| 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 |
$2$ |
$6$ |
$6.75913142567$ |
| 13.3.5570916369223.1 |
$x^{13} - x^{12} + x^{11} - 4 x^{10} + 5 x^{9} - 5 x^{8} + 6 x^{7} - 2 x^{6} - 5 x^{5} + 5 x^{4} - 7 x^{3} + 5 x^{2} - x + 1$ |
$13$ |
[3,5] |
$-\,5570916369223$ |
$1$ |
$9.55995604118$ |
$2360278.8753075344$ |
|
|
? |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$7$ |
$9.61638823677$ |
| 13.3.5717814639679.1 |
$x^{13} - 2 x^{12} - 3 x^{11} + 7 x^{10} + 3 x^{9} - 7 x^{8} - 6 x^{7} + 4 x^{6} + 8 x^{5} - 3 x^{4} - 4 x^{3} + 2 x^{2} - 1$ |
$13$ |
[3,5] |
$-\,89\cdot 107\cdot 283\cdot 2121631$ |
$4$ |
$9.5791150674$ |
$2391195.2324473634$ |
|
|
✓ |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$7$ |
$9.76540201266$ |
| 13.3.6855574490939.1 |
$x^{13} - x^{12} + 2 x^{11} + 2 x^{10} - 3 x^{9} + x^{8} - x^{7} - 8 x^{6} - 7 x^{5} - 6 x^{4} - 6 x^{3} - 6 x^{2} - 4 x - 1$ |
$13$ |
[3,5] |
$-\,1798333\cdot 3812183$ |
$2$ |
$9.71377386112$ |
$2618315.200837936$ |
|
|
? |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$7$ |
$10.9027200388$ |
| 13.3.7805208559959.1 |
$x^{13} - 4 x^{12} + 6 x^{11} - 6 x^{10} + 7 x^{9} - 5 x^{8} - x^{7} + x^{6} + 5 x^{5} - 2 x^{4} - 3 x^{3} - x^{2} + 1$ |
$13$ |
[3,5] |
$-\,3^{3}\cdot 31\cdot 71\cdot 821\cdot 159977$ |
$5$ |
$9.81119450388$ |
$931260.111650338$ |
|
|
? |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$7$ |
$11.7783503996$ |
| 13.3.9197165262683.1 |
$x^{13} - 2 x^{10} + 2 x^{9} - x^{8} - 3 x^{7} - 3 x^{6} + 9 x^{5} - 10 x^{4} + 7 x^{3} + 1$ |
$13$ |
[3,5] |
$-\,82163\cdot 111938041$ |
$2$ |
$9.93583002049$ |
$3032682.849010592$ |
|
|
? |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$7$ |
$13.0679687985$ |
| 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 |
$2$ |
$6$ |
$19.8461888915$ |
| 13.3.14047799762079.1 |
$x^{13} - 2 x^{12} + 2 x^{10} - 3 x^{9} + 4 x^{8} - 4 x^{7} + 4 x^{6} - 5 x^{5} + 3 x^{4} - 2 x^{3} + 3 x^{2} - x - 1$ |
$13$ |
[3,5] |
$-\,3^{3}\cdot 16103\cdot 32310059$ |
$3$ |
$10.2648943838$ |
$1249346.4852597937$ |
|
|
? |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$7$ |
$16.6395085824$ |
| 13.3.18597951501632.1 |
$x^{13} - 2 x^{12} + x^{11} + x^{10} - 6 x^{9} + 3 x^{8} + 7 x^{7} - 4 x^{6} + 4 x^{4} - 4 x^{3} - 4 x^{2} + x + 1$ |
$13$ |
[3,5] |
$-\,2^{6}\cdot 67\cdot 43517\cdot 99667$ |
$4$ |
$10.4888550911$ |
$1078133.5579843528$ |
|
|
✓ |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$7$ |
$20.8860106706$ |
| 13.3.21982001088443.1 |
$x^{13} - x^{12} + x^{11} + 3 x^{10} - 8 x^{9} + 10 x^{8} - 6 x^{7} - 5 x^{6} + 15 x^{5} - 19 x^{4} + 15 x^{3} - 9 x^{2} + 3 x - 1$ |
$13$ |
[3,5] |
$-\,11^{2}\cdot 71\cdot 2558724373$ |
$3$ |
$10.6246067266$ |
$1413634.937072864$ |
|
|
✓ |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$7$ |
$22.4503389791$ |
| 13.3.21990353102339.1 |
$x^{13} - 2 x^{12} + 4 x^{11} - 5 x^{10} + 3 x^{9} + x^{8} - 4 x^{7} + 9 x^{6} - 7 x^{5} + 2 x^{4} - 4 x^{2} + 4 x - 1$ |
