| 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 |
| 17.1.133094720815439153.1 |
$x^{17} - 2 x^{16} + 7 x^{15} - 12 x^{14} + 22 x^{13} - 34 x^{12} + 46 x^{11} - 61 x^{10} + 65 x^{9} - 65 x^{8} + 53 x^{7} - 36 x^{6} + 20 x^{5} - 5 x^{4} - x^{3} + 4 x^{2} - 2 x + 1$ |
$17$ |
[1,8] |
$316968877\cdot 419898389$ |
$2$ |
$10.1695931395$ |
$364821491.7126445$ |
|
|
? |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$8$ |
$23.323533439$ |
| 17.1.231494845017984433.1 |
$x^{17} - x^{16} + 2 x^{13} + x^{12} - 5 x^{11} + x^{10} + 3 x^{9} + 3 x^{8} - x^{7} - 7 x^{6} + 2 x^{5} + 6 x^{4} + x^{3} - 3 x^{2} - 3 x - 1$ |
$17$ |
[1,8] |
$59^{2}\cdot 1217\cdot 1579\cdot 34607051$ |
$4$ |
$10.5061502476$ |
$62638977.010985635$ |
|
|
? |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$8$ |
$32.0498639783$ |
| 17.1.142...644.1 |
$x^{17} - 2 x^{16} - x^{15} + 5 x^{14} - x^{13} - 8 x^{12} + 6 x^{11} + 8 x^{10} - 11 x^{9} - 3 x^{8} + 13 x^{7} - 3 x^{6} - 8 x^{5} + 5 x^{4} + 3 x^{3} - 3 x^{2} + 1$ |
$17$ |
[1,8] |
$2^{2}\cdot 1697\cdot 20928611178427313$ |
$3$ |
$15.3263991543$ |
$9460144926.331247$ |
|
|
✓ |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$8$ |
$1990.43257715$ |
| 17.1.463...841.1 |
$x^{17} - x^{16} - x^{15} - x^{14} + x^{12} + 13 x^{11} + 7 x^{10} + 11 x^{9} + 4 x^{8} + x^{7} + 7 x^{6} + 23 x^{5} + 31 x^{4} + 42 x^{3} + 24 x^{2} + 6 x - 1$ |
$17$ |
[1,8] |
$383^{8}$ |
$1$ |
$16.4294472544$ |
$19.570385790780925$ |
|
|
? |
$D_{17}$ (as 17T2) |
trivial |
$2$ |
$8$ |
$2610.31631075$ |
| 17.1.808...561.1 |
$x^{17} - x - 1$ |
$17$ |
[1,8] |
$808793517812627212561$ |
$1$ |
$16.9774634294$ |
$28439295311.463455$ |
|
|
✓ |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$8$ |
$3677.70492523$ |
| 17.1.103...032.1 |
$x^{17} - 2 x^{16} - x^{15} + 5 x^{14} - x^{13} - 8 x^{12} + 6 x^{11} + 8 x^{10} - 11 x^{9} - 3 x^{8} + 12 x^{7} - 3 x^{6} - 7 x^{5} + 5 x^{4} + 3 x^{3} - 3 x^{2} + 1$ |
$17$ |
[1,8] |
$2^{3}\cdot 3^{2}\cdot 373\cdot 38369969405192597$ |
$4$ |
$17.2210945759$ |
|
|
|
✓ |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$8$ |
$7633.46863529$ |
| 17.1.175...952.1 |
$x^{17} - 4 x - 4$ |
$17$ |
[1,8] |
$2^{16}\cdot 63535033\cdot 4221738529$ |
$3$ |
$20.348317308$ |
$994430978.0542748$ |
|
|
? |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$8$ |
$38635.7554956$ |
| 17.1.124...441.1 |
