| 18.2.4837319251866194741.1 |
x18 - 3x17 + 2x16 - 5x15 + 15x14 - 6x13 + 2x12 - 29x11 + 17x10 + 11x9 + 17x8 - 29x7 + 2x6 - 6x5 + 15x4 - 5x3 + 2x2 - 3x + 1 |
\( 23^{6}\cdot 59^{2}\cdot 149\cdot 251^{2} \) |
18T912 |
Trivial
|
| 18.2.6425148232879087321.1 |
x18 - 2x17 - x16 + 6x15 - 4x14 - 10x13 + 11x12 + 9x11 - 16x10 - 5x9 + 16x8 + 5x7 - 15x6 - 5x5 + 12x4 + x3 - 5x2 + 1 |
\( 23^{6}\cdot 208333^{2} \) |
18T776 |
Trivial
|
| 18.2.7182890828838813137.1 |
x18 - 5x17 + 12x16 - 22x15 + 39x14 - 63x13 + 85x12 - 97x11 + 99x10 - 98x9 + 91x8 - 71x7 + 53x6 - 44x5 + 29x4 - 15x3 + 10x2 - 4x + 1 |
\( 7^{12}\cdot 113\cdot 2143^{2} \) |
18T879 |
Trivial
|
| 18.2.8678645063271073481.1 |
x18 - x17 + 2x16 - 5x15 + x14 - 6x13 + 2x12 + 4x10 + 3x9 + 4x8 + 2x6 - 6x5 + x4 - 5x3 + 2x2 - x + 1 |
\( 41^{3}\cdot 11221481^{2} \) |
18T968 |
Trivial
|
| 18.2.8975765936889758489.1 |
x18 - x17 + 3x15 - x14 + x13 + 7x12 + 2x11 + 3x10 + 11x9 + 3x8 + 2x7 + 7x6 + x5 - x4 + 3x3 - x + 1 |
\( 7^{12}\cdot 41^{3}\cdot 97^{2} \) |
18T472 |
Trivial
|
| 18.2.10910724785335819009.1 |
x18 - 2x17 + 4x15 - 7x14 + x13 + 7x12 + 2x11 - 10x10 + x9 + 20x8 - 22x7 - 2x6 + 7x5 + 2x4 - 10x3 + 11x2 - 5x + 1 |
\( 43^{2}\cdot 83\cdot 107\cdot 311^{2}\cdot 2621^{2} \) |
18T968 |
Trivial
|
| 18.2.10913148516977234837.1 |
x18 - x17 + 3x16 - 5x15 + 4x14 - 6x13 - 5x12 - 2x11 - 16x10 + x9 - 16x8 - 2x7 - 5x6 - 6x5 + 4x4 - 5x3 + 3x2 - x + 1 |
\( 53\cdot 453771377^{2} \) |
18T968 |
Trivial
|
| 18.2.10992670662263790889.1 |
x18 - x16 - 4x15 - x14 + 3x13 + 9x12 + x11 - 2x10 - 13x9 - 2x8 + x7 + 9x6 + 3x5 - x4 - 4x3 - x2 + 1 |
\( 23^{6}\cdot 379^{2}\cdot 719^{2} \) |
18T776 |
Trivial
|
| 18.2.11675081596366988689.1 |
x18 - 4x17 + 4x16 + 9x15 - 27x14 + 17x13 + 26x12 - 46x11 + 12x10 + 20x9 - 12x8 + 15x7 - 48x6 + 48x5 - x4 - 29x3 + 20x2 - 5x + 1 |
\( 5881\cdot 44555813^{2} \) |
18T968 |
Trivial
|
| 18.2.15335719659532189696.1 |
x18 + 5x16 + 5x14 - 8x12 - 8x10 + 17x8 + 19x6 + x4 - 2x2 - 1 |
\( 2^{18}\cdot 37^{6}\cdot 151^{2} \) |
18T483 |
Trivial
|
| 18.2.18454992633836467177.1 |
x18 - 2x17 + 4x15 - 5x14 - 6x13 + 18x12 - x11 - 18x10 + 9x9 + 13x8 - 25x7 - 6x6 + 23x5 + 10x4 - 11x3 - 5x2 + x + 1 |
\( 7^{4}\cdot 23^{6}\cdot 83^{2}\cdot 7537 \) |
18T912 |
Trivial
|
| 18.2.21050052807560777728.1 |
x18 - 5x17 + 6x16 + 9x15 - 20x14 - 15x13 + 52x12 - 6x11 - 57x10 + 25x9 + 37x8 - 29x7 - 14x6 + 24x5 + x4 - 13x3 + 4x + 1 |
\( 2^{12}\cdot 7^{12}\cdot 13^{5} \) |
18T282 |
Trivial
|
| 18.2.21235348679958696913.1 |
