<\body> An algebraic curve in > is defined \ by one equation of the form: <\equation*> f(x,y)=0 where is a polynomial with coefficieints in >.\ Here is an image of the curve defined by the equation <\eqnarray*> +x-7 xy+21 xy-35 xy+35 xy-21 xy+7 x y-y>||>|- 7 x+35 \ xy -70 xy+ 70 x y-35 x y + 7y>||>|+14 x-42 xy +42 x y-14 y+16 y-7 x - 7y-2>||>>> <\with|par-mode|center> <\cpp-fragment> \curve type="implicit" name="nice_curve_10"\ \ \ \domain\-4.1 4.2 -3.1 3\/domain\ \ \ \polynomial\-y^8+x^7-7*x^6*y+21*x^5*y^2-35*x^4*y^3+35*x^3*y^4 -21*x^2*y^5+7*x*y^6-y^7+8*y^6-7*x^5+35*x^4*y-70*x^3*y^2+70*x^2*y^3 -35*x*y^4+7*y^5-20*y^4+14*x^3-42*x^2*y+42*x*y^2-14*y^3+16*y^2 -7*x+7*y-2\/polynomial\ \/curve\ \;