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On this page are computer-accessible forms for the graph C4[ 176, 3 ] = C_176(1,65).

(I) Following is a form readable by MAGMA:

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

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

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