[L:Q] = 3, discriminant = 2³3⁵
Minimal polynomial:  x^3 - 9*x - 6
P^3 Primes: 3
P^2 Q Primes: 2
P Primes: 5, 19, 23, 29,
P Q Primes: 7, 11, 13, 17, 31, 37
P Q R Primes:
 
 

k	factor(k)	zL(1-k)	denominator of zL(k)
2	2	-70/3	[3, 1]
4	22	2556221/15	[3, 1; 5, 1]
6	2*3	-4729825529050/63	[3, 2; 7, 1]
8	23	9997094812404686021/30	[2, 1; 3, 1; 5, 1]
10	2*5	-250592144464247084366321530/33	[3, 1; 11, 1]
12	22*3	2538374428615429723833664768222148111/4095	[3, 2; 5, 1; 7, 1; 13, 1]
14	2*7	-433461315504312280903563360244187028747610/3	[3, 1]
16	24	83822500848624173596590790551322515127580563498549957/1020	[2, 2; 3, 1; 5, 1; 17, 1]
18	2*32	-364742122584157895331961380966645483883206501873212554306326430/3591	[3, 3; 7, 1; 19, 1]
20	22*5	205879738370414957568301092103755264632204075545473416927732641514790031/825	[3, 1; 5, 2; 11, 1]
22	2*11	-78355468328264596130915141787914446498935509513825745575185836072639166840155310/69	[3, 1; 23, 1]
24	23*3	74006323190576157208058158096383458610418252656197453601055525620319595601225545836585859111/8190	[2, 1; 3, 2; 5, 1; 7, 1; 13, 1]
26	2*13	-359644318812544143021305426930827897698932292339360028465204728497813042013238510328557064442485950/3	[3, 1]
28	22*7	1108066548754920558210445412572296125884666726428551715691509427511294360035047859522948462012420533767589667087/435	[3, 1; 5, 1; 29, 1]
30	2*3*5	-1799504396502815562306631065958807115143023188206941324372061570299132430010181005899967143838028897010422827881054199083930/21483	[3, 2; 7, 1; 11, 1; 31, 1]
32	25	8442096401439312651786021695269614726020652851158930107911250104134207240013304509177433748696290510443400358163951285517194129118757/2040	[2, 3; 3, 1; 5, 1; 17, 1]
34	2*17
36	22*32