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
15.11.3508488995538327547915609.1	x^15 - 3x^14 - 16x^13 + 49x^12 + 32x^11 - 38x^10 - 174x^9 - 390x^8 + 969x^7 + 348x^6 - 1173x^5 + 120x^4 + 333x^3 + 24x^2 - 88x + 13	\( 7^{10}\cdot 2281^{2}\cdot 48859^{2} \)	15T50	Trivial (GRH)
15.3.11956105637625461578369140625.1	x^15 - 5x^13 - 10x^12 + 139x^10 + 50x^9 - 1670x^8 - 1950x^7 + 6980x^6 + 16836x^5 + 5450x^4 - 28890x^3 - 58420x^2 - 39745x - 7279	\( 5^{18}\cdot 7^{10}\cdot 3331^{2} \)	15T50	Trivial (GRH)
15.7.46147275726319772173643452416.1	x^15 - 6x^14 - 15x^13 + 195x^12 - 177x^11 - 1944x^10 + 125x^9 + 17799x^8 + 6408x^7 - 65914x^6 - 5610x^5 + 101934x^4 - 28655x^3 - 49518x^2 + 36987x - 10313	\( 2^{12}\cdot 3^{20}\cdot 17^{2}\cdot 3343733^{2} \)	15T50	Trivial (GRH)
15.3.55507379263954413799411093504.1	x^15 - 5x^14 - 33x^13 + 233x^12 + 65x^11 - 2325x^10 + 815x^9 + 13241x^8 - 6709x^7 - 40119x^6 + 11733x^5 + 69219x^4 + 7603x^3 - 9583x^2 - 13475x + 2107	\( 2^{12}\cdot 7^{10}\cdot 13^{2}\cdot 883^{2}\cdot 19081^{2} \)	15T50	Trivial (GRH)
15.11.2264485717039079949313600000000.1	x^15 - 5x^14 - 57x^13 + 289x^12 + 825x^11 - 4717x^10 - 3601x^9 + 31833x^8 + 1339x^7 - 83815x^6 + 2237x^5 + 55003x^4 + 36939x^3 + 1177x^2 - 4915x + 235	\( 2^{12}\cdot 5^{8}\cdot 13^{10}\cdot 101323^{2} \)	15T50	Trivial (GRH)
15.15.6644769363943959400399066678104064.1	x^15 - 5x^14 - 97x^13 + 473x^12 + 2481x^11 - 13381x^10 - 15393x^9 + 124473x^8 - 25813x^7 - 367383x^6 + 182005x^5 + 402515x^4 - 197917x^3 - 110047x^2 + 54733x - 3877	\( 2^{12}\cdot 7^{10}\cdot 13^{4}\cdot 83^{2}\cdot 293^{2}\cdot 18439^{2} \)	15T50	Trivial (GRH)
15.7.62285142048708605347358118488040529.1	x^15 - 148x^13 - 2x^12 + 9164x^11 + 196x^10 - 303942x^9 - 7001x^8 + 5695781x^7 + 103900x^6 - 57180412x^5 - 407256x^4 + 240215638x^3 - 2362248x^2 - 5490x + 27	\( 7^{10}\cdot 3848209^{2}\cdot 3858721^{2} \)	15T50	Trivial (GRH)
15.15.103769651336273628596409096948945169.1	x^15 - 164x^13 - 14x^12 + 10901x^11 + 1470x^10 - 375360x^9 - 54292x^8 + 7059483x^7 + 798140x^6 - 68843164x^5 - 2899414x^4 + 272554703x^3 - 17470362x^2 + 322560x - 1512	\( 7^{12}\cdot 83^{2}\cdot 349^{2}\cdot 94524289^{2} \)	15T50	Trivial (GRH)