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Label Polynomial Discriminant Galois group Class group Regulator
16.8.604...088.1 $x^{16} - 16 x^{12} - 32 x^{10} + 72 x^{8} + 128 x^{6} + 32 x^{4} - 192 x^{2} + 8$ $2^{79}$ $C_2^7.C_8$ (as 16T1155) trivial $1724948.64777$
16.4.604...088.1 $x^{16} - 40 x^{12} + 144 x^{10} - 236 x^{8} + 176 x^{6} - 48 x^{4} + 2$ $2^{79}$ $C_2^7.C_8$ (as 16T1155) trivial $590539.358696$
16.8.604...088.2 $x^{16} - 24 x^{12} - 48 x^{10} + 292 x^{8} - 304 x^{6} + 144 x^{4} - 32 x^{2} + 2$ $2^{79}$ $C_2^7.C_8$ (as 16T1155) trivial $1789181.55805$
16.4.604...088.2 $x^{16} - 40 x^{12} - 144 x^{10} - 236 x^{8} - 176 x^{6} - 48 x^{4} + 2$ $2^{79}$ $C_2^7.C_8$ (as 16T1155) trivial $781927.960117$
16.0.604...088.2 $x^{16} - 16 x^{12} + 32 x^{10} + 72 x^{8} - 128 x^{6} + 32 x^{4} + 192 x^{2} + 8$ $2^{79}$ $C_2^7.C_8$ (as 16T1155) trivial $302852.196243$
16.0.604...088.3 $x^{16} - 24 x^{12} + 48 x^{10} + 292 x^{8} + 304 x^{6} + 144 x^{4} + 32 x^{2} + 2$ $2^{79}$ $C_2^7.C_8$ (as 16T1155) trivial $290297.922683$
16.4.604...088.16 $x^{16} - 8 x^{12} + 20 x^{8} - 16 x^{6} - 80 x^{4} - 32 x^{2} + 2$ $2^{79}$ $C_2^7.C_8$ (as 16T1155) trivial $597015.9991799914$
16.4.604...088.44 $x^{16} - 8 x^{12} + 20 x^{8} + 16 x^{6} - 80 x^{4} + 32 x^{2} + 2$ $2^{79}$ $C_2^7.C_8$ (as 16T1155) trivial $813192.475416877$
16.4.480...288.1 $x^{16} - 8 x^{15} + 30 x^{14} - 70 x^{13} + 101 x^{12} - 26 x^{11} - 370 x^{10} + 1430 x^{9} - 3399 x^{8} + 5976 x^{7} - 8266 x^{6} + 9144 x^{5} - 7906 x^{4} + 5380 x^{3} - 3124 x^{2} + 1464 x - 356$ $2^{24}\cdot 17^{15}$ $C_2^7.C_8$ (as 16T1155) $[4]$ $1228026.781219718$
16.4.576...953.2 $x^{16} - 8 x^{15} + 30 x^{14} - 70 x^{13} + 50 x^{12} + 246 x^{11} - 608 x^{10} + 70 x^{9} + 715 x^{8} + 570 x^{7} - 1840 x^{6} - 70 x^{5} + 1223 x^{4} + 144 x^{3} - 421 x^{2} - 32 x + 52$ $17^{15}\cdot 67^{4}$ $C_2^7.C_8$ (as 16T1155) $[4]$ $3090027.94632$
16.4.576...953.3 $x^{16} - 2 x^{15} - 13 x^{14} + 26 x^{13} - x^{12} + 19 x^{11} + 370 x^{10} - 332 x^{9} - 1359 x^{8} - 852 x^{7} - 1934 x^{6} - 1232 x^{5} - 749 x^{4} - 491 x^{3} - 55 x^{2} + 8 x + 52$ $17^{15}\cdot 67^{4}$ $C_2^7.C_8$ (as 16T1155) $[4]$ $3266009.09307$
16.8.396...368.16 $x^{16} - 216 x^{12} - 1296 x^{10} + 23652 x^{8} - 73872 x^{6} + 104976 x^{4} - 69984 x^{2} + 13122$ $2^{79}\cdot 3^{8}$ $C_2^7.C_8$ (as 16T1155) trivial $147415833.6028884$
16.8.396...368.34 $x^{16} - 144 x^{12} - 864 x^{10} + 5832 x^{8} + 31104 x^{6} + 23328 x^{4} - 419904 x^{2} + 52488$ $2^{79}\cdot 3^{8}$ $C_2^7.C_8$ (as 16T1155) trivial $149334328.63481638$
16.4.396...368.76 $x^{16} - 72 x^{12} + 1620 x^{8} - 3888 x^{6} - 58320 x^{4} - 69984 x^{2} + 13122$ $2^{79}\cdot 3^{8}$ $C_2^7.C_8$ (as 16T1155) trivial $61895013.23155249$
