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On this page are computer-accessible forms for the graph C4[ 189, 1 ] = C_189(1,55).

(I) Following is a form readable by MAGMA:

g:=Graph<189|{ {2, 3}, {188, 189}, {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}, {74, 75}, {72, 73}, {70, 71}, {68, 69}, {66, 67}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {52, 53}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {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}, {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}, {1, 2}, {185, 186}, {181, 182}, {177, 178}, {173, 174}, {169, 170}, {165, 166}, {161, 162}, {73, 74}, {69, 70}, {65, 66}, {61, 62}, {57, 58}, {53, 54}, {49, 50}, {45, 46}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {41, 42}, {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}, {153, 154}, {157, 158}, {3, 4}, {187, 188}, {179, 180}, {171, 172}, {163, 164}, {75, 76}, {67, 68}, {59, 60}, {51, 52}, {43, 44}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {83, 84}, {91, 92}, {99, 100}, {107, 108}, {115, 116}, {123, 124}, {131, 132}, {139, 140}, {147, 148}, {155, 156}, {7, 8}, {183, 184}, {167, 168}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {87, 88}, {103, 104}, {119, 120}, {135, 136}, {151, 152}, {15, 16}, {175, 176}, {47, 48}, {79, 80}, {111, 112}, {143, 144}, {8, 63}, {72, 127}, {64, 119}, {128, 183}, {1, 56}, {71, 126}, {69, 124}, {67, 122}, {65, 120}, {3, 58}, {5, 60}, {7, 62}, {129, 184}, {131, 186}, {133, 188}, {2, 57}, {70, 125}, {66, 121}, {6, 61}, {130, 185}, {134, 189}, {4, 59}, {159, 160}, {68, 123}, {31, 32}, {95, 96}, {132, 187}, {9, 64}, {63, 118}, {61, 116}, {59, 114}, {57, 112}, {47, 102}, {45, 100}, {43, 98}, {11, 66}, {13, 68}, {15, 70}, {25, 80}, {27, 82}, {29, 84}, {31, 86}, {41, 96}, {10, 65}, {62, 117}, {58, 113}, {46, 101}, {14, 69}, {26, 81}, {30, 85}, {42, 97}, {12, 67}, {60, 115}, {44, 99}, {28, 83}, {16, 71}, {56, 111}, {48, 103}, {24, 79}, {17, 72}, {55, 110}, {53, 108}, {51, 106}, {49, 104}, {19, 74}, {21, 76}, {23, 78}, {18, 73}, {54, 109}, {50, 105}, {22, 77}, {20, 75}, {52, 107}, {32, 87}, {40, 95}, {33, 88}, {35, 90}, {37, 92}, {39, 94}, {34, 89}, {38, 93}, {36, 91}, {63, 64}, {1, 135}, {49, 183}, {48, 182}, {8, 142}, {9, 143}, {16, 150}, {17, 151}, {24, 158}, {25, 159}, {32, 166}, {33, 167}, {40, 174}, {41, 175}, {2, 136}, {55, 189}, {54, 188}, {51, 185}, {50, 184}, {3, 137}, {6, 140}, {7, 141}, {18, 152}, {19, 153}, {22, 156}, {23, 157}, {34, 168}, {35, 169}, {38, 172}, {39, 173}, {4, 138}, {53, 187}, {52, 186}, {5, 139}, {20, 154}, {21, 155}, {36, 170}, {37, 171}, {10, 144}, {47, 181}, {46, 180}, {43, 177}, {42, 176}, {11, 145}, {14, 148}, {15, 149}, {12, 146}, {45, 179}, {44, 178}, {13, 147}, {26, 160}, {27, 161}, {30, 164}, {31, 165}, {1, 189}, {28, 162}, {29, 163}, {73, 128}, {75, 130}, {77, 132}, {79, 134}, {89, 