| 20.2.1816889967552059474944.1 |
x20 - 6x16 + 11x12 + 3x10 - 17x8 + 6x6 + 2x2 - 1 |
\( -\,2^{10}\cdot 36497^{4} \) |
20T992 |
Trivial
|
| 20.2.2265966431812150395904.1 |
x20 + x18 - 4x16 - 7x14 - x12 + 21x10 + 3x8 - 13x6 - 4x4 + 3x2 - 1 |
\( -\,2^{10}\cdot 38569^{4} \) |
20T992 |
Trivial
|
| 20.2.2948433986992424882176.1 |
x20 + 3x18 + 4x16 + x14 - 3x12 - 6x10 - 9x8 - 13x6 - 12x4 - 6x2 - 1 |
\( -\,2^{12}\cdot 41^{2}\cdot 4549^{4} \) |
20T1015 |
Trivial
|
| 20.2.4078772064323626845184.1 |
x20 - x18 - 2x16 + 3x14 - 3x12 + x10 + 5x8 - 5x6 + 3x2 - 1 |
\( -\,2^{10}\cdot 47^{8}\cdot 409^{2} \) |
20T905 |
Trivial
|
| 20.2.4519908793361499099136.1 |
x20 + x18 - 2x16 - x14 + x12 + x10 - 7x8 + 10x6 - 4x4 + 2x2 - 1 |
\( -\,2^{12}\cdot 32411^{4} \) |
20T992 |
Trivial
|
| 20.2.7555362091668088760576.1 |
x20 - 5x19 + 8x18 + x17 - 19x16 + 14x15 + 41x14 - 98x13 + 67x12 + 34x11 - 74x10 - 22x9 + 160x8 - 198x7 + 131x6 - 45x5 + 5x4 - x3 + x2 - x - 1 |
\( -\,2^{8}\cdot 41^{3}\cdot 4549^{4} \) |
20T1015 |
Trivial
|
| 20.2.8085321984821794902016.1 |
x20 - 2x18 + x16 - x14 - 2x12 + 4x10 + x6 + 2x4 - 2x2 - 1 |
\( -\,2^{12}\cdot 37483^{4} \) |
20T992 |
Trivial
(GRH)
|
| 20.2.11410125096185151906816.1 |
x20 - x16 - 8x12 + 13x8 + 3x4 - 9 |
\( -\,2^{10}\cdot 3^{6}\cdot 11119^{4} \) |
20T807 |
Trivial
(GRH)
|
| 20.2.11900726940981550744576.1 |
x20 - 7x18 + 28x16 - 70x14 + 112x12 - 118x10 + 80x8 - 29x6 + 2x4 + 3x2 - 1 |
\( -\,2^{10}\cdot 7^{8}\cdot 17^{10} \) |
$D_4\times D_5$ (as 20T21) |
Trivial
|
| 20.2.13934496372519102386176.1 |
x20 - 9x18 + 37x16 - 91x14 + 148x12 - 166x10 + 129x8 - 65x6 + 15x4 + 3x2 - 1 |
\( -\,2^{12}\cdot 67^{4}\cdot 641^{4} \) |
20T1106 |
Trivial
(GRH)
|
| 20.2.13934496372519102386176.2 |
x20 - 2x18 - 2x16 + 8x14 + 3x12 - 12x10 - 2x8 + 9x6 + 2x4 - 3x2 - 1 |
\( -\,2^{12}\cdot 67^{4}\cdot 641^{4} \) |
20T1106 |
Trivial
(GRH)
|
| 20.2.17895043229790736000000.1 |
x20 - 2x19 + 5x17 - 5x16 - 9x15 + 8x14 + 11x13 - 31x12 - 15x11 + 58x10 - 6x9 - 38x8 + 34x7 - 14x6 - 36x5 + 9x4 - 7x3 - 8x2 + 3x - 1 |
\( -\,2^{10}\cdot 5^{6}\cdot 5783^{4} \) |
20T807 |
