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Label Polynomial Discriminant Galois group Class group Regulator
14.0.9095120158391.1 $ x^{14} - 7 x^{13} + 25 x^{12} - 59 x^{11} + 103 x^{10} - 141 x^{9} + \cdots + 1 $ $-\,71^{7}$ $D_{7}$ (as 14T2) trivial $2.56161916129$
14.0.9669040949311.1 $ x^{14} - x^{13} + 3 x^{12} - 6 x^{11} + 5 x^{10} - 9 x^{9} + 11 x^{8} + \cdots + 1 $ $-\,19^{2}\cdot 79\cdot 18413^{2}$ $C_2^7.S_7$ (as 14T57) trivial $2.65828702774$
14.0.9745585291264.1 $ x^{14} - 4 x^{13} + 7 x^{12} - 4 x^{11} - 8 x^{10} + 24 x^{9} - 30 x^{8} + \cdots + 1 $ $-\,2^{14}\cdot 29^{6}$ $C_7 \wr C_2$ (as 14T8) trivial $5.342840135225723$
14.0.9866941650479.1 $ x^{14} - 3 x^{13} + 6 x^{12} - 11 x^{11} + 16 x^{10} - 21 x^{9} + \cdots + 1 $ $-\,167^{2}\cdot 191\cdot 1361^{2}$ $C_2^7.S_7$ (as 14T57) trivial $2.68866215877$
14.0.11856232199187.1 $ x^{14} - x^{13} + x^{12} - x^{10} - x^{9} + x^{8} - x^{7} - x^{6} + 3 x^{5} - 2 x^{4} + \cdots + 1 $ $-\,3^{7}\cdot 5421231001$ $S_7\wr C_2$ (as 14T61) trivial $9.0466002324$
14.0.12985240103739.1 $ x^{14} - x^{13} + x^{12} - 4 x^{11} + 4 x^{10} - 2 x^{9} + 5 x^{8} - 6 x^{7} + \cdots + 1 $ $-\,3^{7}\cdot 5937466897$ $S_7\wr C_2$ (as 14T61) trivial $9.5585171283$
14.0.13048447346663.1 $ x^{14} - x^{13} + 2 x^{12} - 2 x^{11} + 2 x^{10} - 2 x^{9} + x^{8} - x^{7} + \cdots + 1 $ $-\,23\cdot 37^{2}\cdot 20357^{2}$ $C_2^7.S_7$ (as 14T57) trivial $3.18798462168$
14.0.13824820988163.1 $ x^{14} - 3 x^{13} + 8 x^{12} - 18 x^{11} + 32 x^{10} - 52 x^{9} + \cdots + 1 $ $-\,3^{7}\cdot 43^{6}$ $C_7 \wr C_2$ (as 14T8) trivial $9.923787361493524$
14.0.16973485041483.1 $ x^{14} - 2 x^{13} + 2 x^{12} - 6 x^{11} + 8 x^{10} - 4 x^{9} + 9 x^{8} + \cdots + 1 $ $-\,3^{7}\cdot 37^{2}\cdot 2381^{2}$ $S_7\times C_2$ (as 14T49) trivial $11.1445691239$
14.0.22139206005899.1 $ x^{14} - 3 x^{13} + 4 x^{12} - 2 x^{11} + x^{10} - 4 x^{9} + 9 x^{8} + \cdots + 1 $ $-\,59\cdot 593^{2}\cdot 1033^{2}$ $C_2^7.S_7$ (as 14T57) trivial $4.38657959616$
14.0.28466647927227.1 $ x^{14} - x^{13} + 2 x^{12} + 3 x^{11} - x^{10} + 4 x^{9} + 3 x^{8} + 2 x^{7} + \cdots + 1 $ $-\,3^{7}\cdot 114089^{2}$ $S_7\times C_2$ (as 14T49) trivial $15.4833298742$
14.0.30270895108587.1 $ x^{14} - 4 x^{13} + 6 x^{12} - 3 x^{11} - 6 x^{10} + 14 x^{9} - 12 x^{8} + \cdots + 1 $ $-\,3^{7}\cdot 7^{12}$ $C_7 \wr C_2$ (as 14T8) trivial $16.520791850817314$