$x^{17} - 4 x^{16} + 6 x^{15} - 5 x^{14} + 7 x^{13} - 17 x^{12} + 24 x^{11} - 16 x^{10} + 42 x^{9} - 83 x^{8} + 82 x^{7} - 72 x^{6} + 37 x^{5} + 24 x^{4} - 10 x^{3} + 14 x^{2} - 2 x + 1$ |
$17$ |
[1,8] |
$11^{8}\cdot 17^{12}$ |
$2$ |
$22.8359627415$ |
$27.767260433656443$ |
|
|
? |
$C_{17}:C_{4}$ (as 17T3) |
trivial |
$2$ |
$8$ |
$83428.2679357$ |
| 17.1.239...153.1 |
$x^{17} - 34 x^{12} + 17 x^{11} + 85 x^{10} + 102 x^{9} - 170 x^{8} - 272 x^{7} - 68 x^{6} + 255 x^{5} + 255 x^{4} + 68 x^{3} + 17 x^{2} + 17 x + 4$ |
$17$ |
[1,8] |
$17^{19}$ |
$1$ |
$23.7250763118$ |
$27.737240813400426$ |
|
|
? |
$F_{17}$ (as 17T5) |
trivial |
$2$ |
$8$ |
$195995.113671$ |
| 17.1.604...088.1 |
$x^{17} - 2 x^{16} + 8 x^{13} + 16 x^{12} - 16 x^{11} + 64 x^{9} - 32 x^{8} - 80 x^{7} + 32 x^{6} + 40 x^{5} + 80 x^{4} + 16 x^{3} - 128 x^{2} - 2 x + 68$ |
$17$ |
[1,8] |
$2^{79}$ |
$1$ |
$25.0555590588$ |
$30.64330498235436$ |
|
|
? |
$F_{17}$ (as 17T5) |
trivial |
$2$ |
$8$ |
$600164.932841$ |
| 17.1.930...721.1 |
$x^{17} - x^{16} + 4 x^{15} - 18 x^{14} + 11 x^{13} + 14 x^{12} + 21 x^{11} - 62 x^{10} + 14 x^{9} + 50 x^{8} + 54 x^{7} - 121 x^{6} - 7 x^{5} + 36 x^{4} + 64 x^{3} - 23 x^{2} + 43 x + 1$ |
$17$ |
[1,8] |
$991^{8}$ |
$1$ |
$25.6990467175$ |
$31.480152477394387$ |
|
|
|
$D_{17}$ (as 17T2) |
trivial |
$2$ |
$8$ |
$323467.453718$ |
| 17.1.183...561.1 |
$x^{17} - x^{16} + 5 x^{15} - 19 x^{14} + 26 x^{13} - 30 x^{12} + 44 x^{11} - 48 x^{10} + 39 x^{9} - 62 x^{8} + 30 x^{7} + 112 x^{6} - 4 x^{5} + 16 x^{4} - 62 x^{3} + 180 x^{2} + 35 x + 49$ |
$17$ |
[1,8] |
$13^{8}\cdot 83^{8}$ |
$2$ |
$26.7487941926$ |
$32.848135411313685$ |
|
|
? |
$D_{17}$ (as 17T2) |
trivial |
$2$ |
$8$ |
$257874.899874$ |
| 17.1.186...536.1 |
$x^{17} - 7 x^{16} + 22 x^{15} - 34 x^{14} + 16 x^{13} + 8 x^{12} - 48 x^{11} + 12 x^{10} - 76 x^{8} + 46 x^{7} - 34 x^{6} - 32 x^{5} + 32 x^{4} - 20 x^{3} + 9 x - 3$ |
$17$ |
[1,8] |
$2^{41}\cdot 3^{25}$ |
$2$ |
$26.770866167774575$ |
|
|
|
? |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$8$ |
$1860535.6396997238$ |
| 17.1.200...521.1 |
$x^{17} - 2 x^{16} + 4 x^{15} - 18 x^{14} + 10 x^{13} - 16 x^{12} + 44 x^{11} + 10 x^{10} + 72 x^{9} + 18 x^{8} + 134 x^{7} + 88 x^{6} + 275 x^{5} + 200 x^{4} + 220 x^{3} + 240 x^{2} + 80 x + 64$ |
$17$ |
[1,8] |
$1091^{8}$ |
$1$ |
$26.8883769874$ |
$33.03028912982749$ |
|
|
|
$D_{17}$ (as 17T2) |
trivial |
$2$ |
$8$ |
$1757145.67579$ |
| 17.1.241...529.1 |
$x^{17} + 2 x - 1$ |
$17$ |
[1,8] |
$71437\cdot 234281\cdot 144516666425357$ |
