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On this page are computer-accessible forms for the graph C4[ 168, 50 ] = UG(ATD[168,80]).

(I) Following is a form readable by MAGMA:

g:=Graph<168|{ {48, 49}, {166, 167}, {134, 135}, {66, 67}, {70, 71}, {1, 3}, {156, 158}, {8, 10}, {85, 87}, {1, 2}, {153, 154}, {148, 151}, {125, 126}, {4, 7}, {3, 6}, {147, 150}, {88, 93}, {2, 4}, {2, 5}, {99, 100}, {59, 60}, {5, 13}, {116, 124}, {7, 15}, {6, 14}, {33, 40}, {132, 141}, {50, 59}, {98, 104}, {3, 8}, {163, 168}, {144, 155}, {34, 41}, {7, 12}, {1, 13}, {19, 31}, {18, 30}, {17, 29}, {16, 28}, {4, 9}, {144, 157}, {119, 122}, {115, 126}, {22, 27}, {6, 11}, {5, 10}, {118, 121}, {51, 60}, {21, 26}, {9, 25}, {32, 49}, {101, 119}, {104, 122}, {143, 156}, {1, 21}, {15, 27}, {14, 26}, {13, 25}, {12, 24}, {2, 22}, {5, 16}, {130, 151}, {139, 157}, {32, 55}, {107, 124}, {40, 63}, {77, 90}, {8, 16}, {12, 20}, {11, 19}, {10, 18}, {9, 17}, {33, 56}, {39, 62}, {37, 60}, {35, 58}, {130, 152}, {141, 151}, {131, 153}, {34, 57}, {96, 123}, {38, 61}, {11, 23}, {136, 148}, {105, 117}, {13, 17}, {8, 21}, {139, 150}, {68, 89}, {72, 85}, {74, 87}, {79, 82}, {42, 52}, {143, 145}, {133, 155}, {103, 121}, {102, 120}, {9, 22}, {138, 149}, {110, 113}, {36, 59}, {64, 95}, {73, 86}, {91, 123}, {24, 57}, {65, 96}, {3, 33}, {128, 162}, {66, 97}, {135, 164}, {91, 120}, {71, 100}, {23, 50}, {133, 160}, {4, 34}, {89, 127}, {68, 98}, {69, 99}, {88, 126}, {132, 163}, {134, 161}, {14, 38}, {142, 166}, {15, 39}, {83, 123}, {84, 124}, {85, 125}, {29, 52}, {31, 54}, {70, 111}, {80, 121}, {16, 58}, {130, 168}, {64, 106}, {65, 107}, {24, 51}, {30, 53}, {69, 110}, {81, 122}, {143, 163}, {15, 34}, {136, 165}, {95, 114}, {66, 108}, {67, 109}, {14, 33}, {31, 48}, {23, 56}, {94, 110}, {150, 166}, {18, 35}, {30, 47}, {28, 45}, {26, 43}, {24, 41}, {22, 39}, {20, 37}, {88, 105}, {146, 160}, {21, 38}, {29, 46}, {25, 42}, {81, 98}, {89, 106}, {6, 50}, {147, 167}, {20, 32}, {7, 51}, {82, 102}, {145, 164}, {19, 36}, {144, 167}, {27, 44}, {71, 112}, {79, 120}, {154, 162}, {72, 113}, {74, 115}, {76, 117}, {78, 119}, {73, 114}, {77, 118}, {86, 106}, {148, 168}, {152, 165}, {159, 162}, {158, 163}, {23, 40}, {28, 35}, {75, 116}, {48, 112}, {62, 126}, {10, 72}, {11, 73}, {53, 113}, {54, 114}, {55, 115}, {60, 120}, {12, 74}, {58, 118}, {25, 84}, {56, 117}, {52, 101}, {54, 103}, {38, 116}, {45, 127}, {39, 117}, {53, 102}, {63, 105}, {55, 104}, {43, 75}, {54, 86}, {53, 85}, {52, 84}, {51, 83}, {50, 82}, {49, 81}, {48, 80}, {47, 79}, {46, 78}, {45, 77}, {44, 76}, {55, 87}, {56, 88}, {57, 89}, {58, 90}, {59, 91}, {61, 92}, {63, 94}, {61, 95}, {62, 93}, {41, 64}, {47, 70}, {45, 68}, {43, 66}, {35, 72}, {46, 69}, {42, 65}, {36, 73}, {37, 74}, {44, 67}, {46, 94}, {62, 76}, {17, 101}, {19, 103}, {18, 102}, {36, 82}, {49, 71}, {37, 83}, {61, 75}, {20, 104}, {41, 86}, {44, 160}, {47, 161}, {27, 136}, {31, 140}, {28, 137}, {30, 139}, {29, 138}, {26, 135}, {42, 129}, {32, 141}, {63, 145}, {57, 137}, {43, 159}, {40, 158}, {87, 149}, {99, 161}, {67, 128}, {76, 136}, {77, 137}, {78, 138}, {79, 139}, {90, 159}, {84, 147}, {93, 154}, {96, 168}, {109, 165}, {108, 164}, {70, 140}, {75, 135}, {109, 160}, {111, 161}, {94, 143}, {95, 142}, {83, 129}, {116, 166}, {92, 142}, {80, 131}, {64, 152}, {127, 167}, {90, 128}, {91, 129}, {121, 162}, {78, 146}, {80, 140}, {81, 141}, {65, 156}, {92, 130}, {93, 131}, {68, 155}, {69, 164}, {97, 128}, {100, 134}, {127, 157}, {106, 137}, {96, 132}, {125, 153}, {103, 131}, {97, 133}, {112, 151}, {123, 156}, {100, 140}, {125, 149}, {107, 129}, {115, 153}, {114, 152}, {108, 134}, {118, 154}, {119, 155}, {98, 144}, {124, 142}, {111, 157}, {99, 145}, {97, 146}, {108, 159}, {112, 132}, {101, 146}, {105, 158}, {107, 147}, {92, 165}, {111, 150}, {109, 148}, {110, 149}, {113, 138}, {122, 133} }>;

