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too complicated to be written here. Click on the link to download a text file. 

X(3), X(4), X(6) antipoints, see Table 77 

Q086 is the isogonal transform of the stelloidal quartic Q085. It follows that Q086 is a quintic meeting the circumcircle at A, B, C (which are nodes on the curve) and at the vertices of a square. 
