Global number field search results

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

Results (displaying all 6 matches)

Label	Polynomial	Discriminant	Galois group	Class group
21.7.7789572797838822254025630224384000000.1	x^21 + 7x^19 - 70x^17 - 651x^15 - 106x^14 + 147x^13 + 1106x^12 + 12593x^11 + 11676x^10 + 28469x^9 - 1918x^8 - 7394x^7 - 60760x^6 - 185780x^5 + 120540x^4 + 233205x^3 + 168070x^2 - 432040x + 140680	\( -\,2^{18}\cdot 5^{6}\cdot 7^{21}\cdot 23^{7} \)	21T55	Trivial (GRH)
21.7.7789572797838822254025630224384000000.2	x^21 + 7x^19 - 70x^17 - 651x^15 - 36x^14 + 147x^13 - 462x^12 + 12593x^11 - 3640x^10 + 28469x^9 - 20258x^8 - 9958x^7 - 50470x^6 - 66220x^5 - 34300x^4 - 31675x^3 + 3500x - 1000	\( -\,2^{18}\cdot 5^{6}\cdot 7^{21}\cdot 23^{7} \)	21T55	Trivial (GRH)
21.3.44004391539662903922836680589982810112.1	x^21 - 21x^19 + 189x^17 - 952x^15 - 12x^14 + 2940x^13 + 168x^12 - 5733x^11 - 924x^10 + 7007x^9 + 2520x^8 - 5137x^7 - 3528x^6 + 2002x^5 + 2352x^4 - 231x^3 - 588x^2 - 56x + 172	\( -\,2^{14}\cdot 7^{21}\cdot 37^{10} \)	21T55	Trivial (GRH)
21.3.44004391539662903922836680589982810112.2	x^21 + 21x^19 + 189x^17 + 952x^15 - 74x^14 + 2940x^13 - 1036x^12 + 5733x^11 - 5698x^10 + 7007x^9 - 15540x^8 + 6073x^7 - 21756x^6 + 8554x^5 - 14504x^4 + 13335x^3 - 3626x^2 + 6496x + 1172	\( -\,2^{14}\cdot 7^{21}\cdot 37^{10} \)	21T55	Trivial (GRH)
21.21.55599491807759182102966212420960256000000.1	x^21 - 49x^19 + 959x^17 - 9758x^15 - 202x^14 + 56350x^13 + 4494x^12 - 190169x^11 - 35952x^10 + 373723x^9 + 126630x^8 - 403689x^7 - 210700x^6 + 199850x^5 + 157780x^4 - 15435x^3 - 41160x^2 - 12600x - 1220	\( 2^{26}\cdot 5^{6}\cdot 7^{21}\cdot 37^{7} \)	21T55	Trivial (GRH)
21.21.17175560156999570560463119411801776147398656.1	x^21 - 63x^19 + 1617x^17 - 21952x^15 - 546x^14 + 171794x^13 + 17402x^12 - 797181x^11 - 193844x^10 + 2187409x^9 + 942158x^8 - 3354089x^7 - 2150512x^6 + 2406222x^5 + 2142868x^4 - 378651x^3 - 642096x^2 - 80808x + 18772	\( 2^{26}\cdot 7^{21}\cdot 13^{6}\cdot 37^{7} \)	21T55	Trivial (GRH)