$3$ |
$27.1849244342$ |
$1555210236428.228$ |
|
|
✓ |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$8$ |
$452764.206499$ |
| 17.1.656...064.1 |
$x^{17} + 4 x - 4$ |
$17$ |
[1,8] |
$2^{16}\cdot 3\cdot 33371379191895369283$ |
$3$ |
$28.8285021943$ |
$19211888352.29255$ |
|
|
? |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$8$ |
$745858.628066$ |
| 17.1.105...401.1 |
$x^{17} - 3 x^{16} - 2 x^{15} + 24 x^{14} - 20 x^{13} - 80 x^{12} + 115 x^{11} + 27 x^{10} + 132 x^{9} - 302 x^{8} - 219 x^{7} - 172 x^{6} + 41 x^{5} - 25 x^{4} + 44 x^{3} + 39 x^{2} - 2 x - 23$ |
$17$ |
[1,8] |
$17^{8}\cdot 79^{8}$ |
$2$ |
$29.6507559794$ |
$36.64696440361739$ |
|
|
? |
$D_{17}$ (as 17T2) |
trivial |
$2$ |
$8$ |
$663161.006215$ |
| 17.1.160...625.1 |
$x^{17} - 4 x^{16} + x^{15} + 16 x^{14} - 30 x^{13} - 2 x^{12} + 88 x^{11} + 143 x^{10} + 133 x^{9} - 515 x^{8} - 803 x^{7} - 68 x^{6} + 1252 x^{5} + 2972 x^{4} + 2855 x^{3} + 1505 x^{2} + 550 x + 125$ |
$17$ |
[1,8] |
$5^{8}\cdot 283^{8}$ |
$2$ |
$30.3884754664$ |
$37.61648574760805$ |
|
|
|
$D_{17}$ (as 17T2) |
trivial |
$2$ |
$8$ |
$2534195.05633$ |
| 17.1.348...321.1 |
$x^{17} - 2 x^{16} - 3 x^{14} + 24 x^{13} + 18 x^{12} - 138 x^{10} - 203 x^{9} - 75 x^{8} + 352 x^{7} + 588 x^{6} + 384 x^{5} + 132 x^{4} + 493 x^{3} + 1015 x^{2} + 874 x + 337$ |
$17$ |
[1,8] |
$1559^{8}$ |
$1$ |
$31.8064953944$ |
$39.48417404479927$ |
|
|
? |
$D_{17}$ (as 17T2) |
trivial |
$2$ |
$8$ |
$432952.23952$ |
| 17.1.371...761.1 |
$x^{17} - x^{16} + 5 x^{15} + 9 x^{14} - 13 x^{13} + 17 x^{12} + 56 x^{11} - 62 x^{10} + 55 x^{9} - 535 x^{8} + 181 x^{7} - 1027 x^{6} + 661 x^{5} - 1041 x^{4} + 166 x^{3} - 416 x^{2} - 88 x - 16$ |
$17$ |
[1,8] |
$1571^{8}$ |
$1$ |
$31.921472057$ |
$39.63584236521283$ |
|
|
|
$D_{17}$ (as 17T2) |
trivial |
$2$ |
$8$ |
$8867681.2165$ |
| 17.1.445...464.1 |
$x^{17} - 4 x^{9} - 18 x^{6} - 12 x^{3} + 4 x - 2$ |
$17$ |
[1,8] |
$2^{16}\cdot 3\cdot 271\cdot 835997920414096373$ |
$4$ |
$32.2664740609$ |
$50057622659.30103$ |
|
|
? |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$8$ |
$1877308.99113$ |
| 17.1.517...520.1 |
$x^{17} - 2 x - 2$ |
$17$ |
[1,8] |
$2^{16}\cdot 3\cdot 5\cdot 379\cdot 139023179197698797$ |
$5$ |
$32.5541036629$ |
$53979790073.92283$ |
|
|
✓ |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$8$ |
$2311817.81868$ |
| 17.1.542...256.1 |
$x^{17} - x - 2$ |
$17$ |
[1,8] |
$2^{16}\cdot 2387563\cdot 346478807223667$ |
