CVXPY
Minimize
  QuadForm(x, [[4.00 6.00]
 [6.00 10.00]])
Subject To
Bounds
 x free
End
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AFTER COMPILATION
Minimize
 Obj: +13.7082039324994 x_0
Subject to
 c1: +1 soc_t_0 -1 x_0 = +1
 c2: +1 soc_t_1 +1 x_0 = +1
 c3: +1 soc_t_2 +0.248216560693358 x_1 -0.153406271079096 x_2 = +0
 c4: +1 soc_t_3 -1.05146222423827 x_1 -1.70130161670408 x_2 = +0
 c5: + [ +1 soc_t_1 * soc_t_1 +1 soc_t_2 * soc_t_2 +1 soc_t_3 * soc_t_3 -1 soc_t_0 * soc_t_0 ] <= +0
Bounds
 x_0 free
 x_1 free
 x_2 free
 soc_t_1 free
 soc_t_2 free
 soc_t_3 free
End
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SCIP
Minimize
 Obj: +1 x3
Subject to
 c1: +1 x3 + [ -4 x_0 * x_0 -12 x_0 * x_1 -10 x_1 * x_1 ] >= +0
Bounds
 x_0 free
 x_1 free
 x3 free
End