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 |
20.14.285...008.1 |
$x^{20} - 5 x^{19} + 5 x^{18} + 14 x^{17} - 55 x^{16} + 81 x^{15} + 28 x^{14} - 281 x^{13} + 368 x^{12} + x^{11} - 699 x^{10} + 872 x^{9} + 242 x^{8} - 1190 x^{7} + 324 x^{6} + 650 x^{5} - 277 x^{4} - 157 x^{3} + 67 x^{2} + 14 x - 4$ |
$20$ |
[14,3] |
$-\,2^{16}\cdot 83^{4}\cdot 983^{5}$ |
$3$ |
$23.5927189661$ |
|
|
|
|
$C_2^9.C_2^5.S_5$ (as 20T992) |
trivial |
$2$ |
$16$ |
$6043091.49938$ |
20.14.285...008.2 |
$x^{20} - 5 x^{19} + 3 x^{18} + 20 x^{17} - 34 x^{16} + 16 x^{15} + 11 x^{14} - 155 x^{13} + 216 x^{12} + 203 x^{11} - 282 x^{10} - 69 x^{9} - 236 x^{8} + 87 x^{7} + 636 x^{6} - 241 x^{5} - 374 x^{4} + 179 x^{3} + 55 x^{2} - 36 x + 4$ |
$20$ |
[14,3] |
$-\,2^{16}\cdot 83^{4}\cdot 983^{5}$ |
$3$ |
$23.5927189661$ |
|
|
|
|
$C_2^9.C_2^5.S_5$ (as 20T992) |
trivial |
$2$ |
$16$ |
$6011002.23468$ |
20.14.369...216.1 |
$x^{20} - 11 x^{18} + 22 x^{16} + 88 x^{14} - 264 x^{12} + 22 x^{10} + 374 x^{8} - 253 x^{6} - 22 x^{4} + 55 x^{2} - 11$ |
$20$ |
[14,3] |
$-\,2^{10}\cdot 3^{10}\cdot 11^{19}$ |
$3$ |
$23.9000426576$ |
$61.989041352431045$ |
|
|
? |
$C_2^{10}.C_{10}$ (as 20T409) |
trivial |
$2$ |
$16$ |
$4751405.97693$ |
20.14.369...216.2 |
$x^{20} - 33 x^{16} + 33 x^{14} + 253 x^{12} - 616 x^{10} + 363 x^{8} + 231 x^{6} - 341 x^{4} + 121 x^{2} - 11$ |
$20$ |
[14,3] |
$-\,2^{10}\cdot 3^{10}\cdot 11^{19}$ |
$3$ |
$23.9000426576$ |
$61.989041352431045$ |
|
|
? |
$C_2^{10}.C_{10}$ (as 20T409) |
trivial |
$2$ |
$16$ |
$4700790.14944$ |
20.14.527...896.1 |
$x^{20} - 12 x^{18} + 57 x^{16} - 136 x^{14} + 168 x^{12} - 90 x^{10} - 14 x^{8} + 51 x^{6} - 35 x^{4} + 10 x^{2} - 1$ |
$20$ |
[14,3] |
$-\,2^{20}\cdot 11^{16}\cdot 331^{2}$ |
$3$ |
$24.3291504001$ |
|
|
|
✓ |
$C_2^{10}.C_2\wr C_5$ (as 20T846) |
trivial |
$2$ |
$16$ |
$5173145.55109$ |
20.14.771...419.1 |
$x^{20} - 10 x^{19} + 30 x^{18} + 15 x^{17} - 243 x^{16} + 312 x^{15} + 496 x^{14} - 1282 x^{13} - 141 x^{12} + 2094 x^{11} - 590 x^{10} - 1841 x^{9} + 678 x^{8} + 1032 x^{7} - 268 x^{6} - 398 x^{5} + 34 x^{4} + 84 x^{3} + 4 x^{2} - 7 x - 1$ |
$20$ |
[14,3] |
$-\,31\cdot 47\cdot 67\cdot 211^{2}\cdot 36497^{4}$ |
$5$ |
$24.7945594852$ |
$867035.7176454727$ |
|
|
✓ |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$16$ |
$6852211.28871$ |
