## X(3124) (DANNEELS PERSPECTOR FOR X(76))

 Information from Kimberling's Encyclopedia of Triangle Centers

Trilinears            f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) = a(b2 - c2)2
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(3124) lies on these lines:
2,694    6,110    23,1691    25,1501    39,373    42,2054    51,1196    115,125    237,2021    244,661    351,865    394,2987    593,2248    1193,2653    1495,1692    1506,3118    1613,3060    1994,2056    2092,3030    2501,2970    2679,3005

X(3124) = X(I)-Ceva conjugate of X(J) for these I,J: 2,3005    6,512    26,669    76,523    83,2514    111,351    755,2872    2207,2489    2248,649    3125,2643

X(3124) = X(I)-cross conjugate of X(J) for these I,J: 1084,2971    2679,2086
X(3124) = crosspoint of X(I) and X(J) for these I,J: 6,512    25,2501    76,523    647,2351    661,756    2207,2489    3122,3125
X(3124) = crosssum of X(I) and X(J) for these I,J: 2,99    6,1634    32,110    112,459    317,648    662,757
X(3124) = X(I)-line conjugate of X(J) for these I,J: 6,110    111,110
X(3124) = crossdifference of every pair of points on the line X(99)X(110)

This is a joint work of
Humberto José Bortolossi, Lis Ingrid Roque Lopes Custódio and Suely Machado Meireles Dias.