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 5 matches)

Label	Polynomial	Discriminant	Galois group	Class group
22.0.2817611963463158891460983.1	x^22 - 4x^21 + 6x^20 - 8x^19 + 15x^18 - 9x^17 - 28x^16 + 46x^15 - 14x^14 + 23x^13 + 13x^12 - 297x^11 + 488x^10 - 240x^9 + 28x^8 - 134x^7 + 194x^6 - 130x^5 + 72x^4 - 28x^3 + 8x^2 - 2x + 1	\( -\,167^{11} \)	$D_{11}$ (as 22T2)	Trivial
22.0.578978183833808423828407471.1	x^22 - 11x^21 + 67x^20 - 285x^19 + 929x^18 - 2433x^17 + 5271x^16 - 9630x^15 + 15091x^14 - 20633x^13 + 25057x^12 - 27453x^11 + 27302x^10 - 24426x^9 + 19254x^8 - 13050x^7 + 7570x^6 - 3890x^5 + 1921x^4 - 927x^3 + 362x^2 - 87x + 9	\( -\,271^{11} \)	$D_{11}$ (as 22T2)	Trivial (GRH)
22.0.191943424957750480504146841291811.1	x^22 - 11x^21 + 66x^20 - 275x^19 + 847x^18 - 1980x^17 + 3454x^16 - 4070x^15 + 1100x^14 + 9482x^13 - 30690x^12 + 60224x^11 - 77803x^10 + 49665x^9 + 48642x^8 - 188375x^7 + 271315x^6 - 233860x^5 + 132748x^4 - 52624x^3 + 14960x^2 - 2816x + 256	\( -\,11^{31} \)	$D_{11}$ (as 22T2)	Trivial (GRH)
22.22.17471883970840462300304775614373553.1	x^22 - 44x^20 + 816x^18 - 8336x^16 + 51512x^14 - 199186x^12 + 481348x^10 - 702109x^8 + 569938x^6 - 220847x^4 + 35007x^2 - 1297	\( 1297^{11} \)	$D_{11}$ (as 22T2)	Trivial (GRH)
22.22.4299288794103243236127943577240214703609.1	x^22 - 10x^21 - 29x^20 + 529x^19 - 69x^18 - 11577x^17 + 11850x^16 + 136774x^15 - 182767x^14 - 954992x^13 + 1314121x^12 + 4053245x^11 - 5095548x^10 - 10389210x^9 + 10902904x^8 + 15714269x^7 - 12265214x^6 - 13423268x^5 + 6295986x^4 + 5702075x^3 - 940712x^2 - 757690x - 2957	\( 19^{11}\cdot 211^{11} \)	$D_{11}$ (as 22T2)	Trivial (GRH)