| 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 |
$2$ |
$8$ |
$32.0498639783$ |
| 17.3.158...023.1 |
$x^{17} - x^{15} - x^{14} - 5 x^{13} + 4 x^{12} + x^{11} + 15 x^{9} - 13 x^{8} - 2 x^{7} + 7 x^{6} - 18 x^{5} + 20 x^{4} - 10 x^{3} + 6 x^{2} - 4 x + 1$ |
$17$ |
[3,7] |
$-\,2131\cdot 546781\cdot 1361451193$ |
$3$ |
$11.7655356049$ |
$1259503766.9586349$ |
|
|
? |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$9$ |
$130.579387289$ |
| 17.3.191...491.1 |
$x^{17} - 3 x^{16} + 4 x^{15} - 3 x^{14} + x^{13} + 4 x^{12} - 8 x^{11} + 9 x^{10} - 2 x^{9} - 9 x^{8} + 12 x^{7} - x^{6} - 4 x^{5} + 2 x^{4} - 3 x^{3} + x^{2} - x - 1$ |
$17$ |
[3,7] |
$-\,227\cdot 2411\cdot 3533\cdot 988994191$ |
$4$ |
$11.895587848$ |
$1382866394.632848$ |
|
|
? |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$9$ |
$144.902374432$ |
| 17.3.215...383.1 |
$x^{17} - 2 x^{15} - 4 x^{14} + 4 x^{13} + 7 x^{12} - 3 x^{11} - 3 x^{10} - 3 x^{9} + 5 x^{8} - 5 x^{7} - 4 x^{6} + 14 x^{5} - 2 x^{4} - 7 x^{3} + 2 x + 1$ |
$17$ |
[3,7] |
$-\,37^{5}\cdot 433\cdot 5531\cdot 12953$ |
$4$ |
$11.978222741$ |
$3569979.5655382182$ |
|
|
? |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$9$ |
$154.682742806$ |
| 17.3.231...203.1 |
$x^{17} - x^{16} + x^{15} - 3 x^{14} + 4 x^{13} - 4 x^{12} - x^{11} + 4 x^{10} - 5 x^{9} + 17 x^{8} - 42 x^{7} + 59 x^{6} - 45 x^{5} + 9 x^{4} + 15 x^{3} - 15 x^{2} + 6 x - 1$ |
$17$ |
[3,7] |
$-\,16843\cdot 137239279050521$ |
$2$ |
$12.0289934072$ |
$1520368763.5070398$ |
|
|
? |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$9$ |
$161.12597366$ |
| 17.3.275...423.1 |
$x^{17} - 3 x^{16} + 7 x^{15} - 10 x^{14} + 12 x^{13} - 11 x^{12} + 10 x^{11} - 7 x^{10} + 2 x^{9} + 5 x^{8} - 13 x^{7} + 11 x^{6} - 5 x^{5} - 6 x^{4} + 11 x^{3} - 9 x^{2} + 5 x - 1$ |
$17$ |
[3,7] |
$-\,75653\cdot 3119681\cdot 11682611$ |
$3$ |
$12.1544104314$ |
$1660497129.8707912$ |
|
|
? |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$9$ |
$178.334436956$ |
| 17.5.362...901.1 |
$x^{17} - 5 x^{15} - x^{14} + 5 x^{13} + 6 x^{12} + 9 x^{11} - 16 x^{10} - 21 x^{9} + 19 x^{8} + 13 x^{7} - 5 x^{6} - 4 x^{5} - 5 x^{4} + 3 x^{3} - x + 1$ |
$17$ |
[5,6] |
$55954279\cdot 64715583419$ |
$2$ |
$12.3508429254$ |
$1902922439.3743691$ |
|
|
? |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$10$ |
$284.067800863$ |
| 17.3.377...359.1 |
$x^{17} - 4 x^{16} + 12 x^{15} - 26 x^{14} + 48 x^{13} - 75 x^{12} + 105 x^{11} - 126 x^{10} + 136 x^{9} - 129 x^{8} + 107 x^{7} - 80 x^{6} + 47 x^{5} - 23 x^{4} + 11 x^{3} - 2 x^{2} - 2 x + 1$ |
$17$ |
[3,7] |
$-\,137\cdot 1926157\cdot 14323744651$ |
$3$ |
$12.3820423069$ |
$1944170774.5272431$ |
|
|
? |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$9$ |
$206.585713852$ |
| 17.5.475...701.1 |
$x^{17} - 6 x^{15} - 2 x^{14} + 17 x^{13} + 13 x^{12} - 27 x^{11} - 34 x^{10} + 20 x^{9} + 47 x^{8} - 38 x^{6} - 13 x^{5} + 17 x^{4} + 12 x^{3} - 2 x^{2} - 3 x - 1$ |
$17$ |
[5,6] |
$97\cdot 2927\cdot 2315407\cdot 7234597$ |
$4$ |
$12.5504977321$ |
$2180811211.971046$ |
|
|
? |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$10$ |
$331.845168707$ |
| 17.5.145...793.1 |
$x^{17} - 2 x^{16} + 4 x^{15} - 2 x^{14} + 6 x^{12} - 5 x^{11} + x^{10} + 3 x^{9} - 6 x^{8} - 7 x^{7} - x^{6} - 5 x^{5} - 9 x^{4} - 3 x^{3} - 2 x^{2} - 3 x - 1$ |
$17$ |
[5,6] |
$10170343\cdot 1427427651151$ |
$2$ |
