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D.6.7.6 spectrum

Procedure from library gmssing.lib (see gmssing_lib).

Usage:
spectrum(t); poly t

Assume:
characteristic 0; local degree ordering;
isolated critical point 0 of t

Return:
 
list sp;  singularity spectrum of t
  ideal sp[1];
    number sp[1][i];  i-th spectral number
  intvec sp[2];
    int sp[2][i];  multiplicity of i-th spectral number

Example:
 
LIB "gmssing.lib";
ring R=0,(x,y),ds;
poly t=x5+x2y2+y5;
spprint(spectrum(t));
==> (-1/2,1),(-3/10,2),(-1/10,2),(0,1),(1/10,2),(3/10,2),(1/2,1)
See also: spectrum_lib.