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
13.5.8423789045905096704.1	x^13 - x^12 - 3x^11 - 7x^10 + 37x^9 - 9x^8 - 168x^7 + 24x^6 + 396x^5 + 20x^4 - 128x^3 + 192x^2 - 176x - 16	\( 2^{28}\cdot 3^{22} \)	$\PSL(3,3)$ (as 13T7)	Trivial
13.5.8423789045905096704.2	x^13 - 2x^12 - 8x^10 + 55x^9 - 90x^8 - 108x^7 + 684x^6 - 1341x^5 + 1526x^4 - 1090x^3 + 468x^2 - 100x + 8	\( 2^{28}\cdot 3^{22} \)	$\PSL(3,3)$ (as 13T7)	Trivial
13.13.362838554526023011241407675367424.1	x^13 - 214x^11 - 528x^10 + 15084x^9 + 63024x^8 - 390420x^7 - 2357568x^6 + 2053638x^5 + 30420288x^4 + 30740796x^3 - 108639936x^2 - 240370524x - 132080544	\( 2^{36}\cdot 3^{16}\cdot 13^{6}\cdot 71^{4} \)	$\PSL(3,3)$ (as 13T7)	Trivial (GRH)
13.13.362838554526023011241407675367424.2	x^13 - 222x^11 - 64x^10 + 18444x^9 + 14832x^8 - 723404x^7 - 1021200x^6 + 13437870x^5 + 27216624x^4 - 96770628x^3 - 257555808x^2 + 34006548x + 256489920	\( 2^{36}\cdot 3^{16}\cdot 13^{6}\cdot 71^{4} \)	$\PSL(3,3)$ (as 13T7)	Trivial (GRH)