| 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 |
| 10.0.7377114621125376.1 |
$x^{10} - x^{9} + 3 x^{8} + 6 x^{7} - 7 x^{6} + 145 x^{5} + 199 x^{4} + 180 x^{3} + 261 x^{2} - 441 x + 927$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 3^{5}\cdot 17^{9}$ |
$3$ |
$38.6178999568$ |
$38.61789995681219$ |
|
|
? |
$S_5\times C_2$ (as 10T22) |
$[2]$ |
$2$ |
$4$ |
$8722.43472174$ |
| 10.4.21007486557814059.1 |
$x^{10} - 17 x^{8} + 102 x^{6} - 340 x^{4} + 221 x^{2} + 3264$ |
$10$ |
[4,3] |
$-\,3^{11}\cdot 17^{9}$ |
$2$ |
$42.8782852812$ |
$95.96797469409236$ |
|
|
? |
$C_2 \wr S_5$ (as 10T39) |
$[2]$ |
$2$ |
$6$ |
$116513.810451$ |
| 10.0.189067379020326531.1 |
$x^{10} - 3 x^{9} + 10 x^{8} - 8 x^{7} - 23 x^{6} + 130 x^{5} - 92 x^{4} - 128 x^{3} + 640 x^{2} - 768 x + 1024$ |
$10$ |
[0,5] |
$-\,3^{13}\cdot 17^{9}$ |
$2$ |
$53.4148066125$ |
$95.96797469409236$ |
|
|
? |
$S_5\times C_2$ (as 10T22) |
$[2, 2]$ |
$2$ |
$4$ |
$30025.8338455$ |
| 10.2.579...125.1 |
$x^{10} - 5 x^{9} - 10 x^{8} + 70 x^{7} + 45 x^{6} - 214 x^{5} - 10 x^{4} + 185 x^{3} - 295 x^{2} - 260 x - 276$ |
$10$ |
[2,4] |
$5^{11}\cdot 17^{9}$ |
$2$ |
$75.2092112385$ |
$81.51162180784348$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
$[2]$ |
$2$ |
$5$ |
$451276.088882657$ |
| 10.0.281...875.1 |
$x^{10} + 4131$ |
$10$ |
[0,5] |
$-\,3^{5}\cdot 5^{10}\cdot 17^{9}$ |
$3$ |
$110.900795385$ |
$141.1822703785242$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
$[2, 2]$ |
$2$ |
$4$ |
$631213.9329670994$ |
| 10.2.148...000.1 |
$x^{10} - 85 x^{8} + 2890 x^{6} - 136 x^{5} - 45730 x^{4} + 28560 x^{3} + 274805 x^{2} - 1488520 x - 4253961$ |
$10$ |
[2,4] |
$2^{8}\cdot 5^{11}\cdot 17^{9}$ |
$3$ |
$130.946842417$ |
$141.91997655999756$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
$[10]$ |
$2$ |
$5$ |
$1200609.077811834$ |
| 10.2.148...000.2 |
$x^{10} - 3400000$ |
$10$ |
[2,4] |
$2^{8}\cdot 5^{11}\cdot 17^{9}$ |
$3$ |
$130.946842417$ |
$141.91997655999756$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
$[2, 2]$ |
$2$ |
$5$ |
$3082590.5881662136$ |
| 10.2.204...573.1 |
$x^{10} - 68 x^{8} + 1734 x^{6} - 19652 x^{4} + 83521 x^{2} - 142477$ |
$10$ |
[2,4] |
$17^{9}\cdot 29^{7}$ |
$2$ |
$135.232982957$ |
$160.0304135952771$ |
|
|
|
$S_5\times C_2$ (as 10T22) |
$[2]$ |
$2$ |
$5$ |
$3764478.88259$ |
| 10.2.204...573.2 |
$x^{10} - 5 x^{9} + 41 x^{8} - 134 x^{7} + 1728 x^{6} - 4736 x^{5} + 3237 x^{4} + 1273 x^{3} + 22672 x^{2} - 24077 x - 42249$ |
$10$ |
[2,4] |
$17^{9}\cdot 29^{7}$ |
$2$ |
$135.232982957$ |
$160.0304135952771$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
$[2]$ |
$2$ |
$5$ |
$9076149.94961$ |
| 10.2.204...573.3 |
$x^{10} - 5 x^{9} + 41 x^{8} - 134 x^{7} + 1082 x^{6} - 2798 x^{5} + 7844 x^{4} - 11171 x^{3} + 240782 x^{2} - 235642 x + 52883$ |
$10$ |
[2,4] |
$17^{9}\cdot 29^{7}$ |
$2$ |
$135.232982957$ |
$211.86978578607543$ |
|
|
|
$S_5\times C_2$ (as 10T22) |
$[2]$ |
$2$ |
$5$ |
$4857519.38895$ |
| 10.0.227...875.1 |
