C4graphGraph forms for C4 [ 240, 76 ] = UG(ATD[240,105])

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On this page are computer-accessible forms for the graph C4[ 240, 76 ] = UG(ATD[240,105]).

(I) Following is a form readable by MAGMA:

g:=Graph<240|{ {34, 35}, {238, 239}, {220, 221}, {216, 217}, {204, 205}, {184, 185}, {178, 179}, {148, 149}, {138, 139}, {68, 69}, {66, 67}, {36, 37}, {84, 85}, {88, 89}, {64, 66}, {236, 238}, {161, 163}, {65, 67}, {1, 2}, {213, 214}, {185, 186}, {68, 71}, {57, 58}, {113, 114}, {133, 134}, {42, 46}, {187, 191}, {185, 189}, {91, 95}, {1, 4}, {171, 174}, {17, 20}, {3, 6}, {112, 117}, {8, 14}, {2, 5}, {227, 228}, {139, 140}, {65, 70}, {8, 15}, {34, 42}, {226, 234}, {3, 10}, {215, 222}, {198, 207}, {196, 205}, {160, 169}, {7, 14}, {5, 12}, {102, 111}, {35, 41}, {210, 216}, {208, 218}, {80, 90}, {2, 9}, {209, 218}, {50, 57}, {6, 13}, {102, 109}, {227, 239}, {18, 31}, {228, 233}, {224, 237}, {209, 220}, {128, 141}, {64, 78}, {230, 232}, {229, 235}, {212, 218}, {199, 201}, {147, 157}, {67, 77}, {66, 76}, {115, 125}, {4, 11}, {231, 232}, {225, 238}, {183, 184}, {39, 40}, {17, 30}, {129, 142}, {47, 63}, {135, 151}, {5, 20}, {204, 221}, {173, 188}, {136, 153}, {70, 87}, {7, 21}, {15, 29}, {14, 28}, {11, 25}, {10, 24}, {140, 159}, {6, 18}, {207, 219}, {140, 152}, {111, 122}, {137, 156}, {12, 26}, {139, 157}, {13, 27}, {4, 19}, {172, 187}, {107, 124}, {108, 123}, {8, 16}, {192, 216}, {78, 86}, {37, 60}, {109, 116}, {38, 61}, {235, 240}, {171, 176}, {138, 145}, {201, 213}, {38, 59}, {237, 240}, {194, 223}, {110, 115}, {8, 22}, {170, 180}, {36, 58}, {9, 23}, {103, 121}, {1, 30}, {193, 222}, {72, 104}, {208, 240}, {131, 163}, {31, 62}, {77, 108}, {81, 112}, {131, 162}, {10, 40}, {197, 231}, {196, 230}, {29, 63}, {11, 41}, {83, 113}, {133, 167}, {1, 34}, {202, 233}, {195, 224}, {198, 226}, {12, 42}, {147, 181}, {144, 182}, {31, 57}, {30, 56}, {23, 49}, {22, 48}, {13, 37}, {150, 190}, {25, 49}, {15, 38}, {141, 164}, {21, 60}, {24, 50}, {206, 228}, {203, 225}, {148, 190}, {29, 55}, {28, 54}, {25, 51}, {142, 165}, {200, 227}, {84, 120}, {67, 110}, {155, 182}, {149, 184}, {146, 191}, {73, 100}, {132, 169}, {9, 39}, {72, 102}, {27, 53}, {26, 52}, {15, 33}, {90, 116}, {30, 49}, {199, 232}, {72, 103}, {86, 103}, {220, 237}, {212, 229}, {18, 32}, {154, 168}, {143, 189}, {79, 125}, {88, 106}, {89, 107}, {209, 226}, {223, 236}, {77, 121}, {213, 225}, {158, 170}, {211, 230}, {219, 236}, {128, 184}, {222, 230}, {129, 185}, {130, 186}, {3, 58}, {211, 234}, {75, 114}, {21, 47}, {134, 188}, {16, 43}, {159, 164}, {75, 112}, {82, 105}, {17, 44}, {214, 235}, {19, 46}, {91, 101}, {133, 187}, {18, 45}, {89, 102}, {7, 71}, {53, 116}, {174, 239}, {143, 206}, {62, 127}, {60, 125}, {2, 64}, {55, 117}, {3, 65}, {61, 126}, {172, 239}, {130, 