| 18.6.110730297608000000000.1 |
x18 - 5x17 + 5x16 + 10x15 - 19x14 + 7x13 - 18x12 + 34x11 + 21x10 - 70x9 + 22x8 + 14x7 + 11x6 - 7x5 - 20x4 + 13x3 - x2 + 4x - 1 |
\( 2^{12}\cdot 5^{9}\cdot 7^{12} \) |
$S_3 \times C_6$ (as 18T6) |
Trivial
|
| 18.6.131792047867311076441.1 |
x18 - 7x16 - 4x15 + 21x14 + 21x13 - 29x12 - 49x11 + 14x10 + 63x9 + 14x8 - 49x7 - 29x6 + 21x5 + 21x4 - 4x3 - 7x2 + 1 |
\( 7^{12}\cdot 97579^{2} \) |
18T703 |
Trivial
(GRH)
|
| 18.6.203534156411299994041.1 |
x18 - 5x17 + 2x16 + 29x15 - 41x14 - 77x13 + 166x12 + 107x11 - 338x10 - 67x9 + 383x8 + x7 - 234x6 + 4x5 + 96x4 - 10x3 - 23x2 + 4x + 1 |
\( 31^{6}\cdot 6121^{3} \) |
18T314 |
Trivial
|
| 18.6.209657417785715740672.1 |
x18 - 5x17 + 9x16 - 6x15 - 5x14 + 16x13 - 14x12 + 13x11 - 33x10 + 54x9 - 59x8 + 34x7 - 12x6 + 35x5 - 39x4 + 8x3 - 3x2 + 6x - 1 |
\( 2^{12}\cdot 13^{15} \) |
$S_3 \times C_6$ (as 18T6) |
Trivial
|
| 18.6.212093107812829398169.1 |
x18 - 2x17 + x16 - 5x15 + 4x14 + 2x13 + 4x12 + 5x11 - 10x10 + x9 - 10x8 + 5x7 + 4x6 + 2x5 + 4x4 - 5x3 + x2 - 2x + 1 |
\( 7^{12}\cdot 123787^{2} \) |
18T703 |
Trivial
(GRH)
|
| 18.6.262059590501480557297.1 |
x18 - 10x16 - 6x15 + 23x14 + 13x13 + 11x12 + 72x11 - 45x10 - 265x9 - 99x8 + 246x7 + 227x6 - 3x5 - 87x4 - 37x3 + 2x2 + 5x + 1 |
\( 23^{6}\cdot 12097^{3} \) |
18T314 |
Trivial
|
| 18.6.263750124729014300881.1 |
x18 - 4x16 - x15 + 6x14 + 5x13 - 6x12 - 10x11 + 3x10 + 11x9 + 3x8 - 10x7 - 6x6 + 5x5 + 6x4 - x3 - 4x2 + 1 |
\( 7^{12}\cdot 138041^{2} \) |
18T703 |
Trivial
(GRH)
|
| 18.6.270283659433679895481.1 |
x18 - 6x17 + 13x16 - 5x15 - 50x14 + 186x13 - 408x12 + 671x11 - 888x10 + 973x9 - 888x8 + 671x7 - 408x6 + 186x5 - 50x4 - 5x3 + 13x2 - 6x + 1 |
\( 37^{4}\cdot 229^{6} \) |
18T203 |
Trivial
|
| 18.6.306783288013169609929.1 |
x18 - x17 - 4x16 - 4x15 + x14 + 11x13 + 13x12 + 4x11 - 11x10 - 19x9 - 11x8 + 4x7 + 13x6 + 11x5 + x4 - 4x3 - 4x2 - x + 1 |
\( 7^{12}\cdot 53^{6} \) |
$C_3\times S_4$ (as 18T33) |
Trivial
|
| 18.6.347202338514706980361.1 |
x18 - x17 - 5x16 + 10x15 + 14x14 - 30x13 - 30x12 + 35x11 + 29x10 - 28x9 - 3x8 + 28x7 - 16x6 - 22x5 + 14x4 + 10x3 - 6x2 - 2x + 1 |
\( 7^{12}\cdot 251^{2}\cdot 631^{2} \) |
18T703 |
Trivial
|
| 18.6.357298468475369140625.1 |
