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!!!