i3 : mat=matrix({{1,2,3},{4,5,6},{7,8,10}});
3 3
o3 : Matrix ZZ <-- ZZ
|
i4 : normaliz(mat,"integral_closure")
o4 = RationalCone{"gen" => | 1 2 3 | }
| 2 3 4 |
| 3 4 5 |
| 4 5 6 |
| 7 8 10 |
"inv" => HashTable{"" => (1, 1, 1) }
"class group" => (0, 3)
"degree 1 elements" => 5
"dim max subspace" => 0
"embedding dim" => 3
"external index" => 1
"graded" => true
"grading denom" => 1
"grading" => (-1, 1, 0)
"hilbert basis elements" => 5
"hilbert quasipolynomial denom" => 2
"hilbert series denom" => (1, 1, 1)
"hilbert series num" => (1, 2)
"inhomogeneous" => false
"integrally closed" => false
"internal index" => 3
"multiplicity denom" => 1
"multiplicity" => 3
"number extreme rays" => 3
"number support hyperplanes" => 3
"rank" => 3
"size triangulation" => 1
"sum dets" => 3
o4 : RationalCone
|