| 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 |
| 10.6.273226467449088.1 |
$x^{10} - x^{9} - 14 x^{8} + 6 x^{7} + 61 x^{6} - 25 x^{5} - 124 x^{4} + 78 x^{3} + 108 x^{2} - 118 x + 26$ |
$10$ |
[6,2] |
$2^{8}\cdot 3^{2}\cdot 17^{9}$ |
$3$ |
$27.7748854646$ |
$38.61789995681219$ |
|
|
? |
$S_5\times C_2$ (as 10T22) |
trivial |
$2$ |
$7$ |
$14582.9622639$ |
| 10.6.7002495519271353.1 |
$x^{10} - 4 x^{9} - 20 x^{8} + 95 x^{7} + 27 x^{6} - 457 x^{5} + 430 x^{4} - 6 x^{3} - 113 x^{2} + 21 x + 8$ |
$10$ |
[6,2] |
$3^{10}\cdot 17^{9}$ |
$2$ |
$38.4171624412$ |
$95.96797469409236$ |
|
|
? |
$S_5\times C_2$ (as 10T22) |
trivial |
$2$ |
$7$ |
$89437.7006455$ |
| 10.2.63022459673442177.1 |
$x^{10} - x^{9} + 3 x^{8} - 28 x^{7} + 10 x^{6} - 93 x^{5} + 148 x^{4} - 109 x^{3} + 57 x^{2} - 33 x + 9$ |
$10$ |
[2,4] |
$3^{12}\cdot 17^{9}$ |
$2$ |
$47.8574478652$ |
$95.96797469409236$ |
|
|
|
$C_2 \wr S_5$ (as 10T39) |
$[2]$ |
$2$ |
$5$ |
$39374.4991288$ |
| 10.2.115...625.1 |
$x^{10} - 17$ |
$10$ |
[2,4] |
$5^{10}\cdot 17^{9}$ |
$2$ |
$64.0286040686$ |
$81.51162180784348$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
trivial |
$2$ |
$5$ |
$427860.98447756877$ |
| 10.2.705...537.1 |
$x^{10} - 17 x^{8} + 986 x^{4} - 14297$ |
$10$ |
[2,4] |
$17^{9}\cdot 29^{6}$ |
$2$ |
$96.5701326548$ |
$160.0304135952771$ |
|
|
|
$S_5\times C_2$ (as 10T22) |
trivial |
$2$ |
$5$ |
$1493926.99162$ |
| 10.2.705...537.2 |
$x^{10} - 2 x^{9} - 5 x^{8} - 122 x^{7} - 95 x^{6} + 1444 x^{5} + 9472 x^{4} + 6516 x^{3} + 3219 x^{2} - 43348 x + 21932$ |
$10$ |
[2,4] |
$17^{9}\cdot 29^{6}$ |
$2$ |
$96.5701326548$ |
$211.86978578607543$ |
|
|
|
$S_5\times C_2$ (as 10T22) |
trivial |
$2$ |
$5$ |
$2214719.44078$ |
| 10.2.705...537.3 |
$x^{10} - x^{9} - 48 x^{8} + 40 x^{7} + 724 x^{6} - 484 x^{5} - 1909 x^{4} + 27 x^{3} - 215 x^{2} + x - 3952$ |
$10$ |
[2,4] |
$17^{9}\cdot 29^{6}$ |
$2$ |
$96.5701326548$ |
$160.0304135952771$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
trivial |
$2$ |
$5$ |
$4036835.26145$ |
| 10.2.296...000.1 |
$x^{10} - 1088$ |
$10$ |
[2,4] |
$2^{8}\cdot 5^{10}\cdot 17^{9}$ |
$3$ |
$111.480274678$ |
$141.91997655999756$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
$[2]$ |
$2$ |
$5$ |
$2922645.972800557$ |
| 10.2.296...000.2 |
$x^{10} - 4352$ |
$10$ |
[2,4] |
$2^{8}\cdot 5^{10}\cdot 17^{9}$ |
$3$ |
$111.480274678$ |
$141.91997655999756$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
trivial |
$2$ |
$5$ |
$5691568.80522037$ |
| 10.2.296...000.3 |
$x^{10} - 272$ |
$10$ |
[2,4] |
$2^{8}\cdot 5^{10}\cdot 17^{9}$ |
$3$ |
$111.480274678$ |
$141.91997655999756$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
trivial |
$2$ |
$5$ |
$5564946.545695435$ |
| 10.2.759...625.1 |
$x^{10} - 1377$ |
$10$ |
[2,4] |
$3^{8}\cdot 5^{10}\cdot 17^{9}$ |
