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I wish to calculate the width of the certain polytopes, the data for these polytopes can be found here.

For example, the first one is

3 4 M:5 4 N:35 4 Pic:19 Cor:0

1    0    0   -1
0    1    0   -1
0    0    1   -1

However, only the number in the matrix will be used in the calculation. My questions are:

(1) How to input these data in SAGE (I use a windows system, and run Virtualbox for SAGE)?

(2) How to use sage to deal with each matrix?

For each of matrix, I have a program as the follows

sage: m = matrix(ZZ, [[1,0,0,-1], [0,1,0,-1], [0,0,1,-1]])

sage: p = LatticePolytope(m)

sage: d = p.distances()

sage: l = p.nfacets()

sage: for i in range(l):

  max(d.row(i))

After input the data, how to let sage use the same program deal with each matrix?

Thank you very much for your help!!!

I wish to calculate the width of the certain polytopes, the data for these polytopes can be found here. (please click "K3/3d" on the left, and then click "list of all 4319" on the top of new page, for some reason, I could not cite the exact URL).

For example, the first one is

3 4 M:5 4 N:35 4 Pic:19 Cor:0

1    0    0   -1
0    1    0   -1
0    0    1   -1

However, only the number in the matrix will be used in the calculation. My questions are:

(1) How to input these data in SAGE (I use a windows system, and run Virtualbox for SAGE)?

(2) How to use sage to deal with each matrix?

For each of matrix, I have a program as the follows

sage: m = matrix(ZZ, [[1,0,0,-1], [0,1,0,-1], [0,0,1,-1]])

sage: p = LatticePolytope(m)

sage: d = p.distances()

sage: l = p.nfacets()

sage: for i in range(l):

  max(d.row(i))

After input the data, how to let sage use the same program deal with each matrix?

Thank you very much for your help!!!

I wish to calculate the width of the certain polytopes, the data for these polytopes can be found here (please click "K3/3d" on the left, and then click "list of all 4319" on the top of new page, for some reason, I could not cite the exact URL).

For example, the first one is

3 4 M:5 4 N:35 4 Pic:19 Cor:0

1    0    0   -1
0    1    0   -1
0    0    1   -1

However, only the number in the matrix will be used in the calculation. My questions are:

(1) How to input these data in SAGE (I use a windows system, and run Virtualbox for SAGE)?

(2) How to use sage to deal with each matrix?

For each of matrix, I have a program as the follows

sage: m = matrix(ZZ, [[1,0,0,-1],
 ....:        [0,1,0,-1],
                [0,0,1,-1]])
 
....:        [0,0,1,-1]])
sage: p = LatticePolytope(m)
 
LatticePolytope(m)
sage: d = p.distances()
 
p.distances()
sage: l = p.nfacets()
 
p.nfacets()
sage: for i in range(l):
 
range(l):
....:     max(d.row(i))
 
After input the data, how to let sage use the same program deal with each matrix?
 
Thank you very much for your help!!!