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Label Polynomial Discriminant Galois group Class group Regulator
16.0.286...793.1 $x^{16} - x^{15} + x^{14} - x^{13} + x^{12} - x^{11} + x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1$ $17^{15}$ $C_{16}$ (as 16T1) trivial $3640.01221338$
16.16.187...873.1 $x^{16} - x^{15} - 16 x^{14} + 16 x^{13} + 103 x^{12} - 103 x^{11} - 339 x^{10} + 339 x^{9} + 596 x^{8} - 596 x^{7} - 526 x^{6} + 526 x^{5} + 188 x^{4} - 188 x^{3} - 16 x^{2} + 16 x + 1$ $3^{8}\cdot 17^{15}$ $C_{16}$ (as 16T1) trivial $608987.130491$
16.16.187...048.1 $x^{16} - 17 x^{14} + 119 x^{12} - 442 x^{10} + 935 x^{8} - 1122 x^{6} + 714 x^{4} - 204 x^{2} + 17$ $2^{16}\cdot 17^{15}$ $C_{16}$ (as 16T1) trivial $2254539.01207$
16.0.604...088.1 $x^{16} + 16 x^{14} + 104 x^{12} + 352 x^{10} + 660 x^{8} + 672 x^{6} + 336 x^{4} + 64 x^{2} + 2$ $2^{79}$ $C_{16}$ (as 16T1) $[17]$ $15753.9498624$
16.16.604...088.1 $x^{16} - 16 x^{14} + 104 x^{12} - 352 x^{10} + 660 x^{8} - 672 x^{6} + 336 x^{4} - 64 x^{2} + 2$ $2^{79}$ $C_{16}$ (as 16T1) trivial $6446247.11284$
16.0.111...625.1 $x^{16} - x^{15} + 18 x^{14} - 18 x^{13} + 137 x^{12} - 137 x^{11} + 579 x^{10} - 579 x^{9} + 1514 x^{8} - 1514 x^{7} + 2636 x^{6} - 2636 x^{5} + 3350 x^{4} - 3350 x^{3} + 3554 x^{2} - 3554 x + 3571$ $5^{8}\cdot 17^{15}$ $C_{16}$ (as 16T1) $[34]$ $3640.01221338$
16.16.165...193.1 $x^{16} - x^{15} - 33 x^{14} + 33 x^{13} + 443 x^{12} - 443 x^{11} - 3093 x^{10} + 3093 x^{9} + 11867 x^{8} - 11867 x^{7} - 24037 x^{6} + 24037 x^{5} + 21659 x^{4} - 21659 x^{3} - 4453 x^{2} + 4453 x - 101$ $7^{8}\cdot 17^{15}$ $C_{16}$ (as 16T1) trivial $18808281.0978$
16.0.480...288.1 $x^{16} + 34 x^{14} + 476 x^{12} + 3536 x^{10} + 14960 x^{8} + 35904 x^{6} + 45696 x^{4} + 26112 x^{2} + 4352$ $2^{24}\cdot 17^{15}$ $C_{16}$ (as 16T1) $[2, 194]$ $3640.01221338$
16.16.480...288.1 $x^{16} - 34 x^{14} + 476 x^{12} - 3536 x^{10} + 14960 x^{8} - 35904 x^{6} + 45696 x^{4} - 26112 x^{2} + 4352$ $2^{24}\cdot 17^{15}$ $C_{16}$ (as 16T1) trivial $36506602.0694$
16.16.613...633.1 $x^{16} - x^{15} - 50 x^{14} + 50 x^{13} + 1021 x^{12} - 1021 x^{11} - 10913 x^{10} + 10913 x^{9} + 64822 x^{8} - 64822 x^{7} - 207824 x^{6} + 207824 x^{5} + 312682 x^{4} - 312682 x^{3} - 133466 x^{2} + 133466 x - 21929$ $11^{8}\cdot 17^{15}$ $C_{16}$ (as 16T1) trivial $124319056.419$
16.16.698...625.1 $x^{16} - x^{15} - 33 x^{14} + 33 x^{13} + 392 x^{12} - 375 x^{11} - 2107 x^{10} + 1886 x^{9} + 5305 x^{8} - 4506 x^{7} - 5677 x^{6} + 5235 x^{5} + 1412 x^{4} - 2398 x^{3} + 732 x^{2} - 69 x + 1$ $5^{12}\cdot 17^{15}$ $C_{16}$ (as 16T1) $[2]$ $165867618.848$
