| Label |
Polynomial |
Degree |
Signature |
Discriminant |
Ram. prime count |
Root discriminant |
Galois root discriminant |
CM field |
Galois |
Monogenic |
Galois group |
Class group |
Unit group torsion |
Unit group rank |
Regulator |
| 20.0.715...000.1 |
$x^{20} + 2 x^{18} + 2 x^{16} + 4 x^{14} + 11 x^{12} + 14 x^{10} + 11 x^{8} + 6 x^{6} + 5 x^{4} + 4 x^{2} + 1$ |
$20$ |
[0,10] |
$2^{10}\cdot 5^{4}\cdot 5783^{4}$ |
$3$ |
$11.0341691475$ |
$623.724552629587$ |
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$9$ |
$87.5155752534$ |
| 20.0.126...424.1 |
$x^{20} + 5 x^{18} + 14 x^{16} + 27 x^{14} + 41 x^{12} + 53 x^{10} + 55 x^{8} + 43 x^{6} + 22 x^{4} + 7 x^{2} + 1$ |
$20$ |
[0,10] |
$2^{10}\cdot 3^{4}\cdot 11119^{4}$ |
$3$ |
$11.3540916318$ |
$669.9227623971964$ |
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$9$ |
$117.777592282$ |
| 20.0.228...304.1 |
$x^{20} + 2 x^{18} - 3 x^{16} - 9 x^{14} - 2 x^{12} + 13 x^{10} + 16 x^{8} + x^{6} - 7 x^{4} + 1$ |
$20$ |
[0,10] |
$2^{10}\cdot 7^{4}\cdot 5519^{4}$ |
$3$ |
$11.692481317282786$ |
$720.9588194674839$ |
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$9$ |
$175.20160463169768$ |
| 20.0.238...224.1 |
$x^{20} + 5 x^{18} + 12 x^{16} + 19 x^{14} + 28 x^{12} + 50 x^{10} + 70 x^{8} + 62 x^{6} + 32 x^{4} + 9 x^{2} + 1$ |
$20$ |
[0,10] |
$2^{10}\cdot 17^{4}\cdot 2297^{4}$ |
$3$ |
$11.7175544726$ |
$724.830066917672$ |
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$9$ |
$176.861949817$ |
| 20.0.843...984.1 |
$x^{20} - 2 x^{19} + 2 x^{18} + 4 x^{17} - 21 x^{16} + 44 x^{15} - 57 x^{14} + 36 x^{13} + 46 x^{12} - 220 x^{11} + 505 x^{10} - 860 x^{9} + 1168 x^{8} - 1278 x^{7} + 1123 x^{6} - 784 x^{5} + 427 x^{4} - 176 x^{3} + 52 x^{2} - 10 x + 1$ |
$20$ |
[0,10] |
$2^{20}\cdot 17^{2}\cdot 2297^{4}$ |
$3$ |
$12.4826584303$ |
$724.830066917672$ |
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$9$ |
$389.35585487$ |
| 20.4.293...400.1 |
$x^{20} - 2 x^{19} - 2 x^{18} + 8 x^{17} + 7 x^{16} - 32 x^{15} - x^{14} + 60 x^{13} + 3 x^{12} - 108 x^{11} + 14 x^{10} + 112 x^{9} - 4 x^{8} - 96 x^{7} - 21 x^{6} + 52 x^{5} + 26 x^{4} - 18 x^{3} - 22 x^{2} - 8 x - 1$ |
$20$ |
[4,8] |
$2^{20}\cdot 5^{2}\cdot 5783^{4}$ |
$3$ |
$13.2848799602$ |
$623.724552629587$ |
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$11$ |
$1357.71487099$ |
| 20.4.476...904.1 |
$x^{20} - 6 x^{19} + 17 x^{18} - 30 x^{17} + 26 x^{16} + 12 x^{15} - 58 x^{14} + 62 x^{13} - 20 x^{12} - 26 x^{11} + 43 x^{10} - 26 x^{9} - 20 x^{8} + 62 x^{7} - 58 x^{6} + 12 x^{5} + 26 x^{4} - 30 x^{3} + 17 x^{2} - 6 x + 1$ |
$20$ |
[4,8] |
$2^{20}\cdot 7^{2}\cdot 5519^{4}$ |
$3$ |
$13.6116846342$ |
|
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$11$ |
$1782.52498216$ |
| 20.4.688...736.1 |
