L = Q[x]/(x^2-37)
[L:Q] = 2, discriminant = 37.
Minimal polynomial:  x^2-37
Ramified primes: 37
Inert primes: 2, 5, 13, 17, 19, 23, 29, 31
Split primes: 3, 7, 11
 
 
k factor(k) zL(1-k) denominator of zL(1-k)
2 2 5/6  [2, 1; 3, 1]
22 1129/60  [2, 2; 3, 1; 5, 1]
6 2*3 115865/18  [2, 1; 3, 2]
8 23 1193648689/120  [2, 3; 3, 1; 5, 1]
10 2*5 2988574807055/66  [2, 1; 3, 1; 11, 1]
12 22*3 1126138824426408037/2340  [2, 2; 3, 2; 5, 1; 13, 1]
14 2*7 61724704374047728655/6  [2, 1; 3, 1]
16 24 1625886902325466618525254353/4080  [2, 4; 3, 1; 5, 1; 17, 1]
18 2*32 983107522010748251749534394373935/37962  [2, 1; 3, 3; 19, 1; 37, 1]
20 22*5 8780152495032015611104972776926106659/3300  [2, 2; 3, 1; 5, 2; 11, 1]
22 2*11 56891811270123946109776919715889222866365/138  [2, 1; 3, 1; 23, 1]
24 23*3 433911874930178370627361990523141469876914594077/4680  [2, 3; 3, 2; 5, 1; 13, 1]
26 2*13 175911166485334350140633936023221162252822595543205/6  [2, 1; 3, 1]
28 22*7 22082569468039048855099345948162953549100473737499786154883/1740  [2, 2; 3, 1; 5, 1; 29, 1]
30 2*3*5 45115240238382314357179807313418320850080812921254585950553043865/6138  [2, 1; 3, 2; 11, 1; 31, 1]
32 25 45565529434948529023674033156713910264466057785696102264822266218754033/8160  [2, 5; 3, 1; 5, 1; 17, 1]
34 2*17 32817789385672302405698899493694670283958202718161570082249370089698415905/6  [2, 1; 3, 1]
36 22*32 33575957599937117078539644693724914606758605879233451973775731915824573141246719647851/4935060 [2, 2; 3, 3; 5, 1; 13, 1; 19, 1; 37, 1]