L = Q[x]/(x^2-17)
[L:Q] = 2, discriminant = 17.
Minimal polynomial:  x^2-17
Ramified primes: 17
Inert primes: 3, 5, 7, 11, 17, 23, 29, 31, 37
Split primes: 2, 13, 19
 
 
k factor(k) zL(1-k) denominator of zL(1-k)
2 2 1/3  [3, 1]
22 41/30 [2, 1; 3, 1; 5, 1]
6 2*3 5791/63 [3, 2; 7, 1]
8 23 29950897/1020  [2, 2; 3, 1; 5, 1; 17, 1]
10 2*5 926010751/33 [3, 1; 11, 1]
12 22*3 514888471736531/8190  [2, 1; 3, 2; 5, 1; 7, 1; 13, 1]
14 2*7 850783423272511/3  [3, 1]
16 24 4730479106306885224897/2040 [2, 3; 3, 1; 5, 1; 17, 1]
18 2*32 114234320679904116390875557/3591 [3, 3; 7, 1; 19, 1]
20 22*5 1138395679632849871290948246451/1650  [2, 1; 3, 1; 5, 2; 11, 1]
22 2*11 1557165289072064053256624254503373/69  [3, 1; 23, 1]
24 23*3 298351132018971004567540400687875435236427/278460  [2, 2; 3, 2; 5, 1; 7, 1; 13, 1; 17, 1]
26 2*13 214568990123121934081140751114385756495221/3  [3, 1]
28 22*7 5686139876816447516702858747211275127486402350227/870  [2, 1; 3, 1; 5, 1; 29, 1]
30 2*3*5 17166574403140221832916979783252769628368689264870342751/21483  [3, 2; 7, 1; 11, 1; 31, 1]
32 25 522869296910136361444008056083241178880315792311858750499297/4080  [2, 4; 3, 1; 5, 1; 17, 1]
34 2*17 79498775217502075049340852422591674555579426424731546331341361/3  [3, 1]
36 22*32 120191002248863017646665435501887598001662017728486664822126378145705721693/17272710   [2, 1; 3, 3; 5, 1; 7, 1; 13, 1; 19, 1; 37, 1]