| 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 |
| 10.0.35450825752503.1 |
$x^{10} - 4 x^{9} + 9 x^{8} + 3 x^{7} - 21 x^{6} + 21 x^{4} - 3 x^{3} - 9 x^{2} + x + 5$ |
$10$ |
[0,5] |
$-\,3^{16}\cdot 7^{7}$ |
$2$ |
$22.6444947776$ |
$38.696915484297996$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
trivial |
$2$ |
$4$ |
$947.57589066$ |
| 10.0.35664401793024.1 |
$x^{10} - 3 x^{8} + 12 x^{6} - 24 x^{5} + 12 x^{4} + 45 x^{2} - 24 x + 9$ |
$10$ |
[0,5] |
$-\,2^{26}\cdot 3^{12}$ |
$2$ |
$22.6581002711$ |
$36.79242356556043$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
$[2]$ |
$2$ |
$4$ |
$1521.18366497$ |
| 10.0.36585180721152.1 |
$x^{10} - 2 x^{9} + 6 x^{7} + 6 x^{6} - 24 x^{5} + 9 x^{4} + 6 x^{3} + 3 x^{2} - 2 x + 1$ |
$10$ |
[0,5] |
$-\,2^{12}\cdot 3^{12}\cdot 7^{5}$ |
$3$ |
$22.7159299346$ |
$34.416160852848705$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
$[4]$ |
$2$ |
$4$ |
$571.742910269$ |
| 10.2.55267035185152.1 |
$x^{10} - 2 x^{9} + 9 x^{8} - 7 x^{2} + 14 x - 7$ |
$10$ |
[2,4] |
$2^{26}\cdot 7^{7}$ |
$2$ |
$23.6726358076$ |
$43.908719494596575$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
trivial |
$2$ |
$5$ |
$2752.6072985$ |
| 10.2.218070794717793.1 |
$x^{10} - 3 x^{9} + 6 x^{8} - 15 x^{7} + 21 x^{6} - 3 x^{5} - 27 x^{4} + 21 x^{3} + 6 x^{2} - 13 x - 3$ |
$10$ |
[2,4] |
$3^{12}\cdot 17^{7}$ |
$2$ |
$27.1556217413$ |
$54.86700011448388$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
trivial |
$2$ |
$5$ |
$3232.46275642$ |
| 10.0.245929148263683.1 |
$x^{10} - 3 x^{9} + x^{8} + 5 x^{7} - 3 x^{6} + 2 x^{5} - x^{4} - 5 x^{3} + 2 x^{2} + x + 1$ |
$10$ |
[0,5] |
$-\,3^{5}\cdot 17^{4}\cdot 59^{4}$ |
$3$ |
$27.4840671256$ |
$54.85435260760991$ |
|
|
✓ |
$\PGL(2,9)$ (as 10T30) |
$[8]$ |
$2$ |
$4$ |
$73.741641735$ |
| 10.0.507227047723008.4 |
$x^{10} - 4 x^{9} + 9 x^{8} - 16 x^{7} + 22 x^{6} - 24 x^{5} + 22 x^{4} - 16 x^{3} + 45 x^{2} + 12 x + 21$ |
$10$ |
[0,5] |
$-\,2^{33}\cdot 3^{10}$ |
$2$ |
$29.5474659203$ |
$57.64497384844813$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
trivial |
$2$ |
$4$ |
$17475.9313039$ |
| 10.2.648731689453125.3 |
$x^{10} - 15 x^{6} - 9 x^{5} + 15 x^{4} + 30 x^{3} + 135 x^{2} + 200 x + 84$ |
$10$ |
[2,4] |
$3^{12}\cdot 5^{13}$ |
$2$ |
$30.2835309749$ |
$37.26742747489985$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
$[8]$ |
$2$ |
$5$ |
$3067.87335686$ |
| 10.0.740849909603328.1 |
$x^{10} - 4 x^{9} + 30 x^{7} - 39 x^{6} - 108 x^{5} + 180 x^{4} + 198 x^{3} - 288 x^{2} - 178 x + 226$ |
$10$ |
[0,5] |
$-\,2^{10}\cdot 3^{16}\cdot 7^{5}$ |
$3$ |
$30.6883135794$ |
