X(73157) = X(3)X(66)∩X(4)X(187)
Barycentrics -5*a^8+8*a^6*b^2-8*a^4*b^4+4*a^2*b^6+b^8+8*a^6*c^2-4*a^4*b^2*c^2-4*a^2*b^4*c^2-8*a^4*c^4-4*a^2*b^2*c^4-2*b^4*c^4+4*a^2*c^6+c^8 : :X(73157) = 2*X[2]-X[7694], 5*X[2]-X[53016], 5*X[7694]-2*X[53016], 4*X[3]-X[8721], 2*X[3]+X[59363], X[8721]+2*X[59363], 2*X[5]-X[53017], X[20]+X[46034], X[376]+X[53015], 3*X[7618]-4*X[9734], 2*X[549]-X[64711], X[3424]+3*X[10304], 3*X[3524]-X[7710], X[7758]-4*X[9737], 2*X[8703]-X[8719], 2*X[14162]-3*X[32414], X[15428]-5*X[19708]
Marian Cucoanes and Francisco Javier García Capitán, euclid 10442.
X(73157) lies on these lines: {2, 2794}, {3, 66}, {4, 187}, {5, 53017}, {20, 1078}, {30, 7610}, {32, 14853}, {39, 14912}, {69, 18860}, {98, 2549}, {147, 8350}, {183, 54996}, {216, 41719}, {376, 9466}, {381, 37809}, {441, 61735}, {511, 13085}, {516, 49608}, {542, 7618}, {549, 64711}, {574, 6776}, {631, 7874}, {1384, 5480}, {1513, 21843}, {1899, 37457}, {2080, 31670}, {2387, 54032}, {2482, 11180}, {2548, 36998}, {3053, 53023}, {3091, 7857}, {3096, 3523}, {3148, 61506}, {3424, 10302}, {3524, 7710}, {3564, 34511}, {3734, 38747}, {3785, 30270}, {3793, 11477}, {3818, 47113}, {5024, 8550}, {5085, 8359}, {5171, 29317}, {5188, 18906}, {5210, 36990}, {5418, 13749}, {5420, 13748}, {5486, 9142}, {5596, 10979}, {5870, 33362}, {5871, 33363}, {5921, 14981}, {5965, 7758}, {5999, 14907}, {6118, 37343}, {6119, 37342}, {6390, 15069}, {6671, 33419}, {6672, 33418}, {6794, 34156}, {7612, 54713}, {7697, 38742}, {7737, 13860}, {7739, 9755}, {7749, 36997}, {7763, 9863}, {7771, 37182}, {7810, 10519}, {7820, 40330}, {7944, 10303}, {8369, 10516}, {8589, 39874}, {8703, 8719}, {8787, 11171}, {9744, 9862}, {9753, 21445}, {10317, 61748}, {11151, 47061}, {11623, 43448}, {12042, 37242}, {12203, 32965}, {13083, 41023}, {13084, 41022}, {13086, 29012}, {13200, 67314}, {13335, 38317}, {14023, 34380}, {14162, 32414}, {14561, 37345}, {14900, 41370}, {15428, 19708}, {15561, 55007}, {15692, 31168}, {15905, 23326}, {16658, 52276}, {18382, 18472}, {18581, 41034}, {18582, 41035}, {19661, 38072}, {21163, 25406}
X(73157) = midpoint of X(i) and X(j) for these {i,j}: {20, 46034}, {376, 53015}
X(73157) = reflection of X(i) in X(j) for these {i,j}: {7694, 2}, {8719, 8703}, {53017, 5}, {64711, 549}
X(73157) = intersection, other than A, B, C, of the circumconics: {{A,B,C,X(66),X(60140)}, {A,B,C,X(7607),X(14376)}, {A,B,C,X(7694),X(46145)}}
X(73157) = center in triangles: {X(5485)-of-McCay triangle, X(53015)-of-1st Brocard triangle, X(53017)-of-Johnson triangle}
X(73157) = center of circle {X(i),X(j),X(k)} for these {i,j,k}: {2, 56438, 67636}, {20, 46034, 67662}, {376, 53015, 67640}
X(73157) = pole of line {525, 32599} with respect to the circumcircle
X(73157) = pole of line {47740, 63082} with respect to the Moses circles radical circle
X(73157) = pole of line {2799, 44554} with respect to the orthoptic circle of Steiner circumellipse
X(73157) = pole of line {2799, 30474} with respect to the orthoptic circle of Steiner inellipse
X(73157) = pole of line {525, 11179} with respect to the Warren reflection circle
X(73157) = pole of line {43291, 48876} with respect to the Evans conic
X(73157) = pole of line {3767, 8550} with respect to the Kiepert hyperbola
X(73157) = pole of line {511, 53418} with respect to the Pythagorean hyperbola
X(73157) = pole of line {22, 18860} with respect to the Stammler hyperbola
X(73157) = pole of line {232, 378} with respect to the Stammler reflection hyperbola
X(73157) = pole of line {64919, 65754} with respect to the orthoptic circle of orthocentroidal circle
X(73157) = pole of tripolar of X(327) with respect to the orthoptic circle of orthoptic circle of the Steiner Inellipse
X(73157) = pole of line {42733, 64919} with respect to the orthoptic circle of Yff hyperbola
X(73157) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 1352, 69206}, {3, 59363, 8721}, {4, 62992, 67872}, {574, 10991, 6776}, {5921, 69424, 14981}, {21445, 55008, 9753}, {25406, 33215, 21163}, {36998, 37334, 2548}