$13$ |
[3,5] |
$-\,157\cdot 3169\cdot 44198783$ |
$3$ |
$10.624917195$ |
$4689387.284319669$ |
|
|
✓ |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$7$ |
$22.0576155446$ |
| 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 |
$2$ |
$6$ |
$32.3528276422$ |
| 13.5.28261626739249.1 |
$x^{13} - 3 x^{12} + 3 x^{11} + 3 x^{10} - 13 x^{9} + 14 x^{8} + 2 x^{7} - 20 x^{6} + 18 x^{5} + x^{4} - 11 x^{3} + 6 x^{2} + x - 1$ |
$13$ |
[5,4] |
$2161\cdot 13078031809$ |
$2$ |
$10.8319706242$ |
$5316166.545477013$ |
|
|
? |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$8$ |
$33.0726626498$ |
| 13.5.28318356165577.1 |
$x^{13} - 3 x^{11} - 4 x^{10} + 2 x^{9} + 9 x^{8} + 6 x^{7} - 4 x^{6} - 10 x^{5} - 3 x^{4} + 4 x^{3} + 4 x^{2} - 1$ |
$13$ |
[5,4] |
$1721\cdot 16454593937$ |
$2$ |
$10.8336416122$ |
$5321499.428316891$ |
|
|
✓ |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$8$ |
$33.1184429974$ |
| 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 |
$2$ |
$6$ |
$36.4190725607$ |
| 13.3.34372007159104.1 |
$x^{13} - x^{12} - 2 x^{11} + 5 x^{10} + x^{9} - 8 x^{8} + 5 x^{7} + 7 x^{6} - 2 x^{4} - 4 x - 1$ |
$13$ |
[3,5] |
$-\,2^{6}\cdot 29\cdot 239\cdot 77487031$ |
$4$ |
$10.9962987482$ |
$1465691.1159736216$ |
|
|
? |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$7$ |
$29.7815563037$ |
| 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 |
$2$ |
$6$ |
$26.2176148631$ |
| 13.3.49047631346319.1 |
$x^{13} - 2 x^{12} + 3 x^{11} + 2 x^{10} - 9 x^{9} + 12 x^{8} - 2 x^{7} - 19 x^{6} + 27 x^{5} - 19 x^{4} - x^{3} + 11 x^{2} - 6 x + 1$ |
$13$ |
[3,5] |
$-\,3\cdot 16349210448773$ |
$2$ |
$11.3011974948$ |
$7003401.412622226$ |
|
|
? |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$7$ |
$44.4479338582$ |
| 13.3.53877019237375.1 |
$x^{13} - 2 x^{12} - 4 x^{11} + 7 x^{10} + 6 x^{9} - 6 x^{8} - 6 x^{7} - 8 x^{6} + 8 x^{5} + 15 x^{4} - 7 x^{3} - 7 x^{2} + x + 1$ |
$13$ |
[3,5] |
$-\,5^{3}\cdot 204793\cdot 2104643$ |
$3$ |
$11.3831330569$ |
$2195200.9241965474$ |
|
|
? |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$7$ |
$39.9707034173$ |
| 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 |
$2$ |
$6$ |
$43.4347813984$ |
| 13.3.60464861374756.1 |
$x^{13} - x^{11} - 3 x^{10} - x^{9} + 4 x^{8} + 5 x^{7} - x^{6} - 6 x^{5} - 5 x^{4} + x^{3} + 4 x^{2} + 3 x + 1$ |
$13$ |
[3,5] |
$-\,2^{2}\cdot 15116215343689$ |
$2$ |
$11.4845932957$ |
$7775915.46859635$ |
|
|
✓ |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$7$ |
$66.5258088388$ |
| 13.3.69188908404875.1 |
$x^{13} - 3 x^{12} + 3 x^{11} - 3 x^{10} + 5 x^{9} + 2 x^{8} - 17 x^{7} + 10 x^{6} + 16 x^{5} - 16 x^{4} - 5 x^{3} + 7 x^{2} - 1$ |
$13$ |
[3,5] |
$-\,5^{3}\cdot 7^{5}\cdot 31\cdot 1062367$ |
$4$ |
$11.6042797679$ |
$97116.7192341759$ |
|
|
? |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$7$ |
$49.3240960032$ |
| 13.3.96082590998375.1 |
