Learn more

Refine search


Results (1-50 of 267 matches)

Next   displayed columns for results
Label Polynomial Discriminant Galois group Class group Regulator
16.0.110...000.1 $x^{16} - 7 x^{12} + 48 x^{8} - 7 x^{4} + 1$ $2^{32}\cdot 3^{8}\cdot 5^{8}$ $C_2^4$ (as 16T3) $[2]$ $7598.71222803$
16.0.162...856.1 $x^{16} - x^{12} - 15 x^{8} - 16 x^{4} + 256$ $2^{32}\cdot 3^{8}\cdot 7^{8}$ $C_2^4$ (as 16T3) $[4]$ $16359.7684053$
16.0.968...000.1 $x^{16} + 9 x^{14} + 44 x^{12} + 261 x^{10} + 1029 x^{8} + 1044 x^{6} + 704 x^{4} + 576 x^{2} + 256$ $2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8}$ $C_2^4$ (as 16T3) $[2, 2]$ $31712.813565$
16.0.604...336.1 $x^{16} - 7 x^{12} - 32 x^{8} - 567 x^{4} + 6561$ $2^{32}\cdot 3^{8}\cdot 11^{8}$ $C_2^4$ (as 16T3) $[4]$ $113529.247833$
16.0.967...000.1 $x^{16} + 7 x^{12} + 753 x^{8} + 112 x^{4} + 256$ $2^{32}\cdot 5^{8}\cdot 7^{8}$ $C_2^4$ (as 16T3) $[4]$ $57279.6275203$
16.0.229...376.1 $x^{16} - 31 x^{12} + 880 x^{8} - 2511 x^{4} + 6561$ $2^{32}\cdot 3^{8}\cdot 13^{8}$ $C_2^4$ (as 16T3) $[12]$ $68660.2329617$
16.0.360...000.1 $x^{16} - 28 x^{14} + 308 x^{12} - 1710 x^{10} + 5156 x^{8} - 7740 x^{6} + 9473 x^{4} + 368 x^{2} + 256$ $2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 11^{8}$ $C_2^4$ (as 16T3) $[2, 4]$ $101728.538468$
16.0.137...000.1 $x^{16} - 4 x^{14} + 56 x^{12} - 294 x^{10} + 1544 x^{8} - 12936 x^{6} + 63833 x^{4} - 109540 x^{2} + 59536$ $2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 13^{8}$ $C_2^4$ (as 16T3) $[4, 4]$ $115751.484499$
16.0.196...696.1 $x^{16} - 49 x^{12} + 2145 x^{8} - 12544 x^{4} + 65536$ $2^{32}\cdot 3^{8}\cdot 17^{8}$ $C_2^4$ (as 16T3) $[4, 4]$ $148181.522325$
16.0.247...000.1 $x^{16} - 2 x^{15} - 23 x^{14} + 18 x^{13} + 258 x^{12} - 130 x^{11} - 975 x^{10} + 766 x^{9} - 1053 x^{8} + 1020 x^{7} + 11476 x^{6} - 11176 x^{5} - 9104 x^{4} + 6000 x^{3} + 14880 x^{2} - 14400 x + 3600$ $2^{24}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8}$ $C_2^4$ (as 16T3) $[2, 4]$ $144194.519964$
16.0.247...000.2 $x^{16} - 4 x^{15} - 10 x^{14} + 24 x^{13} + 261 x^{12} - 608 x^{11} - 466 x^{10} + 64 x^{9} + 6713 x^{8} - 9704 x^{7} + 6186 x^{6} - 11232 x^{5} + 15880 x^{4} - 10608 x^{3} + 6552 x^{2} - 4320 x + 1296$ $2^{24}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8}$ $C_2^4$ (as 16T3) $[2, 2]$ $254690.329412$
