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D.6.15.13 qhspectrum
Procedure from library sing.lib (see sing_lib).
- Usage:
- qhspectrum(f,w); f=poly, w=intvec
- Assume:
- f is a weighted homogeneous isolated singularity w.r.t. the weights
given by w; w must consist of as many positive integers as there
are variables of the basering
- Compute:
- the spectral numbers of the w-homogeneous polynomial f, computed in a
ring of characteristic 0
- Return:
- intvec d,s1,...,su where:
d = w-degree(f) and si/d = i-th spectral-number(f)
No return value if basering has parameters or if f is no isolated
singularity, displays a warning in this case.
Example:
| | LIB "sing.lib";
ring r;
poly f=x3+y5+z2;
intvec w=10,6,15;
qhspectrum(f,w);
==> 30,1,7,11,13,17,19,23,29
// the spectrum numbers are:
// 1/30,7/30,11/30,13/30,17/30,19/30,23/30,29/30
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