x18 - 5x16 - 6x15 + 8x14 + 25x13 + 9x12 - 32x11 - 44x10 - 2x9 + 44x8 + 38x7 - 4x6 - 28x5 - 19x4 + 8x2 + 5x + 1 |
\( 5^{9}\cdot 71\cdot 941\cdot 1399^{3} \) |
18T951 |
Trivial
|
| 18.6.378999434518066388917.1 |
x18 - 3x17 + 2x16 - 5x15 + 4x14 + 29x13 - 5x12 - 83x11 + 7x10 + 105x9 + 7x8 - 83x7 - 5x6 + 29x5 + 4x4 - 5x3 + 2x2 - 3x + 1 |
\( 11^{4}\cdot 37^{5}\cdot 139^{4} \) |
18T966 |
Trivial
|
| 18.6.382755853108052250624.1 |
x18 - 4x17 + 5x16 - x15 - 7x14 + 19x13 - 23x12 + 27x11 - 15x10 - 40x9 + 42x8 + 3x7 + 15x6 - 23x5 - 11x4 + 20x3 - 7x2 - x + 1 |
\( 2^{12}\cdot 3^{9}\cdot 7^{15} \) |
$S_3 \times C_6$ (as 18T6) |
Trivial
|
| 18.6.390877006486250192896.1 |
x18 + 2x16 - 15x12 - 10x10 + 27x8 - 21x4 + 9x2 - 1 |
\( 2^{24}\cdot 13^{12} \) |
$C_3\times S_4$ (as 18T33) |
Trivial
|
| 18.6.397461902755541307649.1 |
x18 - 2x17 - 3x16 + 11x15 - 9x14 - 7x13 + 22x12 - 14x11 - 11x10 + 25x9 - 11x8 - 14x7 + 22x6 - 7x5 - 9x4 + 11x3 - 3x2 - 2x + 1 |
\( 7^{12}\cdot 169457^{2} \) |
18T703 |
Trivial
(GRH)
|
| 18.6.399097135460205078125.1 |
x18 - x17 - 6x16 + 9x15 + 11x14 - 29x13 - 2x12 + 66x11 - 31x10 - 123x9 + 77x8 + 156x7 - 78x6 - 117x5 + 29x4 + 41x3 - 3x - 1 |
\( 5^{13}\cdot 83^{6} \) |
$C_2\times C_3^2:S_3$ (as 18T52) |
Trivial
|
| 18.6.424493288077110573961.1 |
x18 - 9x17 + 34x16 - 68x15 + 69x14 - 7x13 - 75x12 + 99x11 - 53x10 + x9 + 17x8 - 25x7 + 29x6 - 11x5 - 6x4 + 4x3 - x2 + x - 1 |
\( 601\cdot 2293^{2}\cdot 366517^{2} \) |
18T968 |
Trivial
|
| 18.6.431338652085594133521.1 |
x18 - 4x17 + 7x16 - 13x15 + 16x14 + x13 - 15x12 + 21x11 - 65x10 + 69x9 - 10x8 - 12x7 + 29x6 - 61x5 + 42x4 + 3x3 - 16x2 + 7x - 1 |
\( 3^{4}\cdot 2307632671^{2} \) |
18T964 |
Trivial
|
| 18.6.473940000439726887449.1 |
x18 - 3x17 - 2x16 + 18x15 - 7x14 - 48x13 + 40x12 + 87x11 - 88x10 - 109x9 + 121x8 + 111x7 - 96x6 - 83x5 + 31x4 + 24x3 - 11x2 - 8x - 1 |
\( 89\cdot 2307632671^{2} \) |
18T968 |
Trivial
|
| 18.6.495204047928875390625.1 |
x18 - 2x17 - 3x16 + 14x15 - 14x14 - 19x13 + 65x12 - 50x11 - 57x10 + 142x9 - 69x8 - 85x7 + 129x6 - 42x5 - 32x4 + 28x3 - 2x2 - 4x + 1 |
\( 3^{12}\cdot 5^{8}\cdot 13^{4}\cdot 17^{4} \) |
18T963 |
Trivial
|
| 18.6.523104597390400000000.1 |
x18 - x16 - 6x14 + 5x12 + 2x10 - 7x8 + 18x6 - 7x4 - 3x2 - 1 |
