# LatticeReduce question

Does LatticeReduce work with arbitrary precision arithmetic? That is, if I give it a linearly independent integer basis, but the integers are 40 decimal digits long and SVD says the largest singular value is 10^16 times larger than the smallest singular value, will it still give me a good LLL reduced basis?

• Try it and see! – David G. Stork Dec 14 '15 at 21:32
• Yes and yes, in that order. – Daniel Lichtblau Dec 14 '15 at 21:32
• Of course, you need to indicate the precision of all the numbers you use in order for Mathematica to actually apply arbitrary precision arithmetic. – Sjoerd C. de Vries Dec 14 '15 at 21:46