$x^{10} + 334611$ |
$10$ |
[0,5] |
$-\,3^{9}\cdot 5^{10}\cdot 17^{9}$ |
$3$ |
$172.100908461$ |
$219.0930814022344$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
$[2, 2, 8]$ |
$2$ |
$4$ |
$681943.6369494313$ |
| 10.0.583...000.1 |
$x^{10} + 1338444$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 3^{9}\cdot 5^{10}\cdot 17^{9}$ |
$4$ |
$299.645085609$ |
$381.46321085799747$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
$[10]$ |
$2$ |
$4$ |
$50432164.33809903$ |
| 10.0.583...000.2 |
$x^{10} + 21415104$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 3^{9}\cdot 5^{10}\cdot 17^{9}$ |
$4$ |
$299.645085609$ |
$381.46321085799747$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
$[2, 10, 20]$ |
$2$ |
$4$ |
$792861.7015520956$ |
| 10.2.972...000.1 |
$x^{10} + 85 x^{8} - 510 x^{7} + 4420 x^{6} - 34884 x^{5} + 249050 x^{4} - 1256130 x^{3} + 4024835 x^{2} - 8770980 x + 4351949$ |
$10$ |
[2,4] |
$2^{8}\cdot 3^{8}\cdot 5^{11}\cdot 17^{9}$ |
$4$ |
$315.349418369$ |
$341.7751908862433$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
$[10, 20]$ |
$2$ |
$5$ |
$4480874.268800226$ |
| 10.2.579...000.1 |
$x^{10} - 340$ |
$10$ |
[2,4] |
$2^{8}\cdot 5^{19}\cdot 17^{9}$ |
$3$ |
$474.538042035$ |
$514.3035644015073$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
$[2, 4]$ |
$2$ |
$5$ |
$1062541330.8818183$ |
| 10.0.622...000.1 |
$x^{10} + 275400000$ |
$10$ |
[0,5] |
$-\,2^{14}\cdot 3^{8}\cdot 5^{11}\cdot 17^{9}$ |
$4$ |
$477.980337662$ |
$518.0343188485326$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
$[10, 10, 20]$ |
$2$ |
$4$ |
$1703498.594474949$ |
| 10.0.281...000.1 |
$x^{10} - 5 x^{9} + 75 x^{8} - 270 x^{7} + 2085 x^{6} - 4651 x^{5} + 25405 x^{4} - 130630 x^{3} + 293975 x^{2} + 345095 x + 221353$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 3^{5}\cdot 5^{18}\cdot 17^{9}$ |
$4$ |
$699.736713566$ |
$890.7999040571829$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
$[2, 4]$ |
$2$ |
$4$ |
$7983155772.134673$ |
| 10.0.186...000.1 |
$x^{10} - 5 x^{9} + 245 x^{8} - 950 x^{7} + 23505 x^{6} - 66531 x^{5} + 1103035 x^{4} - 2414750 x^{3} + 25912635 x^{2} - 17205705 x + 225784867$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 5^{18}\cdot 11^{5}\cdot 17^{9}$ |
$4$ |
$1339.89379572$ |
$1705.751951462184$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
$[2, 4, 8]$ |
$2$ |
$4$ |
$8492431511.77289$ |
| 15.1.493...000.1 |
$x^{15} - 1683 x^{10} + 670599 x^{5} + 60886809$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 3^{13}\cdot 5^{15}\cdot 17^{13}$ |
$4$ |
$239.635315232$ |
$347.78858789686126$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
$[2, 2]$ |
$2$ |
$7$ |
$429117173237.07874$ |
| 15.1.394...000.1 |
$x^{15} - 5 x^{14} - 80 x^{13} + 560 x^{12} + 1865 x^{11} - 19090 x^{10} - 300 x^{9} + 822900 x^{8} - 6714900 x^{7} + 18446850 x^{6} - 19886175 x^{5} + 168766875 x^{4} + 77618250 x^{3} + 1814136750 x^{2} + 5527369125 x + 7001073000$ |
$15$ |
[1,7] |