16.4.396...368.86 $x^{16} - 360 x^{12} - 3888 x^{10} - 19116 x^{8} - 42768 x^{6} - 34992 x^{4} + 13122$ $2^{79}\cdot 3^{8}$ $C_2^7.C_8$ (as 16T1155) trivial $48822524.5863107$
16.4.396...368.87 $x^{16} - 360 x^{12} + 3888 x^{10} - 19116 x^{8} + 42768 x^{6} - 34992 x^{4} + 13122$ $2^{79}\cdot 3^{8}$ $C_2^7.C_8$ (as 16T1155) trivial $60222188.15929327$
16.4.396...368.115 $x^{16} - 72 x^{12} + 1620 x^{8} + 3888 x^{6} - 58320 x^{4} + 69984 x^{2} + 13122$ $2^{79}\cdot 3^{8}$ $C_2^7.C_8$ (as 16T1155) trivial $50441481.292999975$
16.0.396...368.640 $x^{16} - 216 x^{12} + 1296 x^{10} + 23652 x^{8} + 73872 x^{6} + 104976 x^{4} + 69984 x^{2} + 13122$ $2^{79}\cdot 3^{8}$ $C_2^7.C_8$ (as 16T1155) $[2]$ $11881987.216611939$
16.0.396...368.716 $x^{16} - 144 x^{12} + 864 x^{10} + 5832 x^{8} - 31104 x^{6} + 23328 x^{4} + 419904 x^{2} + 52488$ $2^{79}\cdot 3^{8}$ $C_2^7.C_8$ (as 16T1155) $[2]$ $11711189.410191346$
16.0.258...017.1 $x^{16} - 3 x^{15} + 43 x^{14} - 27 x^{13} + 336 x^{12} - 260 x^{11} + 4860 x^{10} - 7423 x^{9} + 18631 x^{8} - 12815 x^{7} + 16294 x^{6} + 2050 x^{5} + 1041 x^{4} + 6176 x^{3} + 1532 x^{2} + 368 x + 1072$ $17^{15}\cdot 67^{6}$ $C_2^7.C_8$ (as 16T1155) $[2, 2, 2, 4]$ $11587720.4774$
16.8.258...017.1 $x^{16} - 6 x^{15} + 2 x^{14} + 22 x^{13} - 115 x^{12} + 877 x^{11} - 1233 x^{10} - 1391 x^{9} + 2872 x^{8} - 27653 x^{7} + 84284 x^{6} - 60831 x^{5} - 6685 x^{4} + 64216 x^{3} - 481924 x^{2} + 922672 x - 520624$ $17^{15}\cdot 67^{6}$ $C_2^7.C_8$ (as 16T1155) $[4]$ $506768666.249$
16.0.258...017.4 $x^{16} - 2 x^{15} + 21 x^{14} - 42 x^{13} + 509 x^{12} - 202 x^{11} + 3719 x^{10} - 757 x^{9} + 39951 x^{8} + 62609 x^{7} + 88268 x^{6} + 50516 x^{5} + 118642 x^{4} + 34631 x^{3} + 386610 x^{2} + 200999 x + 88639$ $17^{15}\cdot 67^{6}$ $C_2^7.C_8$ (as 16T1155) $[2, 2, 2, 4]$ $10553539.0382$
16.8.258...017.5 $x^{16} - 7 x^{15} + 15 x^{14} + 14 x^{13} - 64 x^{12} - 776 x^{11} + 3052 x^{10} + 226 x^{9} - 23529 x^{8} + 77527 x^{7} - 46867 x^{6} - 251376 x^{5} + 485040 x^{4} - 142024 x^{3} - 237040 x^{2} + 96640 x + 13312$ $17^{15}\cdot 67^{6}$ $C_2^7.C_8$ (as 16T1155) $[4]$ $494529828.491$
16.8.321...808.19 $x^{16} - 168 x^{12} + 1296 x^{10} + 11268 x^{8} - 133488 x^{6} + 401328 x^{4} - 393984 x^{2} + 46818$ $2^{79}\cdot 3^{12}$ $C_2^7.C_8$ (as 16T1155) trivial $1592294246.8665853$
16.8.321...808.20 $x^{16} - 48 x^{14} + 936 x^{12} - 9504 x^{10} + 53748 x^{8} - 170640 x^{6} + 299376 x^{4} - 256608 x^{2} + 46818$ $2^{79}\cdot 3^{12}$ $C_2^7.C_8$ (as 16T1155) trivial $1311850459.2183168$
