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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
Project: cocalc-sagemath-dev-slelievre
Path: gap4r8 / pkg / NormalizInterface-1.0.2 / Normaliz.git / test / test-nn / 2equation_large_simplex.ref
Views: 4183841701 Hilbert basis elements
9 extreme rays
10 support hyperplanes
embedding dimension = 9
rank = 7
external index = 1
internal index = 1584
original monoid is not integrally closed
size of triangulation = 4
resulting sum of |det|s = 2516976
No implicit grading found
***********************************************************************
1701 Hilbert basis elements:
0 0 0 31 22 0 0 1 0
0 0 1 26 19 0 0 0 0
0 4 0 12 7 0 3 1 1
0 5 0 24 15 0 2 3 1
0 5 0 26 17 0 4 2 3
0 5 0 28 19 0 6 1 5
0 5 0 28 19 1 6 1 1
0 6 0 5 1 0 1 4 1
0 6 0 7 3 0 3 3 3
0 6 0 9 5 0 5 2 5
0 6 0 9 5 1 5 2 1
0 6 0 11 7 0 7 1 7
0 6 0 11 7 1 7 1 3
0 7 0 10 4 0 5 1 0
0 7 0 27 19 0 10 1 11
0 7 0 27 19 1 10 1 7
0 7 0 27 19 2 10 1 3
0 8 0 22 12 0 4 3 0
0 8 0 26 16 0 8 1 4
0 8 0 26 16 1 8 1 0
0 9 0 5 0 0 5 3 2
0 9 0 7 2 0 7 2 4
0 9 0 7 2 1 7 2 0
0 9 0 9 4 0 9 1 6
0 9 0 9 4 1 9 1 2
0 9 0 34 20 0 3 5 0
0 10 0 15 6 0 2 6 0
0 10 0 19 10 1 6 4 0
0 10 0 23 14 2 10 2 0
0 10 0 25 16 0 12 1 10
0 10 0 25 16 1 12 1 6
0 10 0 25 16 2 12 1 2
0 11 0 4 0 0 9 3 8
0 11 0 4 0 1 9 3 4
0 11 0 4 0 2 9 3 0
0 11 0 6 2 0 11 2 10
0 11 0 6 2 1 11 2 6
0 11 0 6 2 2 11 2 2
0 11 0 8 4 0 13 1 12
0 11 0 8 4 1 13 1 8
0 11 0 8 4 2 13 1 4
0 11 0 8 4 3 13 1 0
0 11 0 24 13 0 10 1 3
0 11 0 27 14 0 1 8 0
0 11 0 31 18 1 5 6 0
0 12 0 7 1 0 11 1 5
0 12 0 7 1 1 11 1 1
0 12 0 8 0 0 0 9 0
0 12 0 12 4 1 4 7 0
0 12 0 16 8 2 8 5 0
0 12 0 20 12 3 12 3 0
0 12 0 22 14 3 14 2 2
0 12 0 24 16 0 16 1 16
0 12 0 24 16 1 16 1 12
0 12 0 24 16 2 16 1 8
0 12 0 24 16 3 16 1 4
0 12 0 24 16 4 16 1 0
0 13 0 3 0 0 13 3 14
0 13 0 3 0 1 13 3 10
0 13 0 3 0 2 13 3 6
0 13 0 3 0 3 13 3 2
0 13 0 5 2 0 15 2 16
0 13 0 5 2 1 15 2 12
0 13 0 5 2 2 15 2 8
0 13 0 5 2 3 15 2 4
0 13 0 5 2 4 15 2 0
0 13 0 7 4 0 17 1 18
0 13 0 7 4 1 17 1 14
0 13 0 7 4 2 17 1 10
0 13 0 7 4 3 17 1 6
0 13 0 7 4 4 17 1 2
0 13 0 8 0 0 11 0 0
0 13 0 23 13 0 14 1 9
0 13 0 23 13 1 14 1 5
0 13 0 23 13 2 14 1 1
0 13 0 30 18 0 9 6 10
0 13 0 30 18 1 9 6 6
0 13 0 30 18 2 9 6 2
0 13 0 32 20 3 11 5 0
0 14 0 6 1 0 15 1 11
0 14 0 6 1 1 15 1 7
0 14 0 6 1 2 15 1 3
0 14 0 21 14 0 18 2 20
0 14 0 21 14 1 18 2 16
0 14 0 21 14 2 18 2 12
0 14 0 21 14 3 18 2 8
0 14 0 21 14 4 18 2 4
0 14 0 21 14 5 18 2 0
0 14 0 22 10 0 12 1 2
0 14 0 23 16 0 20 1 22
0 14 0 23 16 1 20 1 18
0 14 0 23 16 2 20 1 14
0 14 0 23 16 3 20 1 10
0 14 0 23 16 4 20 1 6
0 14 0 23 16 5 20 1 2
0 15 0 7 0 0 15 0 6
0 15 0 7 0 1 15 0 2
0 15 0 22 13 0 18 1 15
0 15 0 22 13 1 18 1 11
0 15 0 22 13 2 18 1 7
0 15 0 22 13 3 18 1 3
0 16 0 5 1 0 19 1 17
0 16 0 5 1 1 19 1 13
0 16 0 5 1 2 19 1 9
0 16 0 5 1 3 19 1 5
0 16 0 5 1 4 19 1 1
