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 )

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Label	Polynomial	Discriminant	Galois group	Class group
2.0.47.1	x^2 - x + 12	\( -\,47 \)	$C_2$ (as 2T1)	$[5]$
2.0.79.1	x^2 - x + 20	\( -\,79 \)	$C_2$ (as 2T1)	$[5]$
2.0.103.1	x^2 - x + 26	\( -\,103 \)	$C_2$ (as 2T1)	$[5]$
2.0.127.1	x^2 - x + 32	\( -\,127 \)	$C_2$ (as 2T1)	$[5]$
2.0.131.1	x^2 - x + 33	\( -\,131 \)	$C_2$ (as 2T1)	$[5]$
2.0.179.1	x^2 - x + 45	\( -\,179 \)	$C_2$ (as 2T1)	$[5]$
2.0.227.1	x^2 - x + 57	\( -\,227 \)	$C_2$ (as 2T1)	$[5]$
2.0.347.1	x^2 - x + 87	\( -\,347 \)	$C_2$ (as 2T1)	$[5]$
2.2.401.1	x^2 - x - 100	\( 401 \)	$C_2$ (as 2T1)	$[5]$
2.0.443.1	x^2 - x + 111	\( -\,443 \)	$C_2$ (as 2T1)	$[5]$
2.0.523.1	x^2 - x + 131	\( -\,523 \)	$C_2$ (as 2T1)	$[5]$
2.0.571.1	x^2 - x + 143	\( -\,571 \)	$C_2$ (as 2T1)	$[5]$
2.0.619.1	x^2 - x + 155	\( -\,619 \)	$C_2$ (as 2T1)	$[5]$
2.0.683.1	x^2 - x + 171	\( -\,683 \)	$C_2$ (as 2T1)	$[5]$
2.0.691.1	x^2 - x + 173	\( -\,691 \)	$C_2$ (as 2T1)	$[5]$
2.0.739.1	x^2 - x + 185	\( -\,739 \)	$C_2$ (as 2T1)	$[5]$
2.0.787.1	x^2 - x + 197	\( -\,787 \)	$C_2$ (as 2T1)	$[5]$
2.2.817.1	x^2 - x - 204	\( 19\cdot 43 \)	$C_2$ (as 2T1)	$[5]$
2.0.947.1	x^2 - x + 237	\( -\,947 \)	$C_2$ (as 2T1)	$[5]$
2.0.1051.1	x^2 - x + 263	\( -\,1051 \)	$C_2$ (as 2T1)	$[5]$
2.2.1093.1	x^2 - x - 273	\( 1093 \)	$C_2$ (as 2T1)	$[5]$
2.0.1123.1	x^2 - x + 281	\( -\,1123 \)	$C_2$ (as 2T1)	$[5]$
2.2.1393.1	x^2 - x - 348	\( 7\cdot 199 \)	$C_2$ (as 2T1)	$[5]$
2.2.1429.1	x^2 - x - 357	\( 1429 \)	$C_2$ (as 2T1)	$[5]$
2.2.1641.1	x^2 - x - 410	\( 3\cdot 547 \)	$C_2$ (as 2T1)	$[5]$
2.0.1723.1	x^2 - x + 431	\( -\,1723 \)	$C_2$ (as 2T1)	$[5]$
2.0.1747.1	x^2 - x + 437	\( -\,1747 \)	$C_2$ (as 2T1)	$[5]$
2.2.1756.1	x^2 - 439	\( 2^{2}\cdot 439 \)	$C_2$ (as 2T1)	$[5]$
2.0.1867.1	x^2 - x + 467	\( -\,1867 \)	$C_2$ (as 2T1)	$[5]$
2.2.1897.1	x^2 - x - 474	\( 7\cdot 271 \)	$C_2$ (as 2T1)	$[5]$
2.2.1996.1	x^2 - 499	\( 2^{2}\cdot 499 \)	$C_2$ (as 2T1)	$[5]$
2.2.2081.1	x^2 - x - 520	\( 2081 \)	$C_2$ (as 2T1)	$[5]$
2.2.2153.1	x^2 - x - 538	\( 2153 \)	$C_2$ (as 2T1)	$[5]$
2.0.2203.1	x^2 - x + 551	\( -\,2203 \)	$C_2$ (as 2T1)	$[5]$
2.0.2347.1	x^2 - x + 587	\( -\,2347 \)	$C_2$ (as 2T1)	$[5]$
2.0.2683.1	x^2 - x + 671	\( -\,2683 \)	$C_2$ (as 2T1)	$[5]$
2.2.2908.1	x^2 - 727	\( 2^{2}\cdot 727 \)	$C_2$ (as 2T1)	$[5]$
2.2.3121.1	x^2 - x - 780	\( 3121 \)	$C_2$ (as 2T1)	$[5]$
2.2.3181.1	x^2 - x - 795	\( 3181 \)	$C_2$ (as 2T1)	$[5]$
2.2.3253.1	x^2 - x - 813	\( 3253 \)	$C_2$ (as 2T1)	$[5]$
2.2.3928.1	x^2 - 982	\( 2^{3}\cdot 491 \)	$C_2$ (as 2T1)	$[5]$
2.2.3997.1	x^2 - x - 999	\( 7\cdot 571 \)	$C_2$ (as 2T1)	$[5]$
2.2.4353.1	x^2 - x - 1088	\( 3\cdot 1451 \)	$C_2$ (as 2T1)	$[5]$
2.2.4357.1	x^2 - x - 1089	\( 4357 \)	$C_2$ (as 2T1)	$[5]$
2.2.4441.1	x^2 - x - 1110	\( 4441 \)	$C_2$ (as 2T1)	$[5]$
2.2.4504.1	x^2 - 1126	\( 2^{3}\cdot 563 \)	$C_2$ (as 2T1)	$[5]$
2.2.4757.1	x^2 - x - 1189	\( 67\cdot 71 \)	$C_2$ (as 2T1)	$[5]$
2.2.4889.1	x^2 - x - 1222	\( 4889 \)	$C_2$ (as 2T1)	$[5]$
2.2.5241.1	x^2 - x - 1310	\( 3\cdot 1747 \)	$C_2$ (as 2T1)	$[5]$
2.2.5269.1	x^2 - x - 1317	\( 11\cdot 479 \)	$C_2$ (as 2T1)	$[5]$

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