$x^{20} - 6 x^{19} + 19 x^{18} - 51 x^{17} + 109 x^{16} - 167 x^{15} + 218 x^{14} - 255 x^{13} + 201 x^{12} - 84 x^{11} - 43 x^{10} + 137 x^{9} - 68 x^{8} + 32 x^{7} - 81 x^{6} + 17 x^{5} - x^{4} + 15 x^{3} + x^{2} + 6 x + 1$ |
$20$ |
[4,8] |
$2^{10}\cdot 17^{6}\cdot 2297^{4}$ |
$3$ |
$15.5554247146$ |
$724.830066917672$ |
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$11$ |
$7279.77991205$ |
| 20.4.732...000.1 |
$x^{20} - 2 x^{18} + 2 x^{16} - 4 x^{14} + 11 x^{12} - 14 x^{10} + 11 x^{8} - 6 x^{6} + 5 x^{4} - 4 x^{2} + 1$ |
$20$ |
[4,8] |
$2^{20}\cdot 5^{4}\cdot 5783^{4}$ |
$3$ |
$15.604671658$ |
|
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$11$ |
$7435.77366896$ |
| 20.4.732...000.2 |
$x^{20} - 2 x^{18} + 2 x^{16} - 2 x^{14} + x^{12} + 7 x^{10} - 13 x^{8} + 2 x^{6} + 8 x^{4} - 6 x^{2} + 1$ |
$20$ |
[4,8] |
$2^{20}\cdot 5^{4}\cdot 5783^{4}$ |
$3$ |
$15.604671658$ |
|
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$11$ |
$7810.0271842$ |
| 20.4.732...000.3 |
$x^{20} - 4 x^{18} + 5 x^{16} - x^{14} + 2 x^{12} - 13 x^{10} + 16 x^{8} - 9 x^{6} + 5 x^{4} - 4 x^{2} + 1$ |
$20$ |
[4,8] |
$2^{20}\cdot 5^{4}\cdot 5783^{4}$ |
$3$ |
$15.604671657957514$ |
|
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$11$ |
$7477.010755907707$ |
| 20.0.186...656.3 |
$x^{20} + x^{18} + 6 x^{16} + 18 x^{14} + 26 x^{12} + 32 x^{10} + 20 x^{8} + x^{6} - 2 x^{4} - x^{2} + 1$ |
$20$ |
[0,10] |
$2^{20}\cdot 36497^{4}$ |
$2$ |
$16.348632414$ |
$700.7447063519189$ |
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$9$ |
$5231.78385473$ |
| 20.0.186...656.4 |
$x^{20} + 4 x^{18} + 12 x^{16} + 35 x^{14} + 63 x^{12} + 64 x^{10} + 42 x^{8} + 26 x^{6} + 16 x^{4} + 5 x^{2} + 1$ |
$20$ |
[0,10] |
$2^{20}\cdot 36497^{4}$ |
$2$ |
$16.348632414$ |
$700.7447063519189$ |
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$9$ |
$5191.58204619$ |
| 20.4.186...656.4 |
$x^{20} - 4 x^{18} + 12 x^{16} - 35 x^{14} + 63 x^{12} - 64 x^{10} + 42 x^{8} - 26 x^{6} + 16 x^{4} - 5 x^{2} + 1$ |
$20$ |
[4,8] |
$2^{20}\cdot 36497^{4}$ |
$2$ |
$16.348632414$ |
$731.7693250181059$ |
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$11$ |
$12179.8532642$ |
| 20.4.186...656.5 |
$x^{20} - 2 x^{18} + 4 x^{16} - 13 x^{14} + 29 x^{12} - 2 x^{10} + 18 x^{8} - 18 x^{6} + 10 x^{4} - 5 x^{2} + 1$ |
$20$ |
[4,8] |
$2^{20}\cdot 36497^{4}$ |
$2$ |
$16.348632414$ |
|
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$11$ |
$12447.5131002$ |
| 20.8.206...544.1 |
$x^{20} - 5 x^{18} + 4 x^{16} + 14 x^{14} - 33 x^{12} - 3 x^{10} + 65 x^{8} - 14 x^{6} - 43 x^{4} + 4 x^{2} + 1$ |
$20$ |
[8,6] |
$2^{10}\cdot 3^{4}\cdot 17^{4}\cdot 4153^{4}$ |
$4$ |
$16.432415938$ |
$1688.0966012168024$ |
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$13$ |
$30273.1886548$ |
