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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it

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24 extreme rays
9 support hyperplanes

embedding dimension = 9
rank = 7

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

24 extreme rays:
   0   0   0   0   72   1    0    0  164
   0   0   0   0  956  93    0  779    0
   0   0   0   0 3132 761 3116    0    0
   0   0   0  19  594   0    0    0 1308
   0   0   0  31  166   0    0  109    0
   0   0   0 761 2106   0 1308    0    0
   0   0  19   0  117   0    0    0  192
   0   0  31   0   73   0    0   16    0
   0   0 761   0 1503   0  192    0    0
   0   6   0   1    0   0    0    0   18
   0  13   0   8    0   0   11    0    0
   0  13  11   0    0   0    0    0    1
   0  29   0   0    0  12   43    0    0
   0 152   0   0    0  11    0    0  516
   0 167 144   0    0   0    1    0    0
   0 876 752   0    0   0    0    9    0
   0 956   0   0    0 188    0 1161    0
   0 996   0 376    0   0    0  891    0
   1  64  55   0    0   0    0    0    0
   3   0   4   0    9   0    0    0    0
  18  12   0   5    0   0    0    0    0
 327   0   0  64  297   0    0    0    0
 516 244   0   0    0  55    0    0    0
 779   0   0   0  549  64    0    0    0

9 support hyperplanes:
 -99 -99  117  594 -19 1368 -315 0 0
   0   0    0    0   0    0    1 0 0
   0   0    0    0   0    1    0 0 0
   0   0    0    0   1    0    0 0 0
   0   0    0    1   0    0    0 0 0
   0   0    1    0   0    0    0 0 0
   0   1    0    0   0    0    0 0 0
   1   0    0    0   0    0    0 0 0
  13 188 -219 -498  93 -956  140 0 0

2 equations:
 495   0   -9 -1782 -161 -4644 1296 752  99
   0 495 -576 -1188  256 -2196  279 -52 -99

7 basis elements of lattice:
 140   0   0  0   0  0 0 -99   52
   0 140   0  0   0  0 0 -99  752
   0   0 140  0   0  0 0 117 -876
   0   0   0 70   0  0 0 297 -996
   0   0   0  0 140  0 0 -19  372
   0   0   0  0   0 35 0 342 -956
   0   0   0  0   0  0 4  -9   16