0 16 0 13 2 0 8 5 0
0 16 0 21 10 0 16 1 8
0 16 0 21 10 1 16 1 4
0 16 0 21 10 2 16 1 0
0 17 0 6 0 0 19 0 12
0 17 0 6 0 1 19 0 8
0 17 0 6 0 2 19 0 4
0 17 0 6 0 3 19 0 0
0 17 0 21 13 0 22 1 21
0 17 0 21 13 1 22 1 17
0 17 0 21 13 2 22 1 13
0 17 0 21 13 3 22 1 9
0 17 0 21 13 4 22 1 5
0 17 0 21 13 5 22 1 1
0 18 0 4 1 0 23 1 23
0 18 0 4 1 1 23 1 19
0 18 0 4 1 2 23 1 15
0 18 0 4 1 3 23 1 11
0 18 0 4 1 4 23 1 7
0 18 0 4 1 5 23 1 3
0 18 0 10 0 1 10 6 0
0 18 0 20 10 0 20 1 14
0 18 0 20 10 1 20 1 10
0 18 0 20 10 2 20 1 6
0 18 0 20 10 3 20 1 2
0 19 0 5 0 0 23 0 18
0 19 0 5 0 1 23 0 14
0 19 0 5 0 2 23 0 10
0 19 0 5 0 3 23 0 6
0 19 0 5 0 4 23 0 2
0 19 0 18 11 6 24 2 1
0 19 0 20 13 0 26 1 27
0 19 0 20 13 1 26 1 23
0 19 0 20 13 2 26 1 19
0 19 0 20 13 3 26 1 15
0 19 0 20 13 4 26 1 11
0 19 0 20 13 5 26 1 7
0 19 0 20 13 6 26 1 3
0 20 0 3 1 0 27 1 29
0 20 0 3 1 1 27 1 25
0 20 0 3 1 2 27 1 21
0 20 0 3 1 3 27 1 17
0 20 0 3 1 4 27 1 13
0 20 0 3 1 5 27 1 9
0 20 0 3 1 6 27 1 5
0 20 0 3 1 7 27 1 1
0 20 0 19 10 0 24 1 20
0 20 0 19 10 1 24 1 16
0 20 0 19 10 2 24 1 12
0 20 0 19 10 3 24 1 8
0 20 0 19 10 4 24 1 4
0 20 0 19 10 5 24 1 0
0 21 0 4 0 0 27 0 24
0 21 0 4 0 1 27 0 20
0 21 0 4 0 2 27 0 16
0 21 0 4 0 3 27 0 12
0 21 0 4 0 4 27 0 8
0 21 0 4 0 5 27 0 4
0 21 0 4 0 6 27 0 0
0 21 0 15 9 0 26 3 29
0 21 0 15 9 1 26 3 25
0 21 0 15 9 2 26 3 21
0 21 0 15 9 3 26 3 17
0 21 0 15 9 4 26 3 13
0 21 0 15 9 5 26 3 9
0 21 0 15 9 6 26 3 5
0 21 0 15 9 7 26 3 1
0 21 0 17 11 0 28 2 31
0 21 0 17 11 1 28 2 27
0 21 0 17 11 2 28 2 23
0 21 0 17 11 3 28 2 19
0 21 0 17 11 4 28 2 15
0 21 0 17 11 5 28 2 11
0 21 0 17 11 6 28 2 7
0 21 0 17 11 7 28 2 3
0 21 0 19 13 0 30 1 33
0 21 0 19 13 1 30 1 29
0 21 0 19 13 2 30 1 25
0 21 0 19 13 3 30 1 21
0 21 0 19 13 4 30 1 17
0 21 0 19 13 5 30 1 13
0 21 0 19 13 6 30 1 9
0 21 0 19 13 7 30 1 5
0 21 0 19 13 8 30 1 1
0 22 0 18 10 0 28 1 26
0 22 0 18 10 1 28 1 22
0 22 0 18 10 2 28 1 18
0 22 0 18 10 3 28 1 14
0 22 0 18 10 4 28 1 10
0 22 0 18 10 5 28 1 6
0 22 0 18 10 6 28 1 2
0 23 0 3 0 0 31 0 30
0 23 0 3 0 1 31 0 26
0 23 0 3 0 2 31 0 22
0 23 0 3 0 3 31 0 18
0 23 0 3 0 4 31 0 14
0 23 0 3 0 5 31 0 10
0 23 0 3 0 6 31 0 6
0 23 0 3 0 7 31 0 2
0 24 0 17 10 0 32 1 32
0 24 0 17 10 1 32 1 28
0 24 0 17 10 2 32 1 24
0 24 0 17 10 3 32 1 20
0 24 0 17 10 4 32 1 16
0 24 0 17 10 5 32 1 12
0 24 0 17 10 6 32 1 8
0 24 0 17 10 7 32 1 4
0 24 0 17 10 8 32 1 0
0 25 0 2 0 0 35 0 36
0 25 0 2 0 1 35 0 32
0 25 0 2 0 2 35 0 28
0 25 0 2 0 3 35 0 24
0 25 0 2 0 4 35 0 20
0 25 0 2 0 5 35 0 16
0 25 0 2 0 6 35 0 12
0 25 0 2 0 7 35 0 8
0 25 0 2 0 8 35 0 4
0 25 0 2 0 9 35 0 0
0 26 0 6 0 7 26 6 0
0 26 0 14 8 9 34 2 0
0 26 0 16 10 0 36 1 38
0 26 0 16 10 1 36 1 34
0 26 0 16 10 2 36 1 30
0 26 0 16 10 3 36 1 26
0 26 0 16 10 4 36 1 22
0 26 0 16 10 5 36 1 18
0 26 0 16 10 6 36 1 14
0 26 0 16 10 7 36 1 10
0 26 0 16 10 8 36 1 6
0 26 0 16 10 9 36 1 2
