| Label |
Polynomial |
Degree |
Signature |
Discriminant |
Ram. prime count |
Root discriminant |
CM field |
Galois |
Monogenic |
Galois group |
Class group |
Unit group torsion |
Unit group rank |
Regulator |
| 18.0.923324627983045303.1 |
x18 - 4x17 + 10x16 - 17x15 + 24x14 - 28x13 + 28x12 - 22x11 + 14x10 - 8x9 + 5x8 - 3x7 + 2x6 - 3x5 + 2x4 + x3 - 2x2 + 1 |
$18$ |
[0,9] |
$-\,31^{6}\cdot 463\cdot 1499^{2}$ |
$3$ |
$9.95577895498$ |
|
|
not computed |
18T912 |
trivial |
$2$ |
$8$ |
$19.2198611118$ |
| 18.0.111...168.1 |
x18 - 4x17 + 14x16 - 31x15 + 64x14 - 100x13 + 146x12 - 176x11 + 202x10 - 205x9 + 202x8 - 176x7 + 146x6 - 100x5 + 64x4 - 31x3 + 14x2 - 4x + 1 |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{9}\cdot 7^{12}$ |
$3$ |
$10.0611120208$ |
|
✓ |
not computed |
$S_3 \times C_3$ (as 18T3) |
trivial |
$6$ |
$8$ |
$64.801283476$ |
| 18.0.118...699.1 |
x18 - 5x17 + 16x16 - 39x15 + 80x14 - 141x13 + 221x12 - 312x11 + 400x10 - 465x9 + 489x8 - 463x7 + 395x6 - 300x5 + 195x4 - 101x3 + 38x2 - 9x + 1 |
$18$ |
[0,9] |
$-\,7^{4}\cdot 139\cdot 1373^{4}$ |
$3$ |
$10.0952263665$ |
|
|
✓ |
18T966 |
trivial |
$2$ |
$8$ |
$22.1660529321$ |
| 18.0.119...867.1 |
x18 - 4x17 + 9x16 - 14x15 + 17x14 - 16x13 + 15x12 - 23x11 + 45x10 - 65x9 + 62x8 - 40x7 + 29x6 - 39x5 + 49x4 - 41x3 + 22x2 - 7x + 1 |
$18$ |
[0,9] |
$-\,31^{6}\cdot 67^{5}$ |
$2$ |
$10.1009812596$ |
|
|
not computed |
$C_6^2.(C_6\times S_3)$ (as 18T284) |
trivial |
$2$ |
$8$ |
$22.3834819773$ |
| 18.0.141...707.1 |
x18 - 3x17 + 6x16 - 9x15 + 12x14 - 15x13 + 21x12 - 29x11 + 36x10 - 38x9 + 36x8 - 32x7 + 31x6 - 32x5 + 30x4 - 23x3 + 13x2 - 5x + 1 |
$18$ |
[0,9] |
$-\,23^{6}\cdot 43^{3}\cdot 347^{2}$ |
$3$ |
$10.1956014831$ |
|
|
✓ |
18T556 |
trivial |
$2$ |
$8$ |
$24.7750980478$ |
| 18.0.154...467.1 |
x18 + 9x16 - 9x15 + 36x14 - 63x13 + 109x12 - 189x11 + 252x10 - 335x9 + 378x8 - 378x7 + 334x6 - 243x5 + 147x4 - 67x3 + 21x2 - 3x + 1 |
$18$ |
[0,9] |
$-\,3^{21}\cdot 23^{6}$ |
$2$ |
$10.2459148551$ |
|
|
not computed |
$C_3.S_3^2$ (as 18T57) |
trivial |
$6$ |
$8$ |
$78.7017437829$ |
| 18.0.167...571.1 |