$41.87610167134826$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
$[4]$ |
$2$ |
$4$ |
$2378.87804861$ |
| 10.0.1141260857376768.7 |
$x^{10} - 24 x^{4} - 48 x^{3} + 18 x^{2} + 64 x + 96$ |
$10$ |
[0,5] |
$-\,2^{31}\cdot 3^{12}$ |
$2$ |
$32.043392701$ |
$67.47760233783548$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
trivial |
$2$ |
$4$ |
$18613.8641464$ |
| 10.2.1163398544883712.1 |
$x^{10} - 2 x^{9} + 8 x^{8} + 12 x^{7} + 3 x^{6} + 30 x^{5} - 20 x^{4} - 112 x^{3} + 35 x^{2} + 102 x - 46$ |
$10$ |
[2,4] |
$2^{24}\cdot 37^{5}$ |
$2$ |
$32.1050131123$ |
$48.662100242385755$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
$[2]$ |
$2$ |
$5$ |
$4630.13902933$ |
| 10.0.1358954496000000.2 |
$x^{10} - 4 x^{9} + 4 x^{8} + 24 x^{7} - 42 x^{6} - 8 x^{5} + 120 x^{4} - 96 x^{3} + 122 x^{2} - 104 x + 120$ |
$10$ |
[0,5] |
$-\,2^{30}\cdot 3^{4}\cdot 5^{6}$ |
$3$ |
$32.6077243842$ |
$62.48479718748528$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
trivial |
$2$ |
$4$ |
$28131.5908629$ |
| 10.2.1444408272617472.2 |
$x^{10} - 2 x^{9} + 3 x^{8} - 24 x^{7} - 24 x^{6} - 72 x^{5} - 72 x^{4} - 72 x^{3} - 27 x^{2} - 138 x - 57$ |
$10$ |
[2,4] |
$2^{25}\cdot 3^{16}$ |
$2$ |
$32.8071871977$ |
$47.429446013156884$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
$[2]$ |
$2$ |
$5$ |
$13785.5998244$ |
| 10.0.1792673855336448.1 |
$x^{10} - 4 x^{9} + 6 x^{8} + 21 x^{4} + 21 x^{2} + 28 x + 35$ |
$10$ |
[0,5] |
$-\,2^{12}\cdot 3^{12}\cdot 7^{7}$ |
$3$ |
$33.5235597381$ |
$71.39605046442313$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
trivial |
$2$ |
$4$ |
$18390.6340621$ |
| 10.0.1792673855336448.2 |
$x^{10} - 2 x^{9} - 6 x^{7} + 21 x^{6} - 42 x^{4} + 48 x^{3} + 324 x^{2} - 224 x + 160$ |
$10$ |
[0,5] |
$-\,2^{12}\cdot 3^{12}\cdot 7^{7}$ |
$3$ |
$33.5235597381$ |
$71.39605046442313$ |
|
|
|
$\PGL(2,9)$ (as 10T30) |
trivial |
$2$ |
$4$ |
$48929.2066556$ |
| 10.0.2268852848160192.1 |
$x^{10} - x^{9} - 3 x^{8} + 3 x^{7} - 21 x^{6} + 21 x^{5} + 147 x^{4} + 69 x^{3} - 48 x^{2} - 32 x + 32$ |
$10$ |
[0,5] |
$-\,2^{6}\cdot 3^{16}\cdot 7^{7}$ |
$3$ |
$34.3226358746$ |
$61.42752434769915$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
trivial |
$2$ |
$4$ |
$29115.4549569$ |
| 10.0.2446118092800000.3 |
$x^{10} - 2 x^{9} + 5 x^{8} + 12 x^{6} - 96 x^{5} + 240 x^{4} - 360 x^{3} + 297 x^{2} - 162 x + 81$ |
$10$ |
[0,5] |
$-\,2^{30}\cdot 3^{6}\cdot 5^{5}$ |
$3$ |
$34.5818117228$ |
$62.88682625400702$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
$[2]$ |
$2$ |
$4$ |
$13640.5965668$ |
| 10.2.3049119689998336.5 |