$13.4020113891$ |
$3810174381.821653$ |
|
|
? |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$10$ |
$621.862699097$ |
| 17.5.890...861.1 |
$x^{17} - 2 x^{16} - 5 x^{15} + 8 x^{14} + 14 x^{13} - 6 x^{12} - 34 x^{11} - 12 x^{10} + 42 x^{9} + 47 x^{8} - 33 x^{7} - 52 x^{6} + 13 x^{5} + 21 x^{4} + 3 x^{3} - 5 x^{2} - 2 x + 1$ |
$17$ |
[5,6] |
$946391\cdot 3063653\cdot 30715207$ |
$3$ |
$14.9110980105$ |
$9436953412.576094$ |
|
|
? |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$10$ |
$1603.54336024$ |
| 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 |
$2$ |
$8$ |
$1990.43257715$ |
| 17.1.808...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 |
$2$ |
$8$ |
$7633.46863529$ |
| 17.3.207...144.1 |
$x^{17} - 2 x^{16} + x^{15} + 2 x^{14} - 3 x^{13} + 3 x^{11} - 3 x^{10} - x^{9} + 6 x^{8} - 5 x^{7} - 4 x^{6} + 8 x^{5} - 3 x^{4} - 4 x^{3} + 3 x^{2} - 1$ |
$17$ |
[3,7] |
$-\,2^{3}\cdot 17\cdot 20759\cdot 9318913\cdot 78851137$ |
$5$ |
$17.9447075771$ |
|
|
|
✓ |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$9$ |
$12720.6080668$ |
| 17.3.855...476.1 |
$x^{17} - 3 x^{16} + 4 x^{15} + x^{14} - 13 x^{13} + 26 x^{12} - 25 x^{11} + 2 x^{10} + 35 x^{9} - 62 x^{8} + 59 x^{7} - 25 x^{6} - 13 x^{5} + 33 x^{4} - 30 x^{3} + 17 x^{2} - 6 x + 1$ |
$17$ |
[3,7] |
$-\,2^{2}\cdot 11\cdot 53\cdot 34759\cdot 105529138935877$ |
$5$ |
$19.5041730705$ |
|
|
|
? |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$9$ |
$30334.8896134$ |
| 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 |
$2$ |
$8$ |
$38635.7554956$ |
| 17.1.186...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 |
$2$ |
$8$ |
$1860535.6396997238$ |
| 17.1.241...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 |
$2$ |
$8$ |
$745858.628066$ |
| 17.5.374...388.1 |
$x^{17} - x^{16} - 4 x^{15} + 4 x^{14} + 6 x^{13} - 6 x^{12} - 8 x^{11} + 8 x^{10} + 9 x^{9} - 7 x^{8} - 9 x^{7} + 3 x^{6} + 9 x^{5} - 2 x^{4} - 6 x^{3} + 4 x^{2} + 2 x - 1$ |
$17$ |
[5,6] |
$2^{2}\cdot 9368869340728638677625097$ |
$2$ |
$31.9402321982$ |
$4858813784474.296$ |
|
|
? |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$10$ |
$3367432.32884$ |
| 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 |
$2$ |
$8$ |
$1877308.99113$ |
| 17.5.478...988.1 |
$x^{17} - 2 x^{16} - 2 x^{15} + 9 x^{14} - 8 x^{13} - 6 x^{12} + 22 x^{11} - 20 x^{10} - 4 x^{9} + 23 x^{8} - 20 x^{7} + 7 x^{6} + x^{5} - 11 x^{4} + 11 x^{3} - x^{2} - 3 x + 1$ |
$17$ |
[5,6] |
$2^{2}\cdot 71\cdot 113\cdot 398023\cdot 3743302227733793$ |
$5$ |
$32.4012931788$ |
$5488284177909.384$ |
|
|
? |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$10$ |
$4697339.96204$ |
| 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 |
$2$ |
$8$ |
$1828919.01859$ |
| 17.1.566...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 |
$2$ |
$8$ |
$1744681.36197$ |
| 17.1.638...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 |
$2$ |
$8$ |
$2034427.1525$ |
| 17.3.725...168.1 |
$x^{17} - 3 x^{16} + 3 x^{15} - 17 x^{14} + 27 x^{13} + 27 x^{12} + 85 x^{11} - 303 x^{10} + 141 x^{9} - 35 x^{8} + 609 x^{7} - 1599 x^{6} + 985 x^{5} + 513 x^{4} + 1935 x^{3} - 3869 x^{2} + 1272 x - 48$ |
$17$ |
[3,7] |
$-\,2^{29}\cdot 3^{38}$ |
$2$ |
$38.021398883521194$ |
|
|
|
|
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$9$ |
$111003394.88977265$ |
| 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 |
