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Label Polynomial Discriminant Galois group Class group Regulator
16.0.100...000.1 $x^{16} + 3 x^{14} - 10 x^{13} + 8 x^{12} + 6 x^{10} + 60 x^{9} + 135 x^{8} + 120 x^{7} + 161 x^{6} + 210 x^{5} + 153 x^{4} + 50 x^{3} + 48 x^{2} + 10 x + 1$ $2^{16}\cdot 5^{14}\cdot 1361^{3}$ $C_2^5.C_2\wr C_4$ (as 16T1354) $[8]$ $56633.8951265$
16.8.100...000.1 $x^{16} - 10 x^{14} - 10 x^{13} - 20 x^{12} - 70 x^{11} + 200 x^{9} + 260 x^{8} - 150 x^{7} - 550 x^{6} - 100 x^{5} + 475 x^{4} + 350 x^{3} - 400 x^{2} + 25$ $2^{16}\cdot 5^{14}\cdot 1361^{3}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $1206646.13219$
16.0.100...000.2 $x^{16} - 2 x^{15} + 15 x^{14} - 30 x^{13} + 70 x^{12} - 76 x^{11} + 72 x^{10} - 140 x^{9} + 45 x^{8} + 140 x^{7} + 72 x^{6} + 76 x^{5} + 70 x^{4} + 30 x^{3} + 15 x^{2} + 2 x + 1$ $2^{16}\cdot 5^{14}\cdot 1361^{3}$ $C_2^5.C_2\wr C_4$ (as 16T1354) $[8]$ $81146.1229534$
16.8.100...000.2 $x^{16} - 4 x^{15} + 10 x^{14} - 30 x^{13} + 20 x^{12} + 58 x^{11} - 142 x^{10} + 120 x^{9} + 225 x^{8} - 130 x^{7} - 132 x^{6} - 62 x^{5} + 85 x^{4} + 80 x^{3} - 25 x^{2} - 14 x + 1$ $2^{16}\cdot 5^{14}\cdot 1361^{3}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $1728905.5465$
16.4.580...112.1 $x^{16} - 28 x^{12} - 112 x^{10} - 178 x^{8} - 128 x^{6} - 12 x^{4} + 48 x^{2} + 17$ $2^{70}\cdot 17^{3}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $2265508.93101$
16.4.580...112.2 $x^{16} - 28 x^{12} + 112 x^{10} - 178 x^{8} + 128 x^{6} - 12 x^{4} - 48 x^{2} + 17$ $2^{70}\cdot 17^{3}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $2256604.69458$
16.4.580...112.5 $x^{16} - 20 x^{12} + 32 x^{10} + 106 x^{8} + 32 x^{6} + 20 x^{4} - 64 x^{2} + 17$ $2^{70}\cdot 17^{3}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $2363297.1366594937$
16.10.735...875.1 $x^{16} - 2 x^{15} - 11 x^{14} - 2 x^{13} - 82 x^{12} + 348 x^{11} + 1316 x^{10} - 2056 x^{9} - 3997 x^{8} + 2193 x^{7} - 201 x^{6} + 6619 x^{5} + 7738 x^{4} - 6414 x^{3} + 2491 x^{2} - 5631 x + 2371$ $-\,3^{8}\cdot 5^{14}\cdot 179^{5}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $4370225.78406$
16.2.735...875.1 $x^{16} - 2 x^{15} + 15 x^{14} - 25 x^{13} + 55 x^{12} - 161 x^{11} - 93 x^{10} - 1435 x^{9} - 2520 x^{8} - 7600 x^{7} - 14958 x^{6} - 27119 x^{5} - 30590 x^{4} - 21985 x^{3} - 6870 x^{2} + 4027 x + 3001$ $-\,3^{8}\cdot 5^{14}\cdot 179^{5}$ $C_2^5.C_2\wr C_4$ (as 16T1354) $[2, 2]$ $188036.164759$
16.6.735...875.1 $x^{16} - 4 x^{15} + 10 x^{14} + 20 x^{13} - 125 x^{12} + 83 x^{11} + 433 x^{10} - 1840 x^{9} + 1755 x^{8} + 4880 x^{7} - 14637 x^{6} + 19148 x^{5} + 1025 x^{4} - 43515 x^{3} + 64680 x^{2} - 69144 x + 39511$ $-\,3^{8}\cdot 5^{14}\cdot 179^{5}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $1805527.1718$
