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Label Polynomial Discriminant Galois group Class group Regulator
16.0.104976000000000000.1 $x^{16} + x^{14} - x^{10} - x^{8} - x^{6} + x^{2} + 1$ $2^{16}\cdot 3^{8}\cdot 5^{12}$ $C_4\times C_2^2$ (as 16T2) trivial $1560.85801125$
16.0.104...000.1 $x^{16} - x^{12} + x^{8} - x^{4} + 1$ $2^{32}\cdot 5^{12}$ $C_4\times C_2^2$ (as 16T2) trivial $3557.06767863$
16.0.184...016.1 $x^{16} - x^{8} + 1$ $2^{48}\cdot 3^{8}$ $C_4\times C_2^2$ (as 16T2) trivial $5982.15532136$
16.0.923...625.1 $x^{16} - x^{15} + 2 x^{14} - 5 x^{13} + 5 x^{12} + x^{11} + 6 x^{10} + 5 x^{9} - 21 x^{8} + 10 x^{7} + 24 x^{6} + 8 x^{5} + 80 x^{4} - 160 x^{3} + 128 x^{2} - 128 x + 256$ $3^{8}\cdot 5^{12}\cdot 7^{8}$ $C_4\times C_2^2$ (as 16T2) trivial $7204.63964805$
16.0.268...000.1 $x^{16} + 2 x^{14} - 8 x^{10} - 16 x^{8} - 32 x^{6} + 128 x^{2} + 256$ $2^{24}\cdot 3^{8}\cdot 5^{12}$ $C_4\times C_2^2$ (as 16T2) trivial $9885.67249618$
16.0.268...000.2 $x^{16} - 2 x^{14} + 8 x^{10} - 16 x^{8} + 32 x^{6} - 128 x^{2} + 256$ $2^{24}\cdot 3^{8}\cdot 5^{12}$ $C_4\times C_2^2$ (as 16T2) $[2]$ $8347.19662176$
16.0.922...000.1 $x^{16} + 3 x^{14} + 5 x^{12} + 3 x^{10} - 11 x^{8} + 12 x^{6} + 80 x^{4} + 192 x^{2} + 256$ $2^{16}\cdot 5^{12}\cdot 7^{8}$ $C_4\times C_2^2$ (as 16T2) trivial $11381.1188025$
16.0.109...000.1 $x^{16} + 47 x^{8} + 1$ $2^{48}\cdot 5^{8}$ $C_4\times C_2^2$ (as 16T2) trivial $12198.9512748$
16.0.343...625.1 $x^{16} - x^{15} + 3 x^{14} - 8 x^{13} + 8 x^{12} + 7 x^{11} + 6 x^{10} + 56 x^{9} - 137 x^{8} + 168 x^{7} + 54 x^{6} + 189 x^{5} + 648 x^{4} - 1944 x^{3} + 2187 x^{2} - 2187 x + 6561$ $3^{8}\cdot 5^{12}\cdot 11^{8}$ $C_4\times C_2^2$ (as 16T2) $[4]$ $16078.6045103$
16.0.130...625.1 $x^{16} - x^{15} - 3 x^{14} + 10 x^{13} - 10 x^{12} + 31 x^{11} + 66 x^{10} - 310 x^{9} + 229 x^{8} + 930 x^{7} + 594 x^{6} - 837 x^{5} - 810 x^{4} - 2430 x^{3} - 2187 x^{2} + 2187 x + 6561$ $3^{8}\cdot 5^{12}\cdot 13^{8}$ $C_4\times C_2^2$ (as 16T2) $[4]$ $24866.4840857$
16.0.162...456.1 $x^{16} - 31 x^{8} + 256$ $2^{48}\cdot 7^{8}$ $C_4\times C_2^2$ (as 16T2) $[4]$ $39114.0652766$
16.0.342...000.1 $x^{16} + 5 x^{14} + 16 x^{12} + 35 x^{10} + 31 x^{8} + 315 x^{6} + 1296 x^{4} + 3645 x^{2} + 6561$ $2^{16}\cdot 5^{12}\cdot 11^{8}$ $C_4\times C_2^2$ (as 16T2) $[4]$ $40470.7919711$
16.0.687...000.1 $x^{16} + 16 x^{14} + 105 x^{12} + 364 x^{10} + 714 x^{8} + 784 x^{6} + 440 x^{4} + 96 x^{2} + 1$ $2^{32}\cdot 3^{8}\cdot 5^{12}$ $C_4\times C_2^2$ (as 16T2) $[8]$ $1560.85801125$
