| 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 |
| 18.0.105...387.1 |
$x^{18} - 4 x^{15} + 27 x^{12} + 42 x^{9} + 125 x^{6} - 11 x^{3} + 1$ |
$18$ |
[0,9] |
$-\,3^{27}\cdot 7^{12}$ |
$2$ |
$19.0143102306$ |
$19.014310230560074$ |
✓ |
✓ |
? |
$C_6 \times C_3$ (as 18T2) |
trivial |
$18$ |
$8$ |
$54408.4888887$ |
| 18.0.134...583.1 |
$x^{18} + 3 x^{16} - x^{15} + 9 x^{14} - 6 x^{13} + 28 x^{12} + 36 x^{11} + 90 x^{10} + 80 x^{9} + 234 x^{8} + 150 x^{7} + 622 x^{6} + 216 x^{5} + 75 x^{4} + 26 x^{3} + 9 x^{2} + 3 x + 1$ |
$18$ |
[0,9] |
$-\,3^{24}\cdot 7^{15}$ |
$2$ |
$21.8982817704$ |
$21.898281770364438$ |
✓ |
✓ |
|
$C_6 \times C_3$ (as 18T2) |
$[7]$ |
$14$ |
$8$ |
$54408.4888887$ |
| 18.18.362...741.1 |
$x^{18} - 18 x^{16} - x^{15} + 135 x^{14} + 15 x^{13} - 546 x^{12} - 90 x^{11} + 1287 x^{10} + 276 x^{9} - 1782 x^{8} - 459 x^{7} + 1385 x^{6} + 405 x^{5} - 534 x^{4} - 170 x^{3} + 72 x^{2} + 24 x + 1$ |
$18$ |
[18,0] |
$3^{27}\cdot 7^{15}$ |
$2$ |
$26.2984558329$ |
$26.298455832887633$ |
|
✓ |
✓ |
$C_6 \times C_3$ (as 18T2) |
trivial |
$2$ |
$17$ |
$6228406.91508$ |
| 18.0.110...583.1 |
$x^{18} - x^{17} + 5 x^{16} - 10 x^{15} + 31 x^{14} - 76 x^{13} + 210 x^{12} + 366 x^{11} + 550 x^{10} + 704 x^{9} + 1130 x^{8} + 1136 x^{7} + 2680 x^{6} + 734 x^{5} + 201 x^{4} + 55 x^{3} + 15 x^{2} + 4 x + 1$ |
$18$ |
[0,9] |
$-\,7^{15}\cdot 13^{12}$ |
$2$ |
$27.9819043822$ |
$27.981904382200295$ |
✓ |
✓ |
|
$C_6 \times C_3$ (as 18T2) |
$[13]$ |
$14$ |
$8$ |
$205236.825908$ |
| 18.0.177...747.1 |
$x^{18} - 16 x^{15} + 305 x^{12} + 786 x^{9} + 2385 x^{6} + 49 x^{3} + 1$ |
$18$ |
[0,9] |
$-\,3^{27}\cdot 13^{12}$ |
$2$ |
$28.7283566427$ |
$28.72835664269688$ |
✓ |
✓ |
? |
$C_6 \times C_3$ (as 18T2) |
$[7]$ |
$18$ |
$8$ |
$400417.136445$ |
| 18.18.708...157.1 |
$x^{18} - x^{17} - 27 x^{16} + 22 x^{15} + 269 x^{14} - 180 x^{13} - 1259 x^{12} + 711 x^{11} + 2914 x^{10} - 1420 x^{9} - 3300 x^{8} + 1287 x^{7} + 1831 x^{6} - 522 x^{5} - 466 x^{4} + 89 x^{3} + 45 x^{2} - 6 x - 1$ |
$18$ |
[18,0] |
$7^{12}\cdot 13^{15}$ |
$2$ |
$31.0230733917$ |
$31.02307339173177$ |
|
✓ |
? |
$C_6 \times C_3$ (as 18T2) |
trivial |
$2$ |
$17$ |
$37124865.5559$ |
| 18.0.102...064.1 |
$x^{18} + 30 x^{16} + 333 x^{14} + 1712 x^{12} + 4164 x^{10} + 4500 x^{8} + 2316 x^{6} + 561 x^{4} + 54 x^{2} + 1$ |
$18$ |
[0,9] |
$-\,2^{18}\cdot 3^{24}\cdot 7^{12}$ |
$3$ |
$31.6657925274$ |
$31.66579252742446$ |
✓ |
✓ |
|
$C_6 \times C_3$ (as 18T2) |
$[2, 14]$ |
$4$ |
$8$ |
$54408.4888887$ |
| 18.0.634...123.3 |
