Here are the line numbers of the Lemke graphs on 8 and 9 vertices based on the data from here.
Lemke 8
Line numbers (starting at 1) from this file
1419, 1452, 1471, 1751, 3176, 3558, 5174, 5510, 5618, 5635, 6026, 6395, 6487, 6495, 7076, 7520, 8135, 9634, 9635, 9717, 10541, 10751
Lemke 9
Line numbers (starting at 1) from this file
6316, 9400, 9818, 9822, 11792, 14202, 14203, 14582, 14583, 14870, 16325, 16360, 19496, 19498, 28673, 29372, 29666, 30045, 30554, 36073, 36974, 36976, 37453, 37455, 37866, 37893, 38040, 38134, 38144, 38152, 40719, 41135, 41390, 41962, 42090, 42184, 42188, 42193, 42372, 44360, 44364, 45798, 46059, 47137, 48574, 48575, 50205, 50707, 50708, 52324, 52325, 54108, 54109, 54110, 54468, 54469, 56671, 56716, 59059, 60402, 60429, 60525, 60550, 60562, 60580, 60715, 60761, 60767, 60797, 60799, 61055, 61139, 65719, 65862, 65877, 68159, 69845, 73593, 74364, 74366, 76363, 76544, 83428, 83838, 98643, 99993, 101761, 101765, 101781, 103222, 103223, 103224, 104282, 104442, 104443, 105239, 105622, 110158, 111610, 119651, 119667, 119680, 119687, 120173, 120174, 120176, 120215, 128087, 128089, 128283, 128313, 128483, 129797, 129871, 130012, 130013, 130048, 130049, 130431, 130446, 130449, 130451, 130477, 138145, 146585, 147197, 147729, 148056, 150283, 150860, 151067, 151088, 152021, 152023, 152172, 152184, 152199, 152290, 152360, 152445, 152567, 152747, 152841, 154322, 154725, 155464, 157215, 157319, 157964, 157966, 159407, 159408, 159708, 159762, 159763, 160941, 161110, 161114, 161120, 161425, 161988, 162098, 162294, 162338, 162342, 162426, 162450, 162683, 162727, 162836, 162870, 162939, 163291, 163299, 163301, 164176, 165024, 165026, 165276, 166394, 166427, 166543, 166544, 166637, 166747, 166748, 167284, 167431, 169392, 170845, 172094, 173236, 173400, 174153, 174208, 174218, 174230, 174233, 174257, 174311, 174350, 174377, 174553, 174610, 176474, 176475, 176485, 176827, 177166, 177191, 177198, 177199, 178522, 179400, 183281, 184528, 184530, 188977, 188982, 188987, 188988, 188989, 189185, 189187, 193351, 193357, 193382, 193400, 193452, 193454, 194531, 194925, 194935, 194939, 195110, 195120, 195519, 195568, 195572, 195577, 195578, 196013, 196032, 196529, 196534, 196539, 196540, 197787, 198086, 198152, 198159, 198160, 198544, 198602, 199478, 199479, 199785, 200471, 204867, 208086, 208089, 208091, 208214, 208231, 209142, 209154, 209158, 209159, 209199, 216160, 216192, 216353, 216384, 216398, 216555, 216747, 217352, 217394, 218609, 221849, 221969, 221985, 221997, 222005, 222192, 225459, 225485, 225845, 225859, 225894, 226494, 226795, 226810, 226824, 226831, 226832, 226865, 227628, 227655, 227682, 256571, 256588, 256604, 256695, 257414, 258119
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