| 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 |
| 13.1.1325925503633.1 |
$x^{13} - x^{12} - x^{11} + x^{10} + 3 x^{8} - x^{7} - 5 x^{6} + x^{5} + 4 x^{4} + 2 x^{3} - 3 x^{2} - x + 1$ |
$13$ |
[1,6] |
$97\cdot 13669335089$ |
$2$ |
$8.56054611437$ |
$1151488.386234529$ |
|
|
? |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$6$ |
$3.1288056301$ |
| 13.1.1346252740661.1 |
$x^{13} - 4 x^{11} + 5 x^{9} - x^{7} - x^{6} - x^{5} + 2 x^{4} + 2 x^{3} - x^{2} - 2 x + 1$ |
$13$ |
[1,6] |
$1346252740661$ |
$1$ |
$8.57057063416$ |
$1160281.3196208065$ |
|
|
? |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$6$ |
$3.16017709574$ |
| 13.1.1452927822421.1 |
$x^{13} - 4 x^{12} + 6 x^{11} - x^{10} - 10 x^{9} + 17 x^{8} - 9 x^{7} - 9 x^{6} + 19 x^{5} - 11 x^{4} - 2 x^{3} + 7 x^{2} - 4 x + 1$ |
$13$ |
[1,6] |
$83\cdot 17505154487$ |
$2$ |
$8.62099183688$ |
$1205374.5568996386$ |
|
|
✓ |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$6$ |
$3.3104562037$ |
| 13.1.3518110599125.1 |
$x^{13} + x^{11} - 2 x^{10} + x^{9} - x^{8} - 4 x^{7} + 4 x^{6} - 5 x^{5} + x^{4} + 2 x^{3} - 4 x^{2} + 2 x - 1$ |
$13$ |
[1,6] |
$5^{3}\cdot 5351\cdot 5259743$ |
$3$ |
$9.22785432352$ |
$560953.9892720619$ |
|
|
? |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$6$ |
$6.17827465513$ |
| 13.1.4082190012125.1 |
$x^{13} - x^{12} - 2 x^{11} + x^{10} + 2 x^{8} + 2 x^{7} - x^{6} - 2 x^{5} - x^{4} + 2 x^{3} + 2 x^{2} - 3 x + 1$ |
$13$ |
[1,6] |
$5^{3}\cdot 73\cdot 447363289$ |
$3$ |
$9.33401960871$ |
$604253.4026112618$ |
|
|
? |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$6$ |
$6.75913142567$ |
| 13.1.10905397816000.1 |
$x^{13} - 3 x^{12} + 8 x^{11} - 12 x^{10} + 15 x^{9} - 12 x^{8} + 6 x^{7} + x^{6} - 6 x^{5} + 8 x^{4} - 6 x^{3} + 5 x^{2} - x + 1$ |
$13$ |
[1,6] |
$2^{6}\cdot 5^{3}\cdot 26141\cdot 52147$ |
$4$ |
$10.0668941223$ |
$246906.919902287$ |
|
|
✓ |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$6$ |
$12.5128995808$ |
| 13.1.12359517706496.1 |
$x^{13} - 3 x^{12} + 5 x^{11} - 4 x^{10} + 5 x^{8} - 7 x^{7} + 6 x^{6} - x^{5} - 3 x^{4} + 4 x^{3} - 2 x^{2} + 1$ |
$13$ |
[1,6] |
$2^{8}\cdot 71\cdot 5197\cdot 130843$ |
$4$ |
$10.1642898312$ |
$878902.6434457914$ |
|
|
✓ |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$6$ |
$19.8461888915$ |
| 13.1.24777340928000.1 |
$x^{13} - 2 x^{12} + 4 x^{11} - 5 x^{10} + 2 x^{9} + x^{8} - 6 x^{7} + 8 x^{6} - 3 x^{5} + 4 x^{4} + 4 x^{3} - x^{2} + 4 x - 1$ |
$13$ |
[1,6] |
$2^{14}\cdot 5^{3}\cdot 12098311$ |
$3$ |
$10.7228912075$ |
$58191.22094805985$ |
|
|
? |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$6$ |
$32.3528276422$ |
| 13.1.29747917088000.1 |
$x^{13} - 4 x^{12} + 10 x^{11} - 20 x^{10} + 30 x^{9} - 40 x^{8} + 44 x^{7} - 43 x^{6} + 38 x^{5} - 31 x^{4} + 24 x^{3} - 16 x^{2} + 8 x - 2$ |
$13$ |
[1,6] |
$2^{8}\cdot 5^{3}\cdot 139\cdot 6687931$ |
$4$ |
$10.8747613641$ |
$407793.9577709422$ |
|
|
