The totally real subfield L of Q(exp(2*Pi*I/13))
[L:Q] = 6, discriminant = 135
Minimal polynomial:  x^6+x^5-5*x^4-4*x^3+6*x^2+3*x-1
Ramified primes: 13
P1 Primes: 2, 7, 11, 19, 37
P1P2 Primes: 3, 17, 23, 29
P1P2P3 Primes: 5, 31
Split Primes:
 
k factor(k) zL(1-k) denominator of zL(k)
2 2
22
6 2*3
8 23
10 2*5
12 22*3
14 2*7
16 24
18 2*32
20 22*5
22 2*11
24 23*3
26 2*13
28 22*7
30 2*3*5
32 25
34 2*17
36 22*32