3x3magiceven.ref

4 extreme rays
4 support hyperplanes

embedding dimension = 9
rank = 3
external index = 4

grading:
1 1 1 0 0 0 0 0 0 
with denominator = 3

degrees of extreme rays:
2: 4  

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4 extreme rays:
 0 4 2 4 2 0 2 0 4
 2 0 4 4 2 0 0 4 2
 2 4 0 0 2 4 4 0 2
 4 0 2 0 2 4 2 4 0

4 support hyperplanes:
 0 -1 0 0 0 0  2 0 0
 0  1 0 0 0 0  0 0 0
 2  1 0 0 0 0 -2 0 0
 2  3 0 0 0 0 -4 0 0

6 equations:
 1 0 0 0 0  1 -2 -1  1
 0 1 0 0 0  1 -2  0  0
 0 0 1 0 0  1 -1 -1  0
 0 0 0 1 0 -1  2  0 -2
 0 0 0 0 1 -1  1  0 -1
 0 0 0 0 0  3 -4 -1  2

2 congruences:
 1 0 0 0 0 0 0 0 0 2
 0 1 0 0 1 0 0 0 0 2

3 basis elements of lattice:
 2 0 -2 -4 0  4  2 0 -2
 0 1  2  3 1 -1  0 1  2
 0 0  6  8 2 -4 -2 4  4