| 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 |
| 18.0.354...144.1 |
$x^{18} - 2 x^{17} + 4 x^{16} - 6 x^{15} + 16 x^{14} - 34 x^{13} + 71 x^{12} - 112 x^{11} + 148 x^{10} - 156 x^{9} + 148 x^{8} - 112 x^{7} + 71 x^{6} - 34 x^{5} + 16 x^{4} - 6 x^{3} + 4 x^{2} - 2 x + 1$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 59^{9}$ |
$2$ |
$12.1930588405$ |
$12.19305884048769$ |
|
✓ |
|
$D_9$ (as 18T5) |
trivial |
$2$ |
$8$ |
$260.77650999$ |
| 18.0.439...375.1 |
$x^{18} - 3 x^{17} + 12 x^{16} - 18 x^{15} + 50 x^{14} - 32 x^{13} + 68 x^{12} + 39 x^{11} + 34 x^{10} + 127 x^{9} - 88 x^{8} + 148 x^{7} - x^{6} - 74 x^{5} + 96 x^{4} - 84 x^{3} + 41 x^{2} - 10 x + 1$ |
$18$ |
[0,9] |
$-\,5^{12}\cdot 23^{9}$ |
$2$ |
$14.0230964436$ |
$14.023096443646823$ |
|
✓ |
? |
$D_9$ (as 18T5) |
trivial |
$2$ |
$8$ |
$635.399863828$ |
| 18.0.489...799.1 |
$x^{18} - 9 x^{17} + 46 x^{16} - 164 x^{15} + 444 x^{14} - 952 x^{13} + 1655 x^{12} - 2364 x^{11} + 2804 x^{10} - 2789 x^{9} + 2362 x^{8} - 1740 x^{7} + 1154 x^{6} - 709 x^{5} + 393 x^{4} - 179 x^{3} + 62 x^{2} - 15 x + 9$ |
$18$ |
[0,9] |
$-\,199^{9}$ |
$1$ |
$14.1067359797$ |
$14.106735979665885$ |
|
✓ |
|
$D_9$ (as 18T5) |
trivial |
$2$ |
$8$ |
$1021.61263769$ |
| 18.0.765...688.1 |
$x^{18} - 3 x^{17} + 10 x^{16} - 25 x^{15} + 47 x^{14} - 74 x^{13} + 101 x^{12} - 135 x^{11} + 177 x^{10} - 182 x^{9} + 177 x^{8} - 135 x^{7} + 101 x^{6} - 74 x^{5} + 47 x^{4} - 25 x^{3} + 10 x^{2} - 3 x + 1$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 83^{9}$ |
$2$ |
$14.4619118474$ |
$14.461911847420069$ |
|
✓ |
|
$D_9$ (as 18T5) |
trivial |
$2$ |
$8$ |
$1527.29829068$ |
| 18.0.753...672.1 |
$x^{18} - 9 x^{17} + 33 x^{16} - 60 x^{15} + 50 x^{14} - 14 x^{13} + 62 x^{12} - 268 x^{11} + 523 x^{10} - 635 x^{9} + 523 x^{8} - 268 x^{7} + 62 x^{6} - 14 x^{5} + 50 x^{4} - 60 x^{3} + 33 x^{2} - 9 x + 1$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 107^{9}$ |
$2$ |
$16.4202041607$ |
$16.420204160652293$ |
|
✓ |
|
$D_9$ (as 18T5) |
trivial |
$2$ |
$8$ |
$5331.83618131$ |
| 18.0.531...375.1 |
$x^{18} - 4 x^{16} - 6 x^{14} + 64 x^{12} - 145 x^{10} + 279 x^{8} - 446 x^{6} + 206 x^{4} + 341 x^{2} + 335$ |
$18$ |
[0,9] |
$-\,5^{9}\cdot 67^{9}$ |
$2$ |
$18.3030052177$ |
$18.303005217723125$ |
|
✓ |
|
$D_9$ (as 18T5) |
$[2]$ |
$2$ |
$8$ |
$14588.8980085$ |