$x^{13} - 4 x^{11} - 3 x^{10} + 9 x^{9} + 10 x^{8} - 4 x^{7} - 12 x^{6} - 13 x^{5} + 5 x^{4} + 12 x^{3} - x + 1$ |
$13$ |
[3,5] |
$-\,5^{3}\cdot 768660727987$ |
$2$ |
$11.9011260303$ |
$2931533.4207658344$ |
|
|
? |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$7$ |
$61.9626233533$ |
| 13.3.105628246955776.1 |
$x^{13} - x^{12} + 3 x^{11} - x^{10} + 3 x^{9} + 6 x^{8} - 6 x^{7} + x^{6} + 6 x^{5} - 8 x^{4} - 9 x^{3} + 2 x^{2} + 4 x + 1$ |
$13$ |
[3,5] |
$-\,2^{8}\cdot 257\cdot 1605487703$ |
$3$ |
$11.9881539994$ |
$2569390.0900283707$ |
|
|
? |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$7$ |
$94.5194105196$ |
| 13.3.114312593686528.1 |
$x^{13} - x^{12} - 5 x^{11} + 15 x^{9} + 9 x^{8} - 28 x^{7} - 20 x^{6} + 26 x^{5} + 20 x^{4} - 12 x^{3} - 10 x^{2} + 2 x + 2$ |
$13$ |
[3,5] |
$-\,2^{14}\cdot 6977087017$ |
$2$ |
$12.0612370249$ |
$417931.07479608984$ |
|
|
? |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$7$ |
$95.7333582025$ |
| 13.5.132939170094109.1 |
$x^{13} - x^{12} - x^{11} - 3 x^{10} + x^{9} + 5 x^{8} + 5 x^{7} + 3 x^{6} - 7 x^{5} - 7 x^{4} - 4 x^{3} + 2 x^{2} + 4 x + 1$ |
$13$ |
[5,4] |
$132939170094109$ |
$1$ |
$12.2021074028$ |
$11529924.982154436$ |
|
|
✓ |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$8$ |
$84.1149437602$ |
| 13.3.134713017952000.1 |
$x^{13} - 5 x^{12} + 15 x^{11} - 34 x^{10} + 56 x^{9} - 79 x^{8} + 85 x^{7} - 78 x^{6} + 53 x^{5} - 25 x^{4} + 6 x^{3} + 4 x^{2} - 2 x + 1$ |
$13$ |
[3,5] |
$-\,2^{8}\cdot 5^{3}\cdot 4209781811$ |
$3$ |
$12.214555267$ |
$867795.2892169062$ |
|
|
? |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$7$ |
$115.220069967$ |
| 13.7.137400291790087.1 |
$x^{13} - 4 x^{12} + x^{11} + 15 x^{10} - 18 x^{9} - 15 x^{8} + 38 x^{7} - 5 x^{6} - 32 x^{5} + 17 x^{4} + 11 x^{3} - 10 x^{2} - x + 1$ |
$13$ |
[7,3] |
$-\,137400291790087$ |
$1$ |
$12.2331277739$ |
$11721787.056165412$ |
|
|
✓ |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$9$ |
$110.814756768$ |
| 13.7.146839998625007.1 |
$x^{13} - 2 x^{11} - 3 x^{10} - 4 x^{9} + 7 x^{8} + 6 x^{7} - 4 x^{6} - 2 x^{5} - 5 x^{4} + 5 x^{3} + 3 x^{2} - 4 x + 1$ |
$13$ |
[7,3] |
$-\,146839998625007$ |
$1$ |
$12.2958132764$ |
$12117755.511026248$ |
|
|
✓ |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$9$ |
$115.283453799$ |
| 13.3.156408138976000.1 |
$x^{13} - 3 x^{12} + 3 x^{11} - 4 x^{10} + 4 x^{9} + 7 x^{8} - 20 x^{7} + 27 x^{6} - 35 x^{5} + 41 x^{4} - 36 x^{3} + 24 x^{2} - 12 x + 4$ |
$13$ |
[3,5] |
$-\,2^{8}\cdot 5^{3}\cdot 137\cdot 599\cdot 59561$ |
$5$ |
$12.3556644027$ |
$935065.8145079553$ |
|
|
? |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$7$ |
$127.407170199$ |
| 13.5.197683647463424.1 |
$x^{13} - 2 x^{12} + x^{11} - 3 x^{10} - 5 x^{9} + 7 x^{8} + 2 x^{7} + 6 x^{6} + 4 x^{5} - 6 x^{4} - 8 x^{3} + 6 x - 2$ |
$13$ |
[5,4] |
$2^{14}\cdot 12065652311$ |
$2$ |
$12.5802727589$ |
$549595.2837715879$ |
|
|
