If somebody could help me with the following problem I would appreciate it!

Let V=QQ^n be an n-dimensional vector space over the rationals, equipped 
with a symmetric bilinear form B (given by its evaluation on the standard 
basis vectors of QQ^n).

Assume given v1,..,vm in V. I would like to construct the IntegralLattice 
spanned
by the (vi)_i, equipped with the restriction of the bilinear form B. If it 
helps: v1, ..., vm generate V.

Any ideas on how to do this in a nice way?


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