$3$ |
$154.195264882$ |
$196.29829977491266$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
$[2, 2]$ |
$2$ |
$5$ |
$7613929.075738051$ |
| 10.2.194...000.1 |
$x^{10} - 88128$ |
$10$ |
[2,4] |
$2^{8}\cdot 3^{8}\cdot 5^{10}\cdot 17^{9}$ |
$4$ |
$268.469549401$ |
$341.7751908862433$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
$[5, 20]$ |
$2$ |
$5$ |
$4248377.707571358$ |
| 10.2.194...000.2 |
$x^{10} - 5508$ |
$10$ |
[2,4] |
$2^{8}\cdot 3^{8}\cdot 5^{10}\cdot 17^{9}$ |
$4$ |
$268.469549401$ |
$341.7751908862433$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
$[5, 5]$ |
$2$ |
$5$ |
$19130725.696678527$ |
| 10.0.291...000.1 |
$x^{10} + 255 x^{8} + 26010 x^{6} + 1338750 x^{4} + 32724405 x^{2} + 347281695$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 3^{9}\cdot 5^{11}\cdot 17^{9}$ |
$4$ |
$351.96879376$ |
$381.46321085799747$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
$[2, 2, 10, 60]$ |
$2$ |
$4$ |
$792861.7015520956$ |
| 10.2.314...625.1 |
$x^{10} - 1773593$ |
$10$ |
[2,4] |
$5^{6}\cdot 17^{9}\cdot 19^{8}$ |
$3$ |
$354.640975264$ |
$451.4757345372915$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
$[2, 10]$ |
$2$ |
$5$ |
$113170379.91781409$ |
| 10.2.115...000.1 |
$x^{10} - 170000$ |
$10$ |
[2,4] |
$2^{8}\cdot 5^{18}\cdot 17^{9}$ |
$3$ |
$403.993179939$ |
$514.3035644015073$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
$[5]$ |
$2$ |
$5$ |
$775589205.6011266$ |
| 10.2.115...000.2 |
$x^{10} - 5 x^{9} - 10 x^{8} + 70 x^{7} + 45 x^{6} + 279 x^{5} - 1880 x^{4} + 31720 x^{3} - 43560 x^{2} + 82020 x + 80236$ |
$10$ |
[2,4] |
$2^{8}\cdot 5^{18}\cdot 17^{9}$ |
$3$ |
$403.993179939$ |
$514.3035644015073$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
$[4]$ |
$2$ |
$5$ |
$1007409856.3582734$ |
| 10.0.124...000.1 |
$x^{10} + 5508$ |
$10$ |
[0,5] |
$-\,2^{14}\cdot 3^{8}\cdot 5^{10}\cdot 17^{9}$ |
$4$ |
$406.923743631$ |
$518.0343188485326$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
$[20]$ |
$2$ |
$4$ |
$147303093.4031728$ |
| 10.0.124...000.2 |
$x^{10} + 88128$ |
$10$ |
[0,5] |
$-\,2^{14}\cdot 3^{8}\cdot 5^{10}\cdot 17^{9}$ |
$4$ |
$406.923743631$ |
$518.0343188485326$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
$[5, 20, 20]$ |
$2$ |
$4$ |
$1703498.594474949$ |
| 10.0.741...000.1 |
$x^{10} + 1062500$ |
$10$ |
[0,5] |
$-\,2^{14}\cdot 5^{18}\cdot 17^{9}$ |
$3$ |
$612.339155591$ |
$779.538432778712$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
$[4, 4]$ |
$2$ |
$4$ |
$4691724633.581024$ |
| 10.2.232...000.1 |
$x^{10} - 19029188$ |
$10$ |
[2,4] |
$2^{8}\cdot 5^{10}\cdot 17^{9}\cdot 23^{8}$ |
$4$ |
$1369.55758947$ |
$1743.5154475226827$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
$[2, 2, 20]$ |
$2$ |
$5$ |
$20013710668.030632$ |
| 15.1.198...000.1 |