16.0.359...000.1 $x^{16} - 8 x^{15} + 52 x^{14} - 224 x^{13} + 840 x^{12} - 2492 x^{11} + 6314 x^{10} - 13112 x^{9} + 22557 x^{8} - 31532 x^{7} + 34622 x^{6} - 28952 x^{5} + 19586 x^{4} - 11256 x^{3} + 12652 x^{2} - 9048 x + 14436$ $2^{32}\cdot 5^{8}\cdot 11^{8}$ $C_2^4$ (as 16T3) $[12]$ $136789.59927$
16.0.478...296.1 $x^{16} - 31 x^{12} + 336 x^{8} - 19375 x^{4} + 390625$ $2^{32}\cdot 3^{8}\cdot 19^{8}$ $C_2^4$ (as 16T3) $[12]$ $372074.174823$
16.0.531...976.1 $x^{16} + 20 x^{14} + 92 x^{12} - 222 x^{10} - 868 x^{8} + 5004 x^{6} - 799 x^{4} - 41752 x^{2} + 71824$ $2^{16}\cdot 3^{8}\cdot 7^{8}\cdot 11^{8}$ $C_2^4$ (as 16T3) $[2, 12]$ $183925.11064$
16.0.117...000.1 $x^{16} + 28 x^{14} + 392 x^{12} + 3498 x^{10} + 21368 x^{8} + 89784 x^{6} + 270713 x^{4} + 429916 x^{2} + 364816$ $2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 17^{8}$ $C_2^4$ (as 16T3) $[2, 12]$ $197754.791017$
16.0.136...000.1 $x^{16} + 28 x^{14} - 12 x^{13} + 344 x^{12} - 96 x^{11} + 2102 x^{10} + 468 x^{9} + 5861 x^{8} + 7896 x^{7} + 8258 x^{6} + 25200 x^{5} + 21946 x^{4} + 32952 x^{3} + 43108 x^{2} + 36264 x + 29124$ $2^{32}\cdot 5^{8}\cdot 13^{8}$ $C_2^4$ (as 16T3) $[2, 24]$ $57386.4139318$
16.0.202...616.1 $x^{16} + 32 x^{14} + 428 x^{12} + 2610 x^{10} + 5324 x^{8} - 4644 x^{6} + 401 x^{4} + 13100 x^{2} + 10000$ $2^{16}\cdot 3^{8}\cdot 7^{8}\cdot 13^{8}$ $C_2^4$ (as 16T3) $[2, 4]$ $801785.836569$
16.0.220...736.1 $x^{16} - 49 x^{12} + 1105 x^{8} - 63504 x^{4} + 1679616$ $2^{32}\cdot 3^{8}\cdot 23^{8}$ $C_2^4$ (as 16T3) $[4, 12]$ $207978.296439$
16.0.285...000.1 $x^{16} - 44 x^{14} + 788 x^{12} - 7446 x^{10} + 40268 x^{8} - 124812 x^{6} + 226937 x^{4} - 166712 x^{2} + 59536$ $2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 19^{8}$ $C_2^4$ (as 16T3) $[4, 8]$ $274735.259425$
16.0.316...625.1 $x^{16} - 2 x^{15} - 18 x^{14} + 36 x^{13} + 272 x^{12} - 458 x^{11} - 1374 x^{10} - 736 x^{9} + 11490 x^{8} - 7916 x^{7} + 4680 x^{6} - 15094 x^{5} + 1565 x^{4} + 10890 x^{3} - 2640 x^{2} + 968 x + 1936$ $3^{8}\cdot 5^{8}\cdot 7^{8}\cdot 11^{8}$ $C_2^4$ (as 16T3) $[2, 12]$ $442809.445079$
16.0.530...576.1 $x^{16} - 8 x^{15} + 52 x^{14} - 224 x^{13} + 828 x^{12} - 2420 x^{11} + 6182 x^{10} - 13112 x^{9} + 24453 x^{8} - 38324 x^{7} + 50138 x^{6} - 52520 x^{5} + 67400 x^{4} - 75132 x^{3} + 37318 x^{2} - 4632 x + 5769$ $2^{32}\cdot 7^{8}\cdot 11^{8}$ $C_2^4$ (as 16T3) $[4, 4]$ $442401.172594$
