| 18.4.34386713251607513543.1 |
x18 - 2x17 - 3x15 + 6x14 + 11x13 - 22x12 + 12x11 - 27x10 + 47x9 - 27x8 + 12x7 - 22x6 + 11x5 + 6x4 - 3x3 - 2x + 1 |
\( -\,167\cdot 453771377^{2} \) |
18T968 |
Trivial
|
| 18.4.42892090922754093056.1 |
x18 - x17 - 5x16 + 9x15 + 3x14 - 13x13 + 2x12 - 3x11 + 10x10 + 13x9 - 23x8 - 5x7 + 8x6 - 4x5 + 8x4 + 9x3 - 6x2 - 5x + 1 |
\( -\,2^{12}\cdot 37^{6}\cdot 151^{2}\cdot 179 \) |
18T912 |
Trivial
|
| 18.4.60240587730612391171.1 |
x18 - 5x17 + 8x16 - 2x15 - 2x14 - 10x13 + 12x12 + 16x11 - 39x10 + 26x9 + 6x8 - 28x7 + 27x6 - 6x5 - 12x4 + 11x3 - x2 - 2x + 1 |
\( -\,3331\cdot 134479871^{2} \) |
18T968 |
Trivial
|
| 18.4.60346129003922492771.1 |
x18 - 3x17 + 2x16 + 7x15 - 16x14 + 13x13 + 8x12 - 38x11 + 62x10 - 47x9 - 28x8 + 114x7 - 123x6 + 42x5 + 42x4 - 60x3 + 33x2 - 9x + 1 |
\( -\,131\cdot 678717521^{2} \) |
18T968 |
Trivial
|
| 18.4.99704517946207064107.1 |
x18 - x17 - 3x16 + 8x15 + 5x14 - 19x13 + 8x12 + 32x11 - 16x10 - 13x9 + 26x8 + 7x7 - 8x6 + 7x5 + 10x4 + 3x3 - 2x2 - 3x - 1 |
\( -\,7^{14}\cdot 43^{5} \) |
18T282 |
Trivial
|
| 18.4.122478876518131667543.1 |
x18 - 5x17 + 11x16 - 13x15 + x14 + 20x13 - 28x12 + 10x11 + 21x10 - 35x9 + 21x8 + 10x7 - 28x6 + 20x5 + x4 - 13x3 + 11x2 - 5x + 1 |
\( -\,23\cdot 2307632671^{2} \) |
18T968 |
Trivial
|
| 18.4.153308366766150516736.1 |
x18 - 6x17 + 17x16 - 34x15 + 57x14 - 86x13 + 121x12 - 148x11 + 136x10 - 72x9 - 7x8 + 34x7 + 13x6 - 76x5 + 94x4 - 64x3 + 24x2 - 4x - 1 |
\( -\,2^{18}\cdot 353\cdot 587^{3}\cdot 8191 \) |
18T962 |
Trivial
|
| 18.4.169287115250035851264.1 |
x18 - x14 + 3x12 - 9x10 - 2x8 - 24x6 - 9x4 - x2 + 1 |
\( -\,2^{24}\cdot 3^{6}\cdot 7^{12} \) |
$C_2\times S_3\times A_4$ (as 18T60) |
Trivial
|
| 18.4.214098808754763671875.1 |
x18 - 4x16 - 6x15 + 7x14 + 20x13 + 7x12 - 28x11 - 35x10 + 4x9 + 39x8 + 30x7 - 8x6 - 25x5 - 15x4 + 2x3 + 7x2 + 4x + 1 |
\( -\,5^{9}\cdot 109\cdot 409^{3}\cdot 14699 \) |
18T951 |
Trivial
|
| 18.4.225073641557765238784.1 |
x18 - x16 - 2x15 + x14 - 3x13 - x12 + 8x11 + x10 - 4x9 - x8 + 10x7 + 8x6 - 17x5 - 14x4 + 8x3 + 7x2 - x - 1 |
