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
15.7.1203900862506630378212825497600000000.1	x^15 - 2x^14 - 117x^13 + 321x^12 + 3558x^11 - 7866x^10 - 52340x^9 + 64680x^8 + 535969x^7 - 353230x^6 - 2720445x^5 + 1394197x^4 + 5974767x^3 - 2556360x^2 - 4270623x + 794065	\( 2^{24}\cdot 5^{8}\cdot 13^{10}\cdot 1154353^{2} \)	15T67	Trivial (GRH)
15.7.2581892476484237352007951974400000000.1	x^15 - x^14 - 93x^13 + 261x^12 + 4336x^11 - 19308x^10 - 96464x^9 + 582272x^8 + 1027267x^7 - 8875651x^6 - 506357x^5 + 59519321x^4 - 50194649x^3 - 134712315x^2 + 193450599x - 35195499	\( 2^{24}\cdot 5^{8}\cdot 13^{10}\cdot 619^{2}\cdot 2731^{2} \)	15T67	Trivial (GRH)
15.3.45924806577969328401107322831381126116656161.1	x^15 + 27x^13 - 76x^12 + 2640x^11 - 11358x^10 - 21029x^9 + 130602x^8 - 22668x^7 - 465624x^6 + 645456x^5 - 210144x^4 - 151552x^3 + 36864x^2 + 34560x - 13824	\( 3^{20}\cdot 19^{10}\cdot 59^{2}\cdot 61^{6}\cdot 3461^{2} \)	15T67	$[3]$ (GRH)
15.15.187650668178675410163314785843943833600000000.1	x^15 - x^14 - 285x^13 + 453x^12 + 26096x^11 - 51724x^10 - 1041392x^9 + 2504704x^8 + 19828675x^7 - 58060643x^6 - 163395653x^5 + 632388425x^4 + 201820423x^3 - 2526579387x^2 + 2758438455x - 798463067	\( 2^{24}\cdot 5^{8}\cdot 13^{10}\cdot 151^{2}\cdot 3947^{2}\cdot 24181^{2} \)	15T67	Trivial (GRH)
15.15.380161411092019035625018770220810240000000000.1	x^15 - 7x^14 - 296x^13 + 2167x^12 + 28674x^11 - 226870x^10 - 1044166x^9 + 9834372x^8 + 9917111x^7 - 174872823x^6 + 113400248x^5 + 1074185801x^4 - 1656509907x^3 - 278900011x^2 + 702378508x + 160028479	\( 2^{24}\cdot 5^{10}\cdot 13^{12}\cdot 315583241^{2} \)	15T67	Trivial (GRH)