henry Cohn, 2026, needs more optimization.
28 314 0.167113551593 Henry Cohn, 2026, needs more optimization.
28 315 0.167177996160 Henry Cohn, 2026, needs more optimization.
28 316 0.167681928722 Henry Cohn, 2026, needs more optimization.
28 317 0.168024015701 Henry Cohn, 2026, needs more optimization.
28 318 0.168679721702 Henry Cohn, 2026, needs more optimization.
28 319 0.169615669603 Henry Cohn, 2026, needs more optimization.
28 320 0.170220895930 Henry Cohn, 2026, needs more optimization.
28 321 0.171505857337 Henry Cohn, 2026, needs more optimization.
28 322 0.172049872101 Henry Cohn, 2026, needs more optimization.
28 323 0.173075442398 Henry Cohn, 2026, needs more optimization.
28 324 0.173497462417 Henry Cohn, 2026, needs more optimization.
28 325 0.175167369967 Henry Cohn, 2026, needs more optimization.
28 326 0.175662580359 Henry Cohn, 2026, needs more optimization.
28 327 0.176283753024 Henry Cohn, 2026, needs more optimization.
28 328 0.177127480084 Henry Cohn, 2026, needs more optimization.
28 329 0.178582983178 Henry Cohn, 2026, needs more optimization.
28 330 0.178583354615 Henry Cohn, 2026, needs more optimization.
28 331 0.178583900023 Henry Cohn, 2026, needs more optimization.
28 332 0.178675036315 Henry Cohn, 2026, needs more optimization.
28 333 0.178904790871 Henry Cohn, 2026, needs more optimization.
28 334 0.178915727384 Henry Cohn, 2026, needs more optimization.
28 335 0.179579176476 Henry Cohn, 2026, needs more optimization.
28 336 0.180180542769 Henry Cohn, 2026, needs more optimization.
28 337 0.180184384966 Henry Cohn, 2026, needs more optimization.
28 338 0.180562273909 Henry Cohn, 2026, needs more optimization.
28 339 0.181592431290 Henry Cohn, 2026, needs more optimization.
28 340 0.181746225837 Henry Cohn, 2026, needs more optimization.
28 341 0.181758129254 Henry Cohn, 2026, needs more optimization.
28 342 0.181767961041 Henry Cohn, 2026, needs more optimization.
28 343 0.181787552914 Henry Cohn, 2026, needs more optimization.
28 344 0.181823608508 Henry Cohn, 2026, needs more optimization.
28 345 0.181829512330 Henry Cohn, 2026, needs more optimization.
28 346 0.181835547813 Henry Cohn, 2026, needs more optimization.
28 347 0.181839017755 Henry Cohn, 2026, needs more optimization.
28 348 0.181844629065 Henry Cohn, 2026, needs more optimization.
28 349 0.181873001958 Henry Cohn, 2026, needs more optimization.
28 350 0.181924914634 Henry Cohn, 2026, needs more optimization.
28 351 0.182200351732 Henry Cohn, 2026, needs more optimization.
28 352 0.182540296214 Henry Cohn, 2026, needs more optimization.
28 353 0.182715373711 Henry Cohn, 2026, needs more optimization.
28 354 0.183745377634 Henry Cohn, 2026, needs more optimization.
28 355 0.184447144392 Henry Cohn, 2026, needs more optimization.
28 356 0.185026265618 Henry Cohn, 2026, needs more optimization.
28 357 0.185220766878 Henry Cohn, 2026, needs more optimization.
28 358 0.185837466368 Henry Cohn, 2026, needs more optimization.
28 359 0.186449689688 Henry Cohn, 2026, needs more optimization.
28 360 0.186742257860 Henry Cohn, 2026, needs more optimization.
28 361 0.191709365891 Henry Cohn, 2026, needs more optimization.
28 362 0.192039637061 Henry Cohn, 2026, needs more optimization.
28 363 0.192345415156 Henry Cohn, 2026, needs more optimization.
28 364 0.192449480607 Henry Cohn, 2026, needs more optimization.
28 365 0.192525695691 Henry Cohn, 2026, needs more optimization.
28 366 0.192737902740 Henry Cohn, 2026, needs more optimization.
28 367 0.192928518354 Henry Cohn, 2026, needs more optimization.
28 368 0.193078543750 Henry Cohn, 2026, needs more optimization.
28 369 0.193316090228 Henry Cohn, 2026, needs more optimization.
28 370 0.193537040501 Henry Cohn, 2026, needs more optimization.
28 371 0.193831686449 Henry Cohn, 2026, needs more optimization.
28 372 0.193975529510 Henry Cohn, 2026, needs more optimization.
28 373 0.194120166291 Henry Cohn, 2026, needs more optimization.
28 374 0.194312280681 Henry Cohn, 2026, needs more optimization.
28 375 0.194491460998 Henry Cohn, 2026, needs more optimization.
28 376 0.194698460607 Henry Cohn, 2026, needs more optimization.
28 377 0.195002826132 Henry Cohn, 2026, needs more optimization.
28 378 0.195125731810 Henry Cohn, 2026, needs more optimization.
28 379 0.195217705527 Henry Cohn, 2026, needs more optimization.
28 380 0.195479865290 Henry Cohn, 2026, needs more optimization.
28 381 0.195703758343 Henry Cohn, 2026, needs more optimization.
28 382 0.195822381335 Henry Cohn, 2026, needs more optimization.
28 383 0.196014402231 Henry Cohn, 2026, needs more optimization.
28 384 0.196105153574 Henry Cohn, 2026, needs more optimization.
28 385 0.196265298501 Henry Cohn, 2026, needs more optimization.
28 386 0.196326107683 Henry Cohn, 2026, needs more optimization.
28 387 0.196471366165 Henry Cohn, 2026, needs more optimization.
28 388 0.196670335381 Henry Cohn, 2026, needs more optimization.
28 389 0.196816163440 Henry Cohn, 2026, needs more optimization.
28 390 0.196896613225 Henry Cohn, 2026, needs more optimization.
28 391 0.196942711320 Henry Cohn, 2026, needs more optimization.
28 392 0.197066608277 Henry Cohn, 2026, needs more optimization.
28 393 0.197197283785 Henry Cohn, 2026, needs more optimization.
28 394 0.197347922030 Henry Cohn, 2026, needs more optimization.
28 395 0.197493016777 Henry Cohn, 2026, needs more optimization.
28 396 0.197567630555 Henry Cohn, 2026, needs more optimization.
28 397 0.197593633826 Henry Cohn, 2026, needs more optimization.
28 398 0.197656262721 Henry Cohn, 2026, needs more optimization.
28 399 0.197724550435 Henry Cohn, 2026, needs more optimization.
28 400 0.197846458909 Henry Cohn, 2026, needs more optimization.
28 401 0.197900785280 Henry Cohn, 2026, needs more optimization.
28 402 0.198016121688 Henry Cohn, 2026, needs more optimization.
28 403 0.198133640171 Henry Cohn, 2026, needs more optimization.
28 404 0.198206624025 Henry Cohn, 2026, needs more optimization.
28 405 0.198264697629 Henry Cohn, 2026, needs more optimization.
28 406 0.198317473157 Henry Cohn, 2026, needs more optimization.
28 407 0.198364081307 Henry Cohn, 2026, needs more optimization.
28 408 0.198524864721 Henry Cohn, 2026, needs more optimization.
28 409 0.198675743195 Henry Cohn, 2026, needs more optimization.
28 410 0.198721496681 Henry Cohn, 2026, needs more optimization.
28 411 0.198726445986 Henry Cohn, 2026, needs more optimization.
28 412 0.198729337459 Henry Cohn, 2026, needs more optimization.
28 413 0.198781051060 Henry Cohn, 2026, needs more optimization.
28 414 0.198844560396 Henry Cohn, 2026, needs more optimization.
28 415 0.198898003308 Henry Cohn, 2026, needs more optimization.
28 416 0.199004145814 Henry Cohn, 2026, needs more optimization.
28 417 0.199053795344 Henry Cohn, 2026, needs more optimization.
28 418 0.199115141262 Henry Cohn, 2026, needs more optimization.
28 419 0.199134585324 Henry Cohn, 2026, needs more optimization.
28 420 0.199186744227 Henry Cohn, 2026, needs more optimization.
28 421 0.199199806362 Henry Cohn, 2026, needs more optimization.
28 422 0.199263215904 Henry Cohn, 2026, needs more optimization.
28 423 0.199281732952 Henry Cohn, 2026, needs more optimization.
28 424 0.199317517126 Henry Cohn, 2026, needs more optimization.
28 425 0.199337597149 Henry Cohn, 2026, needs more optimization.
28 426 0.199402367375 Henry Cohn, 2026, needs more optimization.
28 427 0.199429392608 Henry Cohn, 2026, needs more optimization.
28 428 0.199452093646 Henry Cohn, 2026, needs more optimization.
28 429 0.199495706246 Henry Cohn, 2026, needs more optimization.
28 430 0.199535747554 Henry Cohn, 2026, needs more optimization.
28 431 0.199548555593 Henry Cohn, 2026, needs more optimization.
28 432 0.199558392804 Henry Cohn, 2026, needs more optimization.
28 433 0.199566883206 Henry Cohn, 2026, needs more optimization.
28 434 0.199596191842 Henry Cohn, 2026, needs more optimization.
28 435 0.199619823052 Henry Cohn, 2026, needs more optimization.
28 436 0.199653149650 Henry Cohn, 2026, needs more optimization.
28 437 0.199675964501 Henry Cohn, 2026, needs more optimization.
28 438 0.199713182043 Henry Cohn, 2026, needs more optimization.
28 439 0.199718565238 Henry Cohn, 2026, needs more optimization.
28 440 0.199742268836 Henry Cohn, 2026, needs more optimization.
28 441 0.199759836389 Henry Cohn, 2026, needs more optimization.
28 442 0.199761129983 Henry Cohn, 2026, needs more optimization.
28 443 0.199761971748 Henry Cohn, 2026, needs more optimization.
28 444 0.199792600773 Henry Cohn, 2026, needs more optimization.
28 445 0.199803379967 Henry Cohn, 2026, needs more optimization.
28 446 0.199846242682 Henry Cohn, 2026, needs more optimization.
28 447 0.199868936035 Henry Cohn, 2026, needs more optimization.
28 448 0.199882286023 Henry Cohn, 2026, needs more optimization.
28 449 0.199883646219 Henry Cohn, 2026, needs more optimization.
28 450 0.199897177021 Henry Cohn, 2026, needs more optimization.
28 451 0.199905753546 Henry Cohn, 2026, needs more optimization.
28 452 0.199915072086 Henry Cohn, 2026, needs more optimization.
28 453 0.199923049930 Henry Cohn, 2026, needs more optimization.
28 454 0.199951994682 Henry Cohn, 2026, needs more optimization.
28 455 0.199954092883 Henry Cohn, 2026, needs more optimization.
28 456 0.199957019226 Henry Cohn, 2026, needs more optimization.
28 457 0.199961758867 Henry Cohn, 2026, needs more optimization.
28 458 0.199963897147 Henry Cohn, 2026, needs more optimization.
28 459 0.199968094196 Henry Cohn, 2026, needs more optimization.
28 460 0.199975052444 Henry Cohn, 2026, needs more optimization.
28 568 0.2 Orthogonal union of 552 points in 23 dimensions and 16 points in 5 dimensions.
5⁢x−1
28 570 0.200002691096 Henry Cohn, 2026, needs more optimization.
28 571 0.200002940684 Henry Cohn, 2026, needs more optimization.
28 572 0.200004383352 Orthogonal union of 570 points in 27 dimensions and 2 points in 1 dimension.
28 573 0.200015702168 Henry Cohn, 2026, needs more optimization.
28 574 0.200016918669 Henry Cohn, 2026, needs more optimization.
28 575 0.200018693348 Henry Cohn, 2026, needs more optimization.
28 576 0.200021190242 Henry Cohn, 2026, needs more optimization.
28 577 0.200023459302 Henry Cohn, 2026, needs more optimization.
28 578 0.200026333503 Henry Cohn, 2026, needs more optimization.
28 579 0.200028731453 Henry Cohn, 2026, needs more optimization.
28 580 0.200033369936 Henry Cohn, 2026, needs more optimization.
28 581 0.200035869666 Henry Cohn, 2026, needs more optimization.
28 582 0.200044051239 Henry Cohn, 2026, needs more optimization.
28 583 0.200050051134 Henry Cohn, 2026, needs more optimization.
28 584 0.200053121854 Henry Cohn, 2026, needs more optimization.
28 585 0.200058505558 Henry Cohn, 2026, needs more optimization.
28 586 0.200090697094 Henry Cohn, 2026, needs more optimization.
28 587 0.200146890017 Henry Cohn, 2026, needs more optimization.
28 588 0.200186408217 Henry Cohn, 2026, needs more optimization.
28 589 0.200213984911 Henry Cohn, 2026, needs more optimization.
28 590 0.200339978886 Henry Cohn, 2026, needs more optimization.
28 591 0.200740307758 Henry Cohn, 2026, needs more optimization.
28 592 0.201002888557 Henry Cohn, 2026, needs more optimization.
28 593 0.201045529400 Henry Cohn, 2026, needs more optimization.
28 594 0.201223293741 Henry Cohn, 2026, needs more optimization.
28 595 0.202036162849 Henry Cohn, 2026, needs more optimization.
28 596 0.202565894468 Henry Cohn, 2026, needs more optimization.
28 597 0.203341136322 Henry Cohn, 2026, needs more optimization.
28 598 0.203845113052 Henry Cohn, 2026, needs more optimization.
28 599 0.204389413929 Henry Cohn, 2026, needs more optimization.
28 600 0.204861345507 Henry Cohn, 2026, needs more optimization.
28 601 0.237669445811 Henry Cohn, 2026, needs more optimization.
28 602 0.237674648514 Henry Cohn, 2026, needs more optimization.
28 603 0.237735936745 Henry Cohn, 2026, needs more optimization.
28 604 0.237771601929 Henry Cohn, 2026, needs more optimization.
28 605 0.237813958600 Henry Cohn, 2026, needs more optimization.
28 606 0.237819779112 Henry Cohn, 2026, needs more optimization.
28 607 0.237900922772 Henry Cohn, 2026, needs more optimization.
28 608 0.237902900713 Henry Cohn, 2026, needs more optimization.
28 609 0.237905921080 Henry Cohn, 2026, needs more optimization.
28 610 0.237908280977 Henry Cohn, 2026, needs more optimization.
28 611 0.237911266407 Henry Cohn, 2026, needs more optimization.
28 612 0.237916314785 Henry Cohn, 2026, needs more optimization.
28 613 0.237920601224 Henry Cohn, 2026, needs more optimization.
28 614 0.237946724668 Henry Cohn, 2026, needs more optimization.
28 615 0.238049301000 Henry Cohn, 2026, needs more optimization.
28 616 0.238050700485 Henry Cohn, 2026, needs more optimization.
28 617 0.238051278670 Henry Cohn, 2026, needs more optimization.
28 618 0.238052821172 Henry Cohn, 2026, needs more optimization.
28 619 0.238054195168 Henry Cohn, 2026, needs more optimization.
28 620 0.238055605515 Henry Cohn, 2026, needs more optimization.
28 621 0.238056466289 Henry Cohn, 2026, needs more optimization.
28 622 0.238058288821 Henry Cohn, 2026, needs more optimization.
28 623 0.238059251430 Henry Cohn, 2026, needs more optimization.
28 624 0.238060793397 Henry Cohn, 2026, needs more optimization.
28 625 0.238061545500 Henry Cohn, 2026, needs more optimization.
28 626 0.238063573787 Henry Cohn, 2026, needs more optimization.
28 627 0.238065472348 Henry Cohn, 2026, needs more optimization.
28 628 0.238067026346 Henry Cohn, 2026, needs more optimization.
28 629 0.238067963621 Henry Cohn, 2026, needs more optimization.
28 630 0.238069098796 Henry Cohn, 2026, needs more optimization.
28 631 0.238070901082 Henry Cohn, 2026, needs more optimization.
28 632 0.238072801569 Henry Cohn, 2026, needs more optimization.
28 633 0.238074851394 Henry Cohn, 2026, needs more optimization.
28 634 0.238076750415 Henry Cohn, 2026, needs more optimization.
28 635 0.238080153418 Henry Cohn, 2026, needs more optimization.
28 636 0.238085134964 Henry Cohn, 2026, needs more optimization.
28 637 0.238087777108 Henry Cohn, 2026, needs more optimization.
28 638 0.238097149389 Henry Cohn, 2026, needs more optimization.
28 639 0.238097525201 Henry Cohn, 2026, needs more optimization.
28 640 0.238097763311 Henry Cohn, 2026, needs more optimization.
28 641 0.238098327740 Henry Cohn, 2026, needs more optimization.
28 642 0.238099088584 Henry Cohn, 2026, needs more optimization.
28 643 0.238099538026 Henry Cohn, 2026, needs more optimization.
28 644 0.238099798699 Henry Cohn, 2026, needs more optimization.
28 645 0.238100104618 Henry Cohn, 2026, needs more optimization.
28 646 0.238101521009 Henry Cohn, 2026, needs more optimization.
28 647 0.238102076822 Henry Cohn, 2026, needs more optimization.
28 648 0.238103198852 Henry Cohn, 2026, needs more optimization.
28 649 0.238104818082 Henry Cohn, 2026, needs more optimization.
28 650 0.238105654833 Henry Cohn, 2026, needs more optimization.
28 651 0.238107383262 Henry Cohn, 2026, needs more optimization.
28 652 0.238108972783 Henry Cohn, 2026, needs more optimization.
28 653 0.238111251680 Henry Cohn, 2026, needs more optimization.
28 654 0.238113497411 Henry Cohn, 2026, needs more optimization.
28 655 0.238114411076 Henry Cohn, 2026, needs more optimization.
28 656 0.238116536188 Henry Cohn, 2026, needs more optimization.
28 657 0.238119905536 Henry Cohn, 2026, needs more optimization.
28 658 0.238122270009 Henry Cohn, 2026, needs more optimization.
28 659 0.238127004017 Henry Cohn, 2026, needs more optimization.
28 660 0.238140956990 Henry Cohn, 2026, needs more optimization.
28 661 0.238147697541 Henry Cohn, 2026, needs more optimization.
28 662 0.238193491130 Henry Cohn, 2026, needs more optimization.
28 663 0.238272771908 Henry Cohn, 2026, needs more optimization.
28 664 0.238278557754 Henry Cohn, 2026, needs more optimization.
28 665 0.238288692663 Henry Cohn, 2026, needs more optimization.
28 666 0.238293767501 Henry Cohn, 2026, needs more optimization.
28 667 0.238302208728 Henry Cohn, 2026, needs more optimization.
28 668 0.238309857633 Henry Cohn, 2026, needs more optimization.
28 669 0.238329002037 Henry Cohn, 2026, needs more optimization.
28 670 0.238345505038 Henry Cohn, 2026, needs more optimization.
28 671 0.238355719822 Henry Cohn, 2026, needs more optimization.
28 672 0.238376311112 Henry Cohn, 2026, needs more optimization.
28 673 0.238390390479 Henry Cohn, 2026, needs more optimization.
28 674 0.238399059764 Henry Cohn, 2026, needs more optimization.
28 675 0.238415582688 Henry Cohn, 2026, needs more optimization.
28 676 0.238421637005 Henry Cohn, 2026, needs more optimization.
28 677 0.238429843857 Henry Cohn, 2026, needs more optimization.
28 678 0.238494454157 Henry Cohn, 2026, needs more optimization.
28 679 0.238547360134 Henry Cohn, 2026, needs more optimization.
28 680 0.238610895976 Henry Cohn, 2026, needs more optimization.
28 681 0.238643260277 Henry Cohn, 2026, needs more optimization.
28 682 0.238750902306 Henry Cohn, 2026, needs more optimization.
28 683 0.238762532455 Henry Cohn, 2026, needs more optimization.
28 684 0.239024469254 Henry Cohn, 2026, needs more optimization.
28 685 0.239037556390 Henry Cohn, 2026, needs more optimization.
28 686 0.239087944262 Henry Cohn, 2026, needs more optimization.
28 687 0.239099408735 Henry Cohn, 2026, needs more optimization.
28 688 0.239423415384 Henry Cohn, 2026, needs more optimization.
28 689 0.239642960926 Henry Cohn, 2026, needs more optimization.
28 690 0.239866419861 Henry Cohn, 2026, needs more optimization.
28 691 0.239920397442 Henry Cohn, 2026, needs more optimization.
28 692 0.240029212970 Henry Cohn, 2026, needs more optimization.
28 693 0.240127440730 Henry Cohn, 2026, needs more optimization.
28 694 0.240131175399 Henry Cohn, 2026, needs more optimization.
28 695 0.240238793951 Henry Cohn, 2026, needs more optimization.
28 696 0.240932954573 Henry Cohn, 2026, needs more optimization.
28 697 0.241122963687 Henry Cohn, 2026, needs more optimization.
28 698 0.241218527627 Henry Cohn, 2026, needs more optimization.
28 699 0.241228673742 Henry Cohn, 2026, needs more optimization.
28 700 0.241724343806 Henry Cohn, 2026, needs more optimization.
28 701 0.241753981736 Henry Cohn, 2026, needs more optimization.
28 702 0.241773291789 Henry Cohn, 2026, needs more optimization.
28 703 0.241873499826 Henry Cohn, 2026, needs more optimization.
28 704 0.241908031431 Henry Cohn, 2026, needs more optimization.
28 705 0.241917127550 Henry Cohn, 2026, needs more optimization.
28 706 0.241920952682 Henry Cohn, 2026, needs more optimization.
28 707 0.242057232980 Henry Cohn, 2026, needs more optimization.
28 708 0.242537313007 Henry Cohn, 2026, needs more optimization.
28 709 0.242644655491 Henry Cohn, 2026, needs more optimization.
28 710 0.242826114129 Henry Cohn, 2026, needs more optimization.
28 711 0.243223376791 Henry Cohn, 2026, needs more optimization.
28 712 0.243231471706 Henry Cohn, 2026, needs more optimization.
28 713 0.243236088893 Henry Cohn, 2026, needs more optimization.
28 714 0.243341461954 Henry Cohn, 2026, needs more optimization.
28 715 0.243626515723 Henry Cohn, 2026, needs more optimization.
28 716 0.243631170514 Henry Cohn, 2026, needs more optimization.
28 717 0.244187126513 Henry Cohn, 2026, needs more optimization.
28 718 0.247694187841 Henry Cohn, 2026, needs more optimization.
28 719 0.247701426649 Henry Cohn, 2026, needs more optimization.
28 720 0.247717185364 Henry Cohn, 2026, needs more optimization.
28 721 0.247771070572 Henry Cohn, 2026, needs more optimization.
28 722 0.247808785559 Henry Cohn, 2026, needs more optimization.
28 723 0.247819698184 Henry Cohn, 2026, needs more optimization.
28 724 0.247822717863 Henry Cohn, 2026, needs more optimization.
28 725 0.247828281521 Henry Cohn, 2026, needs more optimization.
28 726 0.247830921158 Henry Cohn, 2026, needs more optimization.
28 727 0.247888829421 Henry Cohn, 2026, needs more optimization.
28 728 0.247921565079 Henry Cohn, 2026, needs more optimization.
28 729 0.247967873845 Henry Cohn, 2026, needs more optimization.
28 730 0.248013920962 Henry Cohn, 2026, needs more optimization.
28 731 0.248017907588 Henry Cohn, 2026, needs more optimization.
28 732 0.248044332327 Henry Cohn, 2026, needs more optimization.
28 733 0.248049155575 Henry Cohn, 2026, needs more optimization.
28 734 0.248055930082 Henry Cohn, 2026, needs more optimization.
28 735 0.248094281992 Henry Cohn, 2026, needs more optimization.
28 736 0.248125500781 Henry Cohn, 2026, needs more optimization.
28 737 0.248141691151 Henry Cohn, 2026, needs more optimization.
28 738 0.248180001605 Henry Cohn, 2026, needs more optimization.
28 739 0.248219065970 Henry Cohn, 2026, needs more optimization.
28 740 0.248252317878 Henry Cohn, 2026, needs more optimization.
28 741 0.248269525319 Henry Cohn, 2026, needs more optimization.
28 742 0.248346067166 Henry Cohn, 2026, needs more optimization.
28 743 0.248386174795 Henry Cohn, 2026, needs more optimization.
28 744 0.248434582579 Henry Cohn, 2026, needs more optimization.
28 745 0.248455090113 Henry Cohn, 2026, needs more optimization.
28 746 0.248497136946 Henry Cohn, 2026, needs more optimization.
28 747 0.248512611690 Henry Cohn, 2026, needs more optimization.
28 748 0.248519107100 Henry Cohn, 2026, needs more optimization.
28 749 0.248551212191 Henry Cohn, 2026, needs more optimization.
28 750 0.248615069794 Henry Cohn, 2026, needs more optimization.
28 751 0.248666006995 Henry Cohn, 2026, needs more optimization.
28 752 0.248723183043 Henry Cohn, 2026, needs more optimization.
28 753 0.248751746181 Henry Cohn, 2026, needs more optimization.
28 754 0.248795357739 Henry Cohn, 2026, needs more optimization.
28 755 0.248837634167 Henry Cohn, 2026, needs more optimization.
28 756 0.248878834768 Henry Cohn, 2026, needs more optimization.
28 757 0.248918277459 Henry Cohn, 2026, needs more optimization.
28 758 0.248961959239 Henry Cohn, 2026, needs more optimization.
28 759 0.248974162550 Henry Cohn, 2026, needs more optimization.
28 760 0.249003411359 Henry Cohn, 2026, needs more optimization.
28 761 0.249011856441 Henry Cohn, 2026, needs more optimization.
28 762 0.249066439260 Henry Cohn, 2026, needs more optimization.
28 763 0.249073378350 Henry Cohn, 2026, needs more optimization.
28 764 0.249111638007 Henry Cohn, 2026, needs more optimization.
28 765 0.249132938735 Henry Cohn, 2026, needs more optimization.
28 766 0.249172330272 Henry Cohn, 2026, needs more optimization.
28 767 0.249182267923 Henry Cohn, 2026, needs more optimization.
28 768 0.249209845271 Henry Cohn, 2026, needs more optimization.
28 769 0.249247317083 Henry Cohn, 2026, needs more optimization.
28 770 0.249252092326 Henry Cohn, 2026, needs more optimization.
28 771 0.249282398336 Henry Cohn, 2026, needs more optimization.
28 772 0.249305606891 Henry Cohn, 2026, needs more optimization.
28 773 0.249319650958 Henry Cohn, 2026, needs more optimization.
28 774 0.249351017102 Henry Cohn, 2026, needs more optimization.
28 775 0.249369719339 Henry Cohn, 2026, needs more optimization.
28 776 0.249404010093 Henry Cohn, 2026, needs more optimization.
28 777 0.249444350396 Henry Cohn, 2026, needs more optimization.
28 778 0.249448327639 Henry Cohn, 2026, needs more optimization.
28 779 0.249467109833 Henry Cohn, 2026, needs more optimization.
28 780 0.249472152949 Henry Cohn, 2026, needs more optimization.
28 781 0.249495106408 Henry Cohn, 2026, needs more optimization.
28 782 0.249500400937 Henry Cohn, 2026, needs more optimization.
28 783 0.249522486934 Henry Cohn, 2026, needs more optimization.
28 784 0.249544528574 Henry Cohn, 2026, needs more optimization.
28 785 0.249558580889 Henry Cohn, 2026, needs more optimization.
28 786 0.249589281380 Henry Cohn, 2026, needs more optimization.
28 787 0.249597741532 Henry Cohn, 2026, needs more optimization.
28 788 0.249613821920 Henry Cohn, 2026, needs more optimization.
28 789 0.249626049093 Henry Cohn, 2026, needs more optimization.
28 790 0.249631254018 Henry Cohn, 2026, needs more optimization.
28 791 0.249642789022 Henry Cohn, 2026, needs more optimization.
28 792 0.249656309764 Henry Cohn, 2026, needs more optimization.
28 793 0.249657002405 Henry Cohn, 2026, needs more optimization.
28 794 0.249659205692 Henry Cohn, 2026, needs more optimization.
28 795 0.249665357232 Henry Cohn, 2026, needs more optimization.
28 796 0.249681801813 Henry Cohn, 2026, needs more optimization.