$x^{10} - 3 x^{9} + 2 x^{8} + 12 x^{7} - 18 x^{6} + 14 x^{5} + 32 x^{4} - 52 x^{3} + 33 x^{2} + 53 x - 42$ |
$10$ |
[2,4] |
$2^{31}\cdot 17^{5}$ |
$2$ |
$35.3522815422$ |
$60.49447246802112$ |
|
|
|
$\PGL(2,9)$ (as 10T30) |
$[2]$ |
$2$ |
$5$ |
$27550.419446919223$ |
| 10.2.3090719637245952.1 |
$x^{10} - 2 x^{9} - 3 x^{8} + 18 x^{7} - 3 x^{6} - 72 x^{5} + 72 x^{4} + 72 x^{3} - 234 x^{2} - 36 x - 36$ |
$10$ |
[2,4] |
$2^{12}\cdot 3^{12}\cdot 17^{5}$ |
$3$ |
$35.4002200103$ |
$53.63371297638887$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
$[4]$ |
$2$ |
$5$ |
$12160.927328$ |
| 10.2.3820118932979712.1 |
$x^{10} - 4 x^{9} + 2 x^{8} + 8 x^{7} - 10 x^{6} + 40 x^{5} + 36 x^{4} - 32 x^{3} + 22 x^{2} - 24 x - 68$ |
$10$ |
[2,4] |
$2^{30}\cdot 3^{5}\cdot 11^{4}$ |
$3$ |
$36.1582737487$ |
$70.8746136058003$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
trivial |
$2$ |
$5$ |
$45699.9611546$ |
| 10.2.4565043429507072.12 |
$x^{10} - 4 x^{9} + 24 x^{7} - 42 x^{6} + 84 x^{4} - 120 x^{3} - 81 x^{2} + 188 x - 212$ |
$10$ |
[2,4] |
$2^{33}\cdot 3^{12}$ |
$2$ |
$36.8081924841$ |
$73.58484713112087$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
trivial |
$2$ |
$5$ |
$46428.7534661$ |
| 10.2.8153726976000000.7 |
$x^{10} + 4 x^{8} - 8 x^{7} - 8 x^{6} + 40 x^{4} - 400 x^{3} + 350 x^{2} + 400$ |
$10$ |
[2,4] |
$2^{31}\cdot 3^{5}\cdot 5^{6}$ |
$3$ |
$39.006377232$ |
$62.48479718748528$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
trivial |
$2$ |
$5$ |
$38936.1796631$ |
| 10.0.10554638336000000.1 |
$x^{10} - 3 x^{9} + 4 x^{8} + 18 x^{7} - 29 x^{6} - 97 x^{5} + 96 x^{4} + 122 x^{3} - 151 x^{2} + 153 x + 430$ |
$10$ |
[0,5] |
$-\,2^{22}\cdot 5^{6}\cdot 11^{5}$ |
$3$ |
$40.0261976543$ |
$65.2392310516812$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
$[4]$ |
$2$ |
$4$ |
$10072.5269355$ |
| 10.2.11694053485707264.1 |
$x^{10} - 4 x^{9} + 13 x^{8} + 16 x^{7} - 108 x^{6} + 176 x^{5} + 100 x^{4} - 224 x^{3} + 238 x^{2} + 408 x + 270$ |
$10$ |
[2,4] |
$2^{33}\cdot 3^{4}\cdot 7^{5}$ |
$3$ |
$40.4386368589$ |
$73.32121111929344$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
trivial |
$2$ |
$5$ |
$77962.4885239$ |
| 10.2.13956530861938752.1 |
$x^{10} - 5 x^{9} - 3 x^{8} + 33 x^{7} + 3 x^{6} - 27 x^{5} - 99 x^{4} - 57 x^{3} - 60 x^{2} - 44 x - 14$ |
$10$ |
[2,4] |
$2^{6}\cdot 3^{12}\cdot 17^{7}$ |
$3$ |
$41.1602257472$ |
$87.09593370007103$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
trivial |
$2$ |
$5$ |
$140284.31416$ |
| 10.2.20480000000000000.11 |
$x^{10} - 20 x^{8} + 150 x^{6} - 48 x^{5} - 360 x^{4} + 240 x^{3} + 140 x^{2} - 640 x - 64$ |
$10$ |
[2,4] |
$2^{24}\cdot 5^{13}$ |
