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Label Polynomial Discriminant Galois group Class group Regulator
14.0.9669040949311.1 $x^{14} - x^{13} + 3 x^{12} - 6 x^{11} + 5 x^{10} - 9 x^{9} + 11 x^{8} - 7 x^{7} + 11 x^{6} - 9 x^{5} + 5 x^{4} - 6 x^{3} + 3 x^{2} - x + 1$ $-\,19^{2}\cdot 79\cdot 18413^{2}$ $C_2^7.S_7$ (as 14T57) trivial $2.65828702774$
14.0.9866941650479.1 $x^{14} - 3 x^{13} + 6 x^{12} - 11 x^{11} + 16 x^{10} - 21 x^{9} + 25 x^{8} - 25 x^{7} + 25 x^{6} - 21 x^{5} + 16 x^{4} - 11 x^{3} + 6 x^{2} - 3 x + 1$ $-\,167^{2}\cdot 191\cdot 1361^{2}$ $C_2^7.S_7$ (as 14T57) trivial $2.68866215877$
14.0.13048447346663.1 $x^{14} - x^{13} + 2 x^{12} - 2 x^{11} + 2 x^{10} - 2 x^{9} + x^{8} - x^{7} + x^{6} - 2 x^{5} + 2 x^{4} - 2 x^{3} + 2 x^{2} - x + 1$ $-\,23\cdot 37^{2}\cdot 20357^{2}$ $C_2^7.S_7$ (as 14T57) trivial $3.18798462168$
14.0.22139206005899.1 $x^{14} - 3 x^{13} + 4 x^{12} - 2 x^{11} + x^{10} - 4 x^{9} + 9 x^{8} - 11 x^{7} + 9 x^{6} - 4 x^{5} + x^{4} - 2 x^{3} + 4 x^{2} - 3 x + 1$ $-\,59\cdot 593^{2}\cdot 1033^{2}$ $C_2^7.S_7$ (as 14T57) trivial $4.38657959616$
14.2.55059380046329.1 $x^{14} - 4 x^{13} + 6 x^{12} - x^{11} - 10 x^{10} + 18 x^{9} - 18 x^{8} + 15 x^{7} - 13 x^{6} + 11 x^{5} - 8 x^{4} + 6 x^{3} - 3 x^{2} + 1$ $277^{2}\cdot 569\cdot 1123^{2}$ $C_2^7.S_7$ (as 14T57) trivial $9.77909350979$
14.2.62662828387597.1 $x^{14} - x^{13} - 3 x^{12} + 5 x^{11} + 2 x^{10} - 11 x^{9} + 4 x^{8} + 11 x^{7} - 11 x^{6} - 2 x^{5} + 10 x^{4} - 4 x^{3} - 2 x^{2} + 3 x - 1$ $167^{2}\cdot 1213\cdot 1361^{2}$ $C_2^7.S_7$ (as 14T57) trivial $10.6313575761$
14.2.103886084489093.1 $x^{14} - 3 x^{12} - 3 x^{11} + 6 x^{10} + 7 x^{9} - 5 x^{8} - 12 x^{7} + 2 x^{6} + 11 x^{5} + x^{4} - 7 x^{3} - 2 x^{2} + 4 x - 1$ $53\cdot 977^{2}\cdot 1433^{2}$ $C_2^7.S_7$ (as 14T57) trivial $14.647522546$
14.2.116768679686993.1 $x^{14} - 3 x^{13} + 7 x^{12} - 14 x^{11} + 21 x^{10} - 29 x^{9} + 35 x^{8} - 37 x^{7} + 35 x^{6} - 29 x^{5} + 21 x^{4} - 14 x^{3} + 7 x^{2} - 3 x + 1$ $257\cdot 674057^{2}$ $C_2^7.S_7$ (as 14T57) trivial $15.418973911$
14.2.154291569457229.1 $x^{14} - x^{13} + x^{12} - 2 x^{11} + 2 x^{10} - 3 x^{9} + 3 x^{8} - 3 x^{7} + 3 x^{6} - 3 x^{5} + 2 x^{4} - 2 x^{3} + x^{2} - x + 1$ $29\cdot 107^{2}\cdot 21557^{2}$ $C_2^7.S_7$ (as 14T57) trivial $17.8336574914$
14.2.160805685121205.1 $x^{14} + x^{12} - x^{9} - x^{8} - x^{7} - x^{6} - x^{5} + x^{2} + 1$ $5\cdot 41^{2}\cdot 138319^{2}$ $C_2^7.S_7$ (as 14T57) trivial $20.4518453354$
