| 18.0.1115906277282951168.1 |
x18 - 4x17 + 14x16 - 31x15 + 64x14 - 100x13 + 146x12 - 176x11 + 202x10 - 205x9 + 202x8 - 176x7 + 146x6 - 100x5 + 64x4 - 31x3 + 14x2 - 4x + 1 |
\( -\,2^{12}\cdot 3^{9}\cdot 7^{12} \) |
$S_3 \times C_3$ (as 18T3) |
Trivial
|
| 18.0.2529990231179046912.1 |
x18 - 9x17 + 36x16 - 81x15 + 105x14 - 63x13 - 21x12 + 72x11 - 63x10 + 27x9 - 6x6 - 9x5 + 18x4 - 9x2 + 3 |
\( -\,2^{12}\cdot 3^{31} \) |
$S_3 \times C_3$ (as 18T3) |
Trivial
|
| 18.0.4052555153018976267.1 |
x18 - 3x15 + 15x12 + 20x9 + 33x6 + 6x3 + 1 |
\( -\,3^{39} \) |
$S_3 \times C_3$ (as 18T3) |
Trivial
|
| 18.0.6107453226347659264.1 |
x18 + 5x16 + 12x14 + 29x12 + 55x10 + 57x8 + 39x6 + 22x4 + 8x2 + 1 |
\( -\,2^{18}\cdot 13^{12} \) |
$S_3 \times C_3$ (as 18T3) |
Trivial
|
| 18.0.37907050706572935168.1 |
x18 + 6x16 - 4x15 + 15x14 - 12x13 + 38x12 - 54x11 + 84x10 - 84x9 + 84x8 - 54x7 + 38x6 - 12x5 + 15x4 - 4x3 + 6x2 + 1 |
\( -\,2^{27}\cdot 3^{24} \) |
$S_3 \times C_3$ (as 18T3) |
Trivial
|
| 18.0.43564677551979246963.1 |
x18 - x17 + 4x16 - x15 + 12x14 - 9x13 + 12x12 - 18x11 + 26x10 - 12x9 - 4x8 - 5x7 + 31x6 - 17x5 - 3x4 + 5x2 - 3x + 1 |
\( -\,3^{9}\cdot 19^{12} \) |
$S_3 \times C_3$ (as 18T3) |
Trivial
|
| 18.0.144784752906623254803.2 |
x18 - 9x17 + 36x16 - 80x15 + 114x14 - 132x13 + 151x12 - 138x11 + 99x10 - 73x9 + 30x8 - 6x7 + 25x6 + 30x5 + 48x4 + 36x3 + 21x2 + 21x + 7 |
\( -\,3^{21}\cdot 7^{12} \) |
$S_3 \times C_3$ (as 18T3) |
Trivial
|
| 18.0.485758124386377007104.1 |
x18 + 3x16 - 3x14 - 12x12 - 12x10 + 3x8 + 63x6 + 3x4 + 6x2 + 1 |
\( -\,2^{18}\cdot 3^{32} \) |
$S_3 \times C_3$ (as 18T3) |
Trivial
|
| 18.0.665954073415574215371.1 |
x18 - 3x17 + 6x16 - 9x15 - 12x14 + 30x13 - 19x12 + 9x11 + 30x10 + 22x9 + 93x8 - 15x7 + 95x6 + 24x5 + 99x4 + 15x3 + 21x2 - 9x + 1 |
\( -\,3^{24}\cdot 11^{9} \) |
$S_3 \times C_3$ (as 18T3) |
Trivial
|
| 18.0.1159072634263427734375.1 |
x18 - 5x17 + 16x16 - 34x15 + 63x14 - 91x13 + 92x12 - 7x11 - 128x10 + 193x9 - 128x8 - 7x7 + 92x6 - 91x5 + 63x4 - 34x3 + 16x2 - 5x + 1 |
\( -\,5^{12}\cdot 7^{15} \) |
$S_3 \times C_3$ (as 18T3) |
Trivial
|
| 18.0.1206393352117083984375.1 |
x18 - 6x17 + 21x16 - 51x15 + 87x14 - 102x13 + 48x12 + 90x11 - 234x10 + 298x9 - 156x8 - 120x7 + 354x6 - 384x5 + 273x4 - 132x3 + 45x2 - 9x + 1 |
\( -\,3^{31}\cdot 5^{9} \) |
$S_3 \times C_3$ (as 18T3) |
$[2]$
|
| 18.0.1878328153971890270208.1 |
