X₁₄₈

STEINER POINT OF ANTICOMPLEMENTARY TRIANGLE

X₁₄₈ = anticomplement of X₉₉

5, 6, 7 3, 4, 5 Kepler Kimberling

X₁₄₈ (STEINER POINT OF ANTICOMPLEMENTARY TRIANGLE) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

• Central Lines: {2, 99}, {20, 98}

• Related Centers: X₂ (CENTROID), X₉₉ (STEINER POINT), X₂₀ (DE LONGCHAMPS POINT), X₉₈ (TARRY POINT)

Trilinears: \(bc[a^{4} - (b^{2} - c^{2})^{2} + b^{2}c^{2} - a^{2}b^{2} - a^{2}c^{2}]\)

Barycentrics: \(a^{4} - (b^{2} - c^{2})^{2} + b^{2}c^{2} - a^{2}b^{2} - a^{2}c^{2}\)

Search Value (6, 9, 13): \(1.010647470170\)

▸ Linear Combinations1 combination

• X₁₄₈ = \(3\) X₂ - \(4\) X₁₁₅, \(9\) X₂ - \(8\) X₆₂₀, \(5\) X₂ - \(4\) X₂₄₈₂, \(7\) X₂ - \(8\) X₅₄₆₁, \(15\) X₂ - \(16\) X₆₇₂₂, \(5\) X₂ - \(6\) X₉₁₆₆, \(13\) X₂ - \(12\) X₉₁₆₇, \(9\) X₂ - \(10\) X₁₄₀₆₁, \(11\) X₂ - \(12\) X₁₄₉₇₁, \(7\) X₂ - \(4\) X₁₅₃₀₀, \(17\) X₂ - \(16\) X₂₂₂₄₇, \(21\) X₂ - \(20\) X₃₁₂₇₄, \(21\) X₂ - \(16\) X₃₅₀₂₂, \(2\) X₃ - \(3\) X₁₄₆₅₁, \(3\) X₄ - \(2\) X₆₀₃₃, \(7\) X₄ - \(2\) X₁₄₆₉₂, \(5\) X₄ - \(4\) X₂₂₅₀₅, \(3\) X₄ - \(4\) X₂₂₅₁₅, \(3\) X₁₃ - \(2\) X₃₂₅₅₂, \(3\) X₁₄ - \(2\) X₃₂₅₅₃, \(3\) X₉₉ - \(4\) X₆₂₀, X₉₉ - \(3\) X₆₇₁, \(5\) X₉₉ - \(6\) X₂₄₈₂, \(7\) X₉₉ - \(12\) X₅₄₆₁, \(5\) X₉₉ - \(8\) X₆₇₂₂, \(4\) X₉₉ - \(3\) X₈₅₉₁, \(2\) X₉₉ + \(3\) X₈₅₉₆, \(5\) X₉₉ - \(9\) X₉₁₆₆, \(13\) X₉₉ - \(18\) X₉₁₆₇, \(3\) X₉₉ - \(5\) X₁₄₀₆₁, \(11\) X₉₉ - \(18\) X₁₄₉₇₁, \(7\) X₉₉ - \(6\) X₁₅₃₀₀, \(17\) X₉₉ - \(24\) X₂₂₂₄₇, \(7\) X₉₉ - \(10\) X₃₁₂₇₄, \(7\) X₉₉ - \(8\) X₃₅₀₂₂, \(4\) X₁₁₄ - \(5\) X₃₀₉₁, \(2\) X₁₁₄ - \(3\) X₁₄₆₃₉, \(3\) X₁₁₅ - \(2\) X₆₂₀, \(2\) X₁₁₅ - \(3\) X₆₇₁, \(5\) X₁₁₅ - \(3\) X₂₄₈₂, \(7\) X₁₁₅ - \(6\) X₅₄₆₁, \(5\) X₁₁₅ - \(4\) X₆₇₂₂, \(8\) X₁₁₅ - \(3\) X₈₅₉₁, \(4\) X₁₁₅ + \(3\) X₈₅₉₆, \(10\) X₁₁₅ - \(9\) X₉₁₆₆, \(13\) X₁₁₅ - \(9\) X₉₁₆₇, \(6\) X₁₁₅ - \(5\) X₁₄₀₆₁, \(11\) X₁₁₅ - \(9\) X₁₄₉₇₁, \(7\) X₁₁₅ - \(3\) X₁₅₃₀₀

X₁₄₈ lies on the anticomplementary circle, the permutation ellipse E(X₄₄₄₀), the cubics K484, K895, K966.

