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On this page are computer-accessible forms for the graph C4[ 187, 1 ] = C_187(1,67).

(I) Following is a form readable by MAGMA:

g:=Graph<187|{ {2, 3}, {186, 187}, {184, 185}, {182, 183}, {180, 181}, {178, 179}, {176, 177}, {174, 175}, {172, 173}, {170, 171}, {168, 169}, {166, 167}, {164, 165}, {162, 163}, {160, 161}, {158, 159}, {156, 157}, {154, 155}, {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}, {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}, {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}, {1, 2}, {185, 186}, {181, 182}, {177, 178}, {173, 174}, {169, 170}, {165, 166}, {161, 162}, {157, 158}, {153, 154}, {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}, {125, 126}, {129, 130}, {133, 134}, {137, 138}, {141, 142}, {145, 146}, {149, 150}, {3, 4}, {179, 180}, {171, 172}, {163, 164}, {155, 156}, {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}, {123, 124}, {131, 132}, {139, 140}, {147, 148}, {7, 8}, {183, 184}, {167, 168}, {55, 56}, {23, 24}, {39, 40}, {71, 72}, {87, 88}, {103, 104}, {119, 120}, {135, 136}, {151, 152}, {15, 16}, {175, 176}, {47, 48}, {79, 80}, {111, 112}, {143, 144}, {31, 32}, {159, 160}, {95, 96}, {4, 71}, {60, 127}, {56, 123}, {52, 119}, {48, 115}, {44, 111}, {40, 107}, {8, 75}, {12, 79}, {16, 83}, {20, 87}, {24, 91}, {28, 95}, {32, 99}, {36, 103}, {1, 68}, {59, 126}, {57, 124}, {51, 118}, {49, 116}, {43, 110}, {41, 108}, {3, 70}, {9, 76}, {11, 78}, {17, 84}, {19, 86}, {25, 92}, {27, 94}, {33, 100}, {35, 102}, {2, 69}, {58, 125}, {50, 117}, {42, 109}, {10, 77}, {18, 85}, {26, 93}, {34, 101}, {5, 72}, {55, 122}, {53, 120}, {7, 74}, {21, 88}, {23, 90}, {37, 104}, {39, 106}, {6, 73}, {54, 121}, {22, 89}, {38, 105}, {13, 80}, {47, 114}, {45, 112}, {15, 82}, {14, 81}, {46, 113}, {1, 121}, {2, 122}, {3, 123}, {4, 124}, {5, 125}, {6, 126}, {7, 127}, {29, 96}, {31, 98}, {30, 97}, {63, 64}, {8, 128}, {63, 183}, {62, 182}, {61, 181}, {60, 180}, {59, 179}, {58, 178}, {57, 177}, {56, 176}, {47, 167}, {46, 166}, {45, 165}, {44, 164}, {43, 163}, {42, 162}, {41, 161}, {40, 160}, {9, 129}, {10, 130}, {11, 131}, {12, 132}, {13, 133}, {14, 134}, {15, 135}, {24, 144}, {25, 145}, {26, 146}, {27, 147}, {28, 148}, {29, 149}, {30, 150}, {31, 151}, {16, 136}, {55, 175}, {54, 174}, {53, 173}, {52, 172}, {51, 171}, {50, 170}, {49, 169}, {48, 168}, {17, 137}, {18, 138}, {19, 139}, {20, 140}, {21, 141}, {22, 142}, {23, 143}, {32, 152}, {33, 153}, {34, 154}, {35, 155}, {36, 156}, {37, 157}, {38, 158}, {39, 159}, {1, 187}, {61, 128}, {63, 130}, {62, 129}, {64, 131}, {68, 135}, {72, 139}, {76, 143}, {80, 147}, {84, 151}, {88, 155}, {92, 159}, {96, 163}, {100, 167}, {104, 171}, {108, 175}, {112, 179}, {116, 183}, {120, 187}, {65, 132}, {67, 134}, {73, 140}, {75, 142}, {81, 148}, {83, 150}, {89, 156}, {91, 