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Label Polynomial Discriminant Galois group Class group Regulator
16.4.118...424.5 $x^{16} - 8 x^{12} + 4 x^{8} + 16 x^{4} + 4$ $2^{70}$ $C_4^2.(C_2\times C_4)$ (as 16T362) trivial $29164.8240802$
16.4.118...424.6 $x^{16} + 8 x^{12} + 4 x^{8} - 16 x^{4} + 4$ $2^{70}$ $C_4^2.(C_2\times C_4)$ (as 16T362) trivial $29164.8240802$
16.4.118...424.22 $x^{16} + 4 x^{12} - 2 x^{8} - 12 x^{4} + 1$ $2^{70}$ $C_4^2.(C_2\times C_4)$ (as 16T362) trivial $28335.59174444728$
16.4.118...424.23 $x^{16} - 4 x^{12} - 2 x^{8} + 12 x^{4} + 1$ $2^{70}$ $C_4^2.(C_2\times C_4)$ (as 16T362) trivial $28335.59174444728$
16.4.774...864.85 $x^{16} - 24 x^{12} - 124 x^{8} - 144 x^{4} + 4$ $2^{70}\cdot 3^{8}$ $C_4^2.(C_2\times C_4)$ (as 16T362) trivial $3610233.966854828$
16.4.774...864.89 $x^{16} + 8 x^{12} - 60 x^{8} - 16 x^{4} + 4$ $2^{70}\cdot 3^{8}$ $C_4^2.(C_2\times C_4)$ (as 16T362) trivial $5584151.64092139$
16.4.774...864.91 $x^{16} - 8 x^{12} - 60 x^{8} + 16 x^{4} + 4$ $2^{70}\cdot 3^{8}$ $C_4^2.(C_2\times C_4)$ (as 16T362) trivial $5584151.64092139$
16.4.774...864.95 $x^{16} + 24 x^{12} - 124 x^{8} + 144 x^{4} + 4$ $2^{70}\cdot 3^{8}$ $C_4^2.(C_2\times C_4)$ (as 16T362) trivial $3610233.966854828$
16.4.774...864.179 $x^{16} + 36 x^{12} - 162 x^{8} - 8748 x^{4} + 6561$ $2^{70}\cdot 3^{8}$ $C_4^2.(C_2\times C_4)$ (as 16T362) trivial $2335654.291263398$
16.4.774...864.181 $x^{16} - 36 x^{12} - 162 x^{8} + 8748 x^{4} + 6561$ $2^{70}\cdot 3^{8}$ $C_4^2.(C_2\times C_4)$ (as 16T362) trivial $2335654.291263398$
16.4.774...864.184 $x^{16} + 72 x^{12} + 324 x^{8} - 11664 x^{4} + 26244$ $2^{70}\cdot 3^{8}$ $C_4^2.(C_2\times C_4)$ (as 16T362) trivial $2364275.9773017$
16.4.774...864.186 $x^{16} - 72 x^{12} + 324 x^{8} + 11664 x^{4} + 26244$ $2^{70}\cdot 3^{8}$ $C_4^2.(C_2\times C_4)$ (as 16T362) trivial $2364275.9773017$
16.4.527...609.6 $x^{16} - 3 x^{15} + 9 x^{14} + 17 x^{13} - 14 x^{12} + 197 x^{11} + 382 x^{10} + 272 x^{9} + 1650 x^{8} + 2083 x^{7} + 874 x^{6} + 4449 x^{5} + 1772 x^{4} - 1789 x^{3} + 67 x^{2} - 51 x + 13$ $17^{12}\cdot 67^{6}$ $C_4^2.(C_2\times C_4)$ (as 16T362) trivial $3083861.57137$
16.4.527...609.12 $x^{16} - 3 x^{15} + 10 x^{14} - 36 x^{13} - 45 x^{12} + 334 x^{11} - 90 x^{10} - 918 x^{9} + 1057 x^{8} + 305 x^{7} - 3257 x^{6} + 7824 x^{5} - 9426 x^{4} + 4926 x^{3} + 102 x^{2} - 1076 x + 293$ $17^{12}\cdot 67^{6}$ $C_4^2.(C_2\times C_4)$ (as 16T362) trivial $3083861.57137$
16.4.627...984.190 $x^{16} - 12 x^{12} - 306 x^{8} - 540 x^{4} + 81$ $2^{70}\cdot 3^{12}$ $C_4^2.(C_2\times C_4)$ (as 16T362) trivial $42202634.83504419$
16.4.627...984.196 $x^{16} - 60 x^{12} - 306 x^{8} - 108 x^{4} + 81$ $2^{70}\cdot 3^{12}$ $C_4^2.(C_2\times C_4)$ (as 16T362) trivial $40271886.96234334$
16.4.627...984.201 $x^{16} + 60 x^{12} - 306 x^{8} + 108 x^{4} + 81$ $2^{70}\cdot 3^{12}$ $C_4^2.(C_2\times C_4)$ (as 16T362) trivial $40271886.96234334$
16.4.627...984.207 $x^{16} + 12 x^{12} - 306 x^{8} + 540 x^{4} + 81$ $2^{70}\cdot 3^{12}$ $C_4^2.(C_2\times C_4)$ (as 16T362) trivial $42202634.83504419$
16.0.237...569.5 $x^{16} - 15 x^{14} + 151 x^{12} - 717 x^{10} + 2854 x^{8} - 3123 x^{6} + 2281 x^{4} - 858 x^{2} + 169$ $13^{6}\cdot 53^{12}$ $C_4^2.(C_2\times C_4)$ (as 16T362) $[2]$ $4276329.8638$
16.0.237...569.12 $x^{16} - 6 x^{15} + 16 x^{14} - 68 x^{13} + 342 x^{12} - 1142 x^{11} + 3023 x^{10} - 8023 x^{9} + 21303 x^{8} - 48948 x^{7} + 88990 x^{6} - 124556 x^{5} + 133351 x^{4} - 107940 x^{3} + 66181 x^{2} - 28928 x + 9343$ $13^{6}\cdot 53^{12}$ $C_4^2.(C_2\times C_4)$ (as 16T362) $[2]$ $4276329.8638$
16.4.334...009.5 $x^{16} - 22 x^{14} - 16 x^{13} + 221 x^{12} + 100 x^{11} - 1334 x^{10} + 165 x^{9} + 4294 x^{8} - 3942 x^{7} + 8155 x^{6} - 16248 x^{5} - 4194 x^{4} + 5171 x^{3} + 14754 x^{2} - 5907 x - 2921$ $23^{6}\cdot 41^{12}$ $C_4^2.(C_2\times C_4)$ (as 16T362) trivial $33499088.4275$
16.4.334...009.8 $x^{16} - 3 x^{15} - 14 x^{14} + 45 x^{13} + 64 x^{12} - 214 x^{11} - 114 x^{10} + 311 x^{9} + 105 x^{8} + 339 x^{7} - 747 x^{6} - 534 x^{5} + 187 x^{4} + 118 x^{3} - 27 x^{2} - 14 x + 1$ $23^{6}\cdot 41^{12}$ $C_4^2.(C_2\times C_4)$ (as 16T362) trivial $33499088.4275$
16.4.487...625.2 $x^{16} - 4 x^{15} + 5 x^{14} - 40 x^{12} - 22 x^{11} + 73 x^{10} - 565 x^{9} + 60 x^{8} - 25 x^{7} - 4217 x^{6} + 5543 x^{5} - 12745 x^{4} + 5035 x^{3} - 5760 x^{2} - 8619 x - 509$ $5^{14}\cdot 19^{14}$ $C_4^2.(C_2\times C_4)$ (as 16T362) $[2]$ $39704475.1942$
16.4.487...625.3 $x^{16} - 8 x^{15} + 30 x^{14} - 70 x^{13} + 90 x^{12} + 6 x^{11} - 623 x^{10} + 2345 x^{9} - 5600 x^{8} + 9540 x^{7} - 13903 x^{6} + 16919 x^{5} - 13955 x^{4} + 6780 x^{3} + 9520 x^{2} - 11072 x + 2816$ $5^{14}\cdot 19^{14}$ $C_4^2.(C_2\times C_4)$ (as 16T362) $[2]$ $39704475.1942$