20.14.775...000.1 |
$x^{20} - 11 x^{18} + 44 x^{16} - 71 x^{14} + 11 x^{12} + 92 x^{10} - 84 x^{8} + 16 x^{6} - 2 x^{4} + 4 x^{2} - 1$ |
$20$ |
[14,3] |
$-\,2^{20}\cdot 5^{10}\cdot 27517559^{2}$ |
$3$ |
$24.8013881048$ |
|
|
|
? |
$C_2^{10}.S_5\wr C_2$ (as 20T1045) |
trivial |
$2$ |
$16$ |
$6557298.4188$ |
20.14.929...136.1 |
$x^{20} - 10 x^{18} + 15 x^{16} + 109 x^{14} - 292 x^{12} - 215 x^{10} + 954 x^{8} - 377 x^{6} - 357 x^{4} + 196 x^{2} - 1$ |
$20$ |
[14,3] |
$-\,2^{10}\cdot 11^{16}\cdot 14057^{2}$ |
$3$ |
$25.0275541931$ |
$3092.4742147584775$ |
|
|
? |
$C_2^{10}.C_2\wr C_5$ (as 20T846) |
trivial |
$2$ |
$16$ |
$8057205.06586$ |
20.14.929...136.2 |
$x^{20} - 9 x^{18} + 5 x^{16} + 113 x^{14} - 305 x^{12} + 204 x^{10} + 127 x^{8} - 153 x^{6} + 7 x^{4} + 10 x^{2} - 1$ |
$20$ |
[14,3] |
$-\,2^{10}\cdot 11^{16}\cdot 14057^{2}$ |
$3$ |
$25.0275541931$ |
$3092.4742147584775$ |
|
|
? |
$C_2^{10}.C_2\wr C_5$ (as 20T846) |
trivial |
$2$ |
$16$ |
$8374674.61528$ |
20.14.929...136.3 |
$x^{20} - 5 x^{18} - 5 x^{16} + 50 x^{14} - 17 x^{12} - 145 x^{10} + 106 x^{8} + 109 x^{6} - 129 x^{4} + 35 x^{2} - 1$ |
$20$ |
[14,3] |
$-\,2^{10}\cdot 11^{16}\cdot 14057^{2}$ |
$3$ |
$25.0275541931$ |
$3092.4742147584775$ |
|
|
? |
$C_2^{10}.C_2\wr C_5$ (as 20T846) |
trivial |
$2$ |
$16$ |
$8124238.65722$ |
20.14.942...264.1 |
$x^{20} - 11 x^{18} + 50 x^{16} - 121 x^{14} + 161 x^{12} - 85 x^{10} - 75 x^{8} + 158 x^{6} - 97 x^{4} + 19 x^{2} - 1$ |
$20$ |
[14,3] |
$-\,2^{20}\cdot 111847^{2}\cdot 847789^{2}$ |
$3$ |
$25.0450098815$ |
|
|
|
✓ |
$C_2^{10}.S_{10}$ (as 20T1110) |
trivial |
$2$ |
$16$ |
$7426158.67537$ |
20.14.100...944.1 |
$x^{20} - 8 x^{18} + 14 x^{16} + 28 x^{14} - 109 x^{12} + 91 x^{10} + 9 x^{8} - 12 x^{6} - 26 x^{4} + 12 x^{2} - 1$ |
$20$ |
[14,3] |
$-\,2^{20}\cdot 61^{4}\cdot 167^{2}\cdot 397^{4}$ |
$4$ |
$25.1261362886$ |
|
|
|
? |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$16$ |
$7750093.09146$ |
20.14.137...083.1 |
$x^{20} - 8 x^{19} + 20 x^{18} - 5 x^{17} - 64 x^{16} + 169 x^{15} - 274 x^{14} + 192 x^{13} + 204 x^{12} - 680 x^{11} + 1106 x^{10} - 1042 x^{9} + 322 x^{8} + 210 x^{7} - 582 x^{6} + 543 x^{5} + 90 x^{4} - 201 x^{3} - 9 x^{2} + 10 x + 1$ |
$20$ |
[14,3] |
$-\,3^{7}\cdot 97^{2}\cdot 401^{8}$ |
$3$ |
$25.5227438366$ |
$449.5717304124225$ |
|
|
? |