16.6.735...875.2 $x^{16} - 3 x^{15} + 16 x^{14} - 17 x^{13} - 24 x^{12} + 261 x^{11} - 876 x^{10} + 614 x^{9} - 68 x^{8} - 7841 x^{7} + 5959 x^{6} + 2021 x^{5} - 11234 x^{4} + 23063 x^{3} + 85241 x^{2} + 92597 x + 33571$ $-\,3^{8}\cdot 5^{14}\cdot 179^{5}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $1992298.09627$
16.10.238...875.1 $x^{16} - 5 x^{15} - 10 x^{14} + 50 x^{13} + 29 x^{12} + 110 x^{11} + 120 x^{10} - 2370 x^{9} - 3524 x^{8} + 3450 x^{7} + 22485 x^{6} + 27140 x^{5} - 48826 x^{4} - 86560 x^{3} + 6155 x^{2} + 23515 x - 2789$ $-\,3^{12}\cdot 5^{12}\cdot 179^{5}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $7759805.06061$
16.2.238...875.1 $x^{16} - 8 x^{15} + 40 x^{14} - 119 x^{13} + 183 x^{12} + 106 x^{11} - 1631 x^{10} + 4629 x^{9} - 9140 x^{8} + 10263 x^{7} - 12907 x^{6} + 11631 x^{5} - 31738 x^{4} + 42761 x^{3} - 84733 x^{2} + 75162 x - 72329$ $-\,3^{12}\cdot 5^{12}\cdot 179^{5}$ $C_2^5.C_2\wr C_4$ (as 16T1354) $[2, 2]$ $366900.531256$
16.10.489...128.3 $x^{16} - 16 x^{14} + 72 x^{12} + 32 x^{10} - 1184 x^{8} + 3840 x^{6} - 5472 x^{4} + 3456 x^{2} - 648$ $-\,2^{79}\cdot 3^{4}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $23578051.079897515$
16.10.489...128.4 $x^{16} - 16 x^{14} + 40 x^{12} + 256 x^{10} - 496 x^{8} - 1728 x^{6} + 1728 x^{4} + 3456 x^{2} - 648$ $-\,2^{79}\cdot 3^{4}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $23898232.486054152$
16.10.489...128.6 $x^{16} - 16 x^{14} + 88 x^{12} - 144 x^{10} - 320 x^{8} + 1344 x^{6} - 1656 x^{4} + 864 x^{2} - 162$ $-\,2^{79}\cdot 3^{4}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $19926641.33559681$
16.10.489...128.8 $x^{16} - 48 x^{12} + 16 x^{10} + 824 x^{8} - 1440 x^{6} - 648 x^{4} + 864 x^{2} - 162$ $-\,2^{79}\cdot 3^{4}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $22295777.567262013$
16.6.489...128.15 $x^{16} - 16 x^{14} + 88 x^{12} - 144 x^{10} - 320 x^{8} + 1152 x^{6} - 72 x^{4} - 1728 x^{2} - 162$ $-\,2^{79}\cdot 3^{4}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $10271509.010881625$
16.6.489...128.19 $x^{16} - 16 x^{14} - 8 x^{12} + 464 x^{10} + 1360 x^{8} + 1056 x^{6} - 504 x^{4} - 864 x^{2} - 162$ $-\,2^{79}\cdot 3^{4}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $7790872.4054297665$
16.2.489...128.19 $x^{16} + 16 x^{14} + 72 x^{12} - 32 x^{10} - 1184 x^{8} - 3840 x^{6} - 5472 x^{4} - 3456 x^{2} - 648$ $-\,2^{79}\cdot 3^{4}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $3251870.4573745993$
16.6.489...128.20 $x^{16} - 80 x^{12} - 336 x^{10} - 184 x^{8} + 960 x^{6} + 792 x^{4} - 864 x^{2} - 162$ $-\,2^{79}\cdot 3^{4}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $7260989.059602111$
16.2.489...128.22 $x^{16} + 16 x^{14} + 40 x^{12} - 256 x^{10} - 496 x^{8} + 1728 x^{6} + 1728 x^{4} - 3456 x^{2} - 648$ $-\,2^{79}\cdot 3^{4}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $3749740.1932634916$