0 27 0 1 0 0 39 0 42
0 27 0 1 0 1 39 0 38
0 27 0 1 0 2 39 0 34
0 27 0 1 0 3 39 0 30
0 27 0 1 0 4 39 0 26
0 27 0 1 0 5 39 0 22
0 27 0 1 0 6 39 0 18
0 27 0 1 0 7 39 0 14
0 27 0 1 0 8 39 0 10
0 27 0 1 0 9 39 0 6
0 27 0 1 0 10 39 0 2
0 27 0 22 12 8 29 6 0
0 27 0 30 20 10 37 2 0
0 28 0 11 6 0 36 3 40
0 28 0 11 6 1 36 3 36
0 28 0 11 6 2 36 3 32
0 28 0 11 6 3 36 3 28
0 28 0 11 6 4 36 3 24
0 28 0 11 6 5 36 3 20
0 28 0 11 6 6 36 3 16
0 28 0 11 6 7 36 3 12
0 28 0 11 6 8 36 3 8
0 28 0 11 6 9 36 3 4
0 28 0 11 6 10 36 3 0
0 28 0 13 8 0 38 2 42
0 28 0 13 8 1 38 2 38
0 28 0 13 8 2 38 2 34
0 28 0 13 8 3 38 2 30
0 28 0 13 8 4 38 2 26
0 28 0 13 8 5 38 2 22
0 28 0 13 8 6 38 2 18
0 28 0 13 8 7 38 2 14
0 28 0 13 8 8 38 2 10
0 28 0 13 8 9 38 2 6
0 28 0 13 8 10 38 2 2
0 28 0 15 10 0 40 1 44
0 28 0 15 10 1 40 1 40
0 28 0 15 10 2 40 1 36
0 28 0 15 10 3 40 1 32
0 28 0 15 10 4 40 1 28
0 28 0 15 10 5 40 1 24
0 28 0 15 10 6 40 1 20
0 28 0 15 10 7 40 1 16
0 28 0 15 10 8 40 1 12
0 28 0 15 10 9 40 1 8
0 28 0 15 10 10 40 1 4
0 28 0 15 10 11 40 1 0
0 29 0 0 0 0 43 0 48
0 29 0 0 0 1 43 0 44
0 29 0 0 0 2 43 0 40
0 29 0 0 0 3 43 0 36
0 29 0 0 0 4 43 0 32
0 29 0 0 0 5 43 0 28
0 29 0 0 0 6 43 0 24
0 29 0 0 0 7 43 0 20
0 29 0 0 0 8 43 0 16
0 29 0 0 0 9 43 0 12
0 29 0 0 0 10 43 0 8
0 29 0 0 0 11 43 0 4
0 29 0 0 0 12 43 0 0
0 34 0 14 5 0 35 8 39
0 34 0 14 5 1 35 8 35
0 34 0 14 5 2 35 8 31
0 34 0 14 5 3 35 8 27
0 34 0 14 5 4 35 8 23
0 34 0 14 5 5 35 8 19
0 34 0 14 5 6 35 8 15
0 34 0 14 5 7 35 8 11
0 34 0 14 5 8 35 8 7
0 34 0 14 5 9 35 8 3
1 3 0 6 3 0 1 1 0
1 3 0 8 5 0 3 0 2
1 4 0 18 11 0 0 3 0
1 4 0 20 13 0 2 2 2
1 4 0 22 15 0 4 1 4
1 4 0 22 15 1 4 1 0
1 5 0 5 3 1 5 1 2
1 5 0 7 5 1 7 0 4
1 5 0 7 5 2 7 0 0
1 6 0 6 2 0 5 0 1
1 8 0 3 0 0 7 1 5
1 8 0 3 0 1 7 1 1
1 8 0 5 2 0 9 0 7
1 8 0 5 2 1 9 0 3
1 9 0 35 21 0 7 1 0
1 10 0 2 0 0 11 1 11
1 10 0 2 0 1 11 1 7
1 10 0 2 0 2 11 1 3
1 10 0 4 2 0 13 0 13
1 10 0 4 2 1 13 0 9
1 10 0 4 2 2 13 0 5
1 10 0 4 2 3 13 0 1
1 10 0 20 11 0 10 0 4
1 10 0 20 11 1 10 0 0
1 11 0 14 8 0 10 3 11
1 11 0 16 10 0 12 2 13
1 11 0 18 12 0 14 1 15
1 12 0 1 0 1 15 1 13
1 12 0 1 0 2 15 1 9
1 12 0 1 0 3 15 1 5
1 12 0 1 0 4 15 1 1
1 12 0 3 2 1 17 0 15
1 12 0 3 2 2 17 0 11
1 12 0 3 2 3 17 0 7
1 12 0 3 2 4 17 0 3
1 12 0 9 1 0 4 5 0
1 12 0 19 11 0 14 0 10
1 12 0 19 11 1 14 0 6
1 12 0 19 11 2 14 0 2
1 13 0 18 8 0 12 0 3
1 14 0 18 11 0 18 0 16
1 14 0 18 11 1 18 0 12
1 14 0 18 11 2 18 0 8
1 14 0 18 11 3 18 0 4
1 14 0 18 11 4 18 0 0
1 15 0 9 0 0 8 4 1
1 15 0 17 8 0 16 0 9
1 15 0 17 8 1 16 0 5
1 15 0 17 8 2 16 0 1
1 16 0 7 1 3 12 5 0
1 16 0 17 11 0 22 0 22
1 16 0 17 11 1 22 0 18
1 16 0 17 11 2 22 0 14
1 16 0 17 11 3 22 0 10
1 16 0 17 11 4 22 0 6
1 16 0 17 11 5 22 0 2
1 17 0 16 8 0 20 0 15
1 17 0 16 8 1 20 0 11
1 17 0 16 8 2 20 0 7
1 17 0 16 8 3 20 0 3
1 17 0 17 7 0 9 8 10
1 18 0 8 3 0 18 4 20
1 18 0 8 3 5 18 4 0