$x^{18} + 20 x^{16} - 16 x^{15} + 297 x^{14} - 206 x^{13} + 1810 x^{12} - 984 x^{11} + 7777 x^{10} - 2850 x^{9} + 15631 x^{8} + 1270 x^{7} + 19813 x^{6} - 328 x^{5} + 10076 x^{4} - 592 x^{3} + 3856 x^{2} - 480 x + 64$ |
$18$ |
[0,9] |
$-\,3^{9}\cdot 7^{12}\cdot 13^{12}$ |
$3$ |
$35.0419465007$ |
$35.04194650073235$ |
✓ |
✓ |
? |
$C_6 \times C_3$ (as 18T2) |
$[6, 6]$ |
$6$ |
$8$ |
$205236.825908$ |
| 18.18.763...125.1 |
$x^{18} - 3 x^{17} - 36 x^{16} + 89 x^{15} + 492 x^{14} - 996 x^{13} - 3347 x^{12} + 5340 x^{11} + 12252 x^{10} - 14385 x^{9} - 24138 x^{8} + 18921 x^{7} + 24296 x^{6} - 11088 x^{5} - 11091 x^{4} + 2893 x^{3} + 1902 x^{2} - 330 x - 71$ |
$18$ |
[18,0] |
$3^{24}\cdot 5^{9}\cdot 7^{12}$ |
$3$ |
$35.4034323264$ |
$35.40343232636298$ |
|
✓ |
? |
$C_6 \times C_3$ (as 18T2) |
trivial |
$2$ |
$17$ |
$103946990.673$ |
| 18.0.105...823.1 |
$x^{18} - x^{17} + 7 x^{16} - 6 x^{15} + 41 x^{14} - 28 x^{13} + 232 x^{12} - 406 x^{11} + 1602 x^{10} - 2414 x^{9} + 9184 x^{8} - 12454 x^{7} + 50660 x^{6} - 61096 x^{5} + 74137 x^{4} - 86093 x^{3} + 103243 x^{2} - 100842 x + 117649$ |
$18$ |
[0,9] |
$-\,7^{15}\cdot 19^{12}$ |
$2$ |
$36.0371773707$ |
$36.03717737065139$ |
✓ |
✓ |
|
$C_6 \times C_3$ (as 18T2) |
$[2, 26]$ |
$14$ |
$8$ |
$833965.243856$ |
| 18.18.144...117.1 |
$x^{18} - 33 x^{16} - 4 x^{15} + 405 x^{14} + 84 x^{13} - 2309 x^{12} - 612 x^{11} + 6234 x^{10} + 1828 x^{9} - 7416 x^{8} - 2424 x^{7} + 3492 x^{6} + 1089 x^{5} - 687 x^{4} - 177 x^{3} + 54 x^{2} + 9 x - 1$ |
$18$ |
[18,0] |
$3^{24}\cdot 13^{15}$ |
$2$ |
$36.6815602312$ |
$36.68156023118341$ |
|
✓ |
? |
$C_6 \times C_3$ (as 18T2) |
trivial |
$2$ |
$17$ |
$160069102.421$ |
| 18.0.168...907.4 |
$x^{18} - 2 x^{15} + 199 x^{12} + 1076 x^{9} + 37339 x^{6} + 66885 x^{3} + 117649$ |
$18$ |
[0,9] |
$-\,3^{27}\cdot 19^{12}$ |
$2$ |
$36.9985141025$ |
$36.99851410251981$ |
✓ |
✓ |
? |
$C_6 \times C_3$ (as 18T2) |
$[3, 3, 3]$ |
$18$ |
$8$ |
$1472619.0824$ |
| 18.18.276...728.1 |
$x^{18} - 30 x^{16} + 333 x^{14} - 1788 x^{12} + 5040 x^{10} - 7668 x^{8} + 6264 x^{6} - 2619 x^{4} + 486 x^{2} - 27$ |
$18$ |
[18,0] |
$2^{18}\cdot 3^{27}\cdot 7^{12}$ |
$3$ |
$38.0286204611$ |
$38.02862046112015$ |
|
✓ |
|
$C_6 \times C_3$ (as 18T2) |
trivial |
$2$ |
$17$ |
$278806740.442$ |
| 18.0.845...064.1 |
$x^{18} + 40 x^{16} + 606 x^{14} + 4498 x^{12} + 17745 x^{10} + 37370 x^{8} + 40081 x^{6} + 20600 x^{4} + 4112 x^{2} + 64$ |
$18$ |
[0,9] |
$-\,2^{18}\cdot 7^{12}\cdot 13^{12}$ |
$3$ |
$40.4629544903$ |
$40.46295449025258$ |
✓ |
✓ |
|
$C_6 \times C_3$ (as 18T2) |