\( 2^{12}\cdot 5^{8}\cdot 83^{6} \) |
$(C_3\times A_4):S_3$ (as 18T108) |
Trivial
|
| 18.6.580443371325058772269.1 |
x18 - 5x17 + 8x16 - 2x15 - 7x14 + 16x13 - 42x12 + 55x11 - 6x10 - 38x9 + 21x8 - 16x7 + 17x6 + 12x5 + 7x4 - 53x3 + 44x2 - 10x - 1 |
\( 109\cdot 2307632671^{2} \) |
18T968 |
Trivial
|
| 18.6.584867874156540975625.1 |
x18 - 6x16 - 4x15 + 20x14 - 6x13 - 39x12 + 62x11 + 106x10 - 86x9 - 244x8 + 6x7 + 275x6 + 63x5 - 132x4 - 44x3 + 17x2 + 9x + 1 |
\( 5^{4}\cdot 23^{6}\cdot 43^{6} \) |
18T224 |
Trivial
|
| 18.6.616211844050013988113.1 |
x18 - 3x17 - 3x16 + 12x15 + 12x14 - 39x13 - 19x12 + 78x11 + 6x10 - 84x9 - 21x8 + 84x7 + 65x6 - 105x5 - 54x4 + 75x3 + 15x2 - 18x - 1 |
\( 3^{24}\cdot 1297^{3} \) |
18T207 |
Trivial
|
| 18.6.616211844050013988113.2 |
x18 - 6x17 + 15x16 - 14x15 - 21x14 + 81x13 - 111x12 + 81x11 - 48x10 + 58x9 - 36x8 - 75x7 + 183x6 - 171x5 + 81x4 - 10x3 - 9x2 + 3x - 1 |
\( 3^{24}\cdot 1297^{3} \) |
18T702 |
Trivial
|
| 18.6.661231600128000000000.1 |
x18 - 3x17 - x16 + 16x15 - 17x14 - 22x13 + 60x12 - 17x11 - 87x10 + 80x9 + 57x8 - 108x7 + 4x6 + 75x5 - 31x4 - 26x3 + 13x2 + 2x - 1 |
\( 2^{18}\cdot 3^{6}\cdot 5^{9}\cdot 11^{6} \) |
$C_2\times S_3\wr C_2$ (as 18T63) |
Trivial
|
| 18.6.671400859182742683648.1 |
x18 - x17 - 9x16 + 9x15 + 34x14 - 25x13 - 65x12 + 16x11 + 57x10 + 48x9 - 18x8 - 86x7 - 9x6 + 49x5 + 13x4 - 11x3 - 5x2 + 2x + 1 |
\( 2^{14}\cdot 3^{9}\cdot 113^{6} \) |
$C_2\times (C_3\times A_4):S_3$ (as 18T156) |
Trivial
|
| 18.6.677646828706763608064.1 |
x18 - 3x17 + 2x16 + 8x15 - 19x14 + 21x13 - 10x12 + 9x11 - 78x10 + 109x9 - 46x8 + 33x7 - 50x6 + 13x5 + 25x4 - 22x3 + 8x2 - 3x + 1 |
\( 2^{12}\cdot 37^{6}\cdot 401^{3} \) |
18T314 |
Trivial
|
| 18.6.811666663658785884481.1 |
x18 - x17 - 5x16 + 5x15 + 8x14 - 16x13 + 3x12 + 40x11 - 32x10 - 63x9 + 62x8 + 76x7 - 63x6 - 64x5 + 15x4 - x3 - 11x2 + 2x + 1 |
\( 7^{12}\cdot 113^{2}\cdot 2143^{2} \) |
18T703 |
Trivial
(GRH)
|
| 18.6.826088697125499392000.1 |
x18 - 3x17 + 4x16 - 3x15 - x14 + x13 + 23x12 - 23x10 - 41x9 + 8x8 + 48x7 + 32x6 - 29x5 - 38x4 + 8x3 + 13x2 - 1 |
\( 2^{12}\cdot 5^{3}\cdot 13^{2}\cdot 37^{6}\cdot 61^{2} \) |
18T556 |
Trivial
|
| 18.6.870649295878306573433.1 |
