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K549

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vertices of the first and third Brocard triangles

K549 is a cubic of the pencil generated by K017 and K020.

It has three concurring asymptotes at X on the line X(2)X(694) with barycentrics 2 a^8 b^6+a^4 b^10-3 a^10 b^2 c^2+2 a^8 b^4 c^2-4 a^6 b^6 c^2-2 a^2 b^10 c^2+2 a^8 b^2 c^4+2 a^4 b^6 c^4+2 a^8 c^6-4 a^6 b^2 c^6+2 a^4 b^4 c^6-a^2 b^6 c^6+b^8 c^6+b^6 c^8+a^4 c^10-2 a^2 b^2 c^10 : : , SEARCH = -2.06284314778279.