$[3, 6, 6]$ |
$4$ |
$8$ |
$205236.825908$ |
| 18.0.206...375.1 |
$x^{18} - 6 x^{17} + 21 x^{16} - 38 x^{15} + 72 x^{14} - 72 x^{13} + 82 x^{12} + 540 x^{11} - 123 x^{10} - 880 x^{9} + 17883 x^{8} - 34212 x^{7} + 79951 x^{6} - 92796 x^{5} + 178851 x^{4} - 124326 x^{3} + 112827 x^{2} - 54930 x + 114211$ |
$18$ |
[0,9] |
$-\,3^{27}\cdot 5^{9}\cdot 7^{12}$ |
$3$ |
$42.5172902208$ |
$42.517290220802025$ |
✓ |
✓ |
|
$C_6 \times C_3$ (as 18T2) |
$[2, 2, 74]$ |
$2$ |
$8$ |
$54408.4888887$ |
| 18.0.210...099.2 |
$x^{18} - 3 x^{17} - 5 x^{16} - 5 x^{15} + 91 x^{14} - 141 x^{13} + 296 x^{12} - 206 x^{11} - 380 x^{10} + 741 x^{9} - 6056 x^{8} + 5713 x^{7} + 28219 x^{6} - 55511 x^{5} + 37362 x^{4} - 23297 x^{3} + 22127 x^{2} - 2534 x + 3241$ |
$18$ |
[0,9] |
$-\,7^{12}\cdot 19^{15}$ |
$2$ |
$42.5624573566$ |
$42.56245735661763$ |
✓ |
✓ |
? |
$C_6 \times C_3$ (as 18T2) |
$[3, 3, 3]$ |
$2$ |
$8$ |
$833965.243856$ |
| 18.0.243...851.1 |
$x^{18} - x^{17} + 12 x^{16} - 17 x^{15} - 4 x^{14} - 76 x^{13} - 154 x^{12} - 82 x^{11} + 1159 x^{10} + 816 x^{9} + 3265 x^{8} + 3887 x^{7} + 3898 x^{6} + 8175 x^{5} + 5605 x^{4} + 2715 x^{3} + 10718 x^{2} + 4141 x + 9619$ |
$18$ |
[0,9] |
$-\,7^{15}\cdot 13^{15}$ |
$2$ |
$42.9076267033$ |
$42.90762670326212$ |
✓ |
✓ |
? |
$C_6 \times C_3$ (as 18T2) |
$[2, 2, 14]$ |
$2$ |
$8$ |
$205236.825908$ |
| 18.18.351...952.1 |
$x^{18} - 39 x^{16} - 6 x^{15} + 576 x^{14} + 132 x^{13} - 4060 x^{12} - 792 x^{11} + 14433 x^{10} + 494 x^{9} - 25785 x^{8} + 5016 x^{7} + 20201 x^{6} - 8406 x^{5} - 4209 x^{4} + 2802 x^{3} - 327 x^{2} - 24 x + 1$ |
$18$ |
[18,0] |
$2^{18}\cdot 3^{24}\cdot 7^{15}$ |
$3$ |
$43.7965635407$ |
$43.796563540728876$ |
|
✓ |
|
$C_6 \times C_3$ (as 18T2) |
trivial |
$2$ |
$17$ |
$875332910.208$ |
| 18.0.390...159.1 |
$x^{18} + 6 x^{16} - 4 x^{15} - 63 x^{14} - 72 x^{13} - 73 x^{12} - 27 x^{11} + 1437 x^{10} + 1854 x^{9} + 2412 x^{8} + 1515 x^{7} - 1266 x^{6} + 2025 x^{5} + 2784 x^{4} + 4789 x^{3} + 8946 x^{2} + 2232 x + 6616$ |
$18$ |
[0,9] |
$-\,3^{27}\cdot 13^{15}$ |
$2$ |
$44.0522412551$ |
$44.05224125514256$ |
✓ |
✓ |
|
$C_6 \times C_3$ (as 18T2) |
$[52]$ |
$2$ |
$8$ |
$400417.136445$ |
| 18.0.524...768.4 |
$x^{18} - 12 x^{16} - 8 x^{15} + 117 x^{14} + 96 x^{13} + 246 x^{12} + 438 x^{11} + 2376 x^{10} + 3532 x^{9} + 21948 x^{8} + 13782 x^{7} + 114732 x^{6} + 44268 x^{5} + 331017 x^{4} + 87920 x^{3} + 531078 x^{2} + 90444 x + 386513$ |
$18$ |
[0,9] |
$-\,2^{27}\cdot 3^{24}\cdot 7^{12}$ |
$3$ |
$44.7821932556$ |
$44.78219325557628$ |
✓ |
✓ |
|