x18 - 3x17 + 5x16 - 6x15 + 5x14 + x13 - 9x12 + 18x11 - 26x10 + 29x9 - 26x8 + 18x7 - 9x6 + x5 + 5x4 - 6x3 + 5x2 - 3x + 1 |
\( 7^{12}\cdot 41^{2}\cdot 97^{3} \) |
18T472 |
Trivial
|
| 18.2.24648239086022265625.1 |
x18 - 2x17 + 4x16 - 7x15 + 7x14 - 10x13 + 15x12 - 23x11 + 21x10 - 13x9 + 21x8 - 23x7 + 15x6 - 10x5 + 7x4 - 7x3 + 4x2 - 2x + 1 |
\( 5^{8}\cdot 83^{6}\cdot 193 \) |
18T662 |
Trivial
|
| 18.2.29952577460023808000.1 |
x18 - 5x17 + 14x16 - 25x15 + 23x14 + 21x13 - 137x12 + 330x11 - 559x10 + 747x9 - 826x8 + 768x7 - 606x6 + 405x5 - 226x4 + 102x3 - 35x2 + 8x - 1 |
\( 2^{12}\cdot 5^{3}\cdot 37^{6}\cdot 151^{2} \) |
18T556 |
Trivial
|
| 18.2.30801921737113993216.1 |
x18 - 2x17 + 3x16 - 2x15 + 6x14 - 12x13 + 14x12 + 2x11 - 24x10 + 36x9 - 24x8 + 2x7 + 14x6 - 12x5 + 6x4 - 2x3 + 3x2 - 2x + 1 |
\( 2^{20}\cdot 37^{6}\cdot 107^{2} \) |
18T483 |
Trivial
|
| 18.2.35099369911034591173.1 |
x18 + x16 - 2x15 + 4x13 + 5x12 - 25x11 + x10 + 27x9 + 41x8 - 93x7 + 10x6 + 54x5 - 9x4 - 21x3 + 2x2 + 4x - 1 |
\( 11^{7}\cdot 23^{9} \) |
18T301 |
Trivial
|
| 18.2.38000833928000000000.1 |
x18 - 2x17 + 2x16 - 3x15 + 2x14 - 4x13 + 2x12 - 10x11 + 2x10 - 3x9 - 2x8 - 10x7 - 2x6 - 4x5 - 2x4 - 3x3 - 2x2 - 2x - 1 |
\( 2^{12}\cdot 5^{9}\cdot 41^{6} \) |
$S_3\wr C_2$ (as 18T34) |
Trivial
|
| 18.2.43318105769609220096.1 |
x18 - x15 - 8x12 + 17x9 - 8x6 - x3 + 1 |
\( 2^{12}\cdot 3^{6}\cdot 29^{9} \) |
$C_2\times S_3^2$ (as 18T29) |
Trivial
|
| 18.2.44055316944848498413.1 |
x18 - 5x17 + 14x16 - 27x15 + 44x14 - 68x13 + 98x12 - 117x11 + 102x10 - 50x9 - 18x8 + 74x7 - 101x6 + 95x5 - 69x4 + 39x3 - 17x2 + 5x - 1 |
\( 23^{7}\cdot 59^{3}\cdot 251^{2} \) |
18T912 |
Trivial
|
| 18.2.62526016613841031168.1 |
x18 + 2x16 - x15 + 2x14 - 2x13 + 2x12 - 4x11 + 2x10 - 5x9 + 2x8 - 4x7 + 2x6 - 2x5 + 2x4 - x3 + 2x2 + 1 |
\( 2^{12}\cdot 37^{7}\cdot 401^{2} \) |
18T884 |
Trivial
|
| 18.2.63147574802143803281.1 |
x18 - x17 + 2x16 - 4x15 + 6x14 - 20x13 + 22x12 - 27x11 + 19x10 - 11x9 + 16x8 - 5x7 + 2x6 - 5x5 - 9x4 - 7x3 - x2 + 2x + 1 |
\( 23^{7}\cdot 2647^{3} \) |
18T880 |
Trivial
|
| 18.2.64577632169935983809.1 |
x18 - x17 + x16 - x15 + 9x13 - 17x12 + 12x11 - x10 - 15x9 + 47x8 - 76x7 + 56x6 + 14x5 - 70x4 + 68x3 - 34x2 + 9x - 1 |
\( 19\cdot 31^{2}\cdot 59\cdot 7742417^{2} \) |
18T968 |
Trivial
|
| 18.2.73389591632163236089.1 |
x18 - 5x16 - 7x15 + 10x14 + 25x13 + x12 - 36x11 - 15x10 + 36x9 + 20x8 - 40x7 - 43x6 + 7x5 + 28x4 + 8x3 - 7x2 - 5x - 1 |
\( 11^{6}\cdot 23^{10} \) |
18T713 |
Trivial
|