14.4.250058750499647.1 $x^{14} - 2 x^{13} + x^{12} - x^{11} + x^{10} - 4 x^{9} + 9 x^{8} - 9 x^{7} + 9 x^{6} - 4 x^{5} + x^{4} - x^{3} + x^{2} - 2 x + 1$ $-\,47\cdot 107^{2}\cdot 21557^{2}$ $C_2^7.S_7$ (as 14T57) trivial $31.5102502485$
14.4.498897726810659.1 $x^{14} - 2 x^{13} + 3 x^{11} - 7 x^{10} + x^{9} + 14 x^{8} - 2 x^{7} - 13 x^{6} + 2 x^{5} + 4 x^{4} - 4 x^{3} + 3 x + 1$ $-\,11^{3}\cdot 71^{2}\cdot 8623^{2}$ $C_2^7.S_7$ (as 14T57) trivial $47.3515916708$
14.4.569282687307707.1 $x^{14} - 2 x^{13} + x^{12} + 6 x^{11} - 14 x^{10} + 15 x^{9} - 4 x^{8} - 17 x^{7} + 25 x^{6} - 19 x^{5} + 6 x^{4} + 4 x^{3} - x^{2} - x - 1$ $-\,107^{3}\cdot 21557^{2}$ $C_2^7.S_7$ (as 14T57) trivial $50.817635446$
14.4.673916269391159.1 $x^{14} - 3 x^{13} + 4 x^{12} - x^{11} - 7 x^{10} + 13 x^{9} - 10 x^{8} - 5 x^{7} + 15 x^{6} - 10 x^{5} - 2 x^{4} + 7 x^{3} - 2 x^{2} + 1$ $-\,23^{2}\cdot 29^{2}\cdot 31^{2}\cdot 71\cdot 149^{2}$ $C_2^7.S_7$ (as 14T57) trivial $58.9923614819$
14.0.1341540892314911.1 $x^{14} - 4 x^{13} + 9 x^{12} - 14 x^{11} + 20 x^{10} - 26 x^{9} + 30 x^{8} - 31 x^{7} + 30 x^{6} - 26 x^{5} + 20 x^{4} - 14 x^{3} + 9 x^{2} - 4 x + 1$ $-\,23^{2}\cdot 239^{3}\cdot 431^{2}$ $C_2^7.S_7$ (as 14T57) trivial $40.7960239576$
14.4.2837756470349143.1 $x^{14} - x^{13} + x^{12} - x^{11} - x^{10} - 3 x^{8} + x^{7} - 3 x^{6} - x^{4} - x^{3} + x^{2} - x + 1$ $-\,7\cdot 71^{2}\cdot 283583^{2}$ $C_2^7.S_7$ (as 14T57) trivial $138.726849555$
14.6.6891694285133633.1 $x^{14} - 2 x^{13} + x^{12} - x^{11} - x^{10} + 4 x^{9} - 5 x^{8} + 7 x^{7} - 5 x^{6} + 4 x^{5} - x^{4} - x^{3} + x^{2} - 2 x + 1$ $17\cdot 71^{2}\cdot 283583^{2}$ $C_2^7.S_7$ (as 14T57) trivial $283.702321595$
14.6.7210411578427093.1 $x^{14} - 2 x^{13} - 7 x^{12} + 14 x^{11} + 13 x^{10} - 35 x^{9} + 2 x^{8} + 41 x^{7} - 14 x^{6} - 13 x^{5} + 10 x^{4} - 7 x^{3} - 4 x^{2} + x - 1$ $101^{2}\cdot 757\cdot 30557^{2}$ $C_2^7.S_7$ (as 14T57) trivial $284.424041147$
14.4.7488261696523347.1 $x^{14} - x^{10} - x^{8} - x^{7} - x^{6} - x^{4} + 1$ $-\,3^{3}\cdot 16653619^{2}$ $C_2^7.S_7$ (as 14T57) trivial $290.172352012$
14.8.9324056974004327.1 $x^{14} - x^{13} - 4 x^{12} + 8 x^{11} + 2 x^{10} - 33 x^{9} + 7 x^{8} + 70 x^{7} - 2 x^{6} - 72 x^{5} - 9 x^{4} + 32 x^{3} + 6 x^{2} - 5 x - 1$ $-\,23\cdot 71^{2}\cdot 283583^{2}$ $C_2^7.S_7$ (as 14T57) trivial $462.4654406$