1 18 0 10 5 0 20 3 22
1 18 0 11 1 0 14 2 4
1 18 0 11 1 1 14 2 0
1 18 0 12 7 0 22 2 24
1 18 0 14 9 0 24 1 26
1 18 0 16 11 0 26 0 28
1 18 0 16 11 1 26 0 24
1 18 0 16 11 2 26 0 20
1 18 0 16 11 3 26 0 16
1 18 0 16 11 4 26 0 12
1 18 0 16 11 5 26 0 8
1 18 0 16 11 6 26 0 4
1 18 0 16 11 7 26 0 0
1 18 0 35 21 4 14 7 0
1 19 0 15 8 0 24 0 21
1 19 0 15 8 1 24 0 17
1 19 0 15 8 2 24 0 13
1 19 0 15 8 3 24 0 9
1 19 0 15 8 4 24 0 5
1 19 0 15 8 5 24 0 1
1 19 0 30 21 0 27 1 30
1 21 0 14 8 0 28 0 27
1 21 0 14 8 1 28 0 23
1 21 0 14 8 2 28 0 19
1 21 0 14 8 3 28 0 15
1 21 0 14 8 4 28 0 11
1 21 0 14 8 5 28 0 7
1 21 0 14 8 6 28 0 3
1 22 0 9 1 4 22 2 0
1 23 0 13 8 0 32 0 33
1 23 0 13 8 1 32 0 29
1 23 0 13 8 2 32 0 25
1 23 0 13 8 3 32 0 21
1 23 0 13 8 4 32 0 17
1 23 0 13 8 5 32 0 13
1 23 0 13 8 6 32 0 9
1 23 0 13 8 7 32 0 5
1 23 0 13 8 8 32 0 1
1 25 0 4 0 0 28 4 31
1 25 0 6 2 0 30 3 33
1 25 0 8 4 0 32 2 35
1 25 0 10 6 0 34 1 37
1 25 0 12 8 0 36 0 39
1 25 0 12 8 1 36 0 35
1 25 0 12 8 2 36 0 31
1 25 0 12 8 3 36 0 27
1 25 0 12 8 4 36 0 23
1 25 0 12 8 5 36 0 19
1 25 0 12 8 6 36 0 15
1 25 0 12 8 7 36 0 11
1 25 0 12 8 8 36 0 7
1 25 0 12 8 9 36 0 3
1 26 0 7 1 7 30 2 0
1 26 0 24 16 0 35 2 39
1 26 0 26 18 0 37 1 41
1 30 0 5 1 10 38 2 0
1 31 0 9 1 8 29 8 0
1 32 0 4 1 0 42 2 46
1 32 0 25 13 9 32 8 0
1 39 0 19 8 11 40 9 1
2 2 0 2 1 0 1 0 1
2 5 0 31 20 0 3 1 0
2 5 0 33 22 0 5 0 2
2 6 0 16 10 1 6 0 0
2 7 0 32 22 0 9 0 8
2 7 0 32 22 1 9 0 4
2 7 0 32 22 2 9 0 0
2 8 0 5 0 0 0 5 0
2 8 0 9 4 1 4 3 0
2 8 0 15 10 0 10 0 10
2 8 0 31 19 0 7 0 1
2 9 0 21 12 1 3 5 0
2 9 0 27 18 0 9 2 10
2 9 0 31 22 0 13 0 14
2 9 0 31 22 1 13 0 10
2 9 0 31 22 2 13 0 6
2 9 0 31 22 3 13 0 2
2 10 0 10 6 1 10 2 8
2 10 0 10 6 3 10 2 0
2 10 0 12 8 1 12 1 10
2 10 0 14 10 1 14 0 12
2 10 0 30 19 0 11 0 7
2 10 0 30 19 1 11 0 3
2 11 0 29 16 0 9 0 0
2 12 0 10 2 0 8 1 0
2 12 0 29 19 0 15 0 13
2 12 0 29 19 1 15 0 9
2 12 0 29 19 2 15 0 5
2 12 0 29 19 3 15 0 1
2 14 0 7 0 0 10 2 4
2 14 0 7 0 1 10 2 0
2 14 0 11 4 2 14 0 0
2 14 0 28 19 0 19 0 19
2 14 0 28 19 1 19 0 15
2 14 0 28 19 2 19 0 11
2 14 0 28 19 3 19 0 7
2 14 0 28 19 4 19 0 3
2 15 0 11 7 0 20 0 21
2 16 0 8 2 3 16 1 0
2 16 0 27 19 0 23 0 25
2 16 0 27 19 1 23 0 21
2 16 0 27 19 2 23 0 17
2 16 0 27 19 3 23 0 13
2 16 0 27 19 4 23 0 9
2 16 0 27 19 5 23 0 5
2 16 0 27 19 6 23 0 1
2 17 0 6 3 1 20 2 19
2 17 0 8 5 1 22 1 21
2 17 0 10 7 1 24 0 23
2 18 0 5 0 4 18 2 0
2 18 0 9 4 5 22 0 0
2 20 0 6 2 6 24 1 0
2 22 0 3 0 0 26 2 28
2 22 0 3 0 7 26 2 0
2 22 0 7 4 0 30 0 32
2 22 0 7 4 8 30 0 0
2 23 0 9 2 1 19 7 18
2 23 0 9 2 2 19 7 14
2 23 0 9 2 3 19 7 10
2 23 0 9 2 4 19 7 6
2 23 0 9 2 5 19 7 2
2 23 0 11 4 6 21 6 0
2 23 0 23 16 0 33 0 36
2 24 0 2 0 1 30 2 30
2 24 0 4 2 1 32 1 32
2 24 0 4 2 9 32 1 0
2 24 0 6 4 1 34 0 34
2 24 0 6 4 9 34 0 2
2 30 0 11 5 0 35 4 39
2 30 0 19 13 0 43 0 47
2 32 0 16 11 1 45 1 47
2 32 0 16 11 2 45 1 43