193}, {150, 210}, {54, 115}, {19, 85}, {51, 123}, {52, 124}, {137, 192}, {48, 122}, {56, 114}, {156, 208}, {159, 211}, {158, 210}, {157, 209}, {59, 118}, {142, 195}, {167, 233}, {48, 127}, {141, 194}, {183, 231}, {42, 120}, {181, 231}, {59, 105}, {151, 196}, {26, 78}, {24, 77}, {53, 96}, {32, 118}, {55, 97}, {31, 72}, {151, 192}, {46, 121}, {143, 215}, {189, 229}, {154, 194}, {153, 193}, {28, 69}, {19, 73}, {147, 201}, {57, 99}, {56, 98}, {29, 71}, {23, 76}, {191, 228}, {136, 211}, {180, 232}, {188, 224}, {22, 75}, {155, 198}, {55, 106}, {27, 70}, {20, 74}, {150, 200}, {149, 203}, {148, 202}, {145, 207}, {59, 101}, {58, 100}, {41, 119}, {138, 234}, {171, 203}, {169, 201}, {9, 104}, {174, 207}, {162, 195}, {22, 119}, {190, 221}, {163, 199}, {187, 223}, {16, 117}, {20, 113}, {45, 75}, {45, 74}, {4, 108}, {166, 206}, {44, 68}, {7, 110}, {178, 219}, {54, 95}, {6, 109}, {177, 218}, {53, 94}, {52, 95}, {48, 91}, {14, 101}, {40, 69}, {51, 94}, {49, 92}, {47, 66}, {5, 107}, {128, 238}, {32, 79}, {179, 220}, {50, 93}, {167, 215}, {33, 80}, {175, 222}, {164, 213}, {61, 76}, {39, 86}, {37, 84}, {35, 82}, {129, 240}, {182, 196}, {34, 81}, {165, 214}, {43, 88}, {38, 85}, {160, 212}, {181, 193}, {44, 89}, {173, 216}, {156, 233}, {60, 73}, {36, 82}, {188, 202}, {175, 217}, {36, 83}, {45, 90}, {176, 200}, {144, 234}, {191, 197}, {43, 87}, {170, 215}, {177, 204}, {173, 208}, {172, 210}, {16, 111}, {186, 197}, {178, 205}, {40, 87}, {88, 217}, {33, 165}, {32, 166}, {94, 217}, {25, 146}, {41, 162}, {23, 155}, {50, 190}, {76, 195}, {12, 157}, {13, 159}, {11, 158}, {47, 186}, {82, 200}, {127, 229}, {79, 212}, {62, 161}, {39, 134}, {26, 189}, {10, 160}, {46, 130}, {120, 214}, {17, 161}, {124, 205}, {93, 235}, {106, 221}, {123, 204}, {33, 152}, {119, 206}, {61, 135}, {35, 152}, {80, 236}, {81, 237}, {92, 225}, {63, 128}, {90, 154}, {64, 129}, {71, 134}, {69, 132}, {98, 163}, {113, 176}, {74, 136}, {108, 174}, {109, 175}, {115, 177}, {65, 130}, {70, 133}, {104, 171}, {119, 180}, {96, 164}, {97, 165}, {99, 166}, {79, 137}, {106, 172}, {107, 173}, {116, 178}, {117, 179}, {68, 131}, {126, 182}, {127, 183}, {121, 176}, {83, 153}, {126, 180}, {44, 224}, {92, 144}, {93, 145}, {95, 147}, {120, 181}, {73, 135}, {111, 161}, {112, 162}, {122, 168}, {54, 226}, {91, 143}, {114, 166}, {98, 183}, {100, 177}, {125, 168}, {21, 194}, {92, 132}, {84, 141}, {80, 138}, {81, 139}, {122, 160}, {28, 199}, {56, 227}, {85, 142}, {24, 198}, {27, 197}, {83, 140}, {105, 137}, {51, 219}, {78, 167}, {104, 132}, {118, 154}, {118, 152}, {96, 144}, {97, 145}, {98, 146}, {96, 146}, {100, 150}, {101, 151}, {43, 223}, {52, 192}, {93, 169}, {94, 170}, {124, 136}, {62, 203}, {63, 202}, {97, 148}, {110, 155}, {99, 149}, {105, 158}, {74, 179}, {86, 175}, {123, 135}, {126, 131}, {103, 153}, {87, 168}, {99, 156} }>;