16.8.321...808.24 $x^{16} - 48 x^{14} + 888 x^{12} - 8352 x^{10} + 44388 x^{8} - 149904 x^{6} + 309744 x^{4} - 344736 x^{2} + 155682$ $2^{79}\cdot 3^{12}$ $C_2^7.C_8$ (as 16T1155) trivial $1140064170.329937$
16.8.321...808.26 $x^{16} - 144 x^{12} - 1440 x^{10} + 4392 x^{8} + 31104 x^{6} - 38880 x^{4} - 171072 x^{2} + 187272$ $2^{79}\cdot 3^{12}$ $C_2^7.C_8$ (as 16T1155) trivial $1376834470.0514348$
16.4.321...808.58 $x^{16} - 264 x^{12} + 432 x^{10} + 11268 x^{8} - 60912 x^{6} + 122256 x^{4} - 119232 x^{2} + 46818$ $2^{79}\cdot 3^{12}$ $C_2^7.C_8$ (as 16T1155) trivial $402924958.68221676$
16.4.321...808.59 $x^{16} - 72 x^{12} + 1764 x^{8} - 3024 x^{6} - 42768 x^{4} - 54432 x^{2} + 46818$ $2^{79}\cdot 3^{12}$ $C_2^7.C_8$ (as 16T1155) trivial $516372003.4504026$
16.4.321...808.60 $x^{16} - 72 x^{12} + 1764 x^{8} + 3024 x^{6} - 42768 x^{4} + 54432 x^{2} + 46818$ $2^{79}\cdot 3^{12}$ $C_2^7.C_8$ (as 16T1155) trivial $520638601.5089489$
16.4.321...808.61 $x^{16} - 264 x^{12} - 432 x^{10} + 11268 x^{8} + 60912 x^{6} + 122256 x^{4} + 119232 x^{2} + 46818$ $2^{79}\cdot 3^{12}$ $C_2^7.C_8$ (as 16T1155) trivial $384167374.447405$
16.4.321...808.63 $x^{16} - 24 x^{12} - 576 x^{10} + 468 x^{8} + 20304 x^{6} - 23760 x^{4} - 209952 x^{2} + 155682$ $2^{79}\cdot 3^{12}$ $C_2^7.C_8$ (as 16T1155) trivial $637185750.3113774$
16.4.321...808.64 $x^{16} - 24 x^{12} + 576 x^{10} + 468 x^{8} - 20304 x^{6} - 23760 x^{4} + 209952 x^{2} + 155682$ $2^{79}\cdot 3^{12}$ $C_2^7.C_8$ (as 16T1155) trivial $611007976.6828274$
16.4.321...808.66 $x^{16} - 144 x^{12} + 6408 x^{8} + 10368 x^{6} - 95904 x^{4} - 378432 x^{2} + 187272$ $2^{79}\cdot 3^{12}$ $C_2^7.C_8$ (as 16T1155) trivial $543718658.5656872$
16.4.321...808.67 $x^{16} - 144 x^{12} + 6408 x^{8} - 10368 x^{6} - 95904 x^{4} + 378432 x^{2} + 187272$ $2^{79}\cdot 3^{12}$ $C_2^7.C_8$ (as 16T1155) trivial $521695451.5673963$
16.0.321...808.245 $x^{16} + 48 x^{14} + 936 x^{12} + 9504 x^{10} + 53748 x^{8} + 170640 x^{6} + 299376 x^{4} + 256608 x^{2} + 46818$ $2^{79}\cdot 3^{12}$ $C_2^7.C_8$ (as 16T1155) $[2]$ $112452049.15593745$
16.0.321...808.246 $x^{16} - 168 x^{12} - 1296 x^{10} + 11268 x^{8} + 133488 x^{6} + 401328 x^{4} + 393984 x^{2} + 46818$ $2^{79}\cdot 3^{12}$ $C_2^7.C_8$ (as 16T1155) $[2]$ $157424496.2690912$
16.0.321...808.278 $x^{16} + 48 x^{14} + 888 x^{12} + 8352 x^{10} + 44388 x^{8} + 149904 x^{6} + 309744 x^{4} + 344736 x^{2} + 155682$ $2^{79}\cdot 3^{12}$ $C_2^7.C_8$ (as 16T1155) $[2]$ $86906616.86171179$
16.0.321...808.286 $x^{16} - 144 x^{12} + 1440 x^{10} + 4392 x^{8} - 31104 x^{6} - 38880 x^{4} + 171072 x^{2} + 187272$ $2^{79}\cdot 3^{12}$ $C_2^7.C_8$ (as 16T1155) $[2]$ $101172449.53813592$
