| 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 |
| 32.0.473...000.1 |
$x^{32} + x^{28} - x^{20} - x^{16} - x^{12} + x^{4} + 1$ |
$32$ |
[0,16] |
$2^{64}\cdot 3^{16}\cdot 5^{24}$ |
$3$ |
$23.1658437058$ |
$23.165843705765383$ |
✓ |
✓ |
✓ |
$C_2^3\times C_4$ (as 32T34) |
$[4]$ |
$120$ |
$15$ |
$5926511257.21094$ |
| 32.0.366...000.1 |
$x^{32} - 3 x^{30} + 4 x^{28} - 9 x^{26} + 27 x^{24} - 93 x^{22} + 188 x^{20} - 279 x^{18} + 581 x^{16} - 1116 x^{14} + 3008 x^{12} - 5952 x^{10} + 6912 x^{8} - 9216 x^{6} + 16384 x^{4} - 49152 x^{2} + 65536$ |
$32$ |
[0,16] |
$2^{32}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16}$ |
$4$ |
$30.6455306782$ |
$30.645530678223075$ |
✓ |
✓ |
|
$C_2^3\times C_4$ (as 32T34) |
not computed |
$60$ |
$15$ |
|
| 32.0.520...000.1 |
$x^{32} - 47 x^{24} + 2208 x^{16} - 47 x^{8} + 1$ |
$32$ |
[0,16] |
$2^{96}\cdot 3^{16}\cdot 5^{16}$ |
$3$ |
$30.9838667697$ |
$30.983866769659336$ |
✓ |
✓ |
|
$C_2^3\times C_4$ (as 32T34) |
$[20]$ |
$48$ |
$15$ |
$82239790500.5115$ |
| 32.0.365...000.1 |
$x^{32} - x^{28} - 15 x^{24} + 31 x^{20} + 209 x^{16} + 496 x^{12} - 3840 x^{8} - 4096 x^{4} + 65536$ |
$32$ |
[0,16] |
$2^{64}\cdot 5^{24}\cdot 7^{16}$ |
$3$ |
$35.3864107731$ |
$35.38641077306205$ |
✓ |
✓ |
? |
$C_2^3\times C_4$ (as 32T34) |
not computed |
$40$ |
$15$ |
|
| 32.0.113...856.1 |
$x^{32} + 31 x^{24} + 705 x^{16} + 7936 x^{8} + 65536$ |
$32$ |
[0,16] |
$2^{96}\cdot 3^{16}\cdot 7^{16}$ |
$3$ |
$36.6606055596$ |
$36.66060555964672$ |
✓ |
✓ |
|
$C_2^3\times C_4$ (as 32T34) |
$[4, 4, 4]$ |
$48$ |
$15$ |
$374180447387.275$ |
| 32.0.506...000.1 |
$x^{32} - 5 x^{30} + 9 x^{28} - 10 x^{26} + 50 x^{24} - 565 x^{22} + 1746 x^{20} - 1130 x^{18} - 911 x^{16} - 10170 x^{14} + 141426 x^{12} - 411885 x^{10} + 328050 x^{8} - 590490 x^{6} + 4782969 x^{4} - 23914845 x^{2} + 43046721$ |
$32$ |
[0,16] |
$2^{32}\cdot 3^{16}\cdot 5^{24}\cdot 11^{16}$ |
$4$ |
$38.416205762$ |
$38.416205762020034$ |
✓ |
✓ |
|
$C_2^3\times C_4$ (as 32T34) |
not computed |
$60$ |
$15$ |
|
| 32.0.733...000.1 |
$x^{32} + 7 x^{30} + 9 x^{28} - 154 x^{26} - 1078 x^{24} - 5593 x^{22} - 6462 x^{20} + 123046 x^{18} + 854761 x^{16} + 1107414 x^{14} - 523422 x^{12} - 4077297 x^{10} - 7072758 x^{8} - 9093546 x^{6} + 4782969 x^{4} + 33480783 x^{2} + 43046721$ |
$32$ |
[0,16] |
$2^{32}\cdot 3^{16}\cdot 5^{24}\cdot 13^{16}$ |
$4$ |
$41.7628186603$ |
$41.7628186602609$ |
✓ |
✓ |
|
$C_2^3\times C_4$ (as 32T34) |
not computed |
$60$ |
$15$ |
|
| 32.0.240...000.1 |
$x^{32} - 2 x^{31} + 9 x^{30} - 30 x^{29} + 46 x^{28} + 64 x^{27} - 323 x^{26} + 2264 x^{25} - 7635 x^{24} + 21504 x^{23} - 30305 x^{22} + 57880 x^{21} + 39466 x^{20} - 694266 x^{19} + 2319339 x^{18} - 3485698 x^{17} + 14846451 x^{16} - 12810752 x^{15} + 2519526 x^{14} + 3448824 x^{13} - 3068744 x^{12} + 1256816 x^{11} - 39944 x^{10} - 329952 x^{9} + 240720 x^{8} - 70592 x^{7} - 12128 x^{6} + 24320 x^{5} - 13184 x^{4} + 3072 x^{3} + 1152 x^{2} - 1024 x + 256$ |
