Learn more

Refine search


Results (1-50 of 577 matches)

Next   displayed columns for results
Label Polynomial Discriminant Galois group Class group Regulator
16.0.67658452310163456.1 $x^{16} + 2 x^{14} - 8 x^{13} + 3 x^{12} - 16 x^{11} + 34 x^{10} - 32 x^{9} + 48 x^{8} - 64 x^{7} + 68 x^{6} - 52 x^{5} + 31 x^{4} - 16 x^{3} + 8 x^{2} - 4 x + 1$ $2^{32}\cdot 3^{8}\cdot 7^{4}$ $C_2^2 \times D_4$ (as 16T25) trivial $712.935154744$
16.0.281792804290560000.1 $x^{16} + 2 x^{14} - 4 x^{12} - 12 x^{11} + 36 x^{10} - 52 x^{9} + 83 x^{8} - 88 x^{7} + 60 x^{6} - 56 x^{5} + 44 x^{4} - 16 x^{3} + 6 x^{2} - 4 x + 1$ $2^{36}\cdot 3^{8}\cdot 5^{4}$ $C_2^2 \times D_4$ (as 16T25) trivial $1291.96804794$
16.0.412572844761808896.1 $x^{16} - 2 x^{14} - x^{12} - 18 x^{10} + 29 x^{8} + 36 x^{6} - 4 x^{4} + 16 x^{2} + 16$ $2^{32}\cdot 3^{8}\cdot 11^{4}$ $C_2^2 \times D_4$ (as 16T25) trivial $2415.16900561$
16.0.634562281237118976.2 $x^{16} - x^{14} - 3 x^{12} - 2 x^{10} + 14 x^{8} - 2 x^{6} - 3 x^{4} - x^{2} + 1$ $2^{24}\cdot 3^{8}\cdot 7^{8}$ $C_2^2 \times D_4$ (as 16T25) trivial $1530.6520597$
16.0.108...296.2 $x^{16} - 4 x^{15} + 40 x^{13} - 96 x^{12} + 48 x^{11} + 226 x^{10} - 692 x^{9} + 1143 x^{8} - 1312 x^{7} + 1078 x^{6} - 624 x^{5} + 258 x^{4} - 88 x^{3} + 30 x^{2} - 8 x + 1$ $2^{36}\cdot 3^{8}\cdot 7^{4}$ $C_2^2 \times D_4$ (as 16T25) trivial $3323.42469139$
16.0.142...000.1 $x^{16} - 4 x^{15} + 8 x^{14} - 20 x^{13} + 35 x^{12} + 16 x^{11} - 144 x^{10} + 132 x^{9} + 136 x^{8} - 288 x^{7} + 54 x^{6} + 172 x^{5} - 97 x^{4} - 20 x^{3} + 26 x^{2} - 4 x + 1$ $2^{32}\cdot 3^{12}\cdot 5^{4}$ $C_2^2 \times D_4$ (as 16T25) trivial $4466.59489456$
16.0.235...176.2 $x^{16} - 4 x^{15} + 2 x^{14} + 41 x^{12} - 92 x^{11} + 66 x^{10} - 104 x^{9} + 291 x^{8} - 388 x^{7} + 366 x^{6} - 344 x^{5} + 286 x^{4} - 184 x^{3} + 84 x^{2} - 24 x + 4$ $2^{32}\cdot 3^{8}\cdot 17^{4}$ $C_2^2 \times D_4$ (as 16T25) trivial $4536.17900444$
16.0.348...000.5 $x^{16} - 5 x^{14} + 13 x^{12} - 50 x^{10} + 118 x^{8} - 50 x^{6} + 13 x^{4} - 5 x^{2} + 1$ $2^{24}\cdot 3^{12}\cdot 5^{8}$ $C_2^2 \times D_4$ (as 16T25) $[2]$ $2195.06635613$
16.0.101...616.4 $x^{16} + 2 x^{14} - 6 x^{12} + 16 x^{10} + 95 x^{8} + 16 x^{6} - 6 x^{4} + 2 x^{2} + 1$ $2^{28}\cdot 3^{8}\cdot 7^{8}$ $C_2^2 \times D_4$ (as 16T25) trivial $3272.05924688$
