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 8 matches)

Label	Polynomial	Discriminant	Galois group	Class group
15.1.3866748957219885075.1	x^15 - 4x^12 + 5x^9 - 4x^6 + 6x^3 - 5	\( -\,3^{15}\cdot 5^{2}\cdot 47^{6} \)	15T55	Trivial
15.1.3866748957219885075.2	x^15 - 5x^12 + 10x^9 - 13x^6 + 13x^3 - 5	\( -\,3^{15}\cdot 5^{2}\cdot 47^{6} \)	15T55	Trivial
15.3.18247055708931200000.1	x^15 - 3x^14 - 3x^13 + 18x^12 - 3x^11 - 48x^10 + 8x^9 + 74x^8 + 7x^7 - 62x^6 + 2x^5 - 67x^4 - 55x^3 - 18x^2 - 17x - 1	\( 2^{10}\cdot 5^{5}\cdot 23^{2}\cdot 47^{6} \)	15T55	Trivial
15.5.6628916477715643169523.2	x^15 - 9x^12 + 27x^9 - 30x^6 + 7x^3 + 3	\( -\,3^{13}\cdot 401^{6} \)	15T55	Trivial
15.3.9652692470024604800000.1	x^15 - 5x^14 + 3x^13 + 8x^12 - 19x^11 + 164x^10 - 480x^9 + 992x^8 - 1583x^7 + 1842x^6 - 3926x^5 + 4033x^4 - 4435x^3 + 6948x^2 - 287x + 829	\( 2^{10}\cdot 5^{5}\cdot 23^{4}\cdot 47^{6} \)	15T55	Trivial (GRH)
15.5.536942234694967096731363.1	x^15 - 5x^12 - 17x^9 + 10x^6 + 21x^3 - 9	\( -\,3^{17}\cdot 401^{6} \)	15T55	Trivial
15.15.566852702762309292388072502432118253125.1	x^15 - x^14 - 164x^13 - 223x^12 + 10346x^11 + 35689x^10 - 269960x^9 - 1615725x^8 + 1235925x^7 + 27572625x^6 + 56075375x^5 - 96115625x^4 - 605233125x^3 - 1103753125x^2 - 937128125x - 315628125	\( 3^{8}\cdot 5^{5}\cdot 19^{2}\cdot 401^{6}\cdot 769^{2}\cdot 5581^{2} \)	15T55	$[3]$ (GRH)
15.15.1172475902651239286742748476173737753125.1	x^15 - 7x^14 - 172x^13 + 720x^12 + 12969x^11 - 17004x^10 - 498180x^9 - 511152x^8 + 8799029x^7 + 26762204x^6 - 33530967x^5 - 284567340x^4 - 514816417x^3 - 345361931x^2 - 12649353x + 46908749	\( 3^{8}\cdot 5^{5}\cdot 17^{4}\cdot 401^{6}\cdot 405799^{2} \)	15T55	$[3]$ (GRH)