| 18.0.793...264.1 |
$x^{18} - 6 x^{17} + 12 x^{16} + 12 x^{15} - 48 x^{14} + 6 x^{13} + 199 x^{12} - 324 x^{11} - 24 x^{10} + 348 x^{9} - 24 x^{8} - 324 x^{7} + 199 x^{6} + 6 x^{5} - 48 x^{4} + 12 x^{3} + 12 x^{2} - 6 x + 1$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 139^{9}$ |
$2$ |
$18.7151823895$ |
$18.715182389460562$ |
|
✓ |
|
$D_9$ (as 18T5) |
trivial |
$2$ |
$8$ |
$30201.3585884$ |
| 18.0.120...647.1 |
$x^{18} + 4 x^{14} - 40 x^{12} + 20 x^{10} + 287 x^{8} - 1036 x^{6} + 1882 x^{4} - 1404 x^{2} + 367$ |
$18$ |
[0,9] |
$-\,367^{9}$ |
$1$ |
$19.1572440607$ |
$19.157244060668017$ |
|
✓ |
|
$D_9$ (as 18T5) |
trivial |
$2$ |
$8$ |
$21882.4539804$ |
| 18.0.151...407.1 |
$x^{18} - 3 x^{17} - 3 x^{16} + 20 x^{15} + 9 x^{14} - 60 x^{13} - 63 x^{12} + 60 x^{11} + 345 x^{10} - 40 x^{9} - 237 x^{8} - 489 x^{7} + 136 x^{6} + 129 x^{5} + 63 x^{4} + 102 x^{3} + 168 x^{2} + 87$ |
$18$ |
[0,9] |
$-\,3^{21}\cdot 29^{9}$ |
$2$ |
$19.4017302798$ |
$19.401730279803232$ |
|
✓ |
? |
$D_9$ (as 18T5) |
$[2]$ |
$2$ |
$8$ |
$19560.8039608$ |
| 18.0.365...871.2 |
$x^{18} - 5 x^{17} + 22 x^{16} - 84 x^{15} + 232 x^{14} - 559 x^{13} + 1199 x^{12} - 2031 x^{11} + 2823 x^{10} - 3592 x^{9} + 3830 x^{8} - 2694 x^{7} + 656 x^{6} + 1087 x^{5} - 1604 x^{4} + 1065 x^{3} - 742 x^{2} - 54 x + 729$ |
$18$ |
[0,9] |
$-\,7^{12}\cdot 31^{9}$ |
$2$ |
$20.374151925$ |
$20.37415192496631$ |
|
✓ |
|
$D_9$ (as 18T5) |
$[3]$ |
$2$ |
$8$ |
$12668.0200523$ |
| 18.0.398...379.1 |
$x^{18} - 2 x^{17} - 5 x^{16} + 28 x^{15} + 12 x^{14} - 114 x^{13} + 60 x^{12} + 396 x^{11} + 4 x^{10} - 350 x^{9} + 384 x^{8} + 450 x^{7} - 781 x^{6} - 522 x^{5} + 881 x^{4} + 402 x^{3} - 652 x^{2} - 192 x + 256$ |
$18$ |
[0,9] |
$-\,419^{9}$ |
$1$ |
$20.4694894905$ |
$20.46948949045872$ |
|
✓ |
|
$D_9$ (as 18T5) |
trivial |
$2$ |
$8$ |
$144526.096265$ |
| 18.0.508...703.3 |
$x^{18} - 18 x^{14} - 57 x^{12} + 177 x^{10} + 1134 x^{8} + 506 x^{6} - 1977 x^{4} + 234 x^{2} + 575$ |
$18$ |
[0,9] |
$-\,3^{24}\cdot 23^{9}$ |
$2$ |
$20.7503578613$ |
$20.75035786129348$ |
|
✓ |
? |
$D_9$ (as 18T5) |
$[3]$ |
$2$ |
$8$ |
$10047.0042383$ |
| 18.0.879...375.1 |
$x^{18} - 9 x^{16} - 3 x^{15} + 27 x^{14} - 9 x^{13} - 6 x^{12} + 81 x^{11} + 243 x^{10} - 602 x^{9} - 486 x^{8} + 792 x^{7} + 399 x^{6} - 594 x^{5} + 576 x^{4} - 210 x^{3} + 25$ |
$18$ |
[0,9] |
$-\,3^{37}\cdot 5^{9}$ |
