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 2 None slelievre 16964 ●21 ●151 ●335 http://carva.org/samue...

### PARI Group Labelling

I have a Galois group that I'm tying to determine:

f=x^5

f = x^5 - 792x^4 792*x^4 + 71280x^3 71280*x^3 + 39517632x^2 39517632*x^2 - 7519640832x 7519640832*x + 314605513728; d=3; A=-9504*d^2; B=365904*d^3; K.=NumberField(f); R.<y>=K[]; g= 314605513728
d = 3
A = -9504*d^2
B = 365904*d^3
K.<a> = NumberField(f)
R.<y> = K[]
g = y^2 - a^3-A*a-B; a^3 - A*a - B
L.<z> = NumberField(y^2 - a^3-A*a-B); G=L.galois_group();a^3-A*a-B)
G = L.galois_group()


I have a couple of issues: When I type G[1], G[1], it says

GaloisGroup_v1 is not subscriptablesubscriptable


The second is the output for G G says [10,-1,1,'C(10)=5[x]2'].

[10,-1,1,'C(10)=5[x]2']


I know this is the PARI label and the last entry is the GAP 4 label. But for the life of me I cannot find anywhere where it explicitly tells me what C(10)=5[x]2 means C(10)=5[x]2 means.