L = Q[x]/(x^2-41)
[L:Q] = 2, discriminant = 41.
Minimal polynomial:  x^2-41
Ramified primes:  41
Inert primes: 3, 7, 11, 13, 17, 19, 29
Split primes: 2, 5, 23, 31, 37
 
 
k factor(k) zL(1-k) denominator of zL(1-k)
2 2 4/3  [3, 1]
22 448/15  [3, 1; 5, 1]
6 2*3 733924/63  [3, 2; 7, 1]
8 23 324649814/15  [3, 1; 5, 1]
10 2*5 3970068530764/33  [3, 1; 11, 1]
12 22*3 6419998586927832328/4095  [3, 2; 5, 1; 7, 1; 13, 1]
14 2*7 123407242075130286004/3  [3, 1]
16 24 498892114387951583457289649/255  [3, 1; 5, 1; 17, 1]
18 2*32 560606297292308330570657275519348/3591  [3, 3; 7, 1; 19, 1]
20 22*5 666159673951002284358170884495203519568/33825  [3, 1; 5, 2; 11, 1; 41, 1]
22 2*11 258544809927042393527437248353417044884172/69  [3, 1; 23, 1]
24 23*3 4237305315191737531693797080486099851545364991834/4095  [3, 2; 5, 1; 7, 1; 13, 1]
26 2*13 1205335113210720999099053080674507703268775833425444/3  [3, 1]
28 22*7 3203319572341859771873441135349548114989623635687280592504/15  [3, 1; 5, 1]
30 2*3*5 3262603011651575071608873923836328530577245128911004709237729463764/21483  [3, 2; 7, 1; 11, 1; 31, 1]
32 25 72252622819452126528953616703345956974563213860732415492125070382882909/510  [2, 1; 3, 1; 5, 1; 17, 1]
34 2*17 511188142951485403129238972414935140271972584689043096443896209790071318404/3 [3, 1]
36 22*32 2247668015835430789938983115747200624215868535674792286250128960057137277428710307960224/8636355 [3, 3; 5, 1; 7, 1; 13, 1; 19, 1; 37, 1]