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Label Polynomial Discriminant Galois group Class group Regulator
16.4.175...000.4 $x^{16} + 4 x^{10} - 17 x^{8} - 40 x^{6} - 26 x^{4} - 4 x^{2} + 1$ $2^{52}\cdot 5^{8}$ $C_2^4.(C_4\times D_4)$ (as 16T867) trivial $18575.1648042$
16.4.175...000.5 $x^{16} - 4 x^{10} - 17 x^{8} + 40 x^{6} - 26 x^{4} + 4 x^{2} + 1$ $2^{52}\cdot 5^{8}$ $C_2^4.(C_4\times D_4)$ (as 16T867) trivial $30907.6725936$
16.4.302...144.8 $x^{16} - 8 x^{14} + 48 x^{10} + 34 x^{8} - 72 x^{6} - 240 x^{4} - 208 x^{2} + 1$ $2^{62}\cdot 3^{8}$ $C_2^4.(C_4\times D_4)$ (as 16T867) trivial $291709.7305067666$
16.4.302...144.28 $x^{16} - 16 x^{12} - 104 x^{10} - 30 x^{8} + 256 x^{6} + 288 x^{4} + 88 x^{2} + 1$ $2^{62}\cdot 3^{8}$ $C_2^4.(C_4\times D_4)$ (as 16T867) trivial $226653.2949791049$
16.4.302...144.39 $x^{16} - 40 x^{12} - 136 x^{10} - 86 x^{8} + 32 x^{6} + 40 x^{4} + 24 x^{2} + 9$ $2^{62}\cdot 3^{8}$ $C_2^4.(C_4\times D_4)$ (as 16T867) trivial $360792.83710095426$
16.4.302...144.43 $x^{16} - 8 x^{14} + 24 x^{12} - 64 x^{10} + 74 x^{8} + 152 x^{6} - 312 x^{4} - 32 x^{2} + 169$ $2^{62}\cdot 3^{8}$ $C_2^4.(C_4\times D_4)$ (as 16T867) trivial $183254.66804742863$
16.0.311...000.7 $x^{16} + 14 x^{14} - 4 x^{13} + 81 x^{12} - 68 x^{11} + 188 x^{10} - 324 x^{9} + 328 x^{8} - 660 x^{7} + 720 x^{6} - 580 x^{5} + 895 x^{4} - 800 x^{3} + 350 x^{2} - 300 x + 175$ $2^{24}\cdot 5^{8}\cdot 41^{6}$ $C_2^4.(C_4\times D_4)$ (as 16T867) $[2]$ $22448.6930134$
16.0.311...000.8 $x^{16} - 8 x^{15} + 30 x^{14} - 68 x^{13} + 102 x^{12} - 104 x^{11} + 138 x^{10} - 302 x^{9} + 751 x^{8} - 1236 x^{7} + 1560 x^{6} - 634 x^{5} + 499 x^{4} + 150 x^{3} + 41 x^{2} + 30 x + 17$ $2^{24}\cdot 5^{8}\cdot 41^{6}$ $C_2^4.(C_4\times D_4)$ (as 16T867) $[2]$ $19484.1285749$
16.0.608...904.1 $x^{16} - 13 x^{14} + 57 x^{12} - 78 x^{10} + 67 x^{8} - 45 x^{6} + 23 x^{4} - 8 x^{2} + 4$ $2^{42}\cdot 7^{12}$ $C_2^4.(C_4\times D_4)$ (as 16T867) trivial $241130.962586$
16.0.608...904.2 $x^{16} - 2 x^{14} + 8 x^{12} + 30 x^{10} + 14 x^{8} - 30 x^{6} + 8 x^{4} + 2 x^{2} + 1$ $2^{42}\cdot 7^{12}$ $C_2^4.(C_4\times D_4)$ (as 16T867) trivial $197486.239313$
16.4.484...304.54 $x^{16} - 8 x^{14} - 12 x^{12} + 120 x^{10} - 218 x^{8} - 120 x^{6} - 12 x^{4} + 8 x^{2} + 1$ $2^{66}\cdot 3^{8}$ $C_2^4.(C_4\times D_4)$ (as 16T867) trivial $2702089.013366066$
