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Dear Forum,

There is no function in the Pari system to calculate the Ramifications

groups. Given an irreducible polynomial F with integer coefficients and

a given rational prime p, there are functions in Pari to calculate the

ramification index and inertia degree of all primes in the field

defined by a root of F lying above p. From this you can generally

deduce the ramification in the splitting field. But if the

ramification is wild I don't know of any way to find the higher

ramifications groups using Pari.

Thanks,

Luiz.

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