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 4 matches)

Label	Polynomial	Discriminant	Galois group	Class group
22.0.13109994191499930367061460371.1	x^22 + 44x^18 - 22x^17 + 55x^16 + 121x^15 + 187x^14 + 11x^13 + 594x^12 + 328x^11 + 836x^10 + 770x^9 + 814x^8 + 528x^7 + 374x^6 + 143x^5 + 11x^4 - 33x^3 - 11x^2 + 1	\( -\,11^{27} \)	$F_{11}$ (as 22T4)	Trivial (GRH)
22.0.213248562554879935188951206691.1	x^22 - 4x^21 + 7x^20 - 12x^19 + 24x^18 - 33x^17 + 48x^16 - 51x^15 + 12x^14 - 2x^13 + 44x^12 + 193x^11 - 198x^10 - 426x^9 + 168x^8 + 372x^7 + 15x^6 - 99x^5 - 36x^4 - 36x^3 - 9x^2 + 18x + 9	\( -\,3^{20}\cdot 11^{19} \)	$F_{11}$ (as 22T4)	Trivial (GRH)
22.22.1856564799974488125951035818931423019008.1	x^22 - 11x^21 + 363x^19 - 924x^18 - 3795x^17 + 18029x^16 + 3872x^15 - 133661x^14 + 177265x^13 + 335500x^12 - 1066395x^11 + 478390x^10 + 1617539x^9 - 2643443x^8 + 1103938x^7 + 829103x^6 - 1076977x^5 + 385000x^4 - 737x^3 - 27214x^2 + 4235x - 77	\( 2^{20}\cdot 7^{11}\cdot 11^{23} \)	$F_{11}$ (as 22T4)	Trivial (GRH)
22.22.26819255020464372185020972278794137897009152.1	x^22 - 110x^20 - 66x^19 + 4180x^18 + 5016x^17 - 70653x^16 - 101112x^15 + 642477x^14 + 940962x^13 - 3450678x^12 - 4810374x^11 + 11274747x^10 + 14632332x^9 - 22009119x^8 - 27704688x^7 + 24186393x^6 + 32367456x^5 - 12274108x^4 - 21398190x^3 + 85745x^2 + 6107310x + 1650137	\( 2^{33}\cdot 3^{20}\cdot 11^{23} \)	$F_{11}$ (as 22T4)	Trivial (GRH)