x18 - 2x17 + x16 + 5x15 - 10x14 + 5x13 + 13x12 - 29x11 + 24x10 + 9x9 - 48x8 + 56x7 - 16x6 - 44x5 + 74x4 - 60x3 + 29x2 - 8x + 1 |
$18$ |
[0,9] |
$-\,139\cdot 367^{2}\cdot 299401^{2}$ |
$3$ |
$10.2918122937$ |
|
|
not computed |
18T968 |
trivial |
$2$ |
$8$ |
$27.3003078572$ |
| 18.0.196...487.1 |
x18 - x17 - 7x15 + 5x14 + 6x13 + 21x12 - 29x11 - 13x10 - 11x9 + 49x8 - 8x7 - 3x6 - 24x5 + 14x4 + 3x3 - 3x + 1 |
$18$ |
[0,9] |
$-\,31^{6}\cdot 1303^{3}$ |
$2$ |
$10.3819269139$ |
|
|
not computed |
$C_3^3.S_4.C_2$ (as 18T314) |
trivial |
$2$ |
$8$ |
$29.661621596$ |
| 18.0.199...128.1 |
x18 - 6x17 + 24x16 - 68x15 + 159x14 - 300x13 + 479x12 - 630x11 + 702x10 - 636x9 + 480x8 - 270x7 + 114x6 - 12x5 - 12x4 + 14x3 - 3x2 + 1 |
$18$ |
[0,9] |
$-\,2^{18}\cdot 3^{27}$ |
$2$ |
$10.3923048454$ |
|
|
not computed |
$S_3 \times C_6$ (as 18T6) |
trivial |
$18$ |
$8$ |
$269.804731118$ |
| 18.0.252...912.1 |
x18 - 9x17 + 36x16 - 81x15 + 105x14 - 63x13 - 21x12 + 72x11 - 63x10 + 27x9 - 6x6 - 9x5 + 18x4 - 9x2 + 3 |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{31}$ |
$2$ |
$10.5292028184$ |
|
✓ |
not computed |
$S_3 \times C_3$ (as 18T3) |
trivial |
$18$ |
$8$ |
$404.056392969$ |
| 18.0.274...447.1 |
x18 - 5x17 + 12x16 - 17x15 + 12x14 - 2x13 + 8x12 - 46x11 + 111x10 - 168x9 + 188x8 - 173x7 + 137x6 - 102x5 + 70x4 - 40x3 + 19x2 - 5x + 1 |
$18$ |
[0,9] |
$-\,23^{6}\cdot 2647^{3}$ |
$2$ |
$10.577140393$ |
|
|
not computed |
$C_3^3.S_4.C_2$ (as 18T314) |
trivial |
$2$ |
$8$ |
$35.6314081744$ |
| 18.0.319...743.1 |
x18 - 5x17 + 15x16 - 36x15 + 75x14 - 137x13 + 221x12 - 312x11 + 384x10 - 411x9 + 384x8 - 312x7 + 221x6 - 137x5 + 75x4 - 36x3 + 15x2 - 5x + 1 |
$18$ |
[0,9] |
$-\,11^{6}\cdot 23^{9}$ |
$2$ |
$10.6658338256$ |
|
|
not computed |
$C_3^3.S_4$ (as 18T221) |
trivial |
$2$ |
$8$ |
$39.4992656122$ |
| 18.0.405...267.1 |
x18 - 3x15 + 15x12 + 20x9 + 33x6 + 6x3 + 1 |
$18$ |
[0,9] |
$-\,3^{39}$ |
$1$ |
$10.8084325966$ |
|
✓ |
not computed |
$S_3 \times C_3$ (as 18T3) |
trivial |
$18$ |
$8$ |
$529.942929585$ |
| 18.0.455...263.1 |
x18 + 6x16 - 2x15 + 15x14 - 10x13 + 22x12 - 20x11 + 23x10 - 20x9 + 18x8 - 10x7 + 9x6 - 2x5 + 2x4 - x3 - x + 1 |
$18$ |
[0,9] |
$-\,3^{9}\cdot 229\cdot 433^{3}\cdot 12457$ |