28 797 0.249690023195 Henry Cohn, 2026, needs more optimization.
28 799 0.249693285238 Henry Cohn, 2026, needs more optimization.
28 800 0.249708050183 Henry Cohn, 2026, needs more optimization.
28 801 0.249722955185 Henry Cohn, 2026, needs more optimization.
28 802 0.249729987470 Henry Cohn, 2026, needs more optimization.
28 803 0.249738158465 Henry Cohn, 2026, needs more optimization.
28 804 0.249756726551 Henry Cohn, 2026, needs more optimization.
28 805 0.249759130278 Henry Cohn, 2026, needs more optimization.
28 806 0.249766107955 Henry Cohn, 2026, needs more optimization.
28 807 0.249783256979 Henry Cohn, 2026, needs more optimization.
28 808 0.249787650550 Henry Cohn, 2026, needs more optimization.
28 809 0.249791790139 Henry Cohn, 2026, needs more optimization.
28 810 0.249797688544 Henry Cohn, 2026, needs more optimization.
28 811 0.249800993186 Henry Cohn, 2026, needs more optimization.
28 812 0.249830756451 Henry Cohn, 2026, needs more optimization.
28 813 0.249833446012 Henry Cohn, 2026, needs more optimization.
28 814 0.249844948638 Henry Cohn, 2026, needs more optimization.
28 815 0.249862133462 Henry Cohn, 2026, needs more optimization.
28 816 0.249868875095 Henry Cohn, 2026, needs more optimization.
28 817 0.249888809817 Henry Cohn, 2026, needs more optimization.
28 818 0.249908485791 Henry Cohn, 2026, needs more optimization.
28 819 0.249911000667 Henry Cohn, 2026, needs more optimization.
28 820 0.249917351708 Henry Cohn, 2026, needs more optimization.
28 822 0.249919650698 Henry Cohn, 2026, needs more optimization.
28 823 0.249937427356 Henry Cohn, 2026, needs more optimization.
28 824 0.249954888916 Henry Cohn, 2026, needs more optimization.
28 825 0.249958949014 Henry Cohn, 2026, needs more optimization.
28 976 0.25 Henry Cohn, 2026.
4⁢x−1
28 977 0.250024209405 Henry Cohn, 2026, needs more optimization.
28 978 0.250025658596 Henry Cohn, 2026, needs more optimization.
28 979 0.250035791685 Henry Cohn, 2026, needs more optimization.
28 980 0.250038995579 Henry Cohn, 2026, needs more optimization.
28 981 0.250044974668 Henry Cohn, 2026, needs more optimization.
28 982 0.250045856531 Henry Cohn, 2026, needs more optimization.
28 984 0.250053881403 Henry Cohn, 2026, needs more optimization.
28 985 0.250062489010 Henry Cohn, 2026, needs more optimization.
28 986 0.250062814470 Henry Cohn, 2026, needs more optimization.
28 987 0.250067178715 Henry Cohn, 2026, needs more optimization.
28 989 0.250078896727 Henry Cohn, 2026, needs more optimization.
28 991 0.250083588040 Henry Cohn, 2026, needs more optimization.
28 993 0.250090299409 Henry Cohn, 2026, needs more optimization.
28 994 0.250119877695 Henry Cohn, 2026, needs more optimization.
28 995 0.250146208769 Henry Cohn, 2026, needs more optimization.
28 997 0.250174971682 Henry Cohn, 2026, needs more optimization.
28 998 0.250188533594 Henry Cohn, 2026, needs more optimization.
28 1002 0.250207873663 Henry Cohn, 2026, needs more optimization.
28 1004 0.250224113381 Henry Cohn, 2026, needs more optimization.
28 1005 0.250271756223 Henry Cohn, 2026, needs more optimization.
28 1006 0.250355533485 Henry Cohn, 2026, needs more optimization.
28 1009 0.250441132275 Henry Cohn, 2026, needs more optimization.
28 1010 0.250593947445 Henry Cohn, 2026, needs more optimization.
28 1011 0.250837317598 Henry Cohn, 2026, needs more optimization.
28 1012 0.250938605670 Henry Cohn, 2026, needs more optimization.
28 1014 0.251356207214 Henry Cohn, 2026, needs more optimization.
28 1015 0.251475457221 Henry Cohn, 2026, needs more optimization.
28 1016 0.251840730680 Henry Cohn, 2026, needs more optimization.
28 1017 0.252067614527 Henry Cohn, 2026, needs more optimization.
28 1018 0.252371813166 Henry Cohn, 2026, needs more optimization.
28 1019 0.252623620049 Henry Cohn, 2026, needs more optimization.
28 1020 0.252883736170 Henry Cohn, 2026, needs more optimization.
28 1021 0.253043559527 Henry Cohn, 2026, needs more optimization.
28 1022 0.253158883484 Henry Cohn, 2026, needs more optimization.
28 1023 0.253500927250 Henry Cohn, 2026, needs more optimization.
28 1024 0.253916577770 Henry Cohn, 2026, needs more optimization.
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 0.032283994156 Henry Cohn, 2024.
29 61 0.038074677873 Henry Cohn, 2026, needs more optimization.
29 62 0.039037971400 Henry Cohn, 2026.
29 63 0.039552183365 Henry Cohn, 2026.
29 64 0.043272075045 Henry Cohn, 2026.
29 65 0.044603988536 Henry Cohn, 2026.
29 66 0.044604045902 Henry Cohn, 2026, needs more optimization.
29 67 0.044634959638 Henry Cohn, 2026, needs more optimization.
29 68 0.046023717623 Henry Cohn, 2026.
29 69 0.050837623819 Henry Cohn, 2026.
29 70 0.052553724181 Henry Cohn, 2026, needs more optimization.
29 71 0.054294848299 Henry Cohn, 2026, needs more optimization.
29 72 0.056102523445 Henry Cohn, 2026, needs more optimization.
29 73 0.057724695253 Henry Cohn, 2026, needs more optimization.
29 74 0.059424887087 Henry Cohn, 2026, needs more optimization.
29 75 0.060942469775 Henry Cohn, 2026, needs more optimization.
29 76 0.062593921311 Henry Cohn, 2026, needs more optimization.
29 77 0.063117900945 Henry Cohn, 2026, needs more optimization.
29 78 0.063579419232 Henry Cohn, 2026, needs more optimization.
29 79 0.064149508725 Henry Cohn, 2026, needs more optimization.
29 80 0.065731223905 Henry Cohn, 2026, needs more optimization.
29 81 0.066916771097 Henry Cohn, 2026, needs more optimization.
29 82 0.068551140992 Henry Cohn, 2026, needs more optimization.
29 83 0.070359470510 Henry Cohn, 2026, needs more optimization.
29 84 0.072177323531 Henry Cohn, 2026, needs more optimization.
29 85 0.073571723199 Henry Cohn, 2026, needs more optimization.
29 86 0.074839660480 Henry Cohn, 2026, needs more optimization.
29 87 0.075744746089 Henry Cohn, 2026, needs more optimization.
29 88 0.075920843902 Henry Cohn, 2026, needs more optimization.
29 89 0.076456196171 Henry Cohn, 2026, needs more optimization.
29 90 0.076802816123 Henry Cohn, 2026, needs more optimization.
29 91 0.076986011813 Henry Cohn, 2026, needs more optimization.
29 92 0.077171102510 Henry Cohn, 2026, needs more optimization.
29 93 0.077370861783 Henry Cohn, 2026, needs more optimization.
29 94 0.077819999321 Henry Cohn, 2026, needs more optimization.
29 95 0.078080044551 Henry Cohn, 2026, needs more optimization.
29 96 0.078171352979 Henry Cohn, 2026, needs more optimization.
29 97 0.078819539568 Henry Cohn, 2026, needs more optimization.
29 98 0.078879223057 Henry Cohn, 2026, needs more optimization.
29 99 0.079121709055 Henry Cohn, 2026, needs more optimization.
29 100 0.079421807624 Henry Cohn, 2026, needs more optimization.
29 101 0.080120970007 Henry Cohn, 2026, needs more optimization.
29 102 0.080261661364 Henry Cohn, 2026, needs more optimization.
29 103 0.080658815687 Henry Cohn, 2026, needs more optimization.
29 104 0.080673075187 Henry Cohn, 2026, needs more optimization.
29 105 0.080717042485 Henry Cohn, 2026, needs more optimization.
29 106 0.082042936237 Henry Cohn, 2026, needs more optimization.
29 107 0.082906637933 Henry Cohn, 2026, needs more optimization.
29 108 0.084783938550 Henry Cohn, 2026, needs more optimization.
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 0.089548687633 Henry Cohn, 2026, needs more optimization.
29 114 0.089841789242 Henry Cohn, 2026, needs more optimization.
29 115 0.089939252285 Henry Cohn, 2026, needs more optimization.
29 116 0.090013372974 Henry Cohn, 2026, needs more optimization.
29 117 0.090304328434 Henry Cohn, 2026, needs more optimization.
29 118 0.090582553970 Henry Cohn, 2026, needs more optimization.
29 119 0.090618007168 Henry Cohn, 2026, needs more optimization.
29 120 0.090744307098 Henry Cohn, 2026, needs more optimization.
29 121 0.091123623965 Henry Cohn, 2026, needs more optimization.
29 122 0.091825082028 Henry Cohn, 2026, needs more optimization.
29 123 0.093254360064 Henry Cohn, 2026, needs more optimization.
29 124 0.094254725171 Henry Cohn, 2026, needs more optimization.
29 125 0.096614678389 Henry Cohn, 2026, needs more optimization.
29 126 0.098256839001 Henry Cohn, 2026, needs more optimization.
29 127 0.099853019676 Henry Cohn, 2026, needs more optimization.
29 128 0.101514436638 Henry Cohn, 2026, needs more optimization.
29 129 0.102416996710 Henry Cohn, 2026, needs more optimization.
29 130 0.102457215282 Henry Cohn, 2026, needs more optimization.
29 131 0.102540925709 Henry Cohn, 2026, needs more optimization.
29 132 0.102568617336 Henry Cohn, 2026, needs more optimization.
29 133 0.102597544223 Henry Cohn, 2026, needs more optimization.
29 134 0.102727519857 Henry Cohn, 2026, needs more optimization.
29 135 0.103129613088 Henry Cohn, 2026, needs more optimization.
29 136 0.103823445447 Henry Cohn, 2026, needs more optimization.
29 137 0.105088867814 Henry Cohn, 2026, needs more optimization.
29 138 0.106293172593 Henry Cohn, 2026, needs more optimization.
29 139 0.107456510404 Henry Cohn, 2026, needs more optimization.
29 140 0.108105107648 Henry Cohn, 2026, needs more optimization.
29 141 0.108741050636 Henry Cohn, 2026, needs more optimization.
29 142 0.109503839982 Henry Cohn, 2026, needs more optimization.
29 143 0.110325113666 Henry Cohn, 2026, needs more optimization.
29 144 0.110691892525 Henry Cohn, 2026, needs more optimization.
29 145 0.110906903086 Henry Cohn, 2026, needs more optimization.
29 146 0.111108989128 Henry Cohn, 2026, needs more optimization.
29 147 0.111109114601 Henry Cohn, 2026, needs more optimization.
29 148 0.111110832786 Henry Cohn, 2026, needs more optimization.
29 149 0.111110832858 Henry Cohn, 2026, needs more optimization.
29 152 0.111111111112 Orthogonal union of 150 points in 28 dimensions and 2 points in 1 dimension.
9⁢x−1
29 153 0.111111802307 Henry Cohn, 2026, needs more optimization.
29 154 0.111111882652 Henry Cohn, 2026, needs more optimization.
29 155 0.112126665203 Henry Cohn, 2026, needs more optimization.
29 156 0.113942539265 Henry Cohn, 2026, needs more optimization.
29 157 0.117885649311 Henry Cohn, 2026, needs more optimization.
29 158 0.119126440671 Henry Cohn, 2026, needs more optimization.
29 159 0.121144792590 Henry Cohn, 2026, needs more optimization.
29 160 0.121317516537 Henry Cohn, 2026, needs more optimization.
29 161 0.122573263516 Henry Cohn, 2026, needs more optimization.
29 162 0.124337217630 Henry Cohn, 2026, needs more optimization.
29 163 0.125681873538 Henry Cohn, 2026, needs more optimization.
29 164 0.126056794585 Henry Cohn, 2026, needs more optimization.
29 165 0.126268345561 Henry Cohn, 2026, needs more optimization.
29 166 0.128060524765 Henry Cohn, 2026, needs more optimization.
29 184 0.128238684469 Orthogonal union of 182 points in 28 dimensions and 2 points in 1 dimension.
92⁢x2−4⁢x−1
29 185 0.128241016858 Henry Cohn, 2026, needs more optimization.
29 186 0.129337497242 Henry Cohn, 2026, needs more optimization.
29 187 0.131079351112 Henry Cohn, 2026, needs more optimization.
29 188 0.134761121850 Henry Cohn, 2026, needs more optimization.
29 189 0.136050459243 Henry Cohn, 2026, needs more optimization.
29 190 0.138804525109 Henry Cohn, 2026, needs more optimization.
29 191 0.139947916613 Henry Cohn, 2026, needs more optimization.
29 192 0.140859553993 Henry Cohn, 2026, needs more optimization.
29 193 0.141749586690 Henry Cohn, 2026, needs more optimization.
29 194 0.141866058816 Henry Cohn, 2026, needs more optimization.
29 195 0.141873271407 Henry Cohn, 2026, needs more optimization.
29 196 0.142056389493 Henry Cohn, 2026, needs more optimization.
29 197 0.142094766806 Henry Cohn, 2026, needs more optimization.
29 198 0.142168621449 Henry Cohn, 2026, needs more optimization.
29 199 0.142203481380 Henry Cohn, 2026, needs more optimization.
29 200 0.142285889183 Henry Cohn, 2026, needs more optimization.
29 201 0.142342372089 Henry Cohn, 2026, needs more optimization.
29 202 0.142397655902 Henry Cohn, 2026, needs more optimization.
29 203 0.142421201365 Henry Cohn, 2026, needs more optimization.
29 204 0.142449742646 Henry Cohn, 2026, needs more optimization.
29 205 0.142556666251 Henry Cohn, 2026, needs more optimization.
29 206 0.142701947037 Henry Cohn, 2026, needs more optimization.
29 207 0.142865530744 Henry Cohn, 2026, needs more optimization.
29 208 0.142994666733 Henry Cohn, 2026, needs more optimization.
29 209 0.143548836595 Henry Cohn, 2026, needs more optimization.
29 210 0.143761526148 Henry Cohn, 2026, needs more optimization.
29 211 0.144242298137 Henry Cohn, 2026, needs more optimization.
29 212 0.144978931600 Henry Cohn, 2026, needs more optimization.
29 213 0.145546804335 Henry Cohn, 2026, needs more optimization.
29 214 0.145855252417 Henry Cohn, 2026, needs more optimization.
29 215 0.145867353858 Henry Cohn, 2026, needs more optimization.
29 216 0.145871780866 Henry Cohn, 2026, needs more optimization.
29 217 0.145874326853 Henry Cohn, 2026, needs more optimization.
29 218 0.146058827520 Henry Cohn, 2026, needs more optimization.
29 219 0.146216232673 Henry Cohn, 2026, needs more optimization.
29 220 0.146483955847 Henry Cohn, 2026, needs more optimization.
29 221 0.146546684925 Henry Cohn, 2026, needs more optimization.
29 222 0.146634479377 Henry Cohn, 2026, needs more optimization.
29 223 0.146758786052 Henry Cohn, 2026, needs more optimization.
29 224 0.146956195964 Henry Cohn, 2026, needs more optimization.
29 225 0.146958004262 Henry Cohn, 2026, needs more optimization.
29 235 0.147102976680 Henry Cohn, 2026.
87⁢x2−6⁢x−1
29 236 0.147884014823 Henry Cohn, 2026, needs more optimization.
29 237 0.147929356978 Henry Cohn, 2026, needs more optimization.
29 238 0.147937666107 Henry Cohn, 2026, needs more optimization.
29 239 0.147982610080 Henry Cohn, 2026.
29 240 0.148017125973 Henry Cohn, 2026, needs more optimization.
29 241 0.148223034865 Henry Cohn, 2026, needs more optimization.
29 242 0.148404901201 Henry Cohn, 2026, needs more optimization.
29 243 0.148732952278 Henry Cohn, 2026, needs more optimization.
29 244 0.148956501175 Henry Cohn, 2026, needs more optimization.
29 245 0.149400473465 Henry Cohn, 2026, needs more optimization.
29 246 0.149990723414 Henry Cohn, 2026, needs more optimization.
29 247 0.150247796522 Henry Cohn, 2026, needs more optimization.
29 248 0.150709943832 Henry Cohn, 2026, needs more optimization.
29 249 0.151101827655 Henry Cohn, 2026, needs more optimization.
29 250 0.151763346632 Henry Cohn, 2026, needs more optimization.
29 251 0.152361362713 Henry Cohn, 2026, needs more optimization.
29 252 0.153234841203 Henry Cohn, 2026, needs more optimization.
29 253 0.153816864740 Henry Cohn, 2026, needs more optimization.
29 254 0.155257980787 Henry Cohn, 2026, needs more optimization.
29 255 0.156071757583 Henry Cohn, 2026, needs more optimization.
29 256 0.156714389278 Henry Cohn, 2026, needs more optimization.
29 257 0.157587015390 Henry Cohn, 2026, needs more optimization.
29 258 0.158378429249 Henry Cohn, 2026, needs more optimization.
29 259 0.159057376732 Henry Cohn, 2026, needs more optimization.
29 260 0.159428844068 Henry Cohn, 2026, needs more optimization.
29 261 0.159994118977 Henry Cohn, 2026, needs more optimization.
29 262 0.161704646125 Henry Cohn, 2026, needs more optimization.
29 263 0.162275835304 Henry Cohn, 2026, needs more optimization.
29 264 0.162327904705 Henry Cohn, 2026, needs more optimization.
29 265 0.162351731161 Henry Cohn, 2026, needs more optimization.
29 266 0.162365462248 Henry Cohn, 2026, needs more optimization.
29 267 0.162366906091 Henry Cohn, 2026, needs more optimization.
29 268 0.162435082068 Henry Cohn, 2026, needs more optimization.
29 269 0.162826777679 Henry Cohn, 2026, needs more optimization.
29 270 0.162861737675 Henry Cohn, 2026, needs more optimization.
29 271 0.162872526297 Henry Cohn, 2026, needs more optimization.
29 272 0.163099895192 Henry Cohn, 2026, needs more optimization.
29 273 0.163378076100 Henry Cohn, 2026, needs more optimization.
29 274 0.163439797044 Henry Cohn, 2026, needs more optimization.
29 275 0.163520756022 Henry Cohn, 2026, needs more optimization.
29 276 0.163583762927 Henry Cohn, 2026, needs more optimization.
29 277 0.163665938227 Henry Cohn, 2026, needs more optimization.
29 278 0.163815143149 Henry Cohn, 2026, needs more optimization.
29 279 0.163889533078 Henry Cohn, 2026, needs more optimization.
29 280 0.163968291212 Henry Cohn, 2026, needs more optimization.
29 281 0.164184850280 Henry Cohn, 2026, needs more optimization.
29 282 0.164312377169 Henry Cohn, 2026, needs more optimization.
29 283 0.164462025183 Henry Cohn, 2026, needs more optimization.
29 284 0.164572132752 Henry Cohn, 2026, needs more optimization.
29 285 0.164696834732 Henry Cohn, 2026, needs more optimization.
29 286 0.164724074434 Henry Cohn, 2026, needs more optimization.
29 287 0.164836149261 Henry Cohn, 2026, needs more optimization.
29 288 0.164983856119 Henry Cohn, 2026, needs more optimization.
29 289 0.165066711401 Henry Cohn, 2026, needs more optimization.
29 290 0.165118309828 Henry Cohn, 2026, needs more optimization.
29 291 0.165150160558 Henry Cohn, 2026, needs more optimization.
29 292 0.165171497142 Henry Cohn, 2026, needs more optimization.
29 293 0.165196036386 Henry Cohn, 2026, needs more optimization.
29 294 0.165257552927 Henry Cohn, 2026, needs more optimization.
29 295 0.165285047312 Henry Cohn, 2026, needs more optimization.
29 296 0.165309797584 Henry Cohn, 2026, needs more optimization.
29 297 0.165351770716 Henry Cohn, 2026, needs more optimization.
29 298 0.165400129480 Henry Cohn, 2026, needs more optimization.
29 299 0.165501935871 Henry Cohn, 2026, needs more optimization.
29 300 0.165571761681 Henry Cohn, 2026, needs more optimization.
29 301 0.165629792329 Henry Cohn, 2026, needs more optimization.
29 302 0.165739283777 Henry Cohn, 2026, needs more optimization.
29 303 0.165859815595 Henry Cohn, 2026, needs more optimization.
29 304 0.165882860672 Henry Cohn, 2026, needs more optimization.
29 305 0.166003671254 Henry Cohn, 2026, needs more optimization.
29 306 0.166046078815 Henry Cohn, 2026, needs more optimization.
29 307 0.166170880578 Henry Cohn, 2026, needs more optimization.
29 308 0.166252989482 Henry Cohn, 2026, needs more optimization.
29 309 0.166358818139 Henry Cohn, 2026, needs more optimization.
29 310 0.166441248098 Henry Cohn, 2026, needs more optimization.
29 311 0.166498936705 Henry Cohn, 2026, needs more optimization.
29 312 0.166558953880 Henry Cohn, 2026, needs more optimization.
29 313 0.166570875893 Henry Cohn, 2026, needs more optimization.
29 314 0.166600521184 Henry Cohn, 2026, needs more optimization.
29 315 0.166653319456 Henry Cohn, 2026, needs more optimization.
29 316 0.166664871587 Henry Cohn, 2026, needs more optimization.
29 317 0.166666425836 Henry Cohn, 2026, needs more optimization.
29 318 0.166667788560 Henry Cohn, 2026, needs more optimization.
29 319 0.166669869751 Henry Cohn, 2026, needs more optimization.
29 320 0.166678219609 Henry Cohn, 2026, needs more optimization.
29 321 0.166699640770 Henry Cohn, 2026, needs more optimization.
29 322 0.166779219180 Henry Cohn, 2026, needs more optimization.
29 323 0.166915726840 Henry Cohn, 2026, needs more optimization.
29 324 0.166963286638 Henry Cohn, 2026, needs more optimization.
29 325 0.167117466298 Henry Cohn, 2026, needs more optimization.
29 326 0.167203233880 Henry Cohn, 2026, needs more optimization.
29 327 0.167437247498 Henry Cohn, 2026, needs more optimization.
29 328 0.168000743360 Henry Cohn, 2026, needs more optimization.
29 329 0.168318368934 Henry Cohn, 2026, needs more optimization.
29 330 0.169072555954 Henry Cohn, 2026, needs more optimization.
29 331 0.169512107527 Henry Cohn, 2026, needs more optimization.
29 332 0.171080409678 Henry Cohn, 2026, needs more optimization.
29 333 0.171226230324 Henry Cohn, 2026, needs more optimization.
29 334 0.172496023135 Henry Cohn, 2026, needs more optimization.
29 335 0.172847043793 Henry Cohn, 2026, needs more optimization.
29 336 0.173914567806 Henry Cohn, 2026, needs more optimization.
29 337 0.174646736882 Henry Cohn, 2026, needs more optimization.
29 338 0.175404123778 Henry Cohn, 2026, needs more optimization.
29 339 0.175895156050 Henry Cohn, 2026, needs more optimization.
29 340 0.176320213754 Henry Cohn, 2026, needs more optimization.
29 341 0.177268438073 Henry Cohn, 2026, needs more optimization.
29 342 0.177791698074 Henry Cohn, 2026, needs more optimization.
29 343 0.178586200581 Henry Cohn, 2026, needs more optimization.
29 344 0.178628556673 Henry Cohn, 2026, needs more optimization.
29 345 0.178659712215 Henry Cohn, 2026, needs more optimization.
29 346 0.179049493244 Henry Cohn, 2026, needs more optimization.
29 347 0.179279775283 Henry Cohn, 2026, needs more optimization.
29 348 0.180040843291 Henry Cohn, 2026, needs more optimization.
29 349 0.180217910790 Henry Cohn, 2026, needs more optimization.
29 350 0.180523530538 Henry Cohn, 2026, needs more optimization.
29 351 0.180566464985 Henry Cohn, 2026, needs more optimization.
29 352 0.180909000102 Henry Cohn, 2026, needs more optimization.
29 353 0.180968359886 Henry Cohn, 2026, needs more optimization.
29 354 0.181258901034 Henry Cohn, 2026, needs more optimization.
29 355 0.181353373846 Henry Cohn, 2026, needs more optimization.
29 356 0.181414225647 Henry Cohn, 2026, needs more optimization.
29 357 0.181557969148 Henry Cohn, 2026, needs more optimization.
29 358 0.181668151707 Henry Cohn, 2026, needs more optimization.
29 359 0.181730064008 Henry Cohn, 2026, needs more optimization.
29 360 0.181768548525 Henry Cohn, 2026, needs more optimization.
29 361 0.184862372253 Henry Cohn, 2026, needs more optimization.
29 362 0.185560192269 Henry Cohn, 2026, needs more optimization.
29 363 0.186006853936 Henry Cohn, 2026, needs more optimization.
29 364 0.186202009160 Henry Cohn, 2026, needs more optimization.
29 365 0.186308356232 Henry Cohn, 2026, needs more optimization.
29 366 0.186798460264 Henry Cohn, 2026, needs more optimization.
29 367 0.187163282452 Henry Cohn, 2026, needs more optimization.
29 368 0.187523411494 Henry Cohn, 2026, needs more optimization.
29 369 0.187968050088 Henry Cohn, 2026, needs more optimization.
29 370 0.188121498921 Henry Cohn, 2026, needs more optimization.
29 371 0.188472599953 Henry Cohn, 2026, needs more optimization.
29 372 0.188651432716 Henry Cohn, 2026, needs more optimization.
29 373 0.189058807665 Henry Cohn, 2026, needs more optimization.
29 374 0.189463156026 Henry Cohn, 2026, needs more optimization.
29 375 0.189661995990 Henry Cohn, 2026, needs more optimization.
29 376 0.190142492384 Henry Cohn, 2026, needs more optimization.
29 377 0.190366322513 Henry Cohn, 2026, needs more optimization.
29 378 0.190616124595 Henry Cohn, 2026, needs more optimization.
29 379 0.190760426539 Henry Cohn, 2026, needs more optimization.
29 380 0.190916424592 Henry Cohn, 2026, needs more optimization.
29 381 0.191166237194 Henry Cohn, 2026, needs more optimization.
29 382 0.191275954892 Henry Cohn, 2026, needs more optimization.
29 383 0.191529794223 Henry Cohn, 2026, needs more optimization.
29 384 0.191655942850 Henry Cohn, 2026, needs more optimization.
29 385 0.191846641912 Henry Cohn, 2026, needs more optimization.
29 386 0.192046095052 Henry Cohn, 2026, needs more optimization.
29 387 0.192197913414 Henry Cohn, 2026, needs more optimization.
29 388 0.192357200664 Henry Cohn, 2026, needs more optimization.
29 389 0.192941238076 Henry Cohn, 2026, needs more optimization.
29 390 0.193023566487 Henry Cohn, 2026, needs more optimization.
29 391 0.193347698830 Henry Cohn, 2026, needs more optimization.
29 392 0.193646550253 Henry Cohn, 2026, needs more optimization.
29 393 0.193999436140 Henry Cohn, 2026, needs more optimization.
29 394 0.194064194091 Henry Cohn, 2026, needs more optimization.
29 395 0.194339527251 Henry Cohn, 2026, needs more optimization.
29 396 0.194529215205 Henry Cohn, 2026, needs more optimization.
29 451 0.194630872484 Henry Cohn, 2026, needs more optimization.
149⁢x−29
29 452 0.196848762097 Henry Cohn, 2026, needs more optimization.
29 453 0.199411959941 Henry Cohn, 2026, needs more optimization.
29 454 0.199431179555 Henry Cohn, 2026, needs more optimization.
29 455 0.199438270850 Henry Cohn, 2026, needs more optimization.
29 456 0.199448538459 Henry Cohn, 2026, needs more optimization.
29 457 0.199460779712 Henry Cohn, 2026, needs more optimization.
