L = Q[x]/(x^2-28)
[L:Q] = 2, discriminant = 28.
Minimal polynomial:  x^2-28
Ramified primes: 2, 7
Inert primes: 5, 11, 13, 17, 23
Split primes: 3, 19, 29, 31, 37
 
 

k	factor(k)	zL(1-k)	denominator of zL(1-k)
2	2	2/3	[3, 1]
4	22	113/15	[3, 1; 5, 1]
6	2*3	88922/63	[3, 2; 7, 1]
8	23	37040933/30	[2, 1; 3, 1; 5, 1]
10	2*5	105911461682/33	[3, 1; 11, 1]
12	22*3	79934365069116923/4095	[3, 2; 5, 1; 7, 1; 13, 1]
14	2*7	716746659547868042/3	[3, 1]
16	24	5405796972572907220684141/1020	[2, 2; 3, 1; 5, 1; 17, 1]
18	2*32	708279012827664384120281835734/3591	[3, 3; 7, 1; 19, 1]
20	22*5	9573934977162438600250268080336723/825	[3, 1; 5, 2; 11, 1]
22	2*11	71052681874089832775706165545667272846/69	[3, 1; 23, 1]
24	23*3	1086207585206051133826593793036434968608347383/8190	[2, 1; 3, 2; 5, 1; 7, 1; 13, 1]
26	2*13	72052533297687250070851590149268259458553914182/3	[3, 1]
28	22*7	2589930235278901379476484409573188441973232999360487851/435	[3, 1; 5, 1; 29, 1]
30	2*3*5	42423098338052835761554482182300426383623392308824498015155882/21483	[3, 2; 7, 1; 11, 1; 31, 1]
32	25	1752669821286918828603663357134083205160911340722781263609653854301/2040	[2, 3; 3, 1; 5, 1; 17, 1]
34	2*17	1445824639345407102078655514302126651407845294397400121460513555550942/3	[3, 1]
36	22*32	2964936282994889931750450930203654508121610692827075374407375982527125449734964429/8636355	[3, 3; 5, 1; 7, 1; 13, 1; 19, 1; 37, 1]