x18 - 5x17 + 10x16 - 4x15 - 35x14 + 126x13 - 281x12 + 491x11 - 689x10 + 773x9 - 689x8 + 491x7 - 281x6 + 126x5 - 35x4 - 4x3 + 10x2 - 5x + 1 |
\( 7^{12}\cdot 41^{3}\cdot 97^{3} \) |
18T207 |
Trivial
|
| 18.6.870649295878306573433.2 |
x18 - 7x16 - 6x15 + 19x14 + 30x13 - 11x12 - 55x11 - 37x10 + 44x9 + 80x8 - 23x7 - 96x6 + 10x5 + 72x4 + 2x3 - 22x2 - 3x + 1 |
\( 7^{12}\cdot 41^{3}\cdot 97^{3} \) |
18T840 |
Trivial
(GRH)
|
| 18.6.870649295878306573433.3 |
x18 - x17 - 2x16 - 4x15 + x14 + 20x13 + 11x12 - 42x11 - 37x10 + 53x9 + 64x8 - 35x7 - 62x6 + 7x5 + 32x4 + 2x3 - 9x2 - x + 1 |
\( 7^{12}\cdot 41^{3}\cdot 97^{3} \) |
18T840 |
Trivial
(GRH)
|
| 18.6.870649295878306573433.4 |
x18 - 3x17 + 3x16 - 5x15 + 2x14 + 29x13 - 51x12 + 18x11 + 32x10 - 79x9 + 86x8 + 23x7 - 121x6 + 40x5 + 67x4 - 37x3 - 17x2 + 14x - 1 |
\( 7^{12}\cdot 41^{3}\cdot 97^{3} \) |
18T840 |
Trivial
(GRH)
|
| 18.6.981486058210060140544.1 |
x18 - 7x16 + 19x14 - 40x12 + 90x10 - 143x8 + 123x6 - 55x4 + 12x2 - 1 |
\( 2^{24}\cdot 37^{6}\cdot 151^{2} \) |
18T776 |
Trivial
(GRH)
|
| 18.6.1023490369077469249536.1 |
x18 - 8x15 - 12x14 - 12x13 - 6x12 + 24x11 + 18x10 + 42x9 - 6x8 - 55x6 - 6x4 + 2x3 + 30x2 - 12x + 1 |
\( 2^{27}\cdot 3^{27} \) |
$S_3 \times C_6$ (as 18T6) |
Trivial
|
| 18.6.1112034511392862094521.1 |
x18 - x17 - 16x15 + 30x13 + 51x12 - 18x11 - 87x10 - 44x9 + 26x8 + 112x7 - 22x6 - 15x5 - 40x4 + 20x3 + 10x2 - 7x + 1 |
\( 11^{6}\cdot 29^{4}\cdot 31^{6} \) |
18T224 |
Trivial
|
| 18.6.1156831381426176000000.1 |
x18 - 6x16 + 15x14 - 35x12 + 75x10 - 96x8 + 124x6 - 141x4 + 63x2 - 1 |
\( 2^{18}\cdot 3^{24}\cdot 5^{6} \) |
$C_3\times S_4$ (as 18T33) |
Trivial
|
| 18.6.1181540996318858180625.1 |
x18 - 5x16 - x15 - x14 - 12x13 + 21x12 + 13x11 - 53x10 + 17x9 + 13x8 - 62x7 + 43x6 + 23x5 - 42x4 + x3 - 10x2 - 12x - 1 |
\( 3^{8}\cdot 5^{4}\cdot 257^{6} \) |
18T224 |
Trivial
|
| 18.6.1354296922000286810112.1 |
x18 - 6x17 + 19x16 - 36x15 + 31x14 + 32x13 - 161x12 + 318x11 - 419x10 + 376x9 - 234x8 + 78x7 + 45x6 - 60x5 + 23x4 - 4x3 - 5x2 + 2x + 1 |
\( 2^{27}\cdot 3^{6}\cdot 7^{12} \) |
$S_3 \times C_6$ (as 18T6) |
Trivial
|
| 18.6.1444295142352631373981.1 |
x18 - x17 + 4x16 + 4x15 - 2x14 + 12x13 - 8x12 - 12x11 - 29x10 - 52x9 - 36x8 - 46x7 - 21x6 - 2x5 + 5x4 + 11x3 + 3x2 + x + 1 |