29 458 0.199469909808 Henry Cohn, 2026, needs more optimization.
29 459 0.199482667862 Henry Cohn, 2026, needs more optimization.
29 460 0.199543098117 Henry Cohn, 2026, needs more optimization.
29 461 0.199558218794 Henry Cohn, 2026, needs more optimization.
29 462 0.199605537360 Henry Cohn, 2026, needs more optimization.
29 463 0.199630851946 Henry Cohn, 2026, needs more optimization.
29 464 0.199636535946 Henry Cohn, 2026, needs more optimization.
29 465 0.199653581677 Henry Cohn, 2026, needs more optimization.
29 466 0.199658192418 Henry Cohn, 2026, needs more optimization.
29 467 0.199677994815 Henry Cohn, 2026, needs more optimization.
29 468 0.199684004086 Henry Cohn, 2026, needs more optimization.
29 469 0.199688401330 Henry Cohn, 2026, needs more optimization.
29 470 0.199692889004 Henry Cohn, 2026, needs more optimization.
29 471 0.199728388571 Henry Cohn, 2026, needs more optimization.
29 472 0.199739329487 Henry Cohn, 2026, needs more optimization.
29 473 0.199742324006 Henry Cohn, 2026, needs more optimization.
29 474 0.199745480469 Henry Cohn, 2026, needs more optimization.
29 475 0.199769236815 Henry Cohn, 2026, needs more optimization.
29 476 0.199773719096 Henry Cohn, 2026, needs more optimization.
29 477 0.199776928820 Henry Cohn, 2026, needs more optimization.
29 478 0.199794958892 Henry Cohn, 2026, needs more optimization.
29 479 0.199798412067 Henry Cohn, 2026, needs more optimization.
29 480 0.199802376806 Henry Cohn, 2026, needs more optimization.
29 481 0.199806757308 Henry Cohn, 2026, needs more optimization.
29 482 0.199820470667 Henry Cohn, 2026, needs more optimization.
29 483 0.199826491806 Henry Cohn, 2026, needs more optimization.
29 484 0.199843070516 Henry Cohn, 2026, needs more optimization.
29 485 0.199861628259 Henry Cohn, 2026, needs more optimization.
29 486 0.199865481828 Henry Cohn, 2026, needs more optimization.
29 487 0.199909073136 Henry Cohn, 2026, needs more optimization.
29 488 0.199919670163 Henry Cohn, 2026, needs more optimization.
29 489 0.199924891203 Henry Cohn, 2026, needs more optimization.
29 490 0.199928359840 Henry Cohn, 2026, needs more optimization.
29 491 0.199941023374 Henry Cohn, 2026, needs more optimization.
29 492 0.199943357311 Henry Cohn, 2026, needs more optimization.
29 493 0.199945971481 Henry Cohn, 2026, needs more optimization.
29 494 0.199950678446 Henry Cohn, 2026, needs more optimization.
29 495 0.199956031298 Henry Cohn, 2026, needs more optimization.
29 496 0.199982437700 Henry Cohn, 2026, needs more optimization.
29 576 0.2 Henry Cohn, 2026.
5⁢x−1
29 577 0.200012963115 Henry Cohn, 2026, needs more optimization.
29 578 0.200013483642 Henry Cohn, 2026, needs more optimization.
29 579 0.200014094467 Henry Cohn, 2026, needs more optimization.
29 580 0.200014755154 Henry Cohn, 2026, needs more optimization.
29 581 0.200015137451 Henry Cohn, 2026, needs more optimization.
29 582 0.200016443843 Henry Cohn, 2026, needs more optimization.
29 583 0.200017989975 Henry Cohn, 2026, needs more optimization.
29 584 0.200019119197 Henry Cohn, 2026, needs more optimization.
29 585 0.200020251345 Henry Cohn, 2026, needs more optimization.
29 586 0.200021739736 Henry Cohn, 2026, needs more optimization.
29 587 0.200023803635 Henry Cohn, 2026, needs more optimization.
29 588 0.200025200955 Henry Cohn, 2026, needs more optimization.
29 589 0.200026747107 Henry Cohn, 2026, needs more optimization.
29 590 0.200028290621 Henry Cohn, 2026, needs more optimization.
29 591 0.200029925664 Henry Cohn, 2026, needs more optimization.
29 592 0.200033136478 Henry Cohn, 2026, needs more optimization.
29 593 0.200035694004 Henry Cohn, 2026, needs more optimization.
29 594 0.200038391902 Henry Cohn, 2026, needs more optimization.
29 595 0.200043074356 Henry Cohn, 2026, needs more optimization.
29 596 0.200046680941 Henry Cohn, 2026, needs more optimization.
29 597 0.200052107455 Henry Cohn, 2026, needs more optimization.
29 598 0.200077070346 Henry Cohn, 2026, needs more optimization.
29 599 0.200080773754 Henry Cohn, 2026, needs more optimization.
29 600 0.200086419846 Henry Cohn, 2026, needs more optimization.
29 601 0.200128703417 Henry Cohn, 2026, needs more optimization.
29 602 0.200160063788 Henry Cohn, 2026, needs more optimization.
29 603 0.200597086529 Henry Cohn, 2026, needs more optimization.
29 604 0.236030342391 Henry Cohn, 2026, needs more optimization.
29 605 0.236055733830 Henry Cohn, 2026, needs more optimization.
29 606 0.236094400025 Henry Cohn, 2026, needs more optimization.
29 607 0.236113628155 Henry Cohn, 2026, needs more optimization.
29 608 0.236126931151 Henry Cohn, 2026, needs more optimization.
29 609 0.236140990680 Henry Cohn, 2026, needs more optimization.
29 610 0.236159941553 Henry Cohn, 2026, needs more optimization.
29 611 0.236170793994 Henry Cohn, 2026, needs more optimization.
29 612 0.236463931644 Henry Cohn, 2026, needs more optimization.
29 613 0.236475177881 Henry Cohn, 2026, needs more optimization.
29 614 0.236486162521 Henry Cohn, 2026, needs more optimization.
29 615 0.236494237243 Henry Cohn, 2026, needs more optimization.
29 616 0.236506631530 Henry Cohn, 2026, needs more optimization.
29 617 0.236515525752 Henry Cohn, 2026, needs more optimization.
29 618 0.236522919621 Henry Cohn, 2026, needs more optimization.
29 619 0.236531820931 Henry Cohn, 2026, needs more optimization.
29 620 0.236540801768 Henry Cohn, 2026, needs more optimization.
29 621 0.236545633108 Henry Cohn, 2026, needs more optimization.
29 622 0.236550249926 Henry Cohn, 2026, needs more optimization.
29 623 0.236557660867 Henry Cohn, 2026, needs more optimization.
29 624 0.237260416949 Henry Cohn, 2026, needs more optimization.
29 625 0.237263786610 Henry Cohn, 2026, needs more optimization.
29 626 0.237268482316 Henry Cohn, 2026, needs more optimization.
29 627 0.237271973300 Henry Cohn, 2026, needs more optimization.
29 628 0.237277655356 Henry Cohn, 2026, needs more optimization.
29 629 0.237283284148 Henry Cohn, 2026, needs more optimization.
29 630 0.237288248425 Henry Cohn, 2026, needs more optimization.
29 631 0.237291775528 Henry Cohn, 2026, needs more optimization.
29 632 0.237297263893 Henry Cohn, 2026, needs more optimization.
29 633 0.237300851317 Henry Cohn, 2026, needs more optimization.
29 634 0.237816602463 Henry Cohn, 2026, needs more optimization.
29 635 0.237818161181 Henry Cohn, 2026, needs more optimization.
29 636 0.237821540462 Henry Cohn, 2026, needs more optimization.
29 637 0.237823140815 Henry Cohn, 2026, needs more optimization.
29 638 0.237827027595 Henry Cohn, 2026, needs more optimization.
29 639 0.237829818521 Henry Cohn, 2026, needs more optimization.
29 640 0.237833079221 Henry Cohn, 2026, needs more optimization.
29 641 0.237835080888 Henry Cohn, 2026, needs more optimization.
29 642 0.237839045703 Henry Cohn, 2026, needs more optimization.
29 643 0.237841983819 Henry Cohn, 2026, needs more optimization.
29 644 0.237845765550 Henry Cohn, 2026, needs more optimization.
29 645 0.237849110604 Henry Cohn, 2026, needs more optimization.
29 646 0.237851470176 Henry Cohn, 2026, needs more optimization.
29 647 0.237853797922 Henry Cohn, 2026, needs more optimization.
29 648 0.237855635134 Henry Cohn, 2026, needs more optimization.
29 649 0.237858785242 Henry Cohn, 2026, needs more optimization.
29 650 0.237860107994 Henry Cohn, 2026, needs more optimization.
29 651 0.237862946190 Henry Cohn, 2026, needs more optimization.
29 652 0.237865845990 Henry Cohn, 2026, needs more optimization.
29 653 0.237868620829 Henry Cohn, 2026, needs more optimization.
29 654 0.237869974310 Henry Cohn, 2026, needs more optimization.
29 655 0.237872939203 Henry Cohn, 2026, needs more optimization.
29 656 0.237875513212 Henry Cohn, 2026, needs more optimization.
29 657 0.237879522931 Henry Cohn, 2026, needs more optimization.
29 658 0.237883618050 Henry Cohn, 2026, needs more optimization.
29 659 0.238013157856 Henry Cohn, 2026, needs more optimization.
29 660 0.238014153755 Henry Cohn, 2026, needs more optimization.
29 661 0.238015231801 Henry Cohn, 2026, needs more optimization.
29 662 0.238016786583 Henry Cohn, 2026, needs more optimization.
29 663 0.238017613584 Henry Cohn, 2026, needs more optimization.
29 664 0.238018675171 Henry Cohn, 2026, needs more optimization.
29 665 0.238020171862 Henry Cohn, 2026, needs more optimization.
29 666 0.238021868215 Henry Cohn, 2026, needs more optimization.
29 667 0.238023785721 Henry Cohn, 2026, needs more optimization.
29 668 0.238024699509 Henry Cohn, 2026, needs more optimization.
29 669 0.238026459886 Henry Cohn, 2026, needs more optimization.
29 670 0.238027786919 Henry Cohn, 2026, needs more optimization.
29 671 0.238029828532 Henry Cohn, 2026, needs more optimization.
29 672 0.238031461306 Henry Cohn, 2026, needs more optimization.
29 673 0.238033567529 Henry Cohn, 2026, needs more optimization.
29 674 0.238035316248 Henry Cohn, 2026, needs more optimization.
29 675 0.238037071561 Henry Cohn, 2026, needs more optimization.
29 676 0.238038397392 Henry Cohn, 2026, needs more optimization.
29 677 0.238039969580 Henry Cohn, 2026, needs more optimization.
29 678 0.238042011597 Henry Cohn, 2026, needs more optimization.
29 679 0.238043638728 Henry Cohn, 2026, needs more optimization.
29 680 0.238045065322 Henry Cohn, 2026, needs more optimization.
29 681 0.238046803966 Henry Cohn, 2026, needs more optimization.
29 682 0.238049473500 Henry Cohn, 2026, needs more optimization.
29 683 0.238051353050 Henry Cohn, 2026, needs more optimization.
29 684 0.238054012848 Henry Cohn, 2026, needs more optimization.
29 685 0.238057970937 Henry Cohn, 2026, needs more optimization.
29 686 0.238084410881 Henry Cohn, 2026, needs more optimization.
29 687 0.238086283835 Henry Cohn, 2026, needs more optimization.
29 688 0.238087987846 Henry Cohn, 2026, needs more optimization.
29 689 0.238091350820 Henry Cohn, 2026, needs more optimization.
29 690 0.238094363162 Henry Cohn, 2026, needs more optimization.
29 691 0.238096986432 Henry Cohn, 2026, needs more optimization.
29 692 0.238101349084 Henry Cohn, 2026, needs more optimization.
29 693 0.238106429026 Henry Cohn, 2026, needs more optimization.
29 694 0.238108665126 Henry Cohn, 2026, needs more optimization.
29 695 0.238111477413 Henry Cohn, 2026, needs more optimization.
29 696 0.238115334707 Henry Cohn, 2026, needs more optimization.
29 697 0.238136752066 Henry Cohn, 2026, needs more optimization.
29 699 0.238140520191 Henry Cohn, 2026, needs more optimization.
29 700 0.238150609824 Henry Cohn, 2026, needs more optimization.
29 701 0.238159491708 Henry Cohn, 2026, needs more optimization.
29 702 0.238176898991 Henry Cohn, 2026, needs more optimization.
29 703 0.238184642820 Henry Cohn, 2026, needs more optimization.
29 704 0.238191059555 Henry Cohn, 2026, needs more optimization.
29 705 0.238196544754 Henry Cohn, 2026, needs more optimization.
29 706 0.238202016768 Henry Cohn, 2026, needs more optimization.
29 707 0.238206516962 Henry Cohn, 2026, needs more optimization.
29 708 0.238233306730 Henry Cohn, 2026, needs more optimization.
29 709 0.238247366228 Henry Cohn, 2026, needs more optimization.
29 710 0.238251062405 Henry Cohn, 2026, needs more optimization.
29 711 0.238255042362 Henry Cohn, 2026, needs more optimization.
29 712 0.238310967742 Henry Cohn, 2026, needs more optimization.
29 713 0.238465968403 Henry Cohn, 2026, needs more optimization.
29 715 0.238481016712 Henry Cohn, 2026, needs more optimization.
29 716 0.238501066713 Henry Cohn, 2026, needs more optimization.
29 717 0.238616874978 Henry Cohn, 2026, needs more optimization.
29 718 0.238626606453 Henry Cohn, 2026, needs more optimization.
29 720 0.242444696007 Henry Cohn, 2026, needs more optimization.
29 722 0.242539448421 Henry Cohn, 2026, needs more optimization.
29 725 0.242578170490 Henry Cohn, 2026, needs more optimization.
29 726 0.242578176152 Henry Cohn, 2026, needs more optimization.
29 727 0.242670340928 Henry Cohn, 2026, needs more optimization.
29 728 0.242736285996 Henry Cohn, 2026, needs more optimization.
29 729 0.242762927528 Henry Cohn, 2026, needs more optimization.
29 730 0.242784493095 Henry Cohn, 2026, needs more optimization.
29 731 0.242837922114 Henry Cohn, 2026, needs more optimization.
29 732 0.242937995253 Henry Cohn, 2026, needs more optimization.
29 734 0.242962089169 Henry Cohn, 2026, needs more optimization.
29 735 0.243226313162 Henry Cohn, 2026, needs more optimization.
29 736 0.243298349818 Henry Cohn, 2026, needs more optimization.
29 739 0.243309850771 Henry Cohn, 2026, needs more optimization.
29 740 0.243374447427 Henry Cohn, 2026, needs more optimization.
29 741 0.243418300839 Henry Cohn, 2026, needs more optimization.
29 742 0.243459297247 Henry Cohn, 2026, needs more optimization.
29 743 0.243518988794 Henry Cohn, 2026, needs more optimization.
29 746 0.243568458438 Henry Cohn, 2026, needs more optimization.
29 747 0.243751537105 Henry Cohn, 2026, needs more optimization.
29 748 0.243754789302 Henry Cohn, 2026, needs more optimization.
29 749 0.243765681524 Henry Cohn, 2026, needs more optimization.
29 750 0.244067557181 Henry Cohn, 2026, needs more optimization.
29 751 0.244085980228 Henry Cohn, 2026, needs more optimization.
29 752 0.244209311213 Henry Cohn, 2026, needs more optimization.
29 753 0.244250426439 Henry Cohn, 2026, needs more optimization.
29 754 0.244347527896 Henry Cohn, 2026, needs more optimization.
29 755 0.244436884926 Henry Cohn, 2026, needs more optimization.
29 756 0.244564315388 Henry Cohn, 2026, needs more optimization.
29 758 0.244599479974 Henry Cohn, 2026, needs more optimization.
29 759 0.244725545968 Henry Cohn, 2026, needs more optimization.
29 760 0.244743684210 Henry Cohn, 2026, needs more optimization.
29 761 0.244893578310 Henry Cohn, 2026, needs more optimization.
29 762 0.244926594023 Henry Cohn, 2026, needs more optimization.
29 763 0.244943394949 Henry Cohn, 2026, needs more optimization.
29 764 0.244999708649 Henry Cohn, 2026, needs more optimization.
29 765 0.245178334939 Henry Cohn, 2026, needs more optimization.
29 766 0.245297292037 Henry Cohn, 2026, needs more optimization.
29 767 0.245309177940 Henry Cohn, 2026, needs more optimization.
29 768 0.245349613583 Henry Cohn, 2026, needs more optimization.
29 769 0.245462735129 Henry Cohn, 2026, needs more optimization.
29 770 0.245479392120 Henry Cohn, 2026, needs more optimization.
29 771 0.245577832702 Henry Cohn, 2026, needs more optimization.
29 772 0.245729332188 Henry Cohn, 2026, needs more optimization.
29 773 0.245757595776 Henry Cohn, 2026, needs more optimization.
29 774 0.245938729624 Henry Cohn, 2026, needs more optimization.
29 775 0.245985452222 Henry Cohn, 2026, needs more optimization.
29 776 0.246101351311 Henry Cohn, 2026, needs more optimization.
29 777 0.246308371789 Henry Cohn, 2026, needs more optimization.
29 778 0.246323881010 Henry Cohn, 2026, needs more optimization.
29 779 0.246347393791 Henry Cohn, 2026, needs more optimization.
29 780 0.246357519525 Henry Cohn, 2026, needs more optimization.
29 782 0.246461589976 Henry Cohn, 2026, needs more optimization.
29 783 0.246534647672 Henry Cohn, 2026, needs more optimization.
29 784 0.246652024289 Henry Cohn, 2026, needs more optimization.
29 785 0.246686294573 Henry Cohn, 2026, needs more optimization.
29 786 0.246714156957 Henry Cohn, 2026, needs more optimization.
29 787 0.246776535613 Henry Cohn, 2026, needs more optimization.
29 788 0.246823544731 Henry Cohn, 2026, needs more optimization.
29 789 0.246834076327 Henry Cohn, 2026, needs more optimization.
29 790 0.246942426154 Henry Cohn, 2026, needs more optimization.
29 791 0.247049087234 Henry Cohn, 2026, needs more optimization.
29 792 0.247079494432 Henry Cohn, 2026, needs more optimization.
29 793 0.247084277295 Henry Cohn, 2026, needs more optimization.
29 794 0.247203998256 Henry Cohn, 2026, needs more optimization.
29 795 0.247288547862 Henry Cohn, 2026, needs more optimization.
29 796 0.247302570564 Henry Cohn, 2026, needs more optimization.
29 797 0.247396893008 Henry Cohn, 2026, needs more optimization.
29 798 0.247436563746 Henry Cohn, 2026, needs more optimization.
29 799 0.247508577308 Henry Cohn, 2026, needs more optimization.
29 800 0.247517965411 Henry Cohn, 2026, needs more optimization.
29 801 0.247531175553 Henry Cohn, 2026, needs more optimization.
29 802 0.247626254943 Henry Cohn, 2026, needs more optimization.
29 803 0.247714998917 Henry Cohn, 2026, needs more optimization.
29 804 0.247772557338 Henry Cohn, 2026, needs more optimization.
29 805 0.247860986923 Henry Cohn, 2026, needs more optimization.
29 806 0.247871618434 Henry Cohn, 2026, needs more optimization.
29 807 0.248037991968 Henry Cohn, 2026, needs more optimization.
29 808 0.248088528677 Henry Cohn, 2026, needs more optimization.
29 809 0.248104246935 Henry Cohn, 2026, needs more optimization.
29 810 0.248154248458 Henry Cohn, 2026, needs more optimization.
29 811 0.248200110408 Henry Cohn, 2026, needs more optimization.
29 812 0.248280580009 Henry Cohn, 2026, needs more optimization.
29 813 0.248307990431 Henry Cohn, 2026, needs more optimization.
29 814 0.248315906371 Henry Cohn, 2026, needs more optimization.
29 815 0.248401929604 Henry Cohn, 2026, needs more optimization.
29 816 0.248409098643 Henry Cohn, 2026, needs more optimization.
29 817 0.248465920321 Henry Cohn, 2026, needs more optimization.
29 818 0.248509410539 Henry Cohn, 2026, needs more optimization.
29 819 0.248573550414 Henry Cohn, 2026, needs more optimization.
29 820 0.248595971562 Henry Cohn, 2026, needs more optimization.
29 821 0.248608648882 Henry Cohn, 2026, needs more optimization.
29 822 0.248655415111 Henry Cohn, 2026, needs more optimization.
29 823 0.248720822346 Henry Cohn, 2026, needs more optimization.
29 824 0.248730085160 Henry Cohn, 2026, needs more optimization.
29 825 0.248744902759 Henry Cohn, 2026, needs more optimization.
29 826 0.248751518835 Henry Cohn, 2026, needs more optimization.
29 827 0.248820492235 Henry Cohn, 2026, needs more optimization.
29 829 0.248851574259 Henry Cohn, 2026, needs more optimization.
29 830 0.248862707546 Henry Cohn, 2026, needs more optimization.
29 831 0.248867884479 Henry Cohn, 2026, needs more optimization.
29 832 0.248905340179 Henry Cohn, 2026, needs more optimization.
29 833 0.248906373937 Henry Cohn, 2026, needs more optimization.
29 834 0.248908738078 Henry Cohn, 2026, needs more optimization.
29 835 0.249043943821 Henry Cohn, 2026, needs more optimization.
29 836 0.249054187973 Henry Cohn, 2026, needs more optimization.
29 837 0.249092631144 Henry Cohn, 2026, needs more optimization.
29 840 0.249094528860 Henry Cohn, 2026, needs more optimization.
29 841 0.249109337186 Henry Cohn, 2026, needs more optimization.
29 842 0.249153990515 Henry Cohn, 2026, needs more optimization.
29 843 0.249158554742 Henry Cohn, 2026, needs more optimization.
29 846 0.249212400750 Henry Cohn, 2026, needs more optimization.
29 847 0.249275072634 Henry Cohn, 2026, needs more optimization.
29 848 0.249307044752 Henry Cohn, 2026, needs more optimization.
29 849 0.249310402060 Henry Cohn, 2026, needs more optimization.
29 850 0.249318350193 Henry Cohn, 2026, needs more optimization.
29 851 0.249417812396 Henry Cohn, 2026, needs more optimization.
29 852 0.249428445171 Henry Cohn, 2026, needs more optimization.
29 854 0.249437766835 Henry Cohn, 2026, needs more optimization.
29 855 0.249467241071 Henry Cohn, 2026, needs more optimization.
29 860 0.249477567599 Henry Cohn, 2026, needs more optimization.
29 861 0.249496970176 Henry Cohn, 2026, needs more optimization.
29 862 0.249528498767 Henry Cohn, 2026, needs more optimization.
29 863 0.249575324893 Henry Cohn, 2026, needs more optimization.
29 867 0.249588790358 Henry Cohn, 2026, needs more optimization.
29 868 0.249608926563 Henry Cohn, 2026, needs more optimization.
29 869 0.249625619651 Henry Cohn, 2026, needs more optimization.
29 873 0.249630471664 Henry Cohn, 2026, needs more optimization.
29 875 0.249652389552 Henry Cohn, 2026, needs more optimization.
29 876 0.249657820117 Henry Cohn, 2026, needs more optimization.
29 878 0.249666535213 Henry Cohn, 2026, needs more optimization.
29 879 0.249671204790 Henry Cohn, 2026, needs more optimization.
29 880 0.249681111258 Henry Cohn, 2026, needs more optimization.
29 881 0.249694920871 Henry Cohn, 2026, needs more optimization.
29 882 0.249699714694 Henry Cohn, 2026, needs more optimization.
29 883 0.249703217253 Henry Cohn, 2026, needs more optimization.
29 884 0.249707234590 Henry Cohn, 2026, needs more optimization.
29 885 0.249712716830 Henry Cohn, 2026, needs more optimization.
29 897 0.249788904448 Henry Cohn, 2026, needs more optimization.
29 898 0.249794865458 Henry Cohn, 2026, needs more optimization.
29 899 0.249807042063 Henry Cohn, 2026, needs more optimization.
29 900 0.249813998916 Henry Cohn, 2026, needs more optimization.
29 901 0.249836869852 Henry Cohn, 2026, needs more optimization.
29 902 0.249837968538 Henry Cohn, 2026, needs more optimization.
29 903 0.249841693598 Henry Cohn, 2026, needs more optimization.
29 905 0.249881740422 Henry Cohn, 2026, needs more optimization.
29 978 0.25 Orthogonal union of 976 points in 28 dimensions and 2 points in 1 dimension.
4⁢x−1
29 982 0.250000621829 Henry Cohn, 2026, needs more optimization.
29 984 0.250000639625 Henry Cohn, 2026, needs more optimization.
29 988 0.250000724827 Henry Cohn, 2026, needs more optimization.
29 991 0.250000894516 Henry Cohn, 2026, needs more optimization.
29 993 0.250001547245 Henry Cohn, 2026, needs more optimization.
29 995 0.250001735201 Henry Cohn, 2026, needs more optimization.
29 999 0.250001754626 Henry Cohn, 2026, needs more optimization.
29 1000 0.250001979762 Henry Cohn, 2026, needs more optimization.
29 1006 0.250002293839 Henry Cohn, 2026, needs more optimization.
29 1020 0.250127685276 Henry Cohn, 2026, needs more optimization.
29 1021 0.250164722078 Henry Cohn, 2026, needs more optimization.
29 1022 0.250179596146 Henry Cohn, 2026, needs more optimization.
29 1023 0.250234924302 Henry Cohn, 2026, needs more optimization.
29 1024 0.250412988779 Henry Cohn, 2026, needs more optimization.
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 0.031274698397 Henry Cohn, 2026.
30 63 0.037893320316 Henry Cohn, 2026.
30 64 0.038348157236 Henry Cohn, 2026.
30 65 0.038479664975 Henry Cohn, 2026.
30 66 0.042449229697 Henry Cohn, 2026, needs more optimization.
30 67 0.043933079772 Henry Cohn, 2026, needs more optimization.
30 68 0.044556632069 Henry Cohn, 2026, needs more optimization.
30 69 0.044563815759 Henry Cohn, 2026, needs more optimization.
30 70 0.044757397041 Henry Cohn, 2026.
30 71 0.049847164675 Henry Cohn, 2026.
30 72 0.051259526089 Henry Cohn, 2026, needs more optimization.
30 73 0.052421740293 Henry Cohn, 2026, needs more optimization.
30 74 0.054131831062 Henry Cohn, 2026, needs more optimization.
30 75 0.056243919645 Henry Cohn, 2026, needs more optimization.
30 76 0.057552662592 Henry Cohn, 2026, needs more optimization.
30 77 0.059053180125 Henry Cohn, 2026, needs more optimization.
30 78 0.060498966176 Henry Cohn, 2026, needs more optimization.
30 79 0.062140014437 Henry Cohn, 2026, needs more optimization.
30 80 0.062598281088 Henry Cohn, 2026, needs more optimization.
30 81 0.062840662714 Henry Cohn, 2026, needs more optimization.
30 82 0.064290492948 Henry Cohn, 2026, needs more optimization.
30 83 0.065112988237 Henry Cohn, 2026, needs more optimization.
30 84 0.066460260059 Henry Cohn, 2026, needs more optimization.
30 85 0.068030499993 Henry Cohn, 2026, needs more optimization.
30 86 0.069489198711 Henry Cohn, 2026, needs more optimization.
30 87 0.070938292085 Henry Cohn, 2026, needs more optimization.
30 88 0.072505464092 Henry Cohn, 2026, needs more optimization.
30 89 0.073901964498 Henry Cohn, 2026, needs more optimization.
30 90 0.074431580844 Henry Cohn, 2026, needs more optimization.
30 91 0.075429099944 Henry Cohn, 2026, needs more optimization.
30 92 0.076276608709 Henry Cohn, 2026, needs more optimization.
30 93 0.076899852995 Henry Cohn, 2026, needs more optimization.
30 94 0.076905065683 Henry Cohn, 2026, needs more optimization.
30 95 0.076937702928 Henry Cohn, 2026, needs more optimization.
30 96 0.077028830974 Henry Cohn, 2026, needs more optimization.
30 97 0.077180806813 Henry Cohn, 2026, needs more optimization.
30 98 0.077277068549 Henry Cohn, 2026, needs more optimization.
