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Results (displaying all 8 matches)

Label Polynomial Discriminant Galois group Class group
14.0.15010281120769746411220992.1 x14 - 7x8 - 6x7 + 784x2 + 1344x + 576 \( -\,2^{12}\cdot 3^{8}\cdot 7^{21} \) 14T58 Trivial (GRH)
14.6.2279359240029708158813339648.1 x14 - 4x13 - 36x12 + 130x11 + 438x10 - 1526x9 - 1457x8 + 7996x7 - 4867x6 - 10878x5 + 25593x4 - 28878x3 + 19648x2 - 8280x + 2239 \( 2^{21}\cdot 76913^{2}\cdot 428639^{2} \) 14T58 Trivial (GRH)
14.10.203605885683812079006330175488.1 x14 - 4x13 - 36x12 + 108x11 + 504x10 - 976x9 - 2989x8 + 4614x7 + 8207x6 - 12968x5 - 8323x4 + 20384x3 - 8652x2 - 210x + 313 \( 2^{14}\cdot 3^{7}\cdot 13^{4}\cdot 446040299^{2} \) 14T58 Trivial (GRH)
14.6.1130268286027719787328320831488.1 x14 - 4x13 - 36x12 + 92x11 + 552x10 - 576x9 - 4098x8 + 2144x7 + 17648x6 - 14260x5 - 32984x4 + 55216x3 - 27415x2 + 4260x - 668 \( 2^{20}\cdot 3^{7}\cdot 13^{2}\cdot 1707745189^{2} \) 14T58 Trivial (GRH)
14.14.7617290481169169453542696550400.1 x14 - 4x13 - 36x12 + 112x11 + 492x10 - 1076x9 - 2712x8 + 5232x7 + 5850x6 - 12656x5 - 2158x4 + 11724x3 - 4049x2 - 1260x + 538 \( 2^{31}\cdot 3^{11}\cdot 5^{2}\cdot 29^{2}\cdot 53^{2}\cdot 18413^{2} \) 14T58 Trivial (GRH)
14.10.21487555788040560033827139878912.1 x14 - 4x13 - 36x12 + 132x11 + 432x10 - 1576x9 - 1404x8 + 8476x7 - 4934x6 - 14484x5 + 28590x4 - 16792x3 - 8061x2 + 14280x - 4574 \( 2^{31}\cdot 23^{2}\cdot 73^{2}\cdot 59576897^{2} \) 14T58 Trivial (GRH)
14.14.1865184467122270070590150049065997888.1 x14 - 4x13 - 36x12 + 115x11 + 483x10 - 1151x9 - 2513x8 + 5713x7 + 4196x6 - 12807x5 + 2457x4 + 6909x3 - 3668x2 + 315x - 2 \( 2^{6}\cdot 17^{7}\cdot 103^{2}\cdot 81820562059^{2} \) 14T58 Trivial (GRH)
14.0.168275149940621077381463657538240000000.1 x14 - 21x8 - 18x7 + 539x2 + 924x + 396 \( -\,2^{12}\cdot 3^{12}\cdot 5^{7}\cdot 7^{21}\cdot 11^{6} \) 14T58 $[2]$ (GRH)


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