16.0.128...689.2 $x^{16} + 10 x^{14} + 185 x^{12} + 757 x^{10} + 1270 x^{8} + 1631 x^{6} + 1307 x^{4} - 559 x^{2} + 169$ $13^{6}\cdot 61^{12}$ $C_4^2.(C_2\times C_4)$ (as 16T362) $[2]$ $12543017.9071$
16.0.128...689.9 $x^{16} + 23 x^{14} - 14 x^{13} + 233 x^{12} - 394 x^{11} + 1456 x^{10} - 3098 x^{9} + 7809 x^{8} - 10674 x^{7} + 30286 x^{6} - 25001 x^{5} + 64978 x^{4} - 52949 x^{3} + 65697 x^{2} - 50801 x + 13009$ $13^{6}\cdot 61^{12}$ $C_4^2.(C_2\times C_4)$ (as 16T362) $[2]$ $12543017.9071$
16.4.152...001.1 $x^{16} - 8 x^{15} + 34 x^{14} - 47 x^{13} - 294 x^{12} + 2130 x^{11} - 7099 x^{10} + 12525 x^{9} - 2102 x^{8} - 54250 x^{7} + 158343 x^{6} - 197272 x^{5} - 83076 x^{4} + 884345 x^{3} - 1724854 x^{2} + 1538454 x - 530707$ $17^{14}\cdot 67^{6}$ $C_4^2.(C_2\times C_4)$ (as 16T362) $[2]$ $36691458.498$
16.4.152...001.10 $x^{16} - 5 x^{15} + 29 x^{13} - 105 x^{12} + 378 x^{11} + 1185 x^{10} - 1986 x^{9} - 11838 x^{8} - 28454 x^{7} + 25544 x^{6} + 208619 x^{5} + 258796 x^{4} + 95213 x^{3} + 2159 x^{2} - 36202 x - 30941$ $17^{14}\cdot 67^{6}$ $C_4^2.(C_2\times C_4)$ (as 16T362) $[2]$ $36691458.498$
16.0.176...625.6 $x^{16} - 5 x^{15} + 3 x^{14} + 41 x^{13} - 80 x^{12} - 249 x^{11} + 1861 x^{10} - 3423 x^{9} + 1364 x^{8} + 4069 x^{7} + 11547 x^{6} - 69533 x^{5} + 149040 x^{4} - 139080 x^{3} + 52374 x^{2} - 17640 x + 14545$ $5^{6}\cdot 101^{12}$ $C_4^2.(C_2\times C_4)$ (as 16T362) $[10]$ $8976584.4771$
16.0.176...625.7 $x^{16} - 8 x^{15} + 18 x^{14} + 14 x^{13} - 26 x^{12} - 390 x^{11} + 70 x^{10} + 4512 x^{9} - 3064 x^{8} - 21394 x^{7} + 18738 x^{6} + 44326 x^{5} - 28216 x^{4} - 54798 x^{3} - 76 x^{2} + 40293 x + 34225$ $5^{6}\cdot 101^{12}$ $C_4^2.(C_2\times C_4)$ (as 16T362) $[10]$ $8976584.4771$
16.4.431...641.1 $x^{16} - 4 x^{15} + 9 x^{14} - 14 x^{13} - 25 x^{12} + 234 x^{11} - 182 x^{10} - 1111 x^{9} - 3477 x^{8} + 20507 x^{7} - 16037 x^{6} - 61140 x^{5} + 109109 x^{4} + 125536 x^{3} - 149871 x^{2} - 246763 x - 79739$ $3^{14}\cdot 37^{14}$ $C_4^2.(C_2\times C_4)$ (as 16T362) $[2]$ $259682502.671$
16.4.431...641.3 $x^{16} - 6 x^{15} + 16 x^{14} - 18 x^{13} + 199 x^{12} - 1038 x^{11} + 1588 x^{10} + 5130 x^{9} - 21554 x^{8} + 22062 x^{7} + 22672 x^{6} - 84048 x^{5} + 91072 x^{4} - 6450 x^{3} - 255608 x^{2} + 186024 x + 273289$ $3^{14}\cdot 37^{14}$ $C_4^2.(C_2\times C_4)$ (as 16T362) $[2]$ $259682502.671$