$32$ |
[0,16] |
$2^{48}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16}$ |
$4$ |
$43.3393251113$ |
$43.339325111263825$ |
✓ |
✓ |
|
$C_2^3\times C_4$ (as 32T34) |
not computed |
$30$ |
$15$ |
|
| 32.0.240...000.2 |
$x^{32} - 2 x^{31} + x^{30} - 10 x^{29} - 20 x^{28} - 136 x^{27} + 489 x^{26} + 412 x^{25} + 1455 x^{24} - 380 x^{23} + 20765 x^{22} - 113020 x^{21} + 22444 x^{20} - 71630 x^{19} + 273805 x^{18} - 1917530 x^{17} + 8820755 x^{16} - 6803856 x^{15} - 3050102 x^{14} + 14422848 x^{13} - 16249472 x^{12} + 4718368 x^{11} + 18224552 x^{10} - 33044576 x^{9} + 20240880 x^{8} + 9340480 x^{7} + 2473504 x^{6} + 461696 x^{5} - 5632 x^{4} + 15872 x^{3} + 6272 x^{2} + 1536 x + 256$ |
$32$ |
[0,16] |
$2^{48}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16}$ |
$4$ |
$43.3393251113$ |
$43.339325111263825$ |
✓ |
✓ |
|
$C_2^3\times C_4$ (as 32T34) |
not computed |
$30$ |
$15$ |
|
| 32.0.505...000.1 |
$x^{32} - 7 x^{28} - 32 x^{24} + 791 x^{20} - 2945 x^{16} + 64071 x^{12} - 209952 x^{8} - 3720087 x^{4} + 43046721$ |
$32$ |
[0,16] |
$2^{64}\cdot 5^{24}\cdot 11^{16}$ |
$3$ |
$44.3592134759$ |
$44.35921347589264$ |
✓ |
✓ |
? |
$C_2^3\times C_4$ (as 32T34) |
not computed |
$40$ |
$15$ |
|
| 32.0.156...216.1 |
$x^{32} + 113 x^{24} + 6208 x^{16} + 741393 x^{8} + 43046721$ |
$32$ |
[0,16] |
$2^{96}\cdot 3^{16}\cdot 11^{16}$ |
$3$ |
$45.9565011723$ |
$45.95650117230423$ |
✓ |
✓ |
|
$C_2^3\times C_4$ (as 32T34) |
not computed |
$48$ |
$15$ |
|
| 32.0.203...000.8 |
$x^{32} - 175 x^{24} + 30000 x^{16} - 109375 x^{8} + 390625$ |
$32$ |
[0,16] |
$2^{96}\cdot 3^{16}\cdot 5^{24}$ |
$3$ |
$46.3316874115$ |
$46.331687411530766$ |
✓ |
✓ |
|
$C_2^3\times C_4$ (as 32T34) |
not computed |
$24$ |
$15$ |
|
| 32.0.401...000.1 |
$x^{32} - 1457 x^{24} + 565953 x^{16} - 372992 x^{8} + 65536$ |
$32$ |
[0,16] |
$2^{96}\cdot 5^{16}\cdot 7^{16}$ |
$3$ |
$47.3286382648$ |
$47.32863826479693$ |
✓ |
✓ |
|
$C_2^3\times C_4$ (as 32T34) |
$[2, 8, 8]$ |
$16$ |
$15$ |
$3469532895544.2065$ |
| 32.0.431...096.1 |
$x^{32} + 27 x^{28} + 363 x^{24} + 9266 x^{20} + 125559 x^{16} + 108354 x^{12} + 65218 x^{8} + 24948 x^{4} + 6561$ |
$32$ |
[0,16] |
$2^{64}\cdot 3^{16}\cdot 13^{24}$ |
$3$ |
$47.4327312717$ |
$47.43273127166018$ |
✓ |
✓ |
|
$C_2^3\times C_4$ (as 32T34) |
$[4, 4, 12]$ |
$24$ |
$15$ |
$4647831490592.4375$ |
| 32.0.731...000.1 |
$x^{32} - 31 x^{28} + 880 x^{24} - 24769 x^{20} + 696559 x^{16} - 2006289 x^{12} + 5773680 x^{8} - 16474671 x^{4} + 43046721$ |
$32$ |
[0,16] |
$2^{64}\cdot 5^{24}\cdot 13^{16}$ |
$3$ |
$48.2235491912$ |
$48.22354919123831$ |
✓ |
✓ |