16.16.698...625.2 $x^{16} - x^{15} - 33 x^{14} + 33 x^{13} + 392 x^{12} - 375 x^{11} - 2107 x^{10} + 1886 x^{9} + 5305 x^{8} - 4506 x^{7} - 5677 x^{6} + 4810 x^{5} + 1837 x^{4} - 1463 x^{3} - 118 x^{2} + 16 x + 1$ $5^{12}\cdot 17^{15}$ $C_{16}$ (as 16T1) $[2]$ $64656853.0779$
16.0.123...928.1 $x^{16} + 51 x^{14} + 1071 x^{12} + 11934 x^{10} + 75735 x^{8} + 272646 x^{6} + 520506 x^{4} + 446148 x^{2} + 111537$ $2^{16}\cdot 3^{8}\cdot 17^{15}$ $C_{16}$ (as 16T1) $[2, 2, 386]$ $3640.012213375973$
16.0.233...753.2 $x^{16} - x^{15} + 52 x^{14} - 52 x^{13} + 1123 x^{12} - 1123 x^{11} + 13057 x^{10} - 13057 x^{9} + 88792 x^{8} - 88792 x^{7} + 361438 x^{6} - 361438 x^{5} + 881944 x^{4} - 881944 x^{3} + 1328092 x^{2} - 1328092 x + 1439629$ $13^{8}\cdot 17^{15}$ $C_{16}$ (as 16T1) $[2, 2, 2, 226]$ $3640.01221338$
16.0.396...368.1 $x^{16} + 48 x^{14} + 936 x^{12} + 9504 x^{10} + 53460 x^{8} + 163296 x^{6} + 244944 x^{4} + 139968 x^{2} + 13122$ $2^{79}\cdot 3^{8}$ $C_{16}$ (as 16T1) $[802]$ $15753.94986242651$
16.16.396...368.1 $x^{16} - 48 x^{14} + 936 x^{12} - 9504 x^{10} + 53460 x^{8} - 163296 x^{6} + 244944 x^{4} - 139968 x^{2} + 13122$ $2^{79}\cdot 3^{8}$ $C_{16}$ (as 16T1) trivial $790401143.5134428$
16.16.733...625.1 $x^{16} - x^{15} - 67 x^{14} + 67 x^{13} + 1837 x^{12} - 1837 x^{11} - 26451 x^{10} + 26451 x^{9} + 212909 x^{8} - 212909 x^{7} - 936019 x^{6} + 936019 x^{5} + 1988525 x^{4} - 1988525 x^{3} - 1353811 x^{2} + 1353811 x - 239699$ $3^{8}\cdot 5^{8}\cdot 17^{15}$ $C_{16}$ (as 16T1) $[2]$ $240645181.88595447$
16.16.486...513.1 $x^{16} - x^{15} - 84 x^{14} + 84 x^{13} + 2891 x^{12} - 2891 x^{11} - 52359 x^{10} + 52359 x^{9} + 532016 x^{8} - 532016 x^{7} - 2974234 x^{6} + 2974234 x^{5} + 8182016 x^{4} - 8182016 x^{3} - 7755484 x^{2} + 7755484 x - 1114859$ $17^{15}\cdot 19^{8}$ $C_{16}$ (as 16T1) trivial $1110998666.2$
16.16.732...000.1 $x^{16} - 85 x^{14} + 2975 x^{12} - 55250 x^{10} + 584375 x^{8} - 3506250 x^{6} + 11156250 x^{4} - 15937500 x^{2} + 6640625$ $2^{16}\cdot 5^{8}\cdot 17^{15}$ $C_{16}$ (as 16T1) $[2]$ $665142870.9500847$
16.0.108...273.1 $x^{16} - x^{15} + 86 x^{14} - 86 x^{13} + 3061 x^{12} - 3061 x^{11} + 58311 x^{10} - 58311 x^{9} + 642686 x^{8} - 642686 x^{7} + 4148936 x^{6} - 4148936 x^{5} + 15305186 x^{4} - 15305186 x^{3} + 31242686 x^{2} - 31242686 x + 37883311$ $3^{8}\cdot 7^{8}\cdot 17^{15}$ $C_{16}$ (as 16T1) $[2, 3746]$ $3640.012213375973$
16.16.224...833.1 $x^{16} - x^{15} - 101 x^{14} + 101 x^{13} + 4183 x^{12} - 4183 x^{11} - 91289 x^{10} + 91289 x^{9} + 1120471 x^{8} - 1120471 x^{7} - 7604201 x^{6} + 7604201 x^{5} + 25708183 x^{4} - 25708183 x^{3} - 31398761 x^{2} + 31398761 x - 2845289$ $17^{15}\cdot 23^{8}$ $C_{16}$ (as 16T1) trivial $2165743017.62$