$2$ |
$42.7693839996$ |
$64.8262638677105$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
$[2]$ |
$2$ |
$5$ |
$14846.6140672$ |
| 10.0.22290251120640000.1 |
$x^{10} - 4 x^{9} + 9 x^{8} - 12 x^{6} + 24 x^{5} + 36 x^{4} - 3 x^{2} + 4 x + 5$ |
$10$ |
[0,5] |
$-\,2^{26}\cdot 3^{12}\cdot 5^{4}$ |
$3$ |
$43.1331818249$ |
$82.27036014955831$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
$[2]$ |
$2$ |
$4$ |
$44331.1564643$ |
| 10.0.28682781685383168.1 |
$x^{10} + 3 x^{8} - 36 x^{7} + 84 x^{6} - 84 x^{5} - 42 x^{4} + 144 x^{3} - 16 x + 24$ |
$10$ |
[0,5] |
$-\,2^{16}\cdot 3^{12}\cdot 7^{7}$ |
$3$ |
$44.2346022717$ |
$100.9692628666611$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
trivial |
$2$ |
$4$ |
$108861.5156$ |
| 10.2.32780321926152192.1 |
$x^{10} - 18 x^{8} + 123 x^{6} - 132 x^{5} - 96 x^{4} + 156 x^{3} + 66 x^{2} - 128 x + 60$ |
$10$ |
[2,4] |
$2^{19}\cdot 3^{12}\cdot 7^{6}$ |
$3$ |
$44.8292343429$ |
$67.31736281951952$ |
|
|
|
$\PGL(2,9)$ (as 10T30) |
$[4]$ |
$2$ |
$5$ |
$109017.609875$ |
| 10.0.36301645570563072.1 |
$x^{10} - 4 x^{9} - 9 x^{8} + 66 x^{7} - 21 x^{6} - 378 x^{5} + 819 x^{4} - 90 x^{3} - 4176 x^{2} + 3638 x + 9082$ |
$10$ |
[0,5] |
$-\,2^{10}\cdot 3^{16}\cdot 7^{7}$ |
$3$ |
$45.2889895551$ |
$86.87163803551965$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
trivial |
$2$ |
$4$ |
$108773.977513$ |
| 10.0.83599920451289088.1 |
$x^{10} - 4 x^{9} + 28 x^{8} - 64 x^{7} + 316 x^{6} - 428 x^{5} + 1838 x^{4} - 1208 x^{3} + 3995 x^{2} - 224 x + 834$ |
$10$ |
[0,5] |
$-\,2^{22}\cdot 3^{4}\cdot 7^{5}\cdot 11^{4}$ |
$4$ |
$49.228951539$ |
$102.24415217048806$ |
|
|
|
$\PGL(2,9)$ (as 10T30) |
$[2]$ |
$2$ |
$4$ |
$203095.60898$ |
| 10.0.92389579776000000.1 |
$x^{10} - 4 x^{9} - 3 x^{8} + 24 x^{7} + 49 x^{6} - 166 x^{5} - 358 x^{4} + 384 x^{3} + 2210 x^{2} + 2348 x + 820$ |
$10$ |
[0,5] |
$-\,2^{16}\cdot 3^{5}\cdot 5^{6}\cdot 13^{5}$ |
$4$ |
$49.7235696651$ |
$73.04193968968303$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
$[2, 4]$ |
$2$ |
$4$ |
$21112.9438408$ |
| 10.0.114731126741532672.1 |
$x^{10} - 9 x^{8} - 24 x^{7} + 63 x^{6} + 252 x^{5} + 651 x^{4} + 828 x^{3} + 504 x^{2} + 136 x + 36$ |
$10$ |
[0,5] |
$-\,2^{18}\cdot 3^{12}\cdot 7^{7}$ |
$3$ |
$50.8122148634$ |
$113.33416561359994$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
trivial |
$2$ |
$4$ |
$154469.344444$ |
| 10.0.145206582282252288.1 |
$x^{10} - 2 x^{9} + 15 x^{8} - 42 x^{7} + 147 x^{6} - 126 x^{5} + 1071 x^{4} - 1386 x^{3} + 5166 x^{2} - 4704 x + 6132$ |
$10$ |
[0,5] |
$-\,2^{12}\cdot 3^{16}\cdot 7^{7}$ |
$3$ |
$52.0233878014$ |
$109.45140539979931$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
trivial |
$2$ |
$4$ |
$222681.515329$ |
| 10.0.145206582282252288.2 |
$x^{10} - 2 x^{9} + 9 x^{8} + 42 x^{7} - 84 x^{6} + 378 x^{5} + 525 x^{4} - 1302 x^{3} + 5985 x^{2} - 3556 x + 7364$ |
$10$ |
[0,5] |
$-\,2^{12}\cdot 3^{16}\cdot 7^{7}$ |
$3$ |
$52.0233878014$ |
$109.45140539979931$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
trivial |
$2$ |
$4$ |
$367150.327655$ |
| 10.2.166075312500000000.7 |
$x^{10} - 30 x^{6} - 456 x^{5} + 840 x^{4} + 720 x^{3} - 315 x^{2} + 120 x + 144$ |
$10$ |
[2,4] |
$2^{8}\cdot 3^{12}\cdot 5^{13}$ |
$3$ |
$52.7266898976$ |
$74.5348549497997$ |
|
|
|
$\PGL(2,9)$ (as 10T30) |
$[4]$ |
$2$ |
$5$ |
$72686.9320623$ |
| 10.2.223304493791020032.1 |
$x^{10} - 4 x^{9} + 12 x^{8} - 6 x^{7} + 72 x^{6} + 330 x^{5} - 318 x^{4} - 636 x^{3} + 288 x^{2} - 160 x + 16$ |
$10$ |
[2,4] |
$2^{10}\cdot 3^{12}\cdot 17^{7}$ |
$3$ |
$54.3112434826$ |
$123.17225066618836$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
trivial |
$2$ |
$5$ |
$390451.00375$ |
| 10.2.326714810135067648.1 |
$x^{10} + 9 x^{8} - 24 x^{7} - 63 x^{6} + 126 x^{5} + 21 x^{4} + 2862 x^{3} - 1575 x^{2} - 4846 x - 4239$ |
$10$ |
[2,4] |
$2^{10}\cdot 3^{18}\cdot 7^{7}$ |
$3$ |
$56.4178955127$ |
$105.01226515720855$ |
|
|
|
$\PGL(2,9)$ (as 10T30) |
trivial |
$2$ |
$5$ |
$438305.980618$ |
| 10.0.369768517790072832.1 |
$x^{10} - 4 x^{9} + 9 x^{8} - 48 x^{7} + 138 x^{6} + 216 x^{5} - 78 x^{4} - 912 x^{3} - 153 x^{2} + 3764 x + 5311$ |
$10$ |
[0,5] |
$-\,2^{33}\cdot 3^{16}$ |
$2$ |
$57.1206305903$ |
$112.80686931896722$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
trivial |
$2$ |
$4$ |
$284395.71885$ |
| 10.2.524...000.29 |
$x^{10} - 5 x^{8} - 10 x^{6} - 256 x^{5} + 850 x^{4} - 2240 x^{3} + 3435 x^{2} - 7600 x + 6321$ |
$10$ |
[2,4] |
$2^{31}\cdot 5^{12}$ |
$2$ |
$59.1503054651$ |
$118.89189214508683$ |
|
|
|
$\PGL(2,9)$ (as 10T30) |
trivial |
$2$ |
$5$ |
$1216774.67949$ |
| 10.0.557256278016000000.6 |
$x^{10} - 4 x^{9} + 9 x^{8} - 24 x^{7} + 66 x^{6} - 144 x^{5} + 234 x^{4} - 360 x^{3} + 630 x^{2} - 720 x + 450$ |
$10$ |
[0,5] |
$-\,2^{26}\cdot 3^{12}\cdot 5^{6}$ |
$3$ |
$59.512130357$ |
$107.58169913753977$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
$[4]$ |
$2$ |
$4$ |
$161592.47201$ |
| 10.0.557256278016000000.7 |
$x^{10} - 2 x^{9} - 6 x^{8} + 24 x^{7} - 30 x^{6} + 12 x^{5} + 144 x^{4} - 384 x^{3} + 594 x^{2} - 692 x + 460$ |
$10$ |
[0,5] |
$-\,2^{26}\cdot 3^{12}\cdot 5^{6}$ |
$3$ |
$59.512130357$ |
$107.58169913753977$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
$[2]$ |
$2$ |