16.4.484...304.60 $x^{16} - 8 x^{14} + 52 x^{12} - 136 x^{10} - 90 x^{8} + 136 x^{6} + 52 x^{4} + 8 x^{2} + 1$ $2^{66}\cdot 3^{8}$ $C_2^4.(C_4\times D_4)$ (as 16T867) trivial $743294.3642435756$
16.4.484...304.79 $x^{16} - 8 x^{14} + 36 x^{12} - 104 x^{10} + 198 x^{8} - 248 x^{6} - 220 x^{4} + 744 x^{2} + 1$ $2^{66}\cdot 3^{8}$ $C_2^4.(C_4\times D_4)$ (as 16T867) trivial $1542272.9521581589$
16.4.484...304.120 $x^{16} - 8 x^{14} + 4 x^{12} + 88 x^{10} - 154 x^{8} - 120 x^{6} + 196 x^{4} + 168 x^{2} + 225$ $2^{66}\cdot 3^{8}$ $C_2^4.(C_4\times D_4)$ (as 16T867) trivial $1302264.6429148528$
16.4.245...664.12 $x^{16} + 16 x^{14} + 40 x^{12} - 48 x^{11} - 392 x^{10} - 1008 x^{9} - 2714 x^{8} - 4704 x^{7} - 7232 x^{6} - 8160 x^{5} - 7088 x^{4} - 5328 x^{3} - 2648 x^{2} - 912 x - 107$ $2^{62}\cdot 3^{12}$ $C_2^4.(C_4\times D_4)$ (as 16T867) trivial $2489090.4164524674$
16.4.245...664.13 $x^{16} + 16 x^{14} + 64 x^{12} - 48 x^{11} - 80 x^{10} - 96 x^{9} + 364 x^{8} + 1152 x^{7} - 2336 x^{6} + 1056 x^{5} + 160 x^{4} + 384 x^{3} - 992 x^{2} + 576 x - 104$ $2^{62}\cdot 3^{12}$ $C_2^4.(C_4\times D_4)$ (as 16T867) trivial $3426158.6075725714$
16.4.245...664.130 $x^{16} - 16 x^{14} + 76 x^{12} - 144 x^{11} - 544 x^{10} + 48 x^{9} + 346 x^{8} - 1248 x^{7} + 32 x^{6} + 4032 x^{5} + 1876 x^{4} - 3408 x^{3} - 2896 x^{2} - 240 x + 253$ $2^{62}\cdot 3^{12}$ $C_2^4.(C_4\times D_4)$ (as 16T867) trivial $1563668.9157218637$
16.4.245...664.145 $x^{16} - 16 x^{14} + 100 x^{12} - 48 x^{11} - 496 x^{10} + 288 x^{9} + 1804 x^{8} - 1536 x^{7} - 6304 x^{6} + 2112 x^{5} + 13336 x^{4} + 3168 x^{3} - 11104 x^{2} - 5568 x + 1012$ $2^{62}\cdot 3^{12}$ $C_2^4.(C_4\times D_4)$ (as 16T867) trivial $2152343.554730986$
16.8.796...000.1 $x^{16} - 4 x^{15} - 8 x^{14} + 20 x^{13} + 46 x^{12} + 68 x^{11} - 206 x^{10} - 68 x^{9} - 412 x^{8} + 68 x^{7} + 3878 x^{6} - 10388 x^{5} + 3699 x^{4} + 32328 x^{3} - 12074 x^{2} - 44116 x - 16919$ $2^{32}\cdot 5^{8}\cdot 41^{6}$ $C_2^4.(C_4\times D_4)$ (as 16T867) trivial $5492598.33222$
16.4.796...000.1 $x^{16} - 2 x^{14} - 8 x^{13} + 8 x^{12} + 56 x^{11} + 48 x^{10} + 184 x^{9} + 696 x^{8} + 800 x^{7} - 3984 x^{6} - 14688 x^{5} - 20200 x^{4} - 14976 x^{3} - 3232 x^{2} + 7680 x + 6800$ $2^{32}\cdot 5^{8}\cdot 41^{6}$ $C_2^4.(C_4\times D_4)$ (as 16T867) $[2]$ $1265715.21062$
