D.5.4.7 sppairs

Procedure from library gaussman.lib (see gaussman_lib).

Usage:

sppairs(t); poly t

Assume:

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

Return:

list spp; spectral pairs of t ideal spp[1]; number spp[1][i]; V-filtration index of i-th spectral pair intvec spp[2]; int spp[2][i]; weight filtration index of i-th spectral pair intvec spp[3]; int spp[3][i]; multiplicity of i-th spectral pair

Example:

LIB "gaussman.lib";
ring R=0,(x,y),ds;
poly t=x5+x2y2+y5;
sppprint(sppairs(t));
→ ((-1/2,2),1),((-3/10,1),2),((-1/10,1),2),((0,1),1),((1/10,1),2),((3/10,1)\
   ,2),((1/2,0),1)

See also: spectrum_lib.