144}, {91, 146}, {93, 148}, {95, 150}, {105, 160}, {107, 162}, {109, 164}, {111, 166}, {121, 176}, {123, 178}, {125, 180}, {127, 182}, {74, 129}, {78, 133}, {90, 145}, {94, 149}, {106, 161}, {110, 165}, {122, 177}, {126, 181}, {76, 131}, {92, 147}, {108, 163}, {124, 179}, {80, 135}, {88, 143}, {112, 167}, {120, 175}, {81, 136}, {83, 138}, {85, 140}, {87, 142}, {113, 168}, {115, 170}, {117, 172}, {119, 174}, {82, 137}, {86, 141}, {114, 169}, {118, 173}, {84, 139}, {116, 171}, {96, 151}, {104, 159}, {97, 152}, {99, 154}, {101, 156}, {103, 158}, {98, 153}, {102, 157}, {100, 155}, {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, 186, 187, 188, 189)
b: (2, 56)(3, 111)(4, 166)(5, 32)(6, 87)(7, 142)(9, 63)(10, 118)(11, 173)(12, 39)(13, 94)(14, 149)(16, 70)(17, 125)(18, 180)(19, 46)(20, 101)(21, 156)(23, 77)(24, 132)(25, 187)(26, 53)(27, 108)(28, 163)(30, 84)(31, 139)(33, 60)(34, 115)(35, 170)(37, 91)(38, 146)(40, 67)(41, 122)(42, 177)(44, 98)(45, 153)(47, 74)(48, 129)(49, 184)(51, 105)(52, 160)(54, 81)(55, 136)(58, 112)(59, 167)(61, 88)(62, 143)(65, 119)(66, 174)(68, 95)(69, 150)(72, 126)(73, 181)(75, 102)(76, 157)(79, 133)(80, 188)(82, 109)(83, 164)(86, 140)(89, 116)(90, 171)(93, 147)(96, 123)(97, 178)(100, 154)(103, 130)(104, 185)(107, 161)(110, 137)(114, 168)(117, 144)(121, 175)(124, 151)(128, 182)(131, 158)(135, 189)(138, 165)(145, 172)(152, 179)(159, 186)
c: (2, 135)(3, 80)(4, 25)(5, 159)(6, 104)(7, 49)(8, 183)(9, 128)(10, 73)(11, 18)(12, 152)(13, 97)(14, 42)(15, 176)(16, 121)(17, 66)(19, 145)(20, 90)(21, 35)(22, 169)(23, 114)(24, 59)(26, 138)(27, 83)(29, 162)(30, 107)(31, 52)(32, 186)(33, 131)(34, 76)(36, 155)(37, 100)(38, 45)(39, 179)(40, 124)(41, 69)(43, 148)(44, 93)(46, 172)(47, 117)(48, 62)(50, 141)(51, 86)(53, 165)(54, 110)(56, 189)(57, 134)(58, 79)(60, 158)(61, 103)(63, 182)(64, 127)(65, 72)(67, 151)(68, 96)(70, 175)(71, 120)(74, 144)(75, 89)(77, 168)(78, 113)(81, 137)(84, 161)(85, 106)(87, 185)(88, 130)(91, 154)(92, 99)(94, 178)(95, 123)(98, 147)(101, 171)(102, 116)(105, 140)(108, 164)(111, 188)(112, 133)(115, 157)(118, 181)(119, 126)(122, 150)(125, 174)(129, 143)(132, 167)(139, 160)(142, 184)(146, 153)(149, 177)(156, 170)(166, 187)(173, 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[ 189, 1 ]
189
-1 56 2 189 135
-2 1 57 3 136
-3 2 58 4 137
-4 3 59 5 138
-5 4 60 6 139
-6 5 61 7 140
-7 6 62 8 141
-8 7 63 9 142
-9 143 8 64 10
-10 11 144 9 65
-11 66 12 145 10
-12 11 67 13 146
-13 12 68 14 147
-14 13 69 15 148
-15 14 70 16 149
-16 15 71 17 150
-17 16 72 18 151
-18 17 73 19 152
-19 18 74 20 153
-20 154 19 75 21
-21 22 155 20 76
-22 77 23 156 21
-23 22 78 24 157
-24 23 79 25 158
-25 24 80 26 159
-26 25 81 27 160
-27 26 82 28 161
-28 27 83 29 162
-29 28 84 30 163
-30 29 85 31 164
-31 165 30 86 32
-32 33 166 31 87
-33 88 34 167 32
-34 33 89 35 168
-35 34 90 36 169
-36 35 91 37 170
-37 36 92 38 171
-38 37 93 39 172
