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X(2), X(3), X(6), X(14), X(16), X(17), X(299), X(370), X(471), X(559), X(2993), X(5239), X(11126), X(11130), X(30472) midpoints of ABC imaginary foci of the Simmons inconic with real foci X(14), X(16) 2 (not always real) mates of X(370) (red points), see Table 10 

K341b is remarkable since it contains a good number of familiar centers and it is also anharmonically equivalent to the Neuberg cubic. See Table 20. It has the same asymptotic directions as K1053b = pK(X2, X622) which is its anticomplement. It meets the circumcircle at the same points as pK(X6, X299). It is the isotomic transform of K342b = pK(X301, X301), a member of the class CL007. Its isogonal transform is K1145b = pK(X3458, X14) = X(14) x K341b = spK(X299, X395). Simmons inconics are studied here. 