$C_2^9.C_2\wr D_5$ (as 20T845) |
trivial |
$2$ |
$16$ |
$12918857.2808$ |
20.14.156...896.1 |
$x^{20} - 12 x^{18} + 59 x^{16} - 153 x^{14} + 218 x^{12} - 136 x^{10} - 60 x^{8} + 168 x^{6} - 106 x^{4} + 21 x^{2} - 1$ |
$20$ |
[14,3] |
$-\,2^{24}\cdot 30516826559^{2}$ |
$2$ |
$25.6856128165$ |
|
|
|
? |
$C_2^{10}.S_{10}$ (as 20T1110) |
trivial |
$2$ |
$16$ |
$12870142.2073$ |
20.14.180...712.1 |
$x^{20} - 6 x^{19} - 3 x^{18} + 63 x^{17} - 9 x^{16} - 282 x^{15} - 34 x^{14} + 628 x^{13} + 532 x^{12} - 500 x^{11} - 1656 x^{10} - 422 x^{9} + 2972 x^{8} + 1787 x^{7} - 3354 x^{6} - 3144 x^{5} + 1146 x^{4} + 2077 x^{3} + 548 x^{2} - 102 x - 43$ |
$20$ |
[14,3] |
$-\,2^{10}\cdot 11^{16}\cdot 727^{3}$ |
$3$ |
$25.873745832$ |
$673.4612241550498$ |
|
|
? |
$C_2^5.C_2^8:C_{10}$ (as 20T747) |
trivial |
$2$ |
$16$ |
$10853950.9209$ |
20.14.180...712.2 |
$x^{20} - 8 x^{19} + 14 x^{18} + 40 x^{17} - 164 x^{16} + 152 x^{15} + 112 x^{14} - 599 x^{13} + 1522 x^{12} - 1809 x^{11} - 838 x^{10} + 4742 x^{9} - 4663 x^{8} + 499 x^{7} + 2314 x^{6} - 1661 x^{5} + 226 x^{4} + 183 x^{3} - 64 x^{2} + x + 1$ |
$20$ |
[14,3] |
$-\,2^{10}\cdot 11^{16}\cdot 727^{3}$ |
$3$ |
$25.873745832$ |
$673.4612241550498$ |
|
|
? |
$C_2^5.C_2^8:C_{10}$ (as 20T747) |
trivial |
$2$ |
$16$ |
$11006269.9622$ |
20.14.189...000.1 |
$x^{20} - 18 x^{18} + 116 x^{16} - 292 x^{14} + 78 x^{12} + 601 x^{10} - 298 x^{8} - 180 x^{6} + 94 x^{4} - 1$ |
$20$ |
[14,3] |
$-\,2^{8}\cdot 5^{10}\cdot 52501^{4}$ |
$3$ |
$25.9376434258$ |
$1879.316954581856$ |
|
|
? |
$C_2^8.D_{10}\wr C_2$ (as 20T876) |
trivial |
$2$ |
$16$ |
$10489505.0112$ |
20.14.189...000.2 |
$x^{20} - 7 x^{18} - 12 x^{16} + 171 x^{14} - 318 x^{12} - 12 x^{10} + 371 x^{8} - 140 x^{6} - 55 x^{4} + 18 x^{2} - 1$ |
$20$ |
[14,3] |
$-\,2^{8}\cdot 5^{10}\cdot 52501^{4}$ |
$3$ |
$25.9376434258$ |
$1879.316954581856$ |
|
|
|
$C_2^8.D_{10}\wr C_2$ (as 20T876) |
trivial |
$2$ |
$16$ |
$12027835.0199$ |
20.14.224...904.1 |
$x^{20} - 12 x^{18} + 48 x^{16} - 76 x^{14} + 27 x^{12} + 72 x^{10} - 135 x^{8} + 124 x^{6} - 60 x^{4} + 13 x^{2} - 1$ |
$20$ |
[14,3] |
$-\,2^{20}\cdot 11^{16}\cdot 683^{2}$ |
$3$ |
$26.1568965137$ |
|
|
|
? |
$C_2^{10}.C_2\wr C_5$ (as 20T846) |
trivial |
$2$ |
$16$ |
$12401984.7792$ |
20.14.490...479.1 |