$4$ |
$10.8792816009$ |
|
|
not computed |
18T951 |
trivial |
$6$ |
$8$ |
$147.731826961$ |
| 18.2.483...741.1 |
x18 - 3x17 + 2x16 - 5x15 + 15x14 - 6x13 + 2x12 - 29x11 + 17x10 + 11x9 + 17x8 - 29x7 + 2x6 - 6x5 + 15x4 - 5x3 + 2x2 - 3x + 1 |
$18$ |
[2,8] |
$23^{6}\cdot 59^{2}\cdot 149\cdot 251^{2}$ |
$4$ |
$10.9152477415$ |
|
|
not computed |
18T912 |
trivial |
$2$ |
$9$ |
$67.155663406$ |
| 18.0.504...712.1 |
x18 - x15 + 2x12 - 9x9 + 12x6 - 5x3 + 1 |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{21}\cdot 7^{6}$ |
$3$ |
$10.940255742$ |
|
|
not computed |
$C_3\times C_3:S_3$ (as 18T23) |
trivial |
$6$ |
$8$ |
$153.95173876$ |
| 18.0.513...176.1 |
x18 - 6x17 + 16x16 - 20x15 - 2x14 + 51x13 - 87x12 + 64x11 + 16x10 - 108x9 + 181x8 - 232x7 + 253x6 - 224x5 + 154x4 - 79x3 + 29x2 - 7x + 1 |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{12}\cdot 11^{9}$ |
$3$ |
$10.9512537696$ |
|
|
not computed |
$C_3\times C_3:S_3$ (as 18T23) |
trivial |
$2$ |
$8$ |
$51.3669704577$ |
| 18.0.546...107.1 |
x18 - 9x17 + 35x16 - 76x15 + 100x14 - 84x13 + 57x12 - 56x11 + 62x10 - 35x9 + 3x8 - 28x7 + 63x6 - 32x5 - 10x3 + 16x2 - 7x + 1 |
$18$ |
[0,9] |
$-\,3^{9}\cdot 23^{6}\cdot 37^{4}$ |
$3$ |
$10.9890254211$ |
|
|
not computed |
$C_3\wr S_3:C_2$ (as 18T137) |
trivial |
$6$ |
$8$ |
$162.382523466$ |
| 18.0.558...424.1 |
x18 - 2x17 + 5x16 - 7x15 + 10x14 - 13x13 + 17x12 - 24x11 + 28x10 - 28x9 + 25x8 - 24x7 + 28x6 - 31x5 + 29x4 - 22x3 + 13x2 - 5x + 1 |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{12}\cdot 37^{6}$ |
$3$ |
$11.0027541313$ |
|
|
not computed |
$C_3^4:D_4$ (as 18T189) |
trivial |
$6$ |
$8$ |
$172.576549312$ |
| 18.0.610...264.1 |
x18 + 5x16 + 12x14 + 29x12 + 55x10 + 57x8 + 39x6 + 22x4 + 8x2 + 1 |
$18$ |
[0,9] |
$-\,2^{18}\cdot 13^{12}$ |
$2$ |
$11.0575496274$ |
|
✓ |
|
$S_3 \times C_3$ (as 18T3) |
trivial |
$4$ |
$8$ |
$132.794513852$ |
| 18.0.622...163.1 |
x18 - 4x15 + 6x12 - 5x9 + 6x6 - 4x3 + 1 |
$18$ |
[0,9] |
$-\,3^{21}\cdot 29^{6}$ |
$2$ |
$11.0689764419$ |
|
|
not computed |
$C_2\times C_3\wr S_3$ (as 18T119) |
trivial |
$6$ |
$8$ |
$184.401892895$ |
| 18.2.642...321.1 |
