Description
This function returns a hashtable containing the invariants printed to the file with suffix
inv, if the files are kept, i.e., if a filename is specified (see
Keeping results of the computation by Normaliz). The key of an entry is a
String describing the invariant, the value is the invariant, namely an
ZZ for rank, index, multiplicity, a
Sequence for the grading, the Hilbert series and the Hilbert quasi-polynomial and a
Boolean for graded and primary (in the case of a rees algebra).
i1 : R=ZZ/37[x,y,t];
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i2 : I=ideal(x^3,x^2*y,y^3);
o2 : Ideal of R
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i3 : nmzFilename="example";
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i4 : setNmzOption("hilb",true);
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i5 : intclMonIdeal I;
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i6 : invs=getNumInvs()
o6 = HashTable{ => (1, 1, 1, 1) }
degree 1 elements => 7
dim max subspace => 0
embedding dim => 4
external index => 1
graded => true
grading denom => 1
grading => (1, 1, 1, -2)
hilbert basis elements => 7
hilbert quasipolynomial denom => 6
hilbert series denom => (1, 1, 1, 1)
hilbert series num => (1, 3)
inhomogeneous => false
integrally closed => false
internal index => 1
multiplicity denom => 1
multiplicity => 4
number extreme rays => 5
number support hyperplanes => 5
primary => false
rank => 4
size triangulation => 3
sum dets => 4
o6 : HashTable
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i7 : hvector=invs#"hilbert series num"
o7 = (1, 3)
o7 : Sequence
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i8 : invs#"hilbert series denom"
o8 = (1, 1, 1, 1)
o8 : Sequence
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i9 : rmNmzFiles();
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