16.0.921...000.1 $x^{16} - 4 x^{15} - 14 x^{14} + 32 x^{13} + 383 x^{12} - 880 x^{11} - 1206 x^{10} + 632 x^{9} + 14222 x^{8} - 22724 x^{7} + 16428 x^{6} - 26060 x^{5} + 32489 x^{4} - 17792 x^{3} + 11176 x^{2} - 10148 x + 3481$ $2^{24}\cdot 3^{8}\cdot 5^{8}\cdot 11^{8}$ $C_2^4$ (as 16T3) $[4, 4]$ $381719.802089$
16.0.921...000.2 $x^{16} - 8 x^{15} + 64 x^{14} - 308 x^{13} + 1364 x^{12} - 4544 x^{11} + 12774 x^{10} - 28604 x^{9} + 50171 x^{8} - 68176 x^{7} + 60630 x^{6} - 24820 x^{5} - 5062 x^{4} + 9920 x^{3} + 2902 x^{2} - 6304 x + 17191$ $2^{24}\cdot 3^{8}\cdot 5^{8}\cdot 11^{8}$ $C_2^4$ (as 16T3) $[2, 12]$ $405538.035702$
16.0.117...000.1 $x^{16} + 36 x^{14} - 12 x^{13} + 564 x^{12} - 120 x^{11} + 4590 x^{10} + 900 x^{9} + 19573 x^{8} + 18072 x^{7} + 48258 x^{6} + 83100 x^{5} + 110460 x^{4} + 160680 x^{3} + 209970 x^{2} + 175032 x + 168121$ $2^{32}\cdot 5^{8}\cdot 17^{8}$ $C_2^4$ (as 16T3) $[4, 12]$ $202451.134101$
16.0.120...625.1 $x^{16} - 28 x^{14} + 392 x^{12} - 1818 x^{10} - 2632 x^{8} + 31416 x^{6} - 9127 x^{4} - 105196 x^{2} + 132496$ $3^{8}\cdot 5^{8}\cdot 7^{8}\cdot 13^{8}$ $C_2^4$ (as 16T3) $[2, 20]$ $593389.965104$
16.0.131...000.1 $x^{16} - 52 x^{14} + 1112 x^{12} - 12702 x^{10} + 84248 x^{8} - 327816 x^{6} + 743633 x^{4} - 790564 x^{2} + 364816$ $2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 23^{8}$ $C_2^4$ (as 16T3) $[2, 12]$ $612241.341839$
16.0.140...816.1 $x^{16} - 127 x^{12} + 13728 x^{8} - 304927 x^{4} + 5764801$ $2^{32}\cdot 3^{8}\cdot 29^{8}$ $C_2^4$ (as 16T3) $[3, 3, 6]$ $380862.253279$
16.0.172...736.1 $x^{16} + 40 x^{14} + 668 x^{12} + 5394 x^{10} + 19172 x^{8} + 20988 x^{6} + 32129 x^{4} + 79084 x^{2} + 71824$ $2^{16}\cdot 3^{8}\cdot 7^{8}\cdot 17^{8}$ $C_2^4$ (as 16T3) $[2, 20]$ $454890.966834$
16.0.201...216.1 $x^{16} + 28 x^{14} - 12 x^{13} + 332 x^{12} - 96 x^{11} + 2186 x^{10} + 504 x^{9} + 7133 x^{8} + 11064 x^{7} + 13478 x^{6} + 25992 x^{5} + 65776 x^{4} + 21360 x^{3} + 40090 x^{2} + 65676 x + 22689$ $2^{32}\cdot 7^{8}\cdot 13^{8}$ $C_2^4$ (as 16T3) $[3, 12]$ $377056.097397$
16.0.240...696.1 $x^{16} - 97 x^{12} + 5313 x^{8} - 397312 x^{4} + 16777216$ $2^{32}\cdot 3^{8}\cdot 31^{8}$ $C_2^4$ (as 16T3) $[3, 24]$ $427579.56412$
16.0.284...000.1 $x^{16} - 8 x^{15} + 68 x^{14} - 336 x^{13} + 1624 x^{12} - 5740 x^{11} + 19026 x^{10} - 49568 x^{9} + 118149 x^{8} - 226316 x^{7} + 393078 x^{6} - 544768 x^{5} + 716170 x^{4} - 714504 x^{3} + 801260 x^{2} - 508136 x + 556804$ $2^{32}\cdot 5^{8}\cdot 19^{8}$ $C_2^4$ (as 16T3) $[24]$ $498581.960646$