$x^{15} - 5 x^{14} + 10 x^{13} + 60 x^{12} - 275 x^{11} + 453 x^{10} + 2700 x^{9} + 2350 x^{8} + 26280 x^{7} + 83960 x^{6} + 144768 x^{5} + 440880 x^{4} + 986320 x^{3} + 1037360 x^{2} + 2067200 x + 2130656$ |
$15$ |
[1,7] |
$-\,2^{18}\cdot 5^{17}\cdot 17^{13}$ |
$3$ |
$165.878868741$ |
$226.9658560174881$ |
|
|
|
$F_5 \times S_3$ (as 15T11) |
$[2]$ |
$2$ |
$7$ |
$240528692453.7384$ |
| 15.3.725...000.1 |
$x^{15} - 7 x^{14} - 59 x^{13} + 309 x^{12} + 1697 x^{11} - 3207 x^{10} - 21883 x^{9} - 9219 x^{8} - 621677 x^{7} + 6757451 x^{6} - 27920333 x^{5} + 63591259 x^{4} - 87549165 x^{3} + 75256715 x^{2} - 37669285 x + 8465195$ |
$15$ |
[3,6] |
$2^{18}\cdot 5^{10}\cdot 17^{13}\cdot 31^{5}$ |
$4$ |
$245.881371834$ |
$629.1502497503839$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$8$ |
$8166226254269.9795$ |
| 15.1.191...000.1 |
$x^{15} - 7973 x^{10} - 46257 x^{5} - 83521$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 5^{17}\cdot 17^{13}\cdot 19^{5}$ |
$4$ |
$305.839048731$ |
$595.089104217459$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
$[3]$ |
$2$ |
$7$ |
$3260596007524.4233$ |
| 15.1.766...000.1 |
$x^{15} - 5 x^{14} + 15 x^{13} + 380 x^{12} - 4655 x^{11} + 4933 x^{10} + 84865 x^{9} - 554020 x^{8} + 2011555 x^{7} - 1939565 x^{6} - 1193007 x^{5} - 2609830 x^{4} + 8307320 x^{3} - 1370960 x^{2} - 2840720 x + 943376$ |
$15$ |
[1,7] |
$-\,2^{12}\cdot 5^{17}\cdot 17^{13}\cdot 19^{5}$ |
$4$ |
$335.451908415$ |
$652.7085946498075$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$18709310307477.77$ |
| 15.3.131...000.1 |
$x^{15} - 96866 x^{10} - 32401660 x^{5} - 668168$ |
$15$ |
[3,6] |
$2^{18}\cdot 5^{10}\cdot 17^{13}\cdot 139^{5}$ |
$4$ |
$405.455624764$ |
$1332.2352682588532$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$8$ |
$293231061448877.06$ |
| 15.3.325...000.1 |
$x^{15} - 2193 x^{10} + 52037 x^{5} + 83521$ |
$15$ |
[3,6] |
$2^{10}\cdot 5^{15}\cdot 17^{13}\cdot 101^{5}$ |
$4$ |
$430.678168891$ |
$1300.3698301778893$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$8$ |
$134981559979671.27$ |
| 15.1.949...000.1 |
$x^{15} - 50 x^{13} - 750 x^{12} + 1000 x^{11} + 29847 x^{10} + 215000 x^{9} - 457650 x^{8} - 7388500 x^{7} - 30852000 x^{6} + 66260303 x^{5} + 513097500 x^{4} + 2291470200 x^{3} - 3045004500 x^{2} - 27853524000 x - 76525790151$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 3^{12}\cdot 5^{10}\cdot 17^{13}\cdot 71^{5}$ |
$5$ |
$539.310470314$ |
$1379.2543883006012$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
$[2]$ |
$2$ |
$7$ |
$1429888585784526.8$ |
| 15.1.833...000.1 |
$x^{15} - 444771 x^{10} + 1340929655 x^{5} - 3145632129649$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 5^{9}\cdot 17^{13}\cdot 19^{13}$ |
$4$ |
$623.319699175$ |
