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Fast Hermite Normal Form over ZZ

Mathematica code: 

sage: mathematica.eval('a = Table[RandomInteger[{0,9}], {i,200}, {j,200}];')

sage: mathematica.eval('Timing[HermiteDecomposition[a];]')
        {98.9791, Null}

Maple code: 

n := 200: k := 9: A := RandomMatrix(n,n,generator=rand(-k..k)): time( HermiteForm(A,output=['H', 'U']) );