x_1, x_2, x_3, x_4, x_5, x_6, x_7, x_8, x_9, 
x_1^2+x_2^2+x_3^2-12*x_1-68
x_4^2+x_5^2+x_6^2-12*x_5-68
x_7^2+x_8^2+x_9^2-24*x_8-12*x_9+100
x_1*x_4+x_2*x_5+x_3*x_6-6*x_1-6*x_5-52
x_1*x_7+x_2*x_8+x_3*x_9-6*x_1-12*x_8-6*x_9+64
x_4*x_7+x_5*x_8+x_6*x_9-6*x_5-12*x_8-6*x_9+32
x_1+x_3-2*x_4+x_5-x_6+2*x_7-2*x_8+8
2*x_2+2*x_3-x_4-x_5-2*x_6-x_7-x_9+18
x_1+x_2+2*x_3+2*x_4+2*x_6-2*x_7+x_8-x_9-38