$962.0473266901886$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
$[10]$ |
$2$ |
$7$ |
$213941827723534.97$ |
| 15.1.141...000.1 |
$x^{15} - 748 x^{10} + 7037184 x^{5} - 171051008$ |
$15$ |
[1,7] |
$-\,2^{23}\cdot 5^{15}\cdot 17^{13}\cdot 89^{5}$ |
$4$ |
$752.896130503$ |
$2869.931488539685$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$9257930585265560.0$ |
| 15.1.590...000.1 |
$x^{15} - 4233 x^{10} + 6728192 x^{5} - 2736816128$ |
$15$ |
[1,7] |
$-\,2^{15}\cdot 5^{15}\cdot 17^{13}\cdot 359^{5}$ |
$4$ |
$828.108447187$ |
$4368.292913089434$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$16423875606207682$ |
| 15.1.354...000.1 |
$x^{15} - 2074 x^{10} + 25026176 x^{5} - 2138137600000$ |
$15$ |
[1,7] |
$-\,2^{12}\cdot 5^{9}\cdot 17^{13}\cdot 41^{5}\cdot 131^{5}$ |
$5$ |
$933.139947319$ |
$5463.6529493597955$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
$[2]$ |
$2$ |
$7$ |
$27651876308392604$ |
| 15.1.538...000.1 |
$x^{15} - 14654 x^{10} + 150196224 x^{5} - 21894529024$ |
$15$ |
[1,7] |
$-\,2^{23}\cdot 5^{9}\cdot 17^{13}\cdot 31^{5}\cdot 41^{5}$ |
$5$ |
$959.545510916$ |
$5697.19782124507$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$107287236140052130$ |
| 15.1.244...000.1 |
$x^{15} - 77826 x^{10} - 55496704 x^{5} - 21894529024$ |
$15$ |
[1,7] |
$-\,2^{23}\cdot 5^{9}\cdot 17^{13}\cdot 1721^{5}$ |
$4$ |
$1061.55870975$ |
$6629.472286036874$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
$[2]$ |
$2$ |
$7$ |
$62060931953018750$ |
| 15.1.293...000.1 |
$x^{15} - 100 x^{13} - 350 x^{12} + 4000 x^{11} + 26623 x^{10} - 31000 x^{9} - 977700 x^{8} - 5031700 x^{7} + 4098000 x^{6} + 46593043 x^{5} - 185708500 x^{4} - 444717600 x^{3} - 832170100 x^{2} - 2634631000 x - 6281569579$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 3^{12}\cdot 5^{17}\cdot 17^{13}\cdot 59^{5}$ |
$5$ |
$1074.54038276$ |
$2525.3885539543567$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
$[3]$ |
$2$ |
$7$ |
$56040554220985440$ |
| 15.1.879...000.1 |
$x^{15} - 5 x^{14} + 90 x^{13} - 580 x^{12} + 4045 x^{11} - 25093 x^{10} + 121360 x^{9} - 621650 x^{8} + 3058680 x^{7} - 9191240 x^{6} + 26678592 x^{5} - 32186560 x^{4} + 139970960 x^{3} - 202661840 x^{2} + 750735040 x + 117904096$ |
$15$ |
[1,7] |
$-\,2^{18}\cdot 5^{15}\cdot 17^{13}\cdot 1021^{5}$ |
$4$ |
$1347.73232529$ |
$6873.444008041267$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$1017581848859534200$ |
| 15.1.280...000.1 |
$x^{15} - 5 x^{14} - 100 x^{13} - 10 x^{12} + 5945 x^{11} + 21897 x^{10} - 128690 x^{9} - 1198140 x^{8} - 1558240 x^{7} + 19927700 x^{6} + 96004804 x^{5} + 41132680 x^{4} - 806841960 x^{3} - 3429539640 x^{2} - 6966005580 x - 5768417140$ |
$15$ |
[1,7] |
$-\,2^{12}\cdot 5^{15}\cdot 11^{5}\cdot 17^{13}\cdot 269^{5}$ |
$5$ |
$1456.23474132$ |
$7719.977122424157$ |
