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D.15.17.22 intersectLattices

Procedure from library multigrading.lib (see multigrading_lib).

Usage:
intersectLattices(A, B); intmat A, intmat B

Purpose:
compute an integral basis for the intersection of the lattices A and B.

Returns:
intmat

Example:
 
LIB "multigrading.lib";
intmat A[3][2] =
1,4,
2,5,
3,6;
intmat B[3][2] =
6,9,
7,10,
8,11;
// should result in a (3x2)-matrix with columns
//  e.g. [0, 3, 6], [-3, 0, 3] (the lattice should be the same)
print(intersectLattices(A,B));
==>      3     0
==>      0     3
==>     -3     6
// another example
intmat C[2][3] =
1,0,0,
3,2,5;
intmat D[2][3] =
4,5,0,
0,5,0;
// should result in a (3x2)-matrix whose columns generate the
// same lattice as [1,5], [0, 20]
print(intersectLattices(C,D));
==>      1     0
==>      5    20