16.0.316...000.1 $x^{16} - 40 x^{14} + 588 x^{12} - 3926 x^{10} + 12244 x^{8} - 11204 x^{6} + 21321 x^{4} - 5764 x^{2} + 1936$ $2^{16}\cdot 5^{8}\cdot 7^{8}\cdot 11^{8}$ $C_2^4$ (as 16T3) $[4, 4]$ $696645.837098$
16.0.350...000.1 $x^{16} - 4 x^{15} + 34 x^{14} - 64 x^{13} + 539 x^{12} - 1000 x^{11} + 4842 x^{10} - 4648 x^{9} + 19562 x^{8} - 22604 x^{7} + 45816 x^{6} - 21740 x^{5} + 19433 x^{4} + 3616 x^{3} + 4684 x^{2} - 68 x + 1$ $2^{24}\cdot 3^{8}\cdot 5^{8}\cdot 13^{8}$ $C_2^4$ (as 16T3) $[4, 8, 8]$ $57386.4139318$
16.0.350...000.2 $x^{16} - 44 x^{14} + 722 x^{12} - 5280 x^{10} + 21761 x^{8} - 48180 x^{6} + 53372 x^{4} - 8624 x^{2} + 38416$ $2^{24}\cdot 3^{8}\cdot 5^{8}\cdot 13^{8}$ $C_2^4$ (as 16T3) $[2, 12]$ $546536.633433$
16.0.420...336.1 $x^{16} - 32 x^{14} + 524 x^{12} - 4686 x^{10} + 26732 x^{8} - 98244 x^{6} + 292049 x^{4} - 672308 x^{2} + 1449616$ $2^{16}\cdot 3^{8}\cdot 7^{8}\cdot 19^{8}$ $C_2^4$ (as 16T3) $[4, 8]$ $925240.331074$
16.0.634...000.1 $x^{16} + 10 x^{14} + 53 x^{12} + 810 x^{10} + 3788 x^{8} - 10410 x^{6} + 23213 x^{4} - 20570 x^{2} + 14641$ $2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8}$ $C_2^4$ (as 16T3) $[2, 2, 2, 4]$ $968872.10852$
16.16.634...000.1 $x^{16} - 44 x^{14} - 36 x^{13} + 644 x^{12} + 816 x^{11} - 3894 x^{10} - 5844 x^{9} + 10061 x^{8} + 15576 x^{7} - 13122 x^{6} - 17952 x^{5} + 9374 x^{4} + 8568 x^{3} - 3164 x^{2} - 1176 x + 196$ $2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8}$ $C_2^4$ (as 16T3) trivial $100622555.559$
16.0.634...000.2 $x^{16} + 12 x^{14} + 102 x^{12} - 68 x^{10} + 2163 x^{8} - 7284 x^{6} + 29938 x^{4} - 48336 x^{2} + 62001$ $2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8}$ $C_2^4$ (as 16T3) $[2, 2, 2, 8]$ $829665.224905$
16.0.634...000.3 $x^{16} + 161 x^{12} + 576 x^{8} + 161 x^{4} + 1$ $2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8}$ $C_2^4$ (as 16T3) $[2, 2, 2, 16]$ $254690.329412$
16.0.634...000.4 $x^{16} + 17 x^{12} + 208 x^{8} + 1377 x^{4} + 6561$ $2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8}$ $C_2^4$ (as 16T3) $[2, 2, 2, 8]$ $915850.410864$
16.0.634...000.5 $x^{16} + 17 x^{12} + 2176 x^{8} + 3825 x^{4} + 50625$ $2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8}$ $C_2^4$ (as 16T3) $[2, 2, 2, 8]$ $452291.762913$
