z

X(72244) = X(103)X(39558)∩X(104)X(56763)

Barycentrics    a^2*(a - b)*(a - c)*(a^3 - a^2*b - a*b^2 + b^3 + a^2*c + 2*a*b*c + b^2*c - a*c^2 - b*c^2 - c^3)*(a^3 + a^2*b - a*b^2 - b^3 - a^2*c + 2*a*b*c - b^2*c - a*c^2 + b*c^2 + c^3)*(a^5 + a^4*b - 2*a^3*b^2 - 2*a^2*b^3 + a*b^4 + b^5 - 2*a^4*c + 2*a^3*b*c + 2*a*b^3*c - 2*b^4*c + 2*a^2*c^3 - 2*a*b*c^3 + 2*b^2*c^3 - a*c^4 - b*c^4)*(a^5 - 2*a^4*b + 2*a^2*b^3 - a*b^4 + a^4*c + 2*a^3*b*c - 2*a*b^3*c - b^4*c - 2*a^3*c^2 + 2*b^3*c^2 - 2*a^2*c^3 + 2*a*b*c^3 + a*c^4 - 2*b*c^4 + c^5) : :

Antreas Hatzipolakis and Peter Moses, euclid 9357.

X(72244) lies on the circumcircle and these lines: {103, 39558}, {104, 56763}, {108, 14298}, {109, 10397}, {652, 8059}, {934, 64885}, {971, 67768}, {1436, 53911}, {2272, 67772}, {3900, 40117}, {32625, 53915}, {36049, 53622}

X(72244) = isogonal conjugate of X(55144)
X(72244) = X(i)-isoconjugate of X(j) for these (i,j): {1, 55144}, {971, 14837}, {2272, 17896}, {8058, 43044}, {14298, 51364}
X(72244) = X(3)-Dao conjugate of X(55144)
X(72244) = trilinear pole of line {6, 32652}
X(72244) = barycentric product X(i)*X(j) for these {i,j}: {972, 13138}, {32652, 46137}
X(72244) = barycentric quotient X(i)/X(j) for these {i,j}: {6, 55144}, {972, 17896}, {8059, 51364}, {32652, 971}

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