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AlffDimExactConstField

Returns the k-dimension of the exact constant field \widetilde k of an algebraic function field F/k(T).

Syntax:

l := AlffDimExactConstField(F);

integer
  l  
algebraic function field
  F  

See also:  AlffConstField

Description:

The function returns [\widetilde k:k], where \widetilde k is the algebraic closure of k in F.


Example:


kash> AlffInit(FF(5,1));
"Defining global variables: k, w, kT, kTf, kTy, T, y, AlffGlobals"
kash> AlffOrders(y^6 + (2*T^4 + 1)*y^3 + T^8 + T^4 + 2);
"Defining global variables: F, o, oi, one"
kash> AlffDimExactConstField(F);
> 2


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