$x^{20} - 10 x^{19} + 37 x^{18} - 48 x^{17} - 59 x^{16} + 268 x^{15} - 263 x^{14} - 197 x^{13} + 698 x^{12} - 483 x^{11} - 389 x^{10} + 828 x^{9} - 300 x^{8} - 365 x^{7} + 388 x^{6} - 38 x^{5} - 119 x^{4} + 53 x^{3} + 5 x^{2} - 7 x + 1$ |
$20$ |
[14,3] |
$-\,53\cdot 61^{4}\cdot 397^{4}\cdot 1373^{2}\cdot 1427$ |
$5$ |
$27.1973201921$ |
$1585788.8534641047$ |
|
|
✓ |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$16$ |
$17493673.1155$ |
20.14.643...679.1 |
$x^{20} - 10 x^{19} + 33 x^{18} - 12 x^{17} - 168 x^{16} + 324 x^{15} + 102 x^{14} - 876 x^{13} + 620 x^{12} + 752 x^{11} - 1254 x^{10} + 148 x^{9} + 841 x^{8} - 550 x^{7} - 137 x^{6} + 260 x^{5} - 53 x^{4} - 38 x^{3} + 16 x^{2} + x - 1$ |
$20$ |
[14,3] |
$-\,17^{4}\cdot 157^{2}\cdot 4153^{4}\cdot 105071$ |
$4$ |
$27.569334264$ |
$1079186.9506007752$ |
|
|
✓ |
$C_2^{10}.C_2\wr S_5$ (as 20T1015) |
trivial |
$2$ |
$16$ |
$17541643.2711$ |
20.14.727...875.1 |
$x^{20} - 6 x^{19} - 6 x^{18} + 104 x^{17} - 119 x^{16} - 601 x^{15} + 1425 x^{14} + 922 x^{13} - 5543 x^{12} + 2934 x^{11} + 7806 x^{10} - 10328 x^{9} - 227 x^{8} + 7303 x^{7} - 4163 x^{6} + 143 x^{5} + 484 x^{4} - 188 x^{3} + 68 x^{2} - 7 x - 1$ |
$20$ |
[14,3] |
$-\,5^{10}\cdot 19^{7}\cdot 1699^{4}$ |
$3$ |
$27.7387852469$ |
$401.75241131821474$ |
|
|
? |
$C_2^8.D_{10}\wr C_2$ (as 20T876) |
trivial |
$2$ |
$16$ |
$26393498.0807$ |
20.14.727...875.2 |
$x^{20} - x^{19} - 22 x^{18} + 12 x^{17} + 158 x^{16} - 61 x^{15} - 475 x^{14} + 121 x^{13} + 691 x^{12} + 24 x^{11} - 877 x^{10} + 24 x^{9} + 691 x^{8} + 121 x^{7} - 475 x^{6} - 61 x^{5} + 158 x^{4} + 12 x^{3} - 22 x^{2} - x + 1$ |
$20$ |
[14,3] |
$-\,5^{10}\cdot 19^{7}\cdot 1699^{4}$ |
$3$ |
$27.7387852469$ |
$838.7777321687686$ |
|
|
? |
$C_2^8.D_{10}\wr C_2$ (as 20T876) |
trivial |
$2$ |
$16$ |
$25622777.7198$ |
20.14.727...875.3 |
$x^{20} - 10 x^{19} + 38 x^{18} - 57 x^{17} - 67 x^{16} + 536 x^{15} - 1218 x^{14} + 1084 x^{13} + 1103 x^{12} - 4720 x^{11} + 6327 x^{10} - 2612 x^{9} - 3468 x^{8} + 4748 x^{7} - 1187 x^{6} - 1161 x^{5} + 750 x^{4} - 22 x^{3} - 83 x^{2} + 18 x - 1$ |
$20$ |
[14,3] |
$-\,5^{10}\cdot 19^{7}\cdot 1699^{4}$ |
$3$ |
$27.738785246865366$ |
$838.7777321687686$ |
|
|
? |
$C_2^8.D_{10}\wr C_2$ (as 20T876) |
trivial |
$2$ |
$16$ |
$24265310.412863705$ |
20.14.757...375.1 |
