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

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^103 a^10 b^2 c^2+2 a^8 b^4 c^24 a^6 b^6 c^22 a^2 b^10 c^2+2 a^8 b^2 c^4+2 a^4 b^6 c^4+2 a^8 c^64 a^6 b^2 c^6+2 a^4 b^4 c^6a^2 b^6 c^6+b^8 c^6+b^6 c^8+a^4 c^102 a^2 b^2 c^10 : : , SEARCH = 2.06284314778279. 
