| Label |
Polynomial |
Degree |
Signature |
Discriminant |
Ram. prime count |
Root discriminant |
Galois root discriminant |
CM field |
Galois |
Monogenic |
Galois group |
Class group |
Unit group torsion |
Unit group rank |
Regulator |
| 18.14.110...176.1 |
$x^{18} - 16 x^{16} + 95 x^{14} - 253 x^{12} + 273 x^{10} - 10 x^{8} - 169 x^{6} + 89 x^{4} - 8 x^{2} - 1$ |
$18$ |
[14,2] |
$2^{12}\cdot 37^{4}\cdot 229^{6}$ |
$3$ |
$21.6664502136$ |
$616.3349549315699$ |
|
|
? |
$A_4^3.S_4$ (as 18T711) |
trivial |
$2$ |
$15$ |
$464591.509532$ |
| 18.14.125...184.1 |
$x^{18} - 5 x^{16} - 13 x^{14} + 139 x^{12} - 363 x^{10} + 412 x^{8} - 183 x^{6} + x^{4} + 11 x^{2} - 1$ |
$18$ |
[14,2] |
$2^{12}\cdot 7^{12}\cdot 53^{6}$ |
$3$ |
$21.8194591003$ |
$75.34971632639669$ |
|
|
? |
$C_2^4:(C_3\times S_4)$ (as 18T269) |
trivial |
$2$ |
$15$ |
$497280.565647$ |
| 18.14.154...089.1 |
$x^{18} - 2 x^{17} - 8 x^{16} + 21 x^{15} + 2 x^{14} - 62 x^{13} + 90 x^{12} + 20 x^{11} - 141 x^{10} + 98 x^{9} - 36 x^{8} - 104 x^{7} + 183 x^{6} + 32 x^{5} - 110 x^{4} - 2 x^{3} + 20 x^{2} - 1$ |
$18$ |
[14,2] |
$7^{12}\cdot 53^{6}\cdot 71^{2}$ |
$3$ |
$22.0725591149$ |
$224.473874393898$ |
|
|
? |
$C_2^4:(C_3\times S_4)$ (as 18T269) |
trivial |
$2$ |
$15$ |
$549171.539253$ |
| 18.14.182...576.1 |
$x^{18} - 11 x^{16} + 40 x^{14} - 50 x^{12} - x^{10} + 25 x^{8} + 23 x^{6} - 38 x^{4} + 13 x^{2} - 1$ |
$18$ |
[14,2] |
$2^{18}\cdot 2791^{2}\cdot 944497^{2}$ |
$3$ |
$22.2742646599$ |
|
|
|
? |
$C_2^8.S_9$ (as 18T964) |
trivial |
$2$ |
$15$ |
$607555.165186$ |
| 18.14.204...704.1 |
$x^{18} - 9 x^{16} + 32 x^{14} - 74 x^{12} + 152 x^{10} - 221 x^{8} + 180 x^{6} - 76 x^{4} + 15 x^{2} - 1$ |
$18$ |
[14,2] |
$2^{18}\cdot 23^{2}\cdot 5569^{2}\cdot 21817^{2}$ |
$4$ |
$22.4191371634$ |
|
|
|
? |
$C_2^8.S_9$ (as 18T964) |
trivial |
$2$ |
$15$ |
$658795.229984$ |
| 18.14.288...961.1 |
$x^{18} - 3 x^{17} - 15 x^{16} + 46 x^{15} + 74 x^{14} - 231 x^{13} - 192 x^{12} + 540 x^{11} + 331 x^{10} - 667 x^{9} - 403 x^{8} + 457 x^{7} + 333 x^{6} - 147 x^{5} - 160 x^{4} - 4 x^{3} + 30 x^{2} + 10 x + 1$ |
$18$ |
[14,2] |
$7^{12}\cdot 53^{6}\cdot 97^{2}$ |