? |
$C_2^3\times C_4$ (as 32T34) |
not computed |
$40$ |
$15$ |
|
| 32.0.226...296.1 |
$x^{32} - 799 x^{24} + 631840 x^{16} - 5242239 x^{8} + 43046721$ |
$32$ |
[0,16] |
$2^{96}\cdot 3^{16}\cdot 13^{16}$ |
$3$ |
$49.9599839872$ |
$49.95998398718719$ |
✓ |
✓ |
|
$C_2^3\times C_4$ (as 32T34) |
not computed |
$48$ |
$15$ |
|
| 32.0.153...000.1 |
$x^{32} + 9 x^{30} - 54 x^{28} + 1035 x^{26} + 16752 x^{24} + 486 x^{22} - 81535 x^{20} - 2988 x^{18} + 257994 x^{16} - 41841 x^{14} - 657960 x^{12} + 460998 x^{10} + 1297957 x^{8} - 167940 x^{6} - 81486 x^{4} - 8748 x^{2} + 6561$ |
$32$ |
[0,16] |
$2^{32}\cdot 3^{16}\cdot 5^{16}\cdot 13^{24}$ |
$4$ |
$53.031405741$ |
$53.0314057409561$ |
✓ |
✓ |
|
$C_2^3\times C_4$ (as 32T34) |
$[4, 4, 4, 8]$ |
$12$ |
$15$ |
$8672607098800.753$ |
| 32.0.535...000.1 |
$x^{32} - 49 x^{28} + 2145 x^{24} - 92561 x^{20} + 3986369 x^{16} - 23695616 x^{12} + 140574720 x^{8} - 822083584 x^{4} + 4294967296$ |
$32$ |
[0,16] |
$2^{64}\cdot 5^{24}\cdot 17^{16}$ |
$3$ |
$55.1457382705$ |
$55.14573827051111$ |
✓ |
✓ |
? |
$C_2^3\times C_4$ (as 32T34) |
not computed |
$40$ |
$15$ |
|
| 32.0.165...136.1 |
$x^{32} - 1889 x^{24} + 3502785 x^{16} - 123797504 x^{8} + 4294967296$ |
$32$ |
[0,16] |
$2^{96}\cdot 3^{16}\cdot 17^{16}$ |
$3$ |
$57.1314274283$ |
$57.1314274283428$ |
✓ |
✓ |
|
$C_2^3\times C_4$ (as 32T34) |
not computed |
$48$ |
$15$ |
|
| 32.0.269...456.1 |
$x^{32} - 89 x^{28} + 6657 x^{24} - 112318 x^{20} + 1589774 x^{16} - 112318 x^{12} + 6657 x^{8} - 89 x^{4} + 1$ |
$32$ |
[0,16] |
$2^{64}\cdot 3^{16}\cdot 17^{24}$ |
$3$ |
$58.0039153032$ |
$58.003915303227686$ |
✓ |
✓ |
|
$C_2^3\times C_4$ (as 32T34) |
$[2, 4, 4, 4, 20]$ |
$24$ |
$15$ |
$9699756571026.293$ |
| 32.0.317...000.1 |
$x^{32} - 31 x^{28} + 336 x^{24} + 8959 x^{20} - 487729 x^{16} + 5599375 x^{12} + 131250000 x^{8} - 7568359375 x^{4} + 152587890625$ |
$32$ |
[0,16] |
$2^{64}\cdot 5^{24}\cdot 19^{16}$ |
$3$ |
$58.2994281773$ |
$58.29942817729587$ |
✓ |
✓ |
? |
$C_2^3\times C_4$ (as 32T34) |
not computed |
$40$ |
$15$ |
|
| 32.0.555...000.1 |
$x^{32} - 16 x^{31} + 168 x^{30} - 1280 x^{29} + 7940 x^{28} - 41328 x^{27} + 186928 x^{26} - 745264 x^{25} + 2661064 x^{24} - 8576968 x^{23} + 25163388 x^{22} - 67485584 x^{21} + 166198466 x^{20} - 376678008 x^{19} + 787966480 x^{18} - 1523844232 x^{17} + 2732603853 x^{16} - 4553339576 x^{15} + 7076120604 x^{14} - 10275000064 x^{13} + 13969080118 x^{12} - 17739551640 x^{11} + 20941585712 x^{10} - 22729087880 x^{9} + 22339693138 x^{8} - 19475722016 x^{7} + 14623867272 x^{6} - 9105819856 x^{5} + 4388439484 x^{4} - 1453633536 x^{3} + 226590728 x^{2} + 29361904 x + 22688836$ |
$32$ |
[0,16] |
$2^{96}\cdot 5^{16}\cdot 11^{16}$ |
$3$ |
$59.3295878968$ |
$59.329587896765304$ |
✓ |
✓ |
|
$C_2^3\times C_4$ (as 32T34) |