▸ Incident Central Lines411 lines

{1, 6625}, {2, 99}, {3, 13172}, {4, 147}, {5, 7783}, {6, 11361}, {8, 13178}, {10, 13174}, {13, 617}, {14, 616}, {20, 98}, {22, 13175}, {23, 19577}, {30, 385}, {32, 6658}, {39, 16044}, {63, 11608}, {69, 5969}, {76, 2896}, {83, 7765}, {100, 13173}, {110, 16278}, {114, 3091}, {141, 7924}, {145, 7983}, {146, 193}, {149, 2787}, {150, 2786}, {151, 2792}, {152, 2784}, {153, 2783}, {183, 7833}, {187, 14568}, {190, 21711}, {192, 1478}, {230, 13586}, {257, 24851}, {265, 18331}, {274, 17685}, {287, 1562}, {315, 20081}, {316, 538}, {325, 14041}, {330, 1479}, {339, 35923}, {376, 11632}, {377, 27269}, {381, 7777}, {382, 7754}, {384, 5254}, {388, 3027}, {485, 35878}, {486, 35879}, {497, 3023}, {512, 31513}, {516, 9860}, {519, 9875}, {523, 9293}, {524, 8597}, {530, 3181}, {531, 3180}, {532, 25156}, {533, 25166}, {546, 38743}, {549, 17006}, {598, 33694}, {618, 5469}, {619, 5470}, {621, 23004}, {622, 23005}, {625, 7799}, {627, 11602}, {628, 11603}, {631, 33813}, {668, 6653}, {690, 3448}, {698, 5207}, {726, 20558}, {804, 25051}, {805, 6071}, {938, 24472}, {1003, 7806}, {1007, 33006}, {1029, 11611}, {1031, 37888}, {1078, 7756}, {1086, 26147}, {1131, 6462}, {1132, 6463}, {1270, 6320}, {1271, 6319}, {1281, 26117}, {1330, 9902}, {1506, 15031}, {1569, 2548}, {1654, 2796}, {1655, 2475}, {1656, 38229}, {1699, 21636}, {1975, 5025}, {1992, 9830}, {2023, 7738}, {2086, 9431}, {2170, 24504}, {2478, 27318}, {2640, 21089}, {2679, 14509}, {2785, 33650}, {2788, 34547}, {2789, 34548}, {2790, 34549}, {2791, 34550}, {2794, 3146}, {2797, 34186}, {2798, 34188}, {2799, 13219}, {2895, 35103}, {2936, 13595}, {2975, 22514}, {2998, 16098}, {3029, 9534}, {3044, 9544}, {3053, 33257}, {3068, 13657}, {3069, 13777}, {3085, 10086}, {3086, 10089}, {3090, 15561}, {3096, 7872}, {3125, 6650}, {3269, 30227}, {3314, 7841}, {3329, 8370}, {3407, 10336}, {3434, 13180}, {3436, 13181}, {3455, 37913}, {3522, 11623}, {3523, 6036}, {3524, 38739}, {3525, 34127}, {3528, 38731}, {3529, 36864}, {3545, 8724}, {3552, 3767}, {3571, 21725}, {3585, 25264}, {3616, 11711}, {3618, 5026}, {3620, 33210}, {3622, 11725}, {3627, 7762}, {3785, 32997}, {3815, 33013}, {3830, 7837}, {3832, 14981}, {3839, 6054}, {3849, 11054}, {3926, 7912}, {3933, 7885}, {3934, 7847}, {3972, 5309}, {4027, 5286}, {4240, 13179}, {4293, 10069}, {4294, 10053}, {5013, 16921}, {5023, 33268}, {5032, 8593}, {5046, 38499}, {5056, 23514}, {5059, 10991}, {5068, 36519}, {5071, 15092}, {5080, 17759}, {5139, 36898}, {5149, 7803}, {5182, 14928}, {5218, 15452}, {5225, 12185}, {5229, 12184}, {5283, 33030}, {5304, 12191}, {5305, 19687}, {5355, 12150}, {5459, 9114}, {5460, 9116}, {5475, 7757}, {5478, 36776}, {5503, 11148}, {5523, 15014}, {5601, 13176}, {5602, 13177}, {5731, 11710}, {5870, 12297}, {5871, 12296}, {5889, 21661}, {5938, 37902}, {5939, 7735}, {5976, 7791}, {5978, 31709}, {5979, 31710}, {5985, 6872}, {5986, 7500}, {5987, 7519}, {5988, 26051}, {5999, 38654}, {6055, 10304}, {6248, 37336}, {6298, 16809}, {6299, 16808}, {6337, 32961}, {6390, 7925}, {6542, 