The totally real subfield L of Q(exp(2pi/5))
[L:Q] = 2, discriminant = 5.
Minimal polynomial  x^2 +x -1
Ramified primes:  5
Inert primes: 2, 3, 7, 13, 17, 23
Split primes: 11, 19, 29, 31
 
 

k	factor(k)	zL(1-k)	denominator of zL(k)
2	2	1/30	[2, 1; 3, 1; 5, 1]
4	22	1/60	[2, 2; 3, 1; 5, 1]
6	2*3	67/630	[2, 1; 3, 2; 5, 1; 7, 1]
8	23	361/120	[2, 3; 3, 1; 5, 1]
10	2*5	412751/1650	[2, 1; 3, 1; 5, 2; 11, 1]
12	22*3	795286411/16380	[2, 2; 3, 2; 5, 1; 7, 1; 13, 1]
14	2*7	568591843/30	[2, 1; 3, 1; 5, 1]
16	24	54701427071177/4080	[2, 4; 3, 1; 5, 1; 17, 1]
18	2*32	571363169189645713/35910	[2, 1; 3, 3; 5, 1; 7, 1; 19, 1]
20	22*5	98510726938027364651/3300	[2, 2; 3, 1; 5, 2; 11, 1]
22	2*11	58282448789678207092153/690	[2, 1; 3, 1; 5, 1; 23, 1]
24	23*3	11364600197977872303826339891/32760	[2, 3; 3, 2; 5, 1; 7, 1; 13, 1]
26	2*13	60097244486962154421889002337/30	[2, 1; 3, 1; 5, 1]
28	22*7	27553534229181632149212403498558667/1740	[2, 2; 3, 1; 5, 1; 29, 1]
30	2*3*5	179897691732312705009829008469165679351567/1074150	[2, 1; 3, 2; 5, 2; 7, 1; 11, 1; 31, 1]
32	25	18959952687425212997198188226124948760804457/8160	[2, 5; 3, 1; 5, 1; 17, 1]
34	2*17	1246857198273009466623646468891606914655865453/30	[2, 1; 3, 1; 5, 1]
36	22*32	32613724432434114882079789497713006473885167100345949413/34545420	[2, 2; 3, 3; 5, 1; 7, 1; 13, 1; 19, 1; 37, 1]