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

X(1023), X(2087), X(14835) vertices A', B', C' of the cevian triangle of X(1) F see below 

K560 = psK(X14637, X1, X1023) is a cuspidal pseudopivotal cubic with cusp X(2087) and cuspidal tangent passing through X(244). This is also the tangent at X(244) to the inconic with perspector X(1). The other tangent to this inconic drawn through X(2087) meets the cubic again at the real inflexion point F = X(14835). 