x18 - 6x17 + 22x16 - 59x15 + 110x14 - 126x13 + 64x12 + 20x11 - 28x10 + 5x9 - 28x8 + 20x7 + 64x6 - 126x5 + 110x4 - 59x3 + 22x2 - 6x + 1 |
\( -\,2^{12}\cdot 3^{9}\cdot 13^{12} \) |
$S_3 \times C_3$ (as 18T3) |
Trivial
|
| 18.0.4466413101188628826579.1 |
x18 - 4x17 + 7x16 - 11x15 + 37x14 - 22x13 + 71x12 + 33x11 + 204x10 + 118x9 + 305x8 + 169x7 + 216x6 + 59x5 + 84x4 + 8x3 + 12x2 + x + 1 |
\( -\,7^{12}\cdot 19^{9} \) |
$S_3 \times C_3$ (as 18T3) |
Trivial
|
| 18.0.7086739046912000000000.1 |
x18 - 6x17 + 28x16 - 102x15 + 296x14 - 696x13 + 1429x12 - 2684x11 + 4639x10 - 7178x9 + 9523x8 - 10268x7 + 8521x6 - 5202x5 + 2254x4 - 672x3 + 133x2 - 16x + 1 |
\( -\,2^{18}\cdot 5^{9}\cdot 7^{12} \) |
$S_3 \times C_3$ (as 18T3) |
$[2]$
|
| 18.0.16599265906765726789632.1 |
x18 - 9x17 + 45x16 - 150x15 + 369x14 - 711x13 + 1119x12 - 1449x11 + 1458x10 - 944x9 + 135x8 + 261x7 + 69x6 - 459x5 + 279x4 + 87x3 - 99x2 - 36x + 37 |
\( -\,2^{12}\cdot 3^{39} \) |
$S_3 \times C_3$ (as 18T3) |
Trivial
|
| 18.0.16599265906765726789632.2 |
x18 - 12x15 + 132x12 - 160x9 + 240x6 + 96x3 + 64 |
\( -\,2^{12}\cdot 3^{39} \) |
$S_3 \times C_3$ (as 18T3) |
Trivial
|
| 18.0.23465261991844685929951.1 |
x18 - 6x17 + 19x16 - 34x15 + 42x14 - 34x13 + 20x12 + 20x11 - 97x10 + 148x9 - 131x8 - 30x7 + 251x6 - 76x5 - 53x4 + 8x3 + 11x2 + 4x + 1 |
\( -\,31^{15} \) |
$S_3 \times C_3$ (as 18T3) |
$[3]$
|
| 18.0.24930271280154907835063.1 |
x18 - 3x17 + 7x16 - 8x15 + 35x14 - 28x13 + 110x12 - 162x11 + 286x10 - 260x9 + 262x8 - 100x7 + 124x6 - 126x5 + 105x4 - 43x3 + 21x2 - 6x + 1 |
\( -\,7^{12}\cdot 23^{9} \) |
$S_3 \times C_3$ (as 18T3) |
$[3]$
|
| 18.0.36566016894007743873024.1 |
x18 + 2x16 - 6x14 - 30x12 - 19x10 + 292x8 + 337x6 + 66x4 + 540x2 + 216 |
\( -\,2^{27}\cdot 3^{9}\cdot 7^{12} \) |
$S_3 \times C_3$ (as 18T3) |
$[2]$
|
| 18.0.37980492079544000000000.1 |
x18 - 6x17 + 26x16 - 79x15 + 210x14 - 448x13 + 876x12 - 1414x11 + 2146x10 - 2653x9 + 3166x8 - 2968x7 + 2738x6 - 1960x5 + 1344x4 - 753x3 + 318x2 - 34x + 71 |
\( -\,2^{12}\cdot 5^{9}\cdot 7^{15} \) |
$S_3 \times C_3$ (as 18T3) |
$[2]$
|
| 18.0.62181896314367173832704.1 |
x18 - x17 - 11x16 + 29x15 + 13x14 - 181x13 + 260x12 + 223x11 - 970x10 + 567x9 + 1007x8 - 1329x7 + 46x6 + 692x5 - 526x4 + 5x3 + 348x2 - 173x + 83 |
\( -\,2^{12}\cdot 19^{15} \) |
$S_3 \times C_3$ (as 18T3) |
Trivial
|
| 18.0.66513197260078857421875.1 |