30 99 0.077386848172 Henry Cohn, 2026, needs more optimization.
30 100 0.077770052790 Henry Cohn, 2026, needs more optimization.
30 101 0.077936543986 Henry Cohn, 2026, needs more optimization.
30 102 0.078190119620 Henry Cohn, 2026, needs more optimization.
30 103 0.078824462096 Henry Cohn, 2026, needs more optimization.
30 104 0.079148120813 Henry Cohn, 2026, needs more optimization.
30 105 0.079626581421 Henry Cohn, 2026, needs more optimization.
30 106 0.080491310066 Henry Cohn, 2026, needs more optimization.
30 107 0.080667019097 Henry Cohn, 2026, needs more optimization.
30 108 0.080814373233 Henry Cohn, 2026, needs more optimization.
30 109 0.081524428652 Henry Cohn, 2026, needs more optimization.
30 110 0.082137983873 Henry Cohn, 2026, needs more optimization.
30 111 0.082309250503 Henry Cohn, 2026, needs more optimization.
30 112 0.083254192355 Henry Cohn, 2026, needs more optimization.
30 113 0.085104782328 Henry Cohn, 2026, needs more optimization.
30 114 0.086333380579 Orthogonal union of 112 points in 29 dimensions and 2 points in 1 dimension.
111⁢x2+2⁢x−1
30 115 0.087985547462 Henry Cohn, 2026, needs more optimization.
30 116 0.088188744944 Henry Cohn, 2026, needs more optimization.
30 117 0.088552613743 Henry Cohn, 2026, needs more optimization.
30 118 0.089022485384 Henry Cohn, 2026, needs more optimization.
30 119 0.089356232383 Henry Cohn, 2026, needs more optimization.
30 120 0.089668039954 Henry Cohn, 2026, needs more optimization.
30 121 0.090037043638 Henry Cohn, 2026, needs more optimization.
30 122 0.090225927366 Henry Cohn, 2026, needs more optimization.
30 123 0.090523748851 Henry Cohn, 2026, needs more optimization.
30 124 0.090790891859 Henry Cohn, 2026, needs more optimization.
30 125 0.090956360892 Henry Cohn, 2026, needs more optimization.
30 126 0.091624817005 Henry Cohn, 2026, needs more optimization.
30 127 0.092702729313 Henry Cohn, 2026, needs more optimization.
30 128 0.094001976925 Henry Cohn, 2026, needs more optimization.
30 129 0.095273773324 Henry Cohn, 2026, needs more optimization.
30 130 0.097292741754 Henry Cohn, 2026, needs more optimization.
30 131 0.098512387987 Henry Cohn, 2026, needs more optimization.
30 132 0.099549074965 Henry Cohn, 2026, needs more optimization.
30 133 0.100627373644 Henry Cohn, 2026, needs more optimization.
30 134 0.102005780605 Henry Cohn, 2026, needs more optimization.
30 135 0.102474515394 Henry Cohn, 2026, needs more optimization.
30 136 0.102554222719 Henry Cohn, 2026, needs more optimization.
30 137 0.102576170200 Henry Cohn, 2026, needs more optimization.
30 138 0.102582650910 Henry Cohn, 2026, needs more optimization.
30 139 0.102602939423 Henry Cohn, 2026, needs more optimization.
30 140 0.102650767816 Henry Cohn, 2026, needs more optimization.
30 141 0.102673058305 Henry Cohn, 2026, needs more optimization.
30 142 0.103624116856 Henry Cohn, 2026, needs more optimization.
30 143 0.105326756071 Henry Cohn, 2026, needs more optimization.
30 144 0.106167450025 Henry Cohn, 2026, needs more optimization.
30 145 0.107203602588 Henry Cohn, 2026, needs more optimization.
30 146 0.108220462296 Henry Cohn, 2026, needs more optimization.
30 147 0.108866104743 Henry Cohn, 2026, needs more optimization.
30 148 0.109073451932 Henry Cohn, 2026, needs more optimization.
30 149 0.109650972657 Henry Cohn, 2026, needs more optimization.
30 150 0.110161927496 Henry Cohn, 2026, needs more optimization.
30 151 0.110744160769 Henry Cohn, 2026, needs more optimization.
30 152 0.111074171754 Henry Cohn, 2026, needs more optimization.
30 153 0.111087776841 Henry Cohn, 2026, needs more optimization.
30 154 0.111092292259 Henry Cohn, 2026, needs more optimization.
30 155 0.111100541082 Henry Cohn, 2026, needs more optimization.
30 156 0.111108882908 Henry Cohn, 2026, needs more optimization.
30 157 0.111112454438 Henry Cohn, 2026, needs more optimization.
30 158 0.111125684584 Henry Cohn, 2026, needs more optimization.
30 159 0.112283545719 Henry Cohn, 2026, needs more optimization.
30 160 0.113646286854 Henry Cohn, 2026, needs more optimization.
30 161 0.115772980466 Henry Cohn, 2026, needs more optimization.
30 162 0.117269804522 Henry Cohn, 2026, needs more optimization.
30 163 0.118961066620 Henry Cohn, 2026, needs more optimization.
30 164 0.120040444799 Henry Cohn, 2026, needs more optimization.
30 165 0.120969842698 Henry Cohn, 2026, needs more optimization.
30 166 0.121727487001 Henry Cohn, 2026, needs more optimization.
30 167 0.121977498032 Henry Cohn, 2026, needs more optimization.
30 168 0.122829734614 Henry Cohn, 2026, needs more optimization.
30 169 0.123550450734 Henry Cohn, 2026, needs more optimization.
30 170 0.124639117966 Henry Cohn, 2026, needs more optimization.
30 171 0.126576867827 Henry Cohn, 2026, needs more optimization.
30 172 0.127612427267 Henry Cohn, 2026, needs more optimization.
30 173 0.128234743929 Henry Cohn, 2026, needs more optimization.
30 186 0.128238684469 Orthogonal union of 182 points in 28 dimensions and 4 points in 2 dimensions.
92⁢x2−4⁢x−1
30 187 0.128240955668 Henry Cohn, 2026, needs more optimization.
30 188 0.128253911398 Henry Cohn, 2026, needs more optimization.
30 189 0.128501626758 Henry Cohn, 2026, needs more optimization.
30 190 0.129252163285 Henry Cohn, 2026, needs more optimization.
30 191 0.130299017448 Henry Cohn, 2026, needs more optimization.
30 192 0.132023936274 Henry Cohn, 2026, needs more optimization.
30 193 0.133234112007 Henry Cohn, 2026, needs more optimization.
30 194 0.135051390573 Henry Cohn, 2026, needs more optimization.
30 195 0.136141420059 Henry Cohn, 2026, needs more optimization.
30 196 0.137162272858 Henry Cohn, 2026, needs more optimization.
30 197 0.137965894920 Henry Cohn, 2026, needs more optimization.
30 198 0.138517739496 Henry Cohn, 2026, needs more optimization.
30 199 0.139406147392 Henry Cohn, 2026, needs more optimization.
30 200 0.140310314368 Henry Cohn, 2026, needs more optimization.
30 201 0.141157446310 Henry Cohn, 2026, needs more optimization.
30 202 0.141184846473 Henry Cohn, 2026, needs more optimization.
30 203 0.141279307804 Henry Cohn, 2026, needs more optimization.
30 204 0.141306217442 Henry Cohn, 2026, needs more optimization.
30 205 0.141407309101 Henry Cohn, 2026, needs more optimization.
30 206 0.141521484886 Henry Cohn, 2026, needs more optimization.
30 207 0.141570460790 Henry Cohn, 2026, needs more optimization.
30 208 0.141645555176 Henry Cohn, 2026, needs more optimization.
30 209 0.141837625195 Henry Cohn, 2026, needs more optimization.
30 210 0.141992568954 Henry Cohn, 2026, needs more optimization.
30 211 0.142201005194 Henry Cohn, 2026, needs more optimization.
30 212 0.142296643107 Henry Cohn, 2026, needs more optimization.
30 213 0.142299854226 Henry Cohn, 2026, needs more optimization.
30 214 0.142368264374 Henry Cohn, 2026, needs more optimization.
30 215 0.142512555765 Henry Cohn, 2026, needs more optimization.
30 216 0.142827784757 Henry Cohn, 2026, needs more optimization.
30 217 0.142871423957 Henry Cohn, 2026, needs more optimization.
30 218 0.143128476635 Henry Cohn, 2026, needs more optimization.
30 219 0.143711246788 Henry Cohn, 2026, needs more optimization.
30 220 0.143960995079 Henry Cohn, 2026, needs more optimization.
30 221 0.144389951345 Henry Cohn, 2026, needs more optimization.
30 222 0.144505708968 Henry Cohn, 2026, needs more optimization.
30 223 0.144862652405 Henry Cohn, 2026, needs more optimization.
30 224 0.144985241112 Henry Cohn, 2026, needs more optimization.
30 225 0.145270678594 Henry Cohn, 2026, needs more optimization.
30 226 0.145426175198 Henry Cohn, 2026, needs more optimization.
30 227 0.145574947337 Henry Cohn, 2026, needs more optimization.
30 228 0.145968357984 Henry Cohn, 2026, needs more optimization.
30 229 0.146440827758 Henry Cohn, 2026, needs more optimization.
30 230 0.146499552428 Henry Cohn, 2026, needs more optimization.
30 231 0.146640613919 Henry Cohn, 2026, needs more optimization.
30 232 0.146757523183 Henry Cohn, 2026, needs more optimization.
30 233 0.146931852574 Henry Cohn, 2026, needs more optimization.
30 234 0.147021530243 Henry Cohn, 2026, needs more optimization.
30 235 0.147088275588 Henry Cohn, 2026, needs more optimization.
30 237 0.147102976680 Orthogonal union of 235 points in 29 dimensions and 2 points in 1 dimension.
87⁢x2−6⁢x−1
30 238 0.147108269142 Henry Cohn, 2026, needs more optimization.
30 239 0.147112434391 Henry Cohn, 2026, needs more optimization.
30 240 0.147150025959 Henry Cohn, 2026, needs more optimization.
30 241 0.147157270241 Henry Cohn, 2026, needs more optimization.
30 242 0.147842940139 Henry Cohn, 2026, needs more optimization.
30 243 0.147843772087 Henry Cohn, 2026, needs more optimization.
30 244 0.147881666202 Henry Cohn, 2026, needs more optimization.
30 245 0.147882307213 Henry Cohn, 2026, needs more optimization.
30 246 0.147940417092 Henry Cohn, 2026, needs more optimization.
30 247 0.147941431885 Henry Cohn, 2026, needs more optimization.
30 248 0.147981543268 Henry Cohn, 2026, needs more optimization.
30 249 0.147987349737 Henry Cohn, 2026, needs more optimization.
30 250 0.148006356789 Henry Cohn, 2026, needs more optimization.
30 251 0.148119667195 Henry Cohn, 2026, needs more optimization.
30 252 0.148331755046 Henry Cohn, 2026, needs more optimization.
30 253 0.148503558657 Henry Cohn, 2026, needs more optimization.
30 254 0.148996402456 Henry Cohn, 2026, needs more optimization.
30 255 0.149533050196 Henry Cohn, 2026, needs more optimization.
30 256 0.149946821266 Henry Cohn, 2026, needs more optimization.
30 257 0.150672084720 Henry Cohn, 2026, needs more optimization.
30 258 0.150840153974 Henry Cohn, 2026, needs more optimization.
30 259 0.151551210000 Henry Cohn, 2026, needs more optimization.
30 260 0.152184390987 Henry Cohn, 2026, needs more optimization.
30 261 0.153138283789 Henry Cohn, 2026, needs more optimization.
30 262 0.153649385833 Henry Cohn, 2026, needs more optimization.
30 263 0.154257808350 Henry Cohn, 2026, needs more optimization.
30 264 0.154839086131 Henry Cohn, 2026, needs more optimization.
30 265 0.155664006142 Henry Cohn, 2026, needs more optimization.
30 266 0.156497218796 Henry Cohn, 2026, needs more optimization.
30 267 0.157033884472 Henry Cohn, 2026, needs more optimization.
30 268 0.157488318948 Henry Cohn, 2026, needs more optimization.
30 269 0.158216861516 Henry Cohn, 2026, needs more optimization.
30 270 0.158917562300 Henry Cohn, 2026, needs more optimization.
30 271 0.159561095420 Henry Cohn, 2026, needs more optimization.
30 272 0.160226653637 Henry Cohn, 2026, needs more optimization.
30 273 0.160858581393 Henry Cohn, 2026, needs more optimization.
30 274 0.161503292922 Henry Cohn, 2026, needs more optimization.
30 275 0.161795369098 Henry Cohn, 2026, needs more optimization.
30 276 0.161840117122 Henry Cohn, 2026, needs more optimization.
30 277 0.161853096280 Henry Cohn, 2026, needs more optimization.
30 278 0.161892367658 Henry Cohn, 2026, needs more optimization.
30 279 0.161898945550 Henry Cohn, 2026, needs more optimization.
30 280 0.161916927655 Henry Cohn, 2026, needs more optimization.
30 281 0.161984073619 Henry Cohn, 2026, needs more optimization.
30 282 0.162020369024 Henry Cohn, 2026, needs more optimization.
30 283 0.162125275959 Henry Cohn, 2026, needs more optimization.
30 284 0.162328778699 Henry Cohn, 2026, needs more optimization.
30 285 0.162391869100 Henry Cohn, 2026, needs more optimization.
30 286 0.162531985825 Henry Cohn, 2026, needs more optimization.
30 287 0.162787696101 Henry Cohn, 2026, needs more optimization.
30 288 0.162894369445 Henry Cohn, 2026, needs more optimization.
30 289 0.163011760480 Henry Cohn, 2026, needs more optimization.
30 290 0.163071982134 Henry Cohn, 2026, needs more optimization.
30 291 0.163200247088 Henry Cohn, 2026, needs more optimization.
30 292 0.163351216660 Henry Cohn, 2026, needs more optimization.
30 293 0.163378914665 Henry Cohn, 2026, needs more optimization.
30 294 0.163472108612 Henry Cohn, 2026, needs more optimization.
30 295 0.163595844233 Henry Cohn, 2026, needs more optimization.
30 296 0.163636854058 Henry Cohn, 2026, needs more optimization.
30 297 0.163704569934 Henry Cohn, 2026, needs more optimization.
30 298 0.163761400081 Henry Cohn, 2026, needs more optimization.
30 299 0.163875686134 Henry Cohn, 2026, needs more optimization.
30 300 0.163944002823 Henry Cohn, 2026, needs more optimization.
30 301 0.164055532392 Henry Cohn, 2026, needs more optimization.
30 302 0.164194264305 Henry Cohn, 2026, needs more optimization.
30 303 0.164438177211 Henry Cohn, 2026, needs more optimization.
30 304 0.164577616442 Henry Cohn, 2026, needs more optimization.
30 305 0.164712645866 Henry Cohn, 2026, needs more optimization.
30 306 0.164773872296 Henry Cohn, 2026, needs more optimization.
30 307 0.164827447685 Henry Cohn, 2026, needs more optimization.
30 308 0.165011545532 Henry Cohn, 2026, needs more optimization.
30 309 0.165103707901 Henry Cohn, 2026, needs more optimization.
30 310 0.165139616966 Henry Cohn, 2026, needs more optimization.
30 311 0.165228913133 Henry Cohn, 2026, needs more optimization.
30 312 0.165280702481 Henry Cohn, 2026, needs more optimization.
30 313 0.165330467750 Henry Cohn, 2026, needs more optimization.
30 314 0.165399732422 Henry Cohn, 2026, needs more optimization.
30 315 0.165506772534 Henry Cohn, 2026, needs more optimization.
30 316 0.165610450605 Henry Cohn, 2026, needs more optimization.
30 317 0.165711848795 Henry Cohn, 2026, needs more optimization.
30 318 0.165793991670 Henry Cohn, 2026, needs more optimization.
30 319 0.165893317837 Henry Cohn, 2026, needs more optimization.
30 320 0.165938617465 Henry Cohn, 2026, needs more optimization.
30 321 0.166084241615 Henry Cohn, 2026, needs more optimization.
30 322 0.166198795660 Henry Cohn, 2026, needs more optimization.
30 323 0.166317827950 Henry Cohn, 2026, needs more optimization.
30 324 0.166383798527 Henry Cohn, 2026, needs more optimization.
30 325 0.166473282417 Henry Cohn, 2026, needs more optimization.
30 326 0.166576541390 Henry Cohn, 2026, needs more optimization.
30 327 0.166606261935 Henry Cohn, 2026, needs more optimization.
30 328 0.166622628624 Henry Cohn, 2026, needs more optimization.
30 329 0.166637854961 Henry Cohn, 2026, needs more optimization.
30 330 0.166642744502 Henry Cohn, 2026, needs more optimization.
30 331 0.166662157956 Henry Cohn, 2026, needs more optimization.
30 332 0.166686000975 Henry Cohn, 2026, needs more optimization.
30 333 0.166698264086 Henry Cohn, 2026, needs more optimization.
30 334 0.166768078464 Henry Cohn, 2026, needs more optimization.
30 335 0.166863883556 Henry Cohn, 2026, needs more optimization.
30 336 0.167035294553 Henry Cohn, 2026, needs more optimization.
30 337 0.167186585874 Henry Cohn, 2026, needs more optimization.
30 338 0.167268834199 Henry Cohn, 2026, needs more optimization.
30 339 0.167380591966 Henry Cohn, 2026, needs more optimization.
30 340 0.167823021706 Henry Cohn, 2026, needs more optimization.
30 341 0.168185302834 Henry Cohn, 2026, needs more optimization.
30 342 0.168372380568 Henry Cohn, 2026, needs more optimization.
30 343 0.169681561997 Henry Cohn, 2026, needs more optimization.
30 344 0.170261252799 Henry Cohn, 2026, needs more optimization.
30 345 0.171269146499 Henry Cohn, 2026, needs more optimization.
30 346 0.171722366274 Henry Cohn, 2026, needs more optimization.
30 347 0.172595099680 Henry Cohn, 2026, needs more optimization.
30 348 0.172783709847 Henry Cohn, 2026, needs more optimization.
30 349 0.173967463793 Henry Cohn, 2026, needs more optimization.
30 350 0.174642382366 Henry Cohn, 2026, needs more optimization.
30 351 0.174836620147 Henry Cohn, 2026, needs more optimization.
30 352 0.175870545421 Henry Cohn, 2026, needs more optimization.
30 353 0.176448650188 Henry Cohn, 2026, needs more optimization.
30 354 0.177016324911 Henry Cohn, 2026, needs more optimization.
30 355 0.177515194574 Henry Cohn, 2026, needs more optimization.
30 356 0.178270510045 Henry Cohn, 2026, needs more optimization.
30 357 0.178734069876 Henry Cohn, 2026, needs more optimization.
30 358 0.179313002697 Henry Cohn, 2026, needs more optimization.
30 359 0.179918370272 Henry Cohn, 2026, needs more optimization.
30 360 0.180465533130 Henry Cohn, 2026, needs more optimization.
30 361 0.180705539243 Henry Cohn, 2026, needs more optimization.
30 362 0.181144392812 Henry Cohn, 2026, needs more optimization.
30 363 0.181436186435 Henry Cohn, 2026, needs more optimization.
30 364 0.182290715861 Henry Cohn, 2026, needs more optimization.
30 365 0.182359464271 Henry Cohn, 2026, needs more optimization.
30 366 0.182852980228 Henry Cohn, 2026, needs more optimization.
30 367 0.183035481567 Henry Cohn, 2026, needs more optimization.
30 368 0.183271751802 Henry Cohn, 2026, needs more optimization.
30 369 0.183491792367 Henry Cohn, 2026, needs more optimization.
30 370 0.185071855777 Henry Cohn, 2026, needs more optimization.
30 371 0.185165909628 Henry Cohn, 2026, needs more optimization.
30 372 0.185526745080 Henry Cohn, 2026, needs more optimization.
30 373 0.185854472206 Henry Cohn, 2026, needs more optimization.
30 374 0.186635830423 Henry Cohn, 2026, needs more optimization.
30 375 0.186788774202 Henry Cohn, 2026, needs more optimization.
30 376 0.186976669073 Henry Cohn, 2026, needs more optimization.
30 377 0.187120933155 Henry Cohn, 2026, needs more optimization.
30 378 0.187134905509 Henry Cohn, 2026, needs more optimization.
30 379 0.187295833769 Henry Cohn, 2026, needs more optimization.
30 380 0.187361874319 Henry Cohn, 2026, needs more optimization.
30 381 0.187364777396 Henry Cohn, 2026, needs more optimization.
30 382 0.187376162745 Henry Cohn, 2026, needs more optimization.
30 383 0.187531972525 Henry Cohn, 2026, needs more optimization.
30 384 0.187873133139 Henry Cohn, 2026, needs more optimization.
30 385 0.187974413821 Henry Cohn, 2026, needs more optimization.
30 386 0.188001585165 Henry Cohn, 2026, needs more optimization.
30 387 0.188040567516 Henry Cohn, 2026, needs more optimization.
30 388 0.188625525601 Henry Cohn, 2026, needs more optimization.
30 389 0.188732018957 Henry Cohn, 2026, needs more optimization.
30 390 0.188773507359 Henry Cohn, 2026, needs more optimization.
30 391 0.189105359762 Henry Cohn, 2026, needs more optimization.
30 392 0.189144818788 Henry Cohn, 2026, needs more optimization.
30 393 0.189549005875 Henry Cohn, 2026, needs more optimization.
30 394 0.189602226757 Henry Cohn, 2026, needs more optimization.
30 395 0.189956468667 Henry Cohn, 2026, needs more optimization.
30 396 0.190075692873 Henry Cohn, 2026, needs more optimization.
30 397 0.190381224284 Henry Cohn, 2026, needs more optimization.
30 398 0.190699137045 Henry Cohn, 2026, needs more optimization.
30 399 0.190755659288 Henry Cohn, 2026, needs more optimization.
30 400 0.191291034452 Henry Cohn, 2026, needs more optimization.
30 401 0.191531151620 Henry Cohn, 2026, needs more optimization.
30 402 0.191658690153 Henry Cohn, 2026, needs more optimization.
30 403 0.192221730763 Henry Cohn, 2026, needs more optimization.
30 404 0.192382159611 Henry Cohn, 2026, needs more optimization.
30 405 0.192572257754 Henry Cohn, 2026, needs more optimization.
30 406 0.192900104370 Henry Cohn, 2026, needs more optimization.
30 407 0.193136712684 Henry Cohn, 2026, needs more optimization.
30 408 0.193222291552 Henry Cohn, 2026, needs more optimization.
30 409 0.193565307324 Henry Cohn, 2026, needs more optimization.
30 410 0.193866620470 Henry Cohn, 2026, needs more optimization.
30 411 0.194179704936 Henry Cohn, 2026, needs more optimization.
30 412 0.194435996080 Henry Cohn, 2026, needs more optimization.
30 453 0.194630872484 Orthogonal union of 451 points in 29 dimensions and 2 points in 1 dimension.
149⁢x−29
30 454 0.194646127271 Henry Cohn, 2026, needs more optimization.
30 455 0.198032202105 Henry Cohn, 2026, needs more optimization.
30 456 0.198056289509 Henry Cohn, 2026, needs more optimization.
30 457 0.198110962575 Henry Cohn, 2026, needs more optimization.
30 458 0.198138088802 Henry Cohn, 2026, needs more optimization.
30 459 0.198160698599 Henry Cohn, 2026, needs more optimization.
30 460 0.198226193037 Henry Cohn, 2026, needs more optimization.
30 461 0.198241810391 Henry Cohn, 2026, needs more optimization.
30 462 0.198385307700 Henry Cohn, 2026, needs more optimization.
30 463 0.198493126595 Henry Cohn, 2026, needs more optimization.
30 464 0.198530136511 Henry Cohn, 2026, needs more optimization.
30 465 0.198565310536 Henry Cohn, 2026, needs more optimization.
30 466 0.198587124387 Henry Cohn, 2026, needs more optimization.
30 467 0.198644051259 Henry Cohn, 2026, needs more optimization.
30 468 0.198660976099 Henry Cohn, 2026, needs more optimization.
30 469 0.198706833511 Henry Cohn, 2026, needs more optimization.
30 470 0.198791017974 Henry Cohn, 2026, needs more optimization.
30 471 0.198821257289 Henry Cohn, 2026, needs more optimization.
30 472 0.198925951969 Henry Cohn, 2026, needs more optimization.
30 473 0.198945693649 Henry Cohn, 2026, needs more optimization.
30 474 0.199016041415 Henry Cohn, 2026, needs more optimization.
30 475 0.199074474325 Henry Cohn, 2026, needs more optimization.
30 476 0.199096328629 Henry Cohn, 2026, needs more optimization.
30 477 0.199172558057 Henry Cohn, 2026, needs more optimization.
30 478 0.199178925987 Henry Cohn, 2026, needs more optimization.
30 479 0.199207803425 Henry Cohn, 2026, needs more optimization.
30 480 0.199270066092 Henry Cohn, 2026, needs more optimization.
30 481 0.199289756450 Henry Cohn, 2026, needs more optimization.
30 482 0.199293419769 Henry Cohn, 2026, needs more optimization.
30 483 0.199327789237 Henry Cohn, 2026, needs more optimization.
30 484 0.199356850816 Henry Cohn, 2026, needs more optimization.
30 485 0.199377947629 Henry Cohn, 2026, needs more optimization.
30 486 0.199382853595 Henry Cohn, 2026, needs more optimization.
30 487 0.199386237835 Henry Cohn, 2026, needs more optimization.
30 488 0.199431192770 Henry Cohn, 2026, needs more optimization.
30 489 0.199467728725 Henry Cohn, 2026, needs more optimization.
30 490 0.199492207194 Henry Cohn, 2026, needs more optimization.
30 491 0.199501736905 Henry Cohn, 2026, needs more optimization.
30 492 0.199506661093 Henry Cohn, 2026, needs more optimization.
30 493 0.199512684634 Henry Cohn, 2026, needs more optimization.
30 494 0.199523464676 Henry Cohn, 2026, needs more optimization.
30 495 0.199525137799 Henry Cohn, 2026, needs more optimization.
30 496 0.199530913101 Henry Cohn, 2026, needs more optimization.
30 497 0.199537393738 Henry Cohn, 2026, needs more optimization.
30 498 0.199541550590 Henry Cohn, 2026, needs more optimization.
30 499 0.199546094035 Henry Cohn, 2026, needs more optimization.
30 500 0.199550931270 Henry Cohn, 2026, needs more optimization.
30 501 0.199555887884 Henry Cohn, 2026, needs more optimization.
30 502 0.199625485406 Henry Cohn, 2026, needs more optimization.
30 503 0.199628857361 Henry Cohn, 2026, needs more optimization.
30 504 0.199632339020 Henry Cohn, 2026, needs more optimization.
30 505 0.199635824286 Henry Cohn, 2026, needs more optimization.
30 506 0.199663104715 Henry Cohn, 2026, needs more optimization.
30 507 0.199669265154 Henry Cohn, 2026, needs more optimization.
30 508 0.199687541674 Henry Cohn, 2026, needs more optimization.
30 509 0.199721454427 Henry Cohn, 2026, needs more optimization.
30 510 0.199726692145 Henry Cohn, 2026, needs more optimization.
30 511 0.199734230340 Henry Cohn, 2026, needs more optimization.
30 512 0.199791678942 Henry Cohn, 2026, needs more optimization.
30 513 0.199801102072 Henry Cohn, 2026, needs more optimization.
30 514 0.199833008811 Henry Cohn, 2026, needs more optimization.
30 515 0.199838421776 Henry Cohn, 2026, needs more optimization.
30 516 0.199842470718 Henry Cohn, 2026, needs more optimization.
30 517 0.199847660783 Henry Cohn, 2026, needs more optimization.
30 518 0.199856223034 Henry Cohn, 2026, needs more optimization.
30 519 0.199860521976 Henry Cohn, 2026, needs more optimization.
30 520 0.199864826816 Henry Cohn, 2026, needs more optimization.
30 521 0.199875830441 Henry Cohn, 2026, needs more optimization.
30 522 0.199887920170 Henry Cohn, 2026, needs more optimization.
30 523 0.199890973291 Henry Cohn, 2026, needs more optimization.
30 524 0.199902467476 Henry Cohn, 2026, needs more optimization.
