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

k	factor(k)	zL(1-k)	denominator of zL(1-k)
2	2	1/2	[2, 1]
4	22	157/20	[2, 2; 5, 1]
6	2*3	23537/14	[2, 1; 7, 1]
8	23	63987797/40	[2, 3; 5, 1]
10	2*5	8949528841/2	[2, 1]
12	22*3	53174446765203189/1820	[2, 2; 5, 1; 7, 1; 13, 1]
14	2*7	22252831377375190439/58	[2, 1; 29, 1]
16	24	12416846206191477000121109/1360	[2, 4; 5, 1; 17, 1]
18	2*32	290863760930388381994829535259/798	[2, 1; 3, 1; 7, 1; 19, 1]
20	22*5	2300464090518383947383826818643517/100	[2, 2; 5, 2]
22	2*11	100727578431619526478496202457697853993/46	[2, 1; 23, 1]
24	23*3	1101208363970191358787380920063859644073436829/3640	[2, 3; 5, 1; 7, 1; 13, 1]
26	2*13	117537686023780342476773135374150296667814279041/2	[2, 1]
28	22*7	9064124893476564976878775908967259889632319629943934559/580	[2, 2; 5, 1; 29, 1]
30	2*3*5	2413104879248463465849126200146051798954986110646114972249747/434	[2, 1; 7, 1; 31, 1]
32	25	7058262269962997044431002162780496658702197178741230844188729661429/2720	[2, 5; 5, 1; 17, 1]
34	2*17	3122937136716884564413847046368240042882993613722423698681579915266541/2	[2, 1]
36	22*32	4579854273344992644609038554861038440969212515122283211691026843651680358864486907/3838380	[2, 2; 3, 1; 5, 1; 7, 1; 13, 1; 19, 1; 37, 1]