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

X(1), X(2), X(6), X(241), X(294), X(948), X(949), X(2303), X(2303)* 

K689 is a member of the class CL061. See also Table 69. It is an unicursal isogonal cubic with node the incenter X(1), the locus of M such that M and its isogonal conjugate M* are conjugate points with respect to the circle (C) passing through X(1). The figure shows the (dashed brown) polar of X(241) passing through X(294), the isogonal conjugate of X(241). 
