| 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 |
| 15.15.756...321.1 |
$x^{15} - x^{14} - 14 x^{13} + 13 x^{12} + 78 x^{11} - 66 x^{10} - 220 x^{9} + 165 x^{8} + 330 x^{7} - 210 x^{6} - 252 x^{5} + 126 x^{4} + 84 x^{3} - 28 x^{2} - 8 x + 1$ |
$15$ |
[15,0] |
$31^{14}$ |
$1$ |
$24.6568493055$ |
$24.65684930554747$ |
|
✓ |
✓ |
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$263438.339715$ |
| 15.15.886...529.1 |
$x^{15} - x^{14} - 22 x^{13} + 17 x^{12} + 166 x^{11} - 102 x^{10} - 533 x^{9} + 270 x^{8} + 729 x^{7} - 352 x^{6} - 393 x^{5} + 173 x^{4} + 80 x^{3} - 27 x^{2} - 6 x + 1$ |
$15$ |
[15,0] |
$7^{10}\cdot 11^{12}$ |
$2$ |
$24.9179804908$ |
$24.91798049084744$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$286717.64844$ |
| 15.15.109...121.1 |
$x^{15} - 27 x^{13} - 4 x^{12} + 252 x^{11} + 60 x^{10} - 976 x^{9} - 288 x^{8} + 1473 x^{7} + 384 x^{6} - 765 x^{5} - 168 x^{4} + 150 x^{3} + 27 x^{2} - 9 x - 1$ |
$15$ |
[15,0] |
$3^{20}\cdot 11^{12}$ |
$2$ |
$29.4629223441$ |
$29.46292234405376$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$967645.576239$ |
| 15.15.432...129.1 |
$x^{15} - 2 x^{14} - 33 x^{13} + 46 x^{12} + 402 x^{11} - 362 x^{10} - 2214 x^{9} + 1335 x^{8} + 5700 x^{7} - 2740 x^{6} - 6581 x^{5} + 2926 x^{4} + 2758 x^{3} - 1103 x^{2} - 373 x + 131$ |
$15$ |
[15,0] |
$11^{12}\cdot 13^{10}$ |
$2$ |
$37.6480988096$ |
$37.648098809616535$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$5243886.21648$ |
| 15.15.987...441.1 |
$x^{15} - x^{14} - 28 x^{13} + 23 x^{12} + 276 x^{11} - 182 x^{10} - 1193 x^{9} + 592 x^{8} + 2307 x^{7} - 956 x^{6} - 1721 x^{5} + 908 x^{4} + 316 x^{3} - 262 x^{2} + 42 x - 1$ |
$15$ |
[15,0] |
$61^{14}$ |
$1$ |
$46.3775546666$ |
$46.37755466664615$ |
|
✓ |
|
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$87521268.0527$ |
| 15.15.168...625.1 |
$x^{15} - 5 x^{14} - 30 x^{13} + 150 x^{12} + 305 x^{11} - 1539 x^{10} - 1350 x^{9} + 6825 x^{8} + 3115 x^{7} - 13645 x^{6} - 4757 x^{5} + 11735 x^{4} + 3765 x^{3} - 3500 x^{2} - 770 x + 301$ |
$15$ |
[15,0] |
$5^{24}\cdot 7^{10}$ |
$2$ |
$48.0563409609$ |
$48.05634096094402$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$87241496.8826$ |
| 15.15.192...521.1 |
$x^{15} - 2 x^{14} - 43 x^{13} + 100 x^{12} + 622 x^{11} - 1668 x^{10} - 3380 x^{9} + 11013 x^{8} + 4836 x^{7} - 27366 x^{6} + 3839 x^{5} + 23300 x^{4} - 6520 x^{3} - 6663 x^{2} + 1723 x + 197$ |
$15$ |
[15,0] |
$11^{12}\cdot 19^{10}$ |
$2$ |
$48.4860213922$ |
$48.486021392203654$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$39634245.0922$ |
| 15.15.207...625.1 |
$x^{15} - 45 x^{13} - 10 x^{12} + 690 x^{11} + 252 x^{10} - 4560 x^{9} - 1965 x^{8} + 14370 x^{7} + 6350 x^{6} - 21975 x^{5} - 8970 x^{4} + 15050 x^{3} + 4575 x^{2} - 3405 x - 107$ |
$15$ |
[15,0] |
$3^{20}\cdot 5^{24}$ |