16.0.110...000.6 $x^{16} - 4 x^{14} + 9 x^{12} - 16 x^{10} + 24 x^{8} - 34 x^{6} + 29 x^{4} - 6 x^{2} + 1$ $2^{32}\cdot 3^{8}\cdot 5^{8}$ $C_2^2 \times D_4$ (as 16T25) trivial $3309.02321892$
16.0.110...000.9 $x^{16} + 4 x^{14} + 9 x^{12} + 16 x^{10} + 24 x^{8} + 34 x^{6} + 29 x^{4} + 6 x^{2} + 1$ $2^{32}\cdot 3^{8}\cdot 5^{8}$ $C_2^2 \times D_4$ (as 16T25) $[2]$ $1497.89124929$
16.0.128...656.1 $x^{16} - 4 x^{14} + 26 x^{12} + 12 x^{10} + 35 x^{8} + 180 x^{6} + 686 x^{4} + 632 x^{2} + 169$ $2^{36}\cdot 3^{8}\cdot 13^{4}$ $C_2^2 \times D_4$ (as 16T25) trivial $11347.4195205$
16.0.320...416.2 $x^{16} - 4 x^{14} + 18 x^{12} + 4 x^{10} - 11 x^{8} - 8 x^{6} + 60 x^{4} + 8 x^{2} + 4$ $2^{36}\cdot 3^{4}\cdot 7^{8}$ $C_2^2 \times D_4$ (as 16T25) $[2]$ $10362.7919914$
16.0.334...576.1 $x^{16} - 8 x^{14} + 49 x^{12} - 104 x^{10} + 160 x^{8} - 104 x^{6} + 49 x^{4} - 8 x^{2} + 1$ $2^{32}\cdot 3^{12}\cdot 11^{4}$ $C_2^2 \times D_4$ (as 16T25) $[2]$ $9987.741474015005$
16.0.557...000.1 $x^{16} - 6 x^{15} + 21 x^{14} - 54 x^{13} + 115 x^{12} - 252 x^{11} + 570 x^{10} - 1164 x^{9} + 1938 x^{8} - 2496 x^{7} + 2508 x^{6} - 2016 x^{5} + 1324 x^{4} - 720 x^{3} + 312 x^{2} - 96 x + 16$ $2^{28}\cdot 3^{12}\cdot 5^{8}$ $C_2^2 \times D_4$ (as 16T25) $[2]$ $5178.51305794$
16.0.796...616.1 $x^{16} - 10 x^{14} + 81 x^{12} - 170 x^{10} + 260 x^{8} - 170 x^{6} + 81 x^{4} - 10 x^{2} + 1$ $2^{32}\cdot 3^{8}\cdot 41^{4}$ $C_2^2 \times D_4$ (as 16T25) $[3]$ $11824.322709141994$
16.0.118...000.1 $x^{16} - 7 x^{14} + 36 x^{12} - 77 x^{10} + 119 x^{8} - 77 x^{6} + 36 x^{4} - 7 x^{2} + 1$ $2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 29^{4}$ $C_2^2 \times D_4$ (as 16T25) trivial $12802.568165426543$
16.0.140...000.3 $x^{16} - 4 x^{15} + 2 x^{14} + 8 x^{13} + 2 x^{12} + 52 x^{11} + 240 x^{10} + 484 x^{9} + 639 x^{8} + 484 x^{7} + 240 x^{6} + 52 x^{5} + 2 x^{4} + 8 x^{3} + 2 x^{2} - 4 x + 1$ $2^{32}\cdot 5^{8}\cdot 17^{4}$ $C_2^2 \times D_4$ (as 16T25) trivial $13509.797993870512$
16.8.162...856.1 $x^{16} - 10 x^{14} + 19 x^{12} + 10 x^{10} - 51 x^{8} + 20 x^{6} + 76 x^{4} - 80 x^{2} + 16$ $2^{32}\cdot 3^{8}\cdot 7^{8}$ $C_2^2 \times D_4$ (as 16T25) trivial $17122.1735406$
16.0.162...856.11 $x^{16} + 27 x^{12} + 227 x^{8} - 39 x^{4} + 16$ $2^{32}\cdot 3^{8}\cdot 7^{8}$ $C_2^2 \times D_4$ (as 16T25) $[4]$ $5538.01231421$