30 525 0.199911302272 Henry Cohn, 2026, needs more optimization.
30 526 0.199930302836 Henry Cohn, 2026, needs more optimization.
30 527 0.199934205271 Henry Cohn, 2026, needs more optimization.
30 528 0.199936688602 Henry Cohn, 2026, needs more optimization.
30 529 0.199941452139 Henry Cohn, 2026, needs more optimization.
30 530 0.199951722855 Henry Cohn, 2026, needs more optimization.
30 531 0.199956353824 Henry Cohn, 2026, needs more optimization.
30 532 0.199959925901 Henry Cohn, 2026, needs more optimization.
30 533 0.199962653892 Henry Cohn, 2026, needs more optimization.
30 534 0.199965050767 Henry Cohn, 2026, needs more optimization.
30 535 0.199968497776 Henry Cohn, 2026, needs more optimization.
30 536 0.199972453062 Henry Cohn, 2026, needs more optimization.
30 537 0.199978256201 Henry Cohn, 2026, needs more optimization.
30 538 0.199982192362 Henry Cohn, 2026, needs more optimization.
30 539 0.199989655266 Henry Cohn, 2026, needs more optimization.
30 540 0.199996780276 Henry Cohn, 2026, needs more optimization.
30 656 0.2 Henry Cohn, 2026.
5⁢x−1
30 657 0.203357314626 Henry Cohn, 2026, needs more optimization.
30 658 0.237113814712 Henry Cohn, 2026, needs more optimization.
30 659 0.237121089270 Henry Cohn, 2026, needs more optimization.
30 660 0.237213447225 Henry Cohn, 2026, needs more optimization.
30 661 0.237218045449 Henry Cohn, 2026, needs more optimization.
30 662 0.237225472248 Henry Cohn, 2026, needs more optimization.
30 663 0.237229633040 Henry Cohn, 2026, needs more optimization.
30 664 0.237234017543 Henry Cohn, 2026, needs more optimization.
30 665 0.237241450834 Henry Cohn, 2026, needs more optimization.
30 666 0.237246110030 Henry Cohn, 2026, needs more optimization.
30 667 0.237250254382 Henry Cohn, 2026, needs more optimization.
30 668 0.237256309546 Henry Cohn, 2026, needs more optimization.
30 669 0.237272446070 Henry Cohn, 2026, needs more optimization.
30 670 0.237278620716 Henry Cohn, 2026, needs more optimization.
30 671 0.237286827896 Henry Cohn, 2026, needs more optimization.
30 672 0.237290542152 Henry Cohn, 2026, needs more optimization.
30 673 0.237511161353 Henry Cohn, 2026, needs more optimization.
30 674 0.237515407633 Henry Cohn, 2026, needs more optimization.
30 675 0.237519809354 Henry Cohn, 2026, needs more optimization.
30 676 0.237522541333 Henry Cohn, 2026, needs more optimization.
30 677 0.237526135837 Henry Cohn, 2026, needs more optimization.
30 678 0.237529754043 Henry Cohn, 2026, needs more optimization.
30 679 0.237532487037 Henry Cohn, 2026, needs more optimization.
30 680 0.237536968078 Henry Cohn, 2026, needs more optimization.
30 681 0.237540937761 Henry Cohn, 2026, needs more optimization.
30 682 0.237544121828 Henry Cohn, 2026, needs more optimization.
30 683 0.237548109421 Henry Cohn, 2026, needs more optimization.
30 684 0.237550608159 Henry Cohn, 2026, needs more optimization.
30 685 0.237554908102 Henry Cohn, 2026, needs more optimization.
30 686 0.237561296305 Henry Cohn, 2026, needs more optimization.
30 687 0.237566930281 Henry Cohn, 2026, needs more optimization.
30 688 0.237712864170 Henry Cohn, 2026, needs more optimization.
30 689 0.237715974347 Henry Cohn, 2026, needs more optimization.
30 690 0.237720916617 Henry Cohn, 2026, needs more optimization.
30 691 0.237727179454 Henry Cohn, 2026, needs more optimization.
30 692 0.237728154997 Henry Cohn, 2026, needs more optimization.
30 693 0.237731410637 Henry Cohn, 2026, needs more optimization.
30 694 0.237734886588 Henry Cohn, 2026, needs more optimization.
30 695 0.237738234662 Henry Cohn, 2026, needs more optimization.
30 696 0.237742534506 Henry Cohn, 2026, needs more optimization.
30 697 0.237744975264 Henry Cohn, 2026, needs more optimization.
30 698 0.237746944146 Henry Cohn, 2026, needs more optimization.
30 699 0.237750533247 Henry Cohn, 2026, needs more optimization.
30 700 0.237752864784 Henry Cohn, 2026, needs more optimization.
30 701 0.237758594680 Henry Cohn, 2026, needs more optimization.
30 702 0.237762210714 Henry Cohn, 2026, needs more optimization.
30 703 0.237766831357 Henry Cohn, 2026, needs more optimization.
30 704 0.237771964688 Henry Cohn, 2026, needs more optimization.
30 705 0.237775480392 Henry Cohn, 2026, needs more optimization.
30 706 0.237780716336 Henry Cohn, 2026, needs more optimization.
30 707 0.238023330066 Henry Cohn, 2026, needs more optimization.
30 708 0.238025290456 Henry Cohn, 2026, needs more optimization.
30 709 0.238026994956 Henry Cohn, 2026, needs more optimization.
30 710 0.238029226373 Henry Cohn, 2026, needs more optimization.
30 711 0.238031017586 Henry Cohn, 2026, needs more optimization.
30 712 0.238032151616 Henry Cohn, 2026, needs more optimization.
30 713 0.238034133327 Henry Cohn, 2026, needs more optimization.
30 714 0.238036671730 Henry Cohn, 2026, needs more optimization.
30 715 0.238038812770 Henry Cohn, 2026, needs more optimization.
30 716 0.238041330654 Henry Cohn, 2026, needs more optimization.
30 717 0.238044777056 Henry Cohn, 2026, needs more optimization.
30 718 0.238046465683 Henry Cohn, 2026, needs more optimization.
30 719 0.238052431989 Henry Cohn, 2026, needs more optimization.
30 720 0.238088593458 Henry Cohn, 2026, needs more optimization.
30 721 0.239174994586 Henry Cohn, 2026, needs more optimization.
30 722 0.239184502654 Henry Cohn, 2026, needs more optimization.
30 723 0.239187730639 Henry Cohn, 2026, needs more optimization.
30 724 0.239194698560 Henry Cohn, 2026, needs more optimization.
30 725 0.239420711462 Henry Cohn, 2026, needs more optimization.
30 726 0.239432431881 Henry Cohn, 2026, needs more optimization.
30 727 0.239469170058 Henry Cohn, 2026, needs more optimization.
30 728 0.239582490101 Henry Cohn, 2026, needs more optimization.
30 729 0.239595923018 Henry Cohn, 2026, needs more optimization.
30 730 0.239599139298 Henry Cohn, 2026, needs more optimization.
30 731 0.239603064727 Henry Cohn, 2026, needs more optimization.
30 732 0.239610912207 Henry Cohn, 2026, needs more optimization.
30 733 0.239836223525 Henry Cohn, 2026, needs more optimization.
30 734 0.239842226688 Henry Cohn, 2026, needs more optimization.
30 735 0.239877738067 Henry Cohn, 2026, needs more optimization.
30 736 0.239951486419 Henry Cohn, 2026, needs more optimization.
30 737 0.239998744762 Henry Cohn, 2026, needs more optimization.
30 738 0.240137867080 Henry Cohn, 2026, needs more optimization.
30 739 0.240287623373 Henry Cohn, 2026, needs more optimization.
30 740 0.240292486982 Henry Cohn, 2026, needs more optimization.
30 741 0.240392134482 Henry Cohn, 2026, needs more optimization.
30 742 0.240395545470 Henry Cohn, 2026, needs more optimization.
30 743 0.240415738589 Henry Cohn, 2026, needs more optimization.
30 744 0.240419096749 Henry Cohn, 2026, needs more optimization.
30 745 0.240685537159 Henry Cohn, 2026, needs more optimization.
30 746 0.240696131306 Henry Cohn, 2026, needs more optimization.
30 747 0.240768418377 Henry Cohn, 2026, needs more optimization.
30 748 0.240794580584 Henry Cohn, 2026, needs more optimization.
30 749 0.240796437467 Henry Cohn, 2026, needs more optimization.
30 750 0.241098839863 Henry Cohn, 2026, needs more optimization.
30 751 0.241213543497 Henry Cohn, 2026, needs more optimization.
30 752 0.241361243748 Henry Cohn, 2026, needs more optimization.
30 753 0.241372703266 Henry Cohn, 2026, needs more optimization.
30 755 0.241554211479 Henry Cohn, 2026, needs more optimization.
30 756 0.241562043132 Henry Cohn, 2026, needs more optimization.
30 757 0.241565449889 Henry Cohn, 2026, needs more optimization.
30 758 0.241571882532 Henry Cohn, 2026, needs more optimization.
30 759 0.241705568817 Henry Cohn, 2026, needs more optimization.
30 760 0.241708556946 Henry Cohn, 2026, needs more optimization.
30 761 0.241720583303 Henry Cohn, 2026, needs more optimization.
30 762 0.241721797046 Henry Cohn, 2026, needs more optimization.
30 763 0.241972687940 Henry Cohn, 2026, needs more optimization.
30 765 0.242137931726 Henry Cohn, 2026, needs more optimization.
30 766 0.242168314294 Henry Cohn, 2026, needs more optimization.
30 767 0.242214288360 Henry Cohn, 2026, needs more optimization.
30 768 0.242272943401 Henry Cohn, 2026, needs more optimization.
30 769 0.242277753578 Henry Cohn, 2026, needs more optimization.
30 770 0.242283035377 Henry Cohn, 2026, needs more optimization.
30 772 0.242359488742 Henry Cohn, 2026, needs more optimization.
30 776 0.242427996859 Henry Cohn, 2026, needs more optimization.
30 777 0.242432855799 Henry Cohn, 2026, needs more optimization.
30 778 0.242441740618 Henry Cohn, 2026, needs more optimization.
30 779 0.242708066607 Henry Cohn, 2026, needs more optimization.
30 780 0.242714229905 Henry Cohn, 2026, needs more optimization.
30 781 0.242782947571 Henry Cohn, 2026, needs more optimization.
30 783 0.242888375710 Henry Cohn, 2026, needs more optimization.
30 784 0.242951896820 Henry Cohn, 2026, needs more optimization.
30 785 0.243083107313 Henry Cohn, 2026, needs more optimization.
30 786 0.243086041893 Henry Cohn, 2026, needs more optimization.
30 787 0.243093169656 Henry Cohn, 2026, needs more optimization.
30 789 0.243246707982 Henry Cohn, 2026, needs more optimization.
30 790 0.243283341127 Henry Cohn, 2026, needs more optimization.
30 791 0.243400434456 Henry Cohn, 2026, needs more optimization.
30 792 0.243509784414 Henry Cohn, 2026, needs more optimization.
30 793 0.243595277197 Henry Cohn, 2026, needs more optimization.
30 794 0.243657045611 Henry Cohn, 2026, needs more optimization.
30 795 0.243670894159 Henry Cohn, 2026, needs more optimization.
30 796 0.243782779255 Henry Cohn, 2026, needs more optimization.
30 797 0.243879734805 Henry Cohn, 2026, needs more optimization.
30 798 0.244023006368 Henry Cohn, 2026, needs more optimization.
30 799 0.244093508572 Henry Cohn, 2026, needs more optimization.
30 801 0.244157076979 Henry Cohn, 2026, needs more optimization.
30 802 0.244253431467 Henry Cohn, 2026, needs more optimization.
30 803 0.244268236024 Henry Cohn, 2026, needs more optimization.
30 804 0.244394062994 Henry Cohn, 2026, needs more optimization.
30 805 0.244546297614 Henry Cohn, 2026, needs more optimization.
30 806 0.244673876473 Henry Cohn, 2026, needs more optimization.
30 807 0.244802865014 Henry Cohn, 2026, needs more optimization.
30 808 0.244835219499 Henry Cohn, 2026, needs more optimization.
30 809 0.244906883572 Henry Cohn, 2026, needs more optimization.
30 810 0.245071131299 Henry Cohn, 2026, needs more optimization.
30 811 0.245133013318 Henry Cohn, 2026, needs more optimization.
30 812 0.245254783039 Henry Cohn, 2026, needs more optimization.
30 813 0.245263286575 Henry Cohn, 2026, needs more optimization.
30 814 0.245392018029 Henry Cohn, 2026, needs more optimization.
30 815 0.245445837662 Henry Cohn, 2026, needs more optimization.
30 816 0.245497846703 Henry Cohn, 2026, needs more optimization.
30 817 0.245614695639 Henry Cohn, 2026, needs more optimization.
30 820 0.245766414127 Henry Cohn, 2026, needs more optimization.
30 821 0.245771261933 Henry Cohn, 2026, needs more optimization.
30 822 0.245918478511 Henry Cohn, 2026, needs more optimization.
30 823 0.245997283809 Henry Cohn, 2026, needs more optimization.
30 824 0.246017127274 Henry Cohn, 2026, needs more optimization.
30 825 0.246134381017 Henry Cohn, 2026, needs more optimization.
30 826 0.246189261590 Henry Cohn, 2026, needs more optimization.
30 827 0.246195026163 Henry Cohn, 2026, needs more optimization.
30 828 0.246206316485 Henry Cohn, 2026, needs more optimization.
30 829 0.246436433330 Henry Cohn, 2026, needs more optimization.
30 831 0.246505757250 Henry Cohn, 2026, needs more optimization.
30 832 0.246533041673 Henry Cohn, 2026, needs more optimization.
30 833 0.246533276375 Henry Cohn, 2026, needs more optimization.
30 835 0.246604988163 Henry Cohn, 2026, needs more optimization.
30 837 0.246742326528 Henry Cohn, 2026, needs more optimization.
30 838 0.246749124641 Henry Cohn, 2026, needs more optimization.
30 839 0.246827941756 Henry Cohn, 2026, needs more optimization.
30 840 0.246868472371 Henry Cohn, 2026, needs more optimization.
30 842 0.246987781557 Henry Cohn, 2026, needs more optimization.
30 843 0.246996301657 Henry Cohn, 2026, needs more optimization.
30 844 0.247111672481 Henry Cohn, 2026, needs more optimization.
30 845 0.247120380483 Henry Cohn, 2026, needs more optimization.
30 847 0.247303590755 Henry Cohn, 2026, needs more optimization.
30 848 0.247400192720 Henry Cohn, 2026, needs more optimization.
30 849 0.247491109362 Henry Cohn, 2026, needs more optimization.
30 851 0.247521497056 Henry Cohn, 2026, needs more optimization.
30 852 0.247563851744 Henry Cohn, 2026, needs more optimization.
30 853 0.247629949850 Henry Cohn, 2026, needs more optimization.
30 855 0.247697449619 Henry Cohn, 2026, needs more optimization.
30 857 0.247711698079 Henry Cohn, 2026, needs more optimization.
30 859 0.247832719028 Henry Cohn, 2026, needs more optimization.
30 860 0.247834686912 Henry Cohn, 2026, needs more optimization.
30 861 0.247851118278 Henry Cohn, 2026, needs more optimization.
30 862 0.247925367781 Henry Cohn, 2026, needs more optimization.
30 863 0.247967581546 Henry Cohn, 2026, needs more optimization.
30 864 0.248005487761 Henry Cohn, 2026, needs more optimization.
30 866 0.248068289792 Henry Cohn, 2026, needs more optimization.
30 869 0.248148213769 Henry Cohn, 2026, needs more optimization.
30 870 0.248187084914 Henry Cohn, 2026, needs more optimization.
30 871 0.248196895272 Henry Cohn, 2026, needs more optimization.
30 872 0.248209520384 Henry Cohn, 2026, needs more optimization.
30 873 0.248247957467 Henry Cohn, 2026, needs more optimization.
30 874 0.248330488598 Henry Cohn, 2026, needs more optimization.
30 875 0.248338956556 Henry Cohn, 2026, needs more optimization.
30 877 0.248362155396 Henry Cohn, 2026, needs more optimization.
30 879 0.248458945079 Henry Cohn, 2026, needs more optimization.
30 880 0.248467118231 Henry Cohn, 2026, needs more optimization.
30 881 0.248513423254 Henry Cohn, 2026, needs more optimization.
30 882 0.248579424131 Henry Cohn, 2026, needs more optimization.
30 883 0.248586856977 Henry Cohn, 2026, needs more optimization.
30 887 0.248668138373 Henry Cohn, 2026, needs more optimization.
30 888 0.248691613664 Henry Cohn, 2026, needs more optimization.
30 889 0.248699609712 Henry Cohn, 2026, needs more optimization.
30 890 0.248705116386 Henry Cohn, 2026, needs more optimization.
30 891 0.248731718289 Henry Cohn, 2026, needs more optimization.
30 892 0.248792390225 Henry Cohn, 2026, needs more optimization.
30 894 0.248815901355 Henry Cohn, 2026, needs more optimization.
30 896 0.248877805716 Henry Cohn, 2026, needs more optimization.
30 901 0.248916088385 Henry Cohn, 2026, needs more optimization.
30 902 0.248983346352 Henry Cohn, 2026, needs more optimization.
30 903 0.248984947197 Henry Cohn, 2026, needs more optimization.
30 904 0.248987596349 Henry Cohn, 2026, needs more optimization.
30 905 0.249054706970 Henry Cohn, 2026, needs more optimization.
30 908 0.249075092174 Henry Cohn, 2026, needs more optimization.
30 909 0.249135557908 Henry Cohn, 2026, needs more optimization.
30 910 0.249137566267 Henry Cohn, 2026, needs more optimization.
30 911 0.249192705286 Henry Cohn, 2026, needs more optimization.
30 912 0.249206388729 Henry Cohn, 2026, needs more optimization.
30 913 0.249215817548 Henry Cohn, 2026, needs more optimization.
30 914 0.249257943654 Henry Cohn, 2026, needs more optimization.
30 915 0.249264986250 Henry Cohn, 2026, needs more optimization.
30 916 0.249269935571 Henry Cohn, 2026, needs more optimization.
30 922 0.249290617995 Henry Cohn, 2026, needs more optimization.
30 924 0.249302653677 Henry Cohn, 2026, needs more optimization.
30 925 0.249303933857 Henry Cohn, 2026, needs more optimization.
30 926 0.249364261424 Henry Cohn, 2026, needs more optimization.
30 927 0.249371865342 Henry Cohn, 2026, needs more optimization.
30 928 0.249396440881 Henry Cohn, 2026, needs more optimization.
30 930 0.249398367314 Henry Cohn, 2026, needs more optimization.
30 934 0.249425534931 Henry Cohn, 2026, needs more optimization.
30 935 0.249470116770 Henry Cohn, 2026, needs more optimization.
30 938 0.249508726279 Henry Cohn, 2026, needs more optimization.
30 939 0.249514594630 Henry Cohn, 2026, needs more optimization.
30 942 0.249562645533 Henry Cohn, 2026, needs more optimization.
30 946 0.249590853394 Henry Cohn, 2026, needs more optimization.
30 947 0.249596581982 Henry Cohn, 2026, needs more optimization.
30 949 0.249609710798 Henry Cohn, 2026, needs more optimization.
30 950 0.249612467569 Henry Cohn, 2026, needs more optimization.
30 952 0.249620055226 Henry Cohn, 2026, needs more optimization.
30 953 0.249635653891 Henry Cohn, 2026, needs more optimization.
30 954 0.249643436794 Henry Cohn, 2026, needs more optimization.
30 955 0.249647680363 Henry Cohn, 2026, needs more optimization.
30 956 0.249677606687 Henry Cohn, 2026, needs more optimization.
30 957 0.249685500727 Henry Cohn, 2026, needs more optimization.
30 958 0.249691561915 Henry Cohn, 2026, needs more optimization.
30 972 0.249718497287 Henry Cohn, 2026, needs more optimization.
30 973 0.249728753860 Henry Cohn, 2026, needs more optimization.
30 974 0.249734410309 Henry Cohn, 2026, needs more optimization.
30 977 0.249747992402 Henry Cohn, 2026, needs more optimization.
30 985 0.249750459091 Henry Cohn, 2026, needs more optimization.
30 986 0.249754979414 Henry Cohn, 2026, needs more optimization.
30 987 0.249759698632 Henry Cohn, 2026, needs more optimization.
30 988 0.249760824152 Henry Cohn, 2026, needs more optimization.
30 993 0.249901342491 Henry Cohn, 2026, needs more optimization.
30 995 0.249902199077 Henry Cohn, 2026, needs more optimization.
30 996 0.249908840006 Henry Cohn, 2026, needs more optimization.
30 997 0.249911333245 Henry Cohn, 2026, needs more optimization.
30 998 0.249915238465 Henry Cohn, 2026, needs more optimization.
30 1024 0.249939028962 Henry Cohn, 2026, needs more optimization.
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 0.030325190881 Henry Cohn, 2026.
31 65 0.037285566163 Henry Cohn, 2026.
31 66 0.037768798212 Henry Cohn, 2026.
31 67 0.038112340476 Henry Cohn, 2026.
31 68 0.041220604872 Henry Cohn, 2026, needs more optimization.
31 69 0.043538391987 Henry Cohn, 2026.
31 70 0.043787493765 Henry Cohn, 2026, needs more optimization.
31 71 0.044034234118 Henry Cohn, 2026, needs more optimization.
31 72 0.044583881514 Henry Cohn, 2026, needs more optimization.
31 73 0.048631532114 Henry Cohn, 2026, needs more optimization.
31 74 0.050068906633 Henry Cohn, 2026, needs more optimization.
31 75 0.051024214945 Henry Cohn, 2026, needs more optimization.
31 76 0.052578474476 Henry Cohn, 2026, needs more optimization.
31 77 0.054427328702 Henry Cohn, 2026, needs more optimization.
31 78 0.055755020841 Henry Cohn, 2026, needs more optimization.
31 79 0.057284634544 Henry Cohn, 2026, needs more optimization.
31 80 0.058637542793 Henry Cohn, 2026, needs more optimization.
31 81 0.060011305959 Henry Cohn, 2026, needs more optimization.
31 82 0.061360497540 Henry Cohn, 2026, needs more optimization.
31 83 0.061682454668 Henry Cohn, 2026, needs more optimization.
31 84 0.062332555905 Henry Cohn, 2026, needs more optimization.
31 85 0.063452446643 Henry Cohn, 2026, needs more optimization.
31 86 0.064362380190 Henry Cohn, 2026, needs more optimization.
31 87 0.065619149576 Henry Cohn, 2026, needs more optimization.
31 88 0.067040280402 Henry Cohn, 2026, needs more optimization.
31 89 0.068506494765 Henry Cohn, 2026, needs more optimization.
31 90 0.069720921075 Henry Cohn, 2026, needs more optimization.
31 91 0.071598803757 Henry Cohn, 2026, needs more optimization.
31 92 0.072712278811 Henry Cohn, 2026, needs more optimization.
31 93 0.074056359375 Henry Cohn, 2026, needs more optimization.
31 94 0.074944641928 Henry Cohn, 2026, needs more optimization.
31 95 0.075273135825 Henry Cohn, 2026, needs more optimization.
31 96 0.075939747325 Henry Cohn, 2026, needs more optimization.
31 97 0.076162266082 Henry Cohn, 2026, needs more optimization.
31 98 0.076840032276 Henry Cohn, 2026, needs more optimization.
31 99 0.076884191847 Henry Cohn, 2026, needs more optimization.
31 100 0.076928917732 Henry Cohn, 2026, needs more optimization.
31 101 0.076991735329 Henry Cohn, 2026, needs more optimization.
31 102 0.077155000085 Henry Cohn, 2026, needs more optimization.
31 103 0.077296045793 Henry Cohn, 2026, needs more optimization.
31 104 0.077401069719 Henry Cohn, 2026, needs more optimization.
31 105 0.077815111681 Henry Cohn, 2026, needs more optimization.
31 106 0.078227935107 Henry Cohn, 2026, needs more optimization.
31 107 0.078676677442 Henry Cohn, 2026, needs more optimization.
31 108 0.079523978346 Henry Cohn, 2026, needs more optimization.
31 109 0.079852955451 Henry Cohn, 2026, needs more optimization.
31 110 0.080318497739 Henry Cohn, 2026, needs more optimization.
31 111 0.080626698839 Henry Cohn, 2026, needs more optimization.
31 112 0.080739352359 Henry Cohn, 2026, needs more optimization.
31 113 0.081339754371 Henry Cohn, 2026, needs more optimization.
31 114 0.081694453685 Henry Cohn, 2026, needs more optimization.
31 115 0.082456612902 Henry Cohn, 2026, needs more optimization.
31 116 0.083371330803 Henry Cohn, 2026, needs more optimization.
31 117 0.084483653652 Henry Cohn, 2026, needs more optimization.
31 120 0.084959387951 Henry Cohn, 2026.
115⁢x2+2⁢x−1
31 121 0.088323496078 Henry Cohn, 2026, needs more optimization.
31 122 0.088726466840 Henry Cohn, 2026, needs more optimization.
31 123 0.088883130415 Henry Cohn, 2026, needs more optimization.
31 124 0.089204578348 Henry Cohn, 2026, needs more optimization.
31 125 0.089608339305 Henry Cohn, 2026, needs more optimization.
31 126 0.089920694234 Henry Cohn, 2026, needs more optimization.
31 127 0.090328438892 Henry Cohn, 2026, needs more optimization.
31 128 0.090379506736 Henry Cohn, 2026, needs more optimization.
31 129 0.090757831584 Henry Cohn, 2026, needs more optimization.
31 130 0.091274921879 Henry Cohn, 2026, needs more optimization.
31 131 0.092149237860 Henry Cohn, 2026, needs more optimization.
31 132 0.093190738514 Henry Cohn, 2026, needs more optimization.
31 133 0.094606477357 Henry Cohn, 2026, needs more optimization.
31 134 0.095448357669 Henry Cohn, 2026, needs more optimization.
31 135 0.096348341664 Henry Cohn, 2026, needs more optimization.
31 136 0.097760271558 Henry Cohn, 2026, needs more optimization.
31 137 0.098801227519 Henry Cohn, 2026, needs more optimization.
31 138 0.099762218836 Henry Cohn, 2026, needs more optimization.
31 139 0.100442420671 Henry Cohn, 2026, needs more optimization.
31 140 0.101617334471 Henry Cohn, 2026, needs more optimization.
31 141 0.102424294026 Henry Cohn, 2026, needs more optimization.
31 142 0.102449892059 Henry Cohn, 2026, needs more optimization.
31 143 0.102507651918 Henry Cohn, 2026, needs more optimization.
31 145 0.102556345390 Henry Cohn, 2026, needs more optimization.
31 146 0.102851012091 Henry Cohn, 2026, needs more optimization.
31 147 0.103822486522 Henry Cohn, 2026, needs more optimization.
31 148 0.104757380041 Henry Cohn, 2026, needs more optimization.
31 149 0.105241075816 Henry Cohn, 2026, needs more optimization.
31 150 0.106275074838 Henry Cohn, 2026, needs more optimization.
31 151 0.106990228872 Henry Cohn, 2026, needs more optimization.
31 152 0.107773739203 Henry Cohn, 2026, needs more optimization.
31 153 0.108598479822 Henry Cohn, 2026, needs more optimization.
31 154 0.109382889743 Henry Cohn, 2026, needs more optimization.
31 155 0.109958583873 Henry Cohn, 2026, needs more optimization.
31 156 0.110152838369 Henry Cohn, 2026, needs more optimization.
31 157 0.110355939121 Henry Cohn, 2026, needs more optimization.
31 158 0.110466373198 Henry Cohn, 2026, needs more optimization.
31 159 0.110683803185 Henry Cohn, 2026, needs more optimization.
31 160 0.111016675635 Henry Cohn, 2026, needs more optimization.
31 161 0.111512858037 Henry Cohn, 2026, needs more optimization.
31 162 0.111966055317 Henry Cohn, 2026, needs more optimization.
31 163 0.113070676070 Henry Cohn, 2026, needs more optimization.
31 164 0.113823417172 Henry Cohn, 2026, needs more optimization.
31 165 0.114366610299 Henry Cohn, 2026, needs more optimization.
31 166 0.115485853316 Henry Cohn, 2026, needs more optimization.