16.16.236...000.1 $x^{16} - 80 x^{14} + 2600 x^{12} - 44000 x^{10} + 412500 x^{8} - 2100000 x^{6} + 5250000 x^{4} - 5000000 x^{2} + 781250$ $2^{79}\cdot 5^{8}$ $C_{16}$ (as 16T1) $[2]$ $2057965528.1974995$
16.0.236...000.1 $x^{16} + 80 x^{14} + 2600 x^{12} + 44000 x^{10} + 412500 x^{8} + 2100000 x^{6} + 5250000 x^{4} + 5000000 x^{2} + 781250$ $2^{79}\cdot 5^{8}$ $C_{16}$ (as 16T1) $[11458]$ $15753.94986242651$
16.0.315...568.1 $x^{16} + 102 x^{14} + 4284 x^{12} + 95472 x^{10} + 1211760 x^{8} + 8724672 x^{6} + 33312384 x^{4} + 57106944 x^{2} + 28553472$ $2^{24}\cdot 3^{8}\cdot 17^{15}$ $C_{16}$ (as 16T1) $[2, 2, 4162]$ $3640.012213375973$
16.16.315...568.1 $x^{16} - 102 x^{14} + 4284 x^{12} - 95472 x^{10} + 1211760 x^{8} - 8724672 x^{6} + 33312384 x^{4} - 57106944 x^{2} + 28553472$ $2^{24}\cdot 3^{8}\cdot 17^{15}$ $C_{16}$ (as 16T1) $[2, 2]$ $721730725.292654$
16.16.633...593.1 $x^{16} - x^{15} - 45 x^{14} + 98 x^{13} + 650 x^{12} - 2183 x^{11} - 2576 x^{10} + 17205 x^{9} - 9748 x^{8} - 44003 x^{7} + 63779 x^{6} + 18576 x^{5} - 86644 x^{4} + 43324 x^{3} + 15475 x^{2} - 17690 x + 3721$ $97^{15}$ $C_{16}$ (as 16T1) trivial $4029722860.88$
16.0.108...448.1 $x^{16} + 119 x^{14} + 5831 x^{12} + 151606 x^{10} + 2244935 x^{8} + 18857454 x^{6} + 84001386 x^{4} + 168002772 x^{2} + 98001617$ $2^{16}\cdot 7^{8}\cdot 17^{15}$ $C_{16}$ (as 16T1) $[2, 2, 13666]$ $3640.012213375973$
16.0.143...073.1 $x^{16} - x^{15} + 120 x^{14} - 120 x^{13} + 5951 x^{12} - 5951 x^{11} + 157557 x^{10} - 157557 x^{9} + 2402492 x^{8} - 2402492 x^{7} + 21259946 x^{6} - 21259946 x^{5} + 105261332 x^{4} - 105261332 x^{3} + 273264104 x^{2} - 273264104 x + 371265721$ $17^{15}\cdot 29^{8}$ $C_{16}$ (as 16T1) $[40834]$ $3640.01221338$
16.16.244...713.1 $x^{16} - x^{15} - 135 x^{14} + 135 x^{13} + 7481 x^{12} - 7481 x^{11} - 218823 x^{10} + 218823 x^{9} + 3610937 x^{8} - 3610937 x^{7} - 33154759 x^{6} + 33154759 x^{5} + 154016057 x^{4} - 154016057 x^{3} - 273802951 x^{2} + 273802951 x + 11409721$ $17^{15}\cdot 31^{8}$ $C_{16}$ (as 16T1) trivial $6059891910.6$
16.0.348...488.4 $x^{16} + 112 x^{14} + 5096 x^{12} + 120736 x^{10} + 1584660 x^{8} + 11294304 x^{6} + 39530064 x^{4} + 52706752 x^{2} + 11529602$ $2^{79}\cdot 7^{8}$ $C_{16}$ (as 16T1) $[2, 27394]$ $15753.94986242651$
16.16.348...488.4 $x^{16} - 112 x^{14} + 5096 x^{12} - 120736 x^{10} + 1584660 x^{8} - 11294304 x^{6} + 39530064 x^{4} - 52706752 x^{2} + 11529602$ $2^{79}\cdot 7^{8}$ $C_{16}$ (as 16T1) trivial $14623409214.570478$