$-\,2^{15}\cdot 3^{13}\cdot 5^{17}\cdot 17^{13}$ |
$4$ |
$374.188256231$ |
$653.841763276535$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
$[2, 2]$ |
$2$ |
$7$ |
$32196354559613.848$ |
| 15.3.101...000.1 |
$x^{15} - 5 x^{14} - 20 x^{13} + 500 x^{12} - 2395 x^{11} + 8033 x^{10} - 134070 x^{9} + 154410 x^{8} - 4697580 x^{7} - 21172140 x^{6} - 190329732 x^{5} - 557303040 x^{4} - 3522839040 x^{3} - 15893213040 x^{2} - 67359711780 x - 164654741844$ |
$15$ |
[3,6] |
$2^{23}\cdot 3^{13}\cdot 5^{17}\cdot 17^{13}$ |
$4$ |
$541.551152255$ |
$862.749379037086$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
$[5, 20]$ |
$2$ |
$8$ |
$22441515369714.94$ |
| 15.1.208...000.1 |
$x^{15} - 3 x^{14} - 39 x^{13} + 361 x^{12} + 1695 x^{11} - 9261 x^{10} - 80705 x^{9} - 35505 x^{8} + 3422115 x^{7} + 6131735 x^{6} - 26463849 x^{5} - 104639793 x^{4} - 43310179 x^{3} + 1185340281 x^{2} + 831027825 x - 5399660311$ |
$15$ |
[1,7] |
$-\,2^{23}\cdot 3^{13}\cdot 5^{10}\cdot 11^{5}\cdot 17^{13}$ |
$5$ |
$568.308795158$ |
$1424.6034641987558$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$11417048224840246$ |
| 15.1.309...000.1 |
$x^{15} - 5 x^{14} - 20 x^{13} + 160 x^{12} - 15 x^{11} - 841 x^{10} - 110 x^{9} + 45610 x^{8} - 364280 x^{7} + 947920 x^{6} - 983256 x^{5} + 2512400 x^{4} + 9528400 x^{3} + 15378800 x^{2} + 33366800 x + 55956560$ |
$15$ |
[1,7] |
$-\,2^{23}\cdot 5^{28}\cdot 17^{13}$ |
$3$ |
$680.318686442$ |
$1102.4338240267218$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
$[2, 4]$ |
$2$ |
$7$ |
$1187919586303695.2$ |
| 15.1.309...000.2 |
$x^{15} - 83300 x^{10} + 68850000 x^{5} - 83521000000$ |
$15$ |
[1,7] |
$-\,2^{23}\cdot 5^{28}\cdot 17^{13}$ |
$3$ |
$680.318686442$ |
$1102.4338240267218$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
$[5]$ |
$2$ |
$7$ |
$1303885971633294.8$ |
| 15.1.194...000.1 |
$x^{15} - 5 x^{14} - 13 x^{13} + 1116 x^{12} + 14680 x^{11} + 2720 x^{10} - 279742 x^{9} - 161067 x^{8} + 6808887 x^{7} - 879841 x^{6} - 228923368 x^{5} - 393924479 x^{4} + 1108746258 x^{3} - 20723335 x^{2} - 2298113012 x - 1737466508$ |
$15$ |
[1,7] |
$-\,2^{15}\cdot 3^{13}\cdot 5^{10}\cdot 17^{13}\cdot 131^{5}$ |
$5$ |
$896.729071772$ |
$3725.8151393062167$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
$[2]$ |
$2$ |
$7$ |
$96449082056539660$ |
| 15.1.312...000.1 |
$x^{15} - 26010 x^{10} + 156793482 x^{5} + 177266306736$ |
$15$ |
[1,7] |
$-\,2^{18}\cdot 3^{13}\cdot 5^{15}\cdot 17^{13}\cdot 19^{5}$ |
$5$ |
$925.446574132$ |
$2520.272251849716$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
$[5]$ |
$2$ |
$7$ |
$18852361527229590$ |
| 15.3.171...000.1 |
$x^{15} - 2 x^{14} + 140 x^{13} + 759 x^{12} + 10576 x^{11} + 142130 x^{10} + 693152 x^{9} + 5698752 x^{8} + 27414708 x^{7} - 77215042 x^{6} - 421804732 x^{5} + 4548949174 x^{4} + 19062101691 x^{3} + 21538394450 x^{2} - 102684498026 x - 363965917997$ |
$15$ |
[3,6] |
$2^{12}\cdot 3^{13}\cdot 5^{9}\cdot 11^{5}\cdot 17^{13}\cdot 61^{5}$ |
$6$ |
$1208.76253782$ |