$C_6 \times C_3$ (as 18T2) |
$[18, 18]$ |
$2$ |
$8$ |
$54408.4888887$ |
| 18.18.524...768.1 |
$x^{18} - 48 x^{16} - 8 x^{15} + 837 x^{14} + 192 x^{13} - 6966 x^{12} - 1866 x^{11} + 30984 x^{10} + 9044 x^{9} - 76548 x^{8} - 22602 x^{7} + 104332 x^{6} + 27684 x^{5} - 75591 x^{4} - 14864 x^{3} + 26814 x^{2} + 2700 x - 3527$ |
$18$ |
[18,0] |
$2^{27}\cdot 3^{24}\cdot 7^{12}$ |
$3$ |
$44.7821932556$ |
$44.78219325557628$ |
|
✓ |
|
$C_6 \times C_3$ (as 18T2) |
trivial |
$2$ |
$17$ |
$1222675333.26$ |
| 18.0.602...563.2 |
$x^{18} + 26 x^{16} - 28 x^{15} + 495 x^{14} - 518 x^{13} + 4312 x^{12} - 5250 x^{11} + 27163 x^{10} - 25326 x^{9} + 69607 x^{8} - 33026 x^{7} + 104749 x^{6} - 50344 x^{5} + 66332 x^{4} - 14224 x^{3} + 19600 x^{2} - 4704 x + 3136$ |
$18$ |
[0,9] |
$-\,3^{9}\cdot 7^{12}\cdot 19^{12}$ |
$3$ |
$45.1296246392$ |
$45.129624639238735$ |
✓ |
✓ |
? |
$C_6 \times C_3$ (as 18T2) |
$[6, 18]$ |
$6$ |
$8$ |
$833965.243856$ |
| 18.18.629...125.1 |
$x^{18} - 3 x^{17} - 44 x^{16} + 119 x^{15} + 709 x^{14} - 1665 x^{13} - 5490 x^{12} + 10595 x^{11} + 22609 x^{10} - 32862 x^{9} - 51161 x^{8} + 47600 x^{7} + 61756 x^{6} - 27278 x^{5} - 33166 x^{4} + 3653 x^{3} + 5802 x^{2} + 855 x - 1$ |
$18$ |
[18,0] |
$5^{9}\cdot 7^{12}\cdot 13^{12}$ |
$3$ |
$45.2389584053$ |
$45.23895840534255$ |
|
✓ |
? |
$C_6 \times C_3$ (as 18T2) |
trivial |
$2$ |
$17$ |
$774354039.422$ |
| 18.0.172...984.3 |
$x^{18} + 45 x^{16} + 738 x^{14} + 5996 x^{12} + 26937 x^{10} + 69201 x^{8} + 99645 x^{6} + 74337 x^{4} + 24555 x^{2} + 2809$ |
$18$ |
[0,9] |
$-\,2^{18}\cdot 3^{24}\cdot 13^{12}$ |
$3$ |
$47.8432385961$ |
$47.84323859612865$ |
✓ |
✓ |
|
$C_6 \times C_3$ (as 18T2) |
$[18, 18]$ |
$4$ |
$8$ |
$400417.136445$ |
| 18.18.217...189.1 |
$x^{18} - 3 x^{17} - 41 x^{16} + 97 x^{15} + 670 x^{14} - 1198 x^{13} - 5461 x^{12} + 7639 x^{11} + 23838 x^{10} - 28087 x^{9} - 55814 x^{8} + 60622 x^{7} + 64848 x^{6} - 71560 x^{5} - 28872 x^{4} + 37573 x^{3} + 369 x^{2} - 5041 x + 421$ |
$18$ |
[18,0] |
$3^{9}\cdot 7^{15}\cdot 13^{12}$ |
$3$ |
$48.4660800825$ |
$48.46608008250512$ |
|
✓ |
? |
$C_6 \times C_3$ (as 18T2) |
trivial |
$2$ |
$17$ |
$1812653375.94$ |
| 18.0.261...875.4 |
$x^{18} - 3 x^{17} + 9 x^{16} - 19 x^{15} + 117 x^{14} - 405 x^{13} + 1224 x^{12} - 2964 x^{11} + 8802 x^{10} - 23243 x^{9} + 65484 x^{8} - 120219 x^{7} + 236523 x^{6} - 297333 x^{5} + 474168 x^{4} - 443393 x^{3} + 726267 x^{2} - 729036 x + 1100051$ |
$18$ |
[0,9] |
$-\,3^{24}\cdot 5^{9}\cdot 7^{15}$ |
$3$ |
$48.966046629$ |
$48.96604662897932$ |
✓ |
✓ |
