i2 : eq=matrix {{1, 1, 1, -1, -1, -1, 0, 0, 0}, {1, 1, 1, 0, 0, 0, -1, -1, -1}, {0, 1, 1, -1, 0, 0, -1, 0, 0}, {1, 0, 1, 0, -1, 0, 0, -1, 0}, {1, 1, 0, 0, 0, -1, 0, 0, -1}, {0, 1, 1, 0, -1, 0, 0, 0, -1}, {1, 1, 0, 0, -1, 0, -1, 0, 0}};
7 9
o2 : Matrix ZZ <--- ZZ
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i3 : rc=normaliz(eq,"equations")
o3 = RationalCone{gen => | 0 2 1 2 1 0 1 0 2 | }
| 1 0 2 2 1 0 0 2 1 |
| 1 1 1 1 1 1 1 1 1 |
| 1 2 0 0 1 2 2 0 1 |
| 2 0 1 0 1 2 1 2 0 |
inv => HashTable{ => (1, 1, 1) }
class group => (1, 2, 2)
degree 1 elements => 5
dim max subspace => 0
embedding dim => 9
external index => 1
graded => true
grading denom => 3
grading => (1, 1, 1, 0, 0, 0, 0, 0, 0)
hilbert basis elements => 5
hilbert quasipolynomial denom => 1
hilbert series denom => (1, 1, 1)
hilbert series num => (1, 2, 1)
inhomogeneous => false
multiplicity denom => 1
multiplicity => 4
number extreme rays => 4
number support hyperplanes => 4
rank => 3
size triangulation => 2
sum dets => 4
o3 : RationalCone
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