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
16.4.20290061731065808203125.1	x^16 - 4x^15 + 14x^14 - 30x^13 + 37x^12 + 3x^11 - 158x^10 + 423x^9 - 915x^8 + 1034x^7 - 1558x^6 + 2051x^5 - 162x^4 + 1754x^3 - 773x^2 - 635x - 811	\( 5^{8}\cdot 29^{4}\cdot 149^{5} \)	16T1430	Trivial
16.4.20290061731065808203125.2	x^16 - 4x^15 + 14x^14 - 29x^13 + 55x^12 - 115x^11 + 118x^10 - 174x^9 + 466x^8 - 207x^7 - 87x^6 - 944x^5 + 730x^4 + 1361x^3 - 1400x^2 - 273x - 11	\( 5^{8}\cdot 29^{4}\cdot 149^{5} \)	16T1430	Trivial
16.0.1711412253522666708795392.1	x^16 + 13x^14 + 79x^12 + 280x^10 + 638x^8 + 956x^6 + 916x^4 + 512x^2 + 128	\( 2^{33}\cdot 13^{4}\cdot 17^{8} \)	16T1430	Trivial
16.0.1711412253522666708795392.2	x^16 - 13x^14 + 79x^12 - 280x^10 + 638x^8 - 956x^6 + 916x^4 - 512x^2 + 128	\( 2^{33}\cdot 13^{4}\cdot 17^{8} \)	16T1430	Trivial
16.0.202650197413724823740953600000000.1	x^16 + 180x^14 + 12908x^12 + 480955x^10 + 10154633x^8 + 124160495x^6 + 856071173x^4 + 3034925355x^2 + 4259406061	\( 2^{16}\cdot 5^{8}\cdot 29^{4}\cdot 1621^{5} \)	16T1430	$[2, 207240]$ (GRH)
16.16.202650197413724823740953600000000.1	x^16 - 180x^14 + 12908x^12 - 480955x^10 + 10154633x^8 - 124160495x^6 + 856071173x^4 - 3034925355x^2 + 4259406061	\( 2^{16}\cdot 5^{8}\cdot 29^{4}\cdot 1621^{5} \)	16T1430	Trivial (GRH)
16.0.126656373383578014838096000000000000.1	x^16 + 400x^14 + 64435x^12 + 5451425x^10 + 263794450x^8 + 7417493375x^6 + 116846137750x^4 + 922958901250x^2 + 2662128788125	\( 2^{16}\cdot 5^{12}\cdot 29^{4}\cdot 1621^{5} \)	16T1430	$[2, 4, 4, 323200]$ (GRH)
16.16.126656373383578014838096000000000000.1	x^16 - 400x^14 + 64435x^12 - 5451425x^10 + 263794450x^8 - 7417493375x^6 + 116846137750x^4 - 922958901250x^2 + 2662128788125	\( 2^{16}\cdot 5^{12}\cdot 29^{4}\cdot 1621^{5} \)	16T1430	Trivial (GRH)