1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62
|
1 module generators
3 Hilbert basis elements of recession monoid
1 vertices of polyhedron
3 extreme rays of recession cone
4 support hyperplanes of polyhedron (homogenized)
embedding dimension = 4
affine dimension of the polyhedron = 3 (maximal)
rank of recession monoid = 3
size of triangulation = 1
resulting sum of |det|s = 1
dehomogenization:
0 0 0 1
grading:
1 -1 -1 0
module rank = 1
multiplicity = 1
Hilbert series:
1
denominator with 3 factors:
1:3
shift = 3
degree of Hilbert Series as rational function = 0
The numerator of the Hilbert series is symmetric.
Hilbert polynomial:
2 -3 1
with common denominator = 2
***********************************************************************
1 module generators:
1 -1 -1 1
3 Hilbert basis elements of recession monoid:
0 -1 0 0
0 0 -1 0
1 0 0 0
1 vertices of polyhedron:
1 -1 -1 1
3 extreme rays of recession cone:
0 -1 0 0
0 0 -1 0
1 0 0 0
4 support hyperplanes of polyhedron (homogenized):
0 -1 0 -1
0 0 -1 -1
0 0 0 1
1 0 0 -1
|