16.0.634...000.6 $x^{16} + 44 x^{14} - 12 x^{13} + 840 x^{12} - 144 x^{11} + 8542 x^{10} + 1452 x^{9} + 48381 x^{8} + 34392 x^{7} + 164762 x^{6} + 204360 x^{5} + 422866 x^{4} + 517656 x^{3} + 817764 x^{2} + 628056 x + 736164$ $2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8}$ $C_2^4$ (as 16T3) $[2, 2, 2, 8]$ $288389.039928$
16.0.634...000.7 $x^{16} + 6 x^{14} - 20 x^{13} + 119 x^{12} + 280 x^{11} + 104 x^{10} - 140 x^{9} - 6396 x^{8} - 480 x^{7} - 11434 x^{6} - 62260 x^{5} + 465079 x^{4} - 481080 x^{3} - 40716 x^{2} - 171900 x + 365481$ $2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8}$ $C_2^4$ (as 16T3) $[2, 2, 2, 4]$ $829665.224905$
16.0.634...000.8 $x^{16} - 12 x^{14} + 102 x^{12} - 212 x^{10} - 3297 x^{8} + 10644 x^{6} + 51358 x^{4} + 15576 x^{2} + 1521$ $2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8}$ $C_2^4$ (as 16T3) $[2, 2, 2, 8]$ $2176291.10934$
16.0.634...000.9 $x^{16} - 12 x^{14} + 134 x^{12} + 24 x^{10} - 1101 x^{8} - 1272 x^{6} + 11246 x^{4} - 16020 x^{2} + 7225$ $2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8}$ $C_2^4$ (as 16T3) $[2, 2, 2, 8]$ $472078.871668$
16.0.634...000.10 $x^{16} - 127 x^{12} + 9568 x^{8} - 833247 x^{4} + 43046721$ $2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8}$ $C_2^4$ (as 16T3) $[2, 2, 2, 8]$ $751181.293121$
16.0.634...000.11 $x^{16} - 20 x^{14} + 182 x^{12} - 468 x^{10} + 1859 x^{8} + 2652 x^{6} + 17954 x^{4} + 19168 x^{2} + 28561$ $2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8}$ $C_2^4$ (as 16T3) $[2, 2, 4, 8]$ $32719.5368105$
16.0.634...000.12 $x^{16} - 28 x^{14} - 12 x^{13} + 360 x^{12} + 72 x^{11} - 2630 x^{10} + 840 x^{9} + 13881 x^{8} - 16152 x^{7} - 37930 x^{6} + 48084 x^{5} + 76402 x^{4} - 60288 x^{3} + 51360 x^{2} + 169920 x + 67104$ $2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8}$ $C_2^4$ (as 16T3) $[2, 2, 4, 8]$ $968872.10852$
16.0.634...000.13 $x^{16} - 4 x^{14} + 78 x^{12} - 76 x^{10} - 8837 x^{8} + 7668 x^{6} + 183402 x^{4} + 648 x^{2} + 81$ $2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8}$ $C_2^4$ (as 16T3) $[2, 2, 2, 4]$ $316523.196645$
16.0.634...000.14 $x^{16} - 4 x^{15} + 30 x^{14} - 56 x^{13} + 383 x^{12} - 660 x^{11} + 2958 x^{10} - 2628 x^{9} + 10176 x^{8} - 7192 x^{7} + 25000 x^{6} - 8448 x^{5} + 18363 x^{4} - 11064 x^{3} + 9876 x^{2} - 3100 x + 961$ $2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 7^{8}$ $C_2^4$ (as 16T3) $[2, 2, 4, 8]$ $114559.255041$
Next   displayed columns for results