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LatticeReduce problem


dln[x_, y_] := Module[{lr},
     lr = LatticeReduce[{x, y}];
     Return[Norm[lr]]
     ]
NMinimize[{dln[{x1, x2}, {y1, y2}],
     MatrixRank[{{x1, x2}, {y1, y2}}] ? 2, {x1, x2, y1, y2} \[Element]
      Integers}, {x1, x2, y1, y2}, Method -> NelderMead]

The message I get is : LatticeReduce::latm: 
Matrix contains entry that is not rational.

Apparently x and y have no value when it comes to LatticeReduce.

Who can help me ?

Best,

Theodor Schlickmann






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