\( -\,2^{12}\cdot 7^{12}\cdot 13^{4}\cdot 139 \) |
18T766 |
Trivial
(GRH)
|
| 18.4.303256405652583481344.1 |
x18 - 3x16 + 6x14 - 4x12 - 3x10 + 9x8 - 15x6 - 3x4 + 3x2 + 1 |
\( -\,2^{30}\cdot 3^{24} \) |
$C_2\times S_3\times A_4$ (as 18T60) |
Trivial
|
| 18.4.303256405652583481344.2 |
x18 - 6x16 + 15x14 - 23x12 + 33x10 - 48x8 + 44x6 - 15x4 - 3x2 + 1 |
\( -\,2^{30}\cdot 3^{24} \) |
18T544 |
Trivial
|
| 18.4.338190585776316833283.1 |
x18 - x17 + 2x16 - 3x15 + 5x14 - 13x13 + 14x12 - 2x11 + 20x10 - 16x9 - 10x8 + 6x7 - 3x6 - 6x5 - x4 + 8x3 + 3x2 - 2x - 1 |
\( -\,3^{9}\cdot 107^{8} \) |
$S_3\times S_4$ (as 18T69) |
Trivial
|
| 18.4.378086966642928191111.1 |
x18 + 2x16 - 2x15 - 5x13 - 7x12 - 7x11 - 14x10 - 7x9 - 14x8 - 7x7 - 7x6 - 5x5 - 2x3 + 2x2 + 1 |
\( -\,71\cdot 2307632671^{2} \) |
18T968 |
Trivial
|
| 18.4.390877006486250192896.1 |
x18 - 3x16 - 2x14 + 12x12 - 7x10 - 11x8 + 5x6 + x4 - 5x2 + 1 |
\( -\,2^{24}\cdot 13^{12} \) |
$S_3\times A_4$ (as 18T32) |
Trivial
|
| 18.4.496528931236524572736.1 |
x18 + x16 - x15 - x14 - 7x13 - 11x12 - 12x11 - 49x10 - 52x9 - 87x8 - 127x7 - 112x6 - 125x5 - 99x4 - 62x3 - 37x2 - 14x - 2 |
\( -\,2^{6}\cdot 3^{6}\cdot 7^{6}\cdot 67^{6} \) |
18T228 |
Trivial
|
| 18.4.550034440555819706543.1 |
x18 - 3x17 + 3x16 + 4x15 - 15x14 + 13x13 + 17x12 - 44x11 + 7x10 + 53x9 - 30x8 - 39x7 + 25x6 + 22x5 - 8x4 - 9x3 + 3x + 1 |
\( -\,7^{15}\cdot 41^{5} \) |
18T282 |
Trivial
|
| 18.4.734206470812912109375.1 |
x18 + 3x16 - 3x14 - 3x13 + 6x12 - 21x11 + 21x10 + 2x9 - 27x8 + 48x7 - 36x6 + 6x5 + 15x4 - 21x3 + 15x2 - 6x + 1 |
\( -\,3^{24}\cdot 5^{9}\cdot 11^{3} \) |
$S_3\times S_3\wr C_2$ (as 18T150) |
Trivial
|
| 18.4.745373357556319719171.1 |
x18 - 9x16 - 3x15 + 36x14 + 24x13 - 79x12 - 81x11 + 93x10 + 145x9 - 39x8 - 132x7 - 23x6 + 60x5 + 9x4 - 16x3 - 3x2 + 3x + 1 |
\( -\,3^{18}\cdot 7^{12}\cdot 139 \) |
18T657 |
Trivial
(GRH)
|
| 18.4.877869915670051815424.1 |
x18 - 3x16 - x14 + 2x12 + 31x10 - 52x8 + 35x6 - 12x4 - 6x2 + 1 |
\( -\,2^{20}\cdot 307^{6} \) |
18T662 |