31 167 0.116388369735 Henry Cohn, 2026, needs more optimization.
31 168 0.117354799253 Henry Cohn, 2026, needs more optimization.
31 169 0.118281888481 Henry Cohn, 2026, needs more optimization.
31 170 0.119300570902 Henry Cohn, 2026, needs more optimization.
31 171 0.120183440469 Henry Cohn, 2026, needs more optimization.
31 172 0.121257618488 Henry Cohn, 2026, needs more optimization.
31 173 0.122372782258 Henry Cohn, 2026, needs more optimization.
31 174 0.123654081020 Henry Cohn, 2026, needs more optimization.
31 175 0.124763897966 Henry Cohn, 2026, needs more optimization.
31 176 0.125712115771 Henry Cohn, 2026, needs more optimization.
31 177 0.126364877108 Henry Cohn, 2026, needs more optimization.
31 178 0.127056451651 Henry Cohn, 2026, needs more optimization.
31 179 0.127668293745 Henry Cohn, 2026, needs more optimization.
31 180 0.127825206436 Henry Cohn, 2026, needs more optimization.
31 181 0.128021244044 Henry Cohn, 2026, needs more optimization.
31 183 0.128116053134 Henry Cohn, 2026, needs more optimization.
31 184 0.128201981334 Henry Cohn, 2026, needs more optimization.
31 187 0.128237513436 Henry Cohn, 2026, needs more optimization.
31 188 0.128237513442 Henry Cohn, 2026, needs more optimization.
31 190 0.128240710808 Henry Cohn, 2026, needs more optimization.
31 192 0.128243790583 Henry Cohn, 2026, needs more optimization.
31 193 0.128279913176 Henry Cohn, 2026, needs more optimization.
31 194 0.128493434693 Henry Cohn, 2026, needs more optimization.
31 195 0.128981088392 Henry Cohn, 2026, needs more optimization.
31 196 0.129923025606 Henry Cohn, 2026, needs more optimization.
31 197 0.131300999362 Henry Cohn, 2026, needs more optimization.
31 198 0.132560771757 Henry Cohn, 2026, needs more optimization.
31 199 0.133057103237 Henry Cohn, 2026, needs more optimization.
31 200 0.134355245014 Henry Cohn, 2026, needs more optimization.
31 201 0.135039657114 Henry Cohn, 2026, needs more optimization.
31 202 0.135900340420 Henry Cohn, 2026, needs more optimization.
31 203 0.136750801304 Henry Cohn, 2026, needs more optimization.
31 204 0.137364167601 Henry Cohn, 2026, needs more optimization.
31 205 0.137534137818 Henry Cohn, 2026, needs more optimization.
31 206 0.138237068994 Henry Cohn, 2026, needs more optimization.
31 207 0.138689633306 Henry Cohn, 2026, needs more optimization.
31 208 0.138982003724 Henry Cohn, 2026, needs more optimization.
31 209 0.139731913225 Henry Cohn, 2026, needs more optimization.
31 210 0.140529022385 Henry Cohn, 2026, needs more optimization.
31 211 0.140544388156 Henry Cohn, 2026, needs more optimization.
31 212 0.140687230463 Henry Cohn, 2026, needs more optimization.
31 213 0.140776558404 Henry Cohn, 2026, needs more optimization.
31 214 0.140917370048 Henry Cohn, 2026, needs more optimization.
31 215 0.141025870607 Henry Cohn, 2026, needs more optimization.
31 216 0.141119315546 Henry Cohn, 2026, needs more optimization.
31 217 0.141223693714 Henry Cohn, 2026, needs more optimization.
31 218 0.141309684192 Henry Cohn, 2026, needs more optimization.
31 219 0.141544150324 Henry Cohn, 2026, needs more optimization.
31 220 0.141917816631 Henry Cohn, 2026, needs more optimization.
31 221 0.141978921698 Henry Cohn, 2026, needs more optimization.
31 222 0.142055792963 Henry Cohn, 2026, needs more optimization.
31 223 0.142106991670 Henry Cohn, 2026, needs more optimization.
31 224 0.142164638676 Henry Cohn, 2026, needs more optimization.
31 225 0.142428792379 Henry Cohn, 2026, needs more optimization.
31 226 0.142820242868 Henry Cohn, 2026, needs more optimization.
31 227 0.142972400095 Henry Cohn, 2026, needs more optimization.
31 228 0.143198539609 Henry Cohn, 2026, needs more optimization.
31 229 0.143790628677 Henry Cohn, 2026, needs more optimization.
31 230 0.144364147698 Henry Cohn, 2026, needs more optimization.
31 231 0.144763465014 Henry Cohn, 2026, needs more optimization.
31 232 0.144900582618 Henry Cohn, 2026, needs more optimization.
31 233 0.145133712396 Henry Cohn, 2026, needs more optimization.
31 234 0.145345471741 Henry Cohn, 2026, needs more optimization.
31 235 0.145414407766 Henry Cohn, 2026, needs more optimization.
31 236 0.145518131538 Henry Cohn, 2026, needs more optimization.
31 237 0.145639534794 Henry Cohn, 2026, needs more optimization.
31 238 0.145808013157 Henry Cohn, 2026, needs more optimization.
31 239 0.145933669252 Henry Cohn, 2026, needs more optimization.
31 240 0.146046274315 Henry Cohn, 2026, needs more optimization.
31 241 0.146085880642 Henry Cohn, 2026, needs more optimization.
31 242 0.146219673857 Henry Cohn, 2026, needs more optimization.
31 243 0.146421810595 Henry Cohn, 2026, needs more optimization.
31 244 0.146543839760 Henry Cohn, 2026, needs more optimization.
31 245 0.146693793390 Henry Cohn, 2026, needs more optimization.
31 246 0.146758016192 Henry Cohn, 2026, needs more optimization.
31 247 0.146960951480 Henry Cohn, 2026, needs more optimization.
31 248 0.147048365310 Henry Cohn, 2026, needs more optimization.
31 249 0.147165071357 Henry Cohn, 2026, needs more optimization.
31 250 0.147240427278 Henry Cohn, 2026, needs more optimization.
31 251 0.147318641825 Henry Cohn, 2026, needs more optimization.
31 252 0.147351898234 Henry Cohn, 2026, needs more optimization.
31 253 0.147538850992 Henry Cohn, 2026, needs more optimization.
31 254 0.147593858468 Henry Cohn, 2026, needs more optimization.
31 255 0.147717813097 Henry Cohn, 2026, needs more optimization.
31 256 0.147860752474 Henry Cohn, 2026, needs more optimization.
31 257 0.148009063418 Henry Cohn, 2026, needs more optimization.
31 258 0.148288640653 Henry Cohn, 2026, needs more optimization.
31 259 0.148601525670 Henry Cohn, 2026, needs more optimization.
31 260 0.148674729563 Henry Cohn, 2026, needs more optimization.
31 261 0.148684343134 Henry Cohn, 2026, needs more optimization.
31 262 0.149193967738 Henry Cohn, 2026, needs more optimization.
31 263 0.149307159286 Henry Cohn, 2026, needs more optimization.
31 264 0.149745922553 Henry Cohn, 2026, needs more optimization.
31 265 0.150253533829 Henry Cohn, 2026, needs more optimization.
31 266 0.150589766623 Henry Cohn, 2026, needs more optimization.
31 267 0.151134618749 Henry Cohn, 2026, needs more optimization.
31 268 0.151681997547 Henry Cohn, 2026, needs more optimization.
31 269 0.152343473678 Henry Cohn, 2026, needs more optimization.
31 270 0.152529561631 Henry Cohn, 2026, needs more optimization.
31 271 0.153248895222 Henry Cohn, 2026, needs more optimization.
31 272 0.153642236433 Henry Cohn, 2026, needs more optimization.
31 273 0.154358952905 Henry Cohn, 2026, needs more optimization.
31 274 0.154523570150 Henry Cohn, 2026, needs more optimization.
31 275 0.154988757936 Henry Cohn, 2026, needs more optimization.
31 276 0.155442250413 Henry Cohn, 2026, needs more optimization.
31 277 0.156147994681 Henry Cohn, 2026, needs more optimization.
31 278 0.156545375515 Henry Cohn, 2026, needs more optimization.
31 279 0.156902837989 Henry Cohn, 2026, needs more optimization.
31 280 0.157544910901 Henry Cohn, 2026, needs more optimization.
31 281 0.158324021047 Henry Cohn, 2026, needs more optimization.
31 282 0.158895586954 Henry Cohn, 2026, needs more optimization.
31 283 0.159191984919 Henry Cohn, 2026, needs more optimization.
31 284 0.159689821825 Henry Cohn, 2026, needs more optimization.
31 285 0.160185341470 Henry Cohn, 2026, needs more optimization.
31 286 0.160565267152 Henry Cohn, 2026, needs more optimization.
31 287 0.161083135122 Henry Cohn, 2026, needs more optimization.
31 288 0.161681337131 Henry Cohn, 2026, needs more optimization.
31 289 0.161706664178 Henry Cohn, 2026, needs more optimization.
31 290 0.161746012934 Henry Cohn, 2026, needs more optimization.
31 291 0.161748582283 Henry Cohn, 2026, needs more optimization.
31 292 0.161807714174 Henry Cohn, 2026, needs more optimization.
31 293 0.161819390551 Henry Cohn, 2026, needs more optimization.
31 294 0.161823950422 Henry Cohn, 2026, needs more optimization.
31 295 0.161847588996 Henry Cohn, 2026, needs more optimization.
31 296 0.161869434319 Henry Cohn, 2026, needs more optimization.
31 297 0.161915148324 Henry Cohn, 2026, needs more optimization.
31 298 0.161953107568 Henry Cohn, 2026, needs more optimization.
31 299 0.162073341910 Henry Cohn, 2026, needs more optimization.
31 300 0.162198934712 Henry Cohn, 2026, needs more optimization.
31 301 0.162211165664 Henry Cohn, 2026, needs more optimization.
31 302 0.162379809935 Henry Cohn, 2026, needs more optimization.
31 303 0.162502253439 Henry Cohn, 2026, needs more optimization.
31 304 0.162524179280 Henry Cohn, 2026, needs more optimization.
31 305 0.162849357516 Henry Cohn, 2026, needs more optimization.
31 306 0.163007340373 Henry Cohn, 2026, needs more optimization.
31 307 0.163149422915 Henry Cohn, 2026, needs more optimization.
31 308 0.163251728646 Henry Cohn, 2026, needs more optimization.
31 309 0.163424407960 Henry Cohn, 2026, needs more optimization.
31 310 0.163622950427 Henry Cohn, 2026, needs more optimization.
31 311 0.163734845727 Henry Cohn, 2026, needs more optimization.
31 312 0.163857837167 Henry Cohn, 2026, needs more optimization.
31 313 0.163996476812 Henry Cohn, 2026, needs more optimization.
31 314 0.164041792676 Henry Cohn, 2026, needs more optimization.
31 315 0.164106806683 Henry Cohn, 2026, needs more optimization.
31 316 0.164175696692 Henry Cohn, 2026, needs more optimization.
31 317 0.164296984041 Henry Cohn, 2026, needs more optimization.
31 318 0.164371744479 Henry Cohn, 2026, needs more optimization.
31 319 0.164465746002 Henry Cohn, 2026, needs more optimization.
31 320 0.164541277432 Henry Cohn, 2026, needs more optimization.
31 321 0.164565567858 Henry Cohn, 2026, needs more optimization.
31 322 0.164632997671 Henry Cohn, 2026, needs more optimization.
31 323 0.164686595629 Henry Cohn, 2026, needs more optimization.
31 324 0.164741328090 Henry Cohn, 2026, needs more optimization.
31 325 0.164818274062 Henry Cohn, 2026, needs more optimization.
31 326 0.164906768217 Henry Cohn, 2026, needs more optimization.
31 327 0.164984978038 Henry Cohn, 2026, needs more optimization.
31 328 0.165106620480 Henry Cohn, 2026, needs more optimization.
31 329 0.165232299291 Henry Cohn, 2026, needs more optimization.
31 330 0.165310976968 Henry Cohn, 2026, needs more optimization.
31 331 0.165409747921 Henry Cohn, 2026, needs more optimization.
31 332 0.165539854050 Henry Cohn, 2026, needs more optimization.
31 333 0.165576142423 Henry Cohn, 2026, needs more optimization.
31 334 0.165654847876 Henry Cohn, 2026, needs more optimization.
31 335 0.165725905436 Henry Cohn, 2026, needs more optimization.
31 336 0.165832284791 Henry Cohn, 2026, needs more optimization.
31 337 0.165993543618 Henry Cohn, 2026, needs more optimization.
31 338 0.166060128693 Henry Cohn, 2026, needs more optimization.
31 339 0.166174219543 Henry Cohn, 2026, needs more optimization.
31 340 0.166371125959 Henry Cohn, 2026, needs more optimization.
31 341 0.166523982691 Henry Cohn, 2026, needs more optimization.
31 342 0.166587154367 Henry Cohn, 2026, needs more optimization.
31 343 0.166624900669 Henry Cohn, 2026, needs more optimization.
31 344 0.166670678386 Henry Cohn, 2026, needs more optimization.
31 345 0.166785292021 Henry Cohn, 2026, needs more optimization.
31 346 0.166791785075 Henry Cohn, 2026, needs more optimization.
31 347 0.166853881013 Henry Cohn, 2026, needs more optimization.
31 348 0.166932548825 Henry Cohn, 2026, needs more optimization.
31 349 0.167008628451 Henry Cohn, 2026, needs more optimization.
31 350 0.167112530663 Henry Cohn, 2026, needs more optimization.
31 351 0.167481615660 Henry Cohn, 2026, needs more optimization.
31 352 0.168451209620 Henry Cohn, 2026, needs more optimization.
31 353 0.168666572018 Henry Cohn, 2026, needs more optimization.
31 354 0.168972446042 Henry Cohn, 2026, needs more optimization.
31 355 0.169156255773 Henry Cohn, 2026, needs more optimization.
31 356 0.170053550889 Henry Cohn, 2026, needs more optimization.
31 357 0.170389437260 Henry Cohn, 2026, needs more optimization.
31 358 0.171095822425 Henry Cohn, 2026, needs more optimization.
31 359 0.171421536549 Henry Cohn, 2026, needs more optimization.
31 360 0.171775858393 Henry Cohn, 2026, needs more optimization.
31 361 0.178369832048 Henry Cohn, 2026, needs more optimization.
31 362 0.178371577636 Henry Cohn, 2026, needs more optimization.
31 363 0.178415564874 Henry Cohn, 2026, needs more optimization.
31 364 0.178452096829 Henry Cohn, 2026, needs more optimization.
31 365 0.178471603712 Henry Cohn, 2026, needs more optimization.
31 366 0.178605619525 Henry Cohn, 2026, needs more optimization.
31 367 0.178639505347 Henry Cohn, 2026, needs more optimization.
31 368 0.178675533048 Henry Cohn, 2026, needs more optimization.
31 369 0.178751710810 Henry Cohn, 2026, needs more optimization.
31 370 0.178906496993 Henry Cohn, 2026, needs more optimization.
31 371 0.179065788927 Henry Cohn, 2026, needs more optimization.
31 372 0.179498118952 Henry Cohn, 2026, needs more optimization.
31 373 0.179654072598 Henry Cohn, 2026, needs more optimization.
31 374 0.180209365927 Henry Cohn, 2026, needs more optimization.
31 375 0.180435918719 Henry Cohn, 2026, needs more optimization.
31 376 0.180607126079 Henry Cohn, 2026, needs more optimization.
31 377 0.181054035768 Henry Cohn, 2026, needs more optimization.
31 378 0.181658744373 Henry Cohn, 2026, needs more optimization.
31 379 0.181888030368 Henry Cohn, 2026, needs more optimization.
31 380 0.181914137985 Henry Cohn, 2026, needs more optimization.
31 381 0.181964061729 Henry Cohn, 2026, needs more optimization.
31 382 0.182061475367 Henry Cohn, 2026, needs more optimization.
31 383 0.182103613871 Henry Cohn, 2026, needs more optimization.
31 384 0.182159413670 Henry Cohn, 2026, needs more optimization.
31 385 0.182370457287 Henry Cohn, 2026, needs more optimization.
31 386 0.182401512799 Henry Cohn, 2026, needs more optimization.
31 387 0.182443955724 Henry Cohn, 2026, needs more optimization.
31 388 0.182569720368 Henry Cohn, 2026, needs more optimization.
31 389 0.182718944838 Henry Cohn, 2026, needs more optimization.
31 390 0.182916704820 Henry Cohn, 2026, needs more optimization.
31 391 0.183104630313 Henry Cohn, 2026, needs more optimization.
31 392 0.183538412828 Henry Cohn, 2026, needs more optimization.
31 393 0.183902199078 Henry Cohn, 2026, needs more optimization.
31 394 0.183955020187 Henry Cohn, 2026, needs more optimization.
31 395 0.184162432714 Henry Cohn, 2026, needs more optimization.
31 396 0.184665846838 Henry Cohn, 2026, needs more optimization.
31 397 0.184872347282 Henry Cohn, 2026, needs more optimization.
31 398 0.185206551675 Henry Cohn, 2026, needs more optimization.
31 399 0.185544773489 Henry Cohn, 2026, needs more optimization.
31 400 0.185952838294 Henry Cohn, 2026, needs more optimization.
31 401 0.186012231287 Henry Cohn, 2026, needs more optimization.
31 402 0.186087472463 Henry Cohn, 2026, needs more optimization.
31 403 0.186349093459 Henry Cohn, 2026, needs more optimization.
31 404 0.186578575527 Henry Cohn, 2026, needs more optimization.
31 405 0.187034802264 Henry Cohn, 2026, needs more optimization.
31 406 0.187182496301 Henry Cohn, 2026, needs more optimization.
31 407 0.187429884543 Henry Cohn, 2026, needs more optimization.
31 408 0.187699190288 Henry Cohn, 2026, needs more optimization.
31 409 0.187798167924 Henry Cohn, 2026, needs more optimization.
31 410 0.187932575804 Henry Cohn, 2026, needs more optimization.
31 411 0.188199105452 Henry Cohn, 2026, needs more optimization.
31 412 0.188568069954 Henry Cohn, 2026, needs more optimization.
31 413 0.188841075390 Henry Cohn, 2026, needs more optimization.
31 414 0.189014623591 Henry Cohn, 2026, needs more optimization.
31 415 0.189187462929 Henry Cohn, 2026, needs more optimization.
31 416 0.189310328366 Henry Cohn, 2026, needs more optimization.
31 417 0.189600376868 Henry Cohn, 2026, needs more optimization.
31 418 0.189781658863 Henry Cohn, 2026, needs more optimization.
31 419 0.190104852729 Henry Cohn, 2026, needs more optimization.
31 420 0.190268298971 Henry Cohn, 2026, needs more optimization.
31 421 0.190414411859 Henry Cohn, 2026, needs more optimization.
31 422 0.190645850084 Henry Cohn, 2026, needs more optimization.
31 423 0.190859761862 Henry Cohn, 2026, needs more optimization.
31 424 0.191131565708 Henry Cohn, 2026, needs more optimization.
31 425 0.191421661562 Henry Cohn, 2026, needs more optimization.
31 426 0.191634012203 Henry Cohn, 2026, needs more optimization.
31 427 0.191820133678 Henry Cohn, 2026, needs more optimization.
31 428 0.191870376839 Henry Cohn, 2026, needs more optimization.
31 429 0.192037121515 Henry Cohn, 2026, needs more optimization.
31 430 0.192145215764 Henry Cohn, 2026, needs more optimization.
31 431 0.192501230459 Henry Cohn, 2026, needs more optimization.
31 432 0.192675289763 Henry Cohn, 2026, needs more optimization.
31 433 0.192972603015 Henry Cohn, 2026, needs more optimization.
31 434 0.193191443267 Henry Cohn, 2026, needs more optimization.
31 435 0.193288850878 Henry Cohn, 2026, needs more optimization.
31 436 0.193471402057 Henry Cohn, 2026, needs more optimization.
31 437 0.193742868920 Henry Cohn, 2026, needs more optimization.
31 438 0.193927257885 Henry Cohn, 2026, needs more optimization.
31 439 0.194115645774 Henry Cohn, 2026, needs more optimization.
31 455 0.194630872484 Orthogonal union of 451 points in 29 dimensions and 4 points in 2 dimensions.
149⁢x−29
31 456 0.194632496974 Henry Cohn, 2026, needs more optimization.
31 457 0.195871296533 Henry Cohn, 2026, needs more optimization.
31 458 0.195966124106 Henry Cohn, 2026, needs more optimization.
31 459 0.196028490217 Henry Cohn, 2026, needs more optimization.
31 460 0.196255080046 Henry Cohn, 2026, needs more optimization.
31 461 0.196476484234 Henry Cohn, 2026, needs more optimization.
31 462 0.196540324185 Henry Cohn, 2026, needs more optimization.
31 463 0.196696611884 Henry Cohn, 2026, needs more optimization.
31 464 0.196812492066 Henry Cohn, 2026, needs more optimization.
31 465 0.196951287438 Henry Cohn, 2026, needs more optimization.
31 466 0.197024405847 Henry Cohn, 2026, needs more optimization.
31 467 0.197188739737 Henry Cohn, 2026, needs more optimization.
31 468 0.197372966402 Henry Cohn, 2026, needs more optimization.
31 469 0.197413967224 Henry Cohn, 2026, needs more optimization.
31 470 0.197479922647 Henry Cohn, 2026, needs more optimization.
31 471 0.197574862927 Henry Cohn, 2026, needs more optimization.
31 472 0.197623816789 Henry Cohn, 2026, needs more optimization.
31 473 0.197670907464 Henry Cohn, 2026, needs more optimization.
31 474 0.197692610422 Henry Cohn, 2026, needs more optimization.
31 475 0.197798036056 Henry Cohn, 2026, needs more optimization.
31 476 0.197865872507 Henry Cohn, 2026, needs more optimization.
31 477 0.197939933570 Henry Cohn, 2026, needs more optimization.
31 478 0.197955766078 Henry Cohn, 2026, needs more optimization.
31 479 0.198104378980 Henry Cohn, 2026, needs more optimization.
31 480 0.198133717622 Henry Cohn, 2026, needs more optimization.
31 481 0.198218680174 Henry Cohn, 2026, needs more optimization.
31 482 0.198294799287 Henry Cohn, 2026, needs more optimization.
31 483 0.198344851334 Henry Cohn, 2026, needs more optimization.
31 484 0.198401276565 Henry Cohn, 2026, needs more optimization.
31 485 0.198421814966 Henry Cohn, 2026, needs more optimization.
31 486 0.198457461480 Henry Cohn, 2026, needs more optimization.
31 487 0.198463467264 Henry Cohn, 2026, needs more optimization.
31 488 0.198557630536 Henry Cohn, 2026, needs more optimization.
31 489 0.198589074374 Henry Cohn, 2026, needs more optimization.
31 490 0.198641860803 Henry Cohn, 2026, needs more optimization.
31 491 0.198664094169 Henry Cohn, 2026, needs more optimization.
31 492 0.198669520684 Henry Cohn, 2026, needs more optimization.
31 493 0.198732375254 Henry Cohn, 2026, needs more optimization.
31 494 0.198765187685 Henry Cohn, 2026, needs more optimization.
31 495 0.198830974367 Henry Cohn, 2026, needs more optimization.
31 496 0.198891433508 Henry Cohn, 2026, needs more optimization.
31 497 0.198936703738 Henry Cohn, 2026, needs more optimization.
31 498 0.198971022262 Henry Cohn, 2026, needs more optimization.
31 499 0.199002591391 Henry Cohn, 2026, needs more optimization.
31 500 0.199019266670 Henry Cohn, 2026, needs more optimization.
31 501 0.199026210601 Henry Cohn, 2026, needs more optimization.
31 502 0.199033414249 Henry Cohn, 2026, needs more optimization.
31 503 0.199071183065 Henry Cohn, 2026, needs more optimization.
31 504 0.199086267584 Henry Cohn, 2026, needs more optimization.
31 505 0.199089039930 Henry Cohn, 2026, needs more optimization.
31 506 0.199142879326 Henry Cohn, 2026, needs more optimization.
31 507 0.199190466008 Henry Cohn, 2026, needs more optimization.
31 508 0.199197739052 Henry Cohn, 2026, needs more optimization.
31 509 0.199219110862 Henry Cohn, 2026, needs more optimization.
31 510 0.199230724430 Henry Cohn, 2026, needs more optimization.
31 511 0.199249234465 Henry Cohn, 2026, needs more optimization.
31 512 0.199255211305 Henry Cohn, 2026, needs more optimization.
31 513 0.199260844055 Henry Cohn, 2026, needs more optimization.
31 514 0.199284829564 Henry Cohn, 2026, needs more optimization.
31 515 0.199381668877 Henry Cohn, 2026, needs more optimization.
31 516 0.199404591207 Henry Cohn, 2026, needs more optimization.
31 517 0.199419815726 Henry Cohn, 2026, needs more optimization.
31 518 0.199428875646 Henry Cohn, 2026, needs more optimization.
31 519 0.199447939827 Henry Cohn, 2026, needs more optimization.
31 520 0.199462058769 Henry Cohn, 2026, needs more optimization.
31 521 0.199478470401 Henry Cohn, 2026, needs more optimization.
31 522 0.199507283207 Henry Cohn, 2026, needs more optimization.
31 523 0.199514288573 Henry Cohn, 2026, needs more optimization.
31 524 0.199537093597 Henry Cohn, 2026, needs more optimization.
31 525 0.199542776150 Henry Cohn, 2026, needs more optimization.
31 526 0.199556713973 Henry Cohn, 2026, needs more optimization.
31 527 0.199570662106 Henry Cohn, 2026, needs more optimization.
31 528 0.199578996180 Henry Cohn, 2026, needs more optimization.
31 529 0.199596353157 Henry Cohn, 2026, needs more optimization.
31 530 0.199627418665 Henry Cohn, 2026, needs more optimization.
31 531 0.199638797267 Henry Cohn, 2026, needs more optimization.
31 532 0.199644065814 Henry Cohn, 2026, needs more optimization.
31 533 0.199648346303 Henry Cohn, 2026, needs more optimization.
31 534 0.199656672787 Henry Cohn, 2026, needs more optimization.
31 535 0.199662902300 Henry Cohn, 2026, needs more optimization.
31 536 0.199686505101 Henry Cohn, 2026, needs more optimization.
31 537 0.199691767673 Henry Cohn, 2026, needs more optimization.
31 538 0.199698354516 Henry Cohn, 2026, needs more optimization.
31 539 0.199703225572 Henry Cohn, 2026, needs more optimization.
31 540 0.199706842798 Henry Cohn, 2026, needs more optimization.
31 541 0.199711946134 Henry Cohn, 2026, needs more optimization.
31 542 0.199719604941 Henry Cohn, 2026, needs more optimization.
31 543 0.199723762106 Henry Cohn, 2026, needs more optimization.
31 544 0.199727861520 Henry Cohn, 2026, needs more optimization.
31 545 0.199731642808 Henry Cohn, 2026, needs more optimization.
31 546 0.199734976373 Henry Cohn, 2026, needs more optimization.
31 547 0.199756909838 Henry Cohn, 2026, needs more optimization.
31 548 0.199763775902 Henry Cohn, 2026, needs more optimization.
31 549 0.199781048578 Henry Cohn, 2026, needs more optimization.
31 550 0.199784511976 Henry Cohn, 2026, needs more optimization.
31 551 0.199790236715 Henry Cohn, 2026, needs more optimization.
31 552 0.199803085267 Henry Cohn, 2026, needs more optimization.
31 553 0.199806672103 Henry Cohn, 2026, needs more optimization.
31 554 0.199811382175 Henry Cohn, 2026, needs more optimization.
31 555 0.199835263810 Henry Cohn, 2026, needs more optimization.
31 556 0.199840621385 Henry Cohn, 2026, needs more optimization.
31 557 0.199852590887 Henry Cohn, 2026, needs more optimization.
31 558 0.199860759306 Henry Cohn, 2026, needs more optimization.
31 559 0.199864287517 Henry Cohn, 2026, needs more optimization.
31 560 0.199869540879 Henry Cohn, 2026, needs more optimization.
31 561 0.199874303534 Henry Cohn, 2026, needs more optimization.
31 562 0.199876642390 Henry Cohn, 2026, needs more optimization.