$3$ |
$32.6415866997$ |
|
|
|
✓ |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$8$ |
$3196176.23159$ |
| 17.1.542...216.1 |
$x^{17} - x - 4$ |
$17$ |
[1,8] |
$2^{16}\cdot 67\cdot 12346869580328982043$ |
$3$ |
$32.6415873531$ |
|
|
|
? |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$8$ |
$1828919.01859$ |
| 17.1.542...872.1 |
$x^{17} - 2$ |
$17$ |
[1,8] |
$2^{16}\cdot 17^{17}$ |
$2$ |
$32.6415873531$ |
$38.16162936825564$ |
|
|
✓ |
$F_{17}$ (as 17T5) |
trivial |
$2$ |
$8$ |
$2966240.41128$ |
| 17.1.566...224.1 |
$x^{17} + 2 x - 2$ |
$17$ |
[1,8] |
$2^{16}\cdot 23\cdot 37\cdot 67\cdot 15155721101316377$ |
$5$ |
$32.7254732116$ |
$56443356590.24881$ |
|
|
✓ |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$8$ |
$1744681.36197$ |
| 17.1.584...121.1 |
$x^{17} - 2 x^{16} + 9 x^{15} - 23 x^{14} + 59 x^{13} - 112 x^{12} + 156 x^{11} - 49 x^{10} + 221 x^{9} - 25 x^{8} - 162 x^{7} - 4 x^{6} + 553 x^{5} + 1435 x^{4} + 1716 x^{3} + 1462 x^{2} + 615 x + 225$ |
$17$ |
[1,8] |
$1663^{8}$ |
$1$ |
$32.7879300307$ |
$40.779897008207364$ |
|
|
|
$D_{17}$ (as 17T2) |
trivial |
$2$ |
$8$ |
$3798575.81941$ |
| 17.1.638...280.1 |
$x^{17} + 4 x^{9} - 18 x^{6} + 12 x^{3} + 4 x - 2$ |
$17$ |
[1,8] |
$2^{16}\cdot 5\cdot 7\cdot 27851834699314662203$ |
$4$ |
$32.9583006276$ |
$59949183925.2028$ |
|
|
? |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$8$ |
$2034427.1525$ |
| 17.1.922...049.1 |
$x^{17} - 34 x^{14} - 68 x^{13} + 17 x^{12} + 323 x^{11} + 884 x^{10} + 1241 x^{9} + 1394 x^{8} + 1003 x^{7} + 935 x^{6} + 663 x^{5} + 901 x^{4} + 578 x^{3} + 493 x^{2} + 136 x + 57$ |
$17$ |
[1,8] |
$3^{8}\cdot 17^{18}$ |
$2$ |
$33.6787464993$ |
$40.245824295791174$ |
|
|
|
$C_{17}:C_{8}$ (as 17T4) |
trivial |
$2$ |
$8$ |
$4992205.48619$ |
| 17.1.102...241.1 |
$x^{17} - 7 x^{16} + 30 x^{15} - 61 x^{14} + 115 x^{13} - 158 x^{12} + 94 x^{11} - 111 x^{10} + 268 x^{9} - 411 x^{8} + 465 x^{7} - 473 x^{6} + 314 x^{5} - 109 x^{4} + 446 x^{3} - 498 x^{2} + 175 x + 1$ |
$17$ |
[1,8] |
$1783^{8}$ |
$1$ |
$33.8807935119$ |
$42.22558466143482$ |
|
|
|
$D_{17}$ (as 17T2) |
trivial |
$2$ |
$8$ |
$4818947.77807$ |
| 17.1.133...504.1 |
$x^{17} - 3 x^{16} - 4 x^{14} + 12 x^{13} + 24 x^{12} + 12 x^{11} - 28 x^{10} - 90 x^{9} - 74 x^{8} + 116 x^{6} + 132 x^{5} + 72 x^{4} + 28 x^{3} + 12 x^{2} + 5 x + 1$ |
$17$ |
[1,8] |
$2^{30}\cdot 137^{8}$ |
$2$ |
$34.4147774247$ |
|
|
|
? |
$\PSL(2,16)$ (as 17T6) |