$3$ |
$22.8512378877$ |
$262.3750263924331$ |
|
|
? |
$C_2^4:(A_4\times S_4)$ (as 18T463) |
trivial |
$2$ |
$15$ |
$756908.30993$ |
| 18.14.288...961.2 |
$x^{18} - x^{17} - 15 x^{16} + 4 x^{15} + 92 x^{14} + 35 x^{13} - 280 x^{12} - 255 x^{11} + 411 x^{10} + 603 x^{9} - 209 x^{8} - 649 x^{7} - 93 x^{6} + 331 x^{5} + 126 x^{4} - 70 x^{3} - 34 x^{2} + 3 x + 1$ |
$18$ |
[14,2] |
$7^{12}\cdot 53^{6}\cdot 97^{2}$ |
$3$ |
$22.8512378877$ |
$262.3750263924331$ |
|
|
? |
$C_2^4:(A_4\times S_4)$ (as 18T463) |
trivial |
$2$ |
$15$ |
$787920.206276$ |
| 18.14.307...529.1 |
$x^{18} - 9 x^{17} + 24 x^{16} + 12 x^{15} - 151 x^{14} + 133 x^{13} + 328 x^{12} - 499 x^{11} - 350 x^{10} + 771 x^{9} + 235 x^{8} - 655 x^{7} - 141 x^{6} + 322 x^{5} + 67 x^{4} - 81 x^{3} - 14 x^{2} + 7 x + 1$ |
$18$ |
[14,2] |
$41\cdot 641^{2}\cdot 1721\cdot 10306187^{2}$ |
$4$ |
$22.933531413$ |
$21590385.032263484$ |
|
|
✓ |
$C_2^9.S_9$ (as 18T968) |
trivial |
$2$ |
$15$ |
$799270.316799$ |
| 18.14.462...761.1 |
$x^{18} - 15 x^{16} - 15 x^{15} + 54 x^{14} + 114 x^{13} - 32 x^{12} - 327 x^{11} - 102 x^{10} + 457 x^{9} + 102 x^{8} - 327 x^{7} + 32 x^{6} + 114 x^{5} - 54 x^{4} - 15 x^{3} + 15 x^{2} - 1$ |
$18$ |
[14,2] |
$3^{24}\cdot 199^{2}\cdot 20341^{2}$ |
$3$ |
$23.4583696709$ |
$8705.111958789244$ |
|
|
? |
$S_4\wr C_3$ (as 18T703) |
trivial |
$2$ |
$15$ |
$1134548.71484$ |
| 18.14.528...992.1 |
$x^{18} - 3 x^{17} - 4 x^{16} + 9 x^{15} - 25 x^{14} + 11 x^{13} + 105 x^{12} + 58 x^{11} - 71 x^{10} - 273 x^{9} - 220 x^{8} + 252 x^{7} + 374 x^{6} + 3 x^{5} - 170 x^{4} - 64 x^{3} + 9 x^{2} + 8 x + 1$ |
$18$ |
[14,2] |
$2^{12}\cdot 23^{2}\cdot 37^{9}\cdot 137^{2}$ |
$4$ |
$23.6321924701$ |
$542.0155264272299$ |
|
|
? |
$S_3\wr S_3$ (as 18T319) |
trivial |
$2$ |
$15$ |
$1067608.94817$ |
| 18.14.657...481.1 |
$x^{18} - 3 x^{17} - 14 x^{16} + 47 x^{15} + 79 x^{14} - 321 x^{13} - 234 x^{12} + 1356 x^{11} + 76 x^{10} - 3435 x^{9} + 1672 x^{8} + 4094 x^{7} - 3619 x^{6} - 1450 x^{5} + 2070 x^{4} - 70 x^{3} - 260 x^{2} + 11 x + 1$ |
$18$ |
[14,2] |
$19^{16}\cdot 151^{2}$ |
$2$ |
$23.9209496652$ |
$168.3287665780357$ |
