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

X(3), X(15), X(16), X(64), X(74), X(1294)* isogonal conjugates of the CPCC or Hcevian points, see Table 11 

K523 is the isogonal transform of K313. It is a circular cubic belonging to the pencil generated by the Neuberg cubic and the union of the circumcircle and the Brocard axis. This also contains K073, K114 and K524. The singular foci lie on the circle through X(3), X(23), X(98), X(110), X(2080). That of K523 is X(14673). 
