File: LatInter1.in

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#INtersection of these two linear lattices
M 2
4 4
2 18 4 0
5 60 10 0
1 2 3 0
0 0 0 1
4 4
2 20 16 0
15 15 10 0
1 7 8 0
0 0 0 1
D 0
F 3

result should be {{2, 0, 0}, {5, 15, 0}, {13, 15, 66}}