✓ |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$6$ |
$36.4190725607$ |
| 13.1.36713824791125.1 |
$x^{13} - x^{12} + x^{10} - x^{8} + 4 x^{5} - 9 x^{4} + 12 x^{3} - 8 x^{2} + 4 x - 1$ |
$13$ |
[1,6] |
$5^{3}\cdot 374321\cdot 784649$ |
$3$ |
$11.0521923112$ |
$1812121.4964452302$ |
|
|
? |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$6$ |
$40.9666710856$ |
| 13.1.48103150106125.1 |
$x^{13} - 2 x^{12} + 4 x^{10} - 3 x^{9} - 5 x^{8} + 7 x^{7} + x^{6} - 8 x^{5} + 3 x^{4} + 5 x^{3} - 3 x^{2} - x + 2$ |
$13$ |
[1,6] |
$5^{3}\cdot 83\cdot 4636448203$ |
$3$ |
$11.2843068169$ |
$2074241.1968637758$ |
|
|
✓ |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$6$ |
$47.5944591354$ |
| 13.1.48551226272641.1 |
$x^{13} - 2 x^{12} + 4 x^{10} - 5 x^{9} + x^{8} + 5 x^{7} - 11 x^{6} + 19 x^{5} - 22 x^{4} + 16 x^{3} - 10 x^{2} + 6 x - 1$ |
$13$ |
[1,6] |
$191^{6}$ |
$1$ |
$11.2923578172$ |
$13.820274961085254$ |
|
|
? |
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$26.2176148631$ |
| 13.1.57655000561921.1 |
$x^{13} - 3 x^{12} + 7 x^{11} - 10 x^{10} + 15 x^{9} - 17 x^{8} + 19 x^{7} - 18 x^{6} + 15 x^{5} - 12 x^{4} + 6 x^{3} - 3 x^{2} + 2 x - 1$ |
$13$ |
[1,6] |
$7^{4}\cdot 83^{2}\cdot 1867^{2}$ |
$3$ |
$11.4426317504$ |
$1867.194834176372$ |
|
|
? |
$A_{13}$ (as 13T8) |
trivial |
$2$ |
$6$ |
$43.4347813984$ |
| 13.1.293959006143997.1 |
$x^{13} - x - 1$ |
$13$ |
[1,6] |
$28201\cdot 10423708597$ |
$2$ |
$12.9701541049$ |
$17145232.752692424$ |
|
|
✓ |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$6$ |
$64.2478498014$ |
| 13.1.311791207040509.1 |
$x^{13} + x - 1$ |
$13$ |
[1,6] |
$7\cdot 17\cdot 47\cdot 277\cdot 1723\cdot 116803$ |
$6$ |
$13.0290456243$ |
$17657610.456698522$ |
|
|
✓ |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$6$ |
$117.917198366$ |
| 13.1.330928743953809.1 |
$x^{13} - 6 x^{12} + 15 x^{11} - 21 x^{10} + 19 x^{9} - 13 x^{8} + 12 x^{7} - 22 x^{6} + 36 x^{5} - 38 x^{4} + 27 x^{3} - 16 x^{2} + 8 x - 1$ |
$13$ |
[1,6] |
$263^{6}$ |
$1$ |
$13.0888850353$ |
$16.217274740226856$ |
|
|
? |
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$88.0923358606$ |
| 13.1.1414971204906609.1 |
$x^{13} - x^{12} + x^{11} + x^{10} - x^{9} + x^{8} - x^{7} + 4 x^{5} - 5 x^{4} + 4 x^{3} - 2 x + 1$ |
$13$ |
[1,6] |
$3^{6}\cdot 7^{2}\cdot 29^{2}\cdot 6863^{2}$ |
$4$ |
$14.6366646729$ |
$5305.167415671284$ |
|
|
? |
$A_{13}$ (as 13T8) |
trivial |
$2$ |
$6$ |
$307.196082794$ |
| 13.1.27983987175790801.1 |
$x^{13} - 4 x^{12} + 5 x^{11} - 2 x^{10} - 3 x^{9} - 3 x^{8} + 21 x^{7} + 3 x^{6} - 15 x^{5} - 15 x^{4} + 7 x^{3} + 25 x^{2} + 8 x + 1$ |
$13$ |
[1,6] |
$19^{6}\cdot 29^{6}$ |
$2$ |
$18.4139471259$ |
$23.473389188611005$ |
|
|
? |
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$884.684846926$ |
| 13.1.50018670786022849.1 |
$x^{13} - 2 x^{12} + 3 x^{11} - x^{10} - 7 x^{9} - 9 x^{8} + 21 x^{7} + 21 x^{6} - 3 x^{5} - 34 x^{4} - 16 x^{3} + 15 x^{2} + 17 x - 1$ |
