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On this page are computer-accessible forms for the graph C4[ 168, 46 ] = UG(ATD[168,74]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {101, 109} under the group generated by the following permutations:

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

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

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