16.0.162...856.12 $x^{16} - 4 x^{13} + 7 x^{12} - 48 x^{11} + 8 x^{10} + 120 x^{9} - 267 x^{8} + 244 x^{7} + 616 x^{6} - 1680 x^{5} + 2108 x^{4} - 512 x^{3} + 32 x^{2} + 32 x + 16$ $2^{32}\cdot 3^{8}\cdot 7^{8}$ $C_2^2 \times D_4$ (as 16T25) $[4]$ $4819.71504316$
16.0.162...856.13 $x^{16} - 8 x^{15} + 32 x^{14} - 84 x^{13} + 176 x^{12} - 328 x^{11} + 498 x^{10} - 532 x^{9} + 366 x^{8} - 164 x^{7} + 72 x^{6} - 52 x^{5} + 85 x^{4} - 116 x^{3} + 90 x^{2} - 36 x + 22$ $2^{32}\cdot 3^{8}\cdot 7^{8}$ $C_2^2 \times D_4$ (as 16T25) $[4]$ $3907.05547999$
16.0.162...856.14 $x^{16} - 8 x^{14} + 41 x^{12} - 144 x^{10} + 320 x^{8} - 438 x^{6} + 365 x^{4} - 182 x^{2} + 49$ $2^{32}\cdot 3^{8}\cdot 7^{8}$ $C_2^2 \times D_4$ (as 16T25) $[2]$ $11233.812692$
16.0.162...856.15 $x^{16} - 4 x^{15} + 10 x^{14} - 24 x^{13} + 50 x^{12} - 108 x^{11} + 136 x^{10} - 120 x^{9} + 95 x^{8} - 28 x^{7} + 184 x^{6} + 72 x^{5} + 226 x^{4} + 56 x^{3} + 126 x^{2} + 49$ $2^{32}\cdot 3^{8}\cdot 7^{8}$ $C_2^2 \times D_4$ (as 16T25) $[4]$ $4446.01541964$
16.0.162...856.16 $x^{16} + 8 x^{14} + 41 x^{12} + 144 x^{10} + 320 x^{8} + 438 x^{6} + 365 x^{4} + 182 x^{2} + 49$ $2^{32}\cdot 3^{8}\cdot 7^{8}$ $C_2^2 \times D_4$ (as 16T25) trivial $15253.0597214$
16.8.176...000.2 $x^{16} - 8 x^{14} - 8 x^{12} + 32 x^{10} + 408 x^{8} - 1184 x^{6} + 928 x^{4} - 256 x^{2} + 16$ $2^{36}\cdot 3^{8}\cdot 5^{8}$ $C_2^2 \times D_4$ (as 16T25) trivial $14411.974453$
16.0.176...000.4 $x^{16} - 8 x^{15} + 36 x^{14} - 112 x^{13} + 284 x^{12} - 612 x^{11} + 1090 x^{10} - 1556 x^{9} + 1775 x^{8} - 1636 x^{7} + 1254 x^{6} - 824 x^{5} + 484 x^{4} - 252 x^{3} + 116 x^{2} - 40 x + 10$ $2^{36}\cdot 3^{8}\cdot 5^{8}$ $C_2^2 \times D_4$ (as 16T25) $[4]$ $8352.98291929$
16.0.176...000.5 $x^{16} + 8 x^{14} - 8 x^{12} - 32 x^{10} + 408 x^{8} + 1184 x^{6} + 928 x^{4} + 256 x^{2} + 16$ $2^{36}\cdot 3^{8}\cdot 5^{8}$ $C_2^2 \times D_4$ (as 16T25) $[4]$ $1269.85126799$
16.0.176...000.7 $x^{16} - 8 x^{15} + 44 x^{14} - 168 x^{13} + 532 x^{12} - 1372 x^{11} + 2998 x^{10} - 5464 x^{9} + 8367 x^{8} - 10628 x^{7} + 11082 x^{6} - 9292 x^{5} + 6080 x^{4} - 2972 x^{3} + 992 x^{2} - 192 x + 34$ $2^{36}\cdot 3^{8}\cdot 5^{8}$ $C_2^2 \times D_4$ (as 16T25) $[4]$ $10910.5936005$
16.0.176...000.10 $x^{16} + 2 x^{14} - 24 x^{13} + 8 x^{12} - 36 x^{11} + 228 x^{10} - 136 x^{9} + 227 x^{8} - 976 x^{7} + 708 x^{6} - 572 x^{5} + 1736 x^{4} - 1240 x^{3} + 450 x^{2} - 1000 x + 625$ $2^{36}\cdot 3^{8}\cdot 5^{8}$ $C_2^2 \times D_4$ (as 16T25) $[4]$ $7183.55685667$