x18 - 2x17 - x16 + 6x15 - 4x14 - 10x13 + 11x12 + 9x11 - 16x10 - 5x9 + 16x8 + 5x7 - 15x6 - 5x5 + 12x4 + x3 - 5x2 + 1 |
$18$ |
[2,8] |
$23^{6}\cdot 208333^{2}$ |
$2$ |
$11.0887450226$ |
|
|
not computed |
18T776 |
trivial |
$2$ |
$9$ |
$79.1741198129$ |
| 18.0.664...399.1 |
x18 - 9x17 + 42x16 - 132x15 + 310x14 - 574x13 + 865x12 - 1082x11 + 1139x10 - 1020x9 + 787x8 - 532x7 + 321x6 - 174x5 + 85x4 - 37x3 + 14x2 - 4x + 1 |
$18$ |
[0,9] |
$-\,17^{2}\cdot 43^{2}\cdot 2311\cdot 73363^{2}$ |
$4$ |
$11.1096245283$ |
|
|
not computed |
18T968 |
trivial |
$2$ |
$8$ |
$61.0464139366$ |
| 18.2.718...137.1 |
x18 - 5x17 + 12x16 - 22x15 + 39x14 - 63x13 + 85x12 - 97x11 + 99x10 - 98x9 + 91x8 - 71x7 + 53x6 - 44x5 + 29x4 - 15x3 + 10x2 - 4x + 1 |
$18$ |
[2,8] |
$7^{12}\cdot 113\cdot 2143^{2}$ |
$3$ |
$11.1576358018$ |
|
|
not computed |
18T879 |
trivial |
$2$ |
$9$ |
$84.7255286435$ |
| 18.0.817...000.1 |
x18 + x16 - 6x14 - 5x12 + 2x10 + 7x8 + 18x6 + 7x4 - 3x2 + 1 |
$18$ |
[0,9] |
$-\,2^{6}\cdot 5^{8}\cdot 83^{6}$ |
$3$ |
$11.2380087164$ |
|
|
not computed |
$C_2\times (C_3\times A_4):S_3$ (as 18T156) |
trivial |
$2$ |
$8$ |
$72.3431657313$ |
| 18.2.867...481.1 |
x18 - x17 + 2x16 - 5x15 + x14 - 6x13 + 2x12 + 4x10 + 3x9 + 4x8 + 2x6 - 6x5 + x4 - 5x3 + 2x2 - x + 1 |
$18$ |
[2,8] |
$41^{3}\cdot 11221481^{2}$ |
$2$ |
$11.2755106154$ |
|
|
not computed |
18T968 |
trivial |
$2$ |
$9$ |
$93.6283865561$ |
| 18.2.897...489.1 |
x18 - x17 + 3x15 - x14 + x13 + 7x12 + 2x11 + 3x10 + 11x9 + 3x8 + 2x7 + 7x6 + x5 - x4 + 3x3 - x + 1 |
$18$ |
[2,8] |
$7^{12}\cdot 41^{3}\cdot 97^{2}$ |
$3$ |
$11.2966173384$ |
|
|
✓ |
18T472 |
trivial |
$2$ |
$9$ |
$95.2465332123$ |
| 18.0.928...243.1 |
x18 - 9x16 - 11x15 + 21x14 + 69x13 + 54x12 - 75x11 - 219x10 - 205x9 - 6x8 + 231x7 + 342x6 + 303x5 + 201x4 + 103x3 + 39x2 + 9x + 1 |
$18$ |
[0,9] |
$-\,3^{21}\cdot 31^{6}$ |
$2$ |
$11.3178003472$ |
|
|
not computed |
$C_3.S_3^2$ (as 18T57) |
trivial |
$6$ |
$8$ |
$296.277259881$ |
| 18.0.929...543.1 |
x18 - 4x17 + 10x16 - 21x15 + 37x14 - 58x13 + 80x12 - 97x11 + 107x10 - 106x9 + 92x8 - 71x7 + 52x6 - 39x5 + 30x4 - 20x3 + 11x2 - 4x + 1 |
$18$ |
[0,9] |