not computed |
$16$ |
$15$ |
|
| 32.0.983...336.1 |
$x^{32} + 289 x^{24} - 307104 x^{16} + 112890625 x^{8} + 152587890625$ |
$32$ |
[0,16] |
$2^{96}\cdot 3^{16}\cdot 19^{16}$ |
$3$ |
$60.3986754822$ |
$60.398675482166$ |
✓ |
✓ |
|
$C_2^3\times C_4$ (as 32T34) |
not computed |
$48$ |
$15$ |
|
| 32.0.152...000.1 |
$x^{32} - 189 x^{28} + 17931 x^{24} - 168350 x^{20} + 703575 x^{16} - 1493310 x^{12} + 1488226 x^{8} - 174636 x^{4} + 6561$ |
$32$ |
[0,16] |
$2^{64}\cdot 5^{16}\cdot 13^{24}$ |
$3$ |
$61.2353927601$ |
$61.23539276009054$ |
✓ |
✓ |
|
$C_2^3\times C_4$ (as 32T34) |
$[4, 408]$ |
$8$ |
$15$ |
$26450919227224.95$ |
| 32.0.157...000.1 |
$x^{32} - 71 x^{28} + 4416 x^{24} - 269161 x^{20} + 16350431 x^{16} - 168225625 x^{12} + 1725000000 x^{8} - 17333984375 x^{4} + 152587890625$ |
$32$ |
[0,16] |
$2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16}$ |
$4$ |
$61.2910613564$ |
$61.29106135644615$ |
✓ |
✓ |
? |
$C_2^3\times C_4$ (as 32T34) |
not computed |
$40$ |
$15$ |
|
| 32.32.157...000.1 |
$x^{32} - 64 x^{30} + 1857 x^{28} - 32312 x^{26} + 375816 x^{24} - 3083136 x^{22} + 18349567 x^{20} - 80265176 x^{18} + 258638727 x^{16} - 609791200 x^{14} + 1035373423 x^{12} - 1232817768 x^{10} + 987632472 x^{8} - 498130816 x^{6} + 140204289 x^{4} - 16422920 x^{2} + 3481$ |
$32$ |
[32,0] |
$2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16}$ |
$4$ |
$61.2910613564$ |
$61.29106135644615$ |
|
✓ |
? |
$C_2^3\times C_4$ (as 32T34) |
trivial |
$2$ |
$31$ |
$3007047405418283000$ |
| 32.0.157...000.2 |
$x^{32} - 76 x^{28} + 5170 x^{24} - 45134 x^{20} + 332199 x^{16} - 279214 x^{12} + 211915 x^{8} - 461 x^{4} + 1$ |
$32$ |
[0,16] |
$2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16}$ |
$4$ |
$61.2910613564$ |
$61.29106135644615$ |
✓ |
✓ |
? |
$C_2^3\times C_4$ (as 32T34) |
$[2, 4, 4, 16]$ |
$12$ |
$15$ |
$28764339921106.887$ |
| 32.0.157...000.3 |
$x^{32} - 23 x^{28} + 528 x^{24} - 12121 x^{20} + 278255 x^{16} - 12121 x^{12} + 528 x^{8} - 23 x^{4} + 1$ |
$32$ |
[0,16] |
$2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16}$ |
$4$ |
$61.2910613564$ |
$61.29106135644615$ |
✓ |
✓ |
|
$C_2^3\times C_4$ (as 32T34) |
$[4, 4, 4, 80]$ |
$20$ |
$15$ |
$28949477018021.215$ |
| 32.0.157...000.4 |
$x^{32} + 49 x^{28} - 117649 x^{20} - 5764801 x^{16} - 282475249 x^{12} + 678223072849 x^{4} + 33232930569601$ |
$32$ |
[0,16] |
$2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16}$ |
$4$ |
$61.2910613564$ |
$61.29106135644615$ |
✓ |
✓ |
? |
$C_2^3\times C_4$ (as 32T34) |
not computed |
$60$ |
$15$ |
|
| 32.0.157...000.5 |
$x^{32} + 236 x^{28} + 10506 x^{24} + 137746 x^{20} + 691751 x^{16} + 1498330 x^{12} + 1339275 x^{8} + 393875 x^{4} + 625$ |
$32$ |
[0,16] |
$2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16}$ |