16.8.796...000.2 $x^{16} - 8 x^{15} - 4 x^{14} + 152 x^{13} - 120 x^{12} - 1160 x^{11} + 972 x^{10} + 4376 x^{9} - 1234 x^{8} - 6104 x^{7} - 5628 x^{6} - 7864 x^{5} + 11688 x^{4} + 27688 x^{3} + 5684 x^{2} - 5944 x - 1871$ $2^{32}\cdot 5^{8}\cdot 41^{6}$ $C_2^4.(C_4\times D_4)$ (as 16T867) trivial $2681414.93961$
16.4.796...000.2 $x^{16} - 4 x^{15} - 4 x^{14} + 24 x^{13} + 3 x^{12} + 4 x^{11} - 180 x^{10} - 372 x^{9} + 1735 x^{8} + 1140 x^{7} - 7788 x^{6} - 3844 x^{5} + 19911 x^{4} - 2700 x^{3} - 19108 x^{2} + 41548 x - 25199$ $2^{32}\cdot 5^{8}\cdot 41^{6}$ $C_2^4.(C_4\times D_4)$ (as 16T867) $[2]$ $550717.380667$
16.4.392...624.21 $x^{16} - 8 x^{14} - 32 x^{13} - 56 x^{12} - 96 x^{11} - 248 x^{10} - 144 x^{9} + 16 x^{8} + 128 x^{7} + 688 x^{6} + 304 x^{5} - 880 x^{4} - 80 x^{3} + 208 x^{2} + 64 x - 38$ $2^{66}\cdot 3^{12}$ $C_2^4.(C_4\times D_4)$ (as 16T867) trivial $6645262.569390461$
16.4.392...624.98 $x^{16} - 16 x^{13} + 36 x^{12} + 96 x^{11} - 168 x^{10} - 1584 x^{9} - 3534 x^{8} - 3232 x^{7} + 1200 x^{6} + 6384 x^{5} + 6964 x^{4} + 3504 x^{3} + 888 x^{2} + 96 x + 3$ $2^{66}\cdot 3^{12}$ $C_2^4.(C_4\times D_4)$ (as 16T867) trivial $11642615.501073338$
16.4.392...624.323 $x^{16} + 24 x^{12} - 720 x^{10} + 684 x^{8} + 1728 x^{6} + 4752 x^{4} + 2592 x^{2} + 324$ $2^{66}\cdot 3^{12}$ $C_2^4.(C_4\times D_4)$ (as 16T867) trivial $14459331.623868782$
16.4.392...624.324 $x^{16} - 120 x^{12} - 720 x^{10} - 468 x^{8} + 5184 x^{6} + 7344 x^{4} + 2592 x^{2} + 324$ $2^{66}\cdot 3^{12}$ $C_2^4.(C_4\times D_4)$ (as 16T867) trivial $25333000.275210503$
16.8.124...000.2 $x^{16} - 6 x^{15} - 14 x^{14} + 174 x^{13} - 424 x^{12} + 804 x^{11} - 7286 x^{10} + 44068 x^{9} - 132943 x^{8} + 199956 x^{7} - 96554 x^{6} - 135708 x^{5} + 228983 x^{4} - 30330 x^{3} - 86423 x^{2} + 2542 x + 1171$ $2^{16}\cdot 5^{8}\cdot 13^{8}\cdot 29^{6}$ $C_2^4.(C_4\times D_4)$ (as 16T867) trivial $114987496.965$
16.8.124...000.3 $x^{16} - 15 x^{14} - 48 x^{13} - 335 x^{12} + 180 x^{11} + 6248 x^{10} + 9674 x^{9} - 18349 x^{8} - 111098 x^{7} - 164026 x^{6} + 478656 x^{5} + 1165626 x^{4} - 922326 x^{3} - 2478620 x^{2} + 661712 x + 1738979$ $2^{16}\cdot 5^{8}\cdot 13^{8}\cdot 29^{6}$ $C_2^4.(C_4\times D_4)$ (as 16T867) trivial $183751952.366$
16.0.216...224.3 $x^{16} + 14 x^{14} + 40 x^{12} - 228 x^{10} - 924 x^{8} + 1896 x^{6} + 5632 x^{4} - 10336 x^{2} + 4624$ $2^{40}\cdot 13^{8}\cdot 17^{6}$ $C_2^4.(C_4\times D_4)$ (as 16T867) $[2]$ $33667602.8599$