Trivial
|
| 18.4.981486058210060140544.1 |
x18 - 5x16 + 5x14 + 8x12 - 8x10 - 17x8 + 19x6 - x4 - 2x2 + 1 |
\( -\,2^{24}\cdot 37^{6}\cdot 151^{2} \) |
18T556 |
Trivial
|
| 18.4.981486058210060140544.2 |
x18 + 2x16 - 3x14 - 9x12 - x10 + 4x8 - 10x6 - 11x4 + x2 + 1 |
\( -\,2^{24}\cdot 37^{6}\cdot 151^{2} \) |
18T912 |
Trivial
|
| 18.4.1005745241518950615011.1 |
x18 - 3x17 + x16 + 8x15 - 10x14 - 3x13 + 15x12 - 8x11 + 5x10 - 14x9 - 6x8 + 62x7 - 84x6 + 28x5 + 44x4 - 60x3 + 33x2 - 9x + 1 |
\( -\,7^{12}\cdot 1091\cdot 8161^{2} \) |
18T879 |
Trivial
|
| 18.4.1088921107001322713088.1 |
x18 - 2x17 + x16 - 4x15 + 18x14 - 15x13 - 10x12 + 22x11 - 6x10 - 15x9 + 49x8 - 64x7 + 35x6 - 13x5 - 15x4 + 23x3 - 12x2 + 7x - 1 |
\( -\,2^{12}\cdot 3^{11}\cdot 107^{6} \) |
$C_3:S_3:S_4$ (as 18T153) |
Trivial
|
| 18.4.1104886300311045259363.1 |
x18 - 9x17 + 41x16 - 124x15 + 274x14 - 462x13 + 605x12 - 614x11 + 473x10 - 264x9 + 102x8 - 40x7 + 43x6 - 50x5 + 32x4 - 7x3 - 7x2 + 6x - 1 |
\( -\,23^{6}\cdot 97^{4}\cdot 84307 \) |
18T764 |
Trivial
(GRH)
|
| 18.4.1136998303554199166751.1 |
x18 - 5x17 + 10x16 - 12x15 + 41x13 - 90x12 + 125x11 - 171x10 + 201x9 - 171x8 + 125x7 - 90x6 + 41x5 - 12x3 + 10x2 - 5x + 1 |
\( -\,3\cdot 11^{4}\cdot 37^{5}\cdot 139^{4} \) |
18T966 |
Trivial
|
| 18.4.1151509603184371131187.1 |
x18 - 2x17 - x16 + 3x15 + 13x14 - 22x13 - 28x12 + 63x11 + 27x10 - 98x9 - 22x8 + 99x7 + 28x6 - 60x5 - 26x4 + 17x3 + 9x2 - x - 1 |
\( -\,31^{8}\cdot 67^{5} \) |
18T764 |
Trivial
(GRH)
|
| 18.4.1315133205823795032064.1 |
x18 - 2x17 - 2x16 + 13x15 - 16x14 - 17x13 + 62x12 - 44x11 - 62x10 + 115x9 - 51x8 - 77x7 + 114x6 + 7x5 - 62x4 + 8x3 + 7x2 - 3x + 1 |
\( -\,2^{12}\cdot 13^{2}\cdot 37^{6}\cdot 61^{2}\cdot 199 \) |
18T912 |
Trivial
|
| 18.4.1410638724627903913536.1 |
x18 - 3x16 + 6x14 + 3x12 + 30x10 + 39x8 - 6x6 - 21x4 - 3x2 + 1 |
\( -\,2^{6}\cdot 3^{20}\cdot 43^{6} \) |
18T370 |
Trivial
|
| 18.4.1546727421952108776391.1 |
x18 - 8x16 - 5x15 + 27x14 + 36x13 - 49x12 - 95x11 + 31x10 + 147x9 + 7x8 - 126x7 - 35x6 + 76x5 + 17x4 - 24x3 - 3x2 + 5x - 1 |
