CVXPY
Maximize
  Sum(x, None, False)
Subject To
 21: QuadForm(x, [[4.00 6.00]
 [6.00 10.00]]) <= 1.0
Bounds
 0.0 <= x
End
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AFTER COMPILATION
OBJECTIVE
  Sense            : minimize
VARIABLES
  [continuous] <x_0>: obj=-1, original bounds=[0,+inf]
  [continuous] <x_1>: obj=-1, original bounds=[0,+inf]
  [continuous] <x_2>: obj=0, original bounds=[-inf,+inf]
  [continuous] <soc_t_1>: obj=0, original bounds=[0,+inf]
  [continuous] <soc_t_2>: obj=0, original bounds=[-inf,+inf]
  [continuous] <soc_t_3>: obj=0, original bounds=[-inf,+inf]
  [continuous] <soc_t_4>: obj=0, original bounds=[-inf,+inf]
CONSTRAINTS
  [linear] <c1>:  +4<x_2>[C] <= 1;
  [linear] <c2>: <soc_t_1>[C] -<x_2>[C] == 1;
  [linear] <c3>: <soc_t_2>[C] +<x_2>[C] == 1;
  [linear] <c4>: <soc_t_3>[C] -2<x_0>[C] -3<x_1>[C] == 0;
  [linear] <c5>: <soc_t_4>[C] -<x_1>[C] == 0;
  [nonlinear] <c6>: <soc_t_2>*<soc_t_2>+<soc_t_3>*<soc_t_3>+<soc_t_4>*<soc_t_4>-<soc_t_1>*<soc_t_1> <= 0;
END
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SCIP
OBJECTIVE
  Sense            : maximize
VARIABLES
  [continuous] <x_0>: obj=1, original bounds=[0,+inf]
  [continuous] <x_1>: obj=1, original bounds=[0,+inf]
CONSTRAINTS
  [nonlinear] <21>: 4*<x_0>*<x_0>+12*<x_0>*<x_1>+10*<x_1>*<x_1> <= 1;
END