? |
$C_6 \times C_3$ (as 18T2) |
$[2, 18, 18]$ |
$2$ |
$8$ |
$54408.4888887$ |
| 18.0.373...623.1 |
$x^{18} - x^{17} + 11 x^{16} - 13 x^{15} + 115 x^{14} - 157 x^{13} + 1203 x^{12} - 270 x^{11} + 11044 x^{10} - 4120 x^{9} + 112400 x^{8} - 65248 x^{7} + 1156288 x^{6} - 909568 x^{5} + 715776 x^{4} - 561152 x^{3} + 442368 x^{2} - 327680 x + 262144$ |
$18$ |
[0,9] |
$-\,7^{15}\cdot 31^{12}$ |
$2$ |
$49.9447100144$ |
$49.94471001444876$ |
✓ |
✓ |
|
$C_6 \times C_3$ (as 18T2) |
$[259]$ |
$14$ |
$8$ |
$2999047.75971$ |
| 18.0.428...819.1 |
$x^{18} - 3 x^{17} - 9 x^{16} + 53 x^{15} - 138 x^{13} + 307 x^{12} - 975 x^{11} - 474 x^{10} + 1335 x^{9} - 3918 x^{8} + 18246 x^{7} + 44148 x^{6} - 5832 x^{5} - 17880 x^{4} + 21719 x^{3} + 16641 x^{2} - 15837 x + 11863$ |
$18$ |
[0,9] |
$-\,3^{24}\cdot 19^{15}$ |
$2$ |
$50.325682546$ |
$50.32568254601266$ |
✓ |
✓ |
? |
$C_6 \times C_3$ (as 18T2) |
$[2, 14]$ |
$2$ |
$8$ |
$1472619.0824$ |
| 18.0.600...107.1 |
$x^{18} - 7 x^{15} + 1097 x^{12} + 6312 x^{9} + 1101888 x^{6} - 536576 x^{3} + 262144$ |
$18$ |
[0,9] |
$-\,3^{27}\cdot 31^{12}$ |
$2$ |
$51.2770475559$ |
$51.27704755591527$ |
✓ |
✓ |
? |
$C_6 \times C_3$ (as 18T2) |
$[91]$ |
$18$ |
$8$ |
$4617140.62551$ |
| 18.0.803...984.1 |
$x^{18} + 52 x^{16} + 1038 x^{14} + 10198 x^{12} + 52581 x^{10} + 141146 x^{8} + 187993 x^{6} + 116984 x^{4} + 32144 x^{2} + 3136$ |
$18$ |
[0,9] |
$-\,2^{18}\cdot 7^{12}\cdot 19^{12}$ |
$3$ |
$52.1112018678$ |
$52.1112018677825$ |
✓ |
✓ |
|
$C_6 \times C_3$ (as 18T2) |
$[14, 14]$ |
$4$ |
$8$ |
$833965.243856$ |
| 18.0.921...571.4 |
$x^{18} - 9 x^{17} + 33 x^{16} - 52 x^{15} + 84 x^{14} - 540 x^{13} + 3178 x^{12} - 11892 x^{11} + 36576 x^{10} - 94398 x^{9} + 242916 x^{8} - 534324 x^{7} + 1183880 x^{6} - 2079090 x^{5} + 3606933 x^{4} - 4490689 x^{3} + 5618562 x^{2} - 3981963 x + 3180563$ |
$18$ |
[0,9] |
$-\,3^{24}\cdot 7^{12}\cdot 11^{9}$ |
$3$ |
$52.5117762514$ |
$52.51177625135337$ |
✓ |
✓ |
? |
$C_6 \times C_3$ (as 18T2) |
$[36, 36]$ |
$2$ |
$8$ |
$54408.4888887$ |
| 18.0.949...704.1 |
$x^{18} + 42 x^{16} + 693 x^{14} + 5880 x^{12} + 28224 x^{10} + 79380 x^{8} + 130536 x^{6} + 120393 x^{4} + 55566 x^{2} + 9261$ |
$18$ |
[0,9] |
$-\,2^{18}\cdot 3^{27}\cdot 7^{15}$ |
$3$ |
$52.5969116658$ |
$52.596911665775266$ |
✓ |
✓ |
|
$C_6 \times C_3$ (as 18T2) |
$[2, 2, 2, 182]$ |
$2$ |
$8$ |
$54408.4888887$ |
| 18.18.128...125.1 |
$x^{18} - 6 x^{17} - 36 x^{16} + 226 x^{15} + 483 x^{14} - 3231 x^{13} - 3224 x^{12} + 22752 x^{11} + 12312 x^{10} - 84569 x^{9} - 30768 x^{8} + 164055 x^{7} + 53034 x^{6} - 150630 x^{5} - 50556 x^{4} + 48055 x^{3} + 13995 x^{2} - 2403 x - 181$ |
