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
23.17.696771975062209357134867192571475966589863.1	x^23 - 3x^22 - 18x^21 + 55x^20 + 141x^19 - 429x^18 - 638x^17 + 1858x^16 + 1864x^15 - 4889x^14 - 3693x^13 + 8033x^12 + 4990x^11 - 8160x^10 - 4433x^9 + 4919x^8 + 2383x^7 - 1652x^6 - 677x^5 + 297x^4 + 89x^3 - 27x^2 - 4x + 1	\( -\,17\cdot 40986586768365256302051011327733880387639 \)	$S_{23}$ (as 23T7)	Trivial (GRH)
23.17.1141341323415075008135606599043792165942047.1	x^23 - 3x^22 - 18x^21 + 55x^20 + 141x^19 - 429x^18 - 638x^17 + 1858x^16 + 1864x^15 - 4889x^14 - 3693x^13 + 8033x^12 + 4990x^11 - 8160x^10 - 4433x^9 + 4919x^8 + 2383x^7 - 1652x^6 - 677x^5 + 298x^4 + 89x^3 - 28x^2 - 4x + 1	\( -\,1223\cdot 879051344165227\cdot 1061634057189152640819707 \)	$S_{23}$ (as 23T7)	Trivial (GRH)