31 563 0.199880194849 Henry Cohn, 2026, needs more optimization.
31 564 0.199883389832 Henry Cohn, 2026, needs more optimization.
31 565 0.199890347149 Henry Cohn, 2026, needs more optimization.
31 566 0.199896266067 Henry Cohn, 2026, needs more optimization.
31 567 0.199907884323 Henry Cohn, 2026, needs more optimization.
31 568 0.199915212327 Henry Cohn, 2026, needs more optimization.
31 569 0.199918798209 Henry Cohn, 2026, needs more optimization.
31 570 0.199924161160 Henry Cohn, 2026, needs more optimization.
31 571 0.199939546638 Henry Cohn, 2026, needs more optimization.
31 572 0.199941455805 Henry Cohn, 2026, needs more optimization.
31 573 0.199943474828 Henry Cohn, 2026, needs more optimization.
31 574 0.199945381721 Henry Cohn, 2026, needs more optimization.
31 575 0.199946539886 Henry Cohn, 2026, needs more optimization.
31 576 0.199950744881 Henry Cohn, 2026, needs more optimization.
31 577 0.199953060955 Henry Cohn, 2026, needs more optimization.
31 578 0.199955867856 Henry Cohn, 2026, needs more optimization.
31 579 0.199958169253 Henry Cohn, 2026, needs more optimization.
31 580 0.199960856848 Henry Cohn, 2026, needs more optimization.
31 581 0.199963595784 Henry Cohn, 2026, needs more optimization.
31 582 0.199965848722 Henry Cohn, 2026, needs more optimization.
31 583 0.199968021322 Henry Cohn, 2026, needs more optimization.
31 584 0.199970484731 Henry Cohn, 2026, needs more optimization.
31 585 0.199989670444 Henry Cohn, 2026, needs more optimization.
31 688 0.2 Henry Cohn, 2026.
5⁢x−1
31 689 0.206393942758 Henry Cohn, 2026, needs more optimization.
31 690 0.216338951951 Henry Cohn, 2026, needs more optimization.
31 691 0.216590877535 Henry Cohn, 2026, needs more optimization.
31 692 0.217009797147 Henry Cohn, 2026, needs more optimization.
31 693 0.217313297970 Henry Cohn, 2026, needs more optimization.
31 694 0.217688410538 Henry Cohn, 2026, needs more optimization.
31 695 0.217922603787 Henry Cohn, 2026, needs more optimization.
31 696 0.218109322214 Henry Cohn, 2026, needs more optimization.
31 697 0.218329750323 Henry Cohn, 2026, needs more optimization.
31 698 0.218575533229 Henry Cohn, 2026, needs more optimization.
31 699 0.218825355766 Henry Cohn, 2026, needs more optimization.
31 700 0.219089359501 Henry Cohn, 2026, needs more optimization.
31 701 0.219319938213 Henry Cohn, 2026, needs more optimization.
31 702 0.219638248293 Henry Cohn, 2026, needs more optimization.
31 703 0.219950088120 Henry Cohn, 2026, needs more optimization.
31 704 0.220229124644 Henry Cohn, 2026, needs more optimization.
31 705 0.220514499113 Henry Cohn, 2026, needs more optimization.
31 706 0.220679557004 Henry Cohn, 2026, needs more optimization.
31 707 0.220926316901 Henry Cohn, 2026, needs more optimization.
31 708 0.221179851516 Henry Cohn, 2026, needs more optimization.
31 709 0.221464557379 Henry Cohn, 2026, needs more optimization.
31 710 0.221769844539 Henry Cohn, 2026, needs more optimization.
31 711 0.222046262195 Henry Cohn, 2026, needs more optimization.
31 712 0.222261226423 Henry Cohn, 2026, needs more optimization.
31 713 0.222545182731 Henry Cohn, 2026, needs more optimization.
31 714 0.222749164014 Henry Cohn, 2026, needs more optimization.
31 715 0.223041086289 Henry Cohn, 2026, needs more optimization.
31 716 0.223296168022 Henry Cohn, 2026, needs more optimization.
31 717 0.223589548683 Henry Cohn, 2026, needs more optimization.
31 718 0.223884290476 Henry Cohn, 2026, needs more optimization.
31 719 0.224147922789 Henry Cohn, 2026, needs more optimization.
31 720 0.224417173415 Henry Cohn, 2026, needs more optimization.
31 721 0.224603646486 Henry Cohn, 2026, needs more optimization.
31 722 0.224884257929 Henry Cohn, 2026, needs more optimization.
31 723 0.225122997897 Henry Cohn, 2026, needs more optimization.
31 724 0.225400995090 Henry Cohn, 2026, needs more optimization.
31 725 0.225505329271 Henry Cohn, 2026, needs more optimization.
31 726 0.225828996355 Henry Cohn, 2026, needs more optimization.
31 727 0.226041690953 Henry Cohn, 2026, needs more optimization.
31 728 0.226234778985 Henry Cohn, 2026, needs more optimization.
31 729 0.226559732551 Henry Cohn, 2026, needs more optimization.
31 730 0.226669912522 Henry Cohn, 2026, needs more optimization.
31 731 0.226944896866 Henry Cohn, 2026, needs more optimization.
31 732 0.227198047627 Henry Cohn, 2026, needs more optimization.
31 733 0.227363429178 Henry Cohn, 2026, needs more optimization.
31 734 0.227665087920 Henry Cohn, 2026, needs more optimization.
31 735 0.227804277808 Henry Cohn, 2026, needs more optimization.
31 736 0.228093130571 Henry Cohn, 2026, needs more optimization.
31 737 0.228311856569 Henry Cohn, 2026, needs more optimization.
31 738 0.228624495960 Henry Cohn, 2026, needs more optimization.
31 739 0.228824538902 Henry Cohn, 2026, needs more optimization.
31 740 0.229058944936 Henry Cohn, 2026, needs more optimization.
31 741 0.229256054292 Henry Cohn, 2026, needs more optimization.
31 742 0.229437604591 Henry Cohn, 2026, needs more optimization.
31 743 0.229748239662 Henry Cohn, 2026, needs more optimization.
31 744 0.230003341238 Henry Cohn, 2026, needs more optimization.
31 745 0.230226289719 Henry Cohn, 2026, needs more optimization.
31 746 0.230449082741 Henry Cohn, 2026, needs more optimization.
31 747 0.230704010022 Henry Cohn, 2026, needs more optimization.
31 748 0.230904027177 Henry Cohn, 2026, needs more optimization.
31 749 0.231042345148 Henry Cohn, 2026, needs more optimization.
31 750 0.231294040700 Henry Cohn, 2026, needs more optimization.
31 751 0.231527055938 Henry Cohn, 2026, needs more optimization.
31 752 0.231758955964 Henry Cohn, 2026, needs more optimization.
31 753 0.231961121374 Henry Cohn, 2026, needs more optimization.
31 754 0.232135814761 Henry Cohn, 2026, needs more optimization.
31 755 0.232302312350 Henry Cohn, 2026, needs more optimization.
31 756 0.232470136454 Henry Cohn, 2026, needs more optimization.
31 757 0.232584400450 Henry Cohn, 2026, needs more optimization.
31 758 0.232802424803 Henry Cohn, 2026, needs more optimization.
31 759 0.233079468593 Henry Cohn, 2026, needs more optimization.
31 760 0.233244535391 Henry Cohn, 2026, needs more optimization.
31 761 0.233483327292 Henry Cohn, 2026, needs more optimization.
31 762 0.233583871546 Henry Cohn, 2026, needs more optimization.
31 763 0.233882818326 Henry Cohn, 2026, needs more optimization.
31 764 0.234042939524 Henry Cohn, 2026, needs more optimization.
31 765 0.234195071730 Henry Cohn, 2026, needs more optimization.
31 766 0.234380720583 Henry Cohn, 2026, needs more optimization.
31 767 0.234581087759 Henry Cohn, 2026, needs more optimization.
31 768 0.234755776787 Henry Cohn, 2026, needs more optimization.
31 769 0.234898772334 Henry Cohn, 2026, needs more optimization.
31 770 0.235036823056 Henry Cohn, 2026, needs more optimization.
31 771 0.235209465933 Henry Cohn, 2026, needs more optimization.
31 772 0.235445692372 Henry Cohn, 2026, needs more optimization.
31 773 0.235662094877 Henry Cohn, 2026, needs more optimization.
31 774 0.235809302046 Henry Cohn, 2026, needs more optimization.
31 775 0.236047255448 Henry Cohn, 2026, needs more optimization.
31 776 0.236174627419 Henry Cohn, 2026, needs more optimization.
31 777 0.236351272861 Henry Cohn, 2026, needs more optimization.
31 778 0.236587726830 Henry Cohn, 2026, needs more optimization.
31 779 0.236757800292 Henry Cohn, 2026, needs more optimization.
31 780 0.236977947473 Henry Cohn, 2026, needs more optimization.
31 781 0.237146671781 Henry Cohn, 2026, needs more optimization.
31 782 0.237368665596 Henry Cohn, 2026, needs more optimization.
31 783 0.237541228252 Henry Cohn, 2026, needs more optimization.
31 784 0.237780220815 Henry Cohn, 2026, needs more optimization.
31 1024 0.238095238096 Henry Cohn, 2026.
21⁢x−5
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 0.029441153101 Henry Cohn, 2026.
32 67 0.036091048879 Henry Cohn, 2026, needs more optimization.
32 68 0.036921898559 Henry Cohn, 2026.
32 69 0.037652090605 Henry Cohn, 2026.
32 70 0.040286937968 Henry Cohn, 2026, needs more optimization.
32 71 0.043042345588 Henry Cohn, 2026, needs more optimization.
32 72 0.043340506635 Henry Cohn, 2026, needs more optimization.
32 73 0.043649527601 Henry Cohn, 2026, needs more optimization.
32 74 0.044312064831 Henry Cohn, 2026, needs more optimization.
32 75 0.046983087351 Henry Cohn, 2026, needs more optimization.
32 76 0.048916158897 Henry Cohn, 2026, needs more optimization.
32 77 0.049882260350 Henry Cohn, 2026, needs more optimization.
32 78 0.051358756726 Henry Cohn, 2026, needs more optimization.
32 79 0.053166694893 Henry Cohn, 2026, needs more optimization.
32 80 0.054716199899 Henry Cohn, 2026, needs more optimization.
32 81 0.055651586296 Henry Cohn, 2026, needs more optimization.
32 82 0.056964486782 Henry Cohn, 2026, needs more optimization.
32 83 0.058225444672 Henry Cohn, 2026, needs more optimization.
32 84 0.059657784392 Henry Cohn, 2026, needs more optimization.
32 85 0.060925480895 Henry Cohn, 2026, needs more optimization.
32 86 0.061924997346 Henry Cohn, 2026, needs more optimization.
32 87 0.063171707740 Henry Cohn, 2026, needs more optimization.
32 88 0.064359806694 Henry Cohn, 2026, needs more optimization.
32 89 0.065582105025 Henry Cohn, 2026, needs more optimization.
32 90 0.066403448391 Henry Cohn, 2026, needs more optimization.
32 91 0.067775431578 Henry Cohn, 2026, needs more optimization.
32 92 0.068708894786 Henry Cohn, 2026, needs more optimization.
32 93 0.069830639940 Henry Cohn, 2026, needs more optimization.
32 94 0.070634404784 Henry Cohn, 2026, needs more optimization.
32 95 0.071715164404 Henry Cohn, 2026, needs more optimization.
32 96 0.072860781694 Henry Cohn, 2026, needs more optimization.
32 97 0.073898376460 Henry Cohn, 2026, needs more optimization.
32 98 0.073972144726 Henry Cohn, 2026, needs more optimization.
32 99 0.074680739147 Henry Cohn, 2026, needs more optimization.
32 100 0.075274765242 Henry Cohn, 2026, needs more optimization.
32 101 0.075940927512 Henry Cohn, 2026, needs more optimization.
32 102 0.076146477049 Henry Cohn, 2026, needs more optimization.
32 103 0.076808082676 Henry Cohn, 2026, needs more optimization.
32 104 0.076963571339 Henry Cohn, 2026, needs more optimization.
32 105 0.077085243521 Henry Cohn, 2026, needs more optimization.
32 106 0.077297559971 Henry Cohn, 2026, needs more optimization.
32 107 0.077429837673 Henry Cohn, 2026, needs more optimization.
32 108 0.077645592628 Henry Cohn, 2026, needs more optimization.
32 109 0.077719579605 Henry Cohn, 2026, needs more optimization.
32 110 0.078037359868 Henry Cohn, 2026, needs more optimization.
32 111 0.078890319865 Henry Cohn, 2026, needs more optimization.
32 112 0.079498083714 Henry Cohn, 2026, needs more optimization.
32 113 0.079894749350 Henry Cohn, 2026, needs more optimization.
32 114 0.080452963826 Henry Cohn, 2026, needs more optimization.
32 115 0.080601475190 Henry Cohn, 2026, needs more optimization.
32 116 0.080914991767 Henry Cohn, 2026, needs more optimization.
32 117 0.080994875491 Henry Cohn, 2026, needs more optimization.
32 118 0.081659658551 Henry Cohn, 2026, needs more optimization.
32 119 0.082502674851 Henry Cohn, 2026, needs more optimization.
32 120 0.083465319900 Henry Cohn, 2026, needs more optimization.
32 121 0.084405217301 Henry Cohn, 2026, needs more optimization.
32 122 0.084959387951 Orthogonal union of 120 points in 31 dimensions and 2 points in 1 dimension.
115⁢x2+2⁢x−1
32 123 0.085693559292 Henry Cohn, 2026, needs more optimization.
32 124 0.086217973908 Henry Cohn, 2026, needs more optimization.
32 125 0.086493345720 Henry Cohn, 2026, needs more optimization.
32 126 0.086750695769 Henry Cohn, 2026, needs more optimization.
32 127 0.088536774212 Henry Cohn, 2026, needs more optimization.
32 128 0.088918429605 Henry Cohn, 2026, needs more optimization.
32 129 0.089214408523 Henry Cohn, 2026, needs more optimization.
32 130 0.089596958668 Henry Cohn, 2026, needs more optimization.
32 131 0.089746239314 Henry Cohn, 2026, needs more optimization.
32 132 0.089802773269 Henry Cohn, 2026, needs more optimization.
32 133 0.090010182991 Henry Cohn, 2026, needs more optimization.
32 134 0.090084545596 Henry Cohn, 2026, needs more optimization.
32 135 0.090191820023 Henry Cohn, 2026, needs more optimization.
32 136 0.090741726070 Henry Cohn, 2026, needs more optimization.
32 137 0.091859633393 Henry Cohn, 2026, needs more optimization.
32 138 0.092898105110 Henry Cohn, 2026, needs more optimization.
32 139 0.093783657404 Henry Cohn, 2026, needs more optimization.
32 140 0.094496703581 Henry Cohn, 2026, needs more optimization.
32 141 0.095596744214 Henry Cohn, 2026, needs more optimization.
32 142 0.096711206346 Henry Cohn, 2026, needs more optimization.
32 143 0.097517187321 Henry Cohn, 2026, needs more optimization.
32 144 0.098659674926 Henry Cohn, 2026, needs more optimization.
32 145 0.099651216168 Henry Cohn, 2026, needs more optimization.
32 146 0.100379529131 Henry Cohn, 2026, needs more optimization.
32 147 0.101198657593 Henry Cohn, 2026, needs more optimization.
32 148 0.101934590225 Henry Cohn, 2026, needs more optimization.
32 150 0.102443523050 Henry Cohn, 2026, needs more optimization.
32 151 0.102501448683 Henry Cohn, 2026, needs more optimization.
32 152 0.102599994466 Henry Cohn, 2026, needs more optimization.
32 153 0.103112925959 Henry Cohn, 2026, needs more optimization.
32 154 0.103775244447 Henry Cohn, 2026, needs more optimization.
32 155 0.104815744588 Henry Cohn, 2026, needs more optimization.
32 156 0.105837798814 Henry Cohn, 2026, needs more optimization.
32 157 0.106398508811 Henry Cohn, 2026, needs more optimization.
32 158 0.106942418739 Henry Cohn, 2026, needs more optimization.
32 159 0.107167315138 Henry Cohn, 2026, needs more optimization.
32 160 0.107543191149 Henry Cohn, 2026, needs more optimization.
32 161 0.107901730611 Henry Cohn, 2026, needs more optimization.
32 162 0.108437898198 Henry Cohn, 2026, needs more optimization.
32 163 0.108908183671 Henry Cohn, 2026, needs more optimization.
32 164 0.109509351679 Henry Cohn, 2026, needs more optimization.
32 165 0.110129418779 Henry Cohn, 2026, needs more optimization.
32 166 0.110631224937 Henry Cohn, 2026, needs more optimization.
32 167 0.111438960627 Henry Cohn, 2026, needs more optimization.
32 168 0.112094438647 Henry Cohn, 2026, needs more optimization.
32 169 0.112755671566 Henry Cohn, 2026, needs more optimization.
32 170 0.113526852788 Henry Cohn, 2026, needs more optimization.
32 171 0.114538873891 Henry Cohn, 2026, needs more optimization.
32 172 0.115404888697 Henry Cohn, 2026, needs more optimization.
32 173 0.116308201137 Henry Cohn, 2026, needs more optimization.
32 174 0.117063736855 Henry Cohn, 2026, needs more optimization.
32 175 0.118177394537 Henry Cohn, 2026, needs more optimization.
32 176 0.119017839537 Henry Cohn, 2026, needs more optimization.
32 177 0.119551831754 Henry Cohn, 2026, needs more optimization.
32 178 0.120418872556 Henry Cohn, 2026, needs more optimization.
32 179 0.121440619036 Henry Cohn, 2026, needs more optimization.
32 180 0.121966363186 Henry Cohn, 2026, needs more optimization.
32 181 0.122754483680 Henry Cohn, 2026, needs more optimization.
32 182 0.123469211836 Henry Cohn, 2026, needs more optimization.
32 183 0.124137146124 Henry Cohn, 2026, needs more optimization.
32 184 0.125019992123 Henry Cohn, 2026, needs more optimization.
32 185 0.125751758172 Henry Cohn, 2026, needs more optimization.
32 186 0.126202970908 Henry Cohn, 2026, needs more optimization.
32 187 0.126981387371 Henry Cohn, 2026, needs more optimization.
32 188 0.127638593883 Henry Cohn, 2026, needs more optimization.
32 189 0.128172541160 Henry Cohn, 2026, needs more optimization.
32 190 0.128172541164 Henry Cohn, 2026, needs more optimization.
32 192 0.128228416188 Henry Cohn, 2026, needs more optimization.
32 194 0.128233231645 Henry Cohn, 2026, needs more optimization.
32 195 0.128236388979 Henry Cohn, 2026, needs more optimization.
32 196 0.128248208702 Henry Cohn, 2026, needs more optimization.
32 197 0.128250138439 Henry Cohn, 2026, needs more optimization.
32 198 0.128320460796 Henry Cohn, 2026, needs more optimization.
32 199 0.128662325033 Henry Cohn, 2026, needs more optimization.
32 200 0.129107028061 Henry Cohn, 2026, needs more optimization.
32 201 0.129538925925 Henry Cohn, 2026, needs more optimization.
32 202 0.129964790638 Henry Cohn, 2026, needs more optimization.
32 203 0.130485028645 Henry Cohn, 2026, needs more optimization.
32 204 0.131119602456 Henry Cohn, 2026, needs more optimization.
32 205 0.131973037632 Henry Cohn, 2026, needs more optimization.
32 206 0.132663073610 Henry Cohn, 2026, needs more optimization.
32 207 0.133402831596 Henry Cohn, 2026, needs more optimization.
32 208 0.134103575103 Henry Cohn, 2026, needs more optimization.
32 209 0.134560054280 Henry Cohn, 2026, needs more optimization.
32 210 0.134993085245 Henry Cohn, 2026, needs more optimization.
32 211 0.135574181636 Henry Cohn, 2026, needs more optimization.
32 212 0.135902304507 Henry Cohn, 2026, needs more optimization.
32 213 0.136448417876 Henry Cohn, 2026, needs more optimization.
32 214 0.136793584438 Henry Cohn, 2026, needs more optimization.
32 215 0.137422336857 Henry Cohn, 2026, needs more optimization.
32 216 0.137930063425 Henry Cohn, 2026, needs more optimization.
32 217 0.138573317345 Henry Cohn, 2026, needs more optimization.
32 218 0.138899811942 Henry Cohn, 2026, needs more optimization.
32 219 0.139255310602 Henry Cohn, 2026, needs more optimization.
32 220 0.139857416234 Henry Cohn, 2026, needs more optimization.
32 221 0.140299651562 Henry Cohn, 2026, needs more optimization.
32 222 0.140459450781 Henry Cohn, 2026, needs more optimization.
32 223 0.140540812659 Henry Cohn, 2026, needs more optimization.
32 224 0.140682049335 Henry Cohn, 2026, needs more optimization.
32 225 0.140757070055 Henry Cohn, 2026, needs more optimization.
32 226 0.140896405506 Henry Cohn, 2026, needs more optimization.
32 227 0.141141532154 Henry Cohn, 2026, needs more optimization.
32 228 0.141248061485 Henry Cohn, 2026, needs more optimization.
32 229 0.141420575371 Henry Cohn, 2026, needs more optimization.
32 230 0.141503617201 Henry Cohn, 2026, needs more optimization.
32 231 0.141750647814 Henry Cohn, 2026, needs more optimization.
32 232 0.141908491866 Henry Cohn, 2026, needs more optimization.
32 233 0.142036356703 Henry Cohn, 2026, needs more optimization.
32 234 0.142131438963 Henry Cohn, 2026, needs more optimization.
32 235 0.142442640350 Henry Cohn, 2026, needs more optimization.
32 236 0.142699837566 Henry Cohn, 2026, needs more optimization.
32 237 0.142777469639 Henry Cohn, 2026, needs more optimization.
32 238 0.142903038419 Henry Cohn, 2026, needs more optimization.
32 239 0.143079482003 Henry Cohn, 2026, needs more optimization.
32 240 0.143627436472 Henry Cohn, 2026, needs more optimization.
32 241 0.143698079386 Henry Cohn, 2026, needs more optimization.
32 242 0.143935557602 Henry Cohn, 2026, needs more optimization.
32 243 0.144261099294 Henry Cohn, 2026, needs more optimization.
32 244 0.144648208128 Henry Cohn, 2026, needs more optimization.
32 245 0.144878218338 Henry Cohn, 2026, needs more optimization.
32 246 0.144958594754 Henry Cohn, 2026, needs more optimization.
32 247 0.145090340578 Henry Cohn, 2026, needs more optimization.
32 248 0.145394705093 Henry Cohn, 2026, needs more optimization.
32 249 0.145602186759 Henry Cohn, 2026, needs more optimization.
32 250 0.145794248327 Henry Cohn, 2026, needs more optimization.
32 251 0.146020446273 Henry Cohn, 2026, needs more optimization.
32 252 0.146061573986 Henry Cohn, 2026, needs more optimization.
32 253 0.146263225900 Henry Cohn, 2026, needs more optimization.
32 254 0.146396195822 Henry Cohn, 2026, needs more optimization.
32 255 0.146486267216 Henry Cohn, 2026, needs more optimization.
32 256 0.146625486338 Henry Cohn, 2026, needs more optimization.
32 257 0.146626606614 Henry Cohn, 2026, needs more optimization.
32 258 0.146743384572 Henry Cohn, 2026, needs more optimization.
32 259 0.146916663628 Henry Cohn, 2026, needs more optimization.
32 260 0.147243432592 Henry Cohn, 2026, needs more optimization.
32 261 0.147519444565 Henry Cohn, 2026, needs more optimization.
32 262 0.147924717813 Henry Cohn, 2026, needs more optimization.
32 263 0.147943904504 Henry Cohn, 2026, needs more optimization.
32 264 0.148069650123 Henry Cohn, 2026, needs more optimization.
32 265 0.148210531269 Henry Cohn, 2026, needs more optimization.
32 266 0.148412357774 Henry Cohn, 2026, needs more optimization.
32 267 0.148500155854 Henry Cohn, 2026, needs more optimization.
32 268 0.148669195772 Henry Cohn, 2026, needs more optimization.
32 269 0.148964324487 Henry Cohn, 2026, needs more optimization.
32 270 0.149162651130 Henry Cohn, 2026, needs more optimization.
32 271 0.149384859043 Henry Cohn, 2026, needs more optimization.
32 272 0.149902141119 Henry Cohn, 2026, needs more optimization.
32 273 0.150478983803 Henry Cohn, 2026, needs more optimization.
32 274 0.150825121352 Henry Cohn, 2026, needs more optimization.
32 275 0.151464121897 Henry Cohn, 2026, needs more optimization.
32 276 0.151954210303 Henry Cohn, 2026, needs more optimization.
32 277 0.152558570577 Henry Cohn, 2026, needs more optimization.
32 278 0.152878974269 Henry Cohn, 2026, needs more optimization.
32 279 0.153141565263 Henry Cohn, 2026, needs more optimization.
32 280 0.153324098410 Henry Cohn, 2026, needs more optimization.
32 281 0.153734089262 Henry Cohn, 2026, needs more optimization.
32 282 0.154012221547 Henry Cohn, 2026, needs more optimization.
32 283 0.154427841271 Henry Cohn, 2026, needs more optimization.
32 284 0.155018412751 Henry Cohn, 2026, needs more optimization.
32 285 0.155424110374 Henry Cohn, 2026, needs more optimization.
32 286 0.155892296890 Henry Cohn, 2026, needs more optimization.
32 287 0.156443090381 Henry Cohn, 2026, needs more optimization.
32 288 0.156727613108 Henry Cohn, 2026, needs more optimization.
32 289 0.157137461644 Henry Cohn, 2026, needs more optimization.
32 290 0.157600606380 Henry Cohn, 2026, needs more optimization.
32 291 0.157780111999 Henry Cohn, 2026, needs more optimization.
32 292 0.158325396757 Henry Cohn, 2026, needs more optimization.
32 293 0.158605361781 Henry Cohn, 2026, needs more optimization.
32 294 0.159046681571 Henry Cohn, 2026, needs more optimization.
32 295 0.159427816290 Henry Cohn, 2026, needs more optimization.
32 296 0.159998523984 Henry Cohn, 2026, needs more optimization.
32 297 0.160254580972 Henry Cohn, 2026, needs more optimization.
32 298 0.160767613325 Henry Cohn, 2026, needs more optimization.
32 299 0.160992661270 Henry Cohn, 2026, needs more optimization.
32 300 0.161008621293 Henry Cohn, 2026, needs more optimization.
32 301 0.161040261695 Henry Cohn, 2026, needs more optimization.
32 302 0.161175031619 Henry Cohn, 2026, needs more optimization.
32 303 0.161339000354 Henry Cohn, 2026, needs more optimization.
32 304 0.161460245990 Henry Cohn, 2026, needs more optimization.
32 305 0.161541281306 Henry Cohn, 2026, needs more optimization.
32 306 0.161542946574 Henry Cohn, 2026, needs more optimization.
32 307 0.161658060892 Henry Cohn, 2026, needs more optimization.
32 308 0.161716587335 Henry Cohn, 2026, needs more optimization.
32 309 0.161799102497 Henry Cohn, 2026, needs more optimization.
32 310 0.161841121769 Henry Cohn, 2026, needs more optimization.
32 311 0.161895937117 Henry Cohn, 2026, needs more optimization.
32 312 0.161954777405 Henry Cohn, 2026, needs more optimization.
32 313 0.162006446057 Henry Cohn, 2026, needs more optimization.
32 314 0.162059520661 Henry Cohn, 2026, needs more optimization.
32 315 0.162103070331 Henry Cohn, 2026, needs more optimization.
32 316 0.162202044882 Henry Cohn, 2026, needs more optimization.
32 317 0.162276668333 Henry Cohn, 2026, needs more optimization.
32 318 0.162349023386 Henry Cohn, 2026, needs more optimization.
32 319 0.162420860069 Henry Cohn, 2026, needs more optimization.
32 320 0.162495503312 Henry Cohn, 2026, needs more optimization.
32 321 0.162556291571 Henry Cohn, 2026, needs more optimization.
32 322 0.162638509082 Henry Cohn, 2026, needs more optimization.
32 323 0.162727110995 Henry Cohn, 2026, needs more optimization.
32 324 0.162836269745 Henry Cohn, 2026, needs more optimization.
