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On this page are computer-accessible forms for the graph C4[ 175, 1 ] = C_175(1,76).

(I) Following is a form readable by MAGMA:

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

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

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