(II) A more general form is to represent the graph as the orbit of {48, 49} under the group generated by the following permutations:

a: (2, 3)(4, 6)(5, 8)(7, 11)(9, 14)(10, 16)(12, 19)(13, 21)(15, 23)(17, 26)(18, 28)(20, 31)(22, 33)(24, 36)(25, 38)(27, 40)(29, 43)(30, 45)(32, 48)(34, 50)(37, 54)(39, 56)(41, 59)(42, 61)(44, 63)(46, 66)(47, 68)(51, 73)(52, 75)(53, 77)(55, 80)(57, 82)(58, 72)(60, 86)(62, 88)(64, 91)(65, 92)(67, 94)(69, 97)(70, 98)(71, 81)(74, 103)(76, 105)(78, 108)(79, 89)(83, 114)(84, 116)(85, 118)(87, 121)(90, 113)(93, 126)(95, 129)(96, 130)(99, 133)(100, 122)(101, 135)(102, 137)(104, 140)(106, 120)(107, 142)(109, 143)(110, 128)(111, 144)(112, 141)(115, 131)(119, 134)(123, 152)(125, 154)(127, 139)(132, 151)(136, 158)(138, 159)(145, 160)(146, 164)(147, 166)(148, 163)(149, 162)(150, 167)(155, 161)(156, 165)
b: (1, 2, 4, 7, 12, 20, 32, 49, 71, 100, 134, 135, 26, 21)(3, 5, 9, 15, 24, 37, 55, 81, 112, 140, 161, 164, 43, 38)(6, 10, 17, 27, 41, 60, 87, 122, 151, 31, 47, 69, 66, 61)(8, 13, 22, 34, 51, 74, 104, 141, 48, 70, 99, 108, 75, 14)(11, 18, 29, 44, 64, 59, 85, 119, 148, 54, 79, 110, 97, 92)(16, 25, 39, 57, 83, 115, 98, 132, 80, 111, 145, 159, 116, 33)(19, 30, 46, 67, 95, 50, 72, 101, 136, 86, 120, 149, 133, 130)(23, 35, 52, 76, 106, 91, 125, 155, 168, 103, 139, 94, 128, 142)(28, 42, 62, 89, 123, 153, 144, 163, 121, 150, 63, 90, 124, 56)(36, 53, 78, 109, 114, 82, 113, 146, 165, 73, 102, 138, 160, 152)(40, 58, 84, 117, 137, 129, 126, 68, 96, 131, 157, 143, 162, 166)(45, 65, 93, 127, 156, 154, 167, 158, 118, 147, 105, 77, 107, 88)
c: (2, 21)(3, 13)(4, 26)(5, 8)(6, 17)(7, 135)(9, 14)(11, 101)(12, 134)(15, 75)(18, 72)(19, 119)(20, 100)(22, 38)(23, 52)(24, 108)(25, 33)(27, 61)(28, 58)(29, 50)(30, 85)(31, 122)(32, 71)(34, 43)(36, 78)(37, 99)(39, 116)(40, 42)(41, 66)(44, 95)(45, 118)(46, 59)(47, 87)(48, 81)(51, 164)(54, 133)(55, 70)(56, 84)(57, 159)(60, 69)(62, 166)(63, 129)(64, 67)(65, 158)(68, 121)(73, 146)(74, 161)(76, 142)(79, 149)(80, 98)(82, 138)(83, 145)(86, 97)(88, 147)(89, 162)(90, 137)(91, 94)(92, 136)(93, 167)(96, 163)(102, 113)(103, 155)(104, 140)(105, 107)(106, 128)(109, 152)(110, 120)(111, 115)(112, 141)(114, 160)(117, 124)(123, 143)(125, 139)(126, 150)(127, 154)(130, 148)(131, 144)(153, 157)

(III) Last is Groups&Graphs. Copy everything between (not including) the lines of asterisks into a plain text file and save it as "graph.txt". Then launch G&G (Groups&Graphs) and select Read Text from the File menu.