$5190.699869645753$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$8$ |
$2182556598540018200$ |
| 15.1.864...000.1 |
$x^{15} - 20043 x^{10} + 126743211 x^{5} - 14795494587$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 3^{13}\cdot 5^{15}\cdot 17^{13}\cdot 281^{5}$ |
$5$ |
$1569.59013583$ |
$5829.999093124567$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
$[2, 2]$ |
$2$ |
$7$ |
$628293655540722800$ |
| 15.3.111...000.1 |
$x^{15} - 107151 x^{10} + 1352571 x^{5} + 6765201$ |
$15$ |
[3,6] |
$2^{10}\cdot 3^{13}\cdot 5^{9}\cdot 17^{13}\cdot 2039^{5}$ |
$5$ |
$1596.25361664$ |
$8249.657880495324$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$8$ |
$4760557705255354000$ |
| 15.3.161...000.1 |
$x^{15} - 485 x^{13} - 430 x^{12} + 94090 x^{11} + 165412 x^{10} - 9052770 x^{9} - 24967800 x^{8} + 417439805 x^{7} + 1473863320 x^{6} - 6558553489 x^{5} - 32964585670 x^{4} - 74491570040 x^{3} - 260886120540 x^{2} + 177053109880 x + 3907689622700$ |
$15$ |
[3,6] |
$2^{23}\cdot 5^{10}\cdot 7^{13}\cdot 17^{13}\cdot 29^{5}$ |
$5$ |
$1636.18608706$ |
$4958.790485158367$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$8$ |
$12789314495761138000$ |
| 15.1.996...000.1 |
$x^{15} - 5 x^{14} + 265 x^{13} - 775 x^{12} + 26525 x^{11} - 25348 x^{10} + 1273215 x^{9} + 1340790 x^{8} + 30989895 x^{7} + 102024735 x^{6} + 410760222 x^{5} + 1757235600 x^{4} + 3038345145 x^{3} + 5705293500 x^{2} - 2137657860 x + 21393022122$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 3^{13}\cdot 5^{9}\cdot 17^{13}\cdot 29^{5}\cdot 109^{5}$ |
$6$ |
$1847.44272982$ |
$10271.634881354992$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
not computed |
$2$ |
$7$ |
|
| 15.1.663...000.1 |
$x^{15} - 7 x^{14} - 553 x^{13} + 7203 x^{12} + 104895 x^{11} - 2122533 x^{10} - 1737519 x^{9} + 253518321 x^{8} - 1317738037 x^{7} - 7505284717 x^{6} + 95552276561 x^{5} - 382397644195 x^{4} + 786508479981 x^{3} - 151406757327 x^{2} - 2115098139889 x + 2953486829335$ |
$15$ |
[1,7] |
$-\,2^{23}\cdot 5^{10}\cdot 7^{13}\cdot 17^{13}\cdot 61^{5}$ |
$5$ |
$2096.41202004$ |
$7191.867503903823$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$56804415821969146000$ |
| 15.3.722...000.1 |
$x^{15} - 330684 x^{10} + 176477952 x^{5} + 13855131648$ |
$15$ |
[3,6] |
$2^{23}\cdot 3^{13}\cdot 5^{17}\cdot 17^{13}\cdot 59^{5}$ |
$5$ |
$2108.25669474$ |
$6626.903724266995$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
not computed |
$2$ |
$8$ |
|
| 15.1.128...000.1 |
$x^{15} - 227052 x^{10} + 18778666752 x^{5} - 30301172914176$ |
$15$ |
[1,7] |
$-\,2^{23}\cdot 3^{13}\cdot 5^{9}\cdot 11^{5}\cdot 17^{13}\cdot 79^{5}$ |
$6$ |
$2190.42678124$ |
$12662.15255737983$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
$[32]$ |
$2$ |
$7$ |
$9423903746284659000$ |
| 15.3.582...000.1 |
$x^{15} - 5 x^{14} - 250 x^{13} + 1800 x^{12} + 22405 x^{11} - 234397 x^{10} - 614740 x^{9} + 14412810 x^{8} - 31833480 x^{7} - 311807560 x^{6} + 1766354144 x^{5} + 503250880 x^{4} - 30271739760 x^{3} + 103171928240 x^{2} - 121052524160 x + 27643787296$ |
