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On this page are computer-accessible forms for the graph C4[ 168, 3 ] = C_168(1,29).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

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

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

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