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
14.2.4156382630830772224.1	x^14 - x^13 - 7x^12 + 9x^11 + 25x^10 + 3x^9 - 117x^8 - 73x^7 + 406x^6 + 26x^5 - 480x^4 - 164x^3 + 456x^2 + 204x - 116	\( 2^{12}\cdot 317^{6} \)	$\PSL(2,7)$ (as 14T10)	$[3]$
14.2.4156382630830772224.2	x^14 - x^13 + x^12 + 7x^11 + 9x^10 - 5x^9 + 21x^8 + 63x^7 + 32x^6 + 74x^5 + 188x^4 + 70x^3 - 230x^2 - 144x - 22	\( 2^{12}\cdot 317^{6} \)	$\PSL(2,7)$ (as 14T10)	$[3]$
14.14.18813561479041924489805824.1	x^14 - 2x^13 - 68x^12 + 88x^11 + 1770x^10 - 1104x^9 - 21606x^8 + 1216x^7 + 121300x^6 + 44128x^5 - 252684x^4 - 134112x^3 + 109696x^2 + 35584x - 10424	\( 2^{26}\cdot 809^{6} \)	$\PSL(2,7)$ (as 14T10)	Trivial (GRH)
14.14.18813561479041924489805824.4	x^14 - 5x^13 - 41x^12 + 202x^11 + 627x^10 - 3017x^9 - 4307x^8 + 20720x^7 + 11739x^6 - 67023x^5 - 2571x^4 + 89766x^3 - 26739x^2 - 25223x + 8563	\( 2^{26}\cdot 809^{6} \)	$\PSL(2,7)$ (as 14T10)	Trivial (GRH)