158}, {97, 164}, {99, 166}, {105, 172}, {107, 174}, {113, 180}, {115, 182}, {66, 133}, {74, 141}, {82, 149}, {90, 157}, {98, 165}, {106, 173}, {114, 181}, {69, 136}, {71, 138}, {85, 152}, {87, 154}, {101, 168}, {103, 170}, {117, 184}, {119, 186}, {70, 137}, {86, 153}, {102, 169}, {118, 185}, {77, 144}, {79, 146}, {109, 176}, {111, 178}, {78, 145}, {110, 177}, {64, 184}, {66, 186}, {65, 185}, {67, 187}, {93, 160}, {95, 162}, {94, 161}, {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, 68)(3, 135)(4, 15)(5, 82)(6, 149)(7, 29)(8, 96)(9, 163)(10, 43)(11, 110)(12, 177)(13, 57)(14, 124)(16, 71)(17, 138)(19, 85)(20, 152)(21, 32)(22, 99)(23, 166)(24, 46)(25, 113)(26, 180)(27, 60)(28, 127)(30, 74)(31, 141)(33, 88)(34, 155)(36, 102)(37, 169)(38, 49)(39, 116)(40, 183)(41, 63)(42, 130)(44, 77)(45, 144)(47, 91)(48, 158)(50, 105)(51, 172)(53, 119)(54, 186)(55, 66)(56, 133)(58, 80)(59, 147)(61, 94)(62, 161)(64, 108)(65, 175)(67, 122)(70, 136)(72, 83)(73, 150)(75, 97)(76, 164)(78, 111)(79, 178)(81, 125)(84, 139)(87, 153)(89, 100)(90, 167)(92, 114)(93, 181)(95, 128)(98, 142)(101, 156)(104, 170)(106, 117)(107, 184)(109, 131)(112, 145)(115, 159)(118, 173)(121, 187)(123, 134)(126, 148)(129, 162)(132, 176)(140, 151)(143, 165)(146, 179)(157, 168)(160, 182)(174, 185)
b: (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, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187)
c: (2, 121)(3, 54)(4, 174)(5, 107)(6, 40)(7, 160)(8, 93)(9, 26)(10, 146)(11, 79)(13, 132)(14, 65)(15, 185)(16, 118)(17, 51)(18, 171)(19, 104)(20, 37)(21, 157)(22, 90)(24, 143)(25, 76)(27, 129)(28, 62)(29, 182)(30, 115)(31, 48)(32, 168)(33, 101)(35, 154)(36, 87)(38, 140)(39, 73)(41, 126)(42, 59)(43, 179)(44, 112)(46, 165)(47, 98)(49, 151)(50, 84)(52, 137)(53, 70)(55, 123)(57, 176)(58, 109)(60, 162)(61, 95)(63, 148)(64, 81)(66, 134)(68, 187)(69, 120)(71, 173)(72, 106)(74, 159)(75, 92)(77, 145)(80, 131)(82, 184)(83, 117)(85, 170)(86, 103)(88, 156)(91, 142)(94, 128)(96, 181)(97, 114)(99, 167)(102, 153)(105, 139)(108, 125)(110, 178)(113, 164)(116, 150)(119, 136)(124, 175)(127, 161)(130, 147)(135, 186)(138, 172)(141, 158)(149, 183)(152, 169)(163, 180)

(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[ 187, 1 ]
187
-1 121 187 2 68
-2 1 122 3 69
-3 2 123 4 70
-4 3 124 5 71
-5 4 125 6 72
-6 5 126 7 73
-7 6 127 8 74
-8 7 128 9 75
-9 8 129 10 76
-10 11 77 9 130
-11 12 78 10 131
-12 11 132 13 79
-13 12 133 14 80
-14 13 134 15 81
-15 14 135 16 82
-16 15 136 17 83
-17 16 137 18 84
-18 17 138 19 85
-19 18 139 20 86
-20 19 140 21 87
-21 22 88 20 141
-22 23 89 21 142
-23 22 143 24 90
-24 23 144 25 91
-25 24 145 26 92
-26 25 146 27 93
-27 26 147 28 94
-28 27 148 29 95
-29 28 149 30 96
-30 29 150 31 97
-31 30 151 32 98
-32 33 99 31 152
-33 34 100 32 153
-34 33 154 35 101
-35 34 155 36 102
-36 35 156 37 103
-37 36 157 38 104
