x_1, x_2, x_3, 
x_2^2+x_3^2-1
-4*x_2^6*x_3^6-12*x_2^4*x_3^8-12*x_2^2*x_3^10-4*x_3^12+4*x_1^4*x_2^2*x_3^4+4*x_1^4*x_3^6+20*x_2^4*x_3^6+40*x_2^2*x_3^8+20*x_3^10-x_1^8-6*x_1^4*x_2^2*x_3^2-10*x_1^4*x_3^4-9*x_2^4*x_3^4-50*x_2^2*x_3^6-41*x_3^8+8*x_1^4*x_3^2+28*x_2^2*x_3^4+44*x_3^6-2*x_1^4-6*x_2^2*x_3^2-26*x_3^4+8*x_3^2-1