2 32 0 16 11 3 45 1 39
2 32 0 16 11 4 45 1 35
2 32 0 16 11 5 45 1 31
2 32 0 16 11 6 45 1 27
2 32 0 16 11 7 45 1 23
2 32 0 16 11 8 45 1 19
2 32 0 16 11 9 45 1 15
2 32 0 16 11 10 45 1 11
2 32 0 16 11 11 45 1 7
2 32 0 16 11 12 45 1 3
3 0 0 46 33 0 0 0 0
3 4 0 27 18 0 3 0 1
3 5 0 43 30 0 6 0 5
3 5 0 43 30 1 6 0 1
3 6 0 26 18 0 7 0 7
3 6 0 26 18 1 7 0 3
3 7 0 5 2 1 4 2 1
3 7 0 25 15 0 5 0 0
3 7 0 42 30 0 10 0 11
3 7 0 42 30 1 10 0 7
3 7 0 42 30 2 10 0 3
3 8 0 6 1 0 4 1 0
3 8 0 21 14 1 7 2 5
3 8 0 21 14 2 7 2 1
3 8 0 23 16 1 9 1 7
3 8 0 23 16 2 9 1 3
3 8 0 41 27 1 8 0 0
3 10 0 7 3 2 10 0 0
3 11 0 6 0 0 8 0 1
3 12 0 4 1 3 12 1 0
3 13 0 5 0 0 12 0 7
3 13 0 5 0 1 12 0 3
3 13 0 8 1 1 3 7 0
3 13 0 14 7 0 9 4 10
3 13 0 22 15 0 17 0 18
3 14 0 5 3 0 18 0 20
3 14 0 5 3 5 18 0 0
3 14 0 38 27 0 20 0 22
3 15 0 4 0 0 16 0 13
3 15 0 4 0 1 16 0 9
3 15 0 4 0 2 16 0 5
3 15 0 4 0 3 16 0 1
3 15 0 15 9 1 15 3 14
3 15 0 17 11 1 17 2 16
3 15 0 19 13 1 19 1 18
3 15 0 20 9 1 13 0 0
3 15 0 21 15 1 21 0 20
3 17 0 3 0 0 20 0 19
3 17 0 3 0 1 20 0 15
3 17 0 3 0 2 20 0 11
3 17 0 3 0 3 20 0 7
3 17 0 3 0 4 20 0 3
3 19 0 2 0 0 24 0 25
3 19 0 2 0 1 24 0 21
3 19 0 2 0 2 24 0 17
3 19 0 2 0 3 24 0 13
3 19 0 2 0 4 24 0 9
3 19 0 2 0 5 24 0 5
3 19 0 2 0 6 24 0 1
3 21 0 1 0 0 28 0 31
3 21 0 1 0 1 28 0 27
3 21 0 1 0 2 28 0 23
3 21 0 1 0 3 28 0 19
3 21 0 1 0 4 28 0 15
3 21 0 1 0 5 28 0 11
3 21 0 1 0 6 28 0 7
3 21 0 1 0 7 28 0 3
3 21 0 30 20 0 26 2 29
3 21 0 34 24 0 30 0 33
3 22 0 11 6 1 25 3 25
3 22 0 13 8 1 27 2 27
3 22 0 15 10 1 29 1 29
3 22 0 17 12 1 31 0 31
3 23 0 0 0 1 32 0 33
3 23 0 0 0 2 32 0 29
3 23 0 0 0 3 32 0 25
3 23 0 0 0 4 32 0 21
3 23 0 0 0 5 32 0 17
3 23 0 0 0 6 32 0 13
3 23 0 0 0 7 32 0 9
3 23 0 0 0 8 32 0 5
3 23 0 0 0 9 32 0 1
3 27 0 6 1 8 29 4 0
3 28 0 14 5 1 24 8 24
3 28 0 14 5 7 24 8 0
3 28 0 30 21 0 40 0 44
3 29 0 7 3 10 35 3 0
3 29 0 13 9 1 41 0 42
3 30 0 27 19 12 42 1 0
4 3 0 21 14 0 1 0 0
4 4 0 2 0 0 0 1 0
4 4 0 37 26 0 4 0 4
4 4 0 37 26 1 4 0 0
4 5 0 18 12 1 3 1 0
4 5 0 20 14 1 5 0 2
4 6 0 1 0 1 4 1 2
4 6 0 3 2 1 6 0 4
4 6 0 3 2 2 6 0 0
4 9 0 50 32 0 7 0 0
4 11 0 16 8 1 9 0 0
4 12 0 35 21 1 3 7 1
4 13 0 26 17 1 12 3 11
4 19 0 4 0 5 17 4 0
4 19 0 45 32 0 27 0 30
4 20 0 20 12 1 20 4 20
4 20 0 28 20 1 28 0 28
4 26 0 8 5 0 35 0 39
4 26 0 41 29 0 37 0 41
4 27 0 24 17 1 38 0 39
4 28 0 5 3 1 37 1 39
4 28 0 7 5 1 39 0 41
4 33 0 19 8 1 29 9 30
4 34 0 10 4 11 38 5 0
5 4 0 14 10 1 3 0 1
5 5 0 46 31 0 3 0 0
5 7 0 12 7 1 5 0 0
5 9 0 5 1 1 3 3 0
5 9 0 11 7 0 9 0 10
5 10 0 17 9 1 2 5 0
5 10 0 27 19 1 12 0 10
5 11 0 6 3 1 9 2 8
5 11 0 6 3 3 9 2 0
5 11 0 8 5 1 11 1 10
5 11 0 10 7 1 13 0 12
5 12 0 25 13 0 8 0 0
5 15 0 7 1 2 13 0 0
5 17 0 9 2 1 8 7 7
5 17 0 9 2 2 8 7 3
5 18 0 2 0 1 19 2 19
5 18 0 4 2 1 21 1 21
5 18 0 6 4 1 23 0 23
5 18 0 31 20 1 17 4 17
5 19 0 5 1 5 21 0 0
5 23 0 3 1 8 29 0 0
5 24 0 7 1 6 20 6 0
