Number field search results

Degree	Signature	Class number	Class group structure	CM field
Ramified prime count	Ramified	Unramified primes	Galois group	Is Galois
Discriminant	Root discriminant	Regulator	Intermediate field

Results (displaying both matches)

 

Label	Polynomial	Discriminant	Galois group	Class group
17.1.544...000.1	x^17 - 5x^16 + 40x^15 - 140x^14 + 610x^13 - 1622x^12 + 4870x^11 - 10220x^10 + 22720x^9 - 38080x^8 + 63500x^7 - 84100x^6 + 102200x^5 - 102400x^4 + 83000x^3 - 55864x^2 + 24080x - 9400	\( 2^{16}\cdot 3^{20}\cdot 5^{22} \)	$\PSL(2,16):C_4$ (as 17T8)	trivial (GRH)
17.1.205...000.1	x^17 - 5x^16 + 40x^15 - 140x^14 + 610x^13 - 1622x^12 + 4870x^11 - 10220x^10 + 22720x^9 - 38080x^8 + 63500x^7 - 84100x^6 + 102200x^5 - 102400x^4 + 83000x^3 - 55288x^2 + 23360x - 5800	\( 2^{16}\cdot 3^{30}\cdot 5^{16} \)	$\PSL(2,16):C_4$ (as 17T8)	trivial (GRH)