$2$ |
$56.8216289595$ |
$56.82162895952691$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$111059719.436$ |
| 15.15.222...489.1 |
$x^{15} - 2 x^{14} - 47 x^{13} + 44 x^{12} + 796 x^{11} - 86 x^{10} - 5782 x^{9} - 2469 x^{8} + 18376 x^{7} + 14370 x^{6} - 21477 x^{5} - 22698 x^{4} + 4468 x^{3} + 10091 x^{2} + 2903 x + 211$ |
$15$ |
[15,0] |
$7^{10}\cdot 31^{12}$ |
$2$ |
$57.0805367648$ |
$57.08053676475076$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$109278274.626$ |
| 15.15.257...521.1 |
$x^{15} - 2 x^{14} - 63 x^{13} + 133 x^{12} + 1422 x^{11} - 3182 x^{10} - 14085 x^{9} + 33507 x^{8} + 61557 x^{7} - 157405 x^{6} - 111611 x^{5} + 318268 x^{4} + 77338 x^{3} - 252062 x^{2} - 16054 x + 47081$ |
$15$ |
[15,0] |
$11^{12}\cdot 31^{10}$ |
$2$ |
$67.1978344275$ |
$67.19783442751356$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$920271857.6558672$ |
| 15.15.274...161.1 |
$x^{15} - 3 x^{14} - 48 x^{13} + 168 x^{12} + 663 x^{11} - 2841 x^{10} - 2236 x^{9} + 16959 x^{8} - 3687 x^{7} - 40813 x^{6} + 26625 x^{5} + 35805 x^{4} - 31481 x^{3} - 7836 x^{2} + 10398 x - 1637$ |
$15$ |
[15,0] |
$3^{20}\cdot 31^{12}$ |
$2$ |
$67.4918026633$ |
$67.49180266332097$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$552470977.222$ |
| 15.15.637...169.1 |
$x^{15} - 2 x^{14} - 59 x^{13} + 150 x^{12} + 1100 x^{11} - 3368 x^{10} - 7356 x^{9} + 29167 x^{8} + 10106 x^{7} - 98196 x^{6} + 44261 x^{5} + 92292 x^{4} - 57764 x^{3} - 27115 x^{2} + 17047 x + 547$ |
$15$ |
[15,0] |
$7^{10}\cdot 41^{12}$ |
$2$ |
$71.3880926669$ |
$71.38809266691113$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$873491470.835$ |
| 15.15.821...625.1 |
$x^{15} - 5 x^{14} - 40 x^{13} + 180 x^{12} + 585 x^{11} - 2349 x^{10} - 3980 x^{9} + 13695 x^{8} + 13045 x^{7} - 34955 x^{6} - 19249 x^{5} + 33245 x^{4} + 9345 x^{3} - 7780 x^{2} - 490 x + 151$ |
$15$ |
[15,0] |
$5^{24}\cdot 13^{10}$ |
$2$ |
$72.6074038621$ |
$72.60740386207408$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$1285347259.8659444$ |
| 15.15.150...129.1 |
$x^{15} - 2 x^{14} - 73 x^{13} + 52 x^{12} + 2098 x^{11} + 858 x^{10} - 28112 x^{9} - 36813 x^{8} + 161814 x^{7} + 350706 x^{6} - 211189 x^{5} - 1031110 x^{4} - 709558 x^{3} + 104955 x^{2} + 207733 x + 42527$ |
$15$ |
[15,0] |
$11^{12}\cdot 37^{10}$ |
$2$ |
$75.6104746129$ |
$75.61047461286944$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$2900978466.527207$ |
| 15.15.678...529.1 |
$x^{15} - 2 x^{14} - 83 x^{13} + 81 x^{12} + 2678 x^{11} - 114 x^{10} - 41297 x^{9} - 30177 x^{8} + 301977 x^{7} + 409471 x^{6} - 861711 x^{5} - 1732412 x^{4} + 197478 x^{3} + 1652146 x^{2} + 508174 x - 184427$ |
$15$ |
[15,0] |
$11^{12}\cdot 43^{10}$ |
$2$ |
$83.5782201841$ |
$83.57822018407387$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$3066900946.178709$ |
| 15.15.786...481.1 |
$x^{15} - 3 x^{14} - 60 x^{13} + 114 x^{12} + 1311 x^{11} - 1311 x^{10} - 13178 x^{9} + 3897 x^{8} + 62079 x^{7} + 12471 x^{6} - 121443 x^{5} - 49737 x^{4} + 91153 x^{3} + 39540 x^{2} - 22284 x - 8373$ |
$15$ |
[15,0] |
$3^{20}\cdot 41^{12}$ |
$2$ |
$84.4090006133$ |
$84.40900061334726$ |
|
✓ |
|
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$18946465206.742867$ |
| 15.15.108...089.1 |
$x^{15} - 2 x^{14} - 57 x^{13} + 48 x^{12} + 1160 x^{11} - 216 x^{10} - 10866 x^{9} - 2451 x^{8} + 48322 x^{7} + 23558 x^{6} - 90077 x^{5} - 56572 x^{4} + 40542 x^{3} + 17185 x^{2} - 7475 x + 625$ |
$15$ |
[15,0] |
$13^{10}\cdot 31^{12}$ |
$2$ |
$86.2418882226$ |
$86.24188822262784$ |
|
✓ |
|
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$67543570601.28224$ |
| 15.15.213...929.1 |
$x^{15} - x^{14} - 76 x^{13} + 13 x^{12} + 2093 x^{11} + 895 x^{10} - 25826 x^{9} - 21876 x^{8} + 141938 x^{7} + 155038 x^{6} - 298286 x^{5} - 335201 x^{4} + 192098 x^{3} + 163900 x^{2} - 31690 x - 2479$ |
$15$ |
[15,0] |
$7^{10}\cdot 31^{14}$ |
$2$ |
$90.226949455$ |
$90.2269494549658$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
$[3]$ |
$2$ |
$14$ |
$2113364265.56$ |
| 15.15.213...929.2 |
$x^{15} - x^{14} - 76 x^{13} + 13 x^{12} + 2093 x^{11} + 895 x^{10} - 24958 x^{9} - 17536 x^{8} + 133041 x^{7} + 91023 x^{6} - 330836 x^{5} - 156827 x^{4} + 371340 x^{3} + 38908 x^{2} - 166230 x + 43525$ |
$15$ |
[15,0] |
$7^{10}\cdot 31^{14}$ |
$2$ |
$90.226949455$ |
$90.2269494549658$ |
|
✓ |
|
$C_{15}$ (as 15T1) |
$[3]$ |
$2$ |
$14$ |
$30932433416.2$ |
| 15.15.365...625.1 |
$x^{15} - 5 x^{14} - 50 x^{13} + 260 x^{12} + 745 x^{11} - 4439 x^{10} - 2980 x^{9} + 29685 x^{8} - 4955 x^{7} - 81705 x^{6} + 43089 x^{5} + 82545 x^{4} - 55625 x^{3} - 17710 x^{2} + 9800 x + 2401$ |
$15$ |
[15,0] |
$5^{24}\cdot 19^{10}$ |
$2$ |
$93.5092142286$ |
$93.50921422862552$ |
|
✓ |
|
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$47458423135.208374$ |
| 15.15.749...929.1 |
$x^{15} - 2 x^{14} - 83 x^{13} + 140 x^{12} + 2380 x^{11} - 3320 x^{10} - 29682 x^{9} + 34801 x^{8} + 167356 x^{7} - 161206 x^{6} - 393515 x^{5} + 250272 x^{4} + 359552 x^{3} - 96207 x^{2} - 115927 x - 9659$ |
$15$ |
[15,0] |
$7^{10}\cdot 61^{12}$ |
$2$ |
$98.0985439587$ |
$98.09854395869841$ |
|
✓ |
|
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$32336716619.23167$ |
| 15.15.223...321.1 |
$x^{15} - 2 x^{14} - 113 x^{13} + 208 x^{12} + 4834 x^{11} - 8166 x^{10} - 98676 x^{9} + 150883 x^{8} + 1004274 x^{7} - 1336418 x^{6} - 4903173 x^{5} + 5161658 x^{4} + 10129434 x^{3} - 6538649 x^{2} - 6747207 x + 1201663$ |
$15$ |
[15,0] |
$11^{12}\cdot 61^{10}$ |
$2$ |
$105.519819133$ |
$105.5198191330902$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$31742014185.46094$ |
| 15.15.263...721.1 |
$x^{15} - 93 x^{13} - 62 x^{12} + 3069 x^{11} + 3534 x^{10} - 43338 x^{9} - 62496 x^{8} + 258261 x^{7} + 375162 x^{6} - 681318 x^{5} - 871131 x^{4} + 723943 x^{3} + 645327 x^{2} - 209901 x + 5921$ |
$15$ |
[15,0] |
$3^{20}\cdot 31^{14}$ |
$2$ |
$106.683990948$ |
$106.68399094818109$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
$[3]$ |
$2$ |
$14$ |
$5067617902.44$ |
| 15.15.263...721.2 |
$x^{15} - 93 x^{13} - 62 x^{12} + 3069 x^{11} + 3534 x^{10} - 43617 x^{9} - 59985 x^{8} + 290067 x^{7} + 447981 x^{6} - 837000 x^{5} - 1558308 x^{4} + 541198 x^{3} + 2046465 x^{2} + 1023000 x + 96875$ |
$15$ |
[15,0] |
$3^{20}\cdot 31^{14}$ |
$2$ |
$106.683990948$ |
$106.68399094818109$ |
|
✓ |
|
$C_{15}$ (as 15T1) |
$[3]$ |
$2$ |
$14$ |
$123454772619$ |
| 15.15.309...129.1 |
$x^{15} - 3 x^{14} - 114 x^{13} + 130 x^{12} + 5361 x^{11} + 3249 x^{10} - 120562 x^{9} - 259107 x^{8} + 1090119 x^{7} + 4464049 x^{6} + 785697 x^{5} - 20966655 x^{4} - 43817519 x^{3} - 38133582 x^{2} - 14510214 x - 1701701$ |
$15$ |
[15,0] |
$3^{20}\cdot 7^{10}\cdot 11^{12}$ |
$3$ |
$107.813839968$ |
$107.81383996755932$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
$[3]$ |
$2$ |
$14$ |
$12250984499.438423$ |
| 15.15.309...129.2 |
$x^{15} - 3 x^{14} - 114 x^{13} + 165 x^{12} + 5277 x^{11} + 309 x^{10} - 119015 x^{9} - 163851 x^{8} + 1201692 x^{7} + 3201011 x^{6} - 2654712 x^{5} - 17750946 x^{4} - 19922550 x^{3} - 3294435 x^{2} + 4535715 x + 831403$ |
$15$ |
[15,0] |
$3^{20}\cdot 7^{10}\cdot 11^{12}$ |
$3$ |
$107.813839968$ |
$107.81383996755932$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
$[3]$ |
$2$ |
$14$ |
$5252645612.166227$ |
| 15.15.311...769.1 |
$x^{15} - 2 x^{14} - 69 x^{13} + 154 x^{12} + 1536 x^{11} - 3742 x^{10} - 13104 x^{9} + 32905 x^{8} + 47584 x^{7} - 119624 x^{6} - 71155 x^{5} + 179526 x^{4} + 33394 x^{3} - 87985 x^{2} + 9 x + 2293$ |
$15$ |
[15,0] |
$13^{10}\cdot 41^{12}$ |
$2$ |
$107.858900024$ |
$107.85890002366433$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$25379435677.580284$ |
| 15.15.320...601.1 |
$x^{15} - x^{14} - 70 x^{13} + 37 x^{12} + 1714 x^{11} - 646 x^{10} - 19122 x^{9} + 7308 x^{8} + 103129 x^{7} - 46623 x^{6} - 259504 x^{5} + 140547 x^{4} + 239121 x^{3} - 152667 x^{2} + 7714 x + 361$ |
$15$ |
[15,0] |
$151^{14}$ |
$1$ |
$108.071658784$ |
$108.07165878407989$ |
|
✓ |
|
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$63003998024.8$ |
| 15.15.463...009.1 |
$x^{15} - 2 x^{14} - 95 x^{13} + 330 x^{12} + 2696 x^{11} - 13890 x^{10} - 14576 x^{9} + 183885 x^{8} - 244262 x^{7} - 421848 x^{6} + 1178315 x^{5} - 361390 x^{4} - 1098512 x^{3} + 1025879 x^{2} - 229827 x - 2911$ |
$15$ |
[15,0] |
$7^{10}\cdot 71^{12}$ |
$2$ |
$110.765719355$ |
$110.76571935476852$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$26670515863.43193$ |
| 15.15.482...561.1 |
$x^{15} - 2 x^{14} - 67 x^{13} + 102 x^{12} + 1524 x^{11} - 1830 x^{10} - 13856 x^{9} + 15183 x^{8} + 52210 x^{7} - 55028 x^{6} - 78181 x^{5} + 76130 x^{4} + 39828 x^{3} - 32647 x^{2} - 2587 x + 1303$ |
$15$ |
[15,0] |
$19^{10}\cdot 31^{12}$ |
$2$ |
$111.068717133$ |
$111.0687171326238$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$25852132818.113102$ |
| 15.15.572...729.1 |
$x^{15} - 2 x^{14} - 123 x^{13} + 152 x^{12} + 5870 x^{11} - 2956 x^{10} - 136528 x^{9} - 22067 x^{8} + 1590440 x^{7} + 1155822 x^{6} - 8394345 x^{5} - 9635844 x^{4} + 13947752 x^{3} + 17818309 x^{2} - 4647121 x - 4845499$ |
$15$ |
[15,0] |
$11^{12}\cdot 67^{10}$ |
$2$ |
$112.330411523$ |
$112.33041152311623$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$35980252831.5571$ |
| 15.15.925...721.1 |
$x^{15} - 3 x^{14} - 84 x^{13} + 228 x^{12} + 2391 x^{11} - 5847 x^{10} - 29200 x^{9} + 60063 x^{8} + 170109 x^{7} - 273581 x^{6} - 455961 x^{5} + 575889 x^{4} + 516547 x^{3} - 477888 x^{2} - 213990 x + 109169$ |
$15$ |
[15,0] |
$3^{20}\cdot 61^{12}$ |
$2$ |
$115.991333398$ |
$115.99133339804537$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$23247159013.898647$ |
| 15.15.134...929.1 |
$x^{15} - 2 x^{14} - 133 x^{13} + 326 x^{12} + 6618 x^{11} - 19414 x^{10} - 150182 x^{9} + 529243 x^{8} + 1451632 x^{7} - 6655484 x^{6} - 2779461 x^{5} + 32472178 x^{4} - 23518862 x^{3} - 22419019 x^{2} + 15844999 x + 3358343$ |
$15$ |
[15,0] |
$11^{12}\cdot 73^{10}$ |
$2$ |
$118.940398219$ |
$118.94039821882505$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$35246330370.40924$ |
| 15.15.297...921.1 |
$x^{15} - 2 x^{14} - 143 x^{13} + 8246 x^{11} + 14904 x^{10} - 219872 x^{9} - 786687 x^{8} + 2075724 x^{7} + 14598886 x^{6} + 12430527 x^{5} - 75224192 x^{4} - 235831716 x^{3} - 288431111 x^{2} - 160431365 x - 31658639$ |
$15$ |
[15,0] |
$11^{12}\cdot 79^{10}$ |
$2$ |
$125.371515493$ |
$125.37151549284967$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$61238384087.82688$ |
| 15.15.405...921.1 |
$x^{15} - x^{14} - 84 x^{13} + 157 x^{12} + 2394 x^{11} - 6230 x^{10} - 25412 x^{9} + 85976 x^{8} + 79471 x^{7} - 472660 x^{6} + 188069 x^{5} + 851676 x^{4} - 1016574 x^{3} + 218070 x^{2} + 106911 x - 11813$ |
$15$ |
[15,0] |
$181^{14}$ |
$1$ |
$127.987238856$ |
$127.9872388563422$ |
|
✓ |
|
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$885563835346$ |
| 15.15.488...625.1 |
$x^{15} - 5 x^{14} - 70 x^{13} + 345 x^{12} + 1605 x^{11} - 8259 x^{10} - 13835 x^{9} + 83055 x^{8} + 32860 x^{7} - 361145 x^{6} + 102680 x^{5} + 603860 x^{4} - 414630 x^{3} - 202555 x^{2} + 206735 x - 28349$ |
$15$ |
[15,0] |
$5^{24}\cdot 31^{10}$ |
$2$ |
$129.596459242$ |
$129.59645924242508$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$73815924361.4963$ |
| 15.15.572...641.1 |
$x^{15} - 3 x^{14} - 96 x^{13} + 90 x^{12} + 3387 x^{11} + 2367 x^{10} - 48026 x^{9} - 90183 x^{8} + 200511 x^{7} + 624775 x^{6} + 87771 x^{5} - 1101825 x^{4} - 1198347 x^{3} - 414456 x^{2} - 17184 x + 8621$ |
$15$ |
[15,0] |
$3^{20}\cdot 71^{12}$ |
$2$ |
$130.968951875$ |
$130.96895187519303$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$94930923317.51544$ |
| 15.15.104...529.1 |
$x^{15} - x^{14} - 138 x^{13} + 199 x^{12} + 6929 x^{11} - 12063 x^{10} - 157948 x^{9} + 284032 x^{8} + 1754651 x^{7} - 2937677 x^{6} - 9064776 x^{5} + 12870179 x^{4} + 16617944 x^{3} - 18839782 x^{2} + 3647700 x - 183581$ |
$15$ |
[15,0] |
$13^{10}\cdot 31^{14}$ |
$2$ |
$136.322167425$ |
$136.32216742518625$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
$[3]$ |
$2$ |
$14$ |
$35183529541.906876$ |
| 15.15.104...529.2 |
$x^{15} - x^{14} - 138 x^{13} + 199 x^{12} + 6929 x^{11} - 12063 x^{10} - 153918 x^{9} + 286450 x^{8} + 1482626 x^{7} - 2537498 x^{6} - 5507898 x^{5} + 6506003 x^{4} + 7481934 x^{3} - 6753006 x^{2} - 3196046 x + 2524579$ |
$15$ |
[15,0] |
$13^{10}\cdot 31^{14}$ |
$2$ |
$136.322167425$ |
$136.32216742518625$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
$[3]$ |
$2$ |
$14$ |
$40012888441.73841$ |
| 15.15.138...881.1 |
$x^{15} - 2 x^{14} - 79 x^{13} + 208 x^{12} + 1972 x^{11} - 5720 x^{10} - 21178 x^{9} + 65923 x^{8} + 100680 x^{7} - 350546 x^{6} - 168943 x^{5} + 826932 x^{4} - 86756 x^{3} - 658269 x^{2} + 294489 x - 7213$ |
$15$ |
[15,0] |
$19^{10}\cdot 41^{12}$ |
$2$ |
$138.908712505$ |
$138.90871250452423$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$131418258185.00424$ |
| 15.15.286...625.1 |
$x^{15} - 5 x^{14} - 80 x^{13} + 290 x^{12} + 2545 x^{11} - 5909 x^{10} - 39850 x^{9} + 51015 x^{8} + 314635 x^{7} - 181935 x^{6} - 1227567 x^{5} + 144735 x^{4} + 2166295 x^{3} + 419510 x^{2} - 1278880 x - 477401$ |
$15$ |
[15,0] |
$5^{24}\cdot 37^{10}$ |
$2$ |
$145.820916328$ |
$145.8209163278497$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$234241175446.62338$ |
| 15.15.318...049.1 |
$x^{15} - 2 x^{14} - 131 x^{13} + 582 x^{12} + 4862 x^{11} - 37014 x^{10} + 4666 x^{9} + 624063 x^{8} - 2105658 x^{7} + 1891060 x^{6} + 3272277 x^{5} - 8403710 x^{4} + 5121648 x^{3} + 1384213 x^{2} - 2005313 x + 229963$ |
$15$ |
[15,0] |
$7^{10}\cdot 101^{12}$ |
$2$ |
$146.843860114$ |
$146.84386011427227$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$163490942894.50964$ |
| 15.15.346...041.1 |
$x^{15} - x^{14} - 98 x^{13} + 33 x^{12} + 3496 x^{11} + 320 x^{10} - 56185 x^{9} - 12878 x^{8} + 436039 x^{7} + 77800 x^{6} - 1621482 x^{5} - 146020 x^{4} + 2557353 x^{3} + 215635 x^{2} - 1305471 x - 67519$ |
$15$ |
[15,0] |
$211^{14}$ |
$1$ |
$147.682927119$ |
$147.68292711894006$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$175451316933$ |
| 15.15.365...529.1 |
