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X(2), X(7), X(8), X(279), X(291), X(508), X(516), X(673), X(3008)

P = X(9436) = X(7)÷X(673), pivot

infinite points of the Steiner ellipse

vertices of the anticevian triangle of X(508)

A'B'C' = cevian triangle of P

K623 is an example of pK that contains several powers of its pole Ω. See CL041.

Here Ω = X(7), Ω^2 = X(279), Ω^(-1) = X(8), Ω^0 = X(2), Ω^(1/2) = X(508).