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Wiman's sextic
Mathematical plane curve
Mathematical plane curve
In mathematics, Wiman's sextic is a degree 6 plane curve with four nodes studied by . It is given by the equation (in homogeneous coordinates) :x^6+y^6+z^6 + (x^2+y^2+z^2)(x^4+y^4+z^4)=12 x^2y^2z^2 Its normalization is a genus 6 curve with automorphism group isomorphic to the symmetric group S5.
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