Number field search results

Degree	Signature	Class number	Class group structure	CM field
Ramified prime count	Ramified	Unramified primes	Galois group	Is Galois
Discriminant	Root discriminant	Regulator	Intermediate field	$p$-adic completions

Results (1-50 of 10137004 matches)

  There are too many results (10137004) to download.

Label	Polynomial	Discriminant	Galois group	Class group
1.1.1.1	x	\( 1 \)	Trivial (as 1T1)	trivial
2.0.3.1	x^2 - x + 1	\( -\,3 \)	$C_2$ (as 2T1)	trivial
2.0.4.1	x^2 + 1	\( -\,2^{2} \)	$C_2$ (as 2T1)	trivial
2.2.5.1	x^2 - x - 1	\( 5 \)	$C_2$ (as 2T1)	trivial
2.0.7.1	x^2 - x + 2	\( -\,7 \)	$C_2$ (as 2T1)	trivial
2.0.8.1	x^2 + 2	\( -\,2^{3} \)	$C_2$ (as 2T1)	trivial
2.2.8.1	x^2 - 2	\( 2^{3} \)	$C_2$ (as 2T1)	trivial
2.0.11.1	x^2 - x + 3	\( -\,11 \)	$C_2$ (as 2T1)	trivial
2.2.12.1	x^2 - 3	\( 2^{2}\cdot 3 \)	$C_2$ (as 2T1)	trivial
2.2.13.1	x^2 - x - 3	\( 13 \)	$C_2$ (as 2T1)	trivial
2.2.17.1	x^2 - x - 4	\( 17 \)	$C_2$ (as 2T1)	trivial
2.0.19.1	x^2 - x + 5	\( -\,19 \)	$C_2$ (as 2T1)	trivial
2.2.21.1	x^2 - x - 5	\( 3\cdot 7 \)	$C_2$ (as 2T1)	trivial
2.2.24.1	x^2 - 6	\( 2^{3}\cdot 3 \)	$C_2$ (as 2T1)	trivial
2.2.28.1	x^2 - 7	\( 2^{2}\cdot 7 \)	$C_2$ (as 2T1)	trivial
2.2.29.1	x^2 - x - 7	\( 29 \)	$C_2$ (as 2T1)	trivial
2.2.33.1	x^2 - x - 8	\( 3\cdot 11 \)	$C_2$ (as 2T1)	trivial
2.2.37.1	x^2 - x - 9	\( 37 \)	$C_2$ (as 2T1)	trivial
2.2.41.1	x^2 - x - 10	\( 41 \)	$C_2$ (as 2T1)	trivial
2.0.43.1	x^2 - x + 11	\( -\,43 \)	$C_2$ (as 2T1)	trivial
2.2.44.1	x^2 - 11	\( 2^{2}\cdot 11 \)	$C_2$ (as 2T1)	trivial
2.2.53.1	x^2 - x - 13	\( 53 \)	$C_2$ (as 2T1)	trivial
2.2.56.1	x^2 - 14	\( 2^{3}\cdot 7 \)	$C_2$ (as 2T1)	trivial
2.2.57.1	x^2 - x - 14	\( 3\cdot 19 \)	$C_2$ (as 2T1)	trivial
2.2.61.1	x^2 - x - 15	\( 61 \)	$C_2$ (as 2T1)	trivial
2.0.67.1	x^2 - x + 17	\( -\,67 \)	$C_2$ (as 2T1)	trivial
2.2.69.1	x^2 - x - 17	\( 3\cdot 23 \)	$C_2$ (as 2T1)	trivial
2.2.73.1	x^2 - x - 18	\( 73 \)	$C_2$ (as 2T1)	trivial
2.2.76.1	x^2 - 19	\( 2^{2}\cdot 19 \)	$C_2$ (as 2T1)	trivial
2.2.77.1	x^2 - x - 19	\( 7\cdot 11 \)	$C_2$ (as 2T1)	trivial
2.2.88.1	x^2 - 22	\( 2^{3}\cdot 11 \)	$C_2$ (as 2T1)	trivial
2.2.89.1	x^2 - x - 22	\( 89 \)	$C_2$ (as 2T1)	trivial
2.2.92.1	x^2 - 23	\( 2^{2}\cdot 23 \)	$C_2$ (as 2T1)	trivial
2.2.93.1	x^2 - x - 23	\( 3\cdot 31 \)	$C_2$ (as 2T1)	trivial
2.2.97.1	x^2 - x - 24	\( 97 \)	$C_2$ (as 2T1)	trivial
2.2.101.1	x^2 - x - 25	\( 101 \)	$C_2$ (as 2T1)	trivial
2.2.109.1	x^2 - x - 27	\( 109 \)	$C_2$ (as 2T1)	trivial
2.2.113.1	x^2 - x - 28	\( 113 \)	$C_2$ (as 2T1)	trivial
2.2.124.1	x^2 - 31	\( 2^{2}\cdot 31 \)	$C_2$ (as 2T1)	trivial
2.2.129.1	x^2 - x - 32	\( 3\cdot 43 \)	$C_2$ (as 2T1)	trivial
2.2.133.1	x^2 - x - 33	\( 7\cdot 19 \)	$C_2$ (as 2T1)	trivial
2.2.137.1	x^2 - x - 34	\( 137 \)	$C_2$ (as 2T1)	trivial
2.2.141.1	x^2 - x - 35	\( 3\cdot 47 \)	$C_2$ (as 2T1)	trivial
2.2.149.1	x^2 - x - 37	\( 149 \)	$C_2$ (as 2T1)	trivial
2.2.152.1	x^2 - 38	\( 2^{3}\cdot 19 \)	$C_2$ (as 2T1)	trivial
2.2.157.1	x^2 - x - 39	\( 157 \)	$C_2$ (as 2T1)	trivial
2.2.161.1	x^2 - x - 40	\( 7\cdot 23 \)	$C_2$ (as 2T1)	trivial
2.0.163.1	x^2 - x + 41	\( -\,163 \)	$C_2$ (as 2T1)	trivial
2.2.172.1	x^2 - 43	\( 2^{2}\cdot 43 \)	$C_2$ (as 2T1)	trivial
2.2.173.1	x^2 - x - 43	\( 173 \)	$C_2$ (as 2T1)	trivial

  There are too many results (10137004) to download.