The totally real subfield L of Q(exp(2*Pi*I/12))
[L:Q] = 2, discriminant = 12.
Minimal polynomial:  x^2-3
Ramified primes:  2, 3
Inert primes: 5, 7, 17, 19, 29, 31
Split primes: 11, 13, 23, 37
 
 

k	factor(k)	zL(1-k)	denominator of zL(k)
2	2	1/6	[2, 1; 3, 1]
4	22	23/60	[2, 2; 3, 1; 5, 1]
6	2*3	1681/126	[2, 1; 3, 2; 7, 1]
8	23	257543/120	[2, 3; 3, 1; 5, 1]
10	2*5	67637281/66	[2, 1; 3, 1; 11, 1]
12	22*3	18752521534133/16380	[2, 2; 3, 2; 5, 1; 7, 1; 13, 1]
14	2*7	15442193173681/6	[2, 1; 3, 1]
16	24	42783818174313146311/4080	[2, 4; 3, 1; 5, 1; 17, 1]
18	2*32	514802473837215246476827/7182	[2, 1; 3, 3; 7, 1; 19, 1]
20	22*5	2556248976935265966594188533/3300	[2, 2; 3, 1; 5, 2; 11, 1]
22	2*11	1742246443991808605483768362723/138	[2, 1; 3, 1; 23, 1]
24	23*3	9784043347352101537435984662493577693/32760	[2, 3; 3, 2; 5, 1; 7, 1; 13, 1]
26	2*13	59603426243912408678663547473670548011/6	[2, 1; 3, 1]
28	22*7	787021254910761302606269484108127241457524021/1740	[2, 2; 3, 1; 5, 1; 29, 1]
30	2*3*5	1183905977142282240924625045967870444850942156438481/42966	[2, 1; 3, 2; 7, 1; 11, 1; 31, 1]
32	25	17967653479516058193170206595247961216400601193448372071/8160	[2, 5; 3, 1; 5, 1; 17, 1]
34	2*17	1361204292314783105732805341719017219109085563241077649231/6	[2, 1; 3, 1]
36	22*32	1025414556106448459132233693924027659685077471949823090581301163897659/34545420	[2, 2; 3, 3; 5, 1; 7, 1; 13, 1; 19, 1; 37, 1]