$2$ |
$21.391155658$ |
$21.391155657968785$ |
|
✓ |
|
$D_9$ (as 18T5) |
$[2]$ |
$2$ |
$8$ |
$93546.1279517$ |
| 18.0.165...011.1 |
$x^{18} - 4 x^{17} + 4 x^{16} + 14 x^{15} - 47 x^{14} + 2 x^{13} + 153 x^{12} - 156 x^{11} - 191 x^{10} + 738 x^{9} - 739 x^{8} - 228 x^{7} + 1880 x^{6} - 3298 x^{5} + 3757 x^{4} - 3378 x^{3} + 2372 x^{2} - 1120 x + 256$ |
$18$ |
[0,9] |
$-\,491^{9}$ |
$1$ |
$22.1585198062$ |
$22.15851980616034$ |
|
✓ |
|
$D_9$ (as 18T5) |
$[2, 2]$ |
$2$ |
$8$ |
$79186.8820128$ |
| 18.0.273...279.1 |
$x^{18} - 4 x^{17} + 2 x^{16} + 27 x^{15} - 41 x^{14} - 47 x^{13} + 244 x^{12} - 269 x^{11} + 208 x^{10} - 186 x^{9} + 578 x^{8} - 1066 x^{7} + 1660 x^{6} - 1326 x^{5} + 1065 x^{4} - 423 x^{3} + 360 x^{2} - 135 x + 81$ |
$18$ |
[0,9] |
$-\,3^{9}\cdot 173^{9}$ |
$2$ |
$22.7815714998$ |
$22.781571499789035$ |
|
✓ |
|
$D_9$ (as 18T5) |
$[2]$ |
$2$ |
$8$ |
$555844.602335$ |
| 18.0.313...487.1 |
$x^{18} + 8 x^{16} - 20 x^{15} + 44 x^{14} - 140 x^{13} + 201 x^{12} - 451 x^{11} + 736 x^{10} - 464 x^{9} + 519 x^{8} - 1219 x^{7} + 1657 x^{6} - 303 x^{5} - 925 x^{4} + 30 x^{3} + 246 x^{2} + 80 x + 25$ |
$18$ |
[0,9] |
$-\,17^{9}\cdot 31^{9}$ |
$2$ |
$22.9564805665$ |
$22.956480566497994$ |
|
✓ |
? |
$D_9$ (as 18T5) |
$[2]$ |
$2$ |
$8$ |
$48092.8610332$ |
| 18.0.339...136.1 |
$x^{18} - 9 x^{17} + 45 x^{16} - 156 x^{15} + 372 x^{14} - 588 x^{13} + 444 x^{12} + 534 x^{11} - 1913 x^{10} + 1953 x^{9} + 513 x^{8} - 4074 x^{7} + 3354 x^{6} + 2694 x^{5} - 3036 x^{4} - 2226 x^{3} + 1579 x^{2} + 513 x + 81$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 211^{9}$ |
$2$ |
$23.0583321829$ |
$23.05833218287126$ |
|
✓ |
|
$D_9$ (as 18T5) |
trivial |
$2$ |
$8$ |
$226324.427557$ |
| 18.0.565...823.1 |
$x^{18} - x^{17} - 6 x^{16} - 13 x^{15} + 61 x^{14} + 245 x^{13} + 372 x^{12} + 314 x^{11} + 906 x^{10} + 2799 x^{9} + 4131 x^{8} + 2808 x^{7} + 2387 x^{6} + 3862 x^{5} + 3861 x^{4} - 525 x^{3} + 583 x^{2} - 989 x + 529$ |
$18$ |
[0,9] |
$-\,11^{12}\cdot 23^{9}$ |
$2$ |
$23.7206020774$ |
$23.72060207739333$ |
|
✓ |
? |
$D_9$ (as 18T5) |
trivial |
$2$ |
$8$ |
$99911.2053896$ |
| 18.0.568...323.1 |
$x^{18} - 4 x^{17} + 10 x^{16} - 28 x^{15} + 65 x^{14} - 124 x^{13} + 194 x^{12} - 336 x^{11} + 644 x^{10} - 860 x^{9} + 1190 x^{8} - 2036 x^{7} + 2873 x^{6} - 2556 x^{5} + 3530 x^{4} - 4448 x^{3} + 2409 x^{2} - 1896 x + 2396$ |
