16 Hilbert basis elements
26 lattice points in polytope (Hilbert basis elements of degree 1)
34 generators of integral closure of the ideal
44 extreme rays
54 support hyperplanes
6
7embedding dimension = 3
8rank = 3 (maximal)
9external index = 1
10internal index = 1
11original monoid is integrally closed in chosen lattice
12
13size of triangulation   = 4
14resulting sum of |det|s = 4
15
16grading:
171 1 -2
18
19degrees of extreme rays:
201:4
21
22Hilbert basis elements are of degree 1
23
24multiplicity = 4
25
26Hilbert series:
271 3
28denominator with 3 factors:
291:3
30
31degree of Hilbert Series as rational function = -2
32
33Hilbert polynomial:
341 3 2
35with common denominator = 1
36
37ideal is primary to the ideal generated by the indeterminates
38multiplicity of the ideal = 9
39
40***********************************************************************
41
426 lattice points in polytope (Hilbert basis elements of degree 1):
43 0 1 0
44 0 3 1
45 1 0 0
46 1 2 1
47 2 1 1
48 3 0 1
49
500 further Hilbert basis elements of higher degree:
51
524 generators of integral closure of the ideal:
53 0 3
54 1 2
55 2 1
56 3 0
57
584 extreme rays:
59 0 1 0
60 0 3 1
61 1 0 0
62 3 0 1
63
644 support hyperplanes:
65 0 0  1
66 0 1  0
67 1 0  0
68 1 1 -3
69
70