16.0.199...000.2 $x^{16} - 4 x^{15} - x^{14} + 4 x^{13} + 5 x^{12} + 88 x^{11} + 246 x^{10} + 432 x^{9} + 574 x^{8} + 432 x^{7} + 246 x^{6} + 88 x^{5} + 5 x^{4} + 4 x^{3} - x^{2} - 4 x + 1$ $2^{16}\cdot 3^{12}\cdot 5^{8}\cdot 11^{4}$ $C_2^2 \times D_4$ (as 16T25) $[2]$ $20735.449792905503$
16.0.277...776.2 $x^{16} - 4 x^{15} + 4 x^{14} - 24 x^{13} + 104 x^{12} - 196 x^{11} + 312 x^{10} - 236 x^{9} + 31 x^{8} + 236 x^{7} + 312 x^{6} + 196 x^{5} + 104 x^{4} + 24 x^{3} + 4 x^{2} + 4 x + 1$ $2^{44}\cdot 3^{8}\cdot 7^{4}$ $C_2^2 \times D_4$ (as 16T25) $[2]$ $27537.240161576334$
16.0.393...000.2 $x^{16} - 8 x^{15} + 42 x^{14} - 148 x^{13} + 402 x^{12} - 928 x^{11} + 1834 x^{10} - 2940 x^{9} + 3631 x^{8} - 3012 x^{7} + 1442 x^{6} - 276 x^{5} - 56 x^{4} + 48 x^{3} - 4 x^{2} - 4 x + 1$ $2^{36}\cdot 5^{8}\cdot 11^{4}$ $C_2^2 \times D_4$ (as 16T25) $[2]$ $8683.652966690726$
16.0.474...000.1 $x^{16} + 5 x^{14} + 12 x^{12} + 25 x^{10} + 53 x^{8} + 100 x^{6} + 192 x^{4} + 320 x^{2} + 256$ $2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 41^{4}$ $C_2^2 \times D_4$ (as 16T25) $[2]$ $27345.829328280808$
16.0.629...000.4 $x^{16} - 2 x^{15} + 2 x^{14} - 16 x^{13} + 2 x^{12} + 62 x^{11} + 106 x^{9} + 219 x^{8} - 106 x^{7} - 62 x^{5} + 2 x^{4} + 16 x^{3} + 2 x^{2} + 2 x + 1$ $2^{24}\cdot 3^{8}\cdot 5^{8}\cdot 11^{4}$ $C_2^2 \times D_4$ (as 16T25) $[2]$ $21958.816796895455$
16.0.767...616.8 $x^{16} - x^{14} - 3 x^{12} + 4 x^{10} - 4 x^{8} + 16 x^{6} - 48 x^{4} - 64 x^{2} + 256$ $2^{24}\cdot 3^{8}\cdot 17^{8}$ $C_2^2 \times D_4$ (as 16T25) $[2]$ $43313.61532842862$
16.0.845...256.1 $x^{16} - 4 x^{15} + 22 x^{14} - 52 x^{13} + 72 x^{12} - 32 x^{11} + 148 x^{10} + 268 x^{9} - 461 x^{8} - 1548 x^{7} - 840 x^{6} + 1800 x^{5} + 2772 x^{4} + 1296 x^{3} + 54 x^{2} + 81$ $2^{36}\cdot 3^{8}\cdot 37^{4}$ $C_2^2 \times D_4$ (as 16T25) $[3]$ $37280.57953549159$
16.8.891...000.2 $x^{16} - 4 x^{15} + 2 x^{14} + 8 x^{13} + x^{12} - 56 x^{11} + 56 x^{10} + 184 x^{9} - 464 x^{8} + 192 x^{7} + 576 x^{6} - 840 x^{5} + 321 x^{4} + 324 x^{3} - 450 x^{2} + 144 x + 9$ $2^{32}\cdot 3^{12}\cdot 5^{8}$ $C_2^2 \times D_4$ (as 16T25) trivial $49825.1110893$
16.0.891...000.7 $x^{16} - 6 x^{14} + x^{12} + 126 x^{10} - 180 x^{8} - 738 x^{6} + 1081 x^{4} + 2010 x^{2} + 25$ $2^{32}\cdot 3^{12}\cdot 5^{8}$ $C_2^2 \times D_4$ (as 16T25) $[4]$ $11439.9626517$
