| 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 |
| 15.1.115...192.1 |
$x^{15} - 7 x^{14} + 29 x^{13} - 83 x^{12} + 185 x^{11} - 323 x^{10} + 445 x^{9} - 463 x^{8} + 341 x^{7} - 143 x^{6} + 3 x^{5} + 35 x^{4} - 15 x^{3} + x^{2} + 3 x - 1$ |
$15$ |
[1,7] |
$-\,2^{23}\cdot 13^{10}$ |
$2$ |
$16.0032514171$ |
$25.551388539968485$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$2478.48165826$ |
| 15.1.267...712.1 |
$x^{15} - 6 x^{13} - 6 x^{12} + 8 x^{9} + 24 x^{8} + 22 x^{7} - 16 x^{5} - 28 x^{4} - 42 x^{3} - 40 x^{2} - 20 x - 4$ |
$15$ |
[1,7] |
$-\,2^{37}\cdot 11^{7}$ |
$2$ |
$16.9248141739$ |
$25.04381555535815$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$3756.48041139$ |
| 15.1.640...000.1 |
$x^{15} - 5 x^{14} + 15 x^{13} - 35 x^{12} + 65 x^{11} - 93 x^{10} + 125 x^{9} - 125 x^{8} + 115 x^{7} - 55 x^{6} + 43 x^{5} + 5 x^{4} + 15 x^{3} + 5 x^{2} + 5 x - 1$ |
$15$ |
[1,7] |
$-\,2^{23}\cdot 5^{17}$ |
$2$ |
$17.9368151132$ |
$25.065218619440312$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$6944.116640269703$ |
| 15.3.189...000.1 |
$x^{15} - x^{14} + 3 x^{13} - 14 x^{12} + 10 x^{11} - 36 x^{10} + 57 x^{9} - 44 x^{8} + 60 x^{7} - 77 x^{6} - 63 x^{5} + 6 x^{4} - 66 x^{3} - 67 x^{2} - 18 x - 1$ |
$15$ |
[3,6] |
$2^{10}\cdot 5^{9}\cdot 37^{7}$ |
$3$ |
$22.4851680425$ |
$32.28605847922135$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$8$ |
$37555.1383714$ |
| 15.1.968...000.1 |
$x^{15} - 2 x^{14} - x^{13} - 6 x^{12} + 28 x^{11} - 21 x^{10} - 21 x^{9} + 32 x^{8} + 62 x^{7} - 151 x^{6} + 60 x^{5} + 56 x^{4} - 42 x^{3} - 7 x^{2} + 21 x + 7$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 5^{10}\cdot 7^{13}$ |
$3$ |
$25.0659961145$ |
$30.584571695372905$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$78735.78106444301$ |
| 15.1.124...000.1 |
$x^{15} - 33 x^{10} + 363 x^{5} - 81$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 3^{13}\cdot 5^{17}$ |
$3$ |
$25.4892910375$ |
$28.65565224922583$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$105523.50430467584$ |
| 15.3.125...000.1 |
$x^{15} - 3 x^{14} - x^{13} + 25 x^{12} - 29 x^{11} - 77 x^{10} + 173 x^{9} + 101 x^{8} - 505 x^{7} - 61 x^{6} + 915 x^{5} - 67 x^{4} - 719 x^{3} + 65 x^{2} - 181 x + 221$ |
$15$ |
[3,6] |
$2^{14}\cdot 5^{13}\cdot 13^{7}$ |
$3$ |
$25.5020776704$ |
$30.10616998536838$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$8$ |
$121199.244619$ |
| 15.5.205...000.1 |
$x^{15} - 10 x^{13} + 10 x^{11} - 74 x^{10} - 90 x^{9} + 50 x^{8} - 80 x^{7} - 160 x^{6} + 124 x^{5} + 140 x^{4} - 60 x^{3} - 60 x^{2} + 4$ |
$15$ |
[5,5] |
$-\,2^{14}\cdot 5^{16}\cdot 7^{7}$ |
$3$ |
$26.3577551473$ |
$32.16072676113696$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$9$ |
$204986.499805$ |
| 15.5.257...000.1 |
$x^{15} - 5 x^{13} - 5 x^{12} - 20 x^{11} - 10 x^{10} + 30 x^{9} + 70 x^{8} + 95 x^{7} + 110 x^{6} + 85 x^{5} + 185 x^{4} + 45 x^{3} + 50 x^{2} - 25 x - 5$ |
$15$ |
[5,5] |
$-\,2^{12}\cdot 5^{17}\cdot 7^{7}$ |
$3$ |
$26.7527903869$ |
$30.937664227835434$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$9$ |
$184544.05094$ |
| 15.1.717...000.1 |
$x^{15} - 2$ |
$15$ |
[1,7] |
$-\,2^{14}\cdot 3^{15}\cdot 5^{15}$ |
$3$ |
$28.6452481173$ |
$43.79437150186219$ |
|
|
✓ |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$140588.605127$ |
| 15.1.893...000.1 |
$x^{15} - 20 x^{10} + 208 x^{5} + 8$ |
$15$ |
[1,7] |
$-\,2^{12}\cdot 5^{15}\cdot 59^{5}$ |
$3$ |
$33.8905022275$ |
$85.12664303309019$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$407923.64457384974$ |
| 15.1.164...000.1 |
$x^{15} - 10 x^{10} + 22 x^{5} + 16$ |
$15$ |
[1,7] |
$-\,2^{18}\cdot 5^{15}\cdot 29^{5}$ |
$3$ |
$35.291652837$ |
$90.45998218179511$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$988554.4739268218$ |
| 15.1.633...000.1 |
$x^{15} - 12 x^{10} + 122 x^{5} - 16$ |
$15$ |
[1,7] |
$-\,2^{23}\cdot 5^{15}\cdot 19^{5}$ |
$3$ |
$38.6189561933$ |
$103.54980782222401$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$1908125.6293975231$ |
| 15.1.209...375.1 |
$x^{15} - 3$ |
$15$ |
[1,7] |
$-\,3^{29}\cdot 5^{15}$ |
$2$ |
$41.8219646044$ |
$55.22732047661838$ |
|
|
✓ |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$4226098.07113$ |
| 15.15.115...424.1 |
$x^{15} - 7 x^{14} - 17 x^{13} + 228 x^{12} - 217 x^{11} - 2256 x^{10} + 5392 x^{9} + 5898 x^{8} - 30661 x^{7} + 17242 x^{6} + 46052 x^{5} - 67465 x^{4} + 22925 x^{3} + 4610 x^{2} - 1755 x - 169$ |
$15$ |
[15,0] |
$2^{10}\cdot 17^{9}\cdot 37^{7}$ |
$3$ |
$46.8579719257$ |
$80.83961133855618$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$14$ |
$57356244.8884$ |
| 15.1.190...375.1 |
$x^{15} - 7$ |
$15$ |
[1,7] |
$-\,3^{15}\cdot 5^{9}\cdot 7^{14}$ |
$3$ |
$48.4463907827$ |
$74.06740647434216$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
$[3]$ |
$2$ |
$7$ |
$6961795.7233$ |
| 15.3.246...000.1 |
$x^{15} - 58 x^{10} - 1006 x^{5} + 512$ |
$15$ |
[3,6] |
$2^{18}\cdot 5^{15}\cdot 79^{5}$ |
$3$ |
$49.2888134008$ |
$149.3038630040607$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$8$ |
$14525638.7930539$ |
| 15.1.411...000.1 |
$x^{15} - 60 x^{10} + 432 x^{5} - 864$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 3^{12}\cdot 5^{15}\cdot 19^{5}$ |
$4$ |
$51.0040745905$ |
$106.06594678983211$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$13432144.456314364$ |
| 15.1.107...000.1 |
$x^{15} - 11 x^{10} + 2541 x^{5} + 1331$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 5^{15}\cdot 11^{13}$ |
$3$ |
$63.4157298715$ |
$87.44914856702161$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
$[5]$ |
$2$ |
$7$ |
$11300523.686012056$ |
| 15.1.185...000.1 |
$x^{15} - 80 x^{10} + 1276 x^{5} - 262144$ |
$15$ |
[1,7] |
$-\,2^{12}\cdot 5^{15}\cdot 431^{5}$ |
$3$ |
$65.7586806157$ |
$230.07961214673188$ |
|
|
|
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$171575516.1551282$ |
| 15.1.267...375.1 |
$x^{15} - 5$ |
$15$ |
[1,7] |
$-\,3^{15}\cdot 5^{29}$ |
$2$ |
$67.3694905321$ |
$87.68634591538094$ |
|
|
✓ |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$162557810.951$ |
| 15.1.282...000.1 |
$x^{15} - 4 x^{14} + 16 x^{13} - 108 x^{12} + 278 x^{11} - 672 x^{10} + 2556 x^{9} - 3184 x^{8} + 5212 x^{7} - 4832 x^{6} + 4940 x^{5} - 2112 x^{4} + 2728 x^{3} + 176 x^{2} + 704 x + 176$ |
$15$ |
[1,7] |
$-\,2^{23}\cdot 5^{10}\cdot 11^{13}$ |
$3$ |
$67.6238132642$ |
$108.00352040202361$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
$[5]$ |
$2$ |
$7$ |
$45886304.85748534$ |
| 15.1.397...000.1 |
$x^{15} - 77 x^{10} + 3927 x^{5} - 2401$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 5^{9}\cdot 7^{13}\cdot 29^{5}$ |
$4$ |
$69.1756051458$ |
$164.70295913520425$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$148876893.58764613$ |
| 15.15.407...000.1 |
$x^{15} - 30 x^{13} + 300 x^{11} - 24 x^{10} - 1300 x^{9} + 190 x^{8} + 2500 x^{7} - 380 x^{6} - 2046 x^{5} + 300 x^{4} + 570 x^{3} - 100 x^{2} - 20 x + 2$ |
$15$ |
[15,0] |
$2^{14}\cdot 5^{15}\cdot 7^{6}\cdot 37^{5}$ |
$4$ |
$69.295408237$ |
$195.62606368980312$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$14$ |
$1940881408.84$ |
| 15.1.496...000.1 |
$x^{15} - 5 x^{13} - 10 x^{12} + 10 x^{11} - 38 x^{10} + 30 x^{9} - 450 x^{8} - 4795 x^{7} - 560 x^{6} + 1367 x^{5} - 13630 x^{4} + 12520 x^{3} - 37650 x^{2} + 3820 x - 24862$ |
$15$ |
[1,7] |
$-\,2^{23}\cdot 5^{9}\cdot 13^{13}$ |
$3$ |
$70.2067551857$ |
$125.52594861911673$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$228104823.0554214$ |
| 15.1.577...000.1 |
$x^{15} - 147 x^{10} - 183 x^{5} - 81$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 3^{13}\cdot 5^{15}\cdot 41^{5}$ |
$4$ |
$70.9179828758$ |
$173.90145928201278$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$317720741.7747334$ |
| 15.1.200...000.1 |
$x^{15} - 92 x^{10} + 3314 x^{5} - 50000$ |
$15$ |
[1,7] |
$-\,2^{23}\cdot 5^{15}\cdot 151^{5}$ |
$3$ |
$77.0681581858$ |
$291.91806418050254$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$472801099.5191203$ |
| 15.1.343...000.1 |
$x^{15} - 6$ |
$15$ |
[1,7] |
$-\,2^{14}\cdot 3^{29}\cdot 5^{15}$ |
$3$ |
$79.8667035232$ |
$105.46668652713777$ |
|
|
✓ |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$519857804.557$ |
| 15.1.423...000.1 |
$x^{15} - x^{14} - 32 x^{13} - 2 x^{12} + 419 x^{11} + 403 x^{10} - 948 x^{9} + 858 x^{8} - 4068 x^{7} - 34920 x^{6} + 17076 x^{5} + 151848 x^{4} - 33552 x^{3} - 257256 x^{2} + 198540 x - 43596$ |
$15$ |
[1,7] |
$-\,2^{18}\cdot 3^{13}\cdot 5^{9}\cdot 139^{5}$ |
$4$ |
$80.9955859456$ |
$279.63145764087824$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$1376239489.2201202$ |
| 15.1.513...000.1 |
$x^{15} - 366 x^{10} + 61152 x^{5} - 5038848$ |
$15$ |
[1,7] |
$-\,2^{18}\cdot 3^{13}\cdot 5^{17}\cdot 11^{5}$ |
$4$ |
$82.0423293131$ |
$158.0017768260287$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$2826426218.053609$ |
| 15.1.144...000.1 |
$x^{15} - 5 x^{14} + 5 x^{13} - 120 x^{12} + 250 x^{11} + 650 x^{10} + 4235 x^{9} - 2970 x^{8} - 11100 x^{7} - 38665 x^{6} + 40325 x^{5} + 89950 x^{4} + 145530 x^{3} - 162925 x^{2} - 120050 x - 84035$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 3^{13}\cdot 5^{17}\cdot 41^{5}$ |
$4$ |
$87.8926128008$ |
$183.48570145646502$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
$[3]$ |
$2$ |
$7$ |
$545829701.3427438$ |
| 15.1.184...000.1 |
$x^{15} - 30 x^{10} + 183 x^{5} + 2592$ |
$15$ |
[1,7] |
$-\,2^{15}\cdot 3^{13}\cdot 5^{15}\cdot 41^{5}$ |
$4$ |
$89.3510594414$ |
$309.8571743141592$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
$[2]$ |
$2$ |
$7$ |
$1274540711.8409042$ |
| 15.3.236...000.1 |
$x^{15} - 637 x^{10} + 23673 x^{5} + 28561$ |
$15$ |
[3,6] |
$2^{10}\cdot 5^{17}\cdot 13^{13}$ |
$3$ |
$90.8385599274$ |
$107.23836550698338$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
$[4]$ |
$2$ |
$8$ |
$326459033.9811394$ |
| 15.1.302...000.1 |
$x^{15} - 117 x^{10} + 65 x^{5} - 28561$ |
$15$ |
[1,7] |
$-\,2^{15}\cdot 5^{15}\cdot 13^{13}$ |
$3$ |
$92.3458901608$ |
$181.09627426171343$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
$[2, 4]$ |
$2$ |
$7$ |
$173136296.88494763$ |
| 15.1.547...000.1 |
$x^{15} - 25 x^{13} - 50 x^{12} + 250 x^{11} + 964 x^{10} - 250 x^{9} - 8400 x^{8} - 22675 x^{7} + 9000 x^{6} + 63307 x^{5} - 78250 x^{4} - 120600 x^{3} - 150700 x^{2} - 319000 x - 250228$ |
$15$ |
[1,7] |
$-\,2^{23}\cdot 3^{12}\cdot 5^{17}\cdot 11^{5}$ |
$4$ |
$96.0667791852$ |
$200.20035500098766$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$7825223971.25853$ |
| 15.1.582...000.1 |
$x^{15} - 5 x^{14} + 20 x^{13} - 40 x^{12} + 65 x^{11} + 18 x^{10} - 160 x^{9} + 40 x^{8} - 2380 x^{7} + 6930 x^{6} - 6267 x^{5} + 15095 x^{4} - 24230 x^{3} + 33910 x^{2} - 15635 x + 2216$ |
$15$ |
[1,7] |
$-\,2^{15}\cdot 5^{17}\cdot 13^{12}$ |
$3$ |
$96.4607606847$ |
$147.8475664421976$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
$[4]$ |
$2$ |
$7$ |
$627205507.271632$ |
| 15.1.669...000.1 |
$x^{15} - x^{14} + 38 x^{13} - 46 x^{12} + 723 x^{11} - 1429 x^{10} + 7038 x^{9} - 17686 x^{8} + 61012 x^{7} - 68704 x^{6} + 255224 x^{5} - 170052 x^{4} + 243720 x^{3} + 1864080 x^{2} + 992796 x + 158700$ |
$15$ |
[1,7] |
$-\,2^{23}\cdot 3^{12}\cdot 5^{10}\cdot 109^{5}$ |
$4$ |
$97.364020546$ |
$313.7579564847924$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$5153399811.56399$ |
| 15.1.750...000.1 |
$x^{15} - 3 x^{14} + 3 x^{13} - 37 x^{12} + 33 x^{11} - 915 x^{10} + 2935 x^{9} - 2409 x^{8} + 15195 x^{7} + 81103 x^{6} + 72609 x^{5} + 486393 x^{4} + 747683 x^{3} + 1597287 x^{2} + 1440165 x + 4559605$ |
$15$ |
[1,7] |
$-\,2^{18}\cdot 3^{13}\cdot 5^{10}\cdot 179^{5}$ |
$4$ |
$98.1006975441$ |
$317.3256234036415$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
$[5]$ |
$2$ |
$7$ |
$1622981675.850239$ |
| 15.1.789...000.1 |
$x^{15} - 5 x^{14} - 15 x^{13} + 15 x^{12} + 525 x^{11} - 1173 x^{10} - 1665 x^{9} + 2265 x^{8} + 55335 x^{7} - 96635 x^{6} + 356773 x^{5} + 792135 x^{4} + 666495 x^{3} + 3088125 x^{2} + 6149115 x + 6561729$ |
$15$ |
[1,7] |
$-\,2^{18}\cdot 3^{13}\cdot 5^{17}\cdot 19^{5}$ |
$4$ |
$98.4369813977$ |
$207.65501725949687$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$5411274997.421242$ |
| 15.3.100...000.1 |
$x^{15} - 3984 x^{10} - 576882 x^{5} - 104976$ |
$15$ |
[3,6] |
$2^{23}\cdot 3^{13}\cdot 5^{9}\cdot 131^{5}$ |
$4$ |
$100.051479537$ |
$383.909865122356$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$8$ |
$6739712757.452524$ |
| 15.1.109...000.1 |
$x^{15} - 75 x^{10} + 1505 x^{5} - 625$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 5^{28}\cdot 31^{5}$ |
$3$ |
$100.589172744$ |
$203.872673987326$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$3069327922.917731$ |
| 15.1.305...000.1 |
$x^{15} - 20 x^{13} - 30 x^{12} + 160 x^{11} + 471 x^{10} - 280 x^{9} - 3060 x^{8} - 4660 x^{7} + 4560 x^{6} + 15203 x^{5} - 3060 x^{4} - 21600 x^{3} - 27060 x^{2} - 28440 x - 14451$ |
$15$ |
[1,7] |
$-\,2^{10}\cdot 3^{12}\cdot 5^{15}\cdot 179^{5}$ |
$4$ |
$107.722068001$ |
$325.5559881711517$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$5768507442.875538$ |
| 15.1.837...000.1 |
$x^{15} - 288 x^{10} + 45630 x^{5} - 34992$ |
$15$ |
[1,7] |
$-\,2^{23}\cdot 3^{13}\cdot 5^{15}\cdot 29^{5}$ |
$4$ |
$115.218022669$ |
