x_1, x_2, x_3, x_4, x_5, 
x_1*(117*x_2+20*x_4)
-210*x_2
-175*x_3
-210*x_4
105*x_1*x_2
-70*x_1*x_4
-35*x_1*x_4
117*x_1*x_4
-35*x_1*x_5
-x_1*(10*x_1*x_2+117*x_2+20*x_4+144*x_5)
-105*x_2*(x_1+2)
35*x_4*(-3+x_1)
-105*x_4*(1+x_1)
105*x_1*x_5-420*x_2
70*x_1*x_5-210*x_2
35*x_1*x_5-70*x_2
-420*x_3+105*x_4
-315*x_3+210*x_4
105*x_4-70*x_3
105*x_1*x_3+234*x_4
-210*x_1*x_2-105*x_1*x_5-210*x_2
105*x_1*x_3+70*x_1*x_4-216*x_3
-105*x_1*x_3-144*x_1*x_4-105*x_3
-105*x_1*x_2-70*x_1*x_5-70*x_2
210*x_1*x_3+105*x_1*x_4-234*x_3+216*x_4
-105*x_1*x_3+20*x_1*x_4-105*x_3-234*x_4
10*x_1^2*x_5-20*x_1*x_2-117*x_1*x_5-30*x_4
210*x_1*x_2+117*x_1*x_5-234*x_2+30*x_4
117*x_1*x_3+144*x_1*x_4+20*x_1*x_5-30*x_2
105*x_1*x_2+144*x_1*x_5-288*x_2-20*x_3
-10*x_1^2*x_3-117*x_1*x_3-20*x_1*x_5+10*x_2-72*x_3
10*x_1^2*x_4-210*x_1*x_3-117*x_1*x_4-210*x_3-216*x_4
