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 3 matches)

Label	Polynomial	Discriminant	Galois group	Class group
15.1.202943411290645599365234375.1	x^15 - 5x^13 - 45x^12 + 95x^11 + 542x^10 + 1100x^9 - 405x^8 - 9565x^7 - 12895x^6 + 12368x^5 + 235700x^4 + 523280x^3 + 1319840x^2 + 1167680x + 1504832	\( -\,5^{24}\cdot 23^{7} \)	$(C_5^2 : C_3):C_2$ (as 15T14)	Trivial (GRH)
15.1.6030617589845994121689520487.1	x^15 - x^14 - 4x^13 + 47x^12 + 69x^11 - 47x^10 - 3181x^9 + 4820x^8 + 33564x^7 - 55285x^6 - 19022x^5 + 11076x^4 + 42632x^3 + 10000x^2 - 34528x - 21568	\( -\,23^{7}\cdot 191^{8} \)	$(C_5^2 : C_3):C_2$ (as 15T14)	$[5]$ (GRH)
15.15.9102888854247560835776331977265632828069564619432357343409152.1	x^15 - 7x^14 - 14319x^13 + 527439x^12 + 38866636x^11 - 2154380624x^10 - 8693448072x^9 + 2176728943156x^8 - 38266269738784x^7 - 9894865181840x^6 + 6104238185833040x^5 - 62169788735286688x^4 + 262662521750738480x^3 - 509633033085546528x^2 + 394561383160313392x - 50455027118296432	\( 2^{10}\cdot 37^{7}\cdot 701^{8}\cdot 1061^{8} \)	$(C_5^2 : C_3):C_2$ (as 15T14)	$[5, 5]$ (GRH)