$4$ |
$61.2910613564$ |
$61.29106135644615$ |
✓ |
✓ |
|
$C_2^3\times C_4$ (as 32T34) |
$[4, 4, 4, 160]$ |
$4$ |
$15$ |
$2194214366954.93$ |
| 32.0.157...000.6 |
$x^{32} + 169 x^{28} + 10576 x^{24} + 298319 x^{20} + 3693351 x^{16} + 17806495 x^{12} + 27249400 x^{8} + 913625 x^{4} + 625$ |
$32$ |
[0,16] |
$2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16}$ |
$4$ |
$61.2910613564$ |
$61.29106135644615$ |
✓ |
✓ |
? |
$C_2^3\times C_4$ (as 32T34) |
$[4, 4, 4, 80]$ |
$8$ |
$15$ |
$2196477959693.257$ |
| 32.0.157...000.7 |
$x^{32} + 64 x^{30} + 1857 x^{28} + 32312 x^{26} + 375816 x^{24} + 3083136 x^{22} + 18349567 x^{20} + 80265176 x^{18} + 258638727 x^{16} + 609791200 x^{14} + 1035373423 x^{12} + 1232817768 x^{10} + 987632472 x^{8} + 498130816 x^{6} + 140204289 x^{4} + 16422920 x^{2} + 3481$ |
$32$ |
[0,16] |
$2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16}$ |
$4$ |
$61.2910613564$ |
$61.29106135644615$ |
✓ |
✓ |
? |
$C_2^3\times C_4$ (as 32T34) |
$[4, 4, 20, 160]$ |
$2$ |
$15$ |
$69548659497.34634$ |
| 32.0.157...000.8 |
$x^{32} - 16 x^{30} + 177 x^{28} - 1688 x^{26} + 14936 x^{24} - 91304 x^{22} + 481887 x^{20} - 2274304 x^{18} + 9141847 x^{16} - 23604240 x^{14} + 56712663 x^{12} - 119220552 x^{10} + 177460632 x^{8} - 14027904 x^{6} + 1108809 x^{4} - 87480 x^{2} + 6561$ |
$32$ |
[0,16] |
$2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16}$ |
$4$ |
$61.2910613564$ |
$61.29106135644615$ |
✓ |
✓ |
? |
$C_2^3\times C_4$ (as 32T34) |
$[4, 4, 4, 16]$ |
$10$ |
$15$ |
$14160404248119.463$ |
| 32.0.157...000.9 |
$x^{32} + 16 x^{30} + 177 x^{28} + 1688 x^{26} + 14936 x^{24} + 91304 x^{22} + 481887 x^{20} + 2274304 x^{18} + 9141847 x^{16} + 23604240 x^{14} + 56712663 x^{12} + 119220552 x^{10} + 177460632 x^{8} + 14027904 x^{6} + 1108809 x^{4} + 87480 x^{2} + 6561$ |
$32$ |
[0,16] |
$2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16}$ |
$4$ |
$61.2910613564$ |
$61.29106135644615$ |
✓ |
✓ |
? |
$C_2^3\times C_4$ (as 32T34) |
$[2, 2, 2, 2, 10, 20]$ |
$10$ |
$15$ |
$3297199900542.683$ |
| 32.0.157...000.10 |
$x^{32} - 16 x^{31} + 184 x^{30} - 1520 x^{29} + 10334 x^{28} - 58604 x^{27} + 287602 x^{26} - 1233388 x^{25} + 4688282 x^{24} - 15889444 x^{23} + 48314366 x^{22} - 132207604 x^{21} + 326361852 x^{20} - 727469324 x^{19} + 1464404298 x^{18} - 2660057452 x^{17} + 4353318135 x^{16} - 6403659660 x^{15} + 8440471994 x^{14} - 9930099548 x^{13} + 10378954300 x^{12} - 9583863764 x^{11} + 7766700502 x^{10} - 5480415412 x^{9} + 3335315605 x^{8} - 1730268776 x^{7} + 753847668 x^{6} - 270487448 x^{5} + 77802183 x^{4} - 17245236 x^{3} + 2765566 x^{2} - 285676 x + 14281$ |
$32$ |
[0,16] |
$2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16}$ |
$4$ |
$61.2910613564$ |
$61.29106135644615$ |