16.16.687...000.1 $x^{16} - 16 x^{14} + 105 x^{12} - 364 x^{10} + 714 x^{8} - 784 x^{6} + 440 x^{4} - 96 x^{2} + 1$ $2^{32}\cdot 3^{8}\cdot 5^{12}$ $C_4\times C_2^2$ (as 16T2) trivial $361725.540601$
16.0.687...000.2 $x^{16} + 21 x^{12} + 86 x^{8} + 36 x^{4} + 1$ $2^{32}\cdot 3^{8}\cdot 5^{12}$ $C_4\times C_2^2$ (as 16T2) $[8]$ $9885.67249618$
16.0.687...000.3 $x^{16} + 29 x^{12} + 246 x^{8} + 524 x^{4} + 1$ $2^{32}\cdot 3^{8}\cdot 5^{12}$ $C_4\times C_2^2$ (as 16T2) $[2, 2]$ $16694.3932435$
16.0.687...000.4 $x^{16} + 4 x^{14} + 15 x^{12} + 56 x^{10} + 209 x^{8} + 56 x^{6} + 15 x^{4} + 4 x^{2} + 1$ $2^{32}\cdot 3^{8}\cdot 5^{12}$ $C_4\times C_2^2$ (as 16T2) $[2, 2]$ $15197.4244561$
16.0.687...000.5 $x^{16} + 8 x^{14} + 45 x^{12} + 128 x^{10} + 264 x^{8} + 212 x^{6} + 125 x^{4} + 12 x^{2} + 1$ $2^{32}\cdot 3^{8}\cdot 5^{12}$ $C_4\times C_2^2$ (as 16T2) $[2, 4]$ $7114.13535725$
16.0.687...000.6 $x^{16} - 15 x^{12} + 200 x^{8} - 375 x^{4} + 625$ $2^{32}\cdot 3^{8}\cdot 5^{12}$ $C_4\times C_2^2$ (as 16T2) $[2, 2]$ $27342.8963735$
16.0.687...000.7 $x^{16} - 4 x^{14} + 15 x^{12} - 56 x^{10} + 209 x^{8} - 56 x^{6} + 15 x^{4} - 4 x^{2} + 1$ $2^{32}\cdot 3^{8}\cdot 5^{12}$ $C_4\times C_2^2$ (as 16T2) $[8]$ $27342.8963735$
16.0.687...000.8 $x^{16} - 8 x^{14} + 45 x^{12} - 128 x^{10} + 264 x^{8} - 212 x^{6} + 125 x^{4} - 12 x^{2} + 1$ $2^{32}\cdot 3^{8}\cdot 5^{12}$ $C_4\times C_2^2$ (as 16T2) $[2, 2]$ $29315.3855927$
16.0.687...000.9 $x^{16} - 9 x^{12} + 81 x^{8} - 729 x^{4} + 6561$ $2^{32}\cdot 3^{8}\cdot 5^{12}$ $C_4\times C_2^2$ (as 16T2) $[8]$ $29315.3855927$
16.0.100...776.1 $x^{16} + 3 x^{14} - 9 x^{12} + 62 x^{10} + 327 x^{8} - 126 x^{6} - 146 x^{4} - 36 x^{2} + 81$ $2^{16}\cdot 3^{8}\cdot 13^{12}$ $C_4\times C_2^2$ (as 16T2) $[4]$ $46563.6853863$
16.0.111...625.1 $x^{16} - x^{15} - 4 x^{14} + 13 x^{13} - 13 x^{12} + 49 x^{11} + 132 x^{10} - 637 x^{9} + 381 x^{8} + 2548 x^{7} + 2112 x^{6} - 3136 x^{5} - 3328 x^{4} - 13312 x^{3} - 16384 x^{2} + 16384 x + 65536$ $3^{8}\cdot 5^{12}\cdot 17^{8}$ $C_4\times C_2^2$ (as 16T2) $[6]$ $38248.3956886$
16.0.130...000.1 $x^{16} - 7 x^{14} + 40 x^{12} - 217 x^{10} + 1159 x^{8} - 1953 x^{6} + 3240 x^{4} - 5103 x^{2} + 6561$ $2^{16}\cdot 5^{12}\cdot 13^{8}$ $C_4\times C_2^2$ (as 16T2) $[4]$ $51924.3982642$
16.0.236...000.1 $x^{16} - 2 x^{15} - 5 x^{14} + 20 x^{13} + 19 x^{12} + 88 x^{11} - 497 x^{10} + 10 x^{9} + 3711 x^{8} - 3712 x^{7} + 2758 x^{6} - 1816 x^{5} + 1084 x^{4} - 464 x^{3} + 184 x^{2} - 64 x + 16$ $2^{24}\cdot 5^{12}\cdot 7^{8}$ $C_4\times C_2^2$ (as 16T2) $[5]$ $85253.3675979$