Trivial
|
| 20.2.23656760935840835814400.1 |
x20 + 5x18 + 12x16 + 18x14 + 19x12 + 15x10 + 9x8 + 4x6 + x4 - 1 |
\( -\,2^{10}\cdot 5^{2}\cdot 47^{8}\cdot 197^{2} \) |
20T905 |
Trivial
(GRH)
|
| 20.2.26332894319002837533243.1 |
x20 - x19 + 5x18 - 6x17 + 14x16 - 20x15 + 21x14 - 38x13 + 34x12 - 41x11 + 64x10 - 51x9 + 16x8 - 51x7 + 48x6 - 5x5 + 7x4 - 14x3 + 2x2 - x - 1 |
\( -\,3^{5}\cdot 1609^{4}\cdot 4021^{2} \) |
20T886 |
Trivial
(GRH)
|
| 20.2.30774019386159912109375.1 |
x20 - 7x19 + 26x18 - 68x17 + 133x16 - 195x15 + 204x14 - 106x13 - 115x12 + 413x11 - 699x10 + 881x9 - 917x8 + 819x7 - 636x6 + 430x5 - 248x4 + 118x3 - 43x2 + 11x - 1 |
\( -\,5^{12}\cdot 199^{2}\cdot 1471^{3} \) |
20T1045 |
Trivial
(GRH)
|
| 20.2.42686966776427487214592.1 |
x20 - 4x19 + 2x18 + 19x17 - 38x16 - 3x15 + 94x14 - 109x13 - 26x12 + 181x11 - 166x10 - 10x9 + 172x8 - 191x7 + 67x6 + 92x5 - 154x4 + 107x3 - 41x2 + 9x - 1 |
\( -\,2^{10}\cdot 47^{9}\cdot 193^{2} \) |
20T848 |
Trivial
(GRH)
|
| 20.2.42686966776427487214592.2 |
x20 + 4x18 + 8x16 + 15x14 + 10x12 - 45x10 - 131x8 - 184x6 - 191x4 - 141x2 - 47 |
\( -\,2^{10}\cdot 47^{9}\cdot 193^{2} \) |
20T848 |
Trivial
(GRH)
|
| 20.2.44283824745892362441775.1 |
x20 - 3x19 + 2x18 - 2x17 + 9x16 - 4x15 - 7x14 - 8x13 + 12x12 + 9x11 + 2x10 - 6x9 - 17x8 - 8x7 + 13x6 + 20x5 + x4 - 10x3 - 4x2 + 1 |
\( -\,5^{2}\cdot 37^{2}\cdot 2239\cdot 4903^{4} \) |
20T1015 |
Trivial
(GRH)
|
| 20.2.45236940414786731232256.1 |
x20 - 6x19 + 15x18 - 24x17 + 42x16 - 84x15 + 132x14 - 140x13 + 82x12 + 36x11 - 198x10 + 312x9 - 230x8 - 16x7 + 157x6 - 72x5 - 58x4 + 82x3 - 41x2 + 10x - 1 |
\( -\,2^{10}\cdot 17^{4}\cdot 19\cdot 2297^{4} \) |
20T992 |
Trivial
(GRH)
|
| 20.2.53112053233392982274207.1 |
x20 - x19 + x18 + 2x17 + 3x16 - 7x15 + 10x14 - 6x13 - 3x12 - x11 - 21x10 - 2x9 - 8x8 - 32x7 + 5x6 - 12x5 - 12x4 + 3x3 - 3x2 - x + 1 |
\( -\,47^{9}\cdot 83^{4} \) |
$C_2\times C_2^4:D_5$ (as 20T87) |
Trivial
|
| 20.2.53112053233392982274207.2 |
x20 - x19 - x18 - 2x17 + 2x16 - 2x15 + 8x14 - 11x13 + 2x12 + 2x11 - 9x10 + 17x9 - x8 - 28x7 + 49x6 - 46x5 + 31x4 - 20x3 + 12x2 - 5x + 1 |
