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16 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 triangulation   = 1
resulting sum of |det|s = 1

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

multiplicity = 1

Hilbert series:
1 
denominator with 16 factors:
1: 16  

degree of Hilbert Series as rational function = -16

The numerator of the Hilbert Series is symmetric.

Hilbert polynomial:
1307674368000 4339163001600 6165817614720 5056995703824 2706813345600 1009672107080 272803210680 54631129553 8207628000 928095740 78558480 4899622 218400 6580 120 1 
with common denominator = 1307674368000

***********************************************************************

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