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On this page are computer-accessible forms for the graph C4[ 193, 1 ] = C_193(1,81).

(I) Following is a form readable by MAGMA:

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

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

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