5 25 0 25 15 1 25 5 26
5 25 0 35 25 1 35 0 36
5 26 0 16 11 1 34 1 36
5 26 0 16 11 2 34 1 32
5 26 0 16 11 3 34 1 28
5 26 0 16 11 4 34 1 24
5 26 0 16 11 5 34 1 20
5 26 0 16 11 6 34 1 16
5 26 0 16 11 7 34 1 12
5 26 0 16 11 8 34 1 8
5 26 0 16 11 9 34 1 4
5 26 0 16 11 10 34 1 0
5 33 0 10 6 1 42 2 45
5 33 0 12 8 1 44 1 47
6 8 0 21 12 0 4 0 0
6 8 0 38 27 1 9 0 7
6 8 0 38 27 2 9 0 3
6 9 0 4 0 0 5 0 2
6 9 0 15 9 1 4 3 3
6 9 0 17 11 1 6 2 5
6 9 0 17 11 2 6 2 1
6 9 0 19 13 1 8 1 7
6 9 0 21 15 1 10 0 9
6 11 0 3 0 0 9 0 8
6 11 0 3 0 1 9 0 4
6 11 0 3 0 2 9 0 0
6 13 0 2 0 0 13 0 14
6 13 0 2 0 1 13 0 10
6 13 0 2 0 2 13 0 6
6 13 0 2 0 3 13 0 2
6 15 0 1 0 1 17 0 16
6 15 0 1 0 2 17 0 12
6 15 0 1 0 3 17 0 8
6 15 0 1 0 4 17 0 4
6 15 0 1 0 5 17 0 0
6 15 0 20 10 2 5 7 0
6 16 0 11 6 1 14 3 14
6 16 0 13 8 1 16 2 16
6 16 0 15 10 1 18 1 18
6 16 0 16 6 1 12 0 0
6 16 0 17 12 1 20 0 20
6 17 0 0 0 1 21 0 22
6 17 0 0 0 2 21 0 18
6 17 0 0 0 3 21 0 14
6 17 0 0 0 4 21 0 10
6 17 0 0 0 5 21 0 6
6 17 0 0 0 6 21 0 2
6 21 0 14 9 0 26 0 29
6 22 0 14 5 1 13 8 13
6 22 0 14 5 4 13 8 1
6 23 0 13 9 1 30 0 31
6 24 0 27 19 9 31 1 1
6 29 0 10 2 7 23 8 0
6 30 0 3 0 10 34 3 0
7 4 0 17 11 0 0 0 0
7 5 0 33 23 1 3 0 0
7 6 0 14 9 1 2 1 0
7 7 0 26 17 1 1 3 0
7 7 0 28 19 1 3 2 2
7 7 0 30 21 1 5 1 4
7 7 0 30 21 2 5 1 0
7 12 0 12 5 1 8 0 0
7 13 0 4 0 1 6 4 5
7 13 0 4 0 2 6 4 1
7 13 0 6 2 1 8 3 7
7 14 0 20 12 1 9 4 9
7 14 0 20 12 3 9 4 1
7 14 0 22 14 1 11 3 11
7 14 0 24 16 1 13 2 13
7 14 0 26 18 1 15 1 15
7 14 0 28 20 1 17 0 17
7 20 0 4 1 6 20 2 0
7 21 0 16 9 1 19 4 20
7 21 0 24 17 1 27 0 28
7 22 0 5 3 1 26 1 28
7 22 0 5 3 8 26 1 0
7 22 0 7 5 1 28 0 30
7 27 0 19 8 1 18 9 19
7 28 0 20 14 1 37 0 39
7 29 0 1 0 1 36 1 39
7 29 0 3 2 1 38 0 41
7 35 0 6 1 11 37 5 0
8 5 0 10 7 1 2 0 1
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162 80 0 1 0 18 4 0 0
162 82 0 0 0 19 8 0 2
162 89 0 27 19 22 18 1 1
163 87 0 5 3 21 13 1 0
164 85 0 16 11 20 10 1 1
164 105 0 9 2 25 27 7 0
165 83 0 27 19 19 7 1 2
166 81 0 5 3 18 2 1 1
166 88 0 1 0 21 12 1 0
167 99 0 9 2 22 16 7 1
168 84 0 21 14 19 4 2 0
168 99 0 0 0 26 29 0 0
169 82 0 1 0 18 1 1 1
170 93 0 9 2 19 5 7 2
171 93 0 0 0 23 18 0 1
171 98 0 14 5 21 10 8 0
171 100 0 27 19 26 28 1 0
173 96 0 16 11 24 20 1 0
174 85 0 1 0 19 3 0 0
174 87 0 0 0 20 7 0 2
174 94 0 27 19 23 17 1 1
175 92 0 5 3 22 12 1 0
176 90 0 16 11 21 9 1 1
176 110 0 9 2 26 26 7 0
177 88 0 27 19 20 6 1 2
178 86 0 5 3 19 1 1 1
178 93 0 1 0 22 11 1 0
179 104 0 9 2 23 15 7 1
180 89 0 21 14 20 3 2 0
180 104 0 0 0 27 28 0 0
182 98 0 9 2 20 4 7 2
183 98 0 0 0 24 17 0 1
183 103 0 14 5 22 9 8 0
183 105 0 27 19 27 27 1 0
185 101 0 16 11 25 19 1 0
186 90 0 1 0 20 2 0 0
186 92 0 0 0 21 6 0 2
186 99 0 27 19 24 16 1 1
187 97 0 5 3 23 11 1 0
188 95 0 16 11 22 8 1 1
188 115 0 9 2 27 25 7 0
189 93 0 27 19 21 5 1 2
190 98 0 1 0 23 10 1 0
191 109 0 9 2 24 14 7 1