$x^{20} - 10 x^{19} + 35 x^{18} - 30 x^{17} - 120 x^{16} + 348 x^{15} - 218 x^{14} - 484 x^{13} + 1049 x^{12} - 522 x^{11} - 762 x^{10} + 1263 x^{9} - 440 x^{8} - 478 x^{7} + 515 x^{6} - 87 x^{5} - 115 x^{4} + 62 x^{3} - 7 x + 1$ |
$20$ |
[14,3] |
$-\,3^{4}\cdot 5^{10}\cdot 439\cdot 21611^{4}$ |
$4$ |
$27.795049499$ |
$11929.309912983232$ |
|
|
? |
$C_2^8.(D_4\times S_5)$ (as 20T887) |
trivial |
$2$ |
$16$ |
$20115208.4171$ |
20.14.110...024.1 |
$x^{20} - 16 x^{18} - 5 x^{17} + 89 x^{16} + 111 x^{15} - 299 x^{14} - 527 x^{13} + 427 x^{12} + 1313 x^{11} + 119 x^{10} - 2063 x^{9} - 704 x^{8} + 1326 x^{7} + 1326 x^{6} - 781 x^{5} - 683 x^{4} + 303 x^{3} + 105 x^{2} - 42 x - 1$ |
$20$ |
[14,3] |
$-\,2^{10}\cdot 401^{10}$ |
$2$ |
$28.319604517$ |
$76.70396300844678$ |
|
|
|
$C_2^9.D_{10}$ (as 20T423) |
trivial |
$2$ |
$16$ |
$34266415.164$ |
20.14.163...875.1 |
$x^{20} - 10 x^{19} + 34 x^{18} - 21 x^{17} - 142 x^{16} + 320 x^{15} - 13 x^{14} - 715 x^{13} + 751 x^{12} + 343 x^{11} - 1189 x^{10} + 593 x^{9} + 561 x^{8} - 775 x^{7} + 150 x^{6} + 275 x^{5} - 192 x^{4} + 4 x^{3} + 38 x^{2} - 13 x + 1$ |
$20$ |
[14,3] |
$-\,5^{10}\cdot 13^{4}\cdot 166099\cdot 1881241^{2}$ |
$4$ |
$28.889263295$ |
$4506738.973563368$ |
|
|
✓ |
$C_2^{10}.S_5\wr C_2$ (as 20T1045) |
trivial |
$2$ |
$16$ |
$32161832.6569$ |
20.14.203...375.1 |
$x^{20} - 2 x^{19} - 3 x^{18} + 10 x^{17} - 39 x^{16} + 21 x^{15} + 122 x^{14} - 94 x^{13} + 25 x^{12} + 32 x^{11} - 238 x^{10} + 142 x^{9} + 36 x^{8} - 70 x^{7} + 170 x^{6} - 104 x^{5} - 63 x^{4} + 69 x^{3} - 11 x^{2} - 4 x + 1$ |
$20$ |
[14,3] |
$-\,5^{10}\cdot 27517559^{3}$ |
$2$ |
$29.2029340798$ |
$11729.782393548483$ |
|
|
? |
$S_5\wr C_2$ (as 20T540) |
trivial |
$2$ |
$16$ |
$34941648.942$ |
20.14.206...256.1 |
$x^{20} - 16 x^{18} + 69 x^{16} - 19 x^{14} - 264 x^{12} + 95 x^{10} + 332 x^{8} - 7 x^{6} - 67 x^{4} + 16 x^{2} - 1$ |
$20$ |
[14,3] |
$-\,2^{10}\cdot 61^{6}\cdot 397^{6}$ |
$3$ |
$29.2247698944$ |
$596.0816979480248$ |
|
|
? |
$C_2^4.C_{3618}$ (as 20T808) |
trivial |
$2$ |
$16$ |
$42377872.4095$ |
20.14.206...256.2 |
$x^{20} - 17 x^{18} + 76 x^{16} - 24 x^{14} - 471 x^{12} + 659 x^{10} + 489 x^{8} - 1266 x^{6} + 675 x^{4} - 108 x^{2} - 1$ |
$20$ |
[14,3] |
$-\,2^{10}\cdot 61^{6}\cdot 397^{6}$ |
$3$ |
$29.2247698944$ |
$596.0816979480248$ |
|
|
? |
$C_2^4.C_{3618}$ (as 20T808) |
trivial |
$2$ |
$16$ |
$41680196.1495$ |
20.14.206...256.3 |
