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D.15.3.3 CompleteHomog

Procedure from library chern.lib (see chern_lib).

Usage:
CompleteHomog(N, c); N integer, c list of polynomials

Return:
list of polynomials

Purpose:
computes the list of the complete homogeneous symmetric polynomials in terms of the elementary symmetric polynomials (entries of c)

Note:

Example:
 
LIB "chern.lib";
ring r = 0, (x(1..3)), dp;
list l=x(1..3);
//Complete homogeneous symmetric polynomials up to degree 3 in variables x(1), x(2), x(3)
print( CompleteHomog(3, l) );
==> [1]:
==>    1
==> [2]:
==>    x(1)
==> [3]:
==>    x(1)^2-x(2)
==> [4]:
==>    x(1)^3-2*x(1)*x(2)+x(3)