16.0.236...000.2 $x^{16} - 8 x^{15} + 48 x^{14} - 196 x^{13} + 656 x^{12} - 1752 x^{11} + 3898 x^{10} - 7148 x^{9} + 10467 x^{8} - 11960 x^{7} + 8262 x^{6} - 264 x^{5} + 372 x^{4} - 6272 x^{3} + 4376 x^{2} - 480 x + 16$ $2^{24}\cdot 5^{12}\cdot 7^{8}$ $C_4\times C_2^2$ (as 16T2) $[4]$ $34736.104354$
16.0.272...625.1 $x^{16} - x^{15} + 5 x^{14} - 14 x^{13} + 14 x^{12} + 31 x^{11} - 30 x^{10} + 434 x^{9} - 1059 x^{8} + 2170 x^{7} - 750 x^{6} + 3875 x^{5} + 8750 x^{4} - 43750 x^{3} + 78125 x^{2} - 78125 x + 390625$ $3^{8}\cdot 5^{12}\cdot 19^{8}$ $C_4\times C_2^2$ (as 16T2) $[8]$ $49344.1781525$
16.0.450...000.1 $x^{16} + 12 x^{14} + 114 x^{12} + 312 x^{10} + 608 x^{8} + 624 x^{6} + 456 x^{4} + 96 x^{2} + 16$ $2^{44}\cdot 3^{8}\cdot 5^{8}$ $C_4\times C_2^2$ (as 16T2) $[20]$ $12198.9512748$
16.0.450...000.2 $x^{16} - 12 x^{14} + 114 x^{12} - 312 x^{10} + 608 x^{8} - 624 x^{6} + 456 x^{4} - 96 x^{2} + 16$ $2^{44}\cdot 3^{8}\cdot 5^{8}$ $C_4\times C_2^2$ (as 16T2) $[2]$ $67549.6577055$
16.0.597...625.1 $x^{16} - x^{15} - 4 x^{14} - 41 x^{13} + 6 x^{12} + 184 x^{11} + 163 x^{10} + 452 x^{9} + 1014 x^{8} + 599 x^{7} + 632 x^{6} + 1090 x^{5} - 89 x^{4} - 384 x^{3} + 126 x^{2} - 108 x + 81$ $3^{8}\cdot 5^{8}\cdot 13^{12}$ $C_4\times C_2^2$ (as 16T2) $[4]$ $57289.5984617$
16.0.603...936.1 $x^{16} - 113 x^{8} + 6561$ $2^{48}\cdot 11^{8}$ $C_4\times C_2^2$ (as 16T2) $[5]$ $82984.742906$
16.0.687...000.1 $x^{16} + 175 x^{8} + 625$ $2^{48}\cdot 5^{12}$ $C_4\times C_2^2$ (as 16T2) $[10]$ $42649.7127656$
16.0.100...376.1 $x^{16} - 27 x^{12} + 366 x^{8} - 308 x^{4} + 81$ $2^{32}\cdot 13^{12}$ $C_4\times C_2^2$ (as 16T2) $[3]$ $109807.019117$
16.0.111...000.1 $x^{16} - 9 x^{14} + 65 x^{12} - 441 x^{10} + 2929 x^{8} - 7056 x^{6} + 16640 x^{4} - 36864 x^{2} + 65536$ $2^{16}\cdot 5^{12}\cdot 17^{8}$ $C_4\times C_2^2$ (as 16T2) $[4]$ $114932.409132$
16.0.125...625.1 $x^{16} - x^{15} + 6 x^{14} - 17 x^{13} + 17 x^{12} + 49 x^{11} - 78 x^{10} + 833 x^{9} - 2129 x^{8} + 4998 x^{7} - 2808 x^{6} + 10584 x^{5} + 22032 x^{4} - 132192 x^{3} + 279936 x^{2} - 279936 x + 1679616$ $3^{8}\cdot 5^{12}\cdot 23^{8}$ $C_4\times C_2^2$ (as 16T2) $[15]$ $93215.7577208$
16.0.229...976.1 $x^{16} + 799 x^{8} + 6561$ $2^{48}\cdot 13^{8}$ $C_4\times C_2^2$ (as 16T2) $[15]$ $108889.885552$
16.0.250...656.1 $x^{16} - 13 x^{14} + 129 x^{12} - 494 x^{10} + 1430 x^{8} - 494 x^{6} + 129 x^{4} - 13 x^{2} + 1$ $2^{16}\cdot 3^{8}\cdot 17^{12}$ $C_4\times C_2^2$ (as 16T2) $[20]$ $165082.730127$
16.0.271...000.1 $x^{16} + 9 x^{14} + 56 x^{12} + 279 x^{10} + 1111 x^{8} + 6975 x^{6} + 35000 x^{4} + 140625 x^{2} + 390625$ $2^{16}\cdot 5^{12}\cdot 19^{8}$ $C_4\times C_2^2$ (as 16T2) $[2, 8]$ $123279.066823$