$x^{20} - 4 x^{19} - 12 x^{18} + 54 x^{17} + 52 x^{16} - 266 x^{15} - 212 x^{14} + 826 x^{13} + 698 x^{12} - 1923 x^{11} - 1232 x^{10} + 2994 x^{9} + 1066 x^{8} - 2717 x^{7} - 451 x^{6} + 1303 x^{5} + 116 x^{4} - 291 x^{3} - 19 x^{2} + 19 x - 1$ |
$20$ |
[14,3] |
$-\,2^{10}\cdot 61^{6}\cdot 397^{6}$ |
$3$ |
$29.2247698944$ |
$596.0816979480248$ |
|
|
? |
$C_2^4.C_{3618}$ (as 20T808) |
trivial |
$2$ |
$16$ |
$43604647.7992$ |
20.14.206...256.4 |
$x^{20} - 11 x^{18} + 20 x^{16} + 106 x^{14} - 302 x^{12} - 30 x^{10} + 220 x^{8} - 39 x^{6} - 38 x^{4} + 13 x^{2} - 1$ |
$20$ |
[14,3] |
$-\,2^{10}\cdot 61^{6}\cdot 397^{6}$ |
$3$ |
$29.2247698944$ |
$596.0816979480248$ |
|
|
? |
$C_2^4.C_{3618}$ (as 20T808) |
trivial |
$2$ |
$16$ |
$40574465.2845$ |
20.14.206...256.5 |
$x^{20} - 14 x^{18} + 40 x^{16} + 145 x^{14} - 629 x^{12} + 316 x^{10} + 572 x^{8} - 498 x^{6} + 74 x^{4} + 11 x^{2} - 1$ |
$20$ |
[14,3] |
$-\,2^{10}\cdot 61^{6}\cdot 397^{6}$ |
$3$ |
$29.2247698944$ |
$596.0816979480248$ |
|
|
? |
$C_2^4.C_{3618}$ (as 20T808) |
trivial |
$2$ |
$16$ |
$50140001.0082$ |
20.14.212...375.1 |
$x^{20} - 10 x^{19} + 33 x^{18} - 12 x^{17} - 169 x^{16} + 332 x^{15} + 88 x^{14} - 918 x^{13} + 782 x^{12} + 690 x^{11} - 1620 x^{10} + 592 x^{9} + 1001 x^{8} - 1104 x^{7} + 95 x^{6} + 428 x^{5} - 236 x^{4} + 4 x^{3} + 26 x^{2} - 3 x - 1$ |
$20$ |
[14,3] |
$-\,5^{10}\cdot 79\cdot 359^{2}\cdot 1361\cdot 1253831^{2}$ |
$5$ |
$29.2679704696$ |
$15555871.118126268$ |
|
|
✓ |
$C_2^{10}.S_5\wr C_2$ (as 20T1045) |
trivial |
$2$ |
$16$ |
$41363468.2742$ |
20.14.222...375.1 |
$x^{20} - x^{19} - 24 x^{18} + 27 x^{17} + 193 x^{16} - 196 x^{15} - 751 x^{14} + 655 x^{13} + 1588 x^{12} - 1241 x^{11} - 1939 x^{10} + 1425 x^{9} + 1378 x^{8} - 973 x^{7} - 555 x^{6} + 368 x^{5} + 125 x^{4} - 69 x^{3} - 16 x^{2} + 5 x + 1$ |
$20$ |
[14,3] |
$-\,5^{10}\cdot 3169^{3}\cdot 8951^{3}$ |
$3$ |
$29.336214445$ |
$11909.181122142698$ |
|
|
? |
$S_5\wr C_2$ (as 20T540) |
trivial |
$2$ |
$16$ |
$33499169.1585$ |
20.14.240...000.1 |
$x^{20} - 18 x^{18} + 143 x^{16} - 656 x^{14} + 1903 x^{12} - 3584 x^{10} + 4315 x^{8} - 3116 x^{6} + 1139 x^{4} - 95 x^{2} - 31$ |
$20$ |
[14,3] |
$-\,2^{20}\cdot 5^{10}\cdot 31\cdot 27517559^{2}$ |
$4$ |
$29.4472045532$ |
|
|
|
✓ |
$C_2^{10}.S_5\wr C_2$ (as 20T1045) |
trivial |
$2$ |
