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]
4	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]