$15$ |
[3,6] |
$2^{18}\cdot 3^{13}\cdot 5^{15}\cdot 11^{5}\cdot 17^{13}\cdot 31^{5}$ |
$6$ |
$2422.98994234$ |
$10676.965684161003$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
$[5]$ |
$2$ |
$8$ |
$126298196879869970000$ |
| 15.1.968...000.1 |
$x^{15} - 2 x^{14} - 526 x^{13} + 1591 x^{12} + 133648 x^{11} - 566818 x^{10} - 19769436 x^{9} + 112700204 x^{8} + 1785780532 x^{7} - 10515827090 x^{6} - 86435728080 x^{5} + 365609310930 x^{4} + 1440989279135 x^{3} - 414130380278 x^{2} + 29232678668632 x - 202615568182757$ |
$15$ |
[1,7] |
$-\,2^{12}\cdot 5^{9}\cdot 7^{13}\cdot 17^{13}\cdot 661^{5}$ |
$5$ |
$2506.57393244$ |
$11044.460206990774$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
not computed |
$2$ |
$7$ |
|
| 15.1.127...000.1 |
$x^{15} - 930580 x^{10} + 85833814402 x^{5} - 2556206404808192$ |
$15$ |
[1,7] |
$-\,2^{23}\cdot 5^{15}\cdot 17^{13}\cdot 23^{13}$ |
$4$ |
$2553.30397157$ |
$5113.656813526573$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
not computed |
$2$ |
$7$ |
|
| 15.3.394...000.1 |
$x^{15} - 5 x^{14} - 95 x^{13} + 495 x^{12} + 3445 x^{11} - 9802 x^{10} - 87645 x^{9} + 1452070 x^{8} - 5391165 x^{7} + 35680615 x^{6} - 43958230 x^{5} - 239776330 x^{4} + 4448951765 x^{3} + 1924388950 x^{2} + 45754326660 x + 14995253852$ |
$15$ |
[3,6] |
$2^{10}\cdot 3^{12}\cdot 5^{15}\cdot 7^{13}\cdot 17^{13}\cdot 19^{5}$ |
$6$ |
$3209.31420767$ |
$7826.511690156871$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
not computed |
$2$ |
$8$ |
|
| 15.1.428...000.1 |
$x^{15} - 404600 x^{10} + 33067634320 x^{5} + 10597358293760000$ |
$15$ |
[1,7] |
$-\,2^{23}\cdot 5^{28}\cdot 7^{12}\cdot 17^{13}$ |
$4$ |
$3226.93956566$ |
$5229.148333236325$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
not computed |
$2$ |
$7$ |
|
| 15.1.513...000.1 |
$x^{15} - 132175 x^{10} + 5000390625 x^{5} - 4078173828125$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 5^{28}\cdot 11^{5}\cdot 17^{13}\cdot 61^{5}$ |
$5$ |
$3266.33389119$ |
$12146.284842814053$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
$[2]$ |
$2$ |
$7$ |
$621200931426932900000$ |
| 15.3.147...000.1 |
$x^{15} - 5 x^{14} - 240 x^{13} + 1230 x^{12} + 22545 x^{11} - 104037 x^{10} - 1064250 x^{9} + 10103280 x^{8} - 7197600 x^{7} + 188566600 x^{6} - 667314224 x^{5} - 4525532760 x^{4} + 27211841280 x^{3} + 173876004000 x^{2} + 751329749520 x - 1576132394544$ |
$15$ |
[3,6] |
$2^{12}\cdot 3^{13}\cdot 5^{15}\cdot 17^{13}\cdot 2371^{5}$ |
$5$ |
$3504.81693091$ |
$18574.555814756877$ |
|
|
|
$F_5 \times S_3$ (as 15T11) |
not computed |
$2$ |
$8$ |
|
| 15.1.153...000.1 |
$x^{15} + 195 x^{13} - 1960 x^{12} + 15210 x^{11} - 272712 x^{10} + 2129830 x^{9} - 24331320 x^{8} + 579998565 x^{7} - 732317120 x^{6} + 4939780167 x^{5} + 183538886280 x^{4} + 245922147200 x^{3} - 235339870680 x^{2} + 17684451781440 x + 15224203473208$ |
$15$ |
[1,7] |
