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The pK with pole W = (p : q : r) and pivot P = (u : v : w) is a pK60+ if and only if P lies on the Neuberg cubic= K001. Its pole W lies on the cubic Co = K095. The locus of the common point of the asymptotes is the bicircular quartic Q004. The correspondences between W and P are given by the formulas : 

The table shows some remarkable examples of pK60+ with the intersection Q of the asymptotes on Q004. 



Note : when P is one of the Fermat points X(13) or X(14), the pK60+ decomposes into the cevian lines of P. The hessian cubic of a pK60+ is always a focal cubic with singular focus the common point Q of the three asymptotes. 
