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KASH3 Reference Manual
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Function

Galois ( ord^num O ) -> string, elt-ord^rat, elt-ord^rat, seq(), any

Optional Arguments

Resultselt-ord^rat1 <= Results <= 5
Alstring"Real" or "pAdic"
Primeany
Precisionelt-ord^rat
Conditionalelt-alg^boo

Description

The Galois group of the splitting field of the generating polynomial f of O (of degree <= 23), two integers giving the identification of the Galois group as a transitive group, the roots of f and the ideal giving the embedding of the coefficients into the splitting field..

Examples

x_O:=MaximalOrder(X^2+5); Galois(x_O);
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