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D.6.15.7 displayInvariants

Procedure from library hnoether.lib (see hnoether_lib).

Usage:
displayInvariants(INPUT); INPUT list or poly

Assume:
INPUT is a bivariate polynomial, or the output of develop(f), resp. of extdevelop(develop(f),n), or (one entry of) the list of HN data computed by hnexpansion(f[,"ess"]).

Return:
none

Display:
invariants of the corresponding branch, resp. of all branches, in a better readable form.

Note:
If the Hamburger-Noether expansion of the curve f is needed for other purposes as well it is better to calculate this first with the aid of hnexpansion and use it as input instead of the polynomial itself.

Example:
 
LIB "hnoether.lib";
ring exring=0,(x,y),dp;
list Hne=develop(y4+2x3y2+x6+x5y);
displayInvariants(Hne);
==>  characteristic exponents  : 4,6,7
==>  generators of semigroup   : 4,6,13
==>  Puiseux pairs             : (3,2)(7,2)
==>  degree of the conductor   : 16
==>  delta invariant           : 8
==>  sequence of multiplicities: 4,2,2,1,1
See also: develop; hnexpansion; intersection; invariants.