$18$ |
[0,9] |
$-\,563^{9}$ |
$1$ |
$23.7276210354$ |
$23.727621035409346$ |
|
✓ |
|
$D_9$ (as 18T5) |
$[2, 2]$ |
$2$ |
$8$ |
$168278.897914$ |
| 18.0.746...751.2 |
$x^{18} + 18 x^{16} + 135 x^{14} + 570 x^{12} + 1575 x^{10} + 3078 x^{8} + 4566 x^{6} + 6012 x^{4} + 5373 x^{2} + 5239$ |
$18$ |
[0,9] |
$-\,3^{24}\cdot 31^{9}$ |
$2$ |
$24.0903172796$ |
$24.090317279593503$ |
|
✓ |
? |
$D_9$ (as 18T5) |
trivial |
$2$ |
$8$ |
$94195.6338059$ |
| 18.0.193...723.1 |
$x^{18} - 18 x^{12} + 81 x^{6} + 192$ |
$18$ |
[0,9] |
$-\,3^{53}$ |
$1$ |
$25.4013634055$ |
$25.401363405535825$ |
|
✓ |
|
$D_9$ (as 18T5) |
trivial |
$6$ |
$8$ |
$5482591.09912$ |
| 18.0.306...719.1 |
$x^{18} - 2 x^{16} + 57 x^{14} - 240 x^{12} + 1054 x^{10} - 2522 x^{8} + 2724 x^{6} + 915 x^{4} - 2225 x^{2} + 679$ |
$18$ |
[0,9] |
$-\,7^{9}\cdot 97^{9}$ |
$2$ |
$26.0576284416$ |
$26.057628441590765$ |
|
✓ |
|
$D_9$ (as 18T5) |
$[2]$ |
$2$ |
$8$ |
$482397.970896$ |
| 18.0.419...703.2 |
$x^{18} - 5 x^{17} + 24 x^{16} - 62 x^{15} + 205 x^{14} - 252 x^{13} + 776 x^{12} - 244 x^{11} + 2550 x^{10} + 2973 x^{9} + 7549 x^{8} + 15264 x^{7} + 15289 x^{6} + 27725 x^{5} + 28737 x^{4} + 13096 x^{3} + 37718 x^{2} - 5250 x + 15625$ |
$18$ |
[0,9] |
$-\,13^{12}\cdot 23^{9}$ |
$2$ |
$26.5150725367$ |
$26.515072536738543$ |
|
✓ |
? |
$D_9$ (as 18T5) |
$[3]$ |
$2$ |
$8$ |
$105070.48842$ |
| 18.0.476...488.1 |
$x^{18} - x^{17} + 5 x^{16} + 10 x^{15} + 30 x^{14} - 32 x^{13} + 262 x^{12} + 20 x^{11} + 187 x^{10} + 427 x^{9} + 1687 x^{8} - 196 x^{7} + 882 x^{6} + 3764 x^{5} + 5354 x^{4} - 6926 x^{3} - 5771 x^{2} + 171 x + 3249$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 283^{9}$ |
$2$ |
$26.7042190345$ |
$26.704219034461545$ |
|
✓ |
|
$D_9$ (as 18T5) |
$[2, 2]$ |
$2$ |
$8$ |
$249031.858474$ |
| 18.0.604...264.1 |
$x^{18} + 18 x^{16} - 24 x^{15} + 162 x^{14} - 288 x^{13} + 1068 x^{12} - 1872 x^{11} + 4473 x^{10} - 7616 x^{9} + 13050 x^{8} - 18360 x^{7} + 23988 x^{6} - 26784 x^{5} + 24408 x^{4} - 16992 x^{3} + 8352 x^{2} - 2304 x + 256$ |
$18$ |
[0,9] |
$-\,2^{27}\cdot 3^{37}$ |
$2$ |
$27.057909465$ |
$27.05790946495165$ |
|
✓ |
|
$D_9$ (as 18T5) |
$[2]$ |
$2$ |
$8$ |
$46631737.4813$ |
| 18.0.697...375.1 |
$x^{18} + 7 x^{16} - 56 x^{14} + 358 x^{12} - 1094 x^{10} + 1993 x^{8} - 1574 x^{6} + 817 x^{4} - 506 x^{2} + 783$ |