16.0.891...000.8 $x^{16} + 2 x^{14} + 3 x^{12} - 40 x^{10} + 91 x^{8} + 90 x^{6} + 93 x^{4} + 108 x^{2} + 36$ $2^{32}\cdot 3^{12}\cdot 5^{8}$ $C_2^2 \times D_4$ (as 16T25) $[4]$ $24835.0092187$
16.0.891...000.13 $x^{16} - 8 x^{15} + 20 x^{14} - 80 x^{12} + 116 x^{11} + 46 x^{10} - 340 x^{9} + 625 x^{8} - 900 x^{7} + 602 x^{6} + 460 x^{5} - 1016 x^{4} + 612 x^{3} + 66 x^{2} - 204 x + 201$ $2^{32}\cdot 3^{12}\cdot 5^{8}$ $C_2^2 \times D_4$ (as 16T25) $[4]$ $28877.951681$
16.0.891...000.14 $x^{16} - 23 x^{12} + 168 x^{8} - 368 x^{4} + 256$ $2^{32}\cdot 3^{12}\cdot 5^{8}$ $C_2^2 \times D_4$ (as 16T25) $[4]$ $37720.1291863$
16.0.115...000.2 $x^{16} - 12 x^{14} + 100 x^{12} - 408 x^{10} + 1191 x^{8} - 2040 x^{6} + 2500 x^{4} - 1500 x^{2} + 625$ $2^{48}\cdot 3^{8}\cdot 5^{4}$ $C_2^2 \times D_4$ (as 16T25) $[3]$ $42111.51791912637$
16.0.118...000.3 $x^{16} + 23 x^{12} + 73 x^{8} + 23 x^{4} + 1$ $2^{32}\cdot 5^{8}\cdot 29^{4}$ $C_2^2 \times D_4$ (as 16T25) $[3]$ $9192.496540646083$
16.0.122...000.2 $x^{16} - 24 x^{14} + 222 x^{12} - 916 x^{10} + 1413 x^{8} + 276 x^{6} + 388 x^{4} + 240 x^{2} + 36$ $2^{24}\cdot 3^{8}\cdot 5^{8}\cdot 13^{4}$ $C_2^2 \times D_4$ (as 16T25) $[2]$ $32143.80494316691$
16.0.206...016.1 $x^{16} + 28 x^{14} + 282 x^{12} + 1296 x^{10} + 2917 x^{8} + 3228 x^{6} + 1616 x^{4} + 296 x^{2} + 4$ $2^{32}\cdot 7^{8}\cdot 17^{4}$ $C_2^2 \times D_4$ (as 16T25) $[4]$ $87872.62030226529$
16.0.232...000.2 $x^{16} + 7 x^{14} + 23 x^{12} + 102 x^{10} + 371 x^{8} + 690 x^{6} + 950 x^{4} + 1000 x^{2} + 625$ $2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 61^{4}$ $C_2^2 \times D_4$ (as 16T25) $[2]$ $32514.363022260182$
16.8.259...696.2 $x^{16} - 16 x^{14} + 108 x^{12} - 416 x^{10} + 972 x^{8} - 1216 x^{6} + 496 x^{4} + 96 x^{2} + 144$ $2^{36}\cdot 3^{8}\cdot 7^{8}$ $C_2^2 \times D_4$ (as 16T25) trivial $79816.8724552$
16.0.259...696.9 $x^{16} + 16 x^{14} + 108 x^{12} + 416 x^{10} + 972 x^{8} + 1216 x^{6} + 496 x^{4} - 96 x^{2} + 144$ $2^{36}\cdot 3^{8}\cdot 7^{8}$ $C_2^2 \times D_4$ (as 16T25) $[8]$ $7135.30089695$
16.0.259...696.10 $x^{16} - 8 x^{15} + 38 x^{14} - 96 x^{13} + 112 x^{12} - 112 x^{11} + 912 x^{10} - 3884 x^{9} + 6747 x^{8} - 4100 x^{7} - 444 x^{6} - 352 x^{5} + 1900 x^{4} - 372 x^{3} - 250 x^{2} - 260 x + 169$ $2^{36}\cdot 3^{8}\cdot 7^{8}$ $C_2^2 \times D_4$ (as 16T25) $[8]$ $18213.1636607$
Next   displayed columns for results