$4$ |
$327127.173064$ |
| 10.2.599411600935354368.1 |
$x^{10} - 4 x^{9} + 48 x^{7} - 132 x^{6} + 576 x^{4} - 1056 x^{3} + 648 x^{2} - 224 x + 32$ |
$10$ |
[2,4] |
$2^{26}\cdot 3^{12}\cdot 7^{5}$ |
$3$ |
$59.9476984984$ |
$97.34360288582525$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
$[4]$ |
$2$ |
$5$ |
$147855.353696$ |
| 10.2.599411600935354368.2 |
$x^{10} - 4 x^{9} - 3 x^{8} + 72 x^{7} - 144 x^{6} - 240 x^{5} + 1104 x^{4} - 168 x^{3} - 1479 x^{2} - 1316 x + 2213$ |
$10$ |
[2,4] |
$2^{26}\cdot 3^{12}\cdot 7^{5}$ |
$3$ |
$59.9476984984$ |
$91.58000859655604$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
$[4]$ |
$2$ |
$5$ |
$85079.1632809$ |
| 10.0.831979165027663872.2 |
$x^{10} - 2 x^{9} + 9 x^{8} - 36 x^{6} + 216 x^{5} - 324 x^{4} + 864 x^{3} + 972 x^{2} - 6264 x + 12204$ |
$10$ |
[0,5] |
$-\,2^{31}\cdot 3^{18}$ |
$2$ |
$61.9457114282$ |
$118.02743800514494$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
trivial |
$2$ |
$4$ |
$551505.530338$ |
| 10.0.831979165027663872.3 |
$x^{10} - 4 x^{9} + 24 x^{7} + 138 x^{6} - 720 x^{5} - 348 x^{4} + 4344 x^{3} - 495 x^{2} - 13964 x + 13052$ |
$10$ |
[0,5] |
$-\,2^{31}\cdot 3^{18}$ |
$2$ |
$61.9457114282$ |
$118.02743800514494$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
trivial |
$2$ |
$4$ |
$556400.982635$ |
| 10.0.831979165027663872.4 |
$x^{10} - 2 x^{9} + 9 x^{8} + 48 x^{7} - 96 x^{6} + 576 x^{5} + 192 x^{4} - 528 x^{3} + 10026 x^{2} - 13332 x + 29490$ |
$10$ |
[0,5] |
$-\,2^{31}\cdot 3^{18}$ |
$2$ |
$61.9457114282$ |
$140.35906904126094$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
trivial |
$2$ |
$4$ |
$426106.085171$ |
| 10.0.995...000.13 |
$x^{10} - 5 x^{8} - 20 x^{7} + 255 x^{6} - 764 x^{5} + 1475 x^{4} - 1540 x^{3} + 965 x^{2} + 1040 x + 199$ |
$10$ |
[0,5] |
$-\,2^{24}\cdot 3^{5}\cdot 5^{12}$ |
$3$ |
$63.0661939616$ |
$112.2823826837411$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
$[2]$ |
$2$ |
$4$ |
$97648.1677613$ |
| 10.2.106...432.1 |
$x^{10} - 2 x^{9} - 3 x^{8} + 48 x^{7} - 54 x^{6} - 204 x^{5} + 726 x^{4} + 288 x^{3} - 2118 x^{2} + 1372 x + 3490$ |
$10$ |
[2,4] |
$2^{30}\cdot 3^{10}\cdot 7^{5}$ |
$3$ |
$63.4980314656$ |
$117.60457536079592$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
trivial |
$2$ |
$5$ |
$983307.820399$ |
| 10.2.107...000.1 |
$x^{10} - 4 x^{9} - 31 x^{8} + 136 x^{7} + 326 x^{6} - 1624 x^{5} - 666 x^{4} + 4880 x^{3} + 1420 x^{2} - 880 x - 4100$ |
$10$ |
[2,4] |
$2^{24}\cdot 3^{5}\cdot 5^{6}\cdot 7^{5}$ |
$4$ |
$63.5277742265$ |
$107.19626095003223$ |
|
|
? |
$\PGL(2,9)$ (as 10T30) |
$[2]$ |
$2$ |
$5$ |
$160515.685795$ |