16.0.216...224.4 $x^{16} - 12 x^{14} + 60 x^{12} + 8 x^{10} + 2532 x^{8} - 21824 x^{6} + 49952 x^{4} - 15232 x^{2} + 73984$ $2^{40}\cdot 13^{8}\cdot 17^{6}$ $C_2^4.(C_4\times D_4)$ (as 16T867) $[2]$ $153262521.572$
16.0.522...000.2 $x^{16} - 8 x^{15} + 36 x^{14} - 96 x^{13} + 390 x^{12} - 2584 x^{11} + 6696 x^{10} - 9224 x^{9} + 38863 x^{8} - 75104 x^{7} + 11208 x^{6} - 222520 x^{5} + 463258 x^{4} - 7808 x^{3} + 687604 x^{2} + 348488 x + 54047$ $2^{48}\cdot 5^{8}\cdot 41^{6}$ $C_2^4.(C_4\times D_4)$ (as 16T867) $[2, 2, 6]$ $8873620.93647$
16.0.522...000.3 $x^{16} - 8 x^{15} + 48 x^{14} - 112 x^{13} + 192 x^{12} + 408 x^{11} + 136 x^{10} - 2040 x^{9} + 20208 x^{8} - 10792 x^{7} - 63192 x^{6} + 383232 x^{5} - 223364 x^{4} - 884440 x^{3} + 5046560 x^{2} - 8393400 x + 5288575$ $2^{48}\cdot 5^{8}\cdot 41^{6}$ $C_2^4.(C_4\times D_4)$ (as 16T867) $[2, 2, 1080]$ $69347.0107895$
16.16.522...000.3 $x^{16} - 80 x^{14} - 16 x^{13} + 2484 x^{12} + 1008 x^{11} - 37984 x^{10} - 22160 x^{9} + 297720 x^{8} + 210720 x^{7} - 1121888 x^{6} - 833920 x^{5} + 1704520 x^{4} + 1074048 x^{3} - 756512 x^{2} - 386624 x + 41212$ $2^{48}\cdot 5^{8}\cdot 41^{6}$ $C_2^4.(C_4\times D_4)$ (as 16T867) trivial $8347410040.81$
16.16.522...000.4 $x^{16} - 8 x^{15} - 36 x^{14} + 312 x^{13} + 562 x^{12} - 4176 x^{11} - 4472 x^{10} + 23104 x^{9} + 13629 x^{8} - 59040 x^{7} - 13024 x^{6} + 66416 x^{5} - 1474 x^{4} - 24288 x^{3} + 220 x^{2} + 2368 x + 73$ $2^{48}\cdot 5^{8}\cdot 41^{6}$ $C_2^4.(C_4\times D_4)$ (as 16T867) trivial $6844528613.79$
16.0.522...000.4 $x^{16} - 8 x^{15} + 4 x^{14} + 80 x^{13} - 22 x^{12} - 424 x^{11} - 320 x^{10} + 872 x^{9} + 1449 x^{8} - 512 x^{7} + 1384 x^{6} + 13800 x^{5} + 25714 x^{4} + 22280 x^{3} + 11524 x^{2} + 3672 x + 593$ $2^{48}\cdot 5^{8}\cdot 41^{6}$ $C_2^4.(C_4\times D_4)$ (as 16T867) $[2, 2, 6]$ $15480537.663$
16.0.522...000.5 $x^{16} + 40 x^{14} - 56 x^{13} + 492 x^{12} - 800 x^{11} + 2984 x^{10} - 3472 x^{9} + 6704 x^{8} - 8480 x^{7} + 27920 x^{6} - 33720 x^{5} + 39080 x^{4} + 1200 x^{2} - 6000 x + 19775$ $2^{48}\cdot 5^{8}\cdot 41^{6}$ $C_2^4.(C_4\times D_4)$ (as 16T867) $[2, 2, 6]$ $11652999.7492$
16.0.522...000.6 $x^{16} + 72 x^{14} - 16 x^{13} + 2104 x^{12} - 912 x^{11} + 31248 x^{10} - 19280 x^{9} + 244130 x^{8} - 178240 x^{7} + 919752 x^{6} - 682000 x^{5} + 1174344 x^{4} - 233392 x^{3} - 180592 x^{2} - 1127184 x + 722441$ $2^{48}\cdot 5^{8}\cdot 41^{6}$ $C_2^4.(C_4\times D_4)$ (as 16T867) $[2, 2, 500]$ $69347.0107895$