$16$ |
$40653566.0541$ |
20.14.470...000.1 |
$x^{20} - 13 x^{18} + 56 x^{16} - 56 x^{14} - 213 x^{12} + 524 x^{10} - 150 x^{8} - 309 x^{6} + 43 x^{4} + 9 x^{2} - 1$ |
$20$ |
[14,3] |
$-\,2^{20}\cdot 5^{10}\cdot 11^{16}$ |
$3$ |
$30.4529343296$ |
|
|
|
? |
$C_2^{10}.C_{10}$ (as 20T409) |
trivial |
$2$ |
$16$ |
$59734286.2762$ |
20.14.470...000.2 |
$x^{20} - 11 x^{18} + 35 x^{16} - 170 x^{12} + 198 x^{10} + 119 x^{8} - 253 x^{6} + 81 x^{4} - 1$ |
$20$ |
[14,3] |
$-\,2^{20}\cdot 5^{10}\cdot 11^{16}$ |
$3$ |
$30.4529343296$ |
|
|
|
? |
$C_2^{10}.C_{10}$ (as 20T409) |
trivial |
$2$ |
$16$ |
$59080876.7616$ |
20.14.470...000.3 |
$x^{20} - 4 x^{18} - 18 x^{16} + 91 x^{14} + 13 x^{12} - 480 x^{10} + 652 x^{8} - 238 x^{6} - 47 x^{4} + 32 x^{2} - 1$ |
$20$ |
[14,3] |
$-\,2^{20}\cdot 5^{10}\cdot 11^{16}$ |
$3$ |
$30.4529343296$ |
|
|
|
? |
$C_2^{10}.C_{10}$ (as 20T409) |
trivial |
$2$ |
$16$ |
$57907471.7044$ |
20.14.470...000.4 |
$x^{20} - 8 x^{18} - 6 x^{16} + 123 x^{14} - 78 x^{12} - 488 x^{10} + 500 x^{8} + 314 x^{6} - 306 x^{4} + 38 x^{2} - 1$ |
$20$ |
[14,3] |
$-\,2^{20}\cdot 5^{10}\cdot 11^{16}$ |
$3$ |
$30.4529343296$ |
|
|
|
? |
$C_2^{10}.C_{10}$ (as 20T409) |
trivial |
$2$ |
$16$ |
$58038793.5383$ |
20.14.470...000.5 |
$x^{20} - 4 x^{18} - 21 x^{16} + 127 x^{14} - 148 x^{12} - 176 x^{10} + 419 x^{8} - 174 x^{6} - 25 x^{4} + 13 x^{2} - 1$ |
$20$ |
[14,3] |
$-\,2^{20}\cdot 5^{10}\cdot 11^{16}$ |
$3$ |
$30.4529343296$ |
|
|
|
? |
$C_2^{10}.C_{10}$ (as 20T409) |
trivial |
$2$ |
$16$ |
$59561279.6408$ |
20.14.470...000.6 |
$x^{20} - 8 x^{18} + 5 x^{16} + 101 x^{14} - 276 x^{12} + 106 x^{10} + 401 x^{8} - 544 x^{6} + 255 x^{4} - 39 x^{2} - 1$ |
$20$ |
[14,3] |
$-\,2^{20}\cdot 5^{10}\cdot 11^{16}$ |
$3$ |
$30.4529343296$ |
|
|
|
? |
$C_2^{10}.C_{10}$ (as 20T409) |
trivial |
$2$ |
$16$ |
$58009200.3887$ |
20.14.511...704.1 |
$x^{20} - 18 x^{18} + 132 x^{16} - 514 x^{14} + 1157 x^{12} - 1529 x^{10} + 1146 x^{8} - 444 x^{6} + 72 x^{4} + x^{2} - 1$ |
$20$ |
[14,3] |
$-\,2^{20}\cdot 3^{6}\cdot 401^{8}$ |
$3$ |
$30.5790592997$ |
|
|
|
✓ |
$C_2^{10}.C_2\wr D_5$ (as 20T905) |
trivial |
$2$ |
$16$ |
$120244252.751$ |
20.14.730...048.1 |
$x^{20} - 17 x^{18} + 78 x^{16} + 169 x^{14} - 2308 x^{12} + 5257 x^{10} + 2272 x^{8} - 19123 x^{6} + 14566 x^{4} + 1571 x^{2} - 983$ |
$20$ |
[14,3] |