$13$ |
[1,6] |
$607^{6}$ |
$1$ |
$19.25522628$ |
$24.63736998950984$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$2504.31381612$ |
| 13.1.51185893014090757.1 |
$x^{13} - 13 x^{8} + 39 x^{7} - 78 x^{6} + 117 x^{5} - 130 x^{4} + 104 x^{3} - 65 x^{2} + 26 x - 5$ |
$13$ |
[1,6] |
$13^{15}$ |
$1$ |
$19.2894237006$ |
$22.365840080473813$ |
|
|
? |
$C_{13}:C_4$ (as 13T4) |
trivial |
$2$ |
$6$ |
$2655.34526727$ |
| 13.1.63121332085847281.1 |
$x^{13} - 4 x^{12} + 12 x^{11} - 21 x^{10} + 37 x^{9} - 46 x^{8} + 54 x^{7} - 72 x^{6} + 71 x^{5} - 77 x^{4} + 69 x^{3} - 33 x^{2} + 17 x + 1$ |
$13$ |
[1,6] |
$631^{6}$ |
$1$ |
$19.6029414482$ |
$25.11971337416094$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$2638.85437193$ |
| 13.1.73343569978705405.1 |
$x^{13} + 2 x - 1$ |
$13$ |
[1,6] |
$5\cdot 2441\cdot 2671\cdot 2249833471$ |
$4$ |
$19.8305857267$ |
$270820180.1541115$ |
|
|
✓ |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$6$ |
$2894.42759466$ |
| 13.1.101439097511492601.1 |
$x^{13} - 4 x^{12} + 10 x^{11} - 25 x^{10} + 52 x^{9} - 75 x^{8} + 90 x^{7} - 113 x^{6} + 114 x^{5} - 65 x^{4} + 10 x^{3} + 37 x^{2} - 19 x - 10$ |
$13$ |
[1,6] |
$3^{6}\cdot 7^{8}\cdot 17^{6}$ |
$3$ |
$20.3315104648$ |
$26.132669826287227$ |
|
|
? |
$C_{13}:C_6$ (as 13T5) |
trivial |
$2$ |
$6$ |
$4878.48838792$ |
| 13.1.147640825624179889.1 |
$x^{13} - 4 x^{12} + 8 x^{11} - 5 x^{10} + 6 x^{9} + 4 x^{7} + 8 x^{6} + 30 x^{5} - 15 x^{4} + 41 x^{3} - 23 x^{2} + 25 x - 1$ |
$13$ |
[1,6] |
$727^{6}$ |
$1$ |
$20.9270585616$ |
$26.962937525425527$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$4645.54180152$ |
| 13.1.469804094334435328.1 |
$x^{13} + 13 x^{11} + 65 x^{9} + 156 x^{7} + 182 x^{5} + 91 x^{3} + 13 x - 2$ |
$13$ |
[1,6] |
$2^{18}\cdot 13^{11}$ |
$2$ |
$22.875901358$ |
$29.69338662673638$ |
|
|
? |
$F_{13}$ (as 13T6) |
trivial |
$2$ |
$6$ |
$11777.227639$ |
| 13.1.739746811004793201.1 |
$x^{13} - 5 x^{12} + 10 x^{11} - 14 x^{10} + 13 x^{9} - 5 x^{8} - 22 x^{7} + 68 x^{6} - 118 x^{5} + 86 x^{4} + 32 x^{3} - 175 x^{2} + 165 x - 117$ |
$13$ |
[1,6] |
$3^{6}\cdot 317^{6}$ |
$2$ |
$23.6888977829$ |
$30.83828789021855$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$41428.0768772$ |
| 13.1.948413657113415680.1 |
$x^{13} - 2 x^{12} + 8 x^{9} - 12 x^{6} + 8 x^{3} - 2$ |
$13$ |
[1,6] |
$2^{12}\cdot 5\cdot 11\cdot 4093\cdot 1028568967$ |
$5$ |
$24.1460438256$ |
$28853119.054754354$ |
|
|
✓ |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$6$ |
$14759.3341822$ |
| 13.1.109...984.1 |
$x^{13} - 4 x - 4$ |
$13$ |
[1,6] |
$2^{12}\cdot 267210704799229$ |
$2$ |
$24.4136003445$ |
$30995651.44061687$ |
|
|
? |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$6$ |
$11550.695271$ |
| 13.1.111...881.1 |
$x^{13} - 4 x^{12} + 17 x^{11} - 26 x^{10} + 51 x^{9} - 26 x^{8} + 43 x^{7} + 44 x^{6} - 21 x^{5} + 106 x^{4} - 15 x^{3} + 10 x^{2} + 48 x - 32$ |
$13$ |