✓ |
✓ |
? |
$C_2^3\times C_4$ (as 32T34) |
$[2, 4, 4, 8]$ |
$2$ |
$15$ |
$9542212134222.05$ |
| 32.0.157...000.11 |
$x^{32} + 21 x^{28} + 4390 x^{24} + 27204 x^{20} + 1518849 x^{16} + 776784 x^{12} + 4625920 x^{8} + 147456 x^{4} + 65536$ |
$32$ |
[0,16] |
$2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16}$ |
$4$ |
$61.2910613564$ |
$61.29106135644615$ |
✓ |
✓ |
|
$C_2^3\times C_4$ (as 32T34) |
$[2, 4, 4, 40]$ |
$4$ |
$15$ |
$12132335683441.611$ |
| 32.0.157...000.12 |
$x^{32} + 12 x^{30} + 79 x^{28} + 216 x^{26} - 1983 x^{24} + 7032 x^{22} + 222383 x^{20} + 2112876 x^{18} + 11268881 x^{16} + 8451504 x^{14} + 3558128 x^{12} + 450048 x^{10} - 507648 x^{8} + 221184 x^{6} + 323584 x^{4} + 196608 x^{2} + 65536$ |
$32$ |
[0,16] |
$2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16}$ |
$4$ |
$61.2910613564$ |
$61.29106135644615$ |
✓ |
✓ |
|
$C_2^3\times C_4$ (as 32T34) |
$[2, 4, 20, 40]$ |
$10$ |
$15$ |
$28764339921106.887$ |
| 32.0.157...000.13 |
$x^{32} + 48 x^{30} + 1129 x^{28} + 16884 x^{26} + 177562 x^{24} + 1378608 x^{22} + 8103128 x^{20} + 36449184 x^{18} + 125568321 x^{16} + 328468416 x^{14} + 640424848 x^{12} + 900463872 x^{10} + 864389632 x^{8} + 511819776 x^{6} + 152797184 x^{4} + 4718592 x^{2} + 65536$ |
$32$ |
[0,16] |
$2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16}$ |
$4$ |
$61.2910613564$ |
$61.29106135644615$ |
✓ |
✓ |
? |
$C_2^3\times C_4$ (as 32T34) |
$[2, 4, 8, 40, 80]$ |
$2$ |
$15$ |
$11853022514.42188$ |
| 32.0.157...000.14 |
$x^{32} - 8 x^{31} + 4 x^{30} + 80 x^{29} + 236 x^{28} - 2284 x^{27} + 1252 x^{26} + 10276 x^{25} + 22235 x^{24} - 160544 x^{23} + 129290 x^{22} + 123100 x^{21} + 915936 x^{20} - 3519844 x^{19} + 4137624 x^{18} - 5005052 x^{17} + 15048996 x^{16} - 29635068 x^{15} + 39573806 x^{14} - 54449344 x^{13} + 76409356 x^{12} - 89459536 x^{11} + 92328106 x^{10} - 90665588 x^{9} + 79406215 x^{8} - 60196108 x^{7} + 41428692 x^{6} - 25509340 x^{5} + 13175136 x^{4} - 5760912 x^{3} + 2169322 x^{2} - 594596 x + 78961$ |
$32$ |
[0,16] |
$2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16}$ |
$4$ |
$61.2910613564$ |
$61.29106135644615$ |
✓ |
✓ |
|
$C_2^3\times C_4$ (as 32T34) |
$[2, 2, 2, 4, 20]$ |
$6$ |
$15$ |
$28949477018021.215$ |
| 32.0.157...000.15 |
$x^{32} - 32 x^{30} + 609 x^{28} - 7696 x^{26} + 72552 x^{24} - 517992 x^{22} + 2894263 x^{20} - 12535456 x^{18} + 42422151 x^{16} - 108450824 x^{14} + 207480103 x^{12} - 270080808 x^{10} + 234944832 x^{8} - 85434344 x^{6} + 22080969 x^{4} - 1937848 x^{2} + 130321$ |
$32$ |
[0,16] |
$2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16}$ |
$4$ |
$61.2910613564$ |
$61.29106135644615$ |
✓ |
✓ |
|
$C_2^3\times C_4$ (as 32T34) |
$[2, 4, 4, 80]$ |
$6$ |
$15$ |
$16173035148400.742$ |
| 32.0.157...000.16 |
