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Results (displaying all 4 matches)

Label Polynomial Discriminant Galois group Class group
15.3.1240576436601868288.1 x15 - 5x14 + 16x13 - 39x12 + 65x11 - 91x10 + 78x9 - 39x8 - 26x7 + 78x6 - 78x5 + 52x4 - 13x3 - 9x2 + 6x - 1 \( 2^{12}\cdot 13^{13} \) $F_5\times C_3$ (as 15T8) Trivial
15.3.1324654439158203125.1 x15 - 14x10 + 35x5 + 7 \( 5^{9}\cdot 7^{14} \) $F_5\times C_3$ (as 15T8) Trivial
15.15.1730160900125000000000000.1 x15 - 30x13 + 360x11 - 12x10 - 2200x9 + 240x8 + 7200x7 - 1680x6 - 11980x5 + 4800x4 + 7800x3 - 4800x2 + 400x + 104 \( 2^{12}\cdot 5^{15}\cdot 7^{12} \) $F_5\times C_3$ (as 15T8) Trivial (GRH)
15.15.15088641971036407470703125.1 x15 - 35x13 + 455x11 - 70x10 - 2800x9 + 1225x8 + 8575x7 - 6475x6 - 11375x5 + 12250x4 + 3500x3 - 6125x2 + 875 \( 3^{6}\cdot 5^{15}\cdot 7^{14} \) $F_5\times C_3$ (as 15T8) Trivial (GRH)


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