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Results (displaying all 8 matches)

Label Polynomial Discriminant Galois group Class group
15.11.1456857821075439453125.1 x15 - 15x13 + 90x11 - 2x10 - 275x9 + 20x8 + 450x7 - 70x6 - 376x5 + 100x4 + 130x3 - 50x2 - 5x + 1 \( 5^{15}\cdot 7^{10}\cdot 13^{2} \) 15T59 Trivial (GRH)
15.11.7249807263458251953125.1 x15 - 15x13 + 90x11 - 4x10 - 275x9 + 40x8 + 450x7 - 140x6 - 372x5 + 200x4 + 110x3 - 100x2 + 15x + 1 \( 5^{15}\cdot 7^{10}\cdot 29^{2} \) 15T59 Trivial (GRH)
15.7.35309406125000000000000.1 x15 - 15x13 + 90x11 - 2x10 - 275x9 + 20x8 + 450x7 - 70x6 - 383x5 + 100x4 + 165x3 - 50x2 - 40x + 8 \( 2^{12}\cdot 5^{15}\cdot 7^{10} \) 15T59 Trivial
15.7.35309406125000000000000.2 x15 - 15x13 + 90x11 - 14x10 - 275x9 + 140x8 + 450x7 - 490x6 - 375x5 + 700x4 + 125x3 - 350x2 + 56 \( 2^{12}\cdot 5^{15}\cdot 7^{10} \) 15T59 Trivial (GRH)
15.3.4129596430005157470703125.1 x15 + 15x13 + 90x11 + 275x9 + 450x7 + 372x5 + 110x3 - 15x - 1 \( 3^{20}\cdot 5^{15}\cdot 197^{2} \) 15T59 Trivial
15.3.5967289635125000000000000.1 x15 + 15x13 + 90x11 - 26x10 + 275x9 - 260x8 + 450x7 - 910x6 + 535x5 - 1300x4 + 925x3 - 650x2 + 800x + 104 \( 2^{12}\cdot 5^{15}\cdot 7^{10}\cdot 13^{2} \) 15T59 Trivial (GRH)
15.15.299209118060166125000000000000.1 x15 - 60x13 + 1440x11 - 152x10 - 17600x9 + 6080x8 + 115200x7 - 85120x6 - 376448x5 + 486400x4 + 360960x3 - 972800x2 + 604160x - 122368 \( 2^{12}\cdot 5^{15}\cdot 7^{10}\cdot 41^{2}\cdot 71^{2} \) 15T59 Trivial (GRH)
15.15.3710364839706702058501959007886164480000.1 x15 - x14 - 306x13 + 333x12 + 28495x11 - 15049x10 - 1207192x9 - 142563x8 + 25291850x7 + 17147018x6 - 249268798x5 - 260610108x4 + 988858909x3 + 1160684561x2 - 1309842980x - 1612488125 \( 2^{12}\cdot 5^{4}\cdot 13^{13}\cdot 2187542681^{2} \) 15T59 Trivial (GRH)


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