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
15.3.8938060087032505314804961.1	x^15 - 5x^14 + 20x^13 - 36x^12 - 42x^11 + 56x^10 + 532x^9 - 700x^8 + 2030x^7 + 868x^6 - 9408x^5 + 8918x^4 - 17640x^3 + 7840x^2 - 2205x - 1421	\( 7^{12}\cdot 71^{8} \)	$(C_5^2 : C_3):C_2$ (as 15T12)	Trivial (GRH)
15.3.227131131690502261690628246149441.1	x^15 - 3x^14 - 81x^13 + 482x^12 + 1855x^11 - 20398x^10 - 17885x^9 + 216818x^8 - 344645x^7 - 1939966x^6 - 1313053x^5 + 4806214x^4 - 16258641x^3 - 76618654x^2 - 46619874x + 86089913	\( 7^{12}\cdot 71^{12} \)	$(C_5^2 : C_3):C_2$ (as 15T12)	$[5, 5]$ (GRH)
15.15.8604216546410890678897857666015625.2	x^15 - 190x^13 - 295x^12 + 11170x^11 + 29483x^10 - 198850x^9 - 614795x^8 + 922090x^7 + 4387410x^6 + 1717736x^5 - 7816650x^4 - 9556485x^3 - 2437450x^2 + 647185x - 21853	\( 5^{18}\cdot 7^{10}\cdot 41^{8} \)	$(C_5^2 : C_3):C_2$ (as 15T12)	Trivial (GRH)
15.15.24313459552402584855693089176177978515625.1	x^15 - 615x^13 - 1230x^12 + 142680x^11 + 519839x^10 - 15801400x^9 - 78738040x^8 + 868413005x^7 + 5416669490x^6 - 21713100456x^5 - 172685011550x^4 + 170114602855x^3 + 2260510932180x^2 + 245238148250x - 9370162894441	\( 5^{18}\cdot 7^{10}\cdot 41^{12} \)	$(C_5^2 : C_3):C_2$ (as 15T12)	$[5]$ (GRH)