x18 - 9x17 + 43x16 - 140x15 + 353x14 - 735x13 + 1291x12 - 1909x11 + 2255x10 - 1903x9 + 935x8 - 61x7 - 215x6 + 87x5 + 35x4 - 38x3 + 13x2 - 3x + 1 |
\( -\,3^{9}\cdot 5^{12}\cdot 7^{12} \) |
$S_3 \times C_3$ (as 18T3) |
Trivial
|
| 18.0.74776048463992972940487.1 |
x18 - 6x17 + 12x16 + 3x15 - 42x14 + 33x13 + 96x12 - 225x11 + 168x10 + 85x9 - 264x8 + 381x7 - 150x6 - 153x5 + 327x4 - 243x3 + 114x2 - 36x + 8 |
\( -\,3^{32}\cdot 7^{9} \) |
$S_3 \times C_3$ (as 18T3) |
Trivial
|
| 18.0.82902719895275009212416.1 |
x18 + 6x16 - 12x15 + 21x14 - 72x13 + 144x12 - 282x11 + 462x10 - 620x9 + 864x8 - 1122x7 + 1206x6 - 948x5 + 549x4 - 228x3 + 66x2 - 12x + 1 |
\( -\,2^{27}\cdot 3^{31} \) |
$S_3 \times C_3$ (as 18T3) |
$[2]$
|
| 18.0.129572244330949414435923.1 |
x18 - 3x17 + 5x16 + 3x14 - 47x13 + 109x12 - 65x11 - 52x10 + 192x9 + 188x8 + 192x7 + 210x6 + 135x5 + 72x4 + 41x3 + 10x2 - x + 1 |
\( -\,3^{9}\cdot 37^{12} \) |
$S_3 \times C_3$ (as 18T3) |
Trivial
|
| 18.0.133681279779085528641536.1 |
x18 - x17 + 8x16 - 13x15 + 21x14 - 27x13 + 19x12 + 22x11 + 61x10 + 85x9 + 160x8 - 26x7 + 166x6 - 87x5 + 56x4 - 34x3 + 11x2 - 2x + 1 |
\( -\,2^{12}\cdot 7^{12}\cdot 11^{9} \) |
$S_3 \times C_3$ (as 18T3) |
Trivial
|
| 18.0.144603922678272000000000.1 |
x18 - 3x16 - 6x14 + 33x10 + 273x8 - 19x6 + 225x4 + 675x2 + 125 |
\( -\,2^{18}\cdot 3^{24}\cdot 5^{9} \) |
$S_3 \times C_3$ (as 18T3) |
$[2]$
|
| 18.0.150799169014635498046875.2 |
x18 - 9x17 + 39x16 - 102x15 + 207x14 - 399x13 + 723x12 - 1089x11 + 1371x10 - 1465x9 + 1314x8 - 699x7 + 231x6 + 342x5 - 336x4 + 336x3 - 144x2 - 96x + 64 |
\( -\,3^{31}\cdot 5^{12} \) |
$S_3 \times C_3$ (as 18T3) |
Trivial
|
| 18.0.243706199334710775656643.1 |
x18 - 9x17 + 45x16 - 150x15 + 369x14 - 711x13 + 1114x12 - 1473x11 + 1956x10 - 3127x9 + 5337x8 - 7785x7 + 8797x6 - 7140x5 + 3858x4 - 1187x3 + 264x2 - 15x + 25 |
\( -\,3^{21}\cdot 13^{12} \) |
$S_3 \times C_3$ (as 18T3) |
Trivial
|
| 18.0.297066099785564011102208.1 |
x18 - 4x16 + 45x14 + 176x12 + 362x10 + 500x8 + 369x6 + 218x4 + 72x2 + 8 |
\( -\,2^{27}\cdot 19^{12} \) |
$S_3 \times C_3$ (as 18T3) |
Trivial
|
| 18.0.365958403811771477871871.1 |
x18 - 3x17 + 17x16 - 30x15 + 79x14 - 126x13 + 174x12 - 66x11 + 224x10 - 138x9 + 476x8 - 384x7 + 454x6 - 294x5 + 193x4 - 93x3 + 33x2 - 6x + 1 |
\( -\,7^{12}\cdot 31^{9} \) |
$S_3 \times C_3$ (as 18T3) |
$[3]$
|
| 18.0.508698711308514601331703.2 |