$x^{32} + 32 x^{30} + 609 x^{28} + 7696 x^{26} + 72552 x^{24} + 517992 x^{22} + 2894263 x^{20} + 12535456 x^{18} + 42422151 x^{16} + 108450824 x^{14} + 207480103 x^{12} + 270080808 x^{10} + 234944832 x^{8} + 85434344 x^{6} + 22080969 x^{4} + 1937848 x^{2} + 130321$ |
$32$ |
[0,16] |
$2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16}$ |
$4$ |
$61.2910613564$ |
$61.29106135644615$ |
✓ |
✓ |
? |
$C_2^3\times C_4$ (as 32T34) |
$[2, 4, 4, 8, 80]$ |
$6$ |
$15$ |
$371817446614.9413$ |
| 32.0.157...000.17 |
$x^{32} - 16 x^{31} + 168 x^{30} - 1280 x^{29} + 7918 x^{28} - 41020 x^{27} + 183466 x^{26} - 718276 x^{25} + 2489518 x^{24} - 7687636 x^{23} + 21235254 x^{22} - 52567076 x^{21} + 116610362 x^{20} - 231450216 x^{19} + 409713728 x^{18} - 643690432 x^{17} + 891439082 x^{16} - 1078291980 x^{15} + 1125846650 x^{14} - 999898964 x^{13} + 743691738 x^{12} - 460538212 x^{11} + 247885630 x^{10} - 137310532 x^{9} + 93434649 x^{8} - 66186296 x^{7} + 36347776 x^{6} - 12030544 x^{5} + 1478892 x^{4} - 229664 x^{3} + 694048 x^{2} - 416736 x + 413596$ |
$32$ |
[0,16] |
$2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16}$ |
$4$ |
$61.2910613564$ |
$61.29106135644615$ |
✓ |
✓ |
|
$C_2^3\times C_4$ (as 32T34) |
$[2, 2, 2, 4, 40]$ |
$6$ |
$15$ |
$18539393548258.133$ |
| 32.0.157...000.18 |
$x^{32} - 16 x^{31} + 160 x^{30} - 1160 x^{29} + 6758 x^{28} - 32900 x^{27} + 137922 x^{26} - 506220 x^{25} + 1645758 x^{24} - 4772316 x^{23} + 12374350 x^{22} - 28669532 x^{21} + 59055416 x^{20} - 107169676 x^{19} + 168599986 x^{18} - 223250556 x^{17} + 233244785 x^{16} - 155507284 x^{15} - 27458046 x^{14} + 274978956 x^{13} - 481999064 x^{12} + 526514548 x^{11} - 347796254 x^{10} + 4847964 x^{9} + 351155703 x^{8} - 567444664 x^{7} + 586114096 x^{6} - 455539424 x^{5} + 280011493 x^{4} - 136583632 x^{3} + 53725576 x^{2} - 15682728 x + 3489481$ |
$32$ |
[0,16] |
$2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16}$ |
$4$ |
$61.2910613564$ |
$61.29106135644615$ |
✓ |
✓ |
? |
$C_2^3\times C_4$ (as 32T34) |
$[2, 4, 4, 8, 8]$ |
$10$ |
$15$ |
$9540601320446.762$ |
| 32.0.157...000.19 |
$x^{32} + 12 x^{30} - 20 x^{29} + 134 x^{28} + 160 x^{27} + 806 x^{26} + 1660 x^{25} - 4368 x^{24} + 14920 x^{23} - 18238 x^{22} + 72540 x^{21} + 51278 x^{20} - 604520 x^{19} + 778586 x^{18} - 4167900 x^{17} + 6106776 x^{16} + 2072120 x^{15} - 7073306 x^{14} + 52233500 x^{13} - 159058772 x^{12} + 187842120 x^{11} - 109316122 x^{10} - 115761180 x^{9} + 821797637 x^{8} - 1733801640 x^{7} + 1884896234 x^{6} - 1217828880 x^{5} + 571687194 x^{4} - 291053480 x^{3} + 149005988 x^{2} - 41560600 x + 4354996$ |
$32$ |
[0,16] |
$2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16}$ |
$4$ |
$61.2910613564$ |
$61.29106135644615$ |
✓ |
✓ |
|
$C_2^3\times C_4$ (as 32T34) |