16.4.951...921.3 $x^{16} - 4 x^{15} + 5 x^{14} - 71 x^{12} + 1078 x^{11} - 1915 x^{10} - 3468 x^{9} + 14030 x^{8} + 8206 x^{7} - 78053 x^{6} - 37323 x^{5} + 624796 x^{4} - 1048452 x^{3} + 790858 x^{2} - 290516 x - 50209$ $41^{12}\cdot 59^{6}$ $C_4^2.(C_2\times C_4)$ (as 16T362) trivial $508465699.287$
16.4.951...921.4 $x^{16} - 4 x^{15} + 21 x^{13} + 20 x^{12} - 165 x^{11} + 269 x^{10} - 1391 x^{9} + 3852 x^{8} + 3535 x^{7} - 22943 x^{6} + 20250 x^{5} - 9269 x^{4} + 15161 x^{3} - 20827 x^{2} + 9630 x - 713$ $41^{12}\cdot 59^{6}$ $C_4^2.(C_2\times C_4)$ (as 16T362) trivial $508465699.287$
16.4.561...129.3 $x^{16} - 3 x^{15} - 10 x^{14} + 41 x^{13} - 202 x^{12} + 569 x^{11} + 3266 x^{10} - 14657 x^{9} + 3613 x^{8} + 125778 x^{7} - 365580 x^{6} - 729488 x^{5} + 2884896 x^{4} + 3852032 x^{3} - 7875776 x^{2} - 12677504 x - 2462464$ $23^{6}\cdot 41^{14}$ $C_4^2.(C_2\times C_4)$ (as 16T362) $[2, 2]$ $2790576228.47$
16.4.561...129.15 $x^{16} - 7 x^{15} + 19 x^{14} - 78 x^{13} - 28 x^{12} + 3576 x^{11} - 3846 x^{10} - 650 x^{9} - 5638 x^{8} - 3048 x^{7} + 1392 x^{6} + 2824 x^{5} + 3637 x^{4} + 2497 x^{3} + 755 x^{2} + 70 x - 4$ $23^{6}\cdot 41^{14}$ $C_4^2.(C_2\times C_4)$ (as 16T362) $[2, 2]$ $2790576228.47$
16.4.737...889.3 $x^{16} - 8 x^{15} + 34 x^{14} - 68 x^{13} - 73 x^{12} - 8 x^{11} + 1956 x^{10} - 7568 x^{9} + 12991 x^{8} - 10638 x^{7} + 1672 x^{6} + 2037 x^{5} + 2895 x^{4} + 3444 x^{3} - 16359 x^{2} + 24272 x - 11111$ $41^{12}\cdot 83^{6}$ $C_4^2.(C_2\times C_4)$ (as 16T362) trivial $1426049514.07$
16.4.737...889.4 $x^{16} - 6 x^{15} + 38 x^{14} - 322 x^{13} + 2002 x^{12} - 8188 x^{11} + 22305 x^{10} - 43833 x^{9} + 68941 x^{8} - 97410 x^{7} + 121836 x^{6} - 111702 x^{5} + 52971 x^{4} + 11598 x^{3} - 32019 x^{2} + 18758 x - 3823$ $41^{12}\cdot 83^{6}$ $C_4^2.(C_2\times C_4)$ (as 16T362) trivial $1426049514.07$
16.8.127...496.1 $x^{16} - 16 x^{14} - 84 x^{12} + 1536 x^{10} + 3130 x^{8} - 28272 x^{6} - 82092 x^{4} - 37600 x^{2} + 2209$ $2^{70}\cdot 47^{6}$ $C_4^2.(C_2\times C_4)$ (as 16T362) trivial $7025756974.37$
16.0.127...496.1 $x^{16} + 64 x^{14} + 1400 x^{12} + 13296 x^{10} + 63428 x^{8} + 156160 x^{6} + 181648 x^{4} + 73696 x^{2} + 8836$ $2^{70}\cdot 47^{6}$ $C_4^2.(C_2\times C_4)$ (as 16T362) $[2, 2, 926]$ $276572.3897$
16.16.127...496.1 $x^{16} - 48 x^{14} + 772 x^{12} - 5792 x^{10} + 22430 x^{8} - 45872 x^{6} + 47348 x^{4} - 21056 x^{2} + 2209$ $2^{70}\cdot 47^{6}$ $C_4^2.(C_2\times C_4)$ (as 16T362) trivial $39170296162.0$
