CVXPY
Maximize
  Sum(x, None, False)
Subject To
 27: QuadForm(x, [[np.float64(4.0) np.float64(6.0)]
 [np.float64(6.0) np.float64(10.0)]]) <= 1.0
Bounds
 0.0 <= x
End
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AFTER COMPILATION
Minimize
  - x_0 - x_1
Subject To
 R0: x_2 <= 1
 R1: - x_2 + soc_t_1 = 1
 R2: x_2 + soc_x_2 = 1
 R3: - 4 x_0 - 6 x_1 + soc_x_3 = 0
 R4: - 2 x_1 + soc_x_4 = 0
 qc0: [ - soc_t_1 ^2 + soc_x_2 ^2 + soc_x_3 ^2 + soc_x_4 ^2 ] <= 0
Bounds
 x_2 free
 soc_x_2 free
 soc_x_3 free
 soc_x_4 free
End
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GUROBI
Maximize
  x[0] + x[1]
Subject To
 27: [ 4 x[0] ^2 + 12 x[0] * x[1] + 10 x[1] ^2 ] <= 1
Bounds
End