-- -*- M2-comint -*- {* hash: 1094547918 *}

i1 : A = matrix "1,1,1,1; 1,2,3,4"

o1 = | 1 1 1 1 |
     | 1 2 3 4 |

              2        4
o1 : Matrix ZZ  <--- ZZ

i2 : toricGraver(A) -- the Graver basis
-------------------------------------------------
4ti2 version 1.3.2, Copyright (C) 2006 4ti2 team.
4ti2 comes with ABSOLUTELY NO WARRANTY.
This is free software, and you are welcome
to redistribute it under certain conditions.
For details, see the file COPYING.
-------------------------------------------------


Final basis has 1 inhomogeneous, 10 homogeneous and 0 free elements.
Writing 5 vectors to graver file, with respect to symmetry.

4ti2 Total Time: 0.00 secs
using temporary file name /tmp/M2-3729-1

o2 = | 1 -2 1  0 |
     | 2 -3 0  1 |
     | 1 -1 -1 1 |
     | 0 1  -2 1 |
     | 1 0  -3 2 |

              5        4
o2 : Matrix ZZ  <--- ZZ

i3 : toricGraverDegrees(A) -- just the degrees
-------------------------------------------------
4ti2 version 1.3.2, Copyright (C) 2006 4ti2 team.
4ti2 comes with ABSOLUTELY NO WARRANTY.
This is free software, and you are welcome
to redistribute it under certain conditions.
For details, see the file COPYING.
-------------------------------------------------


Final basis has 1 inhomogeneous, 10 homogeneous and 0 free elements.
Writing 5 vectors to graver file, with respect to symmetry.

4ti2 Total Time: 0.00 secs
-------------------------------------------------
4ti2 version 1.3.2, Copyright (C) 2006 4ti2 team.
4ti2 comes with ABSOLUTELY NO WARRANTY.
This is free software, and you are welcome
to redistribute it under certain conditions.
For details, see the file COPYING.
-------------------------------------------------
Norm = 4,   number of elements = 3
Norm = 6,   number of elements = 2
using temporary file name /tmp/M2-3729-2

i4 : M = matrix "1,1,1,1,1,1,1,1,1,1,1; 1,1,1,1,0,0,0,0,0,0,0; 0,0,0,0,1,1,1,0,0,0,0; 0,0,0,0,0,0,0,1,1,1,1; 1,2,3,4,1,2,3,1,2,3,4"

o4 = | 1 1 1 1 1 1 1 1 1 1 1 |
     | 1 1 1 1 0 0 0 0 0 0 0 |
     | 0 0 0 0 1 1 1 0 0 0 0 |
     | 0 0 0 0 0 0 0 1 1 1 1 |
     | 1 2 3 4 1 2 3 1 2 3 4 |

              5        11
o4 : Matrix ZZ  <--- ZZ

i5 : toricGraverDegrees(M)
-------------------------------------------------
4ti2 version 1.3.2, Copyright (C) 2006 4ti2 team.
4ti2 comes with ABSOLUTELY NO WARRANTY.
This is free software, and you are welcome
to redistribute it under certain conditions.
For details, see the file COPYING.
-------------------------------------------------


Final basis has 1 inhomogeneous, 486 homogeneous and 0 free elements.
Writing 243 vectors to graver file, with respect to symmetry.

4ti2 Total Time: 0.00 secs
-------------------------------------------------
4ti2 version 1.3.2, Copyright (C) 2006 4ti2 team.
4ti2 comes with ABSOLUTELY NO WARRANTY.
This is free software, and you are welcome
to redistribute it under certain conditions.
For details, see the file COPYING.
-------------------------------------------------
Norm = 4,   number of elements = 37
Norm = 6,   number of elements = 115
Norm = 8,   number of elements = 76
Norm = 10,   number of elements = 15
using temporary file name /tmp/M2-3729-3

i6 : A = matrix "1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0;0,1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0;0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,1;0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,1;0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0;1,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0;0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,1,1;0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,1;0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1";

              9        18
o6 : Matrix ZZ  <--- ZZ

i7 : toricGraverDegrees(A)
-------------------------------------------------
4ti2 version 1.3.2, Copyright (C) 2006 4ti2 team.
4ti2 comes with ABSOLUTELY NO WARRANTY.
This is free software, and you are welcome
to redistribute it under certain conditions.
For details, see the file COPYING.
-------------------------------------------------


Final basis has 1 inhomogeneous, 14924 homogeneous and 0 free elements.
Writing 7462 vectors to graver file, with respect to symmetry.

4ti2 Total Time: 1.36 secs
-------------------------------------------------
4ti2 version 1.3.2, Copyright (C) 2006 4ti2 team.
4ti2 comes with ABSOLUTELY NO WARRANTY.
This is free software, and you are welcome
to redistribute it under certain conditions.
For details, see the file COPYING.
-------------------------------------------------
Norm = 4,   number of elements = 9
Norm = 6,   number of elements = 67
Norm = 8,   number of elements = 378
Norm = 10,   number of elements = 792
Norm = 12,   number of elements = 1800
Norm = 14,   number of elements = 1872
Norm = 16,   number of elements = 1224
Norm = 18,   number of elements = 792
Norm = 20,   number of elements = 432
Norm = 22,   number of elements = 96
using temporary file name /tmp/M2-3729-4

i8 :