[1,6] |
$1019^{6}$ |
$1$ |
$24.4561497458$ |
$31.921779399024736$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$37255.7439837$ |
| 13.1.116...136.1 |
$x^{13} - 2 x - 2$ |
$13$ |
[1,6] |
$2^{12}\cdot 16453\cdot 17324676697$ |
$3$ |
$24.5352232579$ |
$32013190.60556769$ |
|
|
✓ |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$6$ |
$13834.7066333$ |
| 13.1.124...032.1 |
$x^{13} - x - 2$ |
$13$ |
[1,6] |
$2^{12}\cdot 17\cdot 17816054694701$ |
$3$ |
$24.650001745$ |
$43537935.112255834$ |
|
|
✓ |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$6$ |
$18529.2875537$ |
| 13.1.124...952.1 |
$x^{13} - x - 4$ |
$13$ |
[1,6] |
$2^{14}\cdot 557443\cdot 135832321$ |
$3$ |
$24.6500153695$ |
$47137050.97638657$ |
|
|
? |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$6$ |
$9875.09824761$ |
| 13.1.124...288.1 |
$x^{13} - 2$ |
$13$ |
[1,6] |
$2^{12}\cdot 13^{13}$ |
$2$ |
$24.6500153728$ |
$29.536870718725066$ |
|
|
✓ |
$F_{13}$ (as 13T6) |
trivial |
$2$ |
$6$ |
$19704.6611684$ |
| 13.1.131...440.1 |
$x^{13} + 2 x - 2$ |
$13$ |
[1,6] |
$2^{12}\cdot 5\cdot 291331\cdot 220166963$ |
$4$ |
$24.7587303274$ |
$33956918.31996527$ |
|
|
✓ |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$6$ |
$12524.5893502$ |
| 13.1.138...592.1 |
$x^{13} + 4 x - 4$ |
$13$ |
[1,6] |
$2^{12}\cdot 19\cdot 2647\cdot 6731344489$ |
$4$ |
$24.8620022002$ |
$34888196.66175061$ |
|
|
? |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$6$ |
$12038.2685817$ |
| 13.1.153...896.1 |
$x^{13} + 8 x - 8$ |
$13$ |
[1,6] |
$2^{12}\cdot 7\cdot 1237\cdot 43215603439$ |
$4$ |
$25.0542943002$ |
$36679888.15889945$ |
|
|
? |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$6$ |
$16182.8710333$ |
| 13.1.209...000.1 |
$x^{13} - 2 x^{12} + 8 x^{11} - 24 x^{10} + 50 x^{9} - 108 x^{8} + 196 x^{7} - 304 x^{6} + 367 x^{5} - 270 x^{4} + 136 x^{3} - 72 x^{2} + 18 x - 4$ |
$13$ |
[1,6] |
$2^{33}\cdot 5^{12}$ |
$2$ |
$25.6658792575$ |
$29.71909423092261$ |
|
|
|
$C_{13}:C_4$ (as 13T4) |
trivial |
$2$ |
$6$ |
$137180.547247$ |
| 13.1.234...625.1 |
$x^{13} - 2 x^{12} + 9 x^{11} - 23 x^{10} + 58 x^{9} - 93 x^{8} + 156 x^{7} - 183 x^{6} + 105 x^{5} + 7 x^{4} + 7 x^{3} - 42 x^{2} + 7 x + 7$ |
$13$ |
[1,6] |
$3^{12}\cdot 5^{6}\cdot 7^{10}$ |
$3$ |
$25.8878852921$ |
$31.199884665023223$ |
|
|
? |
$C_{13}:C_6$ (as 13T5) |
trivial |
$2$ |
$6$ |
$30169.0835469$ |
| 13.1.376...729.1 |
$x^{13} - 5 x^{12} + 9 x^{11} - 5 x^{10} + 6 x^{9} - 56 x^{8} + 137 x^{7} - 132 x^{6} + 40 x^{5} + x^{4} + 61 x^{3} - 85 x^{2} + 28 x + 25$ |
$13$ |
[1,6] |
$29^{6}\cdot 43^{6}$ |
$2$ |
$26.8448783381$ |
$35.31288716601915$ |
|
|
? |
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$14605.4935551$ |
| 13.1.392...656.1 |
$x^{13} - 6 x^{12} + 18 x^{11} - 32 x^{10} + 16 x^{9} + 64 x^{8} - 162 x^{7} + 96 x^{6} + 211 x^{5} - 394 x^{4} + 168 x^{3} + 136 x^{2} + 20 x - 8$ |
$13$ |
[1,6] |
$2^{18}\cdot 157^{6}$ |
$2$ |
$26.9341274288$ |