| 18.2.78576348650831386649.1 |
x18 - 3x17 + 4x16 - 2x15 - 9x14 + 22x13 - 21x12 + 9x11 + 15x10 - 31x9 + 15x8 + 9x7 - 21x6 + 22x5 - 9x4 - 2x3 + 4x2 - 3x + 1 |
\( 7^{14}\cdot 41^{5} \) |
18T282 |
Trivial
|
| 18.2.79129515469685653504.1 |
x18 - 3x16 + x14 + 8x12 - 20x10 + 25x8 - 17x6 + 5x4 + 2x2 - 1 |
\( 2^{18}\cdot 7^{6}\cdot 37^{6} \) |
$C_3:S_3:S_4$ (as 18T154) |
Trivial
|
| 18.2.80282147152292264089.1 |
x18 - x17 + 4x16 - x15 + 6x14 - 4x13 + 10x12 - 6x11 + x10 - 3x9 + 2x8 - 7x7 - 10x6 + x5 - 9x4 - 4x2 - 2x - 1 |
\( 31^{6}\cdot 67^{6} \) |
18T711 |
Trivial
|
| 18.2.84422344936728549312.1 |
x18 + 3x16 - 4x15 + 12x14 + 6x13 + 47x12 - 6x11 + 24x10 - 88x9 - 21x8 - 120x7 - 40x6 - 60x5 - 27x4 - 10x3 - 9x2 - 1 |
\( 2^{6}\cdot 3^{18}\cdot 23^{7} \) |
18T734 |
Trivial
|
| 18.2.85913224501051936768.1 |
x18 - 8x17 + 32x16 - 83x15 + 154x14 - 216x13 + 232x12 - 192x11 + 130x10 - 101x9 + 130x8 - 192x7 + 232x6 - 216x5 + 154x4 - 83x3 + 32x2 - 8x + 1 |
\( 2^{12}\cdot 13^{3}\cdot 37^{6}\cdot 61^{2} \) |
18T556 |
Trivial
|
| 18.2.103106315866857376441.1 |
x18 - 4x16 - 2x15 + 6x14 + x13 - 6x12 - 8x11 - 3x10 - x9 - 2x8 - 10x7 - 3x6 - 5x5 - 12x4 - 6x3 - 3x2 - 3x - 1 |
\( 23^{6}\cdot 101^{2}\cdot 8263^{2} \) |
18T776 |
Trivial
|
| 18.2.104154322323664273408.1 |
x18 + 2x16 - 6x15 + 2x14 - 10x13 + 15x12 - 8x11 + 19x10 - 20x9 + 10x8 - 18x7 + 14x6 - 6x5 + 9x4 - 6x3 + 2x2 - 2x + 1 |
\( 2^{18}\cdot 11\cdot 43\cdot 587^{3}\cdot 4153 \) |
18T962 |
Trivial
|
| 18.2.107404103251653678649.1 |
x18 - 2x17 + 4x16 - 9x15 + 15x14 - 22x13 + 35x12 - 47x11 + 53x10 - 67x9 + 66x8 - 59x7 + 56x6 - 39x5 + 26x4 - 17x3 + 7x2 - 3x + 1 |
\( 23^{6}\cdot 317^{2}\cdot 2687^{2} \) |
18T776 |
Trivial
|
| 18.2.108153109818535837696.1 |
x18 + 5x16 + x14 - 36x12 - 88x10 - 99x8 - 69x6 - 35x4 - 10x2 - 1 |
\( 2^{18}\cdot 37^{6}\cdot 401^{2} \) |
18T483 |
Trivial
|
| 18.2.111799609989175181312.1 |
x18 - 4x17 + 8x16 - 8x15 + x14 + 8x13 - 10x12 + 2x11 + 6x10 - 4x9 - 4x8 + 10x7 - 6x6 + 4x5 + x4 + 2x2 + 1 |
\( 2^{27}\cdot 97^{6} \) |
$S_3\wr C_2$ (as 18T34) |
Trivial
|
| 18.2.131988642966456122961.1 |
x18 - 5x16 - 3x15 + 8x14 + 10x13 + 4x12 - 4x11 - 21x10 - 15x9 + 15x8 + 7x7 - 8x6 + 8x5 + 5x4 - 3x3 + x2 + 1 |
\( 3^{12}\cdot 23^{4}\cdot 31^{6} \) |
18T718 |
Trivial
|
| 18.2.139332652309974923829.1 |
x18 - 7x17 + 21x16 - 35x15 + 41x14 - 54x13 + 81x12 - 80x11 + 28x10 + 12x9 + 7x8 - 14x7 - 33x6 + 46x5 - 3x4 - 27x3 + 21x2 - 7x + 1 |
\( 3^{6}\cdot 29\cdot 433^{6} \) |
18T691 |
Trivial
|
| 18.2.145887695661298614272.1 |