16.0.301...625.1 $x^{16} - 9 x^{14} + 80 x^{12} - 711 x^{10} + 6319 x^{8} - 711 x^{6} + 80 x^{4} - 9 x^{2} + 1$ $5^{12}\cdot 7^{8}\cdot 11^{8}$ $C_4\times C_2^2$ (as 16T2) $[2, 2, 2]$ $125968.724253$
16.0.596...000.1 $x^{16} - 9 x^{14} + 135 x^{12} - 90 x^{10} + 663 x^{8} - 270 x^{6} + 1150 x^{4} + 108 x^{2} + 81$ $2^{16}\cdot 5^{8}\cdot 13^{12}$ $C_4\times C_2^2$ (as 16T2) $[4]$ $213280.05844$
16.0.605...000.1 $x^{16} + 12 x^{14} + 110 x^{12} + 362 x^{10} + 879 x^{8} + 758 x^{6} + 495 x^{4} + 23 x^{2} + 1$ $2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 7^{8}$ $C_4\times C_2^2$ (as 16T2) $[4, 8]$ $22762.237605$
16.16.605...000.1 $x^{16} - 28 x^{14} + 274 x^{12} - 1262 x^{10} + 3051 x^{8} - 3970 x^{6} + 2635 x^{4} - 725 x^{2} + 25$ $2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 7^{8}$ $C_4\times C_2^2$ (as 16T2) trivial $4244913.2994$
16.0.605...000.2 $x^{16} + 21 x^{14} + 210 x^{12} + 1104 x^{10} + 3329 x^{8} + 5124 x^{6} + 4320 x^{4} + 1536 x^{2} + 256$ $2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 7^{8}$ $C_4\times C_2^2$ (as 16T2) $[4, 8]$ $3121.7160225$
16.0.605...000.3 $x^{16} + 29 x^{14} + 336 x^{12} + 1979 x^{10} + 6231 x^{8} + 10055 x^{6} + 7040 x^{4} + 1125 x^{2} + 25$ $2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 7^{8}$ $C_4\times C_2^2$ (as 16T2) $[4, 8]$ $14409.2792961$
16.0.605...000.4 $x^{16} + 4 x^{14} + 50 x^{12} - 114 x^{10} + 1259 x^{8} - 3294 x^{6} + 11675 x^{4} - 15881 x^{2} + 22801$ $2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 7^{8}$ $C_4\times C_2^2$ (as 16T2) $[2, 2, 2]$ $67203.8653181$
16.0.605...000.5 $x^{16} + 5 x^{14} + 24 x^{12} + 115 x^{10} + 551 x^{8} + 115 x^{6} + 24 x^{4} + 5 x^{2} + 1$ $2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 7^{8}$ $C_4\times C_2^2$ (as 16T2) $[2, 2, 2]$ $63425.6271299$
16.0.605...000.6 $x^{16} - 11 x^{14} + 96 x^{12} - 781 x^{10} + 6191 x^{8} - 19525 x^{6} + 60000 x^{4} - 171875 x^{2} + 390625$ $2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 7^{8}$ $C_4\times C_2^2$ (as 16T2) $[4, 8]$ $107520.786508$
16.0.605...000.7 $x^{16} - 19 x^{14} + 240 x^{12} - 1741 x^{10} + 9219 x^{8} - 29161 x^{6} + 63200 x^{4} - 33759 x^{2} + 14641$ $2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 7^{8}$ $C_4\times C_2^2$ (as 16T2) $[2, 2, 2]$ $76884.6053994$
16.0.605...000.8 $x^{16} - 2 x^{15} - 25 x^{14} + 50 x^{13} + 254 x^{12} - 442 x^{11} - 1452 x^{10} + 2200 x^{9} + 4686 x^{8} - 7282 x^{7} - 5457 x^{6} + 3214 x^{5} + 30374 x^{4} + 11566 x^{3} + 3134 x^{2} - 9304 x + 2101$ $2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 7^{8}$ $C_4\times C_2^2$ (as 16T2) $[4, 8]$ $76884.6053994$
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