192 94 0 21 14 21 2 2 0
192 109 0 0 0 28 27 0 0
194 103 0 9 2 21 3 7 2
195 103 0 0 0 25 16 0 1
195 108 0 14 5 23 8 8 0
195 110 0 27 19 28 26 1 0
197 106 0 16 11 26 18 1 0
198 95 0 1 0 21 1 0 0
198 97 0 0 0 22 5 0 2
198 104 0 27 19 25 15 1 1
199 102 0 5 3 24 10 1 0
200 100 0 16 11 23 7 1 1
200 120 0 9 2 28 24 7 0
201 98 0 27 19 22 4 1 2
202 103 0 1 0 24 9 1 0
203 114 0 9 2 25 13 7 1
204 99 0 21 14 22 1 2 0
204 114 0 0 0 29 26 0 0
206 108 0 9 2 22 2 7 2
207 108 0 0 0 26 15 0 1
207 113 0 14 5 24 7 8 0
207 115 0 27 19 29 25 1 0
209 111 0 16 11 27 17 1 0
210 100 0 1 0 22 0 0 0
210 102 0 0 0 23 4 0 2
210 109 0 27 19 26 14 1 1
211 107 0 5 3 25 9 1 0
212 105 0 16 11 24 6 1 1
212 125 0 9 2 29 23 7 0
213 103 0 27 19 23 3 1 2
214 108 0 1 0 25 8 1 0
215 119 0 9 2 26 12 7 1
216 104 0 21 14 23 0 2 0
216 119 0 0 0 30 25 0 0
219 113 0 0 0 27 14 0 1
219 118 0 14 5 25 6 8 0
219 120 0 27 19 30 24 1 0
221 116 0 16 11 28 16 1 0
222 107 0 0 0 24 3 0 2
222 114 0 27 19 27 13 1 1
223 112 0 5 3 26 8 1 0
224 110 0 16 11 25 5 1 1
224 130 0 9 2 30 22 7 0
225 108 0 27 19 24 2 1 2
226 113 0 1 0 26 7 1 0
227 124 0 9 2 27 11 7 1
228 124 0 0 0 31 24 0 0
231 118 0 0 0 28 13 0 1
231 123 0 14 5 26 5 8 0
231 125 0 27 19 31 23 1 0
233 121 0 16 11 29 15 1 0
234 112 0 0 0 25 2 0 2
234 119 0 27 19 28 12 1 1
235 117 0 5 3 27 7 1 0
236 115 0 16 11 26 4 1 1
236 135 0 9 2 31 21 7 0
238 118 0 1 0 27 6 1 0
239 129 0 9 2 28 10 7 1
240 129 0 0 0 32 23 0 0
243 123 0 0 0 29 12 0 1
243 128 0 14 5 27 4 8 0
243 130 0 27 19 32 22 1 0
245 126 0 16 11 30 14 1 0
246 124 0 27 19 29 11 1 1
247 122 0 5 3 28 6 1 0
248 120 0 16 11 27 3 1 1
248 140 0 9 2 32 20 7 0
250 123 0 1 0 28 5 1 0
251 134 0 9 2 29 9 7 1
252 134 0 0 0 33 22 0 0
255 128 0 0 0 30 11 0 1
255 133 0 14 5 28 3 8 0
255 135 0 27 19 33 21 1 0
257 131 0 16 11 31 13 1 0
258 129 0 27 19 30 10 1 1
259 127 0 5 3 29 5 1 0
260 125 0 16 11 28 2 1 1
260 145 0 9 2 33 19 7 0
262 128 0 1 0 29 4 1 0
263 139 0 9 2 30 8 7 1
264 139 0 0 0 34 21 0 0
267 133 0 0 0 31 10 0 1
267 138 0 14 5 29 2 8 0
267 140 0 27 19 34 20 1 0
269 136 0 16 11 32 12 1 0
270 134 0 27 19 31 9 1 1
271 132 0 5 3 30 4 1 0
272 130 0 16 11 29 1 1 1
272 150 0 9 2 34 18 7 0
274 133 0 1 0 30 3 1 0
275 144 0 9 2 31 7 7 1
276 144 0 0 0 35 20 0 0
279 138 0 0 0 32 9 0 1
279 143 0 14 5 30 1 8 0
279 145 0 27 19 35 19 1 0
281 141 0 16 11 33 11 1 0
282 139 0 27 19 32 8 1 1
283 137 0 5 3 31 3 1 0
284 155 0 9 2 35 17 7 0
286 138 0 1 0 31 2 1 0
287 149 0 9 2 32 6 7 1
288 149 0 0 0 36 19 0 0
291 143 0 0 0 33 8 0 1
291 148 0 14 5 31 0 8 0
291 150 0 27 19 36 18 1 0
293 146 0 16 11 34 10 1 0
294 144 0 27 19 33 7 1 1
295 142 0 5 3 32 2 1 0
296 160 0 9 2 36 16 7 0
298 143 0 1 0 32 1 1 0
299 154 0 9 2 33 5 7 1
300 154 0 0 0 37 18 0 0
303 148 0 0 0 34 7 0 1
303 155 0 27 19 37 17 1 0
305 151 0 16 11 35 9 1 0
306 149 0 27 19 34 6 1 1
307 147 0 5 3 33 1 1 0