|
|
|
$F_5 \times S_3$ (as 15T11) |
$[2]$ |
$2$ |
$7$ |
$4065202893826850000$ |
| 15.1.315...000.1 |
$x^{15} - 45492 x^{10} - 5557504 x^{5} - 171051008$ |
$15$ |
[1,7] |
$-\,2^{23}\cdot 5^{15}\cdot 17^{13}\cdot 659^{5}$ |
$4$ |
$1467.4620127$ |
$7809.428144864783$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
not computed |
$2$ |
$7$ |
|
| 15.3.736...000.1 |
$x^{15} - 28084 x^{10} + 404634 x^{5} + 1336336$ |
$15$ |
[3,6] |
$2^{23}\cdot 5^{15}\cdot 11^{5}\cdot 17^{13}\cdot 71^{5}$ |
$5$ |
$1552.94261399$ |
$8501.626923547672$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
$[2]$ |
$2$ |
$8$ |
$4502375943354790000$ |
| 15.1.129...000.1 |
$x^{15} - 5 x^{14} - 80 x^{13} - 1090 x^{12} + 8465 x^{11} + 84761 x^{10} + 478530 x^{9} - 4953420 x^{8} - 44210160 x^{7} - 103284540 x^{6} + 1164628332 x^{5} + 3897532080 x^{4} + 25100043480 x^{3} - 100028775960 x^{2} - 741518852940 x - 1988382282372$ |
$15$ |
[1,7] |
$-\,2^{12}\cdot 3^{12}\cdot 5^{17}\cdot 17^{13}\cdot 151^{5}$ |
$5$ |
$1612.13616096$ |
$4431.267915020512$ |
|
|
|
$F_5 \times S_3$ (as 15T11) |
not computed |
$2$ |
$7$ |
|
| 15.1.246...000.1 |
$x^{15} - x^{14} + 140 x^{13} + 4914 x^{12} - 8981 x^{11} + 360892 x^{10} + 6289703 x^{9} - 39229080 x^{8} + 262199793 x^{7} - 801056942 x^{6} + 2695275170 x^{5} - 6337886905 x^{4} + 19115443305 x^{3} - 40699003310 x^{2} + 73214742700 x - 67137987400$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 3^{13}\cdot 5^{10}\cdot 7^{13}\cdot 11^{5}\cdot 17^{13}$ |
$6$ |
$1683.10037085$ |
$3491.4988562324206$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$28695458875145230000$ |
| 15.1.211...000.1 |
$x^{15} - 51204 x^{10} - 381514 x^{5} - 1336336$ |
$15$ |
[1,7] |
$-\,2^{23}\cdot 5^{15}\cdot 11^{5}\cdot 17^{13}\cdot 139^{5}$ |
$5$ |
$1942.70813165$ |
$11895.433369403087$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
$[2]$ |
$2$ |
$7$ |
$21065266888558854000$ |
| 15.1.394...000.1 |
$x^{15} - 5 x^{14} + 75 x^{13} - 1915 x^{12} + 8665 x^{11} - 100690 x^{10} + 1372545 x^{9} - 5222130 x^{8} + 49552835 x^{7} - 459005065 x^{6} + 1318058016 x^{5} - 9967253660 x^{4} + 69911054905 x^{3} - 117938734610 x^{2} + 769852880950 x - 3856003647004$ |
$15$ |
[1,7] |
$-\,2^{15}\cdot 5^{15}\cdot 17^{13}\cdot 29^{5}\cdot 181^{5}$ |
$5$ |
$2024.95133049$ |
$16703.320490649996$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
not computed |
$2$ |
$7$ |
|
| 15.1.854...000.1 |
$x^{15} - 4 x^{14} - 141 x^{13} + 512 x^{12} + 22860 x^{11} - 88813 x^{10} - 2966545 x^{9} + 27371390 x^{8} + 310611990 x^{7} - 2381145395 x^{6} + 751514624 x^{5} + 142148452124 x^{4} - 99901877574 x^{3} - 4354137588727 x^{2} + 54956406285 x + 47209803518813$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 5^{10}\cdot 17^{13}\cdot 19^{13}\cdot 29^{5}$ |