| 20.4.206...544.1 |
$x^{20} + 8 x^{18} + 28 x^{16} + 64 x^{14} + 111 x^{12} + 138 x^{10} + 112 x^{8} + 40 x^{6} - 20 x^{4} - 16 x^{2} + 1$ |
$20$ |
[4,8] |
$2^{10}\cdot 3^{4}\cdot 17^{4}\cdot 4153^{4}$ |
$4$ |
$16.432415938$ |
$1688.0966012168024$ |
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$11$ |
$13919.6546806$ |
| 20.4.206...544.2 |
$x^{20} - 15 x^{16} - 12 x^{14} + 33 x^{12} + 64 x^{10} + 88 x^{8} + 94 x^{6} + 51 x^{4} + 12 x^{2} + 1$ |
$20$ |
[4,8] |
$2^{10}\cdot 3^{4}\cdot 17^{4}\cdot 4153^{4}$ |
$4$ |
$16.432415938$ |
$1688.0966012168024$ |
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$11$ |
$11714.6441002$ |
| 20.4.243...376.2 |
$x^{20} - 5 x^{18} + 9 x^{16} - 12 x^{14} + 27 x^{12} - 49 x^{10} + 54 x^{8} - 41 x^{6} + 22 x^{4} - 8 x^{2} + 1$ |
$20$ |
[4,8] |
$2^{20}\cdot 17^{4}\cdot 2297^{4}$ |
$3$ |
$16.571124453$ |
|
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$11$ |
$14424.7559891$ |
| 20.4.290...176.1 |
$x^{20} - 5 x^{18} + 17 x^{16} - 34 x^{14} + 33 x^{12} - 32 x^{10} + 26 x^{8} + 8 x^{6} - 4 x^{4} + 1$ |
$20$ |
[4,8] |
$2^{16}\cdot 83^{4}\cdot 983^{4}$ |
$3$ |
$16.71669114484734$ |
|
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$11$ |
$18092.987392877607$ |
| 20.0.290...176.1 |
$x^{20} - 3 x^{18} - x^{16} + 6 x^{14} + 17 x^{12} + 54 x^{10} + 47 x^{8} + 16 x^{6} + 14 x^{4} + 5 x^{2} + 1$ |
$20$ |
[0,10] |
$2^{16}\cdot 83^{4}\cdot 983^{4}$ |
$3$ |
$16.71669114484734$ |
|
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$9$ |
$7924.654638121543$ |
| 20.0.290...176.2 |
$x^{20} + 10 x^{18} + 44 x^{16} + 112 x^{14} + 182 x^{12} + 197 x^{10} + 145 x^{8} + 74 x^{6} + 26 x^{4} + 5 x^{2} + 1$ |
$20$ |
[0,10] |
$2^{16}\cdot 83^{4}\cdot 983^{4}$ |
$3$ |
$16.71669114484734$ |
|
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$9$ |
$7725.503739799632$ |
| 20.4.290...176.2 |
$x^{20} - 5 x^{18} + 20 x^{16} - 71 x^{14} + 159 x^{12} - 218 x^{10} + 206 x^{8} - 164 x^{6} + 117 x^{4} - 60 x^{2} + 16$ |
$20$ |
[4,8] |
$2^{16}\cdot 83^{4}\cdot 983^{4}$ |
$3$ |
$16.71669114484734$ |
|
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$11$ |
$18482.33582040631$ |
| 20.8.408...344.1 |
$x^{20} - 5 x^{18} - 2 x^{17} + 21 x^{16} - 42 x^{14} - 30 x^{13} + 10 x^{12} + 40 x^{11} + 30 x^{10} + 66 x^{9} + 33 x^{8} - 58 x^{7} - 27 x^{6} + 2 x^{5} + 9 x^{4} + 16 x^{3} + 2 x^{2} - 4 x - 1$ |
$20$ |
[8,6] |
$2^{20}\cdot 13^{4}\cdot 97^{2}\cdot 347^{4}$ |
$4$ |
$17.0044165248$ |
|
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$13$ |
$40383.3370327$ |
| 20.8.185...896.1 |
$x^{20} - 5 x^{19} + 8 x^{18} - 10 x^{17} + 16 x^{16} - 4 x^{15} - x^{14} + x^{13} - 28 x^{12} + 24 x^{11} - 32 x^{10} + 15 x^{9} + 27 x^{8} - 10 x^{7} - 17 x^{6} - 38 x^{5} + 33 x^{4} + 19 x^{3} - 16 x^{2} - x + 1$ |
