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
15.3.1240576436601868288.1	x^15 - 5x^14 + 16x^13 - 39x^12 + 65x^11 - 91x^10 + 78x^9 - 39x^8 - 26x^7 + 78x^6 - 78x^5 + 52x^4 - 13x^3 - 9x^2 + 6x - 1	\( 2^{12}\cdot 13^{13} \)	$F_5\times C_3$ (as 15T8)	Trivial
15.3.1324654439158203125.1	x^15 - 14x^10 + 35x^5 + 7	\( 5^{9}\cdot 7^{14} \)	$F_5\times C_3$ (as 15T8)	Trivial
15.15.1730160900125000000000000.1	x^15 - 30x^13 + 360x^11 - 12x^10 - 2200x^9 + 240x^8 + 7200x^7 - 1680x^6 - 11980x^5 + 4800x^4 + 7800x^3 - 4800x^2 + 400x + 104	\( 2^{12}\cdot 5^{15}\cdot 7^{12} \)	$F_5\times C_3$ (as 15T8)	Trivial (GRH)
15.15.15088641971036407470703125.1	x^15 - 35x^13 + 455x^11 - 70x^10 - 2800x^9 + 1225x^8 + 8575x^7 - 6475x^6 - 11375x^5 + 12250x^4 + 3500x^3 - 6125x^2 + 875	\( 3^{6}\cdot 5^{15}\cdot 7^{14} \)	$F_5\times C_3$ (as 15T8)	Trivial (GRH)