$5$ |
$2131.93938135$ |
$5180.783406489834$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
$[30]$ |
$2$ |
$7$ |
$905043347830587800$ |
| 15.1.135...000.1 |
$x^{15} - 5 x^{14} - 265 x^{13} + 3185 x^{12} + 20225 x^{11} - 537930 x^{10} + 1556485 x^{9} + 34688430 x^{8} - 316557805 x^{7} - 86239945 x^{6} + 15053029108 x^{5} - 76590617120 x^{4} - 57941892975 x^{3} + 2068000540470 x^{2} - 8484276884190 x + 12950398677068$ |
$15$ |
[1,7] |
$-\,2^{15}\cdot 5^{15}\cdot 17^{13}\cdot 6719^{5}$ |
$4$ |
$2198.65596755$ |
$18898.043671575324$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
not computed |
$2$ |
$7$ |
|
| 15.1.391...000.1 |
$x^{15} - 1092420 x^{10} - 17198732754 x^{5} - 1945674982734336$ |
$15$ |
[1,7] |
$-\,2^{23}\cdot 3^{13}\cdot 5^{15}\cdot 7^{13}\cdot 17^{13}$ |
$5$ |
$2359.72712618$ |
$4711.659431932581$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
not computed |
$2$ |
$7$ |
|
| 15.1.442...000.1 |
$x^{15} + 55 x^{13} - 50 x^{12} + 1210 x^{11} + 32480 x^{10} + 14310 x^{9} - 1943700 x^{8} + 10510205 x^{7} + 27699000 x^{6} + 382350851 x^{5} + 308971550 x^{4} - 29118259000 x^{3} - 38863560200 x^{2} + 162639924000 x + 1620863925560$ |
$15$ |
[1,7] |
$-\,2^{23}\cdot 5^{27}\cdot 17^{13}\cdot 59^{5}$ |
$4$ |
$2379.02170075$ |
$8467.954879729385$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
not computed |
$2$ |
$7$ |
|
| 15.1.286...000.1 |
$x^{15} - 5 x^{14} - 10 x^{13} - 640 x^{12} + 2885 x^{11} + 5883 x^{10} + 172940 x^{9} - 660350 x^{8} - 5149000 x^{7} - 15850680 x^{6} + 54078912 x^{5} - 556160080 x^{4} + 2785322320 x^{3} - 2576555600 x^{2} - 20298363200 x - 54472664416$ |
$15$ |
[1,7] |
$-\,2^{18}\cdot 5^{15}\cdot 17^{13}\cdot 8161^{5}$ |
$4$ |
$2694.69442346$ |
$19432.703174922673$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
not computed |
$2$ |
$7$ |
|
| 15.1.397...000.1 |
$x^{15} + 70 x^{13} - 330 x^{12} + 1960 x^{11} - 17103 x^{10} + 71000 x^{9} - 484470 x^{8} + 4748060 x^{7} - 4697760 x^{6} + 20421407 x^{5} + 189338340 x^{4} + 274164120 x^{3} - 52726140 x^{2} + 4136209920 x + 2023993359$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 3^{12}\cdot 5^{15}\cdot 17^{13}\cdot 31^{5}\cdot 61^{5}$ |
$6$ |
$2754.05904324$ |
$13550.301738539716$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$468423193114515140000$ |
| 15.1.544...000.1 |
$x^{15} - 185 x^{13} - 690 x^{12} + 13690 x^{11} + 99366 x^{10} - 316090 x^{9} - 6177150 x^{8} - 23169595 x^{7} + 88386720 x^{6} + 645011675 x^{5} - 1243526190 x^{4} - 10677979800 x^{3} - 28664126910 x^{2} - 59661714780 x - 128346588234$ |
$15$ |
[1,7] |
$-\,2^{23}\cdot 3^{12}\cdot 5^{9}\cdot 17^{13}\cdot 29^{5}\cdot 79^{5}$ |
$6$ |
$2812.2618881$ |
$18420.358261284677$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
not computed |
$2$ |
$7$ |
|