$20$ |
[8,6] |
$2^{10}\cdot 3^{6}\cdot 17^{4}\cdot 4153^{4}$ |
$4$ |
$18.3406002338$ |
$2221.6600682148605$ |
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$13$ |
$96380.8387012$ |
| 20.4.185...896.1 |
$x^{20} - 5 x^{19} + 8 x^{18} - 17 x^{16} + 6 x^{15} + 40 x^{14} - 16 x^{13} - 68 x^{12} + 55 x^{11} + 76 x^{10} - 62 x^{9} - 97 x^{8} + 16 x^{7} + 42 x^{6} - 2 x^{5} + 3 x^{4} + 31 x^{3} + 26 x^{2} + 9 x + 1$ |
$20$ |
[4,8] |
$2^{10}\cdot 3^{6}\cdot 17^{4}\cdot 4153^{4}$ |
$4$ |
$18.3406002338$ |
$2221.6600682148605$ |
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$11$ |
$45262.2620582$ |
| 20.8.300...600.1 |
$x^{20} - 4 x^{19} + 6 x^{18} - 8 x^{17} + 7 x^{16} - 20 x^{15} + 64 x^{14} - 60 x^{13} - 52 x^{12} + 426 x^{11} - 888 x^{10} + 1038 x^{9} - 635 x^{8} - 364 x^{7} + 1192 x^{6} - 1406 x^{5} + 1055 x^{4} - 498 x^{3} + 142 x^{2} - 22 x + 1$ |
$20$ |
[8,6] |
$2^{30}\cdot 5^{2}\cdot 5783^{4}$ |
$3$ |
$18.7876574143$ |
|
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$13$ |
$115998.194201$ |
| 20.0.626...696.1 |
$x^{20} + 7 x^{18} + 15 x^{16} + x^{14} - 34 x^{12} - 31 x^{10} + 18 x^{8} + 46 x^{6} + 33 x^{4} + 10 x^{2} + 1$ |
$20$ |
[0,10] |
$2^{20}\cdot 7^{4}\cdot 137^{4}\cdot 163^{4}$ |
$4$ |
$21.8691164919$ |
|
|
|
✓ |
$C_2^9.C_2^4:S_5$ (as 20T964) |
$[2]$ |
$2$ |
$9$ |
$40880.086692$ |
| 20.12.626...696.2 |
$x^{20} - 7 x^{18} + 15 x^{16} - x^{14} - 34 x^{12} + 31 x^{10} + 18 x^{8} - 46 x^{6} + 33 x^{4} - 10 x^{2} + 1$ |
$20$ |
[12,4] |
$2^{20}\cdot 7^{4}\cdot 137^{4}\cdot 163^{4}$ |
$4$ |
$21.8691164919$ |
|
|
|
✓ |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$15$ |
$1259029.38413$ |
| 20.8.743...056.1 |
$x^{20} - 5 x^{18} - 24 x^{16} + 51 x^{14} + 215 x^{12} - 32 x^{10} - 632 x^{8} - 614 x^{6} - 119 x^{4} + 41 x^{2} + 1$ |
$20$ |
[8,6] |
$2^{24}\cdot 83^{4}\cdot 983^{4}$ |
$3$ |
$22.0578062076$ |
|
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$13$ |
$597115.741167$ |
| 20.8.743...056.2 |
$x^{20} - 5 x^{19} - x^{18} + 23 x^{17} - 9 x^{16} - 12 x^{15} - 36 x^{13} + 8 x^{12} + 30 x^{11} - 14 x^{10} + 30 x^{9} + 8 x^{8} - 36 x^{7} - 12 x^{5} - 9 x^{4} + 23 x^{3} - x^{2} - 5 x + 1$ |
$20$ |
[8,6] |
$2^{24}\cdot 83^{4}\cdot 983^{4}$ |
$3$ |
$22.0578062076$ |
|
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$13$ |
$582109.896536$ |
| 20.12.743...056.3 |
$x^{20} - 5 x^{18} - 14 x^{16} + 97 x^{14} - 84 x^{12} - 147 x^{10} + 168 x^{8} + 37 x^{6} - 46 x^{4} - 9 x^{2} + 1$ |
$20$ |
[12,4] |
$2^{24}\cdot 83^{4}\cdot 983^{4}$ |
$3$ |
$22.0578062076$ |
|
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$15$ |
$1392627.71135$ |
| 20.12.743...056.4 |
$x^{20} - 5 x^{19} + 5 x^{18} + 11 x^{17} - 23 x^{16} + 30 x^{15} - 122 x^{14} + 264 x^{13} - 230 x^{12} - 56 x^{11} + 516 x^{10} - 688 x^{9} - x^{8} + 653 x^{7} - 279 x^{6} - 193 x^{5} + 128 x^{4} + 9 x^{3} - 23 x^{2} + x + 1$ |