$-\,7^{15}\cdot 1399^{2}$ |
$2$ |
$11.3183642997$ |
|
|
not computed |
$C_3^3.(C_2^2\times A_4)$ (as 18T286) |
trivial |
$14$ |
$8$ |
$509.337225135$ |
| 18.0.965...875.1 |
x18 - 9x17 + 36x16 - 78x15 + 84x14 - 111x12 + 90x11 + 72x10 - 156x9 + 45x8 + 81x7 - 57x6 - 27x5 + 36x4 - 9x2 + 3 |
$18$ |
[0,9] |
$-\,3^{31}\cdot 5^{6}$ |
$2$ |
$11.3422399052$ |
|
|
not computed |
$S_3 \times C_6$ (as 18T6) |
trivial |
$18$ |
$8$ |
$868.676171318$ |
| 18.0.103...863.1 |
x18 - 4x17 + 11x16 - 22x15 + 36x14 - 53x13 + 80x12 - 116x11 + 154x10 - 173x9 + 154x8 - 116x7 + 80x6 - 53x5 + 36x4 - 22x3 + 11x2 - 4x + 1 |
$18$ |
[0,9] |
$-\,7^{8}\cdot 23^{9}$ |
$2$ |
$11.3884087646$ |
|
|
not computed |
$D_9:C_3$ (as 18T18) |
trivial |
$2$ |
$8$ |
$77.8161636269$ |
| 18.0.104...432.1 |
x18 - 4x17 + 11x16 - 20x15 + 31x14 - 41x13 + 56x12 - 69x11 + 64x10 - 59x9 + 49x8 - 48x7 + 28x6 - 5x5 + 17x4 - 5x3 - 2x2 - x + 1 |
$18$ |
[0,9] |
$-\,2^{8}\cdot 3^{9}\cdot 113^{6}$ |
$3$ |
$11.3949183527$ |
|
|
|
$C_2\times C_3^2:S_3$ (as 18T52) |
trivial |
$6$ |
$8$ |
$327.87771807$ |
| 18.0.108...103.1 |
x18 - 3x17 + 6x16 - 6x15 - 2x14 + 21x13 - 47x12 + 61x11 - 35x10 - 37x9 + 119x8 - 155x7 + 130x6 - 79x5 + 43x4 - 27x3 + 16x2 - 6x + 1 |
$18$ |
[0,9] |
$-\,7^{15}\cdot 1511^{2}$ |
$2$ |
$11.4156323582$ |
|
|
not computed |
$C_3^3.(C_2^2\times A_4)$ (as 18T286) |
trivial |
$14$ |
$8$ |
$524.185517787$ |
| 18.2.109...009.1 |
x18 - 2x17 + 4x15 - 7x14 + x13 + 7x12 + 2x11 - 10x10 + x9 + 20x8 - 22x7 - 2x6 + 7x5 + 2x4 - 10x3 + 11x2 - 5x + 1 |
$18$ |
[2,8] |
$43^{2}\cdot 83\cdot 107\cdot 311^{2}\cdot 2621^{2}$ |
$5$ |
$11.4198009312$ |
|
|
not computed |
18T968 |
trivial |
$2$ |
$9$ |
$106.811954559$ |
| 18.2.109...837.1 |
x18 - x17 + 3x16 - 5x15 + 4x14 - 6x13 - 5x12 - 2x11 - 16x10 + x9 - 16x8 - 2x7 - 5x6 - 6x5 + 4x4 - 5x3 + 3x2 - x + 1 |
$18$ |
[2,8] |
$53\cdot 453771377^{2}$ |
$2$ |
$11.4199418508$ |
|
|
not computed |
18T968 |
trivial |
$2$ |
$9$ |
$106.041791279$ |
| 18.2.109...889.1 |
x18 - x16 - 4x15 - x14 + 3x13 + 9x12 + x11 - 2x10 - 13x9 - 2x8 + x7 + 9x6 + 3x5 - x4 - 4x3 - x2 + 1 |
$18$ |
[2,8] |
$23^{6}\cdot 379^{2}\cdot 719^{2}$ |
$3$ |
$11.4245490763$ |
|
|
