Global number field search results

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Degree	Signature	Galois group	Class number	Class group
Regulator	Num. ramified primes	Ramified primes		Unramified primes
CM field	Discriminant		Root discriminant

Results (displaying all 4 matches)

Label	Polynomial	Discriminant	Galois group	Class group
15.3.1885291498051680625.1	x^15 - 3x^13 - 5x^12 - 5x^11 + 23x^10 - 9x^9 + 6x^8 + 19x^7 - 147x^6 + 180x^5 + 41x^4 - 193x^3 + 113x^2 - 27x + 5	\( 5^{4}\cdot 23^{4}\cdot 47^{6} \)	15T34	Trivial
15.3.4764958873194030625.1	x^15 - 3x^14 - 8x^13 + 32x^12 + 16x^11 - 134x^10 + 43x^9 + 244x^8 - 211x^7 - 98x^6 + 134x^5 + 49x^4 - 110x^3 + 55x^2 - 12x + 1	\( 5^{4}\cdot 29^{4}\cdot 47^{6} \)	15T34	Trivial
15.15.863905870301926479068937836889.1	x^15 - 79x^13 - 31x^12 + 2163x^11 + 1234x^10 - 25209x^9 - 12480x^8 + 137787x^7 + 57122x^6 - 359463x^5 - 151931x^4 + 433823x^3 + 210912x^2 - 195533x - 112047	\( 3^{16}\cdot 13^{6}\cdot 401^{6} \)	15T34	Trivial (GRH)
15.15.1802470272605254011884574005361.1	x^15 - 125x^13 - 141x^12 + 5239x^11 + 9555x^10 - 82199x^9 - 143988x^8 + 619723x^7 + 834353x^6 - 2429882x^5 - 2045407x^4 + 4765293x^3 + 1685099x^2 - 3684369x + 257049	\( 3^{12}\cdot 13^{8}\cdot 401^{6} \)	15T34	Trivial (GRH)