x_1, x_2, x_3, x_4, x_5, 
-120*x_1*x_2
320*x_1*x_2
360*x_1*x_2
-120*x_1*x_3
320*x_1*x_3
360*x_1*x_3
-180*x_1*x_4
-160*x_1*x_4
-90*x_1*x_4
-80*x_1*x_4
120*x_1*x_4
-180*x_1*(x_1*x_5-4*x_2)
120*x_1*(x_1*x_5-3*x_2)
-90*x_1*(x_1*x_5-2*x_2)
-80*x_1*(x_1*x_5-2*x_2)
45*x_1*(x_1*x_5-2*x_2)
-240*x_1^2*x_2
-135*x_1^2*x_2
-45*x_1^2*x_2
80*x_1^2*x_2
450*x_1^2*x_2
-240*x_1^2*x_3
-135*x_1^2*x_3
-45*x_1^2*x_3
80*x_1^2*x_3
450*x_1^2*x_3
-360*x_1^2*x_4
-180*x_1^2*x_4
-135*x_1^2*x_4
-90*x_1^2*x_4
-80*x_1^2*x_4
-45*x_1^2*x_4
120*x_1^2*x_4
135*x_1^2*(x_1*x_5-5*x_2)
-45*x_1^2*(x_1*x_5-3*x_2)
40*x_1^2*(x_1*x_5-3*x_2)
-90*x_1^2*(2*x_1*x_5-7*x_2)
-405*x_1^3*x_2
-40*x_1^3*x_2
45*x_1^3*x_2
270*x_1^3*x_2
-405*x_1^3*x_3
-40*x_1^3*x_3
45*x_1^3*x_3
270*x_1^3*x_3
-180*x_1^3*x_4
-45*x_1^3*x_4
40*x_1^3*x_4
135*x_1^3*x_4
270*x_1^3*x_4
90*x_1^3*(x_1*x_5-5*x_2)
-45*x_1^3*(x_1*x_5-4*x_2)
-135*x_1^4*x_2
45*x_1^4*x_2
-45*x_1^4*x_4
90*x_1^4*x_4
9*x_1^4*(x_1*x_5-5*x_2)
-9*x_1^5*x_2
-9*x_1^5*x_3
9*x_1^5*x_4
-135*x_3*x_1^4
45*x_3*x_1^4
-80*x_1*x_5+240*x_2
