x_1, x_2, x_3, x_4, x_5, 
x_1+x_2
37*x_1^7-204*x_1^6+488*x_1^5-628*x_1^4+648*x_1^3-524*x_1^2+280*x_1+11*x_4-40
19*x_1^7-100*x_1^6+228*x_1^5-277*x_1^4+284*x_1^3-212*x_1^2+109*x_1+11*x_3-14
-37*x_1^7+204*x_1^6-488*x_1^5+628*x_1^4-648*x_1^3+524*x_1^2-280*x_1+11*x_5+40
x_1^8-6*x_1^7+16*x_1^6-24*x_1^5+27*x_1^4-24*x_1^3+16*x_1^2-6*x_1+1