not computed |
$12$ |
$15$ |
|
| 32.0.157...000.20 |
$x^{32} + 6 x^{30} - 12 x^{29} + 91 x^{28} - 192 x^{27} + 270 x^{26} - 120 x^{25} + 3594 x^{24} + 984 x^{23} + 2994 x^{22} - 74580 x^{21} - 95044 x^{20} - 641568 x^{19} + 624744 x^{18} - 4926492 x^{17} + 18733574 x^{16} + 5648256 x^{15} + 40514058 x^{14} + 25660788 x^{13} - 357832945 x^{12} - 114096144 x^{11} - 92609202 x^{10} + 76338312 x^{9} + 1766268390 x^{8} + 189665064 x^{7} - 790864434 x^{6} + 999542892 x^{5} - 722556206 x^{4} - 481122960 x^{3} + 716221644 x^{2} - 267857268 x + 33573121$ |
$32$ |
[0,16] |
$2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16}$ |
$4$ |
$61.2910613564$ |
$61.29106135644615$ |
✓ |
✓ |
? |
$C_2^3\times C_4$ (as 32T34) |
not computed |
$20$ |
$15$ |
|
| 32.0.157...000.21 |
$x^{32} - 8 x^{30} + 9 x^{28} + 296 x^{26} - 2368 x^{24} + 15632 x^{22} - 16857 x^{20} - 578384 x^{18} + 4620511 x^{16} - 5205456 x^{14} - 1365417 x^{12} + 11395728 x^{10} - 15536448 x^{8} + 17478504 x^{6} + 4782969 x^{4} - 38263752 x^{2} + 43046721$ |
$32$ |
[0,16] |
$2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16}$ |
$4$ |
$61.2910613564$ |
$61.29106135644615$ |
✓ |
✓ |
|
$C_2^3\times C_4$ (as 32T34) |
not computed |
$30$ |
$15$ |
|
| 32.0.157...000.22 |
$x^{32} + 8 x^{30} + 9 x^{28} - 296 x^{26} - 2368 x^{24} - 15632 x^{22} - 16857 x^{20} + 578384 x^{18} + 4620511 x^{16} + 5205456 x^{14} - 1365417 x^{12} - 11395728 x^{10} - 15536448 x^{8} - 17478504 x^{6} + 4782969 x^{4} + 38263752 x^{2} + 43046721$ |
$32$ |
[0,16] |
$2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16}$ |
$4$ |
$61.2910613564$ |
$61.29106135644615$ |
✓ |
✓ |
? |
$C_2^3\times C_4$ (as 32T34) |
not computed |
$30$ |
$15$ |
|
| 32.0.157...000.23 |
$x^{32} - 119 x^{28} + 9880 x^{24} - 412321 x^{20} + 12533799 x^{16} - 204396521 x^{12} + 2295298360 x^{8} - 710952319 x^{4} + 214358881$ |
$32$ |
[0,16] |
$2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16}$ |
$4$ |
$61.2910613564$ |
$61.29106135644615$ |
✓ |
✓ |
? |
$C_2^3\times C_4$ (as 32T34) |
not computed |
$24$ |
$15$ |
|
| 32.0.157...000.24 |
$x^{32} - 84 x^{28} + 5930 x^{24} - 162606 x^{20} + 2174199 x^{16} - 17206446 x^{12} + 89094515 x^{8} - 280197189 x^{4} + 519885601$ |
$32$ |
[0,16] |
$2^{64}\cdot 3^{16}\cdot 5^{24}\cdot 7^{16}$ |
$4$ |
$61.2910613564$ |
$61.29106135644615$ |
✓ |
✓ |
|
$C_2^3\times C_4$ (as 32T34) |
$[2, 2, 2, 2, 2, 40]$ |
$8$ |
$15$ |
$17282058402401.408$ |
| 32.0.674...000.1 |
$x^{32} - 49 x^{28} + 1105 x^{24} + 9359 x^{20} - 1890671 x^{16} + 12129264 x^{12} + 1855975680 x^{8} - 106662334464 x^{4} + 2821109907456$ |
$32$ |
[0,16] |
$2^{64}\cdot 5^{24}\cdot 23^{16}$ |
$3$ |
$64.1433167103$ |
$64.14331671031373$ |
✓ |
✓ |
? |
$C_2^3\times C_4$ (as 32T34) |
not computed |
$40$ |
$15$ |
|