14.0.51902598731283.1 $ x^{14} - 2 x^{13} + 3 x^{12} - 6 x^{11} + 6 x^{10} - 4 x^{9} + 3 x^{8} + \cdots + 1 $ $-\,3^{11}\cdot 17117^{2}$ $S_7\times C_2$ (as 14T49) trivial $27.6082700412$
14.2.52058057626129.1 $ x^{14} - 2 x^{13} + 3 x^{12} - 4 x^{11} + 4 x^{10} - 4 x^{9} + 4 x^{8} + \cdots + 1 $ $7215127^{2}$ $C_2^6.S_7$ (as 14T55) trivial $9.48144292717$
14.2.54815765790289.1 $ x^{14} + x^{12} - 2 x^{8} - x^{7} - 2 x^{6} + x^{2} + 1 $ $7^{2}\cdot 1057681^{2}$ $C_2^6.S_7$ (as 14T55) trivial $9.77968117968$
14.2.55059380046329.1 $ x^{14} - 4 x^{13} + 6 x^{12} - x^{11} - 10 x^{10} + 18 x^{9} - 18 x^{8} + \cdots + 1 $ $277^{2}\cdot 569\cdot 1123^{2}$ $C_2^7.S_7$ (as 14T57) trivial $9.77909350979$
14.0.56316949686099.1 $ x^{14} - 2 x^{13} + 6 x^{12} - 11 x^{11} + 19 x^{10} - 26 x^{9} + \cdots + 1 $ $-\,3^{7}\cdot 2953^{3}$ $D_7 \wr C_2$ (as 14T20) trivial $24.3506832156$
14.2.62662828387597.1 $ x^{14} - x^{13} - 3 x^{12} + 5 x^{11} + 2 x^{10} - 11 x^{9} + 4 x^{8} + \cdots - 1 $ $167^{2}\cdot 1213\cdot 1361^{2}$ $C_2^7.S_7$ (as 14T57) trivial $10.6313575761$
14.2.63097400703125.1 $ x^{14} - 3 x^{13} + 2 x^{12} + 4 x^{11} - 8 x^{10} + 2 x^{9} + 8 x^{8} + \cdots + 1 $ $5^{7}\cdot 807646729$ $S_7\wr C_2$ (as 14T61) trivial $10.6889300961$
14.2.68537510017457.1 $ x^{14} - 4 x^{13} + 10 x^{12} - 15 x^{11} + 11 x^{10} + 6 x^{9} + \cdots + 1 $ $13^{4}\cdot 17\cdot 109^{4}$ $C_2^7.\GL(3,2)$ (as 14T51) trivial $11.2548274629$
14.0.74532401109963.1 $ x^{14} - x^{13} + 2 x^{12} - x^{11} + 2 x^{10} - 2 x^{9} + 2 x^{8} - 2 x^{7} + \cdots + 1 $ $-\,3^{7}\cdot 184607^{2}$ $S_7\times C_2$ (as 14T49) trivial $26.6828967522$
14.0.76600746490099.1 $ x^{14} - 2 x^{13} + 6 x^{12} - 8 x^{11} + 16 x^{10} - 17 x^{9} + \cdots + 1 $ $-\,13^{4}\cdot 19\cdot 109^{4}$ $C_2^7.\GL(3,2)$ (as 14T51) trivial $9.51678072789$
14.2.78352380449344.1 $ x^{14} - 2 x^{12} + x^{10} + 2 x^{8} - 3 x^{6} + x^{4} - 1 $ $2^{6}\cdot 23^{2}\cdot 73^{2}\cdot 659^{2}$ $C_2^6.S_7$ (as 14T55) trivial $12.5841466704$
14.2.94241555580481.1 $ x^{14} - x^{12} - 2 x^{9} + 3 x^{7} - 2 x^{5} - x^{2} + 1 $ $43^{2}\cdot 401^{2}\cdot 563^{2}$ $C_2^6.S_7$ (as 14T55) trivial $13.4715273772$
