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 6 matches)

Label	Polynomial	Discriminant	Galois group	Class group
14.2.13890008531947520000000.1	x^14 - 7x^12 - 7x^10 + 70x^8 - 10x^7 + 49x^6 - 70x^5 - 98x^4 - 49x^2 - 70x - 20	\( 2^{18}\cdot 5^{7}\cdot 7^{14} \)	14T24	Trivial
14.2.13890008531947520000000.2	x^14 + 7x^12 - 7x^10 - 70x^8 - 6x^7 + 49x^6 + 14x^5 + 98x^4 - 56x^3 - 49x^2 - 14x + 4	\( 2^{18}\cdot 5^{7}\cdot 7^{14} \)	14T24	Trivial
14.0.5406533220869181135000000.1	x^14 - 3x^7 + 6	\( -\,2^{6}\cdot 3^{13}\cdot 5^{7}\cdot 7^{14} \)	14T24	$[2]$ (GRH)
14.0.346018126135627592640000000.1	x^14 - 18x^7 + 1296	\( -\,2^{12}\cdot 3^{13}\cdot 5^{7}\cdot 7^{14} \)	14T24	$[2]$ (GRH)
14.14.2197232283487253091967827968.1	x^14 - 70x^12 + 1757x^10 - 20090x^8 - 1832x^7 + 111622x^6 + 26656x^5 - 283220x^4 - 97104x^3 + 240737x^2 + 32368x - 56066	\( 2^{27}\cdot 7^{14}\cdot 17^{6} \)	14T24	Trivial (GRH)
14.14.129095328182677475689280000000.1	x^14 - 77x^12 + 2303x^10 - 33880x^8 - 734x^7 + 254359x^6 + 28014x^5 - 906598x^4 - 318304x^3 + 1195061x^2 + 938266x + 134444	\( 2^{12}\cdot 5^{7}\cdot 7^{14}\cdot 29^{6} \)	14T24	Trivial (GRH)