\( -\,47^{9}\cdot 83^{4} \) |
$C_2\times C_2^4:D_5$ (as 20T87) |
Trivial
|
| 20.2.57560993687222192692051.1 |
x20 - 5x19 + 16x18 - 32x17 + 47x16 - 40x15 + 10x14 + 52x13 - 98x12 + 140x11 - 116x10 + 88x9 - 17x8 - 13x7 + 40x6 - 19x5 + 6x4 + 8x3 - 3x2 + x + 1 |
\( -\,107^{2}\cdot 5419\cdot 5519^{4} \) |
20T1015 |
Trivial
|
| 20.2.61453477994727278116864.1 |
x20 + 3x18 + x16 - 17x14 - 36x12 - 27x10 + 2x8 + 6x6 + x2 - 1 |
\( -\,2^{26}\cdot 5501^{4} \) |
20T992 |
Trivial
(GRH)
|
| 20.2.62703695411604830748672.1 |
x20 - 2x19 + 5x17 - x16 - 6x15 - 8x14 + 22x13 + 4x12 - 32x11 + 16x10 + 10x9 + 3x8 - 30x7 + 22x6 + 5x5 - 12x4 + 4x3 - 2x2 + 3x - 1 |
\( -\,2^{16}\cdot 3^{5}\cdot 13^{14} \) |
$C_2^2:F_5$ (as 20T22) |
Trivial
|
| 20.2.101783918515684285613056.1 |
x20 + 3x18 + 6x16 + x14 - 18x12 - 24x10 + 32x8 + 4x6 - 14x4 + 5x2 - 1 |
\( -\,2^{10}\cdot 17^{2}\cdot 61^{4}\cdot 397^{4} \) |
20T1015 |
Trivial
(GRH)
|
| 20.2.121260259409849938345984.1 |
x20 - 5x18 + 17x16 - 30x14 + 21x12 + 21x10 - 57x8 + 50x6 - 21x4 + 3x2 - 1 |
\( -\,2^{28}\cdot 277^{6} \) |
20T365 |
Trivial
|
| 20.2.121260259409849938345984.2 |
x20 + 5x18 + 17x16 + 30x14 + 21x12 - 21x10 - 57x8 - 50x6 - 21x4 - 3x2 - 1 |
\( -\,2^{28}\cdot 277^{6} \) |
20T365 |
Trivial
|
| 20.2.121260259409849938345984.3 |
x20 - 4x18 + 11x16 - 12x14 + 6x12 + 16x10 - 18x8 + 20x6 + x4 - 4x2 - 1 |
\( -\,2^{28}\cdot 277^{6} \) |
20T792 |
Trivial
(GRH)
|
| 20.2.128423465410486832559719.1 |
x20 - 6x19 + 18x18 - 38x17 + 55x16 - 43x15 + 19x14 - 50x13 + 174x12 - 323x11 + 285x10 + 66x9 - 384x8 + 188x7 + 331x6 - 570x5 + 395x4 - 139x3 + 18x2 + 3x - 1 |
\( -\,53^{4}\cdot 71^{3}\cdot 213247^{2} \) |
20T1110 |
Trivial
(GRH)
|
| 20.2.132745109443598544921875.1 |
x20 - 3x19 + x18 - x17 + 14x16 - 8x15 - 9x14 - 10x13 + 6x12 + 15x11 - 24x10 + 16x9 + 31x8 - 29x7 + 3x6 + 7x5 - 24x4 - 7x3 + 3x2 - 2x + 1 |
\( -\,5^{10}\cdot 7^{8}\cdot 11^{9} \) |
$C_{10}^2:C_2^2$ (as 20T106) |
Trivial
|
| 20.2.150406265394937853264896.1 |
x20 - 4x18 - 2x17 + 8x16 + 11x15 - 31x14 + 17x13 + 37x12 - 55x11 + 36x9 - 58x8 + 19x7 + 58x6 - 14x5 - 22x4 - x3 + x2 + x - 1 |