(II) A more general form is to represent the graph as the orbit of {34, 35} under the group generated by the following permutations:

a: (2, 30)(3, 8)(4, 34)(5, 49)(6, 14)(7, 18)(9, 17)(10, 16)(11, 42)(12, 25)(13, 101)(15, 58)(19, 35)(20, 23)(21, 32)(22, 65)(24, 117)(26, 146)(27, 91)(28, 109)(29, 57)(31, 71)(33, 100)(36, 38)(37, 59)(39, 161)(40, 111)(41, 46)(43, 160)(44, 104)(45, 110)(47, 166)(48, 70)(50, 55)(51, 157)(52, 96)(53, 95)(54, 116)(56, 64)(60, 118)(61, 83)(62, 134)(63, 99)(66, 114)(67, 75)(68, 72)(69, 102)(73, 152)(74, 155)(76, 113)(77, 112)(78, 98)(79, 194)(80, 177)(81, 108)(82, 85)(84, 105)(86, 163)(87, 122)(88, 169)(89, 132)(90, 115)(92, 107)(93, 106)(94, 147)(97, 190)(103, 131)(119, 130)(120, 158)(121, 162)(123, 139)(124, 144)(125, 154)(126, 153)(127, 133)(128, 156)(129, 227)(135, 140)(136, 182)(137, 141)(138, 204)(142, 200)(143, 197)(145, 221)(149, 202)(150, 165)(151, 159)(164, 192)(167, 183)(170, 181)(171, 224)(172, 235)(173, 225)(174, 237)(175, 199)(176, 195)(178, 226)(179, 198)(180, 193)(184, 233)(185, 228)(186, 206)(187, 229)(188, 203)(189, 191)(196, 211)(201, 217)(205, 234)(207, 220)(208, 238)(209, 219)(210, 214)(212, 223)(213, 216)(215, 231)(218, 236)(222, 232)(239, 240)
b: (1, 2, 9, 39, 40, 87, 168, 154, 118, 152, 35, 34)(3, 16, 60, 45, 38, 83, 162, 46, 17, 66, 72, 71)(4, 5, 23, 86, 69, 70, 122, 194, 32, 33, 82, 81)(6, 8, 37, 75, 85, 113, 195, 121, 44, 67, 102, 7)(10, 43, 125, 90, 59, 140, 41, 42, 30, 64, 104, 134)(11, 12, 49, 78, 132, 133, 160, 223, 79, 80, 105, 139)(13, 22, 84, 114, 142, 176, 224, 77, 89, 110, 109, 14)(15, 36, 112, 19, 20, 76, 103, 68, 65, 111, 21, 18)(24, 88, 115, 116, 101, 159, 119, 120, 56, 129, 171, 188)(25, 26, 92, 167, 169, 187, 212, 236, 137, 138, 158, 157)(27, 48, 141, 166, 165, 200, 237, 108, 107, 155, 175, 28)(29, 58, 117, 73, 74, 61, 153, 131, 130, 161, 47, 31)(50, 106, 177, 178, 151, 211, 180, 181, 98, 185, 203, 202)(51, 52, 144, 215, 201, 191, 229, 238, 156, 145, 210, 209)(53, 91, 164, 206, 214, 227, 240, 174, 173, 198, 217, 54)(55, 100, 179, 135, 136, 126, 193, 163, 186, 62, 63, 57)(93, 172, 218, 219, 192, 234, 170, 147, 146, 189, 225, 233)(94, 95, 96, 143, 213, 228, 235, 239, 208, 207, 216, 226)(97, 150, 220, 123, 124, 182, 222, 199, 197, 127, 128, 99)(148, 190, 221, 204, 205, 196, 230, 232, 231, 183, 184, 149)
c: (2, 4)(3, 7)(5, 11)(6, 14)(8, