| 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 |
| 15.1.44543599279432079.1 |
$x^{15} - 4 x^{14} + 4 x^{13} + 4 x^{12} - 5 x^{11} - 13 x^{10} + 20 x^{9} + 4 x^{8} - 15 x^{7} - 13 x^{6} + 27 x^{5} - 4 x^{4} - 8 x^{3} - 2 x^{2} + 6 x - 1$ |
$15$ |
[1,7] |
$-\,239^{7}$ |
$1$ |
$12.8800936408$ |
$15.459624833740307$ |
|
|
? |
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$124.657592501$ |
| 15.1.677952124826430464.1 |
$x^{15} - x^{14} + 4 x^{13} + 4 x^{11} - 2 x^{10} - 6 x^{9} - 12 x^{8} - 25 x^{7} + 19 x^{6} - 6 x^{5} + 28 x^{4} + 32 x^{3} - 36 x^{2} + 4 x + 4$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 131^{7}$ |
$2$ |
$15.4435309131$ |
$18.168635476349255$ |
|
|
|
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$1343.20606196$ |
| 15.1.314...479.1 |
$x^{15} - 5 x^{14} + 11 x^{13} - 9 x^{12} - 7 x^{11} + 17 x^{10} - x^{9} - 29 x^{8} + 38 x^{7} - 13 x^{6} - 20 x^{5} + 24 x^{4} + 7 x^{3} - 23 x^{2} + 13 x - 1$ |
$15$ |
[1,7] |
$-\,439^{7}$ |
$1$ |
$17.1060646655$ |
$20.952326839756964$ |
|
|
|
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$2414.83246229$ |
| 15.1.494...375.1 |
$x^{15} - 6 x^{12} + 9 x^{11} + 20 x^{10} + 57 x^{9} + 29 x^{8} + 27 x^{7} - 53 x^{6} - 44 x^{5} - 84 x^{4} - 43 x^{3} - 100 x^{2} - 75 x - 55$ |
$15$ |
[1,7] |
$-\,5^{10}\cdot 47^{7}$ |
$2$ |
$17.6316248441$ |
$20.046055658633293$ |
|
|
? |
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$1727.98179688$ |
| 15.1.602...616.1 |
$x^{15} - 3 x^{14} + 10 x^{13} - 18 x^{12} + 41 x^{11} - 61 x^{10} + 57 x^{9} - 103 x^{8} + 29 x^{7} - 57 x^{6} + 17 x^{5} - 31 x^{4} + 12 x^{3} - 2 x^{2} + 3 x - 1$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 179^{7}$ |
$2$ |
$17.8656194193$ |
$21.237978619971454$ |
|
|
|
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$4800.51400574$ |
| 15.1.318...272.1 |
$x^{15} - 3 x^{14} - 4 x^{13} + 6 x^{12} + 20 x^{11} - 8 x^{10} + 10 x^{9} + 50 x^{8} - 45 x^{7} - 65 x^{6} + 106 x^{5} + 80 x^{4} - 20 x^{3} - 40 x^{2} - 20 x - 4$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 227^{7}$ |
$2$ |
$19.9602233732$ |
$23.916608385226205$ |
|
|
|
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$13535.3893625$ |
| 15.1.612...591.1 |
$x^{15} - 3 x^{14} + 6 x^{13} - x^{12} - 20 x^{11} + 56 x^{10} - 81 x^{9} + 46 x^{8} + 90 x^{7} - 299 x^{6} + 481 x^{5} - 522 x^{4} + 403 x^{3} - 201 x^{2} + 44 x + 11$ |
$15$ |
[1,7] |
$-\,11^{7}\cdot 61^{7}$ |
$2$ |
$20.8514939353$ |
$25.903667693977237$ |
|
|
? |
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$8053.72361025$ |
| 15.1.134...751.1 |
$x^{15} - 5 x^{14} + 9 x^{13} - 6 x^{12} + 7 x^{11} - 12 x^{10} + 17 x^{9} - 29 x^{8} + 2 x^{7} - 4 x^{6} + 21 x^{5} - 9 x^{4} + 53 x^{3} + 12 x^{2} + 25 x - 1$ |
$15$ |
[1,7] |
$-\,751^{7}$ |
$1$ |
$21.9768429136$ |
$27.40437921208944$ |
|
|
|
$D_{15}$ (as 15T2) |
$[2]$ |
$2$ |
$7$ |
$10575.7740384$ |
| 15.1.143...287.1 |
$x^{15} - x^{14} + 3 x^{13} - 21 x^{12} + 23 x^{11} + 8 x^{10} + 39 x^{9} - 113 x^{8} - 64 x^{7} + 132 x^{6} + 251 x^{5} + 261 x^{4} - 646 x^{3} + 393 x^{2} - 110 x + 13$ |
$15$ |
[1,7] |
$-\,7^{10}\cdot 47^{7}$ |
$2$ |
$22.0653604887$ |
$25.086936025192795$ |
|
|
? |
$D_{15}$ (as 15T2) |
$[3]$ |
$2$ |
$7$ |
$3725.0006398$ |
| 15.1.151...431.1 |
$x^{15} - 3 x^{14} + 12 x^{13} - 5 x^{12} + 21 x^{11} + 15 x^{10} + 43 x^{9} + 54 x^{8} + 60 x^{7} + 93 x^{6} + 96 x^{5} + 108 x^{4} + 105 x^{3} + 72 x^{2} + 36 x + 9$ |
$15$ |
[1,7] |
$-\,3^{17}\cdot 53^{7}$ |
$2$ |
$22.151314058$ |
$26.228859011337757$ |
|
|
? |
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$22591.3171442$ |
| 15.1.238...375.1 |
$x^{15} - 5 x^{14} + 9 x^{13} - 11 x^{12} + 24 x^{11} - 54 x^{10} + 89 x^{9} - 73 x^{8} - 58 x^{7} + 102 x^{6} + 74 x^{5} - 58 x^{4} - 35 x^{3} - 230 x^{2} + 325 x - 125$ |
$15$ |
[1,7] |
$-\,5^{7}\cdot 163^{7}$ |
$2$ |
$22.8318034655$ |
$28.548204847240395$ |
|
|
|
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$40338.4843769$ |
| 15.1.620...712.1 |
$x^{15} - 3 x^{14} - 3 x^{13} + 18 x^{12} + 3 x^{11} - 153 x^{10} + 454 x^{9} - 589 x^{8} + 269 x^{7} + 134 x^{6} - 187 x^{5} - 11 x^{4} + 163 x^{3} - 146 x^{2} + 68 x - 14$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 347^{7}$ |
$2$ |
$24.3317727699$ |
$29.570005218583272$ |
|
|
|
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$74054.3786112$ |
| 15.1.813...691.1 |
$x^{15} - 5 x^{14} + 8 x^{13} + x^{12} - 12 x^{11} + x^{10} + 22 x^{9} - 41 x^{8} + 44 x^{7} + 27 x^{6} + 12 x^{5} + 59 x^{4} + 137 x^{3} + 10 x^{2} + 108 x + 32$ |
$15$ |
[1,7] |
$-\,971^{7}$ |
$1$ |
$24.7762537703$ |
$31.160872901765767$ |
|
|
|
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$178567.625718$ |
| 15.1.105...543.1 |
$x^{15} - 5 x^{14} + 17 x^{13} - 32 x^{12} + 26 x^{11} + 31 x^{10} - 129 x^{9} + 146 x^{8} - x^{7} - 163 x^{6} + 214 x^{5} - 153 x^{4} + 36 x^{3} + 17 x^{2} + 19 x - 19$ |
$15$ |
[1,7] |
$-\,19^{7}\cdot 53^{7}$ |
$2$ |
$25.2007666482$ |
$31.73326330524486$ |
|
|
? |
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$36282.8242959$ |
| 15.1.120...375.1 |
$x^{15} - 4 x^{14} + 15 x^{13} - 35 x^{12} + 81 x^{11} - 154 x^{10} + 281 x^{9} - 520 x^{8} + 867 x^{7} - 1306 x^{6} + 1697 x^{5} - 2077 x^{4} + 2255 x^{3} - 1866 x^{2} + 1049 x - 257$ |
$15$ |
[1,7] |
$-\,5^{10}\cdot 103^{7}$ |
$2$ |
$25.4275221375$ |
$29.675538959528588$ |
|
|
|
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$72424.3618661$ |
| 15.1.176...663.1 |
$x^{15} - 3 x^{13} - 17 x^{12} - 27 x^{11} + 48 x^{10} + 165 x^{9} + 306 x^{8} - 45 x^{7} - 918 x^{6} - 1251 x^{5} - 633 x^{4} + 2241 x^{3} + 864 x^{2} - 675 x - 325$ |
$15$ |
[1,7] |
$-\,3^{20}\cdot 47^{7}$ |
$2$ |
$26.0899956484$ |
$29.66269470481324$ |
|
|
? |
$D_{15}$ (as 15T2) |
$[3]$ |
$2$ |
$7$ |
$14560.9805563$ |
| 15.1.246...375.1 |
$x^{15} - 10 x^{12} + 15 x^{11} - 24 x^{10} + 95 x^{9} - 90 x^{8} + 90 x^{7} - 125 x^{6} + 27 x^{5} + 90 x^{4} + 120 x^{3} + 195 x^{2} + 90 x + 33$ |
$15$ |
[1,7] |
$-\,3^{17}\cdot 5^{19}$ |
$2$ |
$26.6746928583$ |
$29.194595979271636$ |
|
|
? |
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$159555.792803$ |
| 15.1.342...368.1 |
$x^{15} - 6 x^{14} + 26 x^{13} - 74 x^{12} + 169 x^{11} - 242 x^{10} + 94 x^{9} + 786 x^{8} - 2697 x^{7} + 5514 x^{6} - 7846 x^{5} + 8590 x^{4} - 6977 x^{3} + 4350 x^{2} - 1778 x + 490$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 443^{7}$ |
$2$ |
$27.2693677852$ |
$33.410927107861845$ |
|
|
|
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$191156.293017$ |
| 15.1.501...219.1 |
$x^{15} - 5 x^{14} + 11 x^{13} - 68 x^{11} + 200 x^{10} - 325 x^{9} + 349 x^{8} - 255 x^{7} + 96 x^{6} + 136 x^{5} - 232 x^{4} + 16 x^{3} + 64 x^{2} + 128$ |
$15$ |
[1,7] |
$-\,1259^{7}$ |
$1$ |
$27.969111743$ |
$35.482389998420345$ |
|
|
|
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$487363.237089$ |
| 15.1.520...375.1 |
$x^{15} - 5 x^{14} + 14 x^{13} - 18 x^{12} + 7 x^{11} - 12 x^{10} - 60 x^{9} + 94 x^{8} + 227 x^{7} - 457 x^{6} - 779 x^{5} + 111 x^{4} + 506 x^{3} + 183 x^{2} - 127$ |
$15$ |
[1,7] |
$-\,5^{10}\cdot 127^{7}$ |
$2$ |
$28.0385191477$ |
$32.95200640537238$ |
|
|
|
$D_{15}$ (as 15T2) |
$[2]$ |
$2$ |
$7$ |
$81920.0478513$ |
| 15.1.694...839.1 |
$x^{15} - 7 x^{14} + 22 x^{13} - 11 x^{12} - 74 x^{11} + 206 x^{10} - 342 x^{9} + 436 x^{8} - 407 x^{7} + 299 x^{6} - 212 x^{5} + 123 x^{4} - 31 x^{3} - 5 x^{2} + 2 x + 1$ |
$15$ |
[1,7] |
$-\,1319^{7}$ |
$1$ |
$28.5834231011$ |
$36.318039594669756$ |
|
|
|
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$74047.804423$ |
| 15.1.724...103.1 |
$x^{15} - 6 x^{14} + 16 x^{13} - 24 x^{12} + 38 x^{11} + x^{10} + 24 x^{9} + 3 x^{8} + 52 x^{7} - 20 x^{6} + 13 x^{5} + 100 x^{4} - 18 x^{3} - 21 x^{2} + 83 x + 1$ |
$15$ |
[1,7] |
$-\,1327^{7}$ |
$1$ |
$28.6641959483$ |
$36.42801120017397$ |
|
|
|
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$225706.053096$ |
| 15.1.109...728.1 |
$x^{15} - 5 x^{13} + 15 x^{11} - 2 x^{10} + 17 x^{9} - 156 x^{8} - 156 x^{7} + 454 x^{6} + 120 x^{5} - 1736 x^{4} - 668 x^{3} - 408 x^{2} + 32 x - 8$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 523^{7}$ |
$2$ |
$29.4659729105$ |
$36.30258142598178$ |
|
|
|
$D_{15}$ (as 15T2) |
$[2]$ |
$2$ |
$7$ |
$336028.882665$ |
| 15.1.119...375.1 |
$x^{15} - 4 x^{14} + x^{13} + 10 x^{12} + 11 x^{11} - 75 x^{10} + 116 x^{9} - 188 x^{8} + 476 x^{7} - 855 x^{6} + 932 x^{5} - 1271 x^{4} + 2407 x^{3} - 2920 x^{2} + 2145 x - 715$ |
$15$ |
[1,7] |
$-\,5^{10}\cdot 11^{7}\cdot 13^{7}$ |
$3$ |
$29.6349014293$ |
$34.966166531003054$ |
|
|
? |
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$222951.843712$ |
| 15.1.120...403.1 |
$x^{15} - 2 x^{13} - 16 x^{12} + 8 x^{11} + 54 x^{10} + 58 x^{9} + 96 x^{8} + 82 x^{7} + 72 x^{6} + 264 x^{5} + 402 x^{4} + 485 x^{3} + 368 x^{2} + 184 x + 40$ |
$15$ |
[1,7] |
$-\,1427^{7}$ |
$1$ |
$29.6527189124$ |
$37.77565353504821$ |
|
|
|
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$938357.040913$ |
| 15.1.131...263.1 |
$x^{15} - 4 x^{14} + 20 x^{13} - 28 x^{12} + 83 x^{11} - 11 x^{10} + 357 x^{9} + 127 x^{8} + 774 x^{7} + 2177 x^{6} + 2433 x^{5} + 1022 x^{4} + 6820 x^{3} + 7141 x^{2} + 2800 x + 313$ |
$15$ |
[1,7] |
$-\,11^{10}\cdot 47^{7}$ |
$2$ |
$29.8245653937$ |
$33.90866713429379$ |
|
|
? |
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$121619.15718$ |
| 15.1.138...263.1 |
$x^{15} - 6 x^{14} + 15 x^{13} - 16 x^{12} - 24 x^{11} + 108 x^{10} - 116 x^{9} + 54 x^{8} + 216 x^{7} - 258 x^{6} + 87 x^{5} + 117 x^{4} - 264 x^{3} + 18 x^{2} + 108 x + 27$ |
$15$ |
[1,7] |
$-\,3^{17}\cdot 101^{7}$ |
$2$ |
$29.9286685383$ |
$36.20780108497939$ |
|
|
? |
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$359715.566347$ |
| 15.1.160...000.1 |
$x^{15} - 15 x^{12} - 20 x^{11} - 36 x^{10} + 75 x^{9} + 200 x^{8} + 110 x^{7} - 475 x^{6} - 480 x^{5} + 350 x^{4} + 500 x^{3} - 1100 x^{2} + 500 x - 100$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 5^{19}\cdot 7^{7}$ |
$3$ |
$30.2292766115$ |
$34.03272225543917$ |
|
|
|
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$913440.648087$ |
| 15.1.202...384.1 |
$x^{15} - 7 x^{14} + 20 x^{13} - 32 x^{12} + 27 x^{11} + 5 x^{10} + 21 x^{9} - 267 x^{8} + 615 x^{7} - 795 x^{6} + 1025 x^{5} - 1443 x^{4} + 1530 x^{3} - 1188 x^{2} + 729 x - 243$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 571^{7}$ |
$2$ |
$30.6984782475$ |
$37.93191056327041$ |
|
|
|
$D_{15}$ (as 15T2) |
$[2]$ |
$2$ |
$7$ |
$420279.707763$ |
| 15.1.231...823.1 |
$x^{15} - 5 x^{14} + 23 x^{13} - 66 x^{12} + 140 x^{11} - 211 x^{10} + 217 x^{9} - 270 x^{8} + 455 x^{7} - 685 x^{6} + 904 x^{5} - 975 x^{4} + 826 x^{3} - 521 x^{2} + 251 x - 75$ |
$15$ |
[1,7] |
$-\,1567^{7}$ |
$1$ |
$30.9764894868$ |
$39.585350825778974$ |
|
|
|
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$404180.593485$ |
| 15.1.291...939.1 |
$x^{15} - x^{14} + 5 x^{13} + 5 x^{12} + 20 x^{11} + 22 x^{10} + 57 x^{9} + 461 x^{8} + 85 x^{7} - 31 x^{6} - 376 x^{5} + 56 x^{4} + 336 x^{3} - 64 x^{2} - 128 x + 64$ |
$15$ |
[1,7] |
$-\,1619^{7}$ |
$1$ |
$31.452019005$ |
$40.23679907746142$ |
|
|
|
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$1363950.18144$ |
| 15.1.325...904.1 |
$x^{15} - x^{14} + 2 x^{13} + 2 x^{12} + 42 x^{11} - 70 x^{10} + 140 x^{9} - 96 x^{8} + 293 x^{7} - 541 x^{6} + 510 x^{5} - 570 x^{4} + 380 x^{3} - 216 x^{2} + 120 x - 28$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 13^{7}\cdot 47^{7}$ |
$3$ |
$31.6839433824$ |
$39.23803668599558$ |
|
|
|
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$645647.809273$ |
| 15.1.347...263.1 |
$x^{15} - 4 x^{14} + 3 x^{13} + 8 x^{12} + 27 x^{11} - 92 x^{10} + 113 x^{9} + 8 x^{8} + 334 x^{7} - 96 x^{6} + 2102 x^{5} - 1080 x^{4} + 2129 x^{3} - 773 x^{2} + 570 x - 225$ |
$15$ |
[1,7] |
$-\,7^{10}\cdot 103^{7}$ |
$2$ |
$31.8216526984$ |
$37.13789685454593$ |
|
|
|
$D_{15}$ (as 15T2) |
$[3]$ |
$2$ |
$7$ |
$147159.120328$ |
| 15.1.356...536.1 |
$x^{15} - 2 x^{14} - 3 x^{13} - 11 x^{12} + 57 x^{11} + 47 x^{10} + 40 x^{9} - 99 x^{8} + 159 x^{7} + 754 x^{6} + 1337 x^{5} + 1473 x^{4} + 1003 x^{3} + 669 x^{2} + 286 x + 121$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 619^{7}$ |
$2$ |
$31.8768672119$ |
$39.49407879378696$ |
|
|
|
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$1075964.47617$ |
| 15.1.426...000.1 |
$x^{15} - 7 x^{14} + 32 x^{13} - 114 x^{12} + 352 x^{11} - 874 x^{10} + 1982 x^{9} - 3764 x^{8} + 6467 x^{7} - 9379 x^{6} + 12046 x^{5} - 12842 x^{4} + 11320 x^{3} - 7720 x^{2} + 3200 x - 500$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 5^{7}\cdot 127^{7}$ |
$3$ |
$32.2587649117$ |
$40.00124664765448$ |
|
|
|
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$1804580.53513$ |
| 15.1.669...847.1 |
$x^{15} - 6 x^{14} + 16 x^{13} - 41 x^{12} + 67 x^{11} - 53 x^{10} + 156 x^{9} - 529 x^{8} + 588 x^{7} + 168 x^{6} - 271 x^{5} - 1281 x^{4} + 1423 x^{3} - 254 x^{2} + 152 x - 200$ |
$15$ |
[1,7] |
$-\,1823^{7}$ |
$1$ |
$33.2430180474$ |
$42.69660408041839$ |
|
|
|
$D_{15}$ (as 15T2) |
$[2]$ |
$2$ |
$7$ |
$164195.256154$ |
| 15.1.669...759.1 |
$x^{15} - 19 x^{12} + 36 x^{11} - 39 x^{10} + 59 x^{9} - 126 x^{8} + 648 x^{7} - 556 x^{6} + 585 x^{5} + 93 x^{4} + 319 x^{3} - 297 x^{2} + 1116 x + 1071$ |
$15$ |
[1,7] |
$-\,3^{20}\cdot 79^{7}$ |
$2$ |
$33.2445900758$ |
$38.456983737546345$ |
|
|
? |
$D_{15}$ (as 15T2) |
$[2]$ |
$2$ |
$7$ |
$145411.427122$ |
| 15.1.709...248.1 |
$x^{15} - 5 x^{14} + 9 x^{13} - 12 x^{12} - 11 x^{11} + 101 x^{10} - 28 x^{9} - 237 x^{8} + 255 x^{7} - 192 x^{6} - 1149 x^{5} + 1321 x^{4} + 3451 x^{3} - 2676 x^{2} - 1724 x - 260$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 683^{7}$ |
$2$ |
$33.3746196869$ |
$41.48556561210654$ |
|
|
|
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$993869.585586$ |
| 15.1.724...264.1 |
$x^{15} - 6 x^{14} + 24 x^{13} - 70 x^{12} + 126 x^{11} - 214 x^{10} + 284 x^{9} - 258 x^{8} + 349 x^{7} - 308 x^{6} + 172 x^{5} - 472 x^{4} + 244 x^{3} - 336 x^{2} + 208 x - 256$ |
$15$ |
[1,7] |
$-\,2^{14}\cdot 461^{7}$ |
$2$ |
$33.4211785911$ |
$42.941821107167776$ |
|
|
|
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$29224114.7546$ |
| 15.1.770...344.1 |
$x^{15} - 3 x^{14} + 18 x^{13} - 46 x^{12} + 134 x^{11} - 262 x^{10} + 548 x^{9} - 748 x^{8} + 1117 x^{7} - 883 x^{6} + 422 x^{5} + 1266 x^{4} - 2232 x^{3} + 4104 x^{2} - 3240 x + 972$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 691^{7}$ |
$2$ |
$33.5564816377$ |
$41.72781914927636$ |
|
|
|
$D_{15}$ (as 15T2) |
$[2]$ |
$2$ |
$7$ |
$817777.771658$ |
| 15.1.802...991.1 |
$x^{15} - x^{14} + 9 x^{13} - 11 x^{12} + 38 x^{11} + 29 x^{10} - 84 x^{9} - 127 x^{8} + 207 x^{7} - 580 x^{6} + 1017 x^{5} - 944 x^{4} + 704 x^{3} - 69 x^{2} - 81 x - 19$ |
$15$ |
[1,7] |
$-\,1871^{7}$ |
$1$ |
$33.6486595062$ |
$43.255057507764334$ |
|
|
? |
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$198116.498535$ |
| 15.1.834...576.1 |
$x^{15} - 6 x^{14} + 5 x^{13} + 14 x^{12} + 12 x^{11} - 8 x^{10} - 7 x^{9} - 12 x^{8} + 16 x^{7} - 44 x^{6} + 9 x^{5} + 176 x^{4} + 99 x^{3} - 30 x^{2} + 18$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 3^{7}\cdot 233^{7}$ |
$3$ |
$33.737224087$ |
$41.96867436258897$ |
|
|
|
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$9556346.09032$ |
| 15.1.123...896.1 |
$x^{15} + x^{13} - 18 x^{12} + 32 x^{11} - 50 x^{10} + 129 x^{9} - 114 x^{8} + 232 x^{7} - 146 x^{6} + 73 x^{5} + 238 x^{4} - 249 x^{3} + 270 x^{2} - 232 x + 76$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 739^{7}$ |
$2$ |
$34.62481022$ |
$43.15279031238447$ |
|
|
|
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$2260889.53066$ |
| 15.1.178...416.1 |
$x^{15} - 7 x^{14} + 23 x^{13} - 62 x^{12} + 131 x^{11} - 165 x^{10} + 144 x^{9} - 23 x^{8} + 95 x^{7} - 980 x^{6} + 1441 x^{5} - 891 x^{4} - 311 x^{3} + 1416 x^{2} + 1520 x - 608$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 19^{7}\cdot 41^{7}$ |
$3$ |
$35.4871245435$ |
$44.305270518711566$ |
|
|
|
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$1437362.27821$ |
| 15.1.187...939.1 |
$x^{15} - 4 x^{14} + 13 x^{13} - 29 x^{12} - 9 x^{11} + 183 x^{10} + 89 x^{9} - 693 x^{8} - 495 x^{7} + 1185 x^{6} + 1953 x^{5} - 895 x^{4} - 3026 x^{3} - 2703 x^{2} - 1158 x - 188$ |
$15$ |
[1,7] |
$-\,7^{10}\cdot 131^{7}$ |
$2$ |
$35.6007076997$ |
$41.88266818867061$ |
|
|
|
$D_{15}$ (as 15T2) |
$[3]$ |
$2$ |
$7$ |
$972834.831268$ |
| 15.1.191...192.1 |
$x^{15} - 3 x^{14} + 9 x^{13} + 17 x^{12} - 2 x^{11} + 80 x^{10} + 276 x^{9} + 600 x^{8} + 168 x^{7} + 1864 x^{6} + 2920 x^{5} + 6224 x^{4} + 4896 x^{3} + 656 x^{2} - 272 x + 16$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 787^{7}$ |
$2$ |
$35.6567321675$ |
$44.532187601043475$ |
|
|
|
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$3272368.23921$ |
| 15.1.218...519.1 |
$x^{15} - 15 x^{12} + 14 x^{11} + 101 x^{10} + 110 x^{9} - 304 x^{8} - 603 x^{7} - 60 x^{6} + 921 x^{5} + 1057 x^{4} + 735 x^{3} + 384 x^{2} + 117 x + 1$ |
$15$ |
[1,7] |
$-\,17^{7}\cdot 127^{7}$ |
$2$ |
$35.9736550925752$ |
$46.46504062195577$ |
|
|
? |
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$394621.8981164832$ |
| 15.1.303...875.1 |
$x^{15} - 2 x^{14} + 2 x^{13} - 9 x^{12} + 49 x^{11} + 172 x^{10} + 646 x^{9} + 1173 x^{8} + 2371 x^{7} + 3456 x^{6} + 4388 x^{5} + 4043 x^{4} + 3358 x^{3} + 1844 x^{2} + 864 x + 256$ |
$15$ |
[1,7] |
$-\,5^{10}\cdot 227^{7}$ |
$2$ |
$36.7670458135$ |
$44.054769315910065$ |
|
|
|
$D_{15}$ (as 15T2) |
$[2]$ |
$2$ |
$7$ |
$2469699.49387$ |
| 15.1.345...343.1 |
$x^{15} - 7 x^{14} + 22 x^{13} - 38 x^{12} + 86 x^{11} - 206 x^{10} + 364 x^{9} - 800 x^{8} - 1462 x^{7} + 615 x^{6} - 6007 x^{5} + 2169 x^{4} - 965 x^{3} - 13194 x^{2} + 6050 x - 19375$ |
$15$ |
[1,7] |
$-\,7^{10}\cdot 11^{7}\cdot 13^{7}$ |
$3$ |
$37.0870404099$ |
$43.758931819174485$ |
|
|
? |
$D_{15}$ (as 15T2) |
$[3]$ |
$2$ |
$7$ |
$478768.310095$ |
| 15.1.428...287.1 |
$x^{15} + 15 x^{13} - 7 x^{12} + 99 x^{11} - 48 x^{10} + 306 x^{9} + 360 x^{8} + 651 x^{7} - 292 x^{6} + 189 x^{5} + 255 x^{4} - 1075 x^{3} - 783 x^{2} + 261 x + 603$ |
$15$ |
[1,7] |
$-\,3^{20}\cdot 103^{7}$ |
$2$ |
$37.6257972695$ |
$43.91170349655221$ |
|
|
? |
$D_{15}$ (as 15T2) |
trivial |
$2$ |
$7$ |
$1012274.34074$ |