not computed |
18T776 |
trivial |
$2$ |
$9$ |
$107.172918917$ |
| 18.0.111...771.1 |
x18 - 8x17 + 28x16 - 54x15 + 55x14 - 8x13 - 55x12 + 69x11 - 19x10 - 37x9 + 44x8 - 16x7 - 6x6 + 15x5 - 14x4 + 3x3 + 7x2 - 5x + 1 |
$18$ |
[0,9] |
$-\,3^{4}\cdot 11^{5}\cdot 31^{8}$ |
$3$ |
$11.432207825$ |
|
|
not computed |
18T485 |
trivial |
$2$ |
$8$ |
$80.526625464$ |
| 18.0.114...403.1 |
x18 - 4x17 + 7x16 - 9x15 + 15x14 - 24x13 + 28x12 - 30x11 + 36x10 - 39x9 + 36x8 - 30x7 + 28x6 - 24x5 + 15x4 - 9x3 + 7x2 - 4x + 1 |
$18$ |
[0,9] |
$-\,23^{6}\cdot 43^{2}\cdot 347^{3}$ |
$3$ |
$11.4496976774$ |
|
|
✓ |
18T556 |
trivial |
$2$ |
$8$ |
$88.267766218$ |
| 18.2.116...689.1 |
x18 - 4x17 + 4x16 + 9x15 - 27x14 + 17x13 + 26x12 - 46x11 + 12x10 + 20x9 - 12x8 + 15x7 - 48x6 + 48x5 - x4 - 29x3 + 20x2 - 5x + 1 |
$18$ |
[2,8] |
$5881\cdot 44555813^{2}$ |
$2$ |
$11.4628396707$ |
|
|
not computed |
18T968 |
trivial |
$2$ |
$9$ |
$111.7260845$ |
| 18.0.122...031.1 |
x18 - 3x17 - 3x16 + 9x15 + 24x14 - 30x13 - 78x12 + 60x11 + 141x10 - 56x9 - 150x8 + 12x7 + 81x6 + 12x5 - 15x4 - 3x3 + 3x2 + 3x + 1 |
$18$ |
[0,9] |
$-\,3^{33}\cdot 13^{3}$ |
$2$ |
$11.4915742027$ |
|
|
not computed |
$C_3\times S_3\wr C_2$ (as 18T93) |
trivial |
$18$ |
$8$ |
$1025.11738531$ |
| 18.0.126...967.1 |
x18 - 3x17 + 6x16 - 7x15 + 4x14 + 2x13 - 4x12 - 3x11 + 14x10 - 19x9 + 17x8 - 6x7 - 10x6 + 18x5 - 9x4 - 6x3 + 10x2 - 5x + 1 |
$18$ |
[0,9] |
$-\,23^{9}\cdot 2647^{2}$ |
$2$ |
$11.5125071118$ |
|
|
not computed |
$C_3^3.S_4.C_2$ (as 18T319) |
trivial |
$2$ |
$8$ |
$86.4501902329$ |
| 18.0.128...283.1 |
x18 - 3x17 + 6x16 - 9x15 + 3x14 + 18x13 - 47x12 + 90x11 - 87x10 + 43x9 + 63x8 - 186x7 + 274x6 - 270x5 + 198x4 - 106x3 + 39x2 - 9x + 1 |
$18$ |
[0,9] |
$-\,3^{27}\cdot 1297^{2}$ |
$2$ |
$11.522961256$ |
|
|
not computed |
$C_3^3.(C_2^2\times A_4)$ (as 18T286) |
trivial |
$18$ |
$8$ |
$784.727413524$ |
| 18.0.129...896.1 |
x18 - 9x17 + 41x16 - 124x15 + 276x14 - 476x13 + 646x12 - 678x11 + 517x10 - 231x9 - 15x8 + 98x7 - 48x6 - 18x5 + 36x4 - 22x3 + 9x2 - 3x + 1 |
$18$ |
[0,9] |
$-\,2^{16}\cdot 11^{9}\cdot 17^{4}$ |
$3$ |
$11.5268768841$ |
|
|
not computed |