16.16.127...496.2 $x^{16} - 48 x^{14} + 884 x^{12} - 8288 x^{10} + 43034 x^{8} - 123664 x^{6} + 181356 x^{4} - 105280 x^{2} + 2209$ $2^{70}\cdot 47^{6}$ $C_4^2.(C_2\times C_4)$ (as 16T362) trivial $39170296162.0$
16.0.127...496.2 $x^{16} + 64 x^{14} + 1520 x^{12} + 17808 x^{10} + 111980 x^{8} + 374848 x^{6} + 602560 x^{4} + 344416 x^{2} + 8836$ $2^{70}\cdot 47^{6}$ $C_4^2.(C_2\times C_4)$ (as 16T362) $[2, 2, 926]$ $276572.3897$
16.8.127...496.2 $x^{16} - 16 x^{14} - 116 x^{12} + 1888 x^{10} - 98 x^{8} - 26832 x^{6} - 16516 x^{4} + 3008 x^{2} + 2209$ $2^{70}\cdot 47^{6}$ $C_4^2.(C_2\times C_4)$ (as 16T362) trivial $7025756974.37$
16.4.472...329.3 $x^{16} - 29 x^{14} - 284 x^{12} - 366 x^{11} + 2974 x^{10} - 28182 x^{9} + 95878 x^{8} - 176412 x^{7} + 183553 x^{6} + 268278 x^{5} - 299441 x^{4} + 582306 x^{3} + 1689988 x^{2} + 57096 x - 13520$ $3^{14}\cdot 61^{14}$ $C_4^2.(C_2\times C_4)$ (as 16T362) $[2]$ $12554833543.9$
16.4.472...329.4 $x^{16} - 8 x^{15} + 30 x^{14} - 70 x^{13} - 115 x^{12} + 1236 x^{11} - 2963 x^{10} + 2770 x^{9} + 2445 x^{8} - 11660 x^{7} + 106927 x^{6} - 283116 x^{5} - 1516861 x^{4} + 3493832 x^{3} + 2982456 x^{2} - 4774904 x + 13451440$ $3^{14}\cdot 61^{14}$ $C_4^2.(C_2\times C_4)$ (as 16T362) $[2]$ $12554833543.9$
16.0.720...881.13 $x^{16} - 4 x^{15} + 15 x^{14} - 146 x^{13} + 530 x^{12} - 1742 x^{11} + 11886 x^{10} - 43533 x^{9} + 86109 x^{8} - 161859 x^{7} + 528801 x^{6} - 1060517 x^{5} + 466404 x^{4} + 647937 x^{3} + 862606 x^{2} - 3001470 x + 1730321$ $37^{12}\cdot 149^{6}$ $C_4^2.(C_2\times C_4)$ (as 16T362) $[4]$ $597275788.994$
16.0.720...881.14 $x^{16} - 4 x^{15} - 30 x^{14} + 150 x^{13} + 786 x^{12} - 7116 x^{11} + 15453 x^{10} + 10501 x^{9} - 64309 x^{8} - 116891 x^{7} + 911067 x^{6} - 1869194 x^{5} + 941615 x^{4} + 1939636 x^{3} - 584309 x^{2} - 521466 x + 4327529$ $37^{12}\cdot 149^{6}$ $C_4^2.(C_2\times C_4)$ (as 16T362) $[4]$ $597275788.994$
16.4.270...129.2 $x^{16} - 4 x^{15} + x^{14} + 14 x^{13} - 66 x^{12} + 328 x^{11} - 581 x^{10} - 1286 x^{9} + 6733 x^{8} - 10018 x^{7} + 1621 x^{6} + 17678 x^{5} - 30486 x^{4} + 20014 x^{3} - 107 x^{2} - 4760 x + 867$ $13^{12}\cdot 23^{14}$ $C_4^2.(C_2\times C_4)$ (as 16T362) $[4]$ $15755393684.0$
16.4.270...129.3 $x^{16} - 230 x^{12} - 1794 x^{10} + 4439 x^{8} + 41262 x^{6} - 110561 x^{4} - 20631 x^{2} + 152881$ $13^{12}\cdot 23^{14}$ $C_4^2.(C_2\times C_4)$ (as 16T362) $[4]$ $15755393684.0$
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