ETC1

X(73910) = X(2)X(9705)∩X(3)X(41586)

Barycentrics    2*a^10-6*a^8*b^2+7*a^6*b^4-5*a^4*b^6+3*a^2*b^8-b^10-6*a^8*c^2+11*a^4*b^4*c^2-8*a^2*b^6*c^2+3*b^8*c^2+7*a^6*c^4+11*a^4*b^2*c^4+10*a^2*b^4*c^4-2*b^6*c^4-5*a^4*c^6-8*a^2*b^2*c^6-2*b^4*c^6+3*a^2*c^8+3*b^2*c^8-c^10 : :
X(73910) = 3*X[2]+X[10116], X[3]+3*X[43573], X[3]+X[58806], 3*X[43573]-X[58806], X[5]+X[18128], 2*X[40240]-3*X[58807], 3*X[6689]+X[32377], 3*X[140]+X[11264], X[143]-3*X[32068], 9*X[373]-X[64036], 3*X[547]+X[45732], 3*X[549]+X[10112], 5*X[631]+3*X[61713], X[44862]+2*X[50476], X[1216]+3*X[11245], X[1885]+3*X[40647], 3*X[3819]+X[32358], X[5446]+X[17712], X[5447]+X[13292], 3*X[5462]-X[6756], X[5462]-3*X[45298], X[6756]-9*X[45298], 3*X[5892]+X[6146], 3*X[5946]+X[44829], X[32142]+X[32165], X[6101]+3*X[11225], X[6240]-9*X[9730], X[6243]-9*X[61712], X[10114]+3*X[34128], 5*X[10574]-X[43577], X[10627]+3*X[45969], X[11232]+3*X[64730], X[11565]+3*X[12006], X[11750]+7*X[15043], X[11793]+X[43588], X[12370]+3*X[16836], X[12897]+3*X[64100], 3*X[13364]-X[67322], X[13382]+X[52073], X[13419]-5*X[15026], X[13421]+3*X[60749], X[14449]-3*X[61677], X[14641]+3*X[16657], 9*X[14845]-X[16659], X[16656]-2*X[44871], 9*X[40280]-X[72735]

Antreas Hatzipolakis and Ercole Suppa, euclid 10288.

X(73910) lies on these lines: {2, 9705}, {3, 41586}, {4, 12834}, {5, 18128}, {30, 12002}, {54, 14156}, {125, 6689}, {140, 539}, {143, 32068}, {182, 5449}, {373, 64036}, {542, 3628}, {547, 45732}, {549, 10112}, {569, 18911}, {575, 13371}, {631, 61713}, {1154, 44862}, {1173, 5189}, {1199, 51392}, {1209, 43808}, {1216, 11245}, {1503, 23411}, {1568, 43845}, {1885, 40647}, {1899, 14786}, {3153, 43600}, {3542, 64049}, {3574, 15037}, {3819, 32358}, {4550, 18909}, {5012, 14940}, {5055, 56516}, {5092, 63734}, {5446, 17712}, {5447, 13292}, {5462, 6756}, {5892, 6146}, {5946, 44829}, {5965, 32142}, {6101, 11225}, {6240, 9730}, {6243, 61712}, {6723, 58407}, {7507, 36752}, {7514, 52104}, {8550, 41597}, {9140, 46865}, {9704, 72733}, {9729, 17702}, {9927, 37514}, {10095, 29012}, {10114, 34128}, {10574, 43577}, {10610, 44673}, {10619, 43809}, {10627, 45969}, {11232, 64730}, {11565, 12006}, {11750, 15043}, {11793, 43588}, {12038, 22966}, {12242, 36153}, {12254, 43584}, {12370, 16836}, {12897, 64100}, {13154, 34507}, {13160, 36253}, {13336, 18912}, {13364, 67322}, {13366, 37452}, {13382, 52073}, {13419, 15026}, {13421, 60749}, {13434, 35482}, {13619, 43603}, {13630, 63683}, {13754, 64038}, {14449, 61677}, {14627, 51360}, {14641, 16657}, {14845, 16659}, {16003, 35500}, {16534, 50143}, {16656, 44871}, {16982, 19924}, {18356, 24206}, {18475, 68720}, {23060, 25338}, {25555, 50138}, {25738, 43650}, {26879, 37513}, {30551, 32267}, {31804, 43586}, {32046, 43839}, {32136, 33749}, {32767, 50664}, {35488, 66609}, {36201, 63697}, {40280, 72735}

X(73910) = midpoint of X(i) and X(j) for these {i,j}: {3, 58806}, {5, 18128}, {5446, 17712}, {5447, 13292}, {11793, 43588}, {13382, 52073}, {32142, 32165}
X(73910) = reflection of X(16656) in X(44871)
X(73910) = QAP1: Quadrangle Centroid of X(10116)
X(73910) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 43573, 58806}, {125, 13353, 6689}, {182, 18952, 5449}, {5012, 43817, 44516}, {32142, 32165, 5965}, {36153, 37938, 12242}

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X(73911) = X(3)X(54)∩X(20)X(45185)

Barycentrics    a^2*(a^8-5*a^6*b^2+9*a^4*b^4-7*a^2*b^6+2*b^8-5*a^6*c^2+19*a^4*b^2*c^2-11*a^2*b^4*c^2-3*b^6*c^2+9*a^4*c^4-11*a^2*b^2*c^4+2*b^4*c^4-7*a^2*c^6-3*b^2*c^6+2*c^8) : :
X(73911) = 2*X[26863]-3*X[43614]

Antreas Hatzipolakis and Ercole Suppa, euclid 10288.

X(73911) lies on these lines: {3, 54}, {20, 45185}, {110, 15644}, {140, 1173}, {323, 13348}, {376, 15083}, {394, 33524}, {576, 61820}, {578, 41462}, {631, 53863}, {930, 43994}, {1092, 38435}, {1147, 6030}, {1216, 14865}, {1350, 11449}, {2071, 15606}, {2889, 44450}, {3146, 14826}, {3292, 16661}, {3518, 10625}, {3523, 67302}, {3525, 5643}, {3627, 54040}, {3628, 59776}, {5198, 15066}, {5447, 13434}, {5562, 13445}, {5876, 16835}, {5888, 13154}, {6243, 43584}, {7998, 37498}, {9706, 67321}, {9970, 55597}, {10303, 15019}, {10594, 64050}, {10982, 44299}, {11004, 13347}, {11403, 15056}, {11440, 37480}, {11444, 35502}, {11591, 43576}, {11592, 14627}, {12100, 43600}, {12103, 14094}, {12111, 41468}, {13336, 13472}, {13340, 17714}, {13346, 33884}, {13391, 18369}, {13564, 43572}, {14130, 72921}, {14157, 63414}, {15004, 61834}, {15062, 23039}, {15582, 41464}, {26863, 43614}, {32142, 37496}, {33923, 43602}, {35479, 37486}, {41597, 52525}, {43652, 62188}, {44245, 63720}, {44879, 68659}, {52093, 58891}, {54173, 66731}, {58922, 71230}

X(73911) = intersection, other than A, B, C, of the circumconics: {{A,B,C,X(54),X(26862)}, {A,B,C,X(11423),X(15318)}}
X(73911) = pole of the line {5, 14862} with respect to Stammler hyperbola
X(73911) = pole of the line {550, 11565} with respect to Stammler reflection hyperbola
X(73911) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 1493, 61134}, {3, 16266, 11423}, {20, 45185, 54036}, {11423, 54041, 3}

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