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On this page are computer-accessible forms for the graph C4[ 194, 2 ] = C_194(1,75).

(I) Following is a form readable by MAGMA:

g:=Graph<194|{ {2, 3}, {192, 193}, {190, 191}, {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}, {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}, {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}, {1, 2}, {193, 194}, {189, 190}, {185, 186}, {181, 182}, {177, 178}, {173, 174}, {169, 170}, {165, 166}, {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}, {161, 162}, {3, 4}, {187, 188}, {179, 180}, {171, 172}, {163, 164}, {67, 68}, {59, 60}, {51, 52}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43, 44}, {75, 76}, {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}, {31, 32}, {95, 96}, {159, 160}, {4, 79}, {52, 127}, {48, 123}, {16, 91}, {20, 95}, {32, 107}, {36, 111}, {1, 76}, {51, 126}, {49, 124}, {3, 78}, {17, 92}, {19, 94}, {33, 108}, {35, 110}, {2, 77}, {50, 125}, {18, 93}, {34, 109}, {5, 80}, {47, 122}, {45, 120}, {7, 82}, {13, 88}, {15, 90}, {37, 112}, {39, 114}, {6, 81}, {46, 121}, {14, 89}, {38, 113}, {8, 83}, {44, 119}, {12, 87}, {40, 115}, {9, 84}, {11, 86}, {41, 116}, {43, 118}, {10, 85}, {42, 117}, {21, 96}, {23, 98}, {29, 104}, {31, 106}, {8, 127}, {22, 97}, {30, 105}, {1, 120}, {3, 122}, {5, 124}, {7, 126}, {2, 121}, {6, 125}, {24, 99}, {28, 103}, {25, 100}, {27, 102}, {4, 123}, {191, 192}, {63, 64}, {26, 101}, {9, 128}, {73, 192}, {63, 182}, {61, 180}, {59, 178}, {57, 176}, {47, 166}, {45, 164}, {11, 130}, {13, 132}, {15, 134}, {25, 144}, {27, 146}, {29, 148}, {31, 150}, {41, 160}, {43, 162}, {75, 194}, {10, 129}, {62, 181}, {58, 177}, {46, 165}, {14, 133}, {26, 145}, {30, 149}, {42, 161}, {74, 193}, {12, 131}, {60, 179}, {44, 163}, {28, 147}, {16, 135}, {56, 175}, {48, 167}, {24, 143}, {17, 136}, {55, 174}, {53, 172}, {51, 170}, {49, 168}, {19, 138}, {21, 140}, {23, 142}, {18, 137}, {54, 173}, {50, 169}, {22, 141}, {20, 139}, {52, 171}, {53, 128}, {63, 138}, {61, 136}, {55, 130}, {117, 192}, {119, 194}, {32, 151}, {62, 137}, {54, 129}, {40, 159}, {118, 193}, {33, 152}, {35, 154}, {37, 156}, {39, 158}, {34, 153}, {60, 135}, {56, 131}, {38, 157}, {57, 132}, {59, 134}, {36, 155}, {58, 133}, {1, 194}, {64, 139}, {68, 143}, {80, 155}, {84, 159}, {96, 171}, {100, 175}, {112, 187}, {116, 191}, {65, 140}, {67, 142}, {81, 156}, {83, 158}, {97, 172}, {99, 174}, {113, 188}, {115, 190}, {66, 141}, {82, 157}, {98, 173}, {114, 189}, {69, 144}, {71, 146}, {77, 152}, {79, 154}, {101, 176}, {103, 178}, {109, 184}, {111, 186}, {70, 145}, {78, 153}, {102, 177}, {110, 185}, {72, 147}, {76, 151}, {104, 179}, {108, 183}, {73, 148}, {75, 150}, {105, 180}, {107, 182}, {74, 149}, {106, 181}, {85, 160}, {87, 162}, {93, 168}, {95, 170}, {64, 183}, {72, 191}, {86, 161}, {94, 169}, {65, 184}, {71, 190}, {69, 188}, {67, 186}, {66, 185}, {70, 189}, {88, 163}, {92, 167}, {89, 164}, {91, 166}, {68, 187}, {90, 165}, {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, 190, 191, 192, 193, 194)
b: (2, 120, 194, 76)(3, 45, 193, 151)(4, 164, 192, 32)(5, 89, 191, 107)(6, 14, 190, 182)(7, 133, 189, 63)(8, 58, 188, 138)(9, 177, 187, 19)(10, 102, 186, 94)(11, 27, 185, 169)(12, 146, 184, 50)(13, 71, 183, 125)(15, 115, 181, 81)(16, 40, 180, 156)(17, 159, 179, 37)(18, 84, 178, 112)(20, 128, 176, 68)(21, 53, 175, 143)(22, 172, 174, 24)(23, 97, 173, 99)(25, 141, 171, 55)(26, 66, 170, 130)(28, 110, 168, 86)(29, 35, 167, 161)(30, 154, 166, 42)(31, 79, 165, 117)(33, 123, 163, 73)(34, 48, 162, 148)(36, 92, 160, 104)(38, 136, 158, 60)(39, 61, 157, 135)(41, 105, 155, 91)(43, 149, 153, 47)(44, 74, 152, 122)(46, 118, 150, 78)(49, 87, 147, 109)(51, 131, 145, 65)(52, 56, 144, 140)(54, 100, 142, 96)(57, 69, 139, 127)(59, 113, 137, 83)(62, 82, 134, 114)(64, 126, 132, 70)(67, 95, 129, 101)(72, 108, 124, 88)(75, 77, 121, 119)(80, 90, 116, 106)(85, 103, 111, 93)