$18$ |
[0,9] |
$-\,3^{9}\cdot 5^{12}\cdot 29^{9}$ |
$3$ |
$27.2734218023$ |
$27.27342180226682$ |
|
✓ |
|
$D_9$ (as 18T5) |
$[2]$ |
$2$ |
$8$ |
$3534920.45401$ |
| 18.0.829...791.1 |
$x^{18} - 3 x^{17} + 18 x^{16} - 48 x^{15} + 83 x^{14} - 203 x^{13} + 90 x^{12} + 47 x^{11} + 131 x^{10} + 918 x^{9} + 3164 x^{8} + 2377 x^{7} - 796 x^{6} + 1065 x^{5} + 9952 x^{4} - 8374 x^{3} - 16172 x^{2} + 7750 x + 19127$ |
$18$ |
[0,9] |
$-\,11^{12}\cdot 31^{9}$ |
$2$ |
$27.538649402$ |
$27.538649401961177$ |
|
✓ |
|
$D_9$ (as 18T5) |
trivial |
$2$ |
$8$ |
$605404.210476$ |
| 18.0.173...663.1 |
$x^{18} - 6 x^{17} + 9 x^{16} + 13 x^{15} - 30 x^{14} - 35 x^{13} + 86 x^{12} - 421 x^{11} + 2163 x^{10} - 4960 x^{9} + 8548 x^{8} - 16577 x^{7} + 28762 x^{6} - 35630 x^{5} + 32042 x^{4} - 21435 x^{3} + 10881 x^{2} - 4995 x + 2025$ |
$18$ |
[0,9] |
$-\,823^{9}$ |
$1$ |
$28.6879765756$ |
$28.687976575562104$ |
|
✓ |
|
$D_9$ (as 18T5) |
trivial |
$2$ |
$8$ |
$943839.99321$ |
| 18.0.195...616.1 |
$x^{18} - 5 x^{17} + 24 x^{16} - 103 x^{15} + 325 x^{14} - 916 x^{13} + 2177 x^{12} - 4023 x^{11} + 6609 x^{10} - 11370 x^{9} + 22487 x^{8} - 47101 x^{7} + 79963 x^{6} - 92740 x^{5} + 67479 x^{4} - 27701 x^{3} + 5710 x^{2} - 1113 x + 441$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 331^{9}$ |
$2$ |
$28.8802308687$ |
$28.880230868717202$ |
|
✓ |
|
$D_9$ (as 18T5) |
$[2, 2]$ |
$2$ |
$8$ |
$449668.225814$ |
| 18.0.258...864.8 |
$x^{18} + 18 x^{16} + 135 x^{14} + 564 x^{12} + 1503 x^{10} + 2754 x^{8} + 3465 x^{6} + 2808 x^{4} + 1296 x^{2} + 12544$ |
$18$ |
[0,9] |
$-\,2^{18}\cdot 3^{44}$ |
$2$ |
$29.3309679999$ |
$29.330967999939233$ |
|
✓ |
|
$D_9$ (as 18T5) |
trivial |
$4$ |
$8$ |
$326412091.549$ |
| 18.0.448...875.1 |
$x^{18} - x^{17} + 12 x^{16} - 53 x^{15} + 113 x^{14} - 460 x^{13} + 1093 x^{12} - 2083 x^{11} + 5509 x^{10} - 8812 x^{9} + 14193 x^{8} - 28895 x^{7} + 29724 x^{6} - 50207 x^{5} + 69537 x^{4} - 45474 x^{3} + 104656 x^{2} - 28952 x + 81232$ |
$18$ |
[0,9] |
$-\,5^{12}\cdot 107^{9}$ |
$2$ |
$30.246274671$ |
$30.24627467097449$ |
|
✓ |
|
$D_9$ (as 18T5) |
trivial |
$2$ |
$8$ |
$6601269.29293$ |
| 18.0.660...824.1 |
$x^{18} - 2 x^{17} + 16 x^{16} - 34 x^{15} + 114 x^{14} - 238 x^{13} + 595 x^{12} - 1236 x^{11} + 2184 x^{10} - 4548 x^{9} + 5588 x^{8} - 6544 x^{7} + 18315 x^{6} - 19882 x^{5} - 5428 x^{4} + 18166 x^{3} - 5470 x^{2} - 12606 x + 14373$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 379^{9}$ |