$20$ |
[12,4] |
$2^{24}\cdot 83^{4}\cdot 983^{4}$ |
$3$ |
$22.0578062076$ |
|
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$15$ |
$1363290.65055$ |
| 20.4.248...296.1 |
$x^{20} + 3 x^{18} - 7 x^{14} - 21 x^{12} - 13 x^{10} + 60 x^{8} + 16 x^{6} - 62 x^{4} + 21 x^{2} + 1$ |
$20$ |
[4,8] |
$2^{20}\cdot 149^{4}\cdot 1481^{4}$ |
$3$ |
$23.4303222135$ |
|
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$11$ |
$560266.865448$ |
| 20.12.248...296.1 |
$x^{20} - 5 x^{18} - 2 x^{16} + 25 x^{14} + x^{12} - 59 x^{10} + 78 x^{8} - 66 x^{6} + 38 x^{4} - 11 x^{2} + 1$ |
$20$ |
[12,4] |
$2^{20}\cdot 149^{4}\cdot 1481^{4}$ |
$3$ |
$23.4303222135$ |
|
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$15$ |
$3140647.22957$ |
| 20.0.248...296.1 |
$x^{20} + 5 x^{18} - 2 x^{16} - 25 x^{14} + x^{12} + 59 x^{10} + 78 x^{8} + 66 x^{6} + 38 x^{4} + 11 x^{2} + 1$ |
$20$ |
[0,10] |
$2^{20}\cdot 149^{4}\cdot 1481^{4}$ |
$3$ |
$23.4303222135$ |
|
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$9$ |
$207297.033895$ |
| 20.8.248...296.1 |
$x^{20} - 4 x^{18} - 4 x^{16} + 29 x^{14} - 10 x^{12} - 49 x^{10} + 28 x^{8} + 20 x^{4} - 13 x^{2} + 1$ |
$20$ |
[8,6] |
$2^{20}\cdot 149^{4}\cdot 1481^{4}$ |
$3$ |
$23.4303222135$ |
|
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$13$ |
$1415520.00493$ |
| 20.8.248...296.2 |
$x^{20} - 11 x^{18} + 50 x^{16} - 129 x^{14} + 206 x^{12} - 180 x^{10} + 55 x^{8} + 23 x^{6} - 17 x^{4} + 1$ |
$20$ |
[8,6] |
$2^{20}\cdot 149^{4}\cdot 1481^{4}$ |
$3$ |
$23.4303222135$ |
|
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$13$ |
$1370386.35379$ |
| 20.12.267...416.1 |
$x^{20} - 5 x^{18} - 4 x^{16} + 31 x^{14} + 21 x^{12} - 153 x^{10} + 183 x^{8} - 124 x^{6} + 58 x^{4} - 13 x^{2} + 1$ |
$20$ |
[12,4] |
$2^{20}\cdot 53^{4}\cdot 4241^{4}$ |
$3$ |
$23.5168324018$ |
|
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$15$ |
$3180820.34105$ |
| 20.0.267...416.1 |
$x^{20} + 5 x^{18} - 4 x^{16} - 31 x^{14} + 21 x^{12} + 153 x^{10} + 183 x^{8} + 124 x^{6} + 58 x^{4} + 13 x^{2} + 1$ |
$20$ |
[0,10] |
$2^{20}\cdot 53^{4}\cdot 4241^{4}$ |
$3$ |
$23.5168324018$ |
|
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$9$ |
$231096.151781$ |
| 20.12.130...096.1 |
$x^{20} - 14 x^{18} + 55 x^{16} - 46 x^{14} + 61 x^{12} - 754 x^{10} + 1706 x^{8} - 2982 x^{6} + 3168 x^{4} - 1036 x^{2} + 49$ |
$20$ |
[12,4] |
$2^{30}\cdot 7^{2}\cdot 137^{4}\cdot 163^{4}$ |
$4$ |
$25.4587122134$ |
|
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$15$ |
$8947450.0045$ |
| 20.0.130...096.1 |
$x^{20} + 14 x^{18} + 55 x^{16} + 46 x^{14} + 61 x^{12} + 754 x^{10} + 1706 x^{8} + 2982 x^{6} + 3168 x^{4} + 1036 x^{2} + 49$ |
