CVXPY
Maximize
  Sum(x * [ 1.00005 -0.99995], None, False)
Subject To
 14: norm1(x) <= 1.4142135623730951
Bounds
 x free
End
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AFTER COMPILATION
Minimize
  - 1.00005 x_0 + 0.99995 x_1
Subject To
 R0: x_0 - x_2 <= 0
 R1: x_1 - x_3 <= 0
 R2: - x_0 - x_2 <= 0
 R3: - x_1 - x_3 <= 0
 R4: x_2 + x_3 <= 1.414213562373095
Bounds
 x_0 free
 x_1 free
 x_2 free
 x_3 free
End
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GUROBI
Maximize
  1.00005 x[0] - 0.99995 x[1]
Subject To
 14: norm1_1 <= 1.414213562373095
Bounds
 x[0] free
 x[1] free
General Constraints
 GC0: norm1_1 = NORM ( 1 ) ( x[0] , x[1] )
End