\( 3\cdot 11^{4}\cdot 37^{4}\cdot 47\cdot 139^{4} \) |
18T966 |
Trivial
|
| 18.6.1689720307611555768409.1 |
x18 - x17 - 5x16 + 3x15 + 13x14 - 8x13 - 26x12 + 35x11 + 14x10 - 67x9 + 42x8 + 42x7 - 68x6 + 5x5 + 38x4 - 11x3 - 10x2 + 3x + 1 |
\( 7^{12}\cdot 349397^{2} \) |
18T703 |
Trivial
|
| 18.6.1905799670777912152064.1 |
x18 - 3x17 + 11x15 - 16x14 - 6x13 + 10x12 + 67x11 - 69x10 - 55x9 + 14x8 + 79x7 + 24x6 - 71x5 - 3x4 + 19x3 + 9x2 - 11x + 1 |
\( 2^{12}\cdot 19^{6}\cdot 31^{4}\cdot 10709 \) |
18T764 |
Trivial
(GRH)
|
| 18.6.1937102445000000000000.1 |
x18 - 6x17 + 15x16 - 34x15 + 93x14 - 168x13 + 166x12 - 132x11 + 102x10 + 62x9 - 201x8 + 138x7 - 83x6 + 24x5 + 51x4 - 4x3 - 30x2 + 6x + 1 |
\( 2^{12}\cdot 3^{18}\cdot 5^{13} \) |
$C_2\times C_3^2:S_3$ (as 18T52) |
Trivial
|
| 18.6.1937392724457335897761.1 |
x18 - 2x17 + 4x16 - 11x15 + 12x14 - 27x13 + 15x12 - 29x11 - 9x10 + 3x9 - 53x8 + 16x7 - 20x6 - 32x5 + 8x4 - 15x3 - 14x2 + x + 1 |
\( 97^{2}\cdot 453771377^{2} \) |
18T964 |
Trivial
|
| 18.6.1989648926436453792453.1 |
x18 - 6x17 + 15x16 - 21x15 + 12x14 + 15x13 - 42x12 + 39x11 - 21x10 + 91x9 - 327x8 + 615x7 - 708x6 + 528x5 - 240x4 + 51x3 + 6x2 - 6x + 1 |
\( 3^{33}\cdot 71^{3} \) |
18T285 |
Trivial
|
| 18.6.2059828821955993600561.1 |
x18 - 4x17 - 2x16 + 31x15 - 31x14 - 82x13 + 171x12 + 45x11 - 353x10 + 171x9 + 311x8 - 328x7 - 49x6 + 200x5 - 85x4 - 22x3 + 39x2 - 11x - 1 |
\( 7^{12}\cdot 41^{2}\cdot 97^{4} \) |
18T838 |
Trivial
(GRH)
|
| 18.6.2094660489407173427089.1 |
x18 - 7x17 + 18x16 - 17x15 - 11x14 + 44x13 - 58x12 + 103x11 - 267x10 + 521x9 - 674x8 + 554x7 - 214x6 - 93x5 + 194x4 - 135x3 + 52x2 - 11x + 1 |
\( 7^{12}\cdot 73^{6} \) |
$C_3\times A_5$ (as 18T90) |
Trivial
|
| 18.6.2182521490429979398144.1 |
x18 - x17 - 4x16 + x15 + x14 + 6x13 + 3x12 - x11 - x10 + 6x9 - x8 - x7 + 3x6 + 6x5 + x4 + x3 - 4x2 - x + 1 |
\( 2^{12}\cdot 37^{6}\cdot 14411^{2} \) |
18T776 |
Trivial
(GRH)
|
| 18.6.2259436291848000000000.1 |
x18 - 6x17 + 15x16 - 12x15 - 39x14 + 153x13 - 265x12 + 243x11 + 9x10 - 417x9 + 768x8 - 906x7 + 751x6 - 372x5 + 66x4 + 19x3 - 9x2 + 3x - 1 |
\( 2^{12}\cdot 3^{24}\cdot 5^{9} \) |
$S_3 \times C_6$ (as 18T6) |
Trivial
|