$18$ |
[18,0] |
$3^{24}\cdot 5^{9}\cdot 13^{12}$ |
$3$ |
$53.4903668823$ |
$53.490366882342634$ |
|
✓ |
? |
$C_6 \times C_3$ (as 18T2) |
trivial |
$2$ |
$17$ |
$3649457632.69$ |
| 18.0.139...231.1 |
$x^{18} - 3 x^{17} + 13 x^{16} - 14 x^{15} + 49 x^{14} - 22 x^{13} - 184 x^{12} - 344 x^{11} + 2538 x^{10} - 15190 x^{9} + 54562 x^{8} - 33440 x^{7} + 69570 x^{6} - 112288 x^{5} + 224883 x^{4} - 115871 x^{3} + 162369 x^{2} - 11584 x + 215851$ |
$18$ |
[0,9] |
$-\,3^{9}\cdot 7^{12}\cdot 13^{15}$ |
$3$ |
$53.7335393214$ |
$53.73353932141756$ |
✓ |
✓ |
|
$C_6 \times C_3$ (as 18T2) |
$[2, 2, 2, 2, 76]$ |
$2$ |
$8$ |
$205236.825908$ |
| 18.0.141...736.4 |
$x^{18} - 6 x^{17} + 39 x^{16} - 146 x^{15} + 609 x^{14} - 1806 x^{13} + 5568 x^{12} - 12930 x^{11} + 30840 x^{10} - 58068 x^{9} + 121791 x^{8} - 196452 x^{7} + 321467 x^{6} - 380358 x^{5} + 651183 x^{4} - 775582 x^{3} + 1625814 x^{2} - 1190916 x + 1075033$ |
$18$ |
[0,9] |
$-\,2^{27}\cdot 3^{27}\cdot 7^{12}$ |
$3$ |
$53.7805908145$ |
$53.7805908144551$ |
✓ |
✓ |
|
$C_6 \times C_3$ (as 18T2) |
$[2, 18, 54]$ |
$2$ |
$8$ |
$54408.4888887$ |
| 18.18.141...736.1 |
$x^{18} - 6 x^{17} - 33 x^{16} + 238 x^{15} + 321 x^{14} - 3486 x^{13} - 360 x^{12} + 24222 x^{11} - 10056 x^{10} - 84708 x^{9} + 53535 x^{8} + 145404 x^{7} - 96853 x^{6} - 115686 x^{5} + 64119 x^{4} + 38114 x^{3} - 11610 x^{2} - 4596 x - 71$ |
$18$ |
[18,0] |
$2^{27}\cdot 3^{27}\cdot 7^{12}$ |
$3$ |
$53.7805908145$ |
$53.7805908144551$ |
|
✓ |
|
$C_6 \times C_3$ (as 18T2) |
trivial |
$2$ |
$17$ |
$6797133055.24$ |
| 18.18.289...952.1 |
$x^{18} - 6 x^{17} - 30 x^{16} + 206 x^{15} + 318 x^{14} - 2710 x^{13} - 1134 x^{12} + 17302 x^{11} - 3335 x^{10} - 56382 x^{9} + 35668 x^{8} + 85538 x^{7} - 89615 x^{6} - 36518 x^{5} + 75010 x^{4} - 18108 x^{3} - 11472 x^{2} + 5904 x - 664$ |
$18$ |
[18,0] |
$2^{18}\cdot 7^{15}\cdot 13^{12}$ |
$3$ |
$55.9638087644$ |
$55.96380876440059$ |
|
✓ |
|
$C_6 \times C_3$ (as 18T2) |
trivial |
$2$ |
$17$ |
$10619522376.9$ |
| 18.0.312...983.3 |
$x^{18} - x^{17} + 13 x^{16} - 36 x^{15} + 203 x^{14} - 778 x^{13} + 3610 x^{12} + 13802 x^{11} + 38076 x^{10} + 87838 x^{9} + 217252 x^{8} + 417968 x^{7} + 1222838 x^{6} + 1403006 x^{5} + 1597321 x^{4} + 1787533 x^{3} + 1947253 x^{2} + 1932612 x + 1771561$ |
$18$ |
[0,9] |
$-\,7^{15}\cdot 37^{12}$ |
$2$ |
$56.1973947638$ |
$56.197394763787415$ |
✓ |
✓ |
|
$C_6 \times C_3$ (as 18T2) |
$[9, 63]$ |
$14$ |
$8$ |
$5877099.24292$ |
