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 all 8 matches)

Label	Polynomial	Discriminant	Galois group	Class group
20.0.2274710360342158457933824.1	x^20 - x^19 - x^18 + x^17 + x^16 + x^15 - 2x^14 - x^11 + 3x^10 - x^9 - 2x^6 + x^5 + x^4 + x^3 - x^2 - x + 1	\( 2^{12}\cdot 47^{6}\cdot 61^{6} \)	20T149	Trivial
20.4.2745418113754971322187776.1	x^20 + x^18 - 4x^17 - 3x^16 - 2x^15 + 7x^14 - 6x^13 - 18x^12 - 8x^11 + 8x^10 + 8x^9 - 18x^8 + 6x^7 + 7x^6 + 2x^5 - 3x^4 + 4x^3 + x^2 + 1	\( 2^{26}\cdot 587^{6} \)	20T149	Trivial
20.0.2822622366061589570781184.1	x^20 - 2x^19 + 3x^18 - 4x^17 - x^16 + 13x^14 + 4x^13 - 12x^12 + 2x^11 + 8x^10 + 2x^9 - 12x^8 + 4x^7 + 13x^6 - x^4 - 4x^3 + 3x^2 - 2x + 1	\( 2^{24}\cdot 743^{6} \)	20T149	Trivial
20.4.7039949498771842313261056.1	x^20 - 3x^19 + x^18 + x^17 + 3x^16 + 3x^15 - 2x^14 - 22x^13 + 24x^12 - 35x^11 + 59x^10 - 35x^9 + 24x^8 - 22x^7 - 2x^6 + 3x^5 + 3x^4 + x^3 + x^2 - 3x + 1	\( 2^{12}\cdot 3461^{6} \)	20T149	Trivial
20.8.15398252078750514273032991801.1	x^20 - 2x^19 + 2x^18 - 12x^17 + 14x^16 + x^15 - 138x^14 + 251x^13 - 95x^12 - 218x^11 + 473x^10 - 218x^9 - 95x^8 + 251x^7 - 138x^6 + x^5 + 14x^4 - 12x^3 + 2x^2 - 2x + 1	\( 3^{10}\cdot 7993^{6} \)	20T149	Trivial (GRH)
20.8.25508600641403437249416134656.1	x^20 - 4x^19 + 7x^18 - 6x^17 - 26x^16 + 58x^15 - 101x^14 + 46x^13 + 68x^12 - 172x^11 + 304x^10 - 168x^9 - 93x^8 + 702x^7 - 66x^6 - 8x^5 + 786x^4 + 376x^3 - 176x^2 - 160x - 32	\( 2^{24}\cdot 3391^{6} \)	20T149	Trivial (GRH)
20.20.3733366322992474864549675248123904.1	x^20 - 4x^19 - 24x^18 + 102x^17 + 208x^16 - 966x^15 - 838x^14 + 4388x^13 + 1798x^12 - 10728x^11 - 1999x^10 + 14786x^9 + 692x^8 - 11422x^7 + 715x^6 + 4608x^5 - 741x^4 - 780x^3 + 196x^2 + 16x - 4	\( 2^{24}\cdot 37^{6}\cdot 131^{8} \)	20T149	Trivial (GRH)
20.20.43334929746835654630974739845609961.1	x^20 - 34x^18 + 435x^16 - 2781x^14 + 9857x^12 - 20063x^10 + 23165x^8 - 14143x^6 + 3814x^4 - 280x^2 + 1	\( 592661^{6} \)	20T149	Trivial (GRH)