The totally real subfield L of Q(exp(2pi/9))
[L:Q] = 3
Minimal polynomial  x^3 - 3*x + 1
Ramified primes:  3
Inert primes:
Split primes:
 
 

k	factor(k)	zL(1-k)	denominator of zL(k)
2		-1/9	[3, 2]
4	22	199/90	[2, 1; 3, 2; 5, 1]
6	2*3	-50353/27	[3, 3]
8	23	2648750959/180	[2, 2; 3, 2; 5, 1]
10	2*5	-57973999723111/99	[3, 2; 11, 1]
12	22*3	291720890751434104747/3510	[2, 1; 3, 3; 5, 1; 13, 1]
14	2*7	-302807634262249042876951/9	[3, 2]
16	24	203340723290875963356476808592943/6120	[2, 3; 3, 2; 5, 1; 17, 1]
18	2*32	-109725885024970496508485353263175846171/1539	[3, 4; 19, 1]
20	22*5	1505375405471479277033590026464694005548856429/4950	[2, 1; 3, 2; 5, 2; 11, 1]
22	2*11	-497334585142124563981977742725220753042250099846773/207	[3, 2; 23, 1]
24	23*3	233001011478375646922914852684472233719019739985105394945987/7020	[2, 2; 3, 3; 5, 1; 13, 1]
26	2*13	-6880306453075003853011546950459213981969421264506666076002518701/9	[3, 2]
28	22*7	73605106310824909669795040156964037021274661432100401011898012297587126573/2610	[2, 1; 3, 2; 5, 1; 29, 1]
30	2*3*5	-14823286255915094308037893888123137308859995503700960041475387278252283804406813073/9207	[3, 3; 11, 1; 31, 1]
32	25	1690236373468982177735401213606887434271003697089940477647269894291973419552058160312937423/12240	[2, 4; 3, 2; 5, 1; 17, 1]
34	2*17	-156059825587317105003363304069294155533519186925702977386601799959520154353405206177762617724201/9	[3, 2]
36	22*32	23065560670265700639067447283880696130646623752789813419820819835254540406174745738881723784737711767806737381/7402590	[2, 1; 3, 4; 5, 1; 13, 1; 19, 1; 37, 1]