16.8.535...728.1 $x^{16} + 16 x^{14} - 16 x^{12} - 864 x^{10} - 376 x^{8} + 7488 x^{6} + 3104 x^{4} - 14336 x^{2} + 2312$ $2^{79}\cdot 97^{4}$ $C_2^7.C_8$ (as 16T1155) trivial $16677052457.0$
16.8.535...728.2 $x^{16} + 16 x^{14} - 16 x^{12} - 864 x^{10} + 8 x^{8} + 12352 x^{6} - 16480 x^{4} + 5504 x^{2} + 8$ $2^{79}\cdot 97^{4}$ $C_2^7.C_8$ (as 16T1155) trivial $16391898820.4$
16.8.535...728.5 $x^{16} + 16 x^{14} - 72 x^{12} - 1904 x^{10} - 4428 x^{8} + 14816 x^{6} - 7152 x^{4} - 480 x^{2} + 2$ $2^{79}\cdot 97^{4}$ $C_2^7.C_8$ (as 16T1155) trivial $17449218588.345753$
16.8.535...728.6 $x^{16} - 16 x^{14} - 48 x^{12} + 960 x^{10} + 1096 x^{8} - 3904 x^{6} - 2784 x^{4} + 1280 x^{2} + 8$ $2^{79}\cdot 97^{4}$ $C_2^7.C_8$ (as 16T1155) trivial $16210232701.867962$
16.4.698...152.1 $x^{16} - 7 x^{15} + 49 x^{14} - 292 x^{13} + 1551 x^{12} - 8273 x^{11} + 27753 x^{10} - 55551 x^{9} + 67506 x^{8} + 264153 x^{7} + 606613 x^{6} + 1111905 x^{5} - 5899565 x^{4} - 9805130 x^{3} + 601264 x^{2} + 18342111 x - 8394157$ $2^{12}\cdot 13^{2}\cdot 17^{15}\cdot 137^{4}$ $C_2^7.C_8$ (as 16T1155) $[2, 4, 4]$ $502651640.12$
16.0.967...848.1 $x^{16} + 102 x^{14} + 3859 x^{12} + 67966 x^{10} + 586177 x^{8} + 2294524 x^{6} + 3040348 x^{4} + 1227264 x^{2} + 45968$ $2^{24}\cdot 17^{15}\cdot 67^{4}$ $C_2^7.C_8$ (as 16T1155) $[2, 2, 4, 264]$ $2221745.35279$
16.16.967...848.1 $x^{16} - 102 x^{14} + 3825 x^{12} - 63954 x^{10} + 467432 x^{8} - 1487126 x^{6} + 1687845 x^{4} - 13906 x^{2} + 17$ $2^{24}\cdot 17^{15}\cdot 67^{4}$ $C_2^7.C_8$ (as 16T1155) $[2, 2]$ $92426021282.1$
16.0.967...848.2 $x^{16} + 102 x^{14} + 3825 x^{12} + 63954 x^{10} + 467432 x^{8} + 1487126 x^{6} + 1687845 x^{4} + 13906 x^{2} + 17$ $2^{24}\cdot 17^{15}\cdot 67^{4}$ $C_2^7.C_8$ (as 16T1155) $[2, 2, 4, 320]$ $2221745.35279$
16.16.967...848.2 $x^{16} - 102 x^{14} + 3859 x^{12} - 67966 x^{10} + 586177 x^{8} - 2294524 x^{6} + 3040348 x^{4} - 1227264 x^{2} + 45968$ $2^{24}\cdot 17^{15}\cdot 67^{4}$ $C_2^7.C_8$ (as 16T1155) $[2, 2]$ $103346511650$
16.4.116...313.8 $x^{16} - 6 x^{15} + 2 x^{14} - 199 x^{13} + 1245 x^{12} + 5773 x^{11} - 51145 x^{10} + 64756 x^{9} + 386511 x^{8} - 2205812 x^{7} + 4179448 x^{6} + 12113345 x^{5} - 63532217 x^{4} + 35405533 x^{3} + 195854391 x^{2} - 355933406 x + 1368484$ $17^{15}\cdot 67^{8}$ $C_2^7.C_8$ (as 16T1155) $[2, 2, 4, 4]$ $857502275.093$
16.4.116...313.12 $x^{16} - 5 x^{15} + 42 x^{14} - 278 x^{13} + 659 x^{12} - 405 x^{11} - 17202 x^{10} + 70727 x^{9} - 176053 x^{8} + 320302 x^{7} + 178713 x^{6} - 1112831 x^{5} - 1379291 x^{4} + 12513782 x^{3} - 11860273 x^{2} + 60078180 x + 129212428$ $17^{15}\cdot 67^{8}$ $C_2^7.C_8$ (as 16T1155) $[2, 2, 2, 8]$ $887169888.207$
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