$343.85918139614864$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$18483995010.42547$ |
| 15.3.898...000.1 |
$x^{15} - 5 x^{14} + 85 x^{13} - 385 x^{12} + 2195 x^{11} - 6493 x^{10} + 16875 x^{9} - 30705 x^{8} + 22635 x^{7} - 101775 x^{6} + 243723 x^{5} + 262305 x^{4} - 411255 x^{3} - 419175 x^{2} - 901395 x - 231831$ |
$15$ |
[3,6] |
$2^{12}\cdot 3^{13}\cdot 5^{17}\cdot 71^{5}$ |
$4$ |
$115.766047315$ |
$264.8358691709697$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$8$ |
$21642035469.69577$ |
| 15.1.912...000.1 |
$x^{15} - 5 x^{14} - 30 x^{13} + 60 x^{12} + 765 x^{11} + 561 x^{10} - 8220 x^{9} - 26970 x^{8} + 4440 x^{7} + 238660 x^{6} + 420532 x^{5} - 403920 x^{4} - 1831320 x^{3} - 3816360 x^{2} - 4945740 x - 2381172$ |
$15$ |
[1,7] |
$-\,2^{18}\cdot 3^{13}\cdot 5^{17}\cdot 31^{5}$ |
$4$ |
$115.885113844$ |
$265.24455369023434$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$24782775558.00696$ |
| 15.1.116...000.1 |
$x^{15} - 84 x^{10} + 2526 x^{5} - 1296$ |
$15$ |
[1,7] |
$-\,2^{23}\cdot 3^{13}\cdot 5^{15}\cdot 31^{5}$ |
$4$ |
$117.808054232$ |
$355.51871940352333$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$24911338077.377384$ |
| 15.3.153...000.1 |
$x^{15} - 5 x^{14} + 95 x^{13} - 270 x^{12} + 2665 x^{11} - 4825 x^{10} + 34115 x^{9} - 44010 x^{8} + 177525 x^{7} - 261205 x^{6} + 418175 x^{5} - 439550 x^{4} + 133680 x^{3} + 14000 x^{2} - 215600 x + 54880$ |
$15$ |
[3,6] |
$2^{12}\cdot 3^{13}\cdot 5^{17}\cdot 79^{5}$ |
$4$ |
$119.960274988$ |
$279.3580410074996$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$8$ |
$22787447885.74553$ |
| 15.1.299...000.1 |
$x^{15} - 5 x^{14} - 15 x^{13} + 140 x^{12} - 95 x^{11} - 1273 x^{10} + 3015 x^{9} + 6270 x^{8} - 49345 x^{7} + 84935 x^{6} - 32349 x^{5} + 143020 x^{4} - 328340 x^{3} + 382390 x^{2} - 154970 x + 364550$ |
$15$ |
[1,7] |
$-\,2^{12}\cdot 5^{10}\cdot 13^{13}\cdot 19^{5}$ |
$4$ |
$125.450608365$ |
$255.25679817076113$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$17265952420.66845$ |
| 15.1.503...000.1 |
$x^{15} - 100 x^{10} + 11010 x^{5} + 10000$ |
$15$ |
[1,7] |
$-\,2^{23}\cdot 5^{28}\cdot 11^{5}$ |
$3$ |
$129.853670421$ |
$285.5254619149827$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$2$ |
$7$ |
$58513313572.70152$ |
| 15.1.715...000.1 |
$x^{15} - x^{14} + 38 x^{13} - 76 x^{12} + 747 x^{11} - 2533 x^{10} + 9150 x^{9} - 32728 x^{8} + 116212 x^{7} - 210208 x^{6} + 705164 x^{5} - 1043136 x^{4} + 2362896 x^{3} + 646344 x^{2} - 610356 x + 106644$ |
$15$ |
[1,7] |
$-\,2^{12}\cdot 3^{12}\cdot 5^{9}\cdot 1759^{5}$ |
$4$ |
$132.940798415$ |
$588.005547322932$ |
|
|
|
$F_5 \times S_3$ (as 15T11) |
$[2]$ |
$2$ |
$7$ |
$28343369816.557396$ |