16.0.522...000.7 $x^{16} - 8 x^{15} + 32 x^{14} - 80 x^{13} + 164 x^{12} - 432 x^{11} + 1368 x^{10} - 3360 x^{9} + 6440 x^{8} - 15384 x^{7} + 55976 x^{6} - 180512 x^{5} + 418552 x^{4} - 678032 x^{3} + 754656 x^{2} - 532128 x + 192839$ $2^{48}\cdot 5^{8}\cdot 41^{6}$ $C_2^4.(C_4\times D_4)$ (as 16T867) $[2, 2, 6]$ $7512179.69213$
16.0.857...000.1 $x^{16} - 4 x^{15} + 58 x^{14} - 160 x^{13} + 1504 x^{12} - 3276 x^{11} + 25166 x^{10} - 45164 x^{9} + 310588 x^{8} - 386784 x^{7} + 2840274 x^{6} - 1411084 x^{5} + 17034316 x^{4} + 5733232 x^{3} + 51381090 x^{2} + 82475736 x + 100565657$ $2^{38}\cdot 5^{8}\cdot 41^{8}$ $C_2^4.(C_4\times D_4)$ (as 16T867) $[2, 2, 8]$ $23838318.2132$
16.0.857...000.2 $x^{16} - 8 x^{15} + 48 x^{14} - 120 x^{13} + 400 x^{12} - 312 x^{11} + 5864 x^{10} - 14248 x^{9} + 93596 x^{8} - 113264 x^{7} + 554352 x^{6} - 283920 x^{5} + 2755912 x^{4} - 505776 x^{3} + 7091360 x^{2} + 5330000 x + 13696132$ $2^{38}\cdot 5^{8}\cdot 41^{8}$ $C_2^4.(C_4\times D_4)$ (as 16T867) $[2, 2, 8]$ $15303070.1591$
16.8.127...000.2 $x^{16} - 2 x^{15} - 11 x^{14} + 22 x^{13} - 478 x^{12} + 1768 x^{11} - 2647 x^{10} + 10408 x^{9} - 5067 x^{8} - 30164 x^{7} - 65139 x^{6} + 187168 x^{5} - 90568 x^{4} - 82074 x^{3} + 55683 x^{2} + 15822 x + 567$ $2^{24}\cdot 5^{8}\cdot 761^{6}$ $C_2^4.(C_4\times D_4)$ (as 16T867) $[2]$ $1101059617.88$
16.8.127...000.3 $x^{16} - 2 x^{15} - 15 x^{14} - 6 x^{13} - 414 x^{12} + 88 x^{11} + 1619 x^{10} + 3208 x^{9} + 7329 x^{8} + 612 x^{7} - 21143 x^{6} - 67604 x^{5} - 57902 x^{4} + 30910 x^{3} + 95251 x^{2} + 9770 x - 36775$ $2^{24}\cdot 5^{8}\cdot 761^{6}$ $C_2^4.(C_4\times D_4)$ (as 16T867) $[2]$ $719325462.097$
16.0.624...000.1 $x^{16} - 24 x^{14} + 236 x^{12} - 1080 x^{10} + 370 x^{8} + 13800 x^{6} + 2900 x^{4} - 279000 x^{2} + 600625$ $2^{54}\cdot 5^{8}\cdot 31^{6}$ $C_2^4.(C_4\times D_4)$ (as 16T867) $[2, 8]$ $51750012.7061$
16.0.624...000.2 $x^{16} + 8 x^{14} - 48 x^{13} + 144 x^{12} - 720 x^{11} + 2488 x^{10} - 8400 x^{9} + 28168 x^{8} - 95112 x^{7} + 303112 x^{6} - 854000 x^{5} + 2027680 x^{4} - 3403184 x^{3} + 3839064 x^{2} - 2336960 x + 770686$ $2^{54}\cdot 5^{8}\cdot 31^{6}$ $C_2^4.(C_4\times D_4)$ (as 16T867) $[2, 8]$ $129331071.474$
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