14.2.94724481953125.1 $ x^{14} - x^{13} - 2 x^{12} + 5 x^{11} + 2 x^{10} - 9 x^{9} + 2 x^{8} + \cdots + 1 $ $5^{7}\cdot 199\cdot 6092831$ $S_7\wr C_2$ (as 14T61) trivial $13.5893961295$
14.2.103886084489093.1 $ x^{14} - 3 x^{12} - 3 x^{11} + 6 x^{10} + 7 x^{9} - 5 x^{8} - 12 x^{7} + \cdots - 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} + \cdots + 1 $ $257\cdot 674057^{2}$ $C_2^7.S_7$ (as 14T57) trivial $15.418973911$
14.0.118236562059083.1 $ x^{14} - 3 x^{13} + 2 x^{12} + 3 x^{11} - 5 x^{10} - x^{9} + x^{8} + 2 x^{7} + \cdots + 1 $ $-\,13\cdot 71^{7}$ $C_2\wr D_7$ (as 14T38) trivial $12.9746502268$
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} + \cdots + 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 $20.4518453354$
14.0.172575877556547.1 $ x^{14} - x^{13} - x^{12} + 2 x^{10} + x^{9} - x^{8} - x^{7} - x^{6} + x^{5} + 2 x^{4} + \cdots + 1 $ $-\,3^{7}\cdot 280909^{2}$ $S_7\times C_2$ (as 14T49) trivial $55.4764206676$
14.2.212764932023296.1 $ x^{14} - x^{10} + x^{8} + x^{2} - 1 $ $2^{10}\cdot 455827^{2}$ $C_2^6.S_7$ (as 14T55) trivial $21.4724068698$
14.2.245928712415581.1 $ x^{14} - x^{13} + 4 x^{12} - x^{11} + 3 x^{10} + 3 x^{9} - 4 x^{8} + 9 x^{7} + \cdots - 1 $ $13^{4}\cdot 61\cdot 109^{4}$ $C_2^7.\GL(3,2)$ (as 14T51) trivial $26.4300628611$
14.4.250058750499647.1 $ x^{14} - 2 x^{13} + x^{12} - x^{11} + x^{10} - 4 x^{9} + 9 x^{8} - 9 x^{7} + \cdots + 1 $ $-\,47\cdot 107^{2}\cdot 21557^{2}$ $C_2^7.S_7$ (as 14T57) trivial $31.5102502485$
14.0.263657868936003.1 $ x^{14} + x^{12} - 2 x^{11} - x^{10} + 3 x^{7} - x^{4} - 2 x^{3} + x^{2} + \cdots + 1 $ $-\,3^{7}\cdot 103^{2}\cdot 3371^{2}$ $S_7\times C_2$ (as 14T49) trivial $73.5044803741$
14.4.270118421833507.1 $ x^{14} - x^{13} - 3 x^{12} - x^{11} + x^{10} + 2 x^{8} + 7 x^{7} + 3 x^{6} + \cdots + 1 $ $-\,13^{4}\cdot 67\cdot 109^{4}$ $C_2^7.\GL(3,2)$ (as 14T51) trivial $33.079338429$
14.0.280155320935227.1 $ x^{14} - x^{13} + 2 x^{12} - x^{11} + 3 x^{10} - 4 x^{9} + 3 x^{8} - 4 x^{7} + \cdots + 1 $ $-\,3^{7}\cdot 71^{6}$ $D_{14}$ (as 14T3) trivial $64.9438034848$
14.4.297261105546875.1 $ x^{14} - 3 x^{12} - x^{11} + 5 x^{10} + 3 x^{9} - 6 x^{8} - 6 x^{7} + \cdots + 1 $ $-\,5^{7}\cdot 89\cdot 971\cdot 44029$ $S_7\wr C_2$ (as 14T61) trivial $34.9413880804$