|
|
? |
$C_2^6:C_9$ (as 18T177) |
trivial |
$2$ |
$15$ |
$1263648.42707$ |
| 18.14.666...792.1 |
$x^{18} - 13 x^{16} - 6 x^{15} + 65 x^{14} + 40 x^{13} - 140 x^{12} - 98 x^{11} + 82 x^{10} + 120 x^{9} + 123 x^{8} - 78 x^{7} - 197 x^{6} + 24 x^{5} + 97 x^{4} - 2 x^{3} - 18 x^{2} + 1$ |
$18$ |
[14,2] |
$2^{18}\cdot 37^{7}\cdot 16361^{2}$ |
$3$ |
$23.937969844$ |
|
|
|
? |
$S_4^3.S_4$ (as 18T884) |
trivial |
$2$ |
$15$ |
$1367221.05076$ |
| 18.14.666...792.2 |
$x^{18} - 2 x^{17} - 16 x^{16} + 34 x^{15} + 65 x^{14} - 104 x^{13} - 173 x^{12} + 22 x^{11} + 325 x^{10} + 354 x^{9} - 242 x^{8} - 556 x^{7} - 72 x^{6} + 254 x^{5} + 65 x^{4} - 64 x^{3} - 7 x^{2} + 8 x - 1$ |
$18$ |
[14,2] |
$2^{18}\cdot 37^{7}\cdot 16361^{2}$ |
$3$ |
$23.937969844$ |
|
|
|
? |
$S_4^3.S_4$ (as 18T884) |
trivial |
$2$ |
$15$ |
$1361553.83896$ |
| 18.14.698...568.1 |
$x^{18} - 4 x^{17} - 7 x^{16} + 30 x^{15} - 69 x^{13} + 86 x^{12} + 46 x^{11} - 202 x^{10} - 31 x^{9} + 157 x^{8} + 148 x^{7} - 29 x^{6} - 187 x^{5} - 3 x^{4} + 77 x^{3} - 4 x^{2} - 9 x + 1$ |
$18$ |
[14,2] |
$2^{12}\cdot 37^{9}\cdot 3623^{2}$ |
$3$ |
$24.0015651391$ |
$581.1947636712803$ |
|
|
? |
$S_3\wr S_3$ (as 18T319) |
trivial |
$2$ |
$15$ |
$1255989.94793$ |
| 18.14.101...104.1 |
$x^{18} - 12 x^{16} + 54 x^{14} - 117 x^{12} + 134 x^{10} - 99 x^{8} + 73 x^{6} - 44 x^{4} + 12 x^{2} - 1$ |
$18$ |
[14,2] |
$2^{18}\cdot 7^{12}\cdot 52879^{2}$ |
$3$ |
$24.5040537923$ |
|
|
|
? |
$S_4\wr C_3$ (as 18T703) |
trivial |
$2$ |
$15$ |
$1641267.39481$ |
| 18.14.115...424.1 |
$x^{18} - 10 x^{16} + 29 x^{14} - 7 x^{12} - 77 x^{10} + 72 x^{8} + 26 x^{6} - 45 x^{4} + 13 x^{2} - 1$ |
$18$ |
[14,2] |
$2^{24}\cdot 37^{6}\cdot 16361^{2}$ |
$3$ |
$24.6779073517$ |
|
|
|
? |
$S_4^3.S_4$ (as 18T883) |
trivial |
$2$ |
$15$ |
$1923546.69587$ |
| 18.14.115...424.2 |
$x^{18} - 8 x^{16} + 13 x^{14} + 29 x^{12} - 85 x^{10} + 30 x^{8} + 58 x^{6} - 51 x^{4} + 13 x^{2} - 1$ |
$18$ |
[14,2] |
$2^{24}\cdot 37^{6}\cdot 16361^{2}$ |
$3$ |
$24.6779073517$ |
|
|
|
? |
$S_4^3.S_4$ (as 18T883) |
trivial |
$2$ |
$15$ |
$1828417.55183$ |
| 18.14.115...424.3 |