14.6.10939833968412257.1 $x^{14} - 7 x^{12} - 8 x^{11} + 2 x^{10} + 8 x^{9} - 9 x^{7} + 8 x^{5} + 2 x^{4} - 8 x^{3} - 7 x^{2} + 1$ $17^{3}\cdot 23^{2}\cdot 64879^{2}$ $C_2^7.S_7$ (as 14T57) trivial $388.483538289$
14.8.17381743359198867.1 $x^{14} - 2 x^{13} - 5 x^{12} + 4 x^{11} + 18 x^{10} + 4 x^{9} - 30 x^{8} - 24 x^{7} + 22 x^{6} + 30 x^{5} - 16 x^{4} - 10 x^{3} + 11 x^{2} - x - 1$ $-\,3^{3}\cdot 11^{2}\cdot 107^{2}\cdot 21557^{2}$ $C_2^7.S_7$ (as 14T57) trivial $654.338612031$
14.6.18390538601343981.1 $x^{14} - 5 x^{13} + 10 x^{12} - 7 x^{11} - 10 x^{10} + 27 x^{9} - 23 x^{8} - 2 x^{7} + 23 x^{6} - 18 x^{5} + 2 x^{4} + 7 x^{3} - 3 x^{2} - 2 x + 1$ $3^{2}\cdot 109\cdot 877^{2}\cdot 4937^{2}$ $C_2^7.S_7$ (as 14T57) trivial $582.255636584$
14.6.19318215364245661.1 $x^{14} - 6 x^{12} - x^{11} + 14 x^{10} + 4 x^{9} - 20 x^{8} - 5 x^{7} + 20 x^{6} + 4 x^{5} - 14 x^{4} - x^{3} + 6 x^{2} - 1$ $97^{2}\cdot 6949\cdot 17189^{2}$ $C_2^7.S_7$ (as 14T57) trivial $495.607558654$
14.8.28782958484969879.1 $x^{14} - 4 x^{13} + 4 x^{12} + 8 x^{11} - 30 x^{10} + 43 x^{9} - 35 x^{8} - 7 x^{7} + 56 x^{6} - 54 x^{5} - 4 x^{4} + 32 x^{3} - 8 x^{2} - 4 x + 1$ $-\,71^{3}\cdot 283583^{2}$ $C_2^7.S_7$ (as 14T57) trivial $865.305890167$
14.6.30855440523242953.1 $x^{14} - 5 x^{13} + 8 x^{12} - 7 x^{11} + 8 x^{10} - 14 x^{9} + 36 x^{8} - 37 x^{7} + 21 x^{6} - 3 x^{5} - 25 x^{4} + 28 x^{3} - 17 x^{2} + 4 x + 1$ $23^{3}\cdot 239^{3}\cdot 431^{2}$ $C_2^7.S_7$ (as 14T57) trivial $638.870676904$
14.6.49272214646324061.1 $x^{14} - x^{13} - 3 x^{12} + 4 x^{11} - 11 x^{9} + 24 x^{8} - 24 x^{7} + 23 x^{6} + 5 x^{5} - 72 x^{4} + 106 x^{3} - 71 x^{2} + 19 x - 1$ $3^{3}\cdot 7^{3}\cdot 107^{2}\cdot 21557^{2}$ $C_2^7.S_7$ (as 14T57) trivial $871.04631009$
14.10.61162027905113369.1 $x^{14} - x^{13} - 9 x^{12} + 4 x^{11} + 15 x^{10} - 6 x^{9} + 17 x^{8} - 16 x^{7} - 41 x^{6} + 54 x^{5} - 6 x^{4} - 27 x^{3} + 23 x^{2} - 8 x + 1$ $13^{2}\cdot 53^{2}\cdot 2729\cdot 6871^{2}$ $C_2^7.S_7$ (as 14T57) trivial $1824.02007334$
14.0.87169416344387584.1 $x^{14} + 8 x^{12} + 22 x^{10} + 23 x^{8} + 7 x^{6} + 5 x^{4} + 6 x^{2} + 1$ $-\,2^{14}\cdot 107^{2}\cdot 21557^{2}$ $C_2^7.S_7$ (as 14T57) trivial $245.837479172$
14.8.87169416344387584.1 $x^{14} - 2 x^{12} - 3 x^{10} + 6 x^{8} - 9 x^{6} + 14 x^{4} - 7 x^{2} + 1$ $-\,2^{14}\cdot 107^{2}\cdot 21557^{2}$ $C_2^7.S_7$ (as 14T57) trivial $1665.45436135$