$C_3\wr C_3:C_2$ (as 18T88) |
trivial |
$2$ |
$8$ |
$113.075873428$ |
| 18.0.134...623.1 |
x18 - 6x17 + 15x16 - 23x15 + 37x14 - 78x13 + 152x12 - 240x11 + 302x10 - 308x9 + 300x8 - 298x7 + 220x6 - 85x5 + 25x4 - 26x3 + 12x2 + 1 |
$18$ |
[0,9] |
$-\,7^{15}\cdot 41^{4}$ |
$2$ |
$11.5516701463$ |
|
|
not computed |
$C_3^3:C_6$ (as 18T85) |
trivial |
$14$ |
$8$ |
$765.05787444$ |
| 18.0.135...707.1 |
x18 - 6x17 + 9x16 + 14x15 - 42x14 - 21x13 + 131x12 - 51x11 - 162x10 + 126x9 + 108x8 - 138x7 - 18x6 + 84x5 - 33x4 - 11x3 + 15x2 - 6x + 1 |
$18$ |
[0,9] |
$-\,3^{27}\cdot 11^{6}$ |
$2$ |
$11.5561395357$ |
|
|
not computed |
$S_3 \times C_6$ (as 18T6) |
trivial |
$18$ |
$8$ |
$835.1622079049273$ |
| 18.0.139...207.1 |
x18 - x17 + 4x15 - 5x14 + x13 + 6x12 - 9x11 + 7x10 + x9 - 12x8 + 11x7 - 2x6 - 5x5 + 6x4 - x3 - x2 - x + 1 |
$18$ |
[0,9] |
$-\,11^{4}\cdot 23^{11}$ |
$2$ |
$11.5767753983$ |
|
|
not computed |
$C_3^3.S_4$ (as 18T217) |
trivial |
$2$ |
$8$ |
$91.5286994248$ |
| 18.0.141...912.1 |
x18 - 7x17 + 29x16 - 86x15 + 204x14 - 403x13 + 684x12 - 1007x11 + 1301x10 - 1479x9 + 1488x8 - 1316x7 + 1016x6 - 673x5 + 378x4 - 171x3 + 58x2 - 10x + 1 |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{6}\cdot 7^{15}$ |
$3$ |
$11.5871185062$ |
|
|
not computed |
$S_3 \times C_6$ (as 18T6) |
trivial |
$14$ |
$8$ |
$720.4866908744744$ |
| 18.0.149...783.1 |
x18 - x17 - x16 + x15 + 3x14 + 2x13 - 5x12 + 4x11 + 5x10 + 5x9 + 6x8 - 4x7 + 8x6 - 5x5 + 5x4 + x3 + 2x2 - x + 1 |
$18$ |
[0,9] |
$-\,23^{9}\cdot 2879^{2}$ |
$2$ |
$11.6204809482$ |
|
|
not computed |
$C_3^3.S_4.C_2$ (as 18T319) |
trivial |
$2$ |
$8$ |
$92.6925275389$ |
| 18.2.153...696.1 |
x18 + 5x16 + 5x14 - 8x12 - 8x10 + 17x8 + 19x6 + x4 - 2x2 - 1 |
$18$ |
[2,8] |
$2^{18}\cdot 37^{6}\cdot 151^{2}$ |
$3$ |
$11.6378419101$ |
|
|
not computed |
18T483 |
trivial |
$2$ |
$9$ |
$139.095050977$ |
| 18.0.162...343.1 |
x18 - x17 - 5x16 + 9x15 + 2x14 - 32x13 + 37x12 + 40x11 - 100x10 + 31x9 + 83x8 - 97x7 + 27x6 + 18x5 - 15x4 + 5x2 - 3x + 1 |
$18$ |
[0,9] |
$-\,7^{15}\cdot 43^{4}$ |
$2$ |
$11.6745824541$ |
|
|
not computed |
$C_3^3:C_6$ (as 18T85) |
trivial |
$14$ |
$8$ |
$847.661854898$ |