$2$ |
$30.9034003925$ |
$30.90340039251852$ |
|
✓ |
|
$D_9$ (as 18T5) |
trivial |
$2$ |
$8$ |
$3306484.46564$ |
| 18.0.686...039.1 |
$x^{18} - 16 x^{16} + 118 x^{14} - 520 x^{12} + 1223 x^{10} + 263 x^{8} - 7570 x^{6} - 350 x^{4} + 37877 x^{2} + 46991$ |
$18$ |
[0,9] |
$-\,7^{9}\cdot 137^{9}$ |
$2$ |
$30.9677251344$ |
$30.967725134404045$ |
|
✓ |
|
$D_9$ (as 18T5) |
$[4]$ |
$2$ |
$8$ |
$659446.094846$ |
| 18.0.857...503.1 |
$x^{18} - 2 x^{16} + 47 x^{14} - 98 x^{12} + 427 x^{10} + 2890 x^{8} + 4998 x^{6} + 4004 x^{4} + 1997 x^{2} + 983$ |
$18$ |
[0,9] |
$-\,983^{9}$ |
$1$ |
$31.3528308132$ |
$31.352830813181765$ |
|
✓ |
? |
$D_9$ (as 18T5) |
$[3]$ |
$2$ |
$8$ |
$387296.574069$ |
| 18.0.995...711.1 |
$x^{18} - 9 x^{17} + 30 x^{16} - 36 x^{15} - 66 x^{14} + 378 x^{13} - 795 x^{12} + 870 x^{11} + 1293 x^{10} - 8434 x^{9} + 20088 x^{8} - 30084 x^{7} + 32202 x^{6} - 25995 x^{5} + 6084 x^{4} + 12516 x^{3} + 42 x^{2} - 8085 x + 5929$ |
$18$ |
[0,9] |
$-\,3^{21}\cdot 7^{9}\cdot 11^{9}$ |
$3$ |
$31.6145370395$ |
$31.61453703951766$ |
|
✓ |
|
$D_9$ (as 18T5) |
$[2, 2]$ |
$2$ |
$8$ |
$3533553.0226$ |
| 18.0.104...343.1 |
$x^{18} - 3 x^{17} + 3 x^{16} - 34 x^{15} - 9 x^{14} + 80 x^{13} + 231 x^{12} + 560 x^{11} + 2030 x^{10} - 3725 x^{9} + 25845 x^{8} - 63455 x^{7} + 178616 x^{6} - 258728 x^{5} + 511018 x^{4} - 557964 x^{3} + 306556 x^{2} + 149960 x + 13961$ |
$18$ |
[0,9] |
$-\,17^{12}\cdot 23^{9}$ |
$2$ |
$31.7075874508$ |
$31.707587450756485$ |
|
✓ |
? |
$D_9$ (as 18T5) |
trivial |
$2$ |
$8$ |
$1645723.56403$ |
| 18.0.137...936.1 |
$x^{18} - 9 x^{17} + 43 x^{16} - 140 x^{15} + 301 x^{14} - 371 x^{13} + 94 x^{12} + 541 x^{11} - 35 x^{10} - 4236 x^{9} + 12775 x^{8} - 21345 x^{7} + 30849 x^{6} - 39744 x^{5} + 35316 x^{4} - 18792 x^{3} - 1728 x^{2} + 6480 x + 1296$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{9}\cdot 137^{9}$ |
$3$ |
$32.1815957189$ |
$32.181595718882335$ |
|
✓ |
|
$D_9$ (as 18T5) |
$[2]$ |
$2$ |
$8$ |
$28638652.8041$ |
| 18.0.161...375.1 |
$x^{18} - 2 x^{17} + 13 x^{16} + x^{15} - 9 x^{14} - 38 x^{13} + 110 x^{12} + 158 x^{11} + 440 x^{10} + 2672 x^{9} + 7706 x^{8} + 9636 x^{7} + 5218 x^{6} - 2402 x^{5} + 3841 x^{4} + 4210 x^{3} - 905 x^{2} + 125 x + 625$ |
$18$ |
[0,9] |