-39 38 94 40 173
-40 39 95 41 174
-41 40 96 42 175
-42 176 41 97 43
-43 44 177 42 98
-44 99 45 178 43
-45 44 100 46 179
-46 45 101 47 180
-47 46 102 48 181
-48 47 103 49 182
-49 48 104 50 183
-50 49 105 51 184
-51 50 106 52 185
-52 51 107 53 186
-53 187 52 108 54
-54 55 188 53 109
-55 110 56 189 54
-56 55 1 111 57
-57 56 2 112 58
-58 57 3 113 59
-59 58 4 114 60
-60 59 5 115 61
-61 60 6 116 62
-62 61 7 117 63
-63 62 8 118 64
-64 63 9 119 65
-65 66 64 10 120
-66 11 121 67 65
-67 66 12 122 68
-68 67 13 123 69
-69 68 14 124 70
-70 69 15 125 71
-71 70 16 126 72
-72 71 17 127 73
-73 72 18 128 74
-74 73 19 129 75
-75 74 20 130 76
-76 77 75 21 131
-77 22 132 78 76
-78 77 23 133 79
-79 78 24 134 80
-80 79 25 135 81
-81 80 26 136 82
-82 81 27 137 83
-83 82 28 138 84
-84 83 29 139 85
-85 84 30 140 86
-86 85 31 141 87
-87 88 86 32 142
-88 33 143 89 87
-89 88 34 144 90
-90 89 35 145 91
-91 90 36 146 92
-92 91 37 147 93
-93 92 38 148 94
-94 93 39 149 95
-95 94 40 150 96
-96 95 41 151 97
-97 96 42 152 98
-98 99 97 43 153
-99 44 154 100 98
-100 99 45 155 101
-101 100 46 156 102
-102 101 47 157 103
-103 102 48 158 104
-104 103 49 159 105
-105 104 50 160 106
-106 105 51 161 107
-107 106 52 162 108
-108 107 53 163 109
-109 110 108 54 164
-110 55 165 111 109
-111 110 56 166 112
-112 111 57 167 113
-113 112 58 168 114
-114 113 59 169 115
-115 114 60 170 116
-116 115 61 171 117
-117 116 62 172 118
-118 117 63 173 119
-119 118 64 174 120
-120 121 119 65 175
-121 66 176 122 120
-122 121 67 177 123
-123 122 68 178 124
-124 123 69 179 125
-125 124 70 180 126
-126 125 71 181 127
-127 126 72 182 128
-128 127 73 183 129
-129 128 74 184 130
-130 129 75 185 131
-131 132 130 76 186
-132 77 187 133 131
-133 132 78 188 134
-134 133 79 189 135
-135 1 134 80 136
-136 2 135 81 137
-137 3 136 82 138
-138 4 137 83 139
-139 5 138 84 140
-140 6 139 85 141
-141 7 140 86 142
-142 143 8 141 87
-143 88 144 9 142
-144 143 89 145 10
-145 11 144 90 146
-146 12 145 91 147
-147 13 146 92 148
-148 14 147 93 149
-149 15 148 94 150
-150 16 149 95 151
-151 17 150 96 152
-152 18 151 97 153
-153 154 19 152 98
-154 99 155 20 153
-155 154 100 156 21
-156 22 155 101 157
-157 23 156 102 158
-158 24 157 103 159
-159 25 158 104 160
-160 26 159 105 161
-161 27 160 106 162
-162 28 161 107 163
-163 29 162 108 164
-164 165 30 163 109
-165 110 166 31 164
-166 165 111 167 32
-167 33 166 112 168
-168 34 167 113 169
-169 35 168 114 170
-170 36 169 115 171
-171 37 170 116 172
-172 38 171 117 173
-173 39 172 118 174
-174 40 173 119 175
-175 176 41 174 120
-176 121 177 42 175
-177 176 122 178 43
-178 44 177 123 179
-179 45 178 124 180
-180 46 179 125 181
-181 47 180 126 182
-182 48 181 127 183
-183 49 182 128 184
-184 50 183 129 185
-185 51 184 130 186
-186 187 52 185 131
-187 132 188 53 186
-188 187 133 189 54
-189 55 1 188 134
0

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