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AlffEltGenY

Returns the indeterminate y as finite maximal order element.

Syntax:

Y := AlffEltGenY(F);

algebraic function field
  F  
alff element
  Y  

See also:  AlffEltGenT, Alff, AlffOrderMaxFinite

Description:

Returns the image of the indeterminate y with respect to the generating equation of the algebraic function field in it's finite maximal order.


Example:


kash> AlffInit(FF(7,2));
"Defining global variables: k, w, kT, kTf, kTy, T, y, AlffGlobals"
kash> F := Alff((T^2+1)*y^3+y+T^4+1);
Algebraic function field defined by
.1^3*.2^2 + .1^3 + .1 + .2^4 + 1
over
Univariate rational function field over GF(7^2)
Variables: T

kash> T := AlffEltGenT(F);
[ T, 0, 0 ]
kash> Y := AlffEltGenY(F);
[ 0, 1, 0 ] / (T^2 + 1)
kash> (T^2+1)*Y^3+Y+T^4+1;
> [ 0, 0, 0 ]


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