$2$ |
$8$ |
$10106858.0011$ |
| 17.13.223...557.1 |
$x^{17} - x^{16} - 17 x^{15} + 17 x^{14} + 112 x^{13} - 115 x^{12} - 356 x^{11} + 389 x^{10} + 547 x^{9} - 675 x^{8} - 342 x^{7} + 560 x^{6} + 27 x^{5} - 205 x^{4} + 42 x^{3} + 24 x^{2} - 10 x + 1$ |
$17$ |
[13,2] |
$3^{3}\cdot 205542871\cdot 402308340646912121$ |
$3$ |
$40.6213567441$ |
$20728681017507.81$ |
|
|
? |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$14$ |
$129255854.893$ |
| 17.3.238...231.1 |
$x^{17} - 3 x - 1$ |
$17$ |
[3,7] |
$-\,17987\cdot 132440913396223585034213$ |
$2$ |
$40.7765652895$ |
$48807936949412.984$ |
|
|
✓ |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$9$ |
$21794558.2023$ |
| 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 |
$2$ |
$8$ |
$32630824.402$ |
| 17.3.253...408.1 |
$x^{17} - 9 x - 4$ |
$17$ |
[3,7] |
$-\,2^{16}\cdot 38738303271636409747303$ |
$2$ |
$40.9295058634$ |
|
|
|
? |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$9$ |
$35818073.0947$ |
| 17.15.266...248.1 |
$x^{17} - 3 x^{16} - 12 x^{15} + 38 x^{14} + 57 x^{13} - 190 x^{12} - 136 x^{11} + 476 x^{10} + 169 x^{9} - 630 x^{8} - 101 x^{7} + 433 x^{6} + 24 x^{5} - 146 x^{4} - 2 x^{3} + 21 x^{2} - 1$ |
$17$ |
[15,1] |
$-\,2^{3}\cdot 332663926322744609459470031$ |
$2$ |
$41.0431725363$ |
|
|
|
✓ |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$15$ |
$218458644.371$ |
| 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 |
$2$ |
$8$ |
$36788135.4964$ |
| 17.11.463...408.1 |
$x^{17} - x^{16} - 16 x^{15} + 13 x^{14} + 102 x^{13} - 65 x^{12} - 330 x^{11} + 160 x^{10} + 576 x^{9} - 209 x^{8} - 541 x^{7} + 150 x^{6} + 266 x^{5} - 59 x^{4} - 61 x^{3} + 12 x^{2} + 5 x - 1$ |
$17$ |
[11,3] |
$-\,2^{3}\cdot 102293\cdot 5666317867520705728007$ |
$3$ |
$42.4058425254$ |
$68095500798352.05$ |
|
|
✓ |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$13$ |
$132494211.856$ |
| 17.9.736...152.1 |
$x^{17} - 14 x^{15} - x^{14} + 76 x^{13} + 11 x^{12} - 207 x^{11} - 49 x^{10} + 312 x^{9} + 104 x^{8} - 281 x^{7} - 99 x^{6} + 156 x^{5} + 40 x^{4} - 50 x^{3} - 3 x^{2} + 7 x - 1$ |
$17$ |
[9,4] |
$2^{4}\cdot 460495740475008240189246197$ |
$2$ |
$43.5768289223$ |
$37362575463836.61$ |
|
|
✓ |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$12$ |
$93831886.8506$ |
| 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...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 |
$2$ |
$8$ |
$61780530.622$ |
| 17.15.393...332.1 |
$x^{17} - 3 x^{16} - 13 x^{15} + 41 x^{14} + 67 x^{13} - 222 x^{12} - 175 x^{11} + 605 x^{10} + 247 x^{9} - 872 x^{8} - 187 x^{7} + 640 x^{6} + 68 x^{5} - 210 x^{4} - 6 x^{3} + 26 x^{2} - 1$ |
$17$ |
[15,1] |
$-\,2^{2}\cdot 23\cdot 47\cdot 1443727\cdot 6300992077700317559$ |
$5$ |
$48.089013115$ |
$198330656156836.97$ |
|
|
✓ |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$15$ |
$1367665506.96$ |
| 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 |
$2$ |
$8$ |
$46129308.1634$ |
| 17.13.483...800.1 |
$x^{17} - 4 x^{16} - 6 x^{15} + 41 x^{14} - 5 x^{13} - 163 x^{12} + 112 x^{11} + 322 x^{10} - 315 x^{9} - 342 x^{8} + 381 x^{7} + 204 x^{6} - 216 x^{5} - 70 x^{4} + 55 x^{3} + 13 x^{2} - 5 x - 1$ |
$17$ |
[13,2] |
$2^{6}\cdot 5^{2}\cdot 7529\cdot 4014102427748751372137$ |
$4$ |
$48.6766113617$ |
$22267608975849.832$ |
|
|
? |
$S_{17}$ (as 17T10) |
trivial |
$2$ |
$14$ |
$682339734.776$ |