(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[ 194, 2 ]
194
-1 2 194 76 120
-2 77 121 1 3
-3 78 122 2 4
-4 79 123 3 5
-5 80 124 4 6
-6 81 125 5 7
-7 82 126 6 8
-8 83 127 7 9
-9 84 128 8 10
-10 11 85 129 9
-11 12 86 130 10
-12 11 13 87 131
-13 88 132 12 14
-14 89 133 13 15
-15 90 134 14 16
-16 91 135 15 17
-17 92 136 16 18
-18 93 137 17 19
-19 94 138 18 20
-20 95 139 19 21
-21 22 96 140 20
-22 23 97 141 21
-23 22 24 98 142
-24 99 143 23 25
-25 100 144 24 26
-26 101 145 25 27
-27 102 146 26 28
-28 103 147 27 29
-29 104 148 28 30
-30 105 149 29 31
-31 106 150 30 32
-32 33 107 151 31
-33 34 108 152 32
-34 33 35 109 153
-35 110 154 34 36
-36 111 155 35 37
-37 112 156 36 38
-38 113 157 37 39
-39 114 158 38 40
-40 115 159 39 41
-41 116 160 40 42
-42 117 161 41 43
-43 44 118 162 42
-44 45 119 163 43
-45 44 46 120 164
-46 121 165 45 47
-47 122 166 46 48
-48 123 167 47 49
-49 124 168 48 50
-50 125 169 49 51
-51 126 170 50 52
-52 127 171 51 53
-53 128 172 52 54
-54 55 129 173 53
-55 56 130 174 54
-56 55 57 131 175
-57 132 176 56 58
-58 133 177 57 59
-59 134 178 58 60
-60 135 179 59 61
-61 136 180 60 62
-62 137 181 61 63
-63 138 182 62 64
-64 139 183 63 65
-65 66 140 184 64
-66 67 141 185 65
-67 66 68 142 186
-68 143 187 67 69
-69 144 188 68 70
-70 145 189 69 71
-71 146 190 70 72
-72 147 191 71 73
-73 148 192 72 74
-74 149 193 73 75
-75 150 194 74 76
-76 77 1 151 75
-77 78 2 152 76
-78 77 79 3 153
-79 154 78 80 4
-80 155 79 81 5
-81 156 80 82 6
-82 157 81 83 7
-83 158 82 84 8
-84 159 83 85 9
-85 160 84 86 10
-86 11 161 85 87
-87 88 12 162 86
-88 89 13 163 87
-89 88 90 14 164
-90 165 89 91 15
-91 166 90 92 16
-92 167 91 93 17
-93 168 92 94 18
-94 169 93 95 19
-95 170 94 96 20
-96 171 95 97 21
-97 22 172 96 98
-98 99 23 173 97
-99 100 24 174 98
-100 99 101 25 175
-101 176 100 102 26
-102 177 101 103 27
-103 178 102 104 28
-104 179 103 105 29
-105 180 104 106 30
-106 181 105 107 31
-107 182 106 108 32
-108 33 183 107 109
-109 110 34 184 108
-110 111 35 185 109
-111 110 112 36 186
-112 187 111 113 37
-113 188 112 114 38
-114 189 113 115 39
-115 190 114 116 40
-116 191 115 117 41
-117 192 116 118 42
-118 193 117 119 43
-119 44 194 118 120
-120 121 1 45 119
-121 122 2 46 120
-122 121 123 3 47
-123 122 124 4 48
-124 123 125 5 49
-125 124 126 6 50
-126 125 127 7 51
-127 126 128 8 52
-128 127 129 9 53
-129 128 130 10 54
-130 11 55 129 131
-131 132 12 56 130
-132 133 13 57 131
-133 132 134 14 58
-134 133 135 15 59
-135 134 136 16 60
-136 135 137 17 61
-137 136 138 18 62
-138 137 139 19 63
-139 138 140 20 64
-140 139 141 21 65
-141 22 66 140 142
-142 143 23 67 141
-143 144 24 68 142
-144 143 145 25 69
-145 144 146 26 70
-146 145 147 27 71
-147 146 148 28 72
-148 147 149 29 73
-149 148 150 30 74
-150 149 151 31 75
-151 150 152 32 76
-152 33 77 151 153
-153 154 34 78 152
-154 155 35 79 153
-155 154 156 36 80
-156 155 157 37 81
-157 156 158 38 82
-158 157 159 39 83
-159 158 160 40 84
-160 159 161 41 85
-161 160 162 42 86
-162 161 163 43 87
-163 44 88 162 164
-164 165 45 89 163
-165 166 46 90 164
-166 165 167 47 91
-167 166 168 48 92
-168 167 169 49 93
-169 168 170 50 94
-170 169 171 51 95
-171 170 172 52 96
-172 171 173 53 97
-173 172 174 54 98
-174 55 99 173 175
-175 176 56 100 174
-176 177 57 101 175
-177 176 178 58 102
-178 177 179 59 103
-179 178 180 60 104
-180 179 181 61 105
-181 180 182 62 106
-182 181 183 63 107
-183 182 184 64 108
-184 183 185 65 109
-185 66 110 184 186
-186 187 67 111 185
-187 188 68 112 186
-188 187 189 69 113
-189 188 190 70 114
-190 189 191 71 115
-191 190 192 72 116
-192 191 193 73 117
-193 192 194 74 118
-194 1 193 75 119
0

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