$[15]$ |
$2$ |
$8$ |
$810656.541895$ |
| 17.1.323...625.1 |
$x^{17} + 17 x^{15} + 119 x^{13} + 442 x^{11} + 935 x^{9} + 1122 x^{7} + 714 x^{5} + 204 x^{3} + 17 x - 1$ |
$17$ |
[1,8] |
$5^{8}\cdot 17^{17}$ |
$2$ |
$36.2556739236$ |
$44.44158735609407$ |
|
|
✓ |
$F_{17}$ (as 17T5) |
trivial |
$2$ |
$8$ |
$7413165.64743$ |
| 17.1.861...144.1 |
$x^{17} - x^{16} - 4 x^{15} + 2 x^{14} + 54 x^{13} - 6 x^{12} - 36 x^{11} + 16 x^{10} + 714 x^{9} + 1238 x^{8} + 484 x^{7} - 764 x^{6} - 1084 x^{5} + 520 x^{4} + 668 x^{3} - 776 x^{2} + 382 x - 74$ |
$17$ |
[1,8] |
$2^{30}\cdot 173^{8}$ |
$2$ |
$38.408519781$ |
|
|
|
? |
$\PSL(2,16)$ (as 17T6) |
$[15]$ |
$2$ |
$8$ |
$781146.759847$ |
| 17.1.151...681.1 |
$x^{17} + 3 x - 3$ |
$17$ |
[1,8] |
$3^{16}\cdot 35388253\cdot 997597133837$ |
$3$ |
$39.712454379$ |
$16709461602.49277$ |
|
|
? |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$8$ |
$10106858.0011$ |
| 17.1.238...585.1 |
$x^{17} + 3 x - 1$ |
$17$ |
[1,8] |
$5\cdot 90341351171\cdot 5273811677288927$ |
$3$ |
$40.7765669554$ |
$48807953898298.15$ |
|
|
✓ |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$8$ |
$12577950.5849$ |
| 17.1.243...280.1 |
$x^{17} + 3 x - 2$ |
$17$ |
[1,8] |
$2^{16}\cdot 5\cdot 19\cdot 391336469839175330959$ |
$4$ |
$40.8305773653$ |
|
|
|
✓ |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$8$ |
$32630824.402$ |
| 17.1.264...424.1 |
$x^{17} - 2 x^{16} - 14 x^{15} + 16 x^{14} + 116 x^{13} - 92 x^{12} - 520 x^{11} - 12 x^{10} + 612 x^{9} - 1488 x^{8} - 1540 x^{7} - 180 x^{6} + 1580 x^{5} - 1192 x^{4} + 1608 x^{3} - 844 x^{2} + 122 x - 40$ |
$17$ |
[1,8] |
$2^{30}\cdot 199^{8}$ |
$2$ |
$41.0244357557$ |
|
|
|
? |
$\PSL(2,16)$ (as 17T6) |
$[15]$ |
$2$ |
$8$ |
$5943625.48287$ |
| 17.1.346...112.1 |
$x^{17} - 4 x - 8$ |
$17$ |
[1,8] |
$2^{22}\cdot 83\cdot 9966736578149758091$ |
$3$ |
$41.6885813332$ |
|
|
|
? |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$8$ |
$29494487.3135$ |
| 17.1.346...504.1 |
$x^{17} + 4 x - 8$ |
$17$ |
[1,8] |
$2^{22}\cdot 3\cdot 19919\cdot 40311581\cdot 343410553$ |
$5$ |
$41.6885880085$ |
|
|
|
? |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$8$ |
$36788135.4964$ |
| 17.1.138...456.1 |
$x^{17} - x - 8$ |
$17$ |
[1,8] |
$2^{24}\cdot 229\cdot 71347\cdot 50631461593807$ |
$4$ |
$45.2306099787$ |
|
|
|
? |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$8$ |
$51058416.8278$ |
| 17.1.284...393.1 |
$x^{17} - 9 x - 9$ |
$17$ |
