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X(3), X(4), X(3091), X(3527)

X3-OAP points, see Table 53

points of pK(X6, X3091) on (O)

K813 is a cubic passing through the X3-OAP points, see Table 53.

It is also psK(X3527, X8797, X3).

K813 is a member of the pencils generated by :

K006, K026 all passing through the X3-OAP points,

K002, K028 all tangent at A, B, C to the symmedians and tangent at X(4) passing through X(64).