-38 37 158 39 105
-39 38 159 40 106
-40 39 160 41 107
-41 40 161 42 108
-42 41 162 43 109
-43 44 110 42 163
-44 45 111 43 164
-45 44 165 46 112
-46 45 166 47 113
-47 46 167 48 114
-48 47 168 49 115
-49 48 169 50 116
-50 49 170 51 117
-51 50 171 52 118
-52 51 172 53 119
-53 52 173 54 120
-54 55 121 53 174
-55 56 122 54 175
-56 55 176 57 123
-57 56 177 58 124
-58 57 178 59 125
-59 58 179 60 126
-60 59 180 61 127
-61 60 181 62 128
-62 61 182 63 129
-63 62 183 64 130
-64 63 184 65 131
-65 66 132 64 185
-66 67 133 65 186
-67 66 187 68 134
-68 1 67 69 135
-69 2 68 70 136
-70 3 69 71 137
-71 4 70 72 138
-72 5 71 73 139
-73 6 72 74 140
-74 7 73 75 141
-75 8 74 76 142
-76 77 143 9 75
-77 78 144 10 76
-78 11 77 79 145
-79 12 78 80 146
-80 13 79 81 147
-81 14 80 82 148
-82 15 81 83 149
-83 16 82 84 150
-84 17 83 85 151
-85 18 84 86 152
-86 19 85 87 153
-87 88 154 20 86
-88 89 155 21 87
-89 22 88 90 156
-90 23 89 91 157
-91 24 90 92 158
-92 25 91 93 159
-93 26 92 94 160
-94 27 93 95 161
-95 28 94 96 162
-96 29 95 97 163
-97 30 96 98 164
-98 99 165 31 97
-99 100 166 32 98
-100 33 99 101 167
-101 34 100 102 168
-102 35 101 103 169
-103 36 102 104 170
-104 37 103 105 171
-105 38 104 106 172
-106 39 105 107 173
-107 40 106 108 174
-108 41 107 109 175
-109 110 176 42 108
-110 111 177 43 109
-111 44 110 112 178
-112 45 111 113 179
-113 46 112 114 180
-114 47 113 115 181
-115 48 114 116 182
-116 49 115 117 183
-117 50 116 118 184
-118 51 117 119 185
-119 52 118 120 186
-120 121 187 53 119
-121 1 122 54 120
-122 55 121 2 123
-123 56 122 3 124
-124 57 123 4 125
-125 58 124 5 126
-126 59 125 6 127
-127 60 126 7 128
-128 61 127 8 129
-129 62 128 9 130
-130 63 129 10 131
-131 11 132 64 130
-132 12 133 65 131
-133 66 132 13 134
-134 67 133 14 135
-135 68 134 15 136
-136 69 135 16 137
-137 70 136 17 138
-138 71 137 18 139
-139 72 138 19 140
-140 73 139 20 141
-141 74 140 21 142
-142 22 143 75 141
-143 23 144 76 142
-144 77 143 24 145
-145 78 144 25 146
-146 79 145 26 147
-147 80 146 27 148
-148 81 147 28 149
-149 82 148 29 150
-150 83 149 30 151
-151 84 150 31 152
-152 85 151 32 153
-153 33 154 86 152
-154 34 155 87 153
-155 88 154 35 156
-156 89 155 36 157
-157 90 156 37 158
-158 91 157 38 159
-159 92 158 39 160
-160 93 159 40 161
-161 94 160 41 162
-162 95 161 42 163
-163 96 162 43 164
-164 44 165 97 163
-165 45 166 98 164
-166 99 165 46 167
-167 100 166 47 168
-168 101 167 48 169
-169 102 168 49 170
-170 103 169 50 171
-171 104 170 51 172
-172 105 171 52 173
-173 106 172 53 174
-174 107 173 54 175
-175 55 176 108 174
-176 56 177 109 175
-177 110 176 57 178
-178 111 177 58 179
-179 112 178 59 180
-180 113 179 60 181
-181 114 180 61 182
-182 115 181 62 183
-183 116 182 63 184
-184 117 183 64 185
-185 118 184 65 186
-186 66 187 119 185
-187 1 67 120 186
0

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