\( -\,11^{4}\cdot 37^{4}\cdot 139^{4}\cdot 151 \) |
18T966 |
Trivial
|
| 18.4.1591468703247982657536.1 |
x18 - 6x16 + 13x14 - 13x12 + 4x10 + 12x8 - 36x6 + 56x4 - 48x2 + 16 |
\( -\,2^{20}\cdot 3^{6}\cdot 113^{6} \) |
18T662 |
Trivial
|
| 18.4.1789858461677911793443.1 |
x18 + 2x16 - 7x15 + 3x14 - 12x13 + 24x12 - 16x11 + 28x10 - 44x9 + 27x8 - 28x7 + 39x6 - 19x5 + 8x4 - 12x3 + 5x2 + 3x - 1 |
\( -\,11\cdot 23^{6}\cdot 43^{2}\cdot 347^{2}\cdot 4937 \) |
18T912 |
Trivial
|
| 18.4.1835774562353817268224.1 |
x18 - 6x17 + 21x16 - 47x15 + 75x14 - 81x13 + 36x12 + 45x11 - 138x10 + 169x9 - 138x8 + 45x7 + 36x6 - 81x5 + 75x4 - 47x3 + 21x2 - 6x + 1 |
\( -\,2^{12}\cdot 3^{24}\cdot 17^{4}\cdot 19 \) |
18T839 |
Trivial
|
| 18.4.1971322991175295565824.1 |
x18 - 3x16 + 4x14 - 16x12 + 14x10 + 26x8 - 12x6 - 8x4 + 9x2 + 1 |
\( -\,2^{26}\cdot 37^{6}\cdot 107^{2} \) |
18T556 |
Trivial
|
| 18.4.2218362870088000000000.1 |
x18 - 3x17 + 3x16 - 2x15 - x14 + 9x13 - 14x12 + 18x11 - 23x10 + 26x9 - 30x8 + 24x7 - 21x6 + 19x5 - 8x4 + 5x3 - 5x2 + 4x - 1 |
\( -\,2^{12}\cdot 5^{9}\cdot 6521^{3} \) |
18T555 |
Trivial
|
| 18.4.2315693668589360644096.1 |
x18 + 2x16 - 2x15 - 3x14 + 6x13 - 11x12 + 24x11 - 39x10 + 68x9 - 102x8 + 120x7 - 134x6 + 114x5 - 45x4 - 8x3 + 15x2 - 6x + 1 |
\( -\,2^{18}\cdot 37^{6}\cdot 151^{3} \) |
18T486 |
Trivial
|
| 18.4.2315693668589360644096.2 |
x18 - 2x17 - 2x16 - 4x15 + 25x14 - 2x13 - 27x12 - 42x11 + 65x10 + 42x9 - 82x8 + 20x7 + 34x6 - 38x5 + 3x4 + 16x3 - 5x2 - 2x + 1 |
\( -\,2^{18}\cdot 37^{6}\cdot 151^{3} \) |
18T885 |
Trivial
|
| 18.4.2315693668589360644096.3 |
x18 - 2x17 - 2x16 + 8x15 - 19x14 + 18x13 - 3x12 - 26x11 + 49x10 - 40x9 - 2x8 + 72x7 - 126x6 + 142x5 - 121x4 + 74x3 - 33x2 + 10x - 1 |
\( -\,2^{18}\cdot 37^{6}\cdot 151^{3} \) |
18T885 |
Trivial
|
| 18.4.2426051245220667850752.1 |
x18 - 6x16 + 18x14 - 38x12 + 57x10 - 60x8 + 37x6 + 6x4 - 24x2 + 8 |
\( -\,2^{33}\cdot 3^{24} \) |
$S_3\times A_4$ (as 18T32) |
Trivial
|
| 18.4.2599263699746061406367.1 |
