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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
Views: 41838616 Hilbert basis elements
16 Hilbert basis elements of degree 1
16 extreme rays
16 support hyperplanes
embedding dimension = 18
rank = 16
external index = 1
internal index = 1
original monoid is integrally closed
size of partial triangulation = 0
resulting sum of |det|s = 0
grading:
-879 -60 200 -40 0 -537 -289 -189 -449 -153 -321 -175 -187 -119 -263 -43 624 4
degrees of extreme rays:
1: 16
Hilbert basis elements are of degree 1
***********************************************************************
16 Hilbert basis elements of degree 1:
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 11
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 66
0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 30
0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 47
0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 44
0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 15
0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 75
0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 42
0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 1 35
0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 76
0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 1 89
0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 98
1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 74
1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 24
1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 89
1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 29
0 further Hilbert basis elements of higher degree:
16 extreme rays:
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 11
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 66
0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 30
0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 47
0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 44
0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 15
0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 75
0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 42
0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 1 35
0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 76
0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 1 89
0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 98
1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 74
1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 24
1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 89
1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 29
16 support hyperplanes:
-660 -45 150 -30 0 -403 -217 -142 -337 -115 -241 -132 -140 -90 -198 -33 468 3
-660 -45 150 -30 0 -403 -217 -142 -337 -115 -241 -131 -141 -90 -198 -33 468 3
-440 -30 100 -20 0 -268 -145 -95 -224 -77 -160 -88 -94 -60 -132 -22 312 2
-440 -30 100 -20 0 -268 -145 -94 -225 -77 -160 -88 -94 -60 -132 -22 312 2
-220 -15 50 -10 0 -135 -72 -47 -113 -38 -80 -44 -47 -30 -66 -11 156 1
-1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 -1 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
220 15 -50 10 0 134 72 48 112 39 80 44 47 30 66 11 -156 -1
220 15 -50 10 0 134 73 47 113 38 80 44 47 30 66 11 -156 -1
440 30 -100 20 0 269 145 94 225 77 160 88 94 60 132 22 -312 -2
660 45 -150 30 0 403 217 142 337 115 241 132 141 90 198 33 -468 -3
2 equations:
1 250 120 240 220 269 145 95 225 77 161 88 94 60 132 22 -313 -2
0 501 241 481 441 538 290 190 450 154 322 176 188 120 264 44 -626 -4
16 basis elements of lattice:
1 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 1 64
0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 15
0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 -50
0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 10
0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 -22
0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 -84
0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 -1 204
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 -44
0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 -1 195
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 -76
0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 44
0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 47
0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 30
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 66
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 11
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -313