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KASH3 Reference Manual
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Function

GaloisImage ( elt-res^pad x, elt-ord^rat i ) -> elt-res^pad

Description

The image of x under the Frobenius automorphism composed with itself i times, that is, a -> a^(p^i) where a is the inertial element of the parent of x.

Examples

x_z5 := pAdicRing(5,30);x_r := UnramifiedExtension(x_z5,3); x_r5 := Quotient(x_r, 5^10); GaloisImage(x_r5.1,4);
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