| 18.18.414...013.1 |
$x^{18} - 9 x^{17} - 21 x^{16} + 364 x^{15} - 228 x^{14} - 5196 x^{13} + 8330 x^{12} + 32592 x^{11} - 68550 x^{10} - 100088 x^{9} + 245598 x^{8} + 159384 x^{7} - 413984 x^{6} - 153138 x^{5} + 299925 x^{4} + 107821 x^{3} - 61668 x^{2} - 26043 x - 953$ |
$18$ |
[18,0] |
$3^{24}\cdot 7^{12}\cdot 13^{9}$ |
$3$ |
$57.0863193179$ |
$57.08631931791666$ |
|
✓ |
? |
$C_6 \times C_3$ (as 18T2) |
trivial |
$2$ |
$17$ |
$7477366325.71$ |
| 18.0.432...768.1 |
$x^{18} - 6 x^{17} + 21 x^{16} - 66 x^{15} + 297 x^{14} - 742 x^{13} + 1346 x^{12} - 4058 x^{11} + 9676 x^{10} - 2428 x^{9} + 22175 x^{8} - 86316 x^{7} - 133405 x^{6} - 23318 x^{5} + 742493 x^{4} + 1890250 x^{3} + 3195846 x^{2} + 1805644 x + 966337$ |
$18$ |
[0,9] |
$-\,2^{27}\cdot 7^{12}\cdot 13^{12}$ |
$3$ |
$57.2232590138$ |
$57.223259013800515$ |
✓ |
✓ |
|
$C_6 \times C_3$ (as 18T2) |
$[4, 268]$ |
$2$ |
$8$ |
$205236.825908$ |
| 18.18.432...768.1 |
$x^{18} - 6 x^{17} - 39 x^{16} + 254 x^{15} + 537 x^{14} - 4062 x^{13} - 2802 x^{12} + 31254 x^{11} - 740 x^{10} - 121028 x^{9} + 55551 x^{8} + 220500 x^{7} - 168253 x^{6} - 144998 x^{5} + 152385 x^{4} + 11322 x^{3} - 40450 x^{2} + 10964 x - 727$ |
$18$ |
[18,0] |
$2^{27}\cdot 7^{12}\cdot 13^{12}$ |
$3$ |
$57.2232590138$ |
$57.223259013800515$ |
|
✓ |
|
$C_6 \times C_3$ (as 18T2) |
trivial |
$2$ |
$17$ |
$8169166181.92$ |
| 18.18.465...568.1 |
$x^{18} - 6 x^{17} - 27 x^{16} + 190 x^{15} + 252 x^{14} - 2292 x^{13} - 796 x^{12} + 13428 x^{11} - 1767 x^{10} - 40488 x^{9} + 17475 x^{8} + 60252 x^{7} - 39087 x^{6} - 37440 x^{5} + 32055 x^{4} + 5474 x^{3} - 8583 x^{2} + 1170 x + 181$ |
$18$ |
[18,0] |
$2^{18}\cdot 3^{27}\cdot 13^{12}$ |
$3$ |
$57.4567132854$ |
$57.45671328539376$ |
|
✓ |
|
$C_6 \times C_3$ (as 18T2) |
trivial |
$2$ |
$17$ |
$13132231958.4$ |
| 18.0.501...347.4 |
$x^{18} - 70 x^{15} + 5869 x^{12} + 70492 x^{9} + 845791 x^{6} + 1289739 x^{3} + 1771561$ |
$18$ |
[0,9] |
$-\,3^{27}\cdot 37^{12}$ |
$2$ |
$57.6965304832$ |
$57.696530483160835$ |
✓ |
✓ |
? |
$C_6 \times C_3$ (as 18T2) |
$[3, 3, 21]$ |
$18$ |
$8$ |
$8790607.76401$ |
| 18.18.598...125.1 |
$x^{18} - 3 x^{17} - 56 x^{16} + 195 x^{15} + 1057 x^{14} - 4277 x^{13} - 8360 x^{12} + 43035 x^{11} + 22847 x^{10} - 215160 x^{9} + 33211 x^{8} + 534308 x^{7} - 267164 x^{6} - 612584 x^{5} + 400750 x^{4} + 264347 x^{3} - 169876 x^{2} - 34901 x + 21211$ |
$18$ |
[18,0] |
$5^{9}\cdot 7^{12}\cdot 19^{12}$ |
$3$ |
$58.2620948828$ |
$58.26209488278784$ |
|
✓ |
? |
$C_6 \times C_3$ (as 18T2) |
trivial |
$2$ |