20349}, {6543, 9509}, {6560, 35825}, {6561, 35824}, {6626, 23897}, {6656, 17128}, {6721, 7486}, {6792, 34344}, {6960, 38556}, {7492, 13233}, {7533, 31088}, {7585, 19109}, {7586, 19108}, {7709, 37348}, {7714, 12132}, {7736, 11152}, {7737, 7766}, {7745, 7839}, {7746, 7782}, {7747, 7760}, {7750, 17129}, {7751, 7802}, {7752, 7781}, {7758, 7900}, {7763, 32966}, {7767, 19695}, {7768, 7842}, {7770, 7864}, {7773, 7906}, {7786, 33020}, {7789, 7901}, {7794, 7911}, {7795, 7933}, {7796, 7825}, {7798, 7812}, {7801, 7934}, {7804, 7827}, {7809, 7813}, {7811, 17131}, {7814, 35005}, {7816, 7828}, {7819, 7923}, {7822, 7918}, {7831, 9466}, {7832, 7861}, {7834, 19689}, {7840, 8352}, {7843, 7905}, {7846, 7902}, {7848, 14711}, {7851, 7892}, {7855, 7860}, {7856, 19693}, {7858, 32450}, {7863, 7899}, {7875, 11286}, {7876, 9478}, {7887, 7891}, {7897, 32833}, {7904, 33234}, {7907, 13881}, {7920, 14034}, {7921, 12830}, {7926, 11055}, {7928, 8357}, {7931, 33184}, {7932, 14001}, {7938, 32974}, {7941, 14044}, {7945, 14064}, {7946, 32006}, {7947, 14045}, {8029, 13187}, {8267, 8878}, {8289, 14033}, {8369, 16984}, {8371, 10556}, {8584, 10488}, {8592, 14482}, {8594, 22573}, {8595, 22574}, {8598, 8859}, {8781, 32831}, {8972, 8997}, {9143, 9144}, {9149, 36182}, {9180, 36955}, {9510, 35173}, {9535, 34454}, {9855, 22329}, {9865, 39266}, {9870, 10989}, {9903, 17499}, {9939, 33192}, {10163, 11056}, {10303, 20398}, {10352, 32971}, {10385, 12354}, {10449, 38481}, {10528, 13189}, {10529, 13190}, {11001, 14830}, {11053, 20998}, {11112, 16999}, {11113, 17000}, {11114, 16998}, {11160, 11161}, {11287, 16986}, {11317, 15484}, {11541, 38627}, {11641, 37915}, {12041, 14849}, {12066, 14223}, {12177, 14853}, {12258, 38314}, {12383, 18332}, {12829, 33280}, {13582, 18301}, {13584, 36857}, {13941, 13989}, {14588, 31644}, {14645, 20080}, {14683, 15342}, {14731, 31296}, {14850, 20304}, {14904, 34540}, {14905, 34541}, {14907, 33264}, {15022, 20399}, {15035, 33511}, {15398, 31655}, {15589, 33272}, {15680, 38557}, {15682, 19569}, {15717, 38737}, {15719, 26614}, {15720, 38635}, {15815, 33015}, {15903, 26109}, {15928, 37077}, {16001, 22113}, {16002, 22114}, {16041, 32817}, {16084, 35524}, {16613, 37128}, {16711, 26145}, {16990, 32986}, {16997, 17579}, {17035, 39120}, {17103, 23903}, {17389, 17778}, {17538, 38742}, {17565, 18140}, {17677, 31090}, {17702, 22265}, {18135, 33823}, {20533, 27295}, {20939, 21899}, {22601, 22603}, {22630, 22632}, {22735, 37190}, {23991, 33799}, {24505, 24715}, {24711, 36223}, {25332, 35965}, {26058, 27262}, {26124, 27312}, {26978, 33820}, {27040, 33831}, {31372, 31373}, {31400, 32962}, {31401, 33002}, {31404, 32995}, {31683, 31695}, {31684, 31696}, {32458, 32830}, {32488, 33340}, {32489, 33341}, {32816, 32996}, {32824, 33290}, {32828, 32965}, {32829, 32963}, {32832, 33004}, {32834, 33023}, {32836, 33278}, {32838, 33012}, {32839, 33270}, {32867, 33188}, {33008, 34229}, {33273, 37688}, {33274, 37637}, {33623, 35752}, {33625, 35749}, {33703, 36859}, {33824, 34284}, {35927, 37689}, {37182, 38642}, {37437, 38498}