$x^{18} - 4 x^{16} - 21 x^{14} + 81 x^{12} + 51 x^{10} - 374 x^{8} + 400 x^{6} - 155 x^{4} + 23 x^{2} - 1$ |
$18$ |
[14,2] |
$2^{24}\cdot 37^{6}\cdot 16361^{2}$ |
$3$ |
$24.6779073517$ |
|
|
|
? |
$A_4^3.(C_2\times S_4)$ (as 18T776) |
trivial |
$2$ |
$15$ |
$1813150.50841$ |
| 18.14.126...816.1 |
$x^{18} - 5 x^{17} - 6 x^{16} + 62 x^{15} - 49 x^{14} - 199 x^{13} + 362 x^{12} + 75 x^{11} - 652 x^{10} + 313 x^{9} + 492 x^{8} - 341 x^{7} - 252 x^{6} + 157 x^{5} + 89 x^{4} - 36 x^{3} - 16 x^{2} + 3 x + 1$ |
$18$ |
[14,2] |
$2^{12}\cdot 37^{6}\cdot 67^{2}\cdot 16361^{2}$ |
$4$ |
$24.8038368433$ |
$10109.504024340771$ |
|
|
? |
$A_4^3.(C_2\times S_4)$ (as 18T776) |
trivial |
$2$ |
$15$ |
$2003580.16437$ |
| 18.14.135...125.1 |
$x^{18} - 2 x^{17} - 10 x^{16} + 8 x^{15} + 29 x^{14} + 46 x^{13} + 23 x^{12} - 231 x^{11} - 237 x^{10} + 224 x^{9} + 201 x^{8} - 78 x^{7} + 19 x^{6} + 17 x^{5} - 64 x^{4} - 4 x^{3} + 18 x^{2} - 1$ |
$18$ |
[14,2] |
$5^{9}\cdot 2791^{2}\cdot 944497^{2}$ |
$3$ |
$24.9033849642$ |
$114806.16549210239$ |
|
|
? |
$C_2\times S_9$ (as 18T913) |
trivial |
$2$ |
$15$ |
$1758638.89565$ |
| 18.14.146...693.1 |
$x^{18} - 5 x^{17} - 2 x^{16} + 33 x^{15} + 15 x^{14} - 104 x^{13} - 297 x^{12} + 691 x^{11} + 676 x^{10} - 2335 x^{9} + 1040 x^{8} + 1412 x^{7} - 1939 x^{6} + 962 x^{5} + 320 x^{4} - 738 x^{3} + 262 x^{2} + 8 x - 1$ |
$18$ |
[14,2] |
$19^{16}\cdot 37^{3}$ |
$2$ |
$25.005573617$ |
$83.32411881951172$ |
|
|
? |
$C_2\wr C_9$ (as 18T460) |
trivial |
$2$ |
$15$ |
$1860114.96425$ |
| 18.14.160...376.1 |
$x^{18} - 15 x^{16} + 84 x^{14} - 206 x^{12} + 141 x^{10} + 291 x^{8} - 545 x^{6} + 219 x^{4} + 39 x^{2} - 1$ |
$18$ |
[14,2] |
$2^{12}\cdot 3^{24}\cdot 7^{12}$ |
$3$ |
$25.1331561847$ |
$53.25530284495818$ |
|
|
? |
$C_2^2:A_4^2$ (as 18T178) |
trivial |
$2$ |
$15$ |
$2294212.74488$ |
| 18.14.239...621.1 |
$x^{18} - 9 x^{17} + 23 x^{16} + 20 x^{15} - 173 x^{14} + 147 x^{13} + 383 x^{12} - 647 x^{11} - 244 x^{10} + 978 x^{9} - 198 x^{8} - 649 x^{7} + 330 x^{6} + 166 x^{5} - 143 x^{4} - 4 x^{3} + 21 x^{2} - 2 x - 1$ |
$18$ |
[14,2] |
$7^{12}\cdot 13\cdot 41\cdot 113\cdot 169457^{2}$ |
$5$ |
$25.7010025336$ |