14.2.404177600134013653.1 $x^{14} - 5 x^{13} + 16 x^{12} - 38 x^{11} + 71 x^{10} - 108 x^{9} + 153 x^{8} - 208 x^{7} + 217 x^{6} - 156 x^{5} + 62 x^{4} - 57 x^{3} + 14 x^{2} + 2 x - 1$ $71^{2}\cdot 997\cdot 283583^{2}$ $C_2^7.S_7$ (as 14T57) trivial $961.037039179$
14.10.890...453.1 $x^{14} - 6 x^{13} + 10 x^{12} + 3 x^{11} - 24 x^{10} + 42 x^{9} - 94 x^{8} + 136 x^{7} - 52 x^{6} - 88 x^{5} + 109 x^{4} - 23 x^{3} - 24 x^{2} + 10 x - 1$ $13^{3}\cdot 71^{2}\cdot 283583^{2}$ $C_2^7.S_7$ (as 14T57) trivial $7877.14724707$
14.14.177...577.1 $x^{14} - 6 x^{13} + 3 x^{12} + 39 x^{11} - 51 x^{10} - 90 x^{9} + 150 x^{8} + 91 x^{7} - 175 x^{6} - 42 x^{5} + 89 x^{4} + 7 x^{3} - 18 x^{2} + 1$ $1697\cdot 32354821^{2}$ $C_2^7.S_7$ (as 14T57) trivial $23283.4969199$
14.10.206...169.1 $x^{14} - 2 x^{13} - 10 x^{12} + 19 x^{11} + 37 x^{10} - 64 x^{9} - 68 x^{8} + 95 x^{7} + 68 x^{6} - 64 x^{5} - 37 x^{4} + 19 x^{3} + 10 x^{2} - 2 x - 1$ $7^{2}\cdot 17^{5}\cdot 2017^{2}\cdot 7297$ $C_2^7.S_7$ (as 14T57) trivial $12955.1775582$
14.10.316...273.1 $x^{14} - 4 x^{13} - 6 x^{12} + 28 x^{11} + 29 x^{10} - 61 x^{9} - 215 x^{8} + 237 x^{7} + 347 x^{6} - 324 x^{5} - 202 x^{4} + 139 x^{3} + 47 x^{2} - 14 x - 1$ $17^{5}\cdot 23^{2}\cdot 64879^{2}$ $C_2^7.S_7$ (as 14T57) trivial $18052.2756731$
14.2.578...953.1 $x^{14} - 6 x^{13} + 20 x^{12} - 51 x^{11} + 106 x^{10} - 190 x^{9} + 304 x^{8} - 447 x^{7} + 608 x^{6} - 760 x^{5} + 848 x^{4} - 816 x^{3} + 640 x^{2} - 384 x + 128$ $17^{3}\cdot 23^{4}\cdot 64879^{2}$ $C_2^7.S_7$ (as 14T57) $[2]$ $1917.43770335$
14.12.664...416.1 $x^{14} - 9 x^{12} + 27 x^{10} - 24 x^{8} - 21 x^{6} + 41 x^{4} - 15 x^{2} + 1$ $-\,2^{14}\cdot 71^{2}\cdot 283583^{2}$ $C_2^7.S_7$ (as 14T57) trivial $35356.8667379$
14.12.664...416.2 $x^{14} - 6 x^{12} + 4 x^{10} + 34 x^{8} - 74 x^{6} + 52 x^{4} - 13 x^{2} + 1$ $-\,2^{14}\cdot 71^{2}\cdot 283583^{2}$ $C_2^7.S_7$ (as 14T57) trivial $41389.0345601$
14.0.464...912.1 $x^{14} + 15 x^{12} + 83 x^{10} + 214 x^{8} + 278 x^{6} + 183 x^{4} + 58 x^{2} + 7$ $-\,2^{14}\cdot 7\cdot 71^{2}\cdot 283583^{2}$ $C_2^7.S_7$ (as 14T57) $[8]$ $924.603684464$
14.14.464...912.1 $x^{14} - 15 x^{12} + 83 x^{10} - 214 x^{8} + 278 x^{6} - 183 x^{4} + 58 x^{2} - 7$ $2^{14}\cdot 7\cdot 71^{2}\cdot 283583^{2}$ $C_2^7.S_7$ (as 14T57) trivial $147896.595663$
14.0.179...688.1 $x^{14} + 15 x^{12} + 90 x^{10} + 276 x^{8} + 457 x^{6} + 394 x^{4} + 153 x^{2} + 17$ $-\,2^{14}\cdot 17^{3}\cdot 23^{2}\cdot 64879^{2}$ $C_2^7.S_7$ (as 14T57) $[16]$ $1024.37524295$
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