$35.4400902933387$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$656720.852793$ |
| 13.1.887...361.1 |
$x^{13} - 6 x^{12} + 21 x^{11} - 51 x^{10} + 86 x^{9} - 124 x^{8} + 177 x^{7} - 203 x^{6} + 217 x^{5} - 230 x^{4} + 152 x^{3} - 163 x^{2} + 63 x - 49$ |
$13$ |
[1,6] |
$1439^{6}$ |
$1$ |
$28.6791661672$ |
$37.93415347678132$ |
|
|
? |
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$12868.435065$ |
| 13.1.933...201.1 |
$x^{13} - 3 x^{12} + 24 x^{10} - 55 x^{9} + 3 x^{8} + 159 x^{7} - 451 x^{6} + 650 x^{5} - 808 x^{4} + 757 x^{3} - 681 x^{2} + 344 x - 196$ |
$13$ |
[1,6] |
$1451^{6}$ |
$1$ |
$28.7893005382$ |
$38.09199390948182$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$120307.36238$ |
| 13.1.113...001.1 |
$x^{13} - 6 x^{12} + 19 x^{11} - 37 x^{10} + 60 x^{9} - 157 x^{8} + 503 x^{7} - 1154 x^{6} + 1645 x^{5} - 1339 x^{4} + 492 x^{3} - 315 x^{2} + 848 x - 592$ |
$13$ |
[1,6] |
$1499^{6}$ |
$1$ |
$29.2250053796$ |
$38.71692136521188$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$134840.880113$ |
| 13.1.142...941.1 |
$x^{13} + 3 x - 1$ |
$13$ |
[1,6] |
$41926259\cdot 339058318799$ |
$2$ |
$29.7364602882$ |
$3770337768.69811$ |
|
|
✓ |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$6$ |
$38029.5850725$ |
| 13.1.154...976.1 |
$x^{13} + 3 x - 2$ |
$13$ |
[1,6] |
$2^{12}\cdot 4808369\cdot 784750349$ |
$3$ |
$29.9284199224$ |
$153674656.64979774$ |
|
|
✓ |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$6$ |
$155104.447407$ |
| 13.1.198...224.1 |
$x^{13} - 4 x - 8$ |
$13$ |
[1,6] |
$2^{16}\cdot 302866399462909$ |
$2$ |
$30.5099044894$ |
$50787718.09707765$ |
|
|
? |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$6$ |
$93491.7147681$ |
| 13.1.198...992.1 |
$x^{13} + 4 x - 8$ |
$13$ |
[1,6] |
$2^{16}\cdot 59\cdot 83\cdot 10513\cdot 5883277$ |
$5$ |
$30.5100394291$ |
$50789178.17609231$ |
|
|
? |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$6$ |
$122173.199896$ |
| 13.1.214...369.1 |
$x^{13} - 5 x^{12} - 2 x^{11} + 54 x^{10} - 98 x^{9} - 80 x^{8} + 441 x^{7} - 237 x^{6} - 814 x^{5} + 1060 x^{4} + 624 x^{3} - 336 x^{2} - 32 x + 64$ |
$13$ |
[1,6] |
$1667^{6}$ |
$1$ |
$30.6935555345$ |
$40.82891132518721$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$224905.094869$ |
| 13.1.224...921.1 |
$x^{13} - 4 x^{12} + 17 x^{11} - 59 x^{10} + 147 x^{9} - 256 x^{8} + 356 x^{7} - 423 x^{6} + 457 x^{5} - 390 x^{4} + 253 x^{3} - 102 x^{2} + 63 x + 19$ |
$13$ |
[1,6] |
$23^{6}\cdot 73^{6}$ |
$2$ |
$30.7953352733$ |
$40.97560249709576$ |
|
|
? |
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$22532.5912908$ |
| 13.1.272...625.1 |
$x^{13} - 3 x^{12} - x^{11} + 17 x^{9} + 28 x^{8} - 67 x^{7} - 137 x^{6} + 147 x^{5} + 140 x^{4} + 168 x^{3} - 803 x^{2} - 220 x - 395$ |
$13$ |
[1,6] |
$5^{6}\cdot 347^{6}$ |
$2$ |
$31.265206256$ |
$41.65333119931706$ |
|
|
|
$D_{13}$ (as 13T2) |
trivial |
$2$ |
$6$ |
$179464.45726$ |
