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Results (displaying all 4 matches)

Label Polynomial Discriminant Galois group Class group
15.3.8620460479736328125.1 x15 - x10 - 2x5 + 1 \( 5^{15}\cdot 7^{10} \) $(C_5^2 : C_4):C_3$ (as 15T19) Trivial
15.3.8620460479736328125.2 x15 - 4x10 + 3x5 + 1 \( 5^{15}\cdot 7^{10} \) $(C_5^2 : C_4):C_3$ (as 15T19) Trivial
15.15.6731371672314453125000000000000.1 x15 - 60x13 + 1245x11 - 148x10 - 11750x9 + 3450x8 + 53125x7 - 27500x6 - 106875x5 + 87500x4 + 60625x3 - 93750x2 + 37500x - 5000 \( 2^{12}\cdot 5^{23}\cdot 13^{10} \) $(C_5^2 : C_4):C_3$ (as 15T19) Trivial (GRH)
15.15.28802967316428066125000000000000.1 x15 - 95x13 + 3365x11 - 192x10 - 57850x9 + 4810x8 + 511225x7 - 11830x6 - 2226068x5 - 329550x4 + 4009525x3 + 1428050x2 - 1142440x - 228488 \( 2^{12}\cdot 5^{15}\cdot 7^{10}\cdot 13^{8} \) $(C_5^2 : C_4):C_3$ (as 15T19) Trivial (GRH)


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