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

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