14.0.318497840669359.1 $ x^{14} - 4 x^{13} + 8 x^{12} - 10 x^{11} + 15 x^{10} - 28 x^{9} + \cdots + 1 $ $-\,13^{4}\cdot 79\cdot 109^{4}$ $C_2^7.\GL(3,2)$ (as 14T51) trivial $22.560872956$
14.2.321952970703125.1 $ x^{14} - 3 x^{13} + 2 x^{12} + 3 x^{11} - 7 x^{10} + 11 x^{9} - 25 x^{8} + \cdots + 1 $ $5^{9}\cdot 37^{2}\cdot 347^{2}$ $S_7\times C_2$ (as 14T49) trivial $30.836203822$
14.4.334624313614643.1 $ x^{14} - x^{13} - 4 x^{12} + 3 x^{11} + 3 x^{10} + 3 x^{9} + 2 x^{8} + \cdots - 1 $ $-\,13^{4}\cdot 83\cdot 109^{4}$ $C_2^7.\GL(3,2)$ (as 14T51) trivial $37.8345982696$
14.2.386441371953125.1 $ x^{14} - x^{13} - 2 x^{12} + 4 x^{11} - 2 x^{10} - 3 x^{9} + x^{8} + 6 x^{6} + \cdots + 5 $ $5^{7}\cdot 53^{2}\cdot 1327^{2}$ $S_7\times C_2$ (as 14T49) trivial $38.0258403894$
14.2.391066968923137.1 $ x^{14} - 4 x^{13} + 5 x^{12} + 4 x^{11} - 14 x^{10} + 5 x^{9} + 13 x^{8} + \cdots - 1 $ $13^{4}\cdot 97\cdot 109^{4}$ $C_2^7.\GL(3,2)$ (as 14T51) trivial $35.8148412318$
14.0.407483719072587.1 $ x^{14} - x^{13} + 4 x^{12} - x^{11} + 4 x^{10} + 2 x^{9} - 6 x^{8} + 3 x^{7} + \cdots + 1 $ $-\,3^{15}\cdot 73^{4}$ $A_7\times C_2$ (as 14T47) trivial $96.5294199023$
14.4.411650990546875.1 $ x^{14} - 3 x^{12} - 2 x^{11} + 5 x^{10} + 4 x^{9} - 6 x^{8} - 7 x^{7} + \cdots - 1 $ $-\,5^{7}\cdot 24851\cdot 212029$ $S_7\wr C_2$ (as 14T61) trivial $42.0905477867$
14.2.422859037223221.1 $ x^{14} - 2 x^{13} - 4 x^{12} + 6 x^{11} + 10 x^{10} - 3 x^{9} - 19 x^{8} + \cdots + 1 $ $71^{6}\cdot 3301$ $C_2\wr D_7$ (as 14T38) trivial $32.6924434913$
14.0.445660887761159.1 $ x^{14} - x^{13} + 6 x^{12} - 4 x^{11} + 12 x^{10} - 2 x^{9} + 11 x^{8} + \cdots + 1 $ $-\,7^{2}\cdot 71^{7}$ $C_2^6:D_7$ (as 14T27) trivial $25.684570553$
14.0.489862582246303.1 $ x^{14} - 5 x^{13} + 18 x^{12} - 44 x^{11} + 89 x^{10} - 140 x^{9} + \cdots + 1 $ $-\,7^{7}\cdot 29^{6}$ $C_7 \wr C_2$ (as 14T8) trivial $30.78649932175806$
14.2.493856488203125.1 $ x^{14} - 2 x^{13} + 6 x^{11} - 3 x^{10} - 8 x^{9} + 13 x^{8} + 4 x^{7} + \cdots - 1 $ $5^{7}\cdot 43^{6}$ $D_{14}$ (as 14T3) trivial $39.9535247267$
14.4.498897726810659.1 $ x^{14} - 2 x^{13} + 3 x^{11} - 7 x^{10} + x^{9} + 14 x^{8} - 2 x^{7} + \cdots + 1 $ $-\,11^{3}\cdot 71^{2}\cdot 8623^{2}$ $C_2^7.S_7$ (as 14T57) trivial $47.3515916708$
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