Algebraic curves in the plane

An algebraic curve in is defined by one equation of the form:

where is a polynomial with coefficieints in .

1.Example

Here is an image of the curve defined by the equation

2.Axel format

<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>