Global number field search results

Further refine search

Degree	Signature	Galois group	Class number	Class group
Regulator	Num. ramified primes	Ramified primes		Unramified primes
CM field	Discriminant		Root discriminant

Results (displaying all 10 matches)

Label	Polynomial	Discriminant	Galois group	Class group
16.0.3856597794568000000000.1	x^16 - 4x^15 + 7x^14 - 22x^13 + 74x^12 - 164x^11 + 223x^10 - 248x^9 + 810x^8 - 1778x^7 + 1362x^6 + 66x^5 + 2587x^4 - 17024x^3 + 34682x^2 - 30250x + 10009	\( 2^{12}\cdot 5^{9}\cdot 7841^{3} \)	16T1888	Trivial
16.0.3856597794568000000000.2	x^16 - 3x^15 + 5x^14 + 5x^13 - 26x^12 - 27x^11 + 207x^10 - 207x^9 - 311x^8 + 1540x^7 + 142x^6 - 5042x^5 + 4443x^4 - 1325x^3 + 3445x^2 + 9653x + 3479	\( 2^{12}\cdot 5^{9}\cdot 7841^{3} \)	16T1888	Trivial
16.0.105258631054308076160000000000.1	x^16 + 80x^14 + 2395x^12 + 36118x^10 + 301296x^8 + 1398680x^6 + 3350656x^4 + 3287334x^2 + 547889	\( 2^{16}\cdot 5^{10}\cdot 547889^{3} \)	16T1888	$[9504]$ (GRH)
16.16.105258631054308076160000000000.1	x^16 - 80x^14 + 2395x^12 - 36118x^10 + 301296x^8 - 1398680x^6 + 3350656x^4 - 3287334x^2 + 547889	\( 2^{16}\cdot 5^{10}\cdot 547889^{3} \)	16T1888	Trivial (GRH)
16.0.577233192643205020288000000000.1	x^16 + 101x^14 + 3986x^12 + 78850x^10 + 834858x^8 + 4716149x^6 + 13451454x^4 + 17742385x^2 + 8260705	\( 2^{16}\cdot 5^{9}\cdot 1652141^{3} \)	16T1888	$[2, 9024]$ (GRH)
16.16.577233192643205020288000000000.1	x^16 - 81x^14 + 2704x^12 - 48113x^10 + 492909x^8 - 2926905x^6 + 9576201x^4 - 15086990x^2 + 8260705	\( 2^{16}\cdot 5^{9}\cdot 1652141^{3} \)	16T1888	Trivial (GRH)
16.0.256204171967704582387138560000000000.1	x^16 + 28x^14 + 176x^12 + 3024x^8 + 32076x^6 + 970299	\( 2^{48}\cdot 3^{14}\cdot 5^{10}\cdot 11^{7} \)	16T1888	$[2, 2]$ (GRH)
16.8.256204171967704582387138560000000000.1	x^16 - 28x^14 + 176x^12 + 3024x^8 - 32076x^6 + 970299	\( 2^{48}\cdot 3^{14}\cdot 5^{10}\cdot 11^{7} \)	16T1888	$[2]$ (GRH)
16.0.256204171967704582387138560000000000.2	x^16 + 28x^10 + 21x^8 + 176x^4 + 264x^2 + 99	\( 2^{48}\cdot 3^{14}\cdot 5^{10}\cdot 11^{7} \)	16T1888	$[2, 2]$ (GRH)
16.8.256204171967704582387138560000000000.2	x^16 - 28x^10 + 21x^8 + 176x^4 - 264x^2 + 99	\( 2^{48}\cdot 3^{14}\cdot 5^{10}\cdot 11^{7} \)	16T1888	$[2]$ (GRH)