$-\,2^{12}\cdot 3^{13}\cdot 5^{15}\cdot 17^{13}\cdot 2389^{5}$ |
$5$ |
$3513.66379283$ |
$18644.929041908534$ |
|
|
|
$F_5 \times S_3$ (as 15T11) |
not computed |
$2$ |
$7$ |
|
| 15.1.936...000.1 |
$x^{15} - 590325 x^{10} - 2742578125 x^{5} - 4078173828125$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 5^{28}\cdot 11^{5}\cdot 17^{13}\cdot 109^{5}$ |
$5$ |
$3963.62718216$ |
$16236.47667688578$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
$[2]$ |
$2$ |
$7$ |
$2865912671394687000000$ |
| 15.1.102...000.1 |
$x^{15} + 120 x^{13} - 2790 x^{12} + 5760 x^{11} - 267381 x^{10} + 3251880 x^{9} - 9697320 x^{8} + 233524620 x^{7} - 1889924400 x^{6} + 5357668131 x^{5} - 77869014660 x^{4} + 528752934000 x^{3} - 966587004900 x^{2} + 12038476598280 x - 53956738834119$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 3^{13}\cdot 5^{15}\cdot 11^{5}\cdot 17^{13}\cdot 419^{5}$ |
$6$ |
$3987.98078185$ |
$23611.233782350053$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
not computed |
$2$ |
$7$ |
|
| 15.1.234...000.1 |
$x^{15} - 426564 x^{10} + 1353114091520 x^{5} - 57919389044393984$ |
$15$ |
[1,7] |
$-\,2^{23}\cdot 5^{15}\cdot 17^{13}\cdot 41^{13}$ |
$4$ |
$4213.90174859$ |
$8603.63538448827$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
not computed |
$2$ |
$7$ |
|
| 15.1.245...000.1 |
$x^{15} - 152439 x^{10} + 24721395291 x^{5} + 32357746661769$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 3^{13}\cdot 5^{15}\cdot 11^{5}\cdot 17^{13}\cdot 499^{5}$ |
$6$ |
$4227.15881187$ |
$25766.886392646007$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
not computed |
$2$ |
$7$ |
|
| 15.1.514...000.1 |
$x^{15} - 315 x^{13} - 2120 x^{12} + 39690 x^{11} + 501192 x^{10} - 702710 x^{9} - 60895800 x^{8} - 681382395 x^{7} + 483698240 x^{6} + 16363657665 x^{5} - 177163245720 x^{4} - 505790435200 x^{3} - 1693665524520 x^{2} - 12119988496320 x - 59616657115912$ |
$15$ |
[1,7] |
$-\,2^{18}\cdot 3^{13}\cdot 5^{15}\cdot 17^{13}\cdot 2099^{5}$ |
$5$ |
$4440.55886236$ |
$26489.690047071243$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
not computed |
$2$ |
$7$ |
|
| 15.1.102...000.1 |
$x^{15} - 181050 x^{10} + 13772165120 x^{5} + 13684080640000$ |
$15$ |
[1,7] |
$-\,2^{23}\cdot 5^{28}\cdot 11^{5}\cdot 17^{13}\cdot 29^{5}$ |
$5$ |
$4648.46209915$ |
$19690.097696513843$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
not computed |
$2$ |
$7$ |
|
| 15.1.418...000.1 |
$x^{15} - 342363 x^{10} + 57806953799 x^{5} - 165148306902103$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 5^{15}\cdot 7^{13}\cdot 17^{13}\cdot 1069^{5}$ |
$5$ |
$5106.49921783$ |
$24377.1700351247$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
not computed |
$2$ |
$7$ |
|
| 15.3.452...000.1 |
$x^{15} - 1478150 x^{10} - 23435860000 x^{5} + 334084000000$ |
$15$ |
[3,6] |
$2^{18}\cdot 5^{28}\cdot 17^{13}\cdot 859^{5}$ |
$4$ |
$5132.94711069$ |
$22847.259451974514$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
not computed |
$2$ |
$8$ |
|
