x_1, x_2, x_3, x_4, x_5, 
-48*x_3
-108*x_1*x_2
-81*x_1*x_2
64*x_1*x_2
324*x_1*x_2
-288*x_1*x_3
-108*x_1*x_3
-81*x_1*x_3
324*x_1*x_3
-16*x_1*x_5
81*x_1*(x_1*x_5-3*x_2+x_5)
27*x_1*(x_1^2*x_5-3*x_1*x_2+3*x_1*x_5-6*x_2+2*x_5)
-162*x_1^2*x_2
-162*x_1^2*x_3
-72*x_2*(-3+4*x_1)
144*x_2*(7*x_1+3)
8*x_3*(8*x_1+9)
72*x_3*(14*x_1+3)
81*x_4*(1+x_1)
-36*x_4*(7*x_1-3)
-27*x_1*x_2*(x_1^2+3*x_1-1)
-27*x_1*x_3*(x_1^2+3*x_1-1)
81*x_1*x_4*(1+x_1)
27*x_1*x_4*(x_1^2+3*x_1+2)
72*x_1*x_5-144*x_2
-252*x_1*x_5+1008*x_2
-16*x_1*x_4+72*x_3-36*x_4
72*x_1*x_4+252*x_3+108*x_4
81*x_1^2*x_4+324*x_1*x_3+162*x_1*x_4+81*x_4
