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On this page are computer-accessible forms for the graph C4[ 185, 3 ] = C_185(1,68).

(I) Following is a form readable by MAGMA:

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

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

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