[1,8] |
$3^{16}\cdot 47\cdot 4547\cdot 88289\cdot 35044210933$ |
$5$ |
$47.1825616408$ |
$72314959348.89534$ |
|
|
? |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$8$ |
$42670410.034$ |
| 17.1.332...209.1 |
$x^{17} - 3 x - 3$ |
$17$ |
[1,8] |
$3^{16}\cdot 771900029665208109329$ |
$2$ |
$47.614075995$ |
$78133238835.21625$ |
|
|
✓ |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$8$ |
$51156106.1657$ |
| 17.1.356...265.1 |
$x^{17} - 2 x - 3$ |
$17$ |
[1,8] |
$5\cdot 11\cdot 211\cdot 84719\cdot 1328711\cdot 27257483264677$ |
$6$ |
$47.8082102024$ |
$188699663226378.97$ |
|
|
✓ |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$8$ |
$86624349.7565$ |
| 17.1.356...001.1 |
$x^{17} - x - 3$ |
$17$ |
[1,8] |
$1181\cdot 6719\cdot 4487631626231289499259$ |
$3$ |
$47.8084011543$ |
$188706069682300.7$ |
|
|
✓ |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$8$ |
$85687089.9353$ |
| 17.1.356...617.1 |
$x^{17} - 3$ |
$17$ |
[1,8] |
$3^{16}\cdot 17^{17}$ |
$2$ |
$47.8084011557$ |
$55.893313822619575$ |
|
|
✓ |
$F_{17}$ (as 17T5) |
trivial |
$2$ |
$8$ |
$76477842.2049$ |
| 17.1.356...233.1 |
$x^{17} + x - 3$ |
$17$ |
[1,8] |
$79\cdot 101\cdot 13267\cdot 336395784580060614881$ |
$4$ |
$47.8084011572$ |
$188706069780054.56$ |
|
|
✓ |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$8$ |
$61780530.622$ |
| 17.1.427...841.1 |
$x^{17} + 9 x - 9$ |
$17$ |
[1,8] |
$3^{16}\cdot 89\cdot 421\cdot 811\cdot 827\cdot 39524364797$ |
$6$ |
$48.3255352553$ |
$88631271802.77887$ |
|
|
? |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$8$ |
$46129308.1634$ |
| 17.1.655...664.1 |
$x^{17} + 7 x - 4$ |
$17$ |
[1,8] |
$2^{16}\cdot 3\cdot 31\cdot 10752340751490440474693$ |
$4$ |
$49.5548572369$ |
|
|
|
? |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$8$ |
$129563914.275$ |
| 17.1.266...136.1 |
$x^{17} + 17 x^{15} + 85 x^{13} - 68 x^{12} + 595 x^{11} - 1496 x^{10} + 3638 x^{9} - 4420 x^{8} - 952 x^{7} - 816 x^{6} + 9248 x^{5} - 7616 x^{4} + 10880 x^{3} - 4352 x^{2} - 4096$ |
$17$ |
[1,8] |
$2^{16}\cdot 17^{20}$ |
$2$ |
$53.8157398407$ |
$63.51868130383117$ |
|
|
|
$C_{17}:C_{4}$ (as 17T3) |
trivial |
$2$ |
$8$ |
$42372140421.4$ |
| 17.1.316...521.1 |
$x^{17} + 4 x - 1$ |
$17$ |
[1,8] |
$3\cdot 11\cdot 23\cdot 71\cdot 2797\cdot 228733\cdot 7495121\cdot 1226420809$ |
$8$ |
$54.3687548383$ |
$562949954156049.0$ |
|
|
✓ |
$S_{17}$ (as 17T10) |
$[2]$ |
$2$ |
$8$ |
$119109328.107$ |