\( -\,2^{10}\cdot 2297^{6} \) |
20T792 |
Trivial
(GRH)
|
| 20.2.153870096930799560546875.1 |
x20 - 3x19 + 7x18 - 12x17 + 20x16 - 27x15 + 40x14 - 66x13 + 63x12 - 91x11 + 69x10 - 9x9 + 50x8 + 15x7 - 14x6 - 17x5 - 31x4 - 13x3 - 10x2 - 2x - 1 |
\( -\,5^{13}\cdot 199^{2}\cdot 1471^{3} \) |
20T1045 |
Trivial
(GRH)
|
| 20.2.164475020247040000000000.1 |
x20 - 6x19 + 12x18 - 36x16 + 44x15 + 17x14 - 60x13 + x12 + 28x11 + 86x10 - 122x9 - 84x8 + 232x7 - 72x6 - 128x5 + 100x4 + 12x3 - 28x2 + 4 |
\( -\,2^{28}\cdot 5^{10}\cdot 89^{4} \) |
20T1036 |
Trivial
|
| 20.2.169555245289201560361024.1 |
x20 - 4x19 + 9x18 - 10x17 + 5x16 + 5x15 - 11x14 + 14x13 - 8x12 - x11 + 8x10 - x9 - 8x8 + 14x7 - 11x6 + 5x5 + 5x4 - 10x3 + 9x2 - 4x + 1 |
\( -\,2^{6}\cdot 307^{4}\cdot 739^{4} \) |
20T1106 |
Trivial
(GRH)
|
| 20.2.198638542271690114596864.1 |
x20 - 2x16 - 2x12 - 2x10 + 2x8 + 2x4 - 1 |
\( -\,2^{42}\cdot 461^{4} \) |
20T466 |
Trivial
(GRH)
|
| 20.2.202312357996686362657792.1 |
x20 + 3x18 + 6x16 + x14 - 13x12 - 33x10 - 41x8 - 29x6 - 30x4 - 17x2 - 17 |
\( -\,2^{10}\cdot 7^{8}\cdot 17^{11} \) |
20T525 |
Trivial
(GRH)
|
| 20.2.226770366080175808449271.1 |
x20 - 2x19 + 6x18 - 12x17 + 16x16 - 14x15 + 4x14 + 20x13 - 41x12 + 32x11 + 17x10 - 58x9 + 32x8 + 20x7 - 22x6 - 14x5 + 22x4 + 2x3 - 15x2 + 8x - 1 |
\( -\,37^{3}\cdot 61\cdot 127\cdot 4903^{4} \) |
20T1015 |
Trivial
(GRH)
|
| 20.2.229772481637155475554304.1 |
x20 - 2x19 - 3x18 + 12x17 + 7x16 - 52x15 + 19x14 + 134x13 - 150x12 - 154x11 + 362x10 - 36x9 - 384x8 + 260x7 + 134x6 - 220x5 + 53x4 + 48x3 - 37x2 + 10x - 1 |
\( -\,2^{20}\cdot 503\cdot 617\cdot 840277^{2} \) |
20T1110 |
Trivial
(GRH)
|
| 20.2.264180002785783378345984.1 |
x20 + 6x18 + 13x16 + 7x14 - 21x12 - 41x10 - 38x8 - 35x6 - 14x4 + 7x2 - 1 |
\( -\,2^{26}\cdot 89^{8} \) |
20T965 |
Trivial
(GRH)
|
| 20.2.264180002785783378345984.2 |
x20 - 6x18 + 13x16 - 7x14 - 21x12 + 41x10 - 38x8 + 35x6 - 14x4 - 7x2 - 1 |
\( -\,2^{26}\cdot 89^{8} \) |
20T965 |
Trivial
(GRH)
|
| 20.2.322809648674379833984375.1 |