x18 + 4x16 + 3x14 - 12x12 + 7x10 + 6x8 - 11x6 + 4x4 + 4x2 - 2 |
\( 2^{33}\cdot 19^{8} \) |
$S_3^2$ (as 18T9) |
Trivial
|
| 18.2.169287115250035851264.1 |
x18 - x14 - 3x12 - 9x10 + 2x8 - 24x6 + 9x4 - x2 - 1 |
\( 2^{24}\cdot 3^{6}\cdot 7^{12} \) |
$S_3\times A_4$ (as 18T31) |
Trivial
|
| 18.2.215974961031007317493.1 |
x18 + 6x16 - 7x15 + 15x14 - 35x13 + 39x12 - 70x11 + 91x10 - 95x9 + 120x8 - 110x7 + 92x6 - 82x5 + 49x4 - 28x3 + 15x2 - 3x + 1 |
\( 257^{6}\cdot 749557 \) |
18T930 |
Trivial
|
| 18.2.219467478917512953856.1 |
x18 + x16 - 5x14 - 5x12 + 7x10 - 2x8 - 26x6 - 23x4 - 8x2 - 1 |
\( 2^{18}\cdot 307^{6} \) |
18T437 |
Trivial
|
| 18.2.227553584545548828125.1 |
x18 - 2x17 - x16 + 6x15 - 9x14 + 6x13 + 13x11 - 52x10 + 77x9 - 52x8 + 13x7 + 6x5 - 9x4 + 6x3 - x2 - 2x + 1 |
\( 5^{9}\cdot 13^{6}\cdot 17^{6} \) |
$C_2\times S_3\wr C_2$ (as 18T63) |
Trivial
|
| 18.2.228289854753724432384.1 |
x18 - 3x16 + 6x14 - 8x12 + 8x10 - 5x8 + 3x6 - x4 + x2 - 1 |
\( 2^{18}\cdot 101^{2}\cdot 292181^{2} \) |
18T964 |
Trivial
|
| 18.2.228289854753724432384.2 |
x18 + 2x16 + 2x14 - 3x10 - 7x8 - 8x6 - 6x4 - 3x2 - 1 |
\( 2^{18}\cdot 101^{2}\cdot 292181^{2} \) |
18T964 |
Trivial
|
| 18.2.234914351128288137216.1 |
x18 + 9x16 + 36x14 + 84x12 + 126x10 + 126x8 + 83x6 + 33x4 + 6x2 - 1 |
\( 2^{12}\cdot 3^{18}\cdot 23^{6} \) |
18T520 |
Trivial
|
| 18.2.254891514450553129009.1 |
x18 - 5x17 + 16x16 - 35x15 + 59x14 - 73x13 + 59x12 - 5x11 - 79x10 + 163x9 - 224x8 + 229x7 - 192x6 + 127x5 - 59x4 + 24x3 - 4x - 1 |
\( 7^{12}\cdot 97^{2}\cdot 1399^{2} \) |
18T838 |
Trivial
|
| 18.2.271903514215160479744.1 |
x18 + x16 - 2x12 + 5x8 + 8x6 + 6x4 + x2 - 1 |
\( 2^{18}\cdot 23^{6}\cdot 2647^{2} \) |
18T483 |
Trivial
|
| 18.2.271903514215160479744.2 |
x18 - 3x16 + 8x14 - 12x12 + 11x10 - 5x8 - 2x6 + 2x4 - 1 |
\( 2^{18}\cdot 23^{6}\cdot 2647^{2} \) |
18T883 |
Trivial
|
| 18.2.271903514215160479744.3 |
x18 - 5x16 + 11x14 - 15x12 + 19x10 - 20x8 + 14x6 - 10x4 + 5x2 - 1 |
\( 2^{18}\cdot 23^{6}\cdot 2647^{2} \) |
18T883 |
Trivial
|
| 18.2.297720850308809660352.1 |
x18 - 3x17 + 2x16 + 10x14 - 23x13 + 6x12 + 20x11 - 11x10 + 7x9 - 65x8 + 106x7 - 43x6 - 60x5 + 101x4 - 69x3 + 28x2 - 7x + 1 |
\( 2^{6}\cdot 3^{6}\cdot 23^{7}\cdot 37^{4} \) |
18T835 |
Trivial
|
| 18.2.297720850308809660352.2 |
x18 - 4x17 + 10x16 - 27x15 + 57x14 - 83x13 + 97x12 - 102x11 + 82x10 - 36x9 + 13x8 - 34x7 + 37x6 - 5x5 - 2x4 - 15x3 + 16x2 - 7x + 1 |
\( 2^{6}\cdot 3^{6}\cdot 23^{7}\cdot 37^{4} \) |
18T835 |
Trivial
(GRH)
|
