CVXPY
Maximize
  Sum(X * [[2.00 1.00]
 [-2.00 -4.00]], None, False)
Subject To
 14: norm1(X) <= 6.0
Bounds
 X free
End
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AFTER COMPILATION
Minimize
  - 2 x_0 + 2 x_1 - x_2 + 4 x_3
Subject To
 R0: x_0 - x_4 <= 0
 R1: x_1 - x_5 <= 0
 R2: x_2 - x_6 <= 0
 R3: x_3 - x_7 <= 0
 R4: - x_0 - x_4 <= 0
 R5: - x_1 - x_5 <= 0
 R6: - x_2 - x_6 <= 0
 R7: - x_3 - x_7 <= 0
 R8: x_4 + x_5 + x_6 + x_7 <= 6
Bounds
 x_0 free
 x_1 free
 x_2 free
 x_3 free
 x_4 free
 x_5 free
 x_6 free
 x_7 free
End
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GUROBI
Maximize
  2 X[0,0] + X[0,1] - 2 X[1,0] - 4 X[1,1]
Subject To
 14: norm1_1 <= 6
Bounds
 X[0,0] free
 X[0,1] free
 X[1,0] free
 X[1,1] free
General Constraints
 GC0: norm1_1 = NORM ( 1 ) ( X[0,0] , X[0,1] , X[1,0] , X[1,1] )
End