$369684.52925466915$ |
|
|
✓ |
$C_2\times S_4^3.A_4$ (as 18T879) |
trivial |
$2$ |
$15$ |
$2516121.61976$ |
| 18.14.245...856.1 |
$x^{18} - 11 x^{16} + 45 x^{14} - 80 x^{12} + 40 x^{10} + 54 x^{8} - 69 x^{6} + 17 x^{4} + 3 x^{2} - 1$ |
$18$ |
[14,2] |
$2^{18}\cdot 9685993193^{2}$ |
$2$ |
$25.7395866867$ |
|
|
|
✓ |
$C_2^8.S_9$ (as 18T964) |
trivial |
$2$ |
$15$ |
$2533950.03279$ |
| 18.14.250...856.1 |
$x^{18} - 15 x^{16} + 105 x^{14} - 437 x^{12} + 1129 x^{10} - 1753 x^{8} + 1488 x^{6} - 554 x^{4} + 45 x^{2} - 1$ |
$18$ |
[14,2] |
$2^{30}\cdot 3^{4}\cdot 257^{6}$ |
$3$ |
$25.7664534859$ |
$132.08231715651607$ |
|
|
? |
$S_3^3:S_4$ (as 18T483) |
trivial |
$2$ |
$15$ |
$2957488.50897$ |
| 18.14.363...104.1 |
$x^{18} - 9 x^{16} + 27 x^{14} - 23 x^{12} - 29 x^{10} + 54 x^{8} - 8 x^{6} - 20 x^{4} + 9 x^{2} - 1$ |
$18$ |
[14,2] |
$2^{18}\cdot 11779563529^{2}$ |
$2$ |
$26.3053661419$ |
|
|
|
✓ |
$C_2^8.S_9$ (as 18T964) |
trivial |
$2$ |
$15$ |
$3222522.66711$ |
| 18.14.409...512.1 |
$x^{18} - 3 x^{17} - 7 x^{16} + 41 x^{15} - 41 x^{14} - 183 x^{13} + 425 x^{12} + 180 x^{11} - 989 x^{10} + 557 x^{9} + 389 x^{8} - 1221 x^{7} + 568 x^{6} + 1110 x^{5} - 312 x^{4} - 475 x^{3} - 95 x^{2} + x + 1$ |
$18$ |
[14,2] |
$2^{12}\cdot 37^{5}\cdot 229^{6}$ |
$3$ |
$26.4795183509$ |
$1174.892490151719$ |
|
|
? |
$C_2\times A_4^3.S_4$ (as 18T764) |
trivial |
$2$ |
$15$ |
$3683925.08214$ |
| 18.14.409...512.2 |
$x^{18} - 14 x^{16} + 46 x^{14} + 104 x^{12} - 753 x^{10} + 947 x^{8} + 336 x^{6} - 1221 x^{4} + 592 x^{2} - 37$ |
$18$ |
[14,2] |
$2^{12}\cdot 37^{5}\cdot 229^{6}$ |
$3$ |
$26.4795183509$ |
$1031.7037370176608$ |
|
|
? |
$C_2\times A_4^3.S_4$ (as 18T764) |
trivial |
$2$ |
$15$ |
$3079401.65701$ |
| 18.14.470...192.1 |
$x^{18} - 14 x^{16} + 56 x^{14} - 36 x^{12} - 175 x^{10} + 144 x^{8} + 462 x^{6} - 738 x^{4} + 322 x^{2} - 23$ |
$18$ |
[14,2] |
$2^{18}\cdot 23^{3}\cdot 5569^{2}\cdot 21817^{2}$ |
$4$ |
$26.6851986731$ |
|
|
|
? |
$C_2^9.S_9$ (as 18T968) |
trivial |
$2$ |
$15$ |
$3258130.1491$ |
| 18.14.651...329.1 |
$x^{18} - 3 x^{17} - 9 x^{16} + 42 x^{15} - 9 x^{14} - 174 x^{13} + 244 x^{12} + 207 x^{11} - 702 x^{10} + 152 x^{9} + 813 x^{8} - 489 x^{7} - 397 x^{6} + 342 x^{5} + 54 x^{4} - 84 x^{3} + 6 x^{2} + 6 x - 1$ |
$18$ |
[14,2] |
$3^{24}\cdot 15189497^{2}$ |
$2$ |
$27.1713326101$ |
$16862.942889957223$ |
|
|
? |
$S_4\wr C_3$ (as 18T703) |
trivial |
$2$ |
$15$ |
$4763835.7469$ |
| 18.14.691...864.1 |
$x^{18} - 9 x^{16} + 25 x^{14} - 11 x^{12} - 50 x^{10} + 57 x^{8} + 13 x^{6} - 36 x^{4} + 12 x^{2} - 1$ |
$18$ |
[14,2] |
$2^{18}\cdot 7^{12}\cdot 138041^{2}$ |
$3$ |
$27.2609320184$ |
|
|
|
✓ |
$S_4^3.A_4$ (as 18T838) |
trivial |
$2$ |
$15$ |
$4183746.84945$ |
| 18.14.708...264.1 |
$x^{18} - 12 x^{16} + 47 x^{14} - 59 x^{12} - 53 x^{10} + 198 x^{8} - 168 x^{6} + 49 x^{4} - x^{2} - 1$ |
$18$ |
[14,2] |
$2^{18}\cdot 37^{4}\cdot 229^{6}$ |
$3$ |
$27.2980167006$ |
|
|
|
? |
$A_4\wr S_3$ (as 18T566) |
trivial |
$2$ |
$15$ |
$4420455.70756$ |
| 18.14.708...264.2 |
$x^{18} - 5 x^{16} - 7 x^{14} + 65 x^{12} - 76 x^{10} - 37 x^{8} + 105 x^{6} - 59 x^{4} + 13 x^{2} - 1$ |
$18$ |
[14,2] |
$2^{18}\cdot 37^{4}\cdot 229^{6}$ |
$3$ |
$27.2980167006$ |
$475.2592197863912$ |
|
|
? |
$A_4\wr S_3$ (as 18T566) |
trivial |
$2$ |
$15$ |
$4594087.80397$ |
| 18.14.708...264.3 |
$x^{18} - 13 x^{16} + 47 x^{14} - 30 x^{12} - 95 x^{10} + 120 x^{8} + 25 x^{6} - 76 x^{4} + 23 x^{2} - 1$ |
$18$ |
[14,2] |
$2^{18}\cdot 37^{4}\cdot 229^{6}$ |
$3$ |
$27.2980167006$ |
|
|
|
? |
$A_4^3.S_4$ (as 18T711) |
trivial |
$2$ |
$15$ |
$4319551.46104$ |
| 18.14.708...264.4 |
$x^{18} - 6 x^{16} + 5 x^{14} + 35 x^{12} - 88 x^{10} + 52 x^{8} + 36 x^{6} - 46 x^{4} + 13 x^{2} - 1$ |
$18$ |
[14,2] |
$2^{18}\cdot 37^{4}\cdot 229^{6}$ |
$3$ |
$27.2980167006$ |
|
|
|
✓ |
$A_4^3.S_4$ (as 18T711) |
trivial |
$2$ |
$15$ |
$4596460.1775$ |
| 18.14.708...264.5 |
$x^{18} - 11 x^{16} + 34 x^{14} + 16 x^{12} - 255 x^{10} + 452 x^{8} - 290 x^{6} + 35 x^{4} + 18 x^{2} - 1$ |
$18$ |
[14,2] |
$2^{18}\cdot 37^{4}\cdot 229^{6}$ |
$3$ |
$27.2980167006$ |
|
|
|
? |
$A_4^3.S_4$ (as 18T711) |
trivial |
$2$ |
$15$ |
$4473861.59964$ |
| 18.14.710...728.1 |
$x^{18} - 12 x^{16} + 70 x^{14} - 261 x^{12} + 637 x^{10} - 972 x^{8} + 874 x^{6} - 427 x^{4} + 98 x^{2} - 7$ |
