knapsack_11_60_test2.ref

12 Hilbert basis elements
6 Hilbert basis elements of degree 1
7 extreme rays
6 module generators over original monoid
8 support hyperplanes

embedding dimension = 5
rank = 5 (maximal)
external index = 1
internal index = 2
original monoid is not integrally closed

size of triangulation   = 4
resulting sum of |det|s = 14

grading:
0 0 0 0 1 

degrees of extreme rays:
1: 5  2: 1  3: 1  

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6 Hilbert basis elements of degree 1:
 0 1 1 0 1
 0 2 0 0 1
 2 0 1 0 1
 2 1 0 0 1
 3 1 0 0 1
 4 0 0 0 1

6 further Hilbert basis elements of higher degree:
 0 1 0 1 2
 0 4 1 0 2
 1 3 1 0 2
 2 0 0 1 2
 0 0 0 2 3
 1 2 1 1 3

7 extreme rays:
 0 1 1 0 1
 0 2 0 0 1
 2 0 1 0 1
 3 1 0 0 1
 4 0 0 0 1
 0 4 1 0 2
 0 0 0 2 3

6 module generators over original monoid:
 0 0 0 0 0
 2 1 0 0 1
 0 1 0 1 2
 1 3 1 0 2
 2 0 0 1 2
 1 2 1 1 3

8 support hyperplanes:
 -3 -5 -8 -21 14
 -1 -3  0  -9  6
 -1 -2 -4  -9  6
 -1 -1 -2  -6  4
  0  0  0   1  0
  0  0  1   0  0
  1  0  0   0  0
  1  2  2   6 -4