16.0.402...113.1 $x^{16} - x^{15} + 137 x^{14} - 137 x^{13} + 7753 x^{12} - 7753 x^{11} + 234057 x^{10} - 234057 x^{9} + 4063817 x^{8} - 4063817 x^{7} + 40829513 x^{6} - 40829513 x^{5} + 228000329 x^{4} - 228000329 x^{3} + 655819337 x^{2} - 655819337 x + 941032009$ $3^{8}\cdot 11^{8}\cdot 17^{15}$ $C_{16}$ (as 16T1) $[2, 28066]$ $3640.012213375973$
16.0.458...625.1 $x^{16} - x^{15} + 52 x^{14} - 52 x^{13} + 1072 x^{12} - 375 x^{11} + 10728 x^{10} + 4776 x^{9} + 67695 x^{8} + 76584 x^{7} + 217448 x^{6} + 420375 x^{5} + 129932 x^{4} - 901018 x^{3} + 2686052 x^{2} - 2023749 x + 459511$ $3^{8}\cdot 5^{12}\cdot 17^{15}$ $C_{16}$ (as 16T1) $[2, 7556]$ $81485.0410293661$
16.0.458...625.2 $x^{16} - x^{15} + 52 x^{14} - 52 x^{13} + 1072 x^{12} - 1395 x^{11} + 11748 x^{10} - 13839 x^{9} + 86310 x^{8} - 83556 x^{7} + 540278 x^{6} - 463965 x^{5} + 1553597 x^{4} - 771733 x^{3} + 3292187 x^{2} - 1949034 x + 2213401$ $3^{8}\cdot 5^{12}\cdot 17^{15}$ $C_{16}$ (as 16T1) $[2, 1412]$ $81485.0410293661$
16.0.625...257.1 $x^{16} - x^{15} + 4 x^{14} - 20 x^{13} + 110 x^{12} - 525 x^{11} + 325 x^{10} + 425 x^{9} + 12062 x^{8} + 21729 x^{7} + 64244 x^{6} + 119403 x^{5} + 154492 x^{4} + 132177 x^{3} + 210865 x^{2} + 281708 x + 132937$ $113^{15}$ $C_{16}$ (as 16T1) $[17]$ $22137831.685215954$
16.16.644...625.1 $x^{16} - x^{15} - 152 x^{14} + 152 x^{13} + 9487 x^{12} - 9487 x^{11} - 312731 x^{10} + 312731 x^{9} + 5821804 x^{8} - 5821804 x^{7} - 60431174 x^{6} + 60431174 x^{5} + 319017700 x^{4} - 319017700 x^{3} - 656707976 x^{2} + 656707976 x + 75086281$ $5^{8}\cdot 7^{8}\cdot 17^{15}$ $C_{16}$ (as 16T1) $[2]$ $7981880078.469981$
16.0.100...353.1 $x^{16} - x^{15} + 154 x^{14} - 154 x^{13} + 9793 x^{12} - 9793 x^{11} + 332011 x^{10} - 332011 x^{9} + 6466546 x^{8} - 6466546 x^{7} + 72719524 x^{6} - 72719524 x^{5} + 452168398 x^{4} - 452168398 x^{3} + 1427894074 x^{2} - 1427894074 x + 2159688331$ $17^{15}\cdot 37^{8}$ $C_{16}$ (as 16T1) $[83234]$ $3640.01221338$
16.16.153...433.1 $x^{16} - x^{15} - 169 x^{14} + 169 x^{13} + 11731 x^{12} - 11731 x^{11} - 430269 x^{10} + 430269 x^{9} + 8919731 x^{8} - 8919731 x^{7} - 103280269 x^{6} + 103280269 x^{5} + 610719731 x^{4} - 610719731 x^{3} - 1429280269 x^{2} + 1429280269 x + 270719731$ $3^{8}\cdot 13^{8}\cdot 17^{15}$ $C_{16}$ (as 16T1) $[2, 2]$ $6254168601.885075$
16.0.187...000.1 $x^{16} + 170 x^{14} + 11900 x^{12} + 442000 x^{10} + 9350000 x^{8} + 112200000 x^{6} + 714000000 x^{4} + 2040000000 x^{2} + 1700000000$ $2^{24}\cdot 5^{8}\cdot 17^{15}$ $C_{16}$ (as 16T1) $[2, 2, 38978]$ $3640.012213375973$
16.16.187...000.1 $x^{16} - 170 x^{14} + 11900 x^{12} - 442000 x^{10} + 9350000 x^{8} - 112200000 x^{6} + 714000000 x^{4} - 2040000000 x^{2} + 1700000000$ $2^{24}\cdot 5^{8}\cdot 17^{15}$ $C_{16}$ (as 16T1) $[2]$ $14013721515.886686$