▸ Functional Relations43 relations

• X₁₄₈ = midpoint of X_i and X_j for these {i,j}: {2, 8596}, {3146, 5984}

• X₁₄₈ = reflection of X_i in X_j for these {i,j}: {1, 11599}, {2, 671}, {4, 6321}, {8, 13178}, {20, 98}, {63, 11608}, {69, 11646}, {99, 115}, {110, 16278}, {145, 7983}, {147, 4}, {149, 10769}, {187, 32457}, {193, 10754}, {194, 1916}, {376, 11632}, {616, 14}, {617, 13}, {621, 23004}, {622, 23005}, {627, 11602}, {628, 11603}, {805, 6071}, {2896, 11606}, {3146, 10723}, {4240, 13179}, {5978, 31709}, {5979, 31710}, {5989, 5254}, {6033, 22515}, {6054, 9880}, {7779, 316}, {7840, 8352}, {8591, 2}, {8594, 22573}, {8595, 22574}, {8782, 76}, {9114, 5459}, {9116, 5460}, {9143, 9144}, {9855, 22329}, {9862, 12188}, {9890, 18546}, {10488, 8584}, {10992, 6036}, {11001, 14830}, {11148, 5503}, {11160, 11161}, {11177, 12243}, {12117, 6055}, {12383, 18332}, {13172, 3}, {13174, 10}, {13188, 5}, {14509, 2679}, {14588, 31644}, {14683, 15342}, {14712, 385}, {15300, 5461}, {17147, 11611}, {18331, 265}, {20094, 99}, {22507, 16002}, {22509, 16001}, {23235, 114}, {33265, 14568}, {33799, 23991}

• X₁₄₈ = isogonal conjugate of X₉₂₁₇

• X₁₄₈ = isotomic conjugate of X₃₅₅₁₁

• X₁₄₈ = complement of X₂₀₀₉₄

• X₁₄₈ = anticomplement of X₉₉

• X₁₄₈ = anticomplementary conjugate of X₅₁₂

• X₁₄₈ = X₅₂₃-Ceva conjugate of X₂

• X₁₄₈ = X₂-Hirst inverse of X₁₁₅

• X₁₄₈ = crosssum of PU(2)

• X₁₄₈ = crosspoint of PU(40)

• X₁₄₈ = polar conjugate of isogonal conjugate of X₂₂₁₄₃

• X₁₄₈ = polar-circle-inverse of X₅₁₈₆

• X₁₄₈ = orthoptic-circle-of-Steiner-inellipse-inverse of X₆₇₁₉

• X₁₄₈ = orthoptic-circle-of-Steiner-circumellipe-inverse of X₁₁₁

• X₁₄₈ = de-Longchamps-circle-inverse of X₃₅₆₅

• X₁₄₈ = inverse-in-Steiner-circumellipse of X₁₁₅

• X₁₄₈ = antitomic image of X₃₁₆₃₂

• X₁₄₈ = anticomplement of the isogonal conjugate of X₅₁₂

• X₁₄₈ = anticomplement of the isotomic conjugate of X₅₂₃

• X₁₄₈ = isotomic conjugate of the anticomplement of X₃₁₉₉₈

• X₁₄₈ = isotomic conjugate of the complement of X₃₁₃₇₂

• X₁₄₈ = isotomic conjugate of the isogonal conjugate of X₂₀₉₉₈

• X₁₄₈ = polar conjugate of the isogonal conjugate of X₂₂₁₄₃

• X₁₄₈ = anticomplementary isogonal conjugate of X₅₁₂

• X₁₄₈ = psi-transform of X₃₂₅₂₅

• X₁₄₈ = X₉₉-of-anticomplementary triangle

• X₁₄₈ = intersection of tangents at PU(40) to conic {A, B, C,PU(40)}} (i.e., the Steiner circumellipse)