x18 - 8x17 + 23x16 - 23x15 - 21x14 + 81x13 - 69x12 - 90x11 + 270x10 - 157x9 - 204x8 + 298x7 - 22x6 - 170x5 + 102x4 + 5x3 - 25x2 + 9x - 1 |
\( -\,23^{7}\cdot 59^{4}\cdot 251^{2} \) |
18T884 |
Trivial
|
| 18.4.2599263699746061406367.2 |
x18 - 3x17 - 3x16 + 20x15 - 11x14 - 39x13 + 43x12 + 20x11 - 20x10 - 33x9 - 15x8 + 94x7 - 43x6 - 39x5 + 25x4 + 11x3 - 7x2 - x + 1 |
\( -\,23^{7}\cdot 59^{4}\cdot 251^{2} \) |
18T773 |
Trivial
(GRH)
|
| 18.4.2661084740845748882007.1 |
x18 - 5x15 + 3x12 + 7x9 - 13x6 - 8x3 - 1 |
\( -\,3^{6}\cdot 7^{9}\cdot 67^{6} \) |
18T228 |
Trivial
|
| 18.4.2809313766301774118912.1 |
x18 - 2x17 + 5x16 - 8x15 + 14x14 - 24x13 + 18x12 - 10x11 + 3x10 - 6x9 + 21x8 - 14x7 + 10x6 - 8x5 + x4 - 6x3 + 11x2 - 6x + 1 |
\( -\,2^{27}\cdot 7^{3}\cdot 31^{3}\cdot 127^{3} \) |
18T555 |
Trivial
|
| 18.4.3106527227728698802176.1 |
x18 - 9x17 + 42x16 - 132x15 + 309x14 - 567x13 + 842x12 - 1035x11 + 1080x10 - 989x9 + 834x8 - 675x7 + 520x6 - 357x5 + 195x4 - 74x3 + 12x2 + 3x - 1 |
\( -\,2^{18}\cdot 3^{24}\cdot 41959 \) |
18T544 |
Trivial
|
| 18.4.3165035193944739414016.1 |
x18 + 2x12 - 6x10 + 9x8 - 16x6 + 11x4 - 3x2 + 1 |
\( -\,2^{18}\cdot 367^{2}\cdot 299401^{2} \) |
18T968 |
Trivial
|
| 18.4.3221287037577650765824.1 |
x18 - 4x16 + 10x14 - 16x12 + 4x10 + 20x8 - 26x6 + 14x4 - 5x2 + 1 |
\( -\,2^{18}\cdot 31^{6}\cdot 61^{4} \) |
18T632 |
Trivial
(GRH)
|
| 18.4.3221287037577650765824.2 |
x18 + x16 - 3x14 - 12x12 - 17x10 - 4x8 + 14x6 + 14x4 + 6x2 + 1 |
\( -\,2^{18}\cdot 31^{6}\cdot 61^{4} \) |
18T632 |
Trivial
(GRH)
|
| 18.4.3295805625871197274112.1 |
x18 - 2x17 - x16 + 12x14 - 12x13 - 10x12 + 4x11 + 42x10 - 34x9 - 20x8 + 16x7 + 18x6 - 24x5 + 8x4 + 6x3 - 9x2 + 2x + 1 |
\( -\,2^{20}\cdot 37^{6}\cdot 107^{3} \) |
18T486 |
Trivial
|
| 18.4.3384449153178974138944.1 |
x18 - x16 - 7x14 + 19x12 + 5x10 - 42x8 - 11x6 + 19x4 + 9x2 + 1 |
\( -\,2^{6}\cdot 7^{12}\cdot 113^{2}\cdot 547^{2} \) |
18T768 |
Trivial
|
| 18.4.3511479662680207261696.1 |
x18 - x16 - 5x14 + 5x12 + 7x10 + 2x8 - 26x6 + 23x4 - 8x2 + 1 |
\( -\,2^{22}\cdot 307^{6} \) |
18T521 |
Trivial
|