32 325 0.163004208040 Henry Cohn, 2026, needs more optimization.
32 326 0.163092839678 Henry Cohn, 2026, needs more optimization.
32 327 0.163190944285 Henry Cohn, 2026, needs more optimization.
32 328 0.163249134997 Henry Cohn, 2026, needs more optimization.
32 329 0.163334203201 Henry Cohn, 2026, needs more optimization.
32 330 0.163406812285 Henry Cohn, 2026, needs more optimization.
32 331 0.163500076972 Henry Cohn, 2026, needs more optimization.
32 332 0.163601724957 Henry Cohn, 2026, needs more optimization.
32 333 0.163751844661 Henry Cohn, 2026, needs more optimization.
32 334 0.163836902138 Henry Cohn, 2026, needs more optimization.
32 335 0.163906236016 Henry Cohn, 2026, needs more optimization.
32 336 0.164033493890 Henry Cohn, 2026, needs more optimization.
32 337 0.164175961888 Henry Cohn, 2026, needs more optimization.
32 338 0.164284836090 Henry Cohn, 2026, needs more optimization.
32 339 0.164476051586 Henry Cohn, 2026, needs more optimization.
32 340 0.164560175659 Henry Cohn, 2026, needs more optimization.
32 341 0.164669122200 Henry Cohn, 2026, needs more optimization.
32 342 0.164732343553 Henry Cohn, 2026, needs more optimization.
32 343 0.164856895719 Henry Cohn, 2026, needs more optimization.
32 344 0.164936492158 Henry Cohn, 2026, needs more optimization.
32 345 0.165009887877 Henry Cohn, 2026, needs more optimization.
32 346 0.165107860858 Henry Cohn, 2026, needs more optimization.
32 347 0.165277586773 Henry Cohn, 2026, needs more optimization.
32 348 0.165407779513 Henry Cohn, 2026, needs more optimization.
32 349 0.165542881730 Henry Cohn, 2026, needs more optimization.
32 350 0.165647140743 Henry Cohn, 2026, needs more optimization.
32 351 0.165785913257 Henry Cohn, 2026, needs more optimization.
32 352 0.165922606653 Henry Cohn, 2026, needs more optimization.
32 353 0.166057938312 Henry Cohn, 2026, needs more optimization.
32 354 0.166229675105 Henry Cohn, 2026, needs more optimization.
32 355 0.166447652166 Henry Cohn, 2026, needs more optimization.
32 356 0.166710514396 Henry Cohn, 2026, needs more optimization.
32 357 0.166726723385 Henry Cohn, 2026, needs more optimization.
32 358 0.166749749874 Henry Cohn, 2026, needs more optimization.
32 359 0.166815149702 Henry Cohn, 2026, needs more optimization.
32 360 0.167081884755 Henry Cohn, 2026, needs more optimization.
32 361 0.167555996595 Henry Cohn, 2026, needs more optimization.
32 362 0.167581322717 Henry Cohn, 2026, needs more optimization.
32 363 0.177302185730 Henry Cohn, 2026, needs more optimization.
32 364 0.177331862780 Henry Cohn, 2026, needs more optimization.
32 365 0.177349694593 Henry Cohn, 2026, needs more optimization.
32 366 0.177376375589 Henry Cohn, 2026, needs more optimization.
32 367 0.177401800103 Henry Cohn, 2026, needs more optimization.
32 368 0.177890694574 Henry Cohn, 2026, needs more optimization.
32 369 0.177899347953 Henry Cohn, 2026, needs more optimization.
32 370 0.177927281801 Henry Cohn, 2026, needs more optimization.
32 371 0.177952856013 Henry Cohn, 2026, needs more optimization.
32 372 0.177976085226 Henry Cohn, 2026, needs more optimization.
32 373 0.178094762979 Henry Cohn, 2026, needs more optimization.
32 374 0.178146394343 Henry Cohn, 2026, needs more optimization.
32 375 0.178193943933 Henry Cohn, 2026, needs more optimization.
32 376 0.178232252685 Henry Cohn, 2026, needs more optimization.
32 377 0.178262508247 Henry Cohn, 2026, needs more optimization.
32 378 0.178283371977 Henry Cohn, 2026, needs more optimization.
32 379 0.178327410879 Henry Cohn, 2026, needs more optimization.
32 382 0.178544988346 Henry Cohn, 2026, needs more optimization.
32 383 0.178576515381 Henry Cohn, 2026, needs more optimization.
32 384 0.178579524792 Henry Cohn, 2026, needs more optimization.
32 385 0.178604670240 Henry Cohn, 2026, needs more optimization.
32 386 0.178608727586 Henry Cohn, 2026, needs more optimization.
32 387 0.178633004549 Henry Cohn, 2026, needs more optimization.
32 388 0.178652488052 Henry Cohn, 2026, needs more optimization.
32 389 0.178655653875 Henry Cohn, 2026, needs more optimization.
32 390 0.178681923505 Henry Cohn, 2026, needs more optimization.
32 391 0.178735398706 Henry Cohn, 2026, needs more optimization.
32 392 0.178769746335 Henry Cohn, 2026, needs more optimization.
32 393 0.178846555086 Henry Cohn, 2026, needs more optimization.
32 394 0.178863544033 Henry Cohn, 2026, needs more optimization.
32 395 0.178878130989 Henry Cohn, 2026, needs more optimization.
32 396 0.178958673869 Henry Cohn, 2026, needs more optimization.
32 397 0.179072507666 Henry Cohn, 2026, needs more optimization.
32 398 0.179491348858 Henry Cohn, 2026, needs more optimization.
32 399 0.179764188998 Henry Cohn, 2026, needs more optimization.
32 400 0.180086458929 Henry Cohn, 2026, needs more optimization.
32 401 0.180215205532 Henry Cohn, 2026, needs more optimization.
32 402 0.180456871483 Henry Cohn, 2026, needs more optimization.
32 403 0.180907700589 Henry Cohn, 2026, needs more optimization.
32 404 0.180969232726 Henry Cohn, 2026, needs more optimization.
32 405 0.181337184625 Henry Cohn, 2026, needs more optimization.
32 406 0.181519513506 Henry Cohn, 2026, needs more optimization.
32 407 0.181625553660 Henry Cohn, 2026, needs more optimization.
32 408 0.182314831309 Henry Cohn, 2026, needs more optimization.
32 409 0.182427470493 Henry Cohn, 2026, needs more optimization.
32 410 0.182626083771 Henry Cohn, 2026, needs more optimization.
32 411 0.182929766089 Henry Cohn, 2026, needs more optimization.
32 412 0.183014777798 Henry Cohn, 2026, needs more optimization.
32 413 0.183188430150 Henry Cohn, 2026, needs more optimization.
32 414 0.183307524017 Henry Cohn, 2026, needs more optimization.
32 415 0.183596306196 Henry Cohn, 2026, needs more optimization.
32 416 0.183988723561 Henry Cohn, 2026, needs more optimization.
32 417 0.184159731821 Henry Cohn, 2026, needs more optimization.
32 418 0.184675919055 Henry Cohn, 2026, needs more optimization.
32 419 0.184994359618 Henry Cohn, 2026, needs more optimization.
32 420 0.185154115524 Henry Cohn, 2026, needs more optimization.
32 421 0.185699944264 Henry Cohn, 2026, needs more optimization.
32 422 0.185944770407 Henry Cohn, 2026, needs more optimization.
32 423 0.186177733614 Henry Cohn, 2026, needs more optimization.
32 424 0.186233094151 Henry Cohn, 2026, needs more optimization.
32 425 0.186304116182 Henry Cohn, 2026, needs more optimization.
32 426 0.186381308814 Henry Cohn, 2026, needs more optimization.
32 427 0.186649350813 Henry Cohn, 2026, needs more optimization.
32 428 0.187156370066 Henry Cohn, 2026, needs more optimization.
32 429 0.187466455185 Henry Cohn, 2026, needs more optimization.
32 430 0.187603838766 Henry Cohn, 2026, needs more optimization.
32 431 0.187756849508 Henry Cohn, 2026, needs more optimization.
32 432 0.188288349300 Henry Cohn, 2026, needs more optimization.
32 433 0.188472638892 Henry Cohn, 2026, needs more optimization.
32 434 0.188533278006 Henry Cohn, 2026, needs more optimization.
32 435 0.188639104850 Henry Cohn, 2026, needs more optimization.
32 436 0.188959678571 Henry Cohn, 2026, needs more optimization.
32 437 0.189024383512 Henry Cohn, 2026, needs more optimization.
32 438 0.189124076557 Henry Cohn, 2026, needs more optimization.
32 439 0.189324232023 Henry Cohn, 2026, needs more optimization.
32 440 0.189532395364 Henry Cohn, 2026, needs more optimization.
32 441 0.189672259858 Henry Cohn, 2026, needs more optimization.
32 442 0.189900823131 Henry Cohn, 2026, needs more optimization.
32 443 0.189987915327 Henry Cohn, 2026, needs more optimization.
32 444 0.190013044280 Henry Cohn, 2026, needs more optimization.
32 445 0.190078726116 Henry Cohn, 2026, needs more optimization.
32 446 0.190201296336 Henry Cohn, 2026, needs more optimization.
32 447 0.190463819200 Henry Cohn, 2026, needs more optimization.
32 448 0.190683313031 Henry Cohn, 2026, needs more optimization.
32 449 0.191155918706 Henry Cohn, 2026, needs more optimization.
32 450 0.191282100701 Henry Cohn, 2026, needs more optimization.
32 451 0.191495074464 Henry Cohn, 2026, needs more optimization.
32 452 0.191576874834 Henry Cohn, 2026, needs more optimization.
32 453 0.191659514339 Henry Cohn, 2026, needs more optimization.
32 454 0.191704850597 Henry Cohn, 2026, needs more optimization.
32 455 0.191861010246 Henry Cohn, 2026, needs more optimization.
32 456 0.192091260292 Henry Cohn, 2026, needs more optimization.
32 457 0.192171979647 Henry Cohn, 2026, needs more optimization.
32 458 0.192211987615 Henry Cohn, 2026, needs more optimization.
32 459 0.192489231936 Henry Cohn, 2026, needs more optimization.
32 460 0.192629760494 Henry Cohn, 2026, needs more optimization.
32 461 0.192696332545 Henry Cohn, 2026, needs more optimization.
32 462 0.192915278928 Henry Cohn, 2026, needs more optimization.
32 463 0.193033419147 Henry Cohn, 2026, needs more optimization.
32 464 0.193220004531 Henry Cohn, 2026, needs more optimization.
32 465 0.193270119025 Henry Cohn, 2026, needs more optimization.
32 466 0.193533487220 Henry Cohn, 2026, needs more optimization.
32 467 0.193687136018 Henry Cohn, 2026, needs more optimization.
32 468 0.193776743824 Henry Cohn, 2026, needs more optimization.
32 469 0.194046634886 Henry Cohn, 2026, needs more optimization.
32 470 0.194121143922 Henry Cohn, 2026, needs more optimization.
32 471 0.194171429100 Henry Cohn, 2026, needs more optimization.
32 472 0.194193297288 Henry Cohn, 2026, needs more optimization.
32 473 0.194392810797 Henry Cohn, 2026, needs more optimization.
32 474 0.194463212430 Henry Cohn, 2026, needs more optimization.
32 475 0.194505409208 Henry Cohn, 2026, needs more optimization.
32 476 0.194555469704 Henry Cohn, 2026, needs more optimization.
32 477 0.194738907350 Henry Cohn, 2026, needs more optimization.
32 478 0.194840101190 Henry Cohn, 2026, needs more optimization.
32 479 0.194948226488 Henry Cohn, 2026, needs more optimization.
32 528 0.195121951220 Henry Cohn, 2026.
41⁢x−8
32 529 0.199431905267 Henry Cohn, 2026, needs more optimization.
32 530 0.199436770554 Henry Cohn, 2026, needs more optimization.
32 531 0.199447345144 Henry Cohn, 2026, needs more optimization.
32 532 0.199449519355 Henry Cohn, 2026, needs more optimization.
32 533 0.199451424291 Henry Cohn, 2026, needs more optimization.
32 534 0.199454167292 Henry Cohn, 2026, needs more optimization.
32 535 0.199458163013 Henry Cohn, 2026, needs more optimization.
32 536 0.199461853768 Henry Cohn, 2026, needs more optimization.
32 537 0.199479626339 Henry Cohn, 2026, needs more optimization.
32 538 0.199484942302 Henry Cohn, 2026, needs more optimization.
32 539 0.199514389083 Henry Cohn, 2026, needs more optimization.
32 540 0.199517727615 Henry Cohn, 2026, needs more optimization.
32 541 0.199521641432 Henry Cohn, 2026, needs more optimization.
32 542 0.199618100759 Henry Cohn, 2026, needs more optimization.
32 543 0.199625012112 Henry Cohn, 2026, needs more optimization.
32 544 0.199653830486 Henry Cohn, 2026, needs more optimization.
32 545 0.199656208216 Henry Cohn, 2026, needs more optimization.
32 546 0.199659757096 Henry Cohn, 2026, needs more optimization.
32 547 0.199662305198 Henry Cohn, 2026, needs more optimization.
32 548 0.199670861540 Henry Cohn, 2026, needs more optimization.
32 549 0.199681145321 Henry Cohn, 2026, needs more optimization.
32 550 0.199684050905 Henry Cohn, 2026, needs more optimization.
32 551 0.199687733597 Henry Cohn, 2026, needs more optimization.
32 552 0.199690730962 Henry Cohn, 2026, needs more optimization.
32 553 0.199692751702 Henry Cohn, 2026, needs more optimization.
32 554 0.199696416053 Henry Cohn, 2026, needs more optimization.
32 555 0.199706480662 Henry Cohn, 2026, needs more optimization.
32 556 0.199709937456 Henry Cohn, 2026, needs more optimization.
32 557 0.199718352654 Henry Cohn, 2026, needs more optimization.
32 558 0.199721854247 Henry Cohn, 2026, needs more optimization.
32 559 0.199726430898 Henry Cohn, 2026, needs more optimization.
32 560 0.199729781917 Henry Cohn, 2026, needs more optimization.
32 561 0.199732913724 Henry Cohn, 2026, needs more optimization.
32 562 0.199736369276 Henry Cohn, 2026, needs more optimization.
32 563 0.199740453051 Henry Cohn, 2026, needs more optimization.
32 564 0.199745828257 Henry Cohn, 2026, needs more optimization.
32 565 0.199754093314 Henry Cohn, 2026, needs more optimization.
32 566 0.199756711132 Henry Cohn, 2026, needs more optimization.
32 567 0.199758527748 Henry Cohn, 2026, needs more optimization.
32 568 0.199760046148 Henry Cohn, 2026, needs more optimization.
32 569 0.199762445097 Henry Cohn, 2026, needs more optimization.
32 570 0.199766015487 Henry Cohn, 2026, needs more optimization.
32 571 0.199770635421 Henry Cohn, 2026, needs more optimization.
32 572 0.199773728595 Henry Cohn, 2026, needs more optimization.
32 573 0.199777237493 Henry Cohn, 2026, needs more optimization.
32 574 0.199803380676 Henry Cohn, 2026, needs more optimization.
32 575 0.199807718057 Henry Cohn, 2026, needs more optimization.
32 576 0.199813755843 Henry Cohn, 2026, needs more optimization.
32 577 0.199817750999 Henry Cohn, 2026, needs more optimization.
32 578 0.199824740258 Henry Cohn, 2026, needs more optimization.
32 579 0.199827181601 Henry Cohn, 2026, needs more optimization.
32 580 0.199831557188 Henry Cohn, 2026, needs more optimization.
32 581 0.199834321059 Henry Cohn, 2026, needs more optimization.
32 582 0.199839811539 Henry Cohn, 2026, needs more optimization.
32 583 0.199860274289 Henry Cohn, 2026, needs more optimization.
32 584 0.199862474172 Henry Cohn, 2026, needs more optimization.
32 585 0.199864361301 Henry Cohn, 2026, needs more optimization.
32 586 0.199867560742 Henry Cohn, 2026, needs more optimization.
32 587 0.199869728893 Henry Cohn, 2026, needs more optimization.
32 588 0.199872310634 Henry Cohn, 2026, needs more optimization.
32 589 0.199874398585 Henry Cohn, 2026, needs more optimization.
32 590 0.199878571411 Henry Cohn, 2026, needs more optimization.
32 591 0.199897577289 Henry Cohn, 2026, needs more optimization.
32 592 0.199901216397 Henry Cohn, 2026, needs more optimization.
32 593 0.199903951371 Henry Cohn, 2026, needs more optimization.
32 594 0.199905893080 Henry Cohn, 2026, needs more optimization.
32 595 0.199909403885 Henry Cohn, 2026, needs more optimization.
32 596 0.199925846102 Henry Cohn, 2026, needs more optimization.
32 597 0.199977896358 Henry Cohn, 2026, needs more optimization.
32 598 0.199978352870 Henry Cohn, 2026, needs more optimization.
32 599 0.199978730028 Henry Cohn, 2026, needs more optimization.
32 600 0.199979389836 Henry Cohn, 2026, needs more optimization.
32 601 0.199980027799 Henry Cohn, 2026, needs more optimization.
32 602 0.199980757711 Henry Cohn, 2026, needs more optimization.
32 603 0.199981681003 Henry Cohn, 2026, needs more optimization.
32 604 0.199982564176 Henry Cohn, 2026, needs more optimization.
32 605 0.199982866652 Henry Cohn, 2026, needs more optimization.
32 606 0.199983678542 Henry Cohn, 2026, needs more optimization.
32 607 0.199984659383 Henry Cohn, 2026, needs more optimization.
32 608 0.199985301214 Henry Cohn, 2026, needs more optimization.
32 609 0.199986443348 Henry Cohn, 2026, needs more optimization.
32 610 0.199987578920 Henry Cohn, 2026, needs more optimization.
32 611 0.199988104507 Henry Cohn, 2026, needs more optimization.
32 612 0.199989785589 Henry Cohn, 2026, needs more optimization.
32 613 0.199990414780 Henry Cohn, 2026, needs more optimization.
32 614 0.199990832315 Henry Cohn, 2026, needs more optimization.
32 615 0.199991461319 Henry Cohn, 2026, needs more optimization.
32 616 0.199993151620 Henry Cohn, 2026, needs more optimization.
32 617 0.199996443438 Henry Cohn, 2026, needs more optimization.
32 618 0.199997126885 Henry Cohn, 2026, needs more optimization.
32 619 0.199997632409 Henry Cohn, 2026, needs more optimization.
32 620 0.199998228427 Henry Cohn, 2026, needs more optimization.
32 704 0.2 Henry Cohn, 2026.
5⁢x−1
32 705 0.209425243546 Henry Cohn, 2026, needs more optimization.
32 706 0.212811863276 Henry Cohn, 2026, needs more optimization.
32 707 0.212885745781 Henry Cohn, 2026, needs more optimization.
32 708 0.213156561104 Henry Cohn, 2026, needs more optimization.
32 709 0.213269237160 Henry Cohn, 2026, needs more optimization.
32 710 0.214375478808 Henry Cohn, 2026, needs more optimization.
32 711 0.214612645189 Henry Cohn, 2026, needs more optimization.
32 712 0.214689114145 Henry Cohn, 2026, needs more optimization.
32 713 0.214811674549 Henry Cohn, 2026, needs more optimization.
32 714 0.214978669140 Henry Cohn, 2026, needs more optimization.
32 715 0.215011273505 Henry Cohn, 2026, needs more optimization.
32 716 0.215263217057 Henry Cohn, 2026, needs more optimization.
32 717 0.215350692402 Henry Cohn, 2026, needs more optimization.
32 718 0.216552673357 Henry Cohn, 2026, needs more optimization.
32 719 0.216604883024 Henry Cohn, 2026, needs more optimization.
32 720 0.216776962913 Henry Cohn, 2026, needs more optimization.
32 721 0.216826078830 Henry Cohn, 2026, needs more optimization.
32 722 0.217196014796 Henry Cohn, 2026, needs more optimization.
32 723 0.217282468310 Henry Cohn, 2026, needs more optimization.
32 724 0.217748079947 Henry Cohn, 2026, needs more optimization.
32 725 0.217796052033 Henry Cohn, 2026, needs more optimization.
32 726 0.218146412042 Henry Cohn, 2026, needs more optimization.
32 727 0.218203433979 Henry Cohn, 2026, needs more optimization.
32 728 0.218223235205 Henry Cohn, 2026, needs more optimization.
32 729 0.218302734848 Henry Cohn, 2026, needs more optimization.
32 730 0.218352683512 Henry Cohn, 2026, needs more optimization.
32 731 0.219226993157 Henry Cohn, 2026, needs more optimization.
32 732 0.219420287090 Henry Cohn, 2026, needs more optimization.
32 733 0.219512099128 Henry Cohn, 2026, needs more optimization.
32 734 0.219765214557 Henry Cohn, 2026, needs more optimization.
32 735 0.219795165599 Henry Cohn, 2026, needs more optimization.
32 736 0.220189797858 Henry Cohn, 2026, needs more optimization.
32 737 0.220287315150 Henry Cohn, 2026, needs more optimization.
32 738 0.220501175912 Henry Cohn, 2026, needs more optimization.
32 739 0.220626338352 Henry Cohn, 2026, needs more optimization.
32 740 0.220699976841 Henry Cohn, 2026, needs more optimization.
32 741 0.221559314166 Henry Cohn, 2026, needs more optimization.
32 742 0.221662793298 Henry Cohn, 2026, needs more optimization.
32 743 0.221780188881 Henry Cohn, 2026, needs more optimization.
32 744 0.221825467747 Henry Cohn, 2026, needs more optimization.
32 745 0.221989551881 Henry Cohn, 2026, needs more optimization.
32 746 0.222032815038 Henry Cohn, 2026, needs more optimization.
32 747 0.222193083605 Henry Cohn, 2026, needs more optimization.
32 748 0.222239678869 Henry Cohn, 2026, needs more optimization.
32 749 0.222305917150 Henry Cohn, 2026, needs more optimization.
32 750 0.223440653123 Henry Cohn, 2026, needs more optimization.
32 751 0.223500792930 Henry Cohn, 2026, needs more optimization.
32 752 0.223618275246 Henry Cohn, 2026, needs more optimization.
32 753 0.223748450706 Henry Cohn, 2026, needs more optimization.
32 754 0.223797362022 Henry Cohn, 2026, needs more optimization.
32 755 0.223966901807 Henry Cohn, 2026, needs more optimization.
32 756 0.224030602753 Henry Cohn, 2026, needs more optimization.
32 757 0.224193610649 Henry Cohn, 2026, needs more optimization.
32 758 0.224420025479 Henry Cohn, 2026, needs more optimization.
32 759 0.225229660856 Henry Cohn, 2026, needs more optimization.
32 760 0.225300026208 Henry Cohn, 2026, needs more optimization.
32 761 0.225461926869 Henry Cohn, 2026, needs more optimization.
32 762 0.225481690785 Henry Cohn, 2026, needs more optimization.
32 763 0.225641968797 Henry Cohn, 2026, needs more optimization.
32 764 0.225694515764 Henry Cohn, 2026, needs more optimization.
32 765 0.225736763767 Henry Cohn, 2026, needs more optimization.
32 766 0.226377994985 Henry Cohn, 2026, needs more optimization.
32 767 0.226495151175 Henry Cohn, 2026, needs more optimization.
32 768 0.226556109368 Henry Cohn, 2026, needs more optimization.
32 769 0.226744164678 Henry Cohn, 2026, needs more optimization.
32 770 0.226798399649 Henry Cohn, 2026, needs more optimization.
32 771 0.227792388954 Henry Cohn, 2026, needs more optimization.
32 772 0.227816224797 Henry Cohn, 2026, needs more optimization.
32 773 0.227946556470 Henry Cohn, 2026, needs more optimization.
32 774 0.227987992282 Henry Cohn, 2026, needs more optimization.
32 775 0.227998039415 Henry Cohn, 2026, needs more optimization.
32 776 0.228188305824 Henry Cohn, 2026, needs more optimization.
32 777 0.228395128804 Henry Cohn, 2026, needs more optimization.
32 778 0.228417582138 Henry Cohn, 2026, needs more optimization.
32 779 0.228674098536 Henry Cohn, 2026, needs more optimization.
32 780 0.228814357966 Henry Cohn, 2026, needs more optimization.
32 781 0.228895842035 Henry Cohn, 2026, needs more optimization.
32 782 0.228963264746 Henry Cohn, 2026, needs more optimization.
32 783 0.229001450430 Henry Cohn, 2026, needs more optimization.
32 784 0.229105638517 Henry Cohn, 2026, needs more optimization.
32 785 0.229261978544 Henry Cohn, 2026, needs more optimization.
32 786 0.231580765085 Henry Cohn, 2026, needs more optimization.
32 787 0.231660729284 Henry Cohn, 2026, needs more optimization.
32 788 0.231661557571 Henry Cohn, 2026, needs more optimization.
32 789 0.231848117358 Henry Cohn, 2026, needs more optimization.
32 790 0.231879326486 Henry Cohn, 2026, needs more optimization.
32 791 0.232005889998 Henry Cohn, 2026, needs more optimization.
32 792 0.232080211293 Henry Cohn, 2026, needs more optimization.
32 793 0.232128202317 Henry Cohn, 2026, needs more optimization.
32 794 0.232178777814 Henry Cohn, 2026, needs more optimization.
32 795 0.232308824762 Henry Cohn, 2026, needs more optimization.
32 796 0.232412886844 Henry Cohn, 2026, needs more optimization.
32 797 0.232463268569 Henry Cohn, 2026, needs more optimization.
32 798 0.232622677349 Henry Cohn, 2026, needs more optimization.
32 799 0.232738030972 Henry Cohn, 2026, needs more optimization.
32 800 0.232893802349 Henry Cohn, 2026, needs more optimization.
32 801 0.232997647650 Henry Cohn, 2026, needs more optimization.
32 802 0.233199091932 Henry Cohn, 2026, needs more optimization.
32 803 0.233314334866 Henry Cohn, 2026, needs more optimization.
32 804 0.233478271358 Henry Cohn, 2026, needs more optimization.
32 805 0.233618245460 Henry Cohn, 2026, needs more optimization.
32 806 0.233769850961 Henry Cohn, 2026, needs more optimization.
32 807 0.233917058492 Henry Cohn, 2026, needs more optimization.
32 808 0.234144590317 Henry Cohn, 2026, needs more optimization.
32 809 0.234268073679 Henry Cohn, 2026, needs more optimization.
32 810 0.234481144799 Henry Cohn, 2026, needs more optimization.
32 811 0.234641174090 Henry Cohn, 2026, needs more optimization.
32 812 0.234786546375 Henry Cohn, 2026, needs more optimization.
32 813 0.234884059556 Henry Cohn, 2026, needs more optimization.
32 814 0.235060780232 Henry Cohn, 2026, needs more optimization.
32 815 0.235234960418 Henry Cohn, 2026, needs more optimization.
32 816 0.235348514374 Henry Cohn, 2026, needs more optimization.
32 817 0.235588263545 Henry Cohn, 2026, needs more optimization.
32 818 0.235720283542 Henry Cohn, 2026, needs more optimization.
32 819 0.235855545851 Henry Cohn, 2026, needs more optimization.
32 820 0.235980615151 Henry Cohn, 2026, needs more optimization.
32 821 0.236129713964 Henry Cohn, 2026, needs more optimization.
32 822 0.236303303819 Henry Cohn, 2026, needs more optimization.
32 823 0.236422206422 Henry Cohn, 2026, needs more optimization.
32 824 0.236536633045 Henry Cohn, 2026, needs more optimization.
32 825 0.236736604361 Henry Cohn, 2026, needs more optimization.
32 826 0.236886213356 Henry Cohn, 2026, needs more optimization.
32 827 0.237020853620 Henry Cohn, 2026, needs more optimization.
32 828 0.237216936114 Henry Cohn, 2026, needs more optimization.
32 829 0.237432108544 Henry Cohn, 2026, needs more optimization.
32 830 0.237554839645 Henry Cohn, 2026, needs more optimization.
32 831 0.237714328653 Henry Cohn, 2026, needs more optimization.
32 832 0.237787640312 Henry Cohn, 2026, needs more optimization.
32 833 0.237985934850 Henry Cohn, 2026, needs more optimization.
32 1024 0.238095238096 Code with 1024 points in 31 dimensions.
21⁢x−5
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