16.6.489...128.34 $x^{16} - 32 x^{12} + 48 x^{10} + 248 x^{8} - 768 x^{6} + 648 x^{4} - 162$ $-\,2^{79}\cdot 3^{4}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $12178609.200630154$
16.6.489...128.35 $x^{16} - 32 x^{12} - 48 x^{10} + 248 x^{8} + 768 x^{6} + 648 x^{4} - 162$ $-\,2^{79}\cdot 3^{4}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $9472288.886555301$
16.6.489...128.48 $x^{16} + 16 x^{14} - 8 x^{12} - 464 x^{10} + 1360 x^{8} - 1056 x^{6} - 504 x^{4} + 864 x^{2} - 162$ $-\,2^{79}\cdot 3^{4}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $7489962.933777668$
16.6.489...128.49 $x^{16} - 80 x^{12} + 336 x^{10} - 184 x^{8} - 960 x^{6} + 792 x^{4} + 864 x^{2} - 162$ $-\,2^{79}\cdot 3^{4}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $6469811.124659964$
16.2.489...128.49 $x^{16} + 16 x^{14} + 88 x^{12} + 144 x^{10} - 320 x^{8} - 1344 x^{6} - 1656 x^{4} - 864 x^{2} - 162$ $-\,2^{79}\cdot 3^{4}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $3868820.647104295$
16.6.489...128.55 $x^{16} + 16 x^{14} + 88 x^{12} + 144 x^{10} - 320 x^{8} - 1152 x^{6} - 72 x^{4} + 1728 x^{2} - 162$ $-\,2^{79}\cdot 3^{4}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $13864261.521578426$
16.2.489...128.56 $x^{16} - 48 x^{12} - 16 x^{10} + 824 x^{8} + 1440 x^{6} - 648 x^{4} - 864 x^{2} - 162$ $-\,2^{79}\cdot 3^{4}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $3870431.197808023$
16.10.396...368.24 $x^{16} - 16 x^{14} + 120 x^{12} - 544 x^{10} + 1488 x^{8} - 2176 x^{6} + 1184 x^{4} + 384 x^{2} - 392$ $-\,2^{79}\cdot 3^{8}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $289539276.64077294$
16.10.396...368.25 $x^{16} - 16 x^{14} + 40 x^{12} + 352 x^{10} - 1392 x^{8} - 64 x^{6} + 2848 x^{4} + 1024 x^{2} - 392$ $-\,2^{79}\cdot 3^{8}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $540104056.4095578$
16.10.396...368.36 $x^{16} - 16 x^{14} - 24 x^{12} + 192 x^{10} - 624 x^{8} + 1088 x^{6} - 640 x^{4} + 128 x^{2} - 8$ $-\,2^{79}\cdot 3^{8}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $255691881.5391921$
16.10.396...368.38 $x^{16} - 16 x^{14} + 136 x^{12} - 736 x^{10} + 2272 x^{8} - 3328 x^{6} + 1504 x^{4} + 128 x^{2} - 8$ $-\,2^{79}\cdot 3^{8}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $252266197.81041303$
16.10.396...368.43 $x^{16} - 16 x^{14} + 88 x^{12} - 160 x^{10} - 240 x^{8} + 1408 x^{6} - 1952 x^{4} + 640 x^{2} - 8$ $-\,2^{79}\cdot 3^{8}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $215908395.59587783$
16.10.396...368.44 $x^{16} - 16 x^{14} + 72 x^{12} - 160 x^{10} + 848 x^{8} - 1088 x^{6} - 4256 x^{4} + 2304 x^{2} - 8$ $-\,2^{79}\cdot 3^{8}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $402753649.27050346$
16.10.396...368.50 $x^{16} - 96 x^{12} + 304 x^{10} - 200 x^{8} + 96 x^{6} - 104 x^{4} + 32 x^{2} - 2$ $-\,2^{79}\cdot 3^{8}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $238546901.73757717$