$20$ |
[0,10] |
$2^{30}\cdot 7^{2}\cdot 137^{4}\cdot 163^{4}$ |
$4$ |
$25.4587122134$ |
|
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
$[2]$ |
$2$ |
$9$ |
$290519.456073$ |
| 20.8.189...504.1 |
$x^{20} - 2 x^{19} - 9 x^{18} + 52 x^{17} - 136 x^{16} + 174 x^{15} + x^{14} - 466 x^{13} + 1138 x^{12} - 1746 x^{11} + 2176 x^{10} - 2446 x^{9} + 2470 x^{8} - 1998 x^{7} + 878 x^{6} + 286 x^{5} - 634 x^{4} + 262 x^{3} - 83 x^{2} + 4 x + 1$ |
$20$ |
[8,6] |
$2^{20}\cdot 3^{6}\cdot 17^{4}\cdot 4153^{4}$ |
$4$ |
$25.9375255927$ |
$2221.6600682148605$ |
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$13$ |
$5132933.48869$ |
| 20.12.190...336.3 |
$x^{20} + 5 x^{18} - 26 x^{16} - 47 x^{14} + 251 x^{12} - 70 x^{10} - 640 x^{8} + 874 x^{6} - 397 x^{4} + 49 x^{2} + 1$ |
$20$ |
[12,4] |
$2^{32}\cdot 83^{4}\cdot 983^{4}$ |
$3$ |
$29.1054497852$ |
|
|
|
|
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$15$ |
$37612843.2231$ |
| 20.16.190...336.3 |
$x^{20} - 15 x^{18} + 82 x^{16} - 203 x^{14} + 190 x^{12} + 101 x^{10} - 310 x^{8} + 127 x^{6} + 72 x^{4} - 45 x^{2} + 1$ |
$20$ |
[16,2] |
$2^{32}\cdot 83^{4}\cdot 983^{4}$ |
$3$ |
$29.1054497852$ |
|
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$17$ |
$55028538.9649$ |
| 20.4.190...336.3 |
$x^{20} + 9 x^{18} + 24 x^{16} - 3 x^{14} - 105 x^{12} - 128 x^{10} + 30 x^{8} + 134 x^{6} + 75 x^{4} + 15 x^{2} + 1$ |
$20$ |
[4,8] |
$2^{32}\cdot 83^{4}\cdot 983^{4}$ |
$3$ |
$29.1054497852$ |
|
|
|
|
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$11$ |
$6700628.13724$ |
| 20.8.190...336.3 |
$x^{20} - x^{18} - 31 x^{16} - 36 x^{14} + 97 x^{12} + 131 x^{10} - 51 x^{8} - 120 x^{6} - 43 x^{4} - x^{2} + 1$ |
$20$ |
[8,6] |
$2^{32}\cdot 83^{4}\cdot 983^{4}$ |
$3$ |
$29.1054497852$ |
|
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$13$ |
$10262558.9991$ |
| 20.12.190...336.4 |
$x^{20} + 5 x^{18} - 14 x^{16} - 79 x^{14} + 63 x^{12} + 342 x^{10} - 156 x^{8} - 250 x^{6} + 167 x^{4} - 27 x^{2} + 1$ |
$20$ |
[12,4] |
$2^{32}\cdot 83^{4}\cdot 983^{4}$ |
$3$ |
$29.1054497852$ |
|
|
|
? |
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$15$ |
$23874242.4608$ |
| 20.16.190...336.4 |
$x^{20} - 5 x^{18} - 10 x^{16} + 83 x^{14} - 71 x^{12} - 242 x^{10} + 544 x^{8} - 426 x^{6} + 147 x^{4} - 21 x^{2} + 1$ |
$20$ |
[16,2] |
$2^{32}\cdot 83^{4}\cdot 983^{4}$ |
$3$ |
$29.1054497852$ |
|
|
|
|
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$17$ |
$84439608.1386$ |
| 20.4.190...336.4 |
$x^{20} + 5 x^{18} - 16 x^{16} - 109 x^{14} - 51 x^{12} + 506 x^{10} + 1024 x^{8} + 790 x^{6} + 271 x^{4} + 37 x^{2} + 1$ |
$20$ |
[4,8] |
$2^{32}\cdot 83^{4}\cdot 983^{4}$ |
$3$ |
$29.1054497852$ |
|
|
|
|
$C_2^9.C_2^4:S_5$ (as 20T964) |
trivial |
$2$ |
$11$ |
$5892587.38044$ |
