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X(4), X(6), X(23), X(671), X(3534), X(7712), X(11645), X(14388), X(14458), X(14479) F1 = reflection of O in the singular focus F = X(11636) Ua*, Ub*, Uc* mentioned in the Neuberg cubic page. See also table 16 and table 18. 

K330 and its isogonal transform K914 are two circular circumcubics sharing the same singular focus F = X(11636). They generate a pencil of cubics having the same property. This contains the decomposed cubic into the line at infinity and the circumcircle (O), also pK(X6, X11645). K914 meets • the Euler line at X(4), X(23), X(3534), • (O) at A, B, C, the circular points at infinity, F' = X(14388) = X(11645)*, • the circle C(O, 2R) at Ua*, Ub*, Uc*, F1, the circular points at infinity, • the Kiepert hyperbola at A, B, C, X(4), X(671), X(14458). • the Neuberg cubic K001 at A, B, C, X(4), Ua*, Ub*, Uc*, the circular points at infinity, • K330 at A, B, C, X(11645), F' = X(14388) and the circular points at infinity each counted twice.
