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D.4.12.3 monic

Procedure from library integralbasis.lib (see integralbasis_lib).

Usage:
monic(f); f polynomial in two variables whose leadi.

Return:
a multiple of f monic as polynomial in the second variables, polynomial of degree d in the second variable of the ring with an ordinary multiple point at the origin of order k.

Assume:
f is a bivariate polynomial whose leading coefficients as polynomial in the second variable is a unit.

Example:
 
LIB "integralbasis.lib";
ring R = 0, (x,y), dp;
poly f = -3y3 + 3x2y + y2 + 1;
monic(f);
==> -x2y+y3-1/3y2-1/3