? |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$8$ |
$173.327894786$ |
| 13.3.215762905145828.1 |
$x^{13} - 2 x^{12} + x^{11} + 5 x^{10} - 10 x^{9} + 4 x^{8} + 8 x^{7} - 13 x^{6} + 5 x^{5} + 10 x^{4} - 9 x^{3} - 3 x^{2} + 4 x + 1$ |
$13$ |
[3,5] |
$-\,2^{2}\cdot 953\cdot 10313\cdot 5488313$ |
$4$ |
$12.665245094$ |
$14688870.111272275$ |
|
|
? |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$7$ |
$143.677539316$ |
| 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 |
$2$ |
$6$ |
$88.0923358606$ |
| 13.3.509211272757248.1 |
$x^{13} - x^{12} - 2 x^{11} - 2 x^{10} + 3 x^{9} + 4 x^{8} + 8 x^{7} - 4 x^{6} - 13 x^{5} + 3 x^{4} + 2 x^{3} - 6 x^{2} + x + 2$ |
$13$ |
[3,5] |
$-\,2^{14}\cdot 31079789597$ |
$2$ |
$13.5300638744$ |
$882077.2661754743$ |
|
|
? |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$7$ |
$379.340811006$ |
| 13.9.737652920184769.1 |
$x^{13} - 2 x^{12} - 8 x^{11} + 17 x^{10} + 21 x^{9} - 53 x^{8} - 19 x^{7} + 75 x^{6} - 48 x^{4} + 5 x^{3} + 12 x^{2} - x - 1$ |
$13$ |
[9,2] |
$737652920184769$ |
$1$ |
$13.9213364037$ |
$27159766.57088144$ |
|
|
✓ |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$10$ |
$394.327696405$ |
| 13.9.748906923760081.1 |
$x^{13} - x^{12} - 8 x^{11} + 3 x^{10} + 28 x^{9} - 50 x^{7} - 3 x^{6} + 44 x^{5} - 4 x^{4} - 17 x^{3} + 5 x^{2} + 2 x - 1$ |
$13$ |
[9,2] |
$364027\cdot 2057284003$ |
$2$ |
$13.9375602364$ |
$27366163.848082196$ |
|
|
? |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$10$ |
$397.580907117$ |
| 13.5.1204994394291500.1 |
$x^{13} - 3 x^{12} + 2 x^{10} + 6 x^{9} - 9 x^{7} - 3 x^{6} + x^{5} + 4 x^{4} - 8 x^{3} - 3 x^{2} + 3 x + 1$ |
$13$ |
[5,4] |
$2^{2}\cdot 5^{3}\cdot 83\cdot 11171\cdot 2599231$ |
$5$ |
$14.4569197834$ |
$10381617.17294946$ |
|
|
? |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$8$ |
$546.676164956$ |
| 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 |
$2$ |
$6$ |
$307.196082794$ |
| 13.3.1990387975424000.1 |
$x^{13} - x^{12} - 4 x^{11} - 2 x^{10} + 6 x^{9} + 3 x^{8} - x^{7} - 6 x^{6} + x^{4} + x^{3} - 12 x^{2} - 3 x + 1$ |
$13$ |
[3,5] |
$-\,2^{11}\cdot 5^{3}\cdot 84089\cdot 92461$ |
$4$ |
$15.0259301129$ |
$1179332.8112017198$ |
|
|
? |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$7$ |
$942.961496704$ |
| 13.11.4161299413431551.1 |
$x^{13} - x^{12} - 9 x^{11} + 5 x^{10} + 27 x^{9} - 6 x^{8} - 29 x^{7} - 3 x^{6} + x^{5} + 6 x^{4} + 12 x^{3} - 4 x - 1$ |
$13$ |
[11,1] |
$-\,137\cdot 14653\cdot 29411\cdot 70481$ |
$4$ |
$15.9030033771$ |
$64508134.47489821$ |
|
|
✓ |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$11$ |
$1435.89972821$ |
| 13.11.4712558875285687.1 |
$x^{13} - 6 x^{11} - 3 x^{10} + 9 x^{9} + 19 x^{8} + 7 x^{7} - 42 x^{6} - 25 x^{5} + 39 x^{4} + 15 x^{3} - 14 x^{2} - 2 x + 1$ |
$13$ |
[11,1] |
$-\,4712558875285687$ |
$1$ |
$16.0559178572$ |
$68648079.9096791$ |
|
|
✓ |
$S_{13}$ (as 13T9) |
trivial |
$2$ |
$11$ |
$1547.38105528$ |