• X₁₄₈ = trilinear pole wrt anticomplementary triangle of line X₂X₆

• X₁₄₈ = X₆₉-of-1st-anti-Brocard-triangle

• X₁₄₈ = center of conic through X₂, X₈, and the extraversions of X₈

• X₁₄₈ = pole of line X₁₁₅X₁₂₅ wrt Steiner circumellipse

• X₁₄₈ = X_i-Ceva conjugate of X_j for these (i,j): {523, 2}, {31632, 31998}, {31998, 10278}

• X₁₄₈ = X_i-cross conjugate of X_j for these (i,j): {2640, 17085}, {10278, 31998}, {21089, 20939}, {21899, 2640}, {31998, 2}

• X₁₄₈ = X_i-isoconjugate of X_j for these (i,j): {1, 9217}, {6, 9395}, {110, 9396}, {163, 9293}, {19610, 24041}

• X₁₄₈ = cevapoint of X_i and X_j for these (i,j): {2, 31372}, {115, 13187}, {20998, 22143}, {21089, 21899}

• X₁₄₈ = crosspoint of X_i and X_j for these (i,j): {523, 10278}, {31632, 31998}

• X₁₄₈ = trilinear pole of line {10278, 11053}

• X₁₄₈ = crossdifference of every pair of points on line {351, 10567}

• X₁₄₈ = X_i-anticomplementary conjugate of X_j for these (i,j): {1, 512}, {2, 17217}, {4, 21300}, {6, 7192}, {10, 21301}, {19, 850}, {25, 7253}, {31, 523}, {32, 4560}, {37, 20295}, {42, 513}, {48, 6563}, {57, 4374}, {58, 17166}, {65, 21302}, {76, 21305}, {81, 17159}, {110, 21295}, {115, 21294}, {163, 99}, {213, 514}, {228, 20294}, {321, 21304}, {512, 8}, {513, 17135}, {514, 17137}, {523, 6327}, {560, 31296}, {604, 4467}, {647, 4329}, {649, 75}, {650, 20245}, {656, 1370}, {657, 18750}, {661, 69}, {662, 4576}, {663, 3869}, {667, 1}, {669, 192}, {688, 21217}, {692, 4427}, {693, 17138}, {741, 4155}, {798, 2}, {799, 670}, {810, 20}, {813, 874}, {822, 6527}, {850, 21275}, {872, 31290}, {875, 740}, {881, 17493}, {905, 18659}, {923, 690}, {1018, 668}, {1019, 17143}, {1042, 3900}, {1084, 21220}, {1096, 520}, {1245, 8678}, {1333, 17161}, {1334, 4462}, {1400, 693}, {1402, 522}, {1415, 17136}, {1459, 20243}, {1576, 6758}, {1577, 315}, {1821, 14295}, {1824, 20293}, {1918, 17494}, {1919, 17147}, {1924, 194}, {1967, 804}, {1973, 525}, {1974, 17498}, {1980, 17148}, {2054, 4010}, {2084, 2896}, {2155, 3265}, {2156, 3267}, {2159, 3268}, {2205, 21225}, {2258, 8672}, {2333, 4391}, {2350, 7199}, {2357, 4397}, {2485, 21288}, {2489, 5905}, {2501, 21270}, {2578, 22340}, {2579, 22339}, {2616, 2979}, {2623, 21271}, {2624, 1272}, {2642, 14360}, {2643, 3448}, {2786, 20560}, {3005, 21289}, {3049, 6360}, {3063, 63}, {3112, 688}, {3120, 21293}, {3121, 4440}, {3122, 149}, {3124, 21221}, {3125, 150}, {3223, 3221}, {3248, 17154}, {3402, 23878}, {3572, 30941}, {3669, 20244}, {3700, 21286}, {3708, 13219}, {3709, 329}, {3733, 17140}, {4010, 20554}, {4017, 3434}, {4024, 21287}, {4041, 3436}, {4077, 21280}, {4079, 2895}, {4117, 25054}, {4455, 17794}, {4516, 33650}, {4551, 3888}, {4557, 3952}, {4559, 21272}, {4705, 1330}, {4730, 21290}, {4770, 21291}, {4983, 2891}, {5029, 20538}, {5466, 21298}, {6010, 7257}, {6591, 17220}, {7121, 4367}, {7178, 21285}, {7180, 7}, {7216, 6604}, {7252, 21273}, {7649, 20242}, {8061, 1369}, {9178, 17491}, {9288, 3005}, {9426, 17486}, {9508, 20351}, {14407, 30578}, {18002, 32842}, {18105, 17165}, {18108, 17142}, {18197, 34086}, {18785, 3766}, {18793, 6373}, {20948, 33796}, {20979, 17149}, {21759, 649}, {21832, 20345}, {21837, 17732}, {22383, 17134}, {23345, 17145}, {23493, 4083}, {23503, 32747}, {23894, 316}, {24006, 11442}, {24290, 20552}, {28615, 4608}, {29055, 3903}, {32666, 3573}, {32676, 110}, {34072, 10330}, {34248, 669}