$17$ |
$7678869702.19$ |
| 18.18.707...625.1 |
$x^{18} - 60 x^{16} - x^{15} + 1458 x^{14} + 57 x^{13} - 18690 x^{12} - 1035 x^{11} + 137472 x^{10} + 8571 x^{9} - 588942 x^{8} - 37629 x^{7} + 1414748 x^{6} + 97803 x^{5} - 1705209 x^{4} - 152903 x^{3} + 775098 x^{2} + 83436 x - 2456$ |
$18$ |
[18,0] |
$3^{27}\cdot 5^{9}\cdot 7^{15}$ |
$3$ |
$58.8051349456$ |
$58.8051349456126$ |
|
✓ |
|
$C_6 \times C_3$ (as 18T2) |
$[2]$ |
$2$ |
$17$ |
$9362411700.9$ |
| 18.18.720...957.1 |
$x^{18} - x^{17} - 49 x^{16} + 50 x^{15} + 860 x^{14} - 903 x^{13} - 6901 x^{12} + 7833 x^{11} + 27250 x^{10} - 34628 x^{9} - 51037 x^{8} + 77678 x^{7} + 32656 x^{6} - 79772 x^{5} + 14070 x^{4} + 24745 x^{3} - 14301 x^{2} + 2835 x - 189$ |
$18$ |
[18,0] |
$7^{15}\cdot 19^{15}$ |
$2$ |
$58.867605049$ |
$58.867605049021115$ |
|
✓ |
? |
$C_6 \times C_3$ (as 18T2) |
trivial |
$2$ |
$17$ |
$15523352898.4$ |
| 18.18.113...877.1 |
$x^{18} - 3 x^{17} - 50 x^{16} + 169 x^{15} + 874 x^{14} - 3458 x^{13} - 5979 x^{12} + 31684 x^{11} + 8426 x^{10} - 131047 x^{9} + 53306 x^{8} + 228127 x^{7} - 156694 x^{6} - 157898 x^{5} + 123595 x^{4} + 40177 x^{3} - 33502 x^{2} - 1654 x + 2053$ |
$18$ |
[18,0] |
$13^{15}\cdot 19^{12}$ |
$2$ |
$60.3654618269$ |
$60.36546182688879$ |
|
✓ |
? |
$C_6 \times C_3$ (as 18T2) |
trivial |
$2$ |
$17$ |
$12940318365.3$ |
| 18.18.115...113.1 |
$x^{18} - 48 x^{16} - 29 x^{15} + 846 x^{14} + 951 x^{13} - 6620 x^{12} - 10485 x^{11} + 22968 x^{10} + 50441 x^{9} - 25074 x^{8} - 108969 x^{7} - 30650 x^{6} + 88605 x^{5} + 66801 x^{4} - 5847 x^{3} - 16344 x^{2} - 1932 x + 856$ |
$18$ |
[18,0] |
$3^{27}\cdot 19^{15}$ |
$2$ |
$60.437971964$ |
$60.437971963962546$ |
|
✓ |
|
$C_6 \times C_3$ (as 18T2) |
trivial |
$2$ |
$17$ |
$30635402312.4$ |
| 18.0.163...504.1 |
$x^{18} + 57 x^{16} + 1254 x^{14} + 13428 x^{12} + 72789 x^{10} + 189069 x^{8} + 211985 x^{6} + 107217 x^{4} + 22743 x^{2} + 1369$ |
$18$ |
[0,9] |
$-\,2^{18}\cdot 3^{24}\cdot 19^{12}$ |
$3$ |
$61.6160805828$ |
$61.61608058284378$ |
✓ |
✓ |
|
$C_6 \times C_3$ (as 18T2) |
$[4, 148]$ |
$4$ |
$8$ |
$1472619.0824$ |
| 18.0.179...424.4 |
$x^{18} + 24 x^{16} - 6 x^{15} + 387 x^{14} + 6 x^{13} + 3941 x^{12} - 36 x^{11} + 28167 x^{10} + 5912 x^{9} + 163782 x^{8} + 50502 x^{7} + 623048 x^{6} + 233514 x^{5} + 2503317 x^{4} + 2370846 x^{3} + 8823831 x^{2} + 5384334 x + 8256151$ |
$18$ |
[0,9] |
$-\,2^{27}\cdot 3^{24}\cdot 7^{15}$ |
$3$ |
$61.9376941446$ |
$61.937694144633795$ |
✓ |
✓ |
|
$C_6 \times C_3$ (as 18T2) |
$[2, 18, 252]$ |
$2$ |
$8$ |
$54408.4888887$ |