308 165 0 9 2 37 15 7 0
310 148 0 1 0 33 0 1 0
311 159 0 9 2 34 4 7 1
312 159 0 0 0 38 17 0 0
315 153 0 0 0 35 6 0 1
315 160 0 27 19 38 16 1 0
317 156 0 16 11 36 8 1 0
318 154 0 27 19 35 5 1 1
319 152 0 5 3 34 0 1 0
320 170 0 9 2 38 14 7 0
323 164 0 9 2 35 3 7 1
324 164 0 0 0 39 16 0 0
327 158 0 0 0 36 5 0 1
327 165 0 27 19 39 15 1 0
329 161 0 16 11 37 7 1 0
330 159 0 27 19 36 4 1 1
332 175 0 9 2 39 13 7 0
335 169 0 9 2 36 2 7 1
336 169 0 0 0 40 15 0 0
339 163 0 0 0 37 4 0 1
339 170 0 27 19 40 14 1 0
341 166 0 16 11 38 6 1 0
342 164 0 27 19 37 3 1 1
344 180 0 9 2 40 12 7 0
347 174 0 9 2 37 1 7 1
348 174 0 0 0 41 14 0 0
351 168 0 0 0 38 3 0 1
351 175 0 27 19 41 13 1 0
353 171 0 16 11 39 5 1 0
354 169 0 27 19 38 2 1 1
356 185 0 9 2 41 11 7 0
360 179 0 0 0 42 13 0 0
363 173 0 0 0 39 2 0 1
363 180 0 27 19 42 12 1 0
365 176 0 16 11 40 4 1 0
366 174 0 27 19 39 1 1 1
368 190 0 9 2 42 10 7 0
372 184 0 0 0 43 12 0 0
375 178 0 0 0 40 1 0 1
375 185 0 27 19 43 11 1 0
377 181 0 16 11 41 3 1 0
380 195 0 9 2 43 9 7 0
384 189 0 0 0 44 11 0 0
387 190 0 27 19 44 10 1 0
389 186 0 16 11 42 2 1 0
392 200 0 9 2 44 8 7 0
396 194 0 0 0 45 10 0 0
399 195 0 27 19 45 9 1 0
401 191 0 16 11 43 1 1 0
404 205 0 9 2 45 7 7 0
408 199 0 0 0 46 9 0 0
411 200 0 27 19 46 8 1 0
413 196 0 16 11 44 0 1 0
416 210 0 9 2 46 6 7 0
420 204 0 0 0 47 8 0 0
423 205 0 27 19 47 7 1 0
428 215 0 9 2 47 5 7 0
432 209 0 0 0 48 7 0 0
435 210 0 27 19 48 6 1 0
440 220 0 9 2 48 4 7 0
444 214 0 0 0 49 6 0 0
447 215 0 27 19 49 5 1 0
452 225 0 9 2 49 3 7 0
456 219 0 0 0 50 5 0 0
459 220 0 27 19 50 4 1 0
464 230 0 9 2 50 2 7 0
468 224 0 0 0 51 4 0 0
471 225 0 27 19 51 3 1 0
476 235 0 9 2 51 1 7 0
480 229 0 0 0 52 3 0 0
483 230 0 27 19 52 2 1 0
488 240 0 9 2 52 0 7 0
492 234 0 0 0 53 2 0 0
495 235 0 27 19 53 1 1 0
504 239 0 0 0 54 1 0 0
507 240 0 27 19 54 0 1 0
516 244 0 0 0 55 0 0 0
9 extreme rays:
0 0 0 31 22 0 0 1 0
0 0 1 26 19 0 0 0 0
0 12 0 8 0 0 0 9 0
0 13 0 8 0 0 11 0 0
0 29 0 0 0 0 43 0 48
0 29 0 0 0 12 43 0 0
3 0 0 46 33 0 0 0 0
18 12 0 5 0 0 0 0 0
516 244 0 0 0 55 0 0 0
10 support hyperplanes:
-956384 3844896 -4456671 -5784570 8150289 -8084736 -336864 15312 -2021184
-318813 1281632 -1485557 -1928190 2716763 -2694740 -112288 5104 -673728
-59774 240306 -278526 -361515 509364 -505296 -21054 957 -126324
0 0 -19 0 1 0 0 0 0
0 0 0 0 0 1 0 0 0
0 0 1 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0
999 -4016 4655 6042 -8513 8444 352 -16 2112
5434 -21846 25322 32868 -46310 45936 1914 -87 11484
39853 -160204 185701 241032 -339607 336864 14036 -638 84216
2 equations:
1 6 -7 -18 25 -36 6 8 -9
0 55 -64 -132 184 -244 31 44 -61
7 basis elements of lattice:
0 1 0 0 0 0 11 -9 0
0 0 1 0 19 -1 -100 120 96
0 0 0 1 22 1 -80 106 96
0 0 0 0 44 1 -104 161 192
3 0 0 0 -11 0 12 -29 -48
0 0 0 0 0 0 92 -87 -16
1 0 0 0 -4 0 -201639 190674 35051