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&Graph
C4[ 168, 50 ]
168
-1 2 13 3 21
-2 22 1 4 5
-3 33 1 6 8
-4 34 2 7 9
-5 2 13 16 10
-6 11 3 14 50
-7 12 4 15 51
-8 3 16 10 21
-9 22 25 4 17
-10 5 72 18 8
-11 23 6 73 19
-12 24 7 74 20
-13 1 25 5 17
-14 33 26 38 6
-15 34 27 39 7
-16 58 5 28 8
-17 13 101 29 9
-18 35 102 30 10
-19 11 36 103 31
-20 12 37 104 32
-21 1 26 38 8
-22 2 27 39 9
-23 11 56 50 40
-24 12 57 51 41
-25 13 84 9 42
-26 14 135 21 43
-27 22 44 15 136
-28 45 35 16 137
-29 46 17 138 52
-30 47 18 139 53
-31 48 19 140 54
-32 55 49 20 141
-33 56 3 14 40
-34 57 4 15 41
-35 58 28 72 18
-36 59 82 73 19
-37 60 83 74 20
-38 14 61 116 21
-39 22 15 62 117
-40 33 23 158 63
-41 34 24 64 86
-42 25 52 129 65
-43 66 26 159 75
-44 67 27 160 76
-45 77 68 28 127
-46 78 69 94 29
-47 79 70 161 30
-48 112 80 49 31
-49 48 81 71 32
-50 23 59 82 6
-51 24 60 83 7
-52 101 29 84 42
-53 102 113 30 85
-54 103 114 31 86
-55 104 115 32 87
-56 33 88 23 117
-57 34 89 24 137
-58 35 90 16 118
-59 36 91 60 50
-60 37 59 51 120
-61 92 38 95 75
-62 93 126 39 76
-63 145 94 105 40
-64 95 106 41 152
-65 156 96 107 42
-66 67 97 108 43
-67 44 66 128 109
-68 45 89 155 98
-69 99 110 46 164
-70 111 47 71 140
-71 100 112 70 49
-72 35 113 85 10
-73 11 36 114 86
-74 12 37 115 87
-75 135 61 116 43
-76 44 136 62 117
-77 45 90 137 118
-78 46 146 138 119
-79 47 82 139 120
-80 121 48 140 131
-81 122 49 141 98
-82 79 36 102 50
-83 123 37 51 129
-84 25 124 147 52
-85 125 72 53 87
-86 73 106 41 54
-87 55 149 74 85
-88 56 93 126 105
-89 57 68 127 106
-90 77 58 159 128
-91 123 59 129 120
-92 165 61 130 142
-93 88 154 62 131
-94 110 143 46 63
-95 114 61 64 142
-96 132 123 168 65
-97 66 133 146 128
-98 144 68 81 104
-99 100 145 69 161
-100 99 134 71 140
-101 146 17 52 119
-102 82 18 53 120
-103 121 19 54 131
-104 55 122 20 98
-105 88 158 117 63
-106 89 137 64 86
-107 124 147 129 65
-108 66 134 159 164
-109 165 67 148 160
-110 69 113 94 149
-111 157 70 150 161
-112 132 48 71 151
-113 110 72 138 53
-114 73 95 152 54
-115 55 126 74 153
-116 166 124 38 75
-117 56 39 105 76
-118 77 121 154 58
-119 78 122 155 101
-120 79 91 102 60
-121 80 103 118 162
-122 133 81 104 119
-123 156 91 83 96
-124 116 84 107 142
-125 126 149 85 153
-126 88 125 115 62
-127 45 89 167 157
-128 67 90 162 97
-129 91 83 107 42
-130 168 92 151 152
-131 80 103 93 153
-132 112 96 141 163
-133 122 155 160 97
-134 100 135 161 108
-135 134 26 75 164
-136 165 27 148 76
-137 77 57 28 106
-138 78 113 149 29
-139 79 157 150 30
-140 100 80 70 31
-141 132 81 151 32
-142 166 124 92 95
-143 145 156 94 163
-144 155 167 157 98
-145 99 143 63 164
-146 78 101 160 97
-147 167 84 150 107
-148 168 136 151 109
-149 110 125 138 87
-150 111 166 147 139
-151 112 148 130 141
-152 165 114 64 130
-153 154 125 115 131
-154 93 118 162 153
-155 133 144 68 119
-156 143 123 158 65
-157 111 144 127 139
-158 156 105 40 163
-159 90 162 108 43
-160 44 133 146 109
-161 99 111 134 47
-162 121 154 159 128
-163 132 143 168 158
-164 145 69 135 108
-165 92 136 152 109
-166 167 116 150 142
-167 144 166 147 127
-168 148 96 130 163
0

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