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
14.2.4156382630830772224.3	x^14 - 3x^13 + 13x^12 - 27x^11 + 45x^10 - 21x^9 - 49x^8 + 203x^7 - 306x^6 + 348x^5 - 220x^4 + 116x^3 - 8x^2 + 8x - 8	\( 2^{12}\cdot 317^{6} \)	14T33	Trivial
14.2.8095041908908336369.1	x^14 - 4x^13 + 13x^12 - 26x^11 + 30x^10 - 30x^9 - 13x^8 + 12x^7 - 95x^6 + 142x^5 - 98x^4 - 13x^3 + 471x^2 - 372x - 487	\( 13^{6}\cdot 109^{6} \)	14T33	Trivial
14.6.18813561479041924489805824.1	x^14 - 5x^13 + 42x^12 - 111x^11 + 382x^10 - 521x^9 + 357x^8 + 2748x^7 - 11038x^6 + 25006x^5 - 37468x^4 - 10742x^3 + 51888x^2 - 5782x + 142	\( 2^{26}\cdot 809^{6} \)	14T33	$[2]$ (GRH)
14.14.18813561479041924489805824.2	x^14 - x^13 - 58x^12 + 119x^11 + 1004x^10 - 2603x^9 - 6791x^8 + 20998x^7 + 17647x^6 - 68809x^5 - 19464x^4 + 97817x^3 + 9870x^2 - 48355x - 557	\( 2^{26}\cdot 809^{6} \)	14T33	Trivial (GRH)
14.6.18813561479041924489805824.2	x^14 - 5x^13 + 12x^12 - 65x^11 - 36x^10 + 1019x^9 - 2321x^8 + 3322x^7 + 2905x^6 - 35155x^5 + 39686x^4 + 1107x^3 + 123198x^2 - 227851x + 71411	\( 2^{26}\cdot 809^{6} \)	14T33	Trivial (GRH)
14.14.18813561479041924489805824.3	x^14 - x^13 - 52x^12 - 25x^11 + 782x^10 + 801x^9 - 4355x^8 - 5314x^7 + 8343x^6 + 9923x^5 - 4014x^4 - 2843x^3 + 916x^2 + 5x - 1	\( 2^{26}\cdot 809^{6} \)	14T33	Trivial (GRH)