$18$ |
[14,2] |
$2^{18}\cdot 7^{13}\cdot 52879^{2}$ |
$3$ |
$27.3015829538$ |
|
|
|
? |
$S_4^3.C_6$ (as 18T768) |
trivial |
$2$ |
$15$ |
$4750220.74631$ |
| 18.14.710...728.2 |
$x^{18} - 3 x^{16} - 33 x^{14} + 120 x^{12} + 193 x^{10} - 1167 x^{8} + 1499 x^{6} - 728 x^{4} + 126 x^{2} - 7$ |
$18$ |
[14,2] |
$2^{18}\cdot 7^{13}\cdot 52879^{2}$ |
$3$ |
$27.3015829538$ |
|
|
|
? |
$S_4^3.C_6$ (as 18T768) |
trivial |
$2$ |
$15$ |
$4752099.78188$ |
| 18.14.755...125.1 |
$x^{18} - 2 x^{17} - 19 x^{16} + 38 x^{15} + 118 x^{14} - 245 x^{13} - 329 x^{12} + 701 x^{11} + 606 x^{10} - 970 x^{9} - 800 x^{8} + 626 x^{7} + 622 x^{6} - 136 x^{5} - 224 x^{4} - 14 x^{3} + 25 x^{2} + 2 x - 1$ |
$18$ |
[14,2] |
$5^{9}\cdot 7^{12}\cdot 52879^{2}$ |
$3$ |
$27.396365002$ |
$1881.5913691563694$ |
|
|
? |
$S_3^3:C_6$ (as 18T286) |
trivial |
$2$ |
$15$ |
$4481033.63861$ |
| 18.14.756...064.1 |
$x^{18} - 7 x^{16} + 7 x^{14} + 45 x^{12} - 100 x^{10} - 13 x^{8} + 170 x^{6} - 139 x^{4} + 36 x^{2} - 1$ |
$18$ |
[14,2] |
$2^{18}\cdot 19^{16}$ |
$2$ |
$27.3968015041$ |
$53.61948908490599$ |
|
|
? |
$C_2^6:C_9$ (as 18T177) |
trivial |
$2$ |
$15$ |
$4500826.05302$ |
| 18.14.756...064.2 |
$x^{18} - 9 x^{16} + 17 x^{14} + 49 x^{12} - 178 x^{10} + 83 x^{8} + 160 x^{6} - 131 x^{4} + 28 x^{2} - 1$ |
$18$ |
[14,2] |
$2^{18}\cdot 19^{16}$ |
$2$ |
$27.3968015041$ |
|
|
|
? |
$C_2^8:C_9$ (as 18T368) |
trivial |
$2$ |
$15$ |
$4692013.12703$ |
| 18.14.756...064.3 |
$x^{18} - 7 x^{16} + 7 x^{14} + 45 x^{12} - 119 x^{10} + 63 x^{8} + 75 x^{6} - 82 x^{4} + 17 x^{2} - 1$ |
$18$ |
[14,2] |
$2^{18}\cdot 19^{16}$ |
$2$ |
$27.3968015041$ |
|
|
|
? |
$C_2^8:C_9$ (as 18T368) |
trivial |
$2$ |
$15$ |
$4505742.50348$ |
| 18.14.804...776.1 |
$x^{18} - 10 x^{16} + 32 x^{14} - 20 x^{12} - 86 x^{10} + 172 x^{8} - 101 x^{6} + 6 x^{4} + 8 x^{2} - 1$ |
$18$ |
[14,2] |
$2^{18}\cdot 7^{12}\cdot 53^{6}$ |
$3$ |
$27.4907958178$ |
$97.71649256380418$ |
|
|
? |
$C_2^4:(S_3\times A_4)$ (as 18T268) |
trivial |
$2$ |
$15$ |
$4878389.12043$ |
| 18.14.804...776.2 |
$x^{18} - 7 x^{16} + 3 x^{14} + 46 x^{12} - 67 x^{10} - 41 x^{8} + 130 x^{6} - 80 x^{4} + 17 x^{2} - 1$ |
