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abs(PadicNumber) -- p-adic absolute value

Function: abs
Usage:

abs x
Inputs:
- x, a p-adic number,
Outputs:
- a rational number,

Description

Returns the $p$-adic absolute value $|x|_p = p^{-\nu_p(x)}$.

i1 : abs QQ_7 49

      1
o1 = --
     49

o1 : QQ

i2 : abs QQ_7(1/7)

o2 = 7

i3 : abs QQ_7 0

o3 = 0

See also

pVal -- p-adic valuation of a p-adic number

Ways to use this method:

abs(PadicNumber) -- p-adic absolute value

The source of this document is in Padic.m2:747:0.