x18 + 3x16 - 3x15 + 45x14 - 60x13 + 254x12 - 198x11 + 450x10 - 400x9 + 468x8 - 534x7 + 956x6 - 774x5 + 405x4 - 138x3 + 45x2 - 9x + 1 |
\( -\,3^{24}\cdot 23^{9} \) |
$S_3 \times C_3$ (as 18T3) |
$[3]$
|
| 18.0.593038347905528851673088.3 |
x18 - 3x17 - 18x16 + 47x15 + 135x14 - 273x13 - 435x12 + 858x11 + 651x10 - 1545x9 - 168x8 + 1170x7 - 106x6 - 441x5 + 60x4 + 82x3 - 9x2 - 6x + 1 |
\( -\,2^{12}\cdot 3^{21}\cdot 7^{12} \) |
$S_3 \times C_3$ (as 18T3) |
$[3]$
|
| 18.0.593038347905528851673088.5 |
x18 - 9x17 + 45x16 - 140x15 + 294x14 - 426x13 + 498x12 - 792x11 + 1791x10 - 3423x9 + 4887x8 - 5184x7 + 4514x6 - 5658x5 + 9858x4 - 11200x3 + 6153x2 - 1209x + 169 |
\( -\,2^{12}\cdot 3^{21}\cdot 7^{12} \) |
$S_3 \times C_3$ (as 18T3) |
$[3]$
|
| 18.0.1340851596668237962730583.2 |
x18 - 3x16 - 7x15 + 9x14 + 42x13 - 6x12 - 126x11 - 108x10 + 140x9 + 450x8 + 588x7 + 498x6 + 378x5 + 525x4 + 980x3 + 1323x2 + 1029x + 343 |
\( -\,3^{24}\cdot 7^{15} \) |
$S_3 \times C_3$ (as 18T3) |
Trivial
|
| 18.0.1725681370618930208702464.1 |
x18 + 16x16 + 102x14 + 475x12 + 1129x10 + 1067x8 + 477x6 + 136x4 + 29x2 + 1 |
\( -\,2^{18}\cdot 37^{12} \) |
$S_3 \times C_3$ (as 18T3) |
$[2, 2]$
|
| 18.0.2727747884710191986159616.1 |
x18 + 9x16 - 4x15 + 18x14 - 9x13 - 16x12 + 36x11 + 162x10 + 231x9 + 711x8 + 342x7 + 767x6 + 297x5 + 165x4 + 77x3 + 18x2 + 3x + 1 |
\( -\,2^{12}\cdot 3^{24}\cdot 11^{9} \) |
$S_3 \times C_3$ (as 18T3) |
$[3]$
|
| 18.0.2727747884710191986159616.2 |
x18 - 9x17 + 57x16 - 243x15 + 840x14 - 2298x13 + 5309x12 - 10128x11 + 16527x10 - 22468x9 + 26112x8 - 25056x7 + 20355x6 - 13275x5 + 7182x4 - 2916x3 + 918x2 - 162x + 27 |
\( -\,2^{12}\cdot 3^{24}\cdot 11^{9} \) |
$S_3 \times C_3$ (as 18T3) |
$[3]$
|
| 18.0.2727747884710191986159616.3 |
x18 - 9x17 + 39x16 - 98x15 + 153x14 - 129x13 - 29x12 + 459x11 - 918x10 + 304x9 + 1575x8 - 825x7 - 1475x6 + 441x5 + 2301x4 + 1963x3 + 891x2 + 216x + 27 |
\( -\,2^{12}\cdot 3^{24}\cdot 11^{9} \) |
$S_3 \times C_3$ (as 18T3) |
$[3]$
|
| 18.0.3628410392018944000000000.1 |
x18 - 2x17 + 5x16 - 32x15 - 10x14 + 28x13 + 172x12 + 416x11 + 5x10 - 514x9 - 735x8 - 824x7 + 1081x6 + 1802x5 + 1721x4 + 1940x3 + 1463x2 - 294x + 1561 |
\( -\,2^{27}\cdot 5^{9}\cdot 7^{12} \) |
$S_3 \times C_3$ (as 18T3) |
$[6]$
|
| 18.0.6550117143611896491465231.1 |
x18 - 6x17 + 9x16 + 6x15 - 27x14 - 12x13 + 465x12 - 1398x11 + 2649x10 - 3110x9 + 2157x8 + 1350x7 - 4305x6 + 5526x5 - 3480x4 - 120x3 + 6528x2 - 7680x + 4096 |