• X₁₄₈ = barycentric product X_i*X_j for these {i,j}: {1, 20939}, {8, 17085}, {75, 2640}, {76, 20998}, {86, 21089}, {99, 10278}, {115, 31632}, {190, 21200}, {264, 22143}, {274, 21899}, {523, 31998}, {671, 11053}, {850, 9218}, {1577, 2644}

• X₁₄₈ = barycentric quotient X_i/X_j for these {i,j}: {1, 9395}, {6, 9217}, {523, 9293}, {661, 9396}, {2640, 1}, {2644, 662}, {3124, 19610}, {9218, 110}, {10278, 523}, {11053, 524}, {17085, 7}, {20939, 75}, {20998, 6}, {21089, 10}, {21200, 514}, {21899, 37}, {22143, 3}, {31632, 4590}, {31998, 99}

• X₁₄₈ ={X_i,X_j}-harmonic conjugate of X_k for these (i,j,k): {2, 20094, 99}, {4, 194, 7785}, {69, 33017, 7898}, {76, 6655, 2896}, {76, 7748, 6655}, {76, 7910, 7854}, {99, 115, 2}, {99, 671, 115}, {99, 14061, 620}, {99, 20094, 8591}, {114, 14639, 3091}, {115, 620, 14061}, {115, 2482, 6722}, {115, 6722, 9166}, {115, 15300, 31274}, {115, 31274, 5461}, {187, 32457, 14568}, {194, 7785, 13571}, {194, 32528, 147}, {381, 31859, 7777}, {382, 7754, 7823}, {384, 5254, 7797}, {384, 7797, 10583}, {620, 14061, 2}, {671, 8596, 8591}, {671, 16093, 111}, {1078, 7756, 33260}, {1506, 15031, 33024}, {1916, 32528, 7785}, {1975, 5025, 7836}, {2482, 9166, 2}, {2549, 11185, 2}, {3023, 13183, 497}, {3027, 13182, 388}, {3096, 7872, 19690}, {3146, 6392, 20065}, {3734, 7790, 2}, {3734, 11648, 7790}, {3926, 14063, 7912}, {3933, 33229, 7885}, {3934, 7847, 33021}, {5026, 6034, 3618}, {5254, 32819, 384}, {5286, 14035, 7787}, {5286, 32826, 14035}, {5461, 35022, 31274}, {6033, 6321, 22515}, {6033, 22515, 4}, {6036, 10992, 21166}, {6036, 21166, 3523}, {6054, 9880, 3839}, {6055, 12117, 10304}, {6390, 33228, 7925}, {7737, 7766, 34604}, {7746, 7782, 33259}, {7747, 7760, 20088}, {7816, 7828, 33225}, {7820, 7919, 2}, {7835, 7844, 2}, {7839, 14042, 7745}, {7872, 17130, 3096}, {7900, 20105, 7758}, {7906, 14062, 7773}, {8370, 15048, 3329}, {9862, 12188, 11177}, {9862, 12243, 12188}, {9878, 19570, 11177}, {10418, 30786, 2}, {13172, 14651, 3}, {14639, 23235, 114}, {14712, 19570, 385}, {14832, 16093, 2}, {14931, 32815, 8591}, {15300, 31274, 35022}, {15300, 35022, 99}, {17129, 33256, 7750}, {20081, 33019, 315}, {20099, 31125, 7665}, {26072, 26138, 2}, {26564, 26691, 2}, {26794, 26845, 2}, {27008, 27133, 2}, {27071, 27189, 2}