16.0.228...953.1 $x^{16} - x^{15} + 171 x^{14} - 171 x^{13} + 12071 x^{12} - 12071 x^{11} + 454071 x^{10} - 454071 x^{9} + 9804071 x^{8} - 9804071 x^{7} + 122004071 x^{6} - 122004071 x^{5} + 836004071 x^{4} - 836004071 x^{3} + 2876004071 x^{2} - 2876004071 x + 4576004071$ $17^{15}\cdot 41^{8}$ $C_{16}$ (as 16T1) $[220354]$ $3640.01221338$
16.16.334...593.1 $x^{16} - x^{15} - 186 x^{14} + 186 x^{13} + 14213 x^{12} - 14213 x^{11} - 574089 x^{10} + 574089 x^{9} + 13115246 x^{8} - 13115246 x^{7} - 167583976 x^{6} + 167583976 x^{5} + 1097310578 x^{4} - 1097310578 x^{3} - 2878072306 x^{2} + 2878072306 x + 766028671$ $17^{15}\cdot 43^{8}$ $C_{16}$ (as 16T1) trivial $23684006739.7$
16.0.402...288.1 $x^{16} + 187 x^{14} + 14399 x^{12} + 588302 x^{10} + 13689335 x^{8} + 180699222 x^{6} + 1264894554 x^{4} + 3975382884 x^{2} + 3644100977$ $2^{16}\cdot 11^{8}\cdot 17^{15}$ $C_{16}$ (as 16T1) $[2, 94, 1598]$ $3640.012213375973$
16.0.457...000.1 $x^{16} + 85 x^{14} + 2720 x^{12} + 42075 x^{10} + 341275 x^{8} + 1510875 x^{6} + 3604000 x^{4} + 4218125 x^{2} + 1795625$ $2^{16}\cdot 5^{12}\cdot 17^{15}$ $C_{16}$ (as 16T1) $[2, 2, 2372]$ $81485.0410293661$
16.0.457...000.2 $x^{16} + 85 x^{14} + 2720 x^{12} + 42075 x^{10} + 329375 x^{8} + 1213375 x^{6} + 1632000 x^{4} + 690625 x^{2} + 10625$ $2^{16}\cdot 5^{12}\cdot 17^{15}$ $C_{16}$ (as 16T1) $[2, 2, 12868]$ $81485.0410293661$
16.16.503...888.1 $x^{16} - 68 x^{14} + 1802 x^{12} - 24072 x^{10} + 176528 x^{8} - 719984 x^{6} + 1532040 x^{4} - 1337696 x^{2} + 45968$ $2^{44}\cdot 17^{15}$ $C_{16}$ (as 16T1) $[4]$ $45913269728.96732$
16.0.503...888.1 $x^{16} + 68 x^{14} + 1802 x^{12} + 24072 x^{10} + 172720 x^{8} + 643824 x^{6} + 1067464 x^{4} + 493408 x^{2} + 45968$ $2^{44}\cdot 17^{15}$ $C_{16}$ (as 16T1) $[2, 2308]$ $308865.41107064753$
16.0.503...888.2 $x^{16} + 68 x^{14} + 1802 x^{12} + 24072 x^{10} + 176528 x^{8} + 719984 x^{6} + 1532040 x^{4} + 1337696 x^{2} + 45968$ $2^{44}\cdot 17^{15}$ $C_{16}$ (as 16T1) $[2, 6404]$ $308865.41107064753$
16.16.503...888.2 $x^{16} - 68 x^{14} + 1802 x^{12} - 24072 x^{10} + 172720 x^{8} - 643824 x^{6} + 1067464 x^{4} - 493408 x^{2} + 45968$ $2^{44}\cdot 17^{15}$ $C_{16}$ (as 16T1) $[4]$ $14724319671.573053$
16.16.666...433.1 $x^{16} - x^{15} - 84 x^{14} + 84 x^{13} + 2738 x^{12} - 2245 x^{11} - 45100 x^{10} + 20127 x^{9} + 417368 x^{8} + 13038 x^{7} - 2183632 x^{6} - 1155899 x^{5} + 5808017 x^{4} + 5988419 x^{3} - 5013027 x^{2} - 9372458 x - 3484829$ $13^{12}\cdot 17^{15}$ $C_{16}$ (as 16T1) $[4]$ $14623244314.8$
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