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Results (displaying all 8 matches)

Label Polynomial Discriminant Galois group Class group
15.1.1005792029461681407.1 x15 - 2x14 - 3x13 + 8x12 + 4x11 - 19x10 + 3x9 + 33x8 - 23x7 - 47x6 + 39x5 + 43x4 - 13x3 - 23x2 - 8x - 1 \( -\,3^{6}\cdot 11^{8}\cdot 23^{5} \) $((C_5^2 : C_3):C_2):C_2$ (as 15T18) Trivial
15.5.24552700042724609375.1 x15 - 15x13 - 20x12 + 70x11 + 199x10 + 50x9 - 440x8 - 740x7 - 400x6 + 200x5 + 425x4 + 275x3 + 90x2 + 15x + 1 \( -\,5^{18}\cdot 23^{5} \) $((C_5^2 : C_3):C_2):C_2$ (as 15T18) Trivial
15.3.6575202805284367132329.1 x15 - x14 - 4x13 + 11x12 + 7x11 - 61x10 - 20x9 + 174x8 + 70x7 - 242x6 - 84x5 + 175x4 + 14x3 - 83x2 + x + 9 \( 3^{7}\cdot 11^{8}\cdot 107^{5} \) $((C_5^2 : C_3):C_2):C_2$ (as 15T18) Trivial
15.1.12988378322601318359375.1 x15 - 5x12 + 15x11 + 10x10 - 100x9 + 75x8 - 240x7 + 820x6 - 1430x5 + 2425x4 - 3250x3 + 2740x2 - 1705x + 1003 \( -\,5^{18}\cdot 23^{7} \) $((C_5^2 : C_3):C_2):C_2$ (as 15T18) Trivial (GRH)
15.5.7789948783671344586860223.1 x15 - 4x14 - 12x13 + 63x12 + 75x11 - 365x10 - 859x9 - 1340x8 - 2526x7 + 965x6 - 1651x5 + 7887x4 + 935x3 + 418x2 - 2167x - 671 \( -\,3^{6}\cdot 11^{12}\cdot 23^{7} \) $((C_5^2 : C_3):C_2):C_2$ (as 15T18) $[5]$ (GRH)
15.3.122463012708006247915836261129.1 x15 + 29x13 - 15x12 + 365x11 + 708x10 + 1338x9 + 15525x8 - 1890x7 + 53930x6 - 173362x5 + 36562x4 - 32759x3 - 167023x2 + 651327x - 295769 \( 3^{5}\cdot 11^{12}\cdot 107^{7} \) $((C_5^2 : C_3):C_2):C_2$ (as 15T18) $[5]$ (GRH)
15.15.7360671657636832731250000000000.1 x15 - 2x14 - 138x13 + 459x12 + 6294x11 - 29158x10 - 90469x9 + 640304x8 - 282922x7 - 3320427x6 + 5075634x5 + 1483772x4 - 5986612x3 + 1193096x2 + 1830056x - 504860 \( 2^{10}\cdot 5^{14}\cdot 19^{8}\cdot 37^{5} \) $((C_5^2 : C_3):C_2):C_2$ (as 15T18) Trivial (GRH)
15.15.820758359193064981054673488281250000000000.1 x15 - 855x13 - 2470x12 + 273125x11 + 1334484x10 - 41415725x9 - 270977430x8 + 3053529330x7 + 26183048420x6 - 86339970012x5 - 1200406622100x4 - 952711121780x3 + 19747269239240x2 + 70001430753280x + 71323937370032 \( 2^{10}\cdot 5^{18}\cdot 19^{12}\cdot 37^{7} \) $((C_5^2 : C_3):C_2):C_2$ (as 15T18) Trivial (GRH)


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