x_1, x_10, x_11, x_12, x_2, x_3, x_4, x_5, x_6, x_7, x_8, x_9, 
-x_10^2
-x_12^2
-x_3^2
-2*x_10*x_11
-2*x_11*x_12
-2*x_2*x_3
-2*x_3*x_6
-2*x_9*x_12
-2*x_10*x_7+x_11
-x_1^2+x_4
-2*x_1*x_2+x_5
-2*x_10*x_12-x_11^2
-2*x_3*x_9-x_6^2
-2*x_1*x_4+2*x_7
-2*x_11*x_9-2*x_12*x_8
-2*x_2*x_6-2*x_3*x_5
-2*x_12*x_3-2*x_6*x_9
-2*x_12*x_6-x_9^2
-2*x_1*x_3-x_2^2+x_6
-2*x_1*x_10-2*x_4*x_7+x_5
-2*x_10*x_8-2*x_11*x_7+2*x_12
-2*x_10*x_4-x_7^2+x_8
-2*x_1*x_5-2*x_2*x_4+2*x_8
-2*x_10*x_9-2*x_11*x_8-2*x_12*x_7
-2*x_2*x_9-2*x_3*x_8-2*x_5*x_6
-2*x_11*x_6-2*x_12*x_5-2*x_8*x_9
-2*x_1*x_7-x_4^2+3*x_10+x_2
-2*x_1*x_6-2*x_2*x_5-2*x_3*x_4+2*x_9
-2*x_10*x_5-2*x_11*x_4-2*x_7*x_8+2*x_9
-2*x_11*x_3-2*x_12*x_2-2*x_5*x_9-2*x_6*x_8
-2*x_1*x_11-2*x_10*x_2-2*x_4*x_8-2*x_5*x_7+2*x_6
-2*x_1*x_8-2*x_2*x_7-2*x_4*x_5+3*x_11+2*x_3
-2*x_10*x_6-2*x_11*x_5-2*x_12*x_4-2*x_7*x_9-x_8^2
-2*x_1*x_9-2*x_2*x_8-2*x_3*x_7-2*x_4*x_6-x_5^2+3*x_12
-2*x_1*x_12-2*x_10*x_3-2*x_11*x_2-2*x_4*x_9-2*x_5*x_8-2*x_6*x_7