x20 - 2x19 + 4x18 - 15x17 + 28x16 - 32x15 + 57x14 - 95x13 + 89x12 - 90x11 + 119x10 - 92x9 + 57x8 - 60x7 + 36x6 + 4x5 - 2x4 + 2x3 - 10x2 + 5x + 1 |
\( -\,5^{11}\cdot 1459^{5} \) |
20T1023 |
Trivial
(GRH)
|
| 20.2.329806836013751534092288.1 |
x20 - x19 - 5x18 + 15x17 - 3x16 - 40x15 + 72x14 - 32x13 - 62x12 + 146x11 - 174x10 + 146x9 - 62x8 - 32x7 + 72x6 - 40x5 - 3x4 + 15x3 - 5x2 - x + 1 |
\( -\,2^{40}\cdot 17^{8}\cdot 43 \) |
20T968 |
Trivial
|
| 20.2.335390455497571113631744.1 |
x20 + 7x16 + 6x12 - 22x8 - 7x4 - 1 |
\( -\,2^{38}\cdot 1051^{4} \) |
20T691 |
Trivial
(GRH)
|
| 20.2.350003842200284486878208.1 |
x20 - 4x19 + 2x18 + 8x17 + 4x16 - 40x15 + 10x14 + 70x13 - 2x12 - 148x11 + 48x10 + 160x9 - 49x8 - 170x7 + 100x6 + 52x5 - 36x4 - 34x3 + 44x2 - 16x - 1 |
\( -\,2^{10}\cdot 17^{7}\cdot 97^{6} \) |
20T808 |
Trivial
(GRH)
|
| 20.2.350003842200284486878208.2 |
x20 - 5x19 + 9x18 - 8x17 + 14x16 - 49x15 + 82x14 - 63x13 + 54x12 - 108x11 + 64x10 + 143x9 - 223x8 + 43x7 + 103x6 - 57x5 - 10x4 + 7x3 + 2x2 + x - 1 |
\( -\,2^{10}\cdot 17^{7}\cdot 97^{6} \) |
20T808 |
Trivial
(GRH)
|
| 20.2.356324486234118630448099.1 |
x20 - 3x19 + 2x18 + 9x17 - 21x16 + 7x15 + 40x14 - 44x13 - 77x12 + 267x11 - 331x10 + 192x9 + 33x8 - 176x7 + 200x6 - 147x5 + 86x4 - 41x3 + 17x2 - 4x + 1 |
\( -\,11^{17}\cdot 89^{3} \) |
20T432 |
Trivial
|
| 20.2.357932753285354148069376.1 |
x20 - 4x18 - 12x17 - 7x16 + 16x15 + 48x14 + 40x13 - 26x12 - 124x11 - 168x10 - 124x9 - 26x8 + 40x7 + 48x6 + 16x5 - 7x4 - 12x3 - 4x2 + 1 |
\( -\,2^{20}\cdot 13^{10}\cdot 19^{5} \) |
20T989 |
Trivial
|
| 20.2.372703037695339609375744.1 |
x20 - 2x18 + 3x16 - 2x14 + 10x12 + 5x8 - 6x6 - x4 + 4x2 - 1 |
\( -\,2^{10}\cdot 11^{16}\cdot 89^{2} \) |
20T846 |
Trivial
(GRH)
|
| 20.2.397277084543380229193728.1 |
x20 - 10x18 + 43x16 - 104x14 + 152x12 - 126x10 + 32x8 + 44x6 - 47x4 + 16x2 - 2 |
\( -\,2^{43}\cdot 461^{4} \) |
20T466 |
Trivial
(GRH)
|
| 20.2.460866832666120591575707.1 |
x20 - 2x19 + x18 - 7x17 - 4x16 - 7x15 - 25x14 - 3x13 - 60x12 + 4x11 - 85x10 + 4x9 - 86x8 - 3x7 - 71x6 - 2x5 - 45x4 - 19x2 + x - 4 |
\( -\,19^{8}\cdot 83^{7} \) |
$C_2\times S_5$ (as 20T65) |
Trivial
|
