L = Q[x]/(x^2-44)
[L:Q] = 2, discriminant = 44.
Minimal polynomial  x^2-44
Ramified primes:  2, 11
Inert primes: 3, 11, 13, 17, 23, 29, 31
Split primes: 5, 7, 19, 37
 
 
k factor(k) zL(1-k) denominator of zL(1-k)
2 2 7/6  [2, 1; 3, 1]
22 2153/60  [2, 2; 3, 1; 5, 1]
6 2*3 2130727/126  [2, 1; 3, 2; 7, 1]
8 23 4393611593/120  [2, 3; 3, 1; 5, 1]
10 2*5 15515203176007/66  [2, 1; 3, 1; 11, 1]
12 22*3 57833610972825439403/16380  [2, 2; 3, 2; 5, 1; 7, 1; 13, 1]
14 2*7 640284813520180963687/6  [2, 1; 3, 1]
16 24 23849907642936468917264806441/4080  [2, 4; 3, 1; 5, 1; 17, 1]
18 2*32 3858252593190828124973590079348989/7182  [2, 1; 3, 3; 7, 1; 19, 1]
20 22*5 257570454888069177671400223300084538443/3300  [2, 2; 3, 1; 5, 2; 11, 1]
22 2*11 2360181170214245276197461642177962807357701/138  [2, 1; 3, 1; 23, 1]
24 23*3 178195602951418769387248613782238554963197881783123/32760  [2, 3; 3, 2; 5, 1; 7, 1; 13, 1]
26 2*13 14594616971473493215520156507649856776365301930628237/6  [2, 1; 3, 1]
28 22*7 2590900879751548185461971322384417102931821687710198139310571/1740  [2, 2; 3, 1; 5, 1; 29, 1]
30 2*3*5 52399170394895627715682952998769642135319661333469727999989000524807/42966  [2, 1; 3, 2; 7, 1; 11, 1; 31, 1]
32 25 10691568483016382137593722574105500990769954492520571787854701471842530761/8160  [2, 5; 3, 1; 5, 1; 17, 1]
34 2*17 10889707874192178568357333572044524510856826605968841320249856684620427584937/6  [2, 1; 3, 1]
36 22*32 110289777018090342826754595437522916167936202996315571094040801777700666145501213104319429/34545420 [2, 2; 3, 3; 5, 1; 7, 1; 13, 1; 19, 1; 37, 1]