$-\,5^{9}\cdot 211^{9}$ |
$2$ |
$32.4807635378$ |
$32.48076353782343$ |
|
✓ |
|
$D_9$ (as 18T5) |
$[4]$ |
$2$ |
$8$ |
$3094239.39528$ |
| 18.0.196...967.1 |
$x^{18} - 3 x^{16} - 81 x^{14} + 471 x^{12} + 1048 x^{10} + 3810 x^{8} - 2286 x^{6} + 1383 x^{4} - 1301 x^{2} + 567$ |
$18$ |
[0,9] |
$-\,7^{9}\cdot 17^{16}$ |
$2$ |
$32.83079464$ |
$32.83079463998541$ |
|
✓ |
|
$D_9$ (as 18T5) |
trivial |
$2$ |
$8$ |
$10137100.5942$ |
| 18.0.211...527.1 |
$x^{18} - 6 x^{16} - 31 x^{14} + 292 x^{12} - 364 x^{10} - 1609 x^{8} + 1486 x^{6} + 8021 x^{4} + 4506 x^{2} + 1087$ |
$18$ |
[0,9] |
$-\,1087^{9}$ |
$1$ |
$32.9696830437$ |
$32.96968304366907$ |
|
✓ |
|
$D_9$ (as 18T5) |
trivial |
$2$ |
$8$ |
$3275556.82428$ |
| 18.0.242...375.1 |
$x^{18} - 9 x^{17} + 54 x^{16} - 228 x^{15} + 744 x^{14} - 1932 x^{13} + 4228 x^{12} - 7974 x^{11} + 15474 x^{10} - 30444 x^{9} + 62337 x^{8} - 111108 x^{7} + 159331 x^{6} - 174375 x^{5} + 178821 x^{4} - 156870 x^{3} + 111225 x^{2} - 49275 x + 14475$ |
$18$ |
[0,9] |
$-\,3^{21}\cdot 5^{9}\cdot 17^{9}$ |
$3$ |
$33.216274946$ |
$33.21627494595334$ |
|
✓ |
|
$D_9$ (as 18T5) |
$[2, 2]$ |
$2$ |
$8$ |
$7766672.0712$ |
| 18.0.244...659.1 |
$x^{18} + 12 x^{16} + 18 x^{14} + 119 x^{12} + 345 x^{10} + 1458 x^{8} + 536 x^{6} + 4587 x^{4} - 3924 x^{2} + 944$ |
$18$ |
[0,9] |
$-\,3^{24}\cdot 59^{9}$ |
$2$ |
$33.234387463$ |
$33.23438746299623$ |
|
✓ |
|
$D_9$ (as 18T5) |
$[3]$ |
$2$ |
$8$ |
$4622263.54519$ |
| 18.0.258...003.2 |
$x^{18} - 9 x^{17} + 49 x^{16} - 188 x^{15} + 557 x^{14} - 1323 x^{13} + 2498 x^{12} - 3691 x^{11} + 5274 x^{10} - 8957 x^{9} + 16214 x^{8} - 24727 x^{7} + 31261 x^{6} - 32340 x^{5} + 13457 x^{4} + 9905 x^{3} - 3111 x^{2} - 4870 x + 19900$ |
$18$ |
[0,9] |
$-\,7^{12}\cdot 83^{9}$ |
$2$ |
$33.3378616169$ |
$33.33786161694775$ |
|
✓ |
|
$D_9$ (as 18T5) |
$[3]$ |
$2$ |
$8$ |
$5709912.4286$ |
| 18.18.298...769.1 |
$x^{18} - 8 x^{17} - 6 x^{16} + 178 x^{15} - 196 x^{14} - 1395 x^{13} + 2473 x^{12} + 4629 x^{11} - 10538 x^{10} - 5875 x^{9} + 18736 x^{8} + 646 x^{7} - 12300 x^{6} + 1871 x^{5} + 1876 x^{4} - 250 x^{3} - 78 x^{2} + 6 x + 1$ |
$18$ |
[18,0] |
$1129^{9}$ |
$1$ |
$33.6005952328$ |
$33.60059523282288$ |
|
✓ |
? |
$D_9$ (as 18T5) |
trivial |
$2$ |
$17$ |
$67435935.459$ |
| 18.0.312...375.1 |
$x^{18} - 24 x^{16} + 194 x^{14} - 416 x^{12} - 1645 x^{10} + 6479 x^{8} + 2374 x^{6} + 1106 x^{4} - 3579 x^{2} + 1135$ |