16.10.396...368.59 $x^{16} - 16 x^{14} + 72 x^{12} - 112 x^{10} + 192 x^{8} - 448 x^{6} + 296 x^{4} + 96 x^{2} - 2$ $-\,2^{79}\cdot 3^{8}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $213199048.03958324$
16.6.396...368.109 $x^{16} - 112 x^{12} + 48 x^{10} + 1600 x^{8} - 3168 x^{6} + 1800 x^{4} - 162$ $-\,2^{79}\cdot 3^{8}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $140853534.53609943$
16.6.396...368.110 $x^{16} - 112 x^{12} - 48 x^{10} + 1600 x^{8} + 3168 x^{6} + 1800 x^{4} - 162$ $-\,2^{79}\cdot 3^{8}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $88104634.69812441$
16.6.396...368.125 $x^{16} + 16 x^{14} + 24 x^{12} - 272 x^{10} - 552 x^{8} + 832 x^{6} + 680 x^{4} - 192 x^{2} - 98$ $-\,2^{79}\cdot 3^{8}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $231451490.49332115$
16.6.396...368.136 $x^{16} - 16 x^{14} + 24 x^{12} + 272 x^{10} - 552 x^{8} - 832 x^{6} + 680 x^{4} + 192 x^{2} - 98$ $-\,2^{79}\cdot 3^{8}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $140168138.47838956$
16.6.396...368.172 $x^{16} - 128 x^{12} + 912 x^{10} - 2304 x^{8} + 1824 x^{6} + 424 x^{4} - 384 x^{2} - 2$ $-\,2^{79}\cdot 3^{8}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $188888581.14722142$
16.6.396...368.184 $x^{16} - 16 x^{14} + 40 x^{12} + 368 x^{10} - 1416 x^{8} + 64 x^{6} - 344 x^{4} - 128 x^{2} - 2$ $-\,2^{79}\cdot 3^{8}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $104522875.94155098$
16.6.396...368.188 $x^{16} + 32 x^{12} - 336 x^{10} - 184 x^{8} + 1344 x^{6} - 392 x^{4} - 96 x^{2} - 2$ $-\,2^{79}\cdot 3^{8}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $69221779.50326908$
16.6.396...368.197 $x^{16} + 16 x^{14} - 120 x^{12} + 272 x^{10} - 304 x^{8} + 224 x^{6} - 24 x^{4} - 32 x^{2} - 2$ $-\,2^{79}\cdot 3^{8}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $80136584.00528121$
16.6.396...368.216 $x^{16} + 16 x^{14} + 72 x^{12} + 112 x^{10} + 192 x^{8} - 512 x^{6} + 152 x^{4} - 2$ $-\,2^{79}\cdot 3^{8}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $148336456.1237944$
16.6.396...368.217 $x^{16} - 16 x^{14} + 72 x^{12} - 112 x^{10} + 192 x^{8} + 512 x^{6} + 152 x^{4} - 2$ $-\,2^{79}\cdot 3^{8}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $109896891.61203423$
16.6.396...368.219 $x^{16} - 16 x^{12} + 48 x^{10} - 136 x^{8} - 384 x^{6} + 616 x^{4} - 2$ $-\,2^{79}\cdot 3^{8}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $101345878.58325748$
16.6.396...368.220 $x^{16} - 16 x^{12} - 48 x^{10} - 136 x^{8} + 384 x^{6} + 616 x^{4} - 2$ $-\,2^{79}\cdot 3^{8}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $130301330.98156118$
16.6.396...368.223 $x^{16} - 16 x^{14} - 120 x^{12} - 272 x^{10} - 304 x^{8} - 224 x^{6} - 24 x^{4} + 32 x^{2} - 2$ $-\,2^{79}\cdot 3^{8}$ $C_2^5.C_2\wr C_4$ (as 16T1354) trivial $83356073.5229511$
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