$18$ |
[14,2] |
$2^{18}\cdot 7^{12}\cdot 53^{6}$ |
$3$ |
$27.4907958178$ |
$75.34971632639669$ |
|
|
? |
$C_2^4:(S_3\times A_4)$ (as 18T268) |
trivial |
$2$ |
$15$ |
$4908593.61642$ |
| 18.14.804...776.3 |
$x^{18} - x^{16} - 22 x^{14} + 62 x^{12} - 8 x^{10} - 144 x^{8} + 185 x^{6} - 91 x^{4} + 18 x^{2} - 1$ |
$18$ |
[14,2] |
$2^{18}\cdot 7^{12}\cdot 53^{6}$ |
$3$ |
$27.4907958178$ |
|
|
|
? |
$C_2^4:(A_4\times S_4)$ (as 18T463) |
trivial |
$2$ |
$15$ |
$4870284.45553$ |
| 18.14.804...776.4 |
$x^{18} - 13 x^{16} + 65 x^{14} - 146 x^{12} + 87 x^{10} + 240 x^{8} - 507 x^{6} + 362 x^{4} - 87 x^{2} - 1$ |
$18$ |
[14,2] |
$2^{18}\cdot 7^{12}\cdot 53^{6}$ |
$3$ |
$27.4907958178$ |
|
|
|
✓ |
$C_2^4:(A_4\times S_4)$ (as 18T463) |
trivial |
$2$ |
$15$ |
$4887748.6743$ |
| 18.14.815...176.1 |
$x^{18} - 16 x^{16} + 92 x^{14} - 217 x^{12} + 112 x^{10} + 273 x^{8} - 232 x^{6} - 103 x^{4} + 27 x^{2} - 1$ |
$18$ |
[14,2] |
$2^{18}\cdot 19^{6}\cdot 137^{6}$ |
$3$ |
$27.5119507287$ |
$171.60880869832215$ |
|
|
|
$C_2^8.\SOPlus(4,2)$ (as 18T630) |
trivial |
$2$ |
$15$ |
$6508316.27414$ |
| 18.14.881...049.1 |
$x^{18} - 9 x^{17} + 24 x^{16} + 12 x^{15} - 158 x^{14} + 182 x^{13} + 237 x^{12} - 590 x^{11} + 78 x^{10} + 633 x^{9} - 417 x^{8} - 222 x^{7} + 311 x^{6} - 26 x^{5} - 86 x^{4} + 24 x^{3} + 10 x^{2} - 4 x - 1$ |
$18$ |
[14,2] |
$7^{12}\cdot 53^{6}\cdot 287281$ |
$3$ |
$27.6309991173$ |
$14278.746392340992$ |
|
|
✓ |
$C_2^5.(A_4\times S_4)$ (as 18T544) |
trivial |
$2$ |
$15$ |
$5605712.54201$ |
| 18.14.104...456.1 |
$x^{18} - 7 x^{16} + x^{14} + 85 x^{12} - 226 x^{10} + 220 x^{8} - 66 x^{6} - 17 x^{4} + 11 x^{2} - 1$ |
$18$ |
[14,2] |
$2^{18}\cdot 7^{12}\cdot 169457^{2}$ |
$3$ |
$27.889151509$ |
|
|
|
? |
$S_4\wr C_3$ (as 18T703) |
trivial |
$2$ |
$15$ |
$5613487.69702$ |
| 18.14.104...456.2 |
$x^{18} - 4 x^{16} - 16 x^{14} + 69 x^{12} + 3 x^{10} - 232 x^{8} + 290 x^{6} - 133 x^{4} + 22 x^{2} - 1$ |
$18$ |
[14,2] |
$2^{18}\cdot 7^{12}\cdot 169457^{2}$ |
$3$ |
$27.889151509$ |
|
|
|
? |
$S_4^3.A_4$ (as 18T838) |
trivial |
$2$ |
$15$ |
$5324209.8837$ |
