L = Q[x]/(x^2-21)
[L:Q] = 2, discriminant = 21.
Minimal polynomial:  x^2-21
Ramified primes:  3, 7
Inert primes: 2, 11, 13, 19, 23, 29, 31
Split primes: 5, 17, 37
 
 

k	factor(k)	zL(1-k)	denominator of zL(1-k)
2	2	1/3	[3, 1]
4	22	77/30	[2, 1; 3, 1; 5, 1]
6	2*3	17971/63	[3, 2; 7, 1]
8	23	8529317/60	[2, 2; 3, 1; 5, 1]
10	2*5	6880084771/33	[3, 1; 11, 1]
12	22*3	5846032490154287/8190	[2, 1; 3, 2; 5, 1; 7, 1; 13, 1]
14	2*7	14745725203342771/3	[3, 1]
16	24	125121710284290710090149/2040	[2, 3; 3, 1; 5, 1; 17, 1]
18	2*32	4610784503383205352814427857/3591	[3, 3; 7, 1; 19, 1]
20	22*5	70115605861717430419952533689007/1650	[2, 1; 3, 1; 5, 2; 11, 1]
22	2*11	146351620074764895131354655029032393/69	[3, 1; 23, 1]
24	23*3	2516995799150646956921735521465227682859207/16380	[2, 2; 3, 2; 5, 1; 7, 1; 13, 1]
26	2*13	46958202553101671949745551053973392661384001/3	[3, 1]
28	22*7	1898903097880229637752971691810662177381309130557999/870	[2, 1; 3, 1; 5, 1; 29, 1]
30	2*3*5	8748017705410806049483908729513978270817352992906979405971/21483	[3, 2; 7, 1; 11, 1; 31, 1]
32	25	406593003450625001304111375054300637821213252779485306067512069/4080	[2, 4; 3, 1; 5, 1; 17, 1]
34	2*17	94333933790513857496373692004699532219053678069457887430121091821/3	[3, 1]
36	22*32	217630725982073324501751651287941189526791122454046749705413646980214113904481/17272710	[2, 1; 3, 3; 5, 1; 7, 1; 13, 1; 19, 1; 37, 1]