$x^{15} - 2 x^{14} - 93 x^{13} + 144 x^{12} + 2960 x^{11} - 3738 x^{10} - 41558 x^{9} + 37495 x^{8} + 276726 x^{7} - 122146 x^{6} - 804863 x^{5} - 14194 x^{4} + 594218 x^{3} + 5239 x^{2} - 121589 x + 18863$ |
$15$ |
[15,0] |
$13^{10}\cdot 61^{12}$ |
$2$ |
$148.215208588$ |
$148.21520858775605$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$322714450041.6809$ |
| 15.15.128...625.1 |
$x^{15} - 5 x^{14} - 90 x^{13} + 345 x^{12} + 3125 x^{11} - 8439 x^{10} - 53115 x^{9} + 90315 x^{8} + 460840 x^{7} - 430345 x^{6} - 1946324 x^{5} + 750200 x^{4} + 3237450 x^{3} - 106595 x^{2} - 566105 x + 59599$ |
$15$ |
[15,0] |
$5^{24}\cdot 43^{10}$ |
$2$ |
$161.187358163$ |
$161.18735816291309$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$402299381527.07513$ |
| 15.15.222...961.1 |
$x^{15} - x^{14} - 112 x^{13} + 27 x^{12} + 4670 x^{11} + 1950 x^{10} - 88262 x^{9} - 82128 x^{8} + 746261 x^{7} + 913205 x^{6} - 2710134 x^{5} - 3747299 x^{4} + 3569665 x^{3} + 5422493 x^{2} - 548532 x - 1342853$ |
$15$ |
[15,0] |
$241^{14}$ |
$1$ |
$167.192159163$ |
$167.19215916273478$ |
|
✓ |
|
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$709889982969$ |
| 15.15.226...609.1 |
$x^{15} - 2 x^{14} - 105 x^{13} + 334 x^{12} + 3348 x^{11} - 14720 x^{10} - 27588 x^{9} + 198291 x^{8} - 60296 x^{7} - 857980 x^{6} + 806127 x^{5} + 1390892 x^{4} - 1587370 x^{3} - 853079 x^{2} + 749403 x + 261871$ |
$15$ |
[15,0] |
$13^{10}\cdot 71^{12}$ |
$2$ |
$167.353800944$ |
$167.3538009437922$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
trivial |
$2$ |
$14$ |
$444156020841.87354$ |
| 15.15.237...441.1 |
$x^{15} - x^{14} - 138 x^{13} - 80 x^{12} + 6278 x^{11} + 13450 x^{10} - 98056 x^{9} - 360148 x^{8} + 54921 x^{7} + 1300271 x^{6} + 477210 x^{5} - 1783924 x^{4} - 627480 x^{3} + 972256 x^{2} + 154496 x - 141824$ |
$15$ |
[15,0] |
$11^{12}\cdot 31^{14}$ |
$2$ |
$167.900399324$ |
$167.90039932398548$ |
|
✓ |
|
$C_{15}$ (as 15T1) |
$[5]$ |
$2$ |
$14$ |
$2170143402898142.5$ |
| 15.15.237...441.2 |
$x^{15} - x^{14} - 138 x^{13} + 261 x^{12} + 5937 x^{11} - 14853 x^{10} - 78278 x^{9} + 180337 x^{8} + 345794 x^{7} - 482477 x^{6} - 731294 x^{5} + 270601 x^{4} + 509073 x^{3} + 18479 x^{2} - 93070 x - 15313$ |
$15$ |
[15,0] |
$11^{12}\cdot 31^{14}$ |
$2$ |
$167.900399324$ |
$167.90039932398548$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
$[5]$ |
$2$ |
$14$ |
$228738890590.5845$ |
| 15.15.237...441.3 |
$x^{15} - x^{14} - 138 x^{13} + 261 x^{12} + 5937 x^{11} - 13489 x^{10} - 113742 x^{9} + 294231 x^{8} + 1029158 x^{7} - 3121135 x^{6} - 3764830 x^{5} + 15651747 x^{4} + 191261 x^{3} - 29662843 x^{2} + 18560312 x + 2683361$ |
$15$ |
[15,0] |
$11^{12}\cdot 31^{14}$ |
$2$ |
$167.900399324$ |
$167.90039932398548$ |
|
✓ |
? |
$C_{15}$ (as 15T1) |
$[5]$ |
$2$ |
$14$ |
$93963096289.74506$ |
