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Results (6 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
14.2.138...000.1 $x^{14} - 7 x^{12} - 7 x^{10} + 70 x^{8} - 10 x^{7} + 49 x^{6} - 70 x^{5} - 98 x^{4} - 49 x^{2} - 70 x - 20$ $2^{18}\cdot 5^{7}\cdot 7^{14}$ $D_7:F_7$ (as 14T24) trivial $420430.158225$
14.2.138...000.2 $x^{14} + 7 x^{12} - 7 x^{10} - 70 x^{8} - 6 x^{7} + 49 x^{6} + 14 x^{5} + 98 x^{4} - 56 x^{3} - 49 x^{2} - 14 x + 4$ $2^{18}\cdot 5^{7}\cdot 7^{14}$ $D_7:F_7$ (as 14T24) trivial $443851.461318$
14.0.540...000.1 $x^{14} - 3 x^{7} + 6$ $-\,2^{6}\cdot 3^{13}\cdot 5^{7}\cdot 7^{14}$ $D_7:F_7$ (as 14T24) $[2]$ $13145315.2551$
14.0.346...000.1 $x^{14} - 18 x^{7} + 1296$ $-\,2^{12}\cdot 3^{13}\cdot 5^{7}\cdot 7^{14}$ $D_7:F_7$ (as 14T24) $[2]$ $79697104.8449$
14.14.219...968.1 $x^{14} - 70 x^{12} + 1757 x^{10} - 20090 x^{8} - 1832 x^{7} + 111622 x^{6} + 26656 x^{5} - 283220 x^{4} - 97104 x^{3} + 240737 x^{2} + 32368 x - 56066$ $2^{27}\cdot 7^{14}\cdot 17^{6}$ $D_7:F_7$ (as 14T24) trivial $3947012497.5$
14.14.129...000.1 $x^{14} - 77 x^{12} + 2303 x^{10} - 33880 x^{8} - 734 x^{7} + 254359 x^{6} + 28014 x^{5} - 906598 x^{4} - 318304 x^{3} + 1195061 x^{2} + 938266 x + 134444$ $2^{12}\cdot 5^{7}\cdot 7^{14}\cdot 29^{6}$ $D_7:F_7$ (as 14T24) trivial $17896254443.2$
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