x^6 + 3*x^4 - 12*x^3 + 37*x^2 - 18*x + 36
x^6 - x^5 + 12*x^4 + 90*x^3 + 232*x^2 - 34*x + 55
x^6 - x^5 + 12*x^4 - 188*x^3 - 46*x^2 + 1356*x + 1723