$18$ |
[0,9] |
$-\,5^{9}\cdot 227^{9}$ |
$2$ |
$33.6897610558$ |
$33.689761055846034$ |
|
✓ |
|
$D_9$ (as 18T5) |
$[2]$ |
$2$ |
$8$ |
$9918754.58854$ |
| 18.0.316...896.1 |
$x^{18} - 3 x^{17} + 9 x^{16} - 36 x^{15} + 147 x^{14} - 515 x^{13} + 1616 x^{12} - 5017 x^{11} + 14283 x^{10} - 34858 x^{9} + 73403 x^{8} - 123691 x^{7} + 166209 x^{6} - 187176 x^{5} + 165508 x^{4} - 106788 x^{3} + 65288 x^{2} + 9020 x + 1804$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 11^{9}\cdot 41^{9}$ |
$3$ |
$33.7112560876$ |
$33.71125608762117$ |
|
✓ |
|
$D_9$ (as 18T5) |
$[2]$ |
$2$ |
$8$ |
$7560775.8741$ |
| 18.0.392...208.1 |
$x^{18} - 6 x^{17} + 23 x^{16} - 66 x^{15} + 198 x^{14} - 456 x^{13} + 239 x^{12} + 918 x^{11} - 1934 x^{10} - 912 x^{9} + 1671 x^{8} + 7038 x^{7} + 15885 x^{6} + 4374 x^{5} - 3132 x^{4} - 1296 x^{3} + 648 x^{2} + 1944 x + 972$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{9}\cdot 17^{16}$ |
$3$ |
$34.1176936843$ |
$34.11769368425042$ |
|
✓ |
|
$D_9$ (as 18T5) |
trivial |
$6$ |
$8$ |
$352841796.026$ |
| 18.0.395...927.2 |
$x^{18} - 9 x^{17} + 42 x^{16} - 132 x^{15} + 321 x^{14} - 651 x^{13} + 736 x^{12} + 693 x^{11} - 4680 x^{10} + 9969 x^{9} - 3273 x^{8} - 27555 x^{7} + 64117 x^{6} - 73656 x^{5} - 33918 x^{4} + 148365 x^{3} - 131238 x^{2} + 50868 x + 391959$ |
$18$ |
[0,9] |
$-\,3^{9}\cdot 7^{12}\cdot 29^{9}$ |
$3$ |
$34.1317314285$ |
$34.13173142851656$ |
|
✓ |
|
$D_9$ (as 18T5) |
$[6]$ |
$2$ |
$8$ |
$11080835.8701$ |
| 18.0.417...392.1 |
$x^{18} - 2 x^{17} + 3 x^{16} - 4 x^{15} + 23 x^{14} - 122 x^{13} + 265 x^{12} - 328 x^{11} + 344 x^{10} - 1400 x^{9} + 8884 x^{8} - 17408 x^{7} + 12688 x^{6} - 3968 x^{5} + 9216 x^{4} - 16384 x^{3} + 9216 x^{2} + 8192 x + 16384$ |
$18$ |
[0,9] |
$-\,2^{18}\cdot 293^{9}$ |
$2$ |
$34.2344855372$ |
$34.23448553724738$ |
|
✓ |
|
$D_9$ (as 18T5) |
$[2]$ |
$2$ |
$8$ |
$365341428.034$ |
| 18.0.467...427.1 |
$x^{18} - 2 x^{17} + 15 x^{16} - 40 x^{15} + 112 x^{14} - 334 x^{13} + 696 x^{12} - 1860 x^{11} + 4216 x^{10} - 9634 x^{9} + 23952 x^{8} - 51770 x^{7} + 103815 x^{6} - 178442 x^{5} + 240121 x^{4} - 240390 x^{3} + 158800 x^{2} - 59000 x + 10000$ |
$18$ |
[0,9] |
$-\,1187^{9}$ |
$1$ |
$34.4528663539$ |
$34.45286635390443$ |
|
✓ |
|
$D_9$ (as 18T5) |
trivial |
$2$ |
$8$ |
$22636075.4911$ |