$-\,2^{24}\cdot 83^{4}\cdot 983^{5}$ |
$3$ |
$31.1307793124$ |
|
|
|
? |
$C_2^9.C_2^5.S_5$ (as 20T992) |
trivial |
$2$ |
$16$ |
$73472376.5723$ |
20.14.730...048.2 |
$x^{20} - 6 x^{19} + 2 x^{18} + 38 x^{17} - 27 x^{16} - 28 x^{15} - 480 x^{14} + 984 x^{13} + 1252 x^{12} - 4122 x^{11} + 2152 x^{10} - 986 x^{9} + 4021 x^{8} + 22 x^{7} - 7550 x^{6} + 5192 x^{5} + 868 x^{4} - 1938 x^{3} + 658 x^{2} - 68 x - 1$ |
$20$ |
[14,3] |
$-\,2^{24}\cdot 83^{4}\cdot 983^{5}$ |
$3$ |
$31.1307793124$ |
|
|
|
? |
$C_2^9.C_2^5.S_5$ (as 20T992) |
trivial |
$2$ |
$16$ |
$65275597.0451$ |
20.14.730...048.3 |
$x^{20} - 5 x^{19} - 5 x^{18} + 71 x^{17} - 199 x^{16} + 390 x^{15} - 472 x^{14} + 150 x^{13} - 443 x^{12} + 1737 x^{11} - 693 x^{10} - 2155 x^{9} + 1277 x^{8} + 1162 x^{7} - 540 x^{6} - 454 x^{5} + 89 x^{4} + 107 x^{3} - 9 x^{2} - 9 x + 1$ |
$20$ |
[14,3] |
$-\,2^{24}\cdot 83^{4}\cdot 983^{5}$ |
$3$ |
$31.130779312400822$ |
|
|
|
? |
$C_2^9.C_2^5.S_5$ (as 20T992) |
trivial |
$2$ |
$16$ |
$76532819.93815342$ |
20.14.153...000.1 |
$x^{20} - 14 x^{18} + 81 x^{16} - 253 x^{14} + 468 x^{12} - 523 x^{10} + 325 x^{8} - 64 x^{6} - 34 x^{4} + 13 x^{2} - 1$ |
$20$ |
[14,3] |
$-\,2^{20}\cdot 5^{10}\cdot 29^{2}\cdot 13345751^{2}$ |
$4$ |
$32.3064396807$ |
|
|
|
? |
$C_2^{10}.S_5\wr C_2$ (as 20T1045) |
trivial |
$2$ |
$16$ |
$129892622.541$ |
20.14.158...616.1 |
$x^{20} - 9 x^{18} + 2 x^{16} + 95 x^{14} - 136 x^{12} - 189 x^{10} + 430 x^{8} - 58 x^{6} - 241 x^{4} + 107 x^{2} - 1$ |
$20$ |
[14,3] |
$-\,2^{20}\cdot 11^{16}\cdot 5741^{2}$ |
$3$ |
$32.3625622247$ |
|
|
|
? |
$C_2^{10}.C_2\wr C_5$ (as 20T846) |
trivial |
$2$ |
$16$ |
$110692929.335$ |
20.14.189...000.1 |
$x^{20} - 15 x^{18} + 29 x^{16} + 218 x^{14} - 967 x^{12} + 1411 x^{10} - 781 x^{8} + 6 x^{6} + 119 x^{4} - 15 x^{2} - 5$ |
$20$ |
[14,3] |
$-\,2^{28}\cdot 5^{11}\cdot 3469^{4}$ |
$3$ |
$32.652493846541915$ |
|
|
|
? |
$C_2^8.D_{10}\wr C_2$ (as 20T876) |
trivial |
$2$ |
$16$ |
$177548894.7040005$ |
20.14.241...584.1 |
$x^{20} - 21 x^{18} + 188 x^{16} - 928 x^{14} + 2709 x^{12} - 4555 x^{10} + 3515 x^{8} + 1004 x^{6} - 4185 x^{4} + 2970 x^{2} - 701$ |
$20$ |
[14,3] |
$-\,2^{10}\cdot 71^{2}\cdot 401^{8}\cdot 701$ |
$4$ |
$33.0509907534$ |
$17112.205469533244$ |
|
|
? |
$C_2^{10}.C_2\wr D_5$ (as 20T905) |
trivial |
$2$ |
$16$ |
$295107489.43$ |