\( -\,3^{31}\cdot 13^{9} \) |
$S_3 \times C_3$ (as 18T3) |
$[4]$
|
| 18.0.6870054266002333390340096.1 |
x18 + 2x16 + 6x14 - 110x12 - 203x10 + 1084x8 - 883x6 + 2522x4 + 1352x2 + 104 |
\( -\,2^{27}\cdot 13^{15} \) |
$S_3 \times C_3$ (as 18T3) |
$[6]$
|
| 18.0.7467330231571086237938751.1 |
x18 + 15x16 - 9x15 + 81x14 - 36x13 + 64x12 - 162x11 + 780x10 - 918x9 + 1782x8 - 1674x7 + 1792x6 - 1188x5 + 669x4 - 252x3 + 63x2 - 9x + 1 |
\( -\,3^{24}\cdot 31^{9} \) |
$S_3 \times C_3$ (as 18T3) |
$[3]$
(GRH)
|
| 18.0.7625597484987000000000000.1 |
x18 - 9x15 + 46x12 - 171x9 + 388x6 - 171x3 + 27 |
\( -\,2^{12}\cdot 3^{27}\cdot 5^{12} \) |
$S_3 \times C_3$ (as 18T3) |
Trivial
|
| 18.0.8549394874383196572862347.2 |
x18 - 9x17 + 45x16 - 156x15 + 411x14 - 861x13 + 1359x12 - 1407x11 + 264x10 + 2354x9 - 5535x8 + 7515x7 - 4059x6 - 4305x5 + 16131x4 - 20937x3 + 14379x2 - 5190x + 811 |
\( -\,3^{31}\cdot 7^{12} \) |
$S_3 \times C_3$ (as 18T3) |
$[3]$
|
| 18.0.8549394874383196572862347.3 |
x18 - 9x17 + 63x16 - 300x15 + 1194x14 - 3822x13 + 10548x12 - 24600x11 + 50088x10 - 87574x9 + 133758x8 - 175122x7 + 198099x6 - 188391x5 + 150321x4 - 95718x3 + 47184x2 - 15720x + 2512 |
\( -\,3^{31}\cdot 7^{12} \) |
$S_3 \times C_3$ (as 18T3) |
$[3]$
|
| 18.0.8549394874383196572862347.4 |
x18 - 9x17 + 39x16 - 102x15 + 117x14 + 243x13 - 1317x12 + 2565x11 - 2241x10 - 1527x9 + 8532x8 - 13725x7 + 11169x6 - 5184x5 + 6561x4 - 14814x3 + 18306x2 - 11799x + 3249 |
\( -\,3^{31}\cdot 7^{12} \) |
$S_3 \times C_3$ (as 18T3) |
$[3]$
|
| 18.18.12267617659000607237787648.1 |
x18 - 30x16 - 37x15 + 204x14 + 294x13 - 604x12 - 858x11 + 984x10 + 1201x9 - 984x8 - 858x7 + 604x6 + 294x5 - 204x4 - 37x3 + 30x2 - 1 |
\( 2^{12}\cdot 3^{24}\cdot 13^{9} \) |
$S_3 \times C_3$ (as 18T3) |
Trivial
(GRH)
|
| 18.18.14824161510814728000000000.1 |
x18 - 3x17 - 24x16 + 57x15 + 237x14 - 381x13 - 1143x12 + 1122x11 + 2523x10 - 1987x9 - 2604x8 + 2118x7 + 1038x6 - 1077x5 - 12x4 + 162x3 - 21x2 - 6x + 1 |
\( 2^{12}\cdot 3^{32}\cdot 5^{9} \) |
$S_3 \times C_3$ (as 18T3) |
Trivial
(GRH)
|
| 18.0.15490206293606403634785167.1 |
x18 - 2x17 - 13x15 + 83x14 - 101x13 + 27x12 - 399x11 + 1430x10 - 743x9 - 2237x8 + 4368x7 - 3469x6 + 3460x5 + 1340x4 - 4333x3 + 6206x2 - 3917x + 13411 |
\( -\,7^{12}\cdot 47^{9} \) |
$S_3 \times C_3$ (as 18T3) |
$[5]$
|
