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 8 matches)

Label	Polynomial	Discriminant	Galois group	Class group
16.0.376325594180222976.2	x^16 + 6x^12 + 8x^10 + 11x^8 + 24x^6 + 10x^4 - 4x^2 + 1	\( 2^{24}\cdot 3^{8}\cdot 43^{4} \)	16T1291	Trivial
16.0.376325594180222976.3	x^16 + 6x^12 - 8x^10 + 11x^8 - 24x^6 + 10x^4 + 4x^2 + 1	\( 2^{24}\cdot 3^{8}\cdot 43^{4} \)	16T1291	Trivial
16.8.588075867888469140625.1	x^16 - 4x^15 + 2x^14 + 16x^13 - 30x^12 - 15x^11 + 95x^10 - 42x^9 - 190x^8 + 282x^7 + 10x^6 - 285x^5 + 145x^4 + 39x^3 - 28x^2 - x + 1	\( 5^{8}\cdot 6229^{4} \)	16T1291	Trivial (GRH)
16.8.8451169026457600000000.1	x^16 - 6x^15 + 14x^14 - 16x^13 - 2x^12 + 46x^11 - 114x^10 + 186x^9 - 189x^8 + 4x^7 + 326x^6 - 486x^5 + 188x^4 + 76x^3 - 36x^2 - 4x + 1	\( 2^{20}\cdot 5^{8}\cdot 379^{4} \)	16T1291	Trivial (GRH)
16.0.135218704423321600000000.1	x^16 + 24x^14 + 204x^12 + 748x^10 + 1158x^8 + 784x^6 + 236x^4 + 28x^2 + 1	\( 2^{24}\cdot 5^{8}\cdot 379^{4} \)	16T1291	$[2, 2]$ (GRH)
16.16.135218704423321600000000.1	x^16 - 6x^15 - 6x^14 + 88x^13 - 62x^12 - 402x^11 + 520x^10 + 612x^9 - 1025x^8 - 394x^7 + 818x^6 + 140x^5 - 288x^4 - 36x^3 + 38x^2 + 4x - 1	\( 2^{24}\cdot 5^{8}\cdot 379^{4} \)	16T1291	Trivial (GRH)
16.0.626295219788185600000000.1	x^16 + 28x^14 + 254x^12 + 984x^10 + 1647x^8 + 1000x^6 + 258x^4 + 28x^2 + 1	\( 2^{32}\cdot 5^{8}\cdot 139^{4} \)	16T1291	$[2, 2]$ (GRH)
16.16.626295219788185600000000.1	x^16 - 28x^14 + 254x^12 - 984x^10 + 1647x^8 - 1000x^6 + 258x^4 - 28x^2 + 1	\( 2^{32}\cdot 5^{8}\cdot 139^{4} \)	16T1291	Trivial (GRH)