Global number field search results

Further refine search

Degree	Signature	Galois group	Class number	Class group
Regulator	Num. ramified primes	Ramified primes		Unramified primes
CM field	Discriminant		Root discriminant

Results (displaying both matches)

Label	Polynomial	Discriminant	Galois group	Class group
17.15.2661311410581956875675760248.1	x^17 - 3x^16 - 12x^15 + 38x^14 + 57x^13 - 190x^12 - 136x^11 + 476x^10 + 169x^9 - 630x^8 - 101x^7 + 433x^6 + 24x^5 - 146x^4 - 2x^3 + 21x^2 - 1	\( -\,2^{3}\cdot 332663926322744609459470031 \)	$S_{17}$ (as 17T10)	Trivial (GRH)
17.15.39335049171601488497404347332.1	x^17 - 3x^16 - 13x^15 + 41x^14 + 67x^13 - 222x^12 - 175x^11 + 605x^10 + 247x^9 - 872x^8 - 187x^7 + 640x^6 + 68x^5 - 210x^4 - 6x^3 + 26x^2 - 1	\( -\,2^{2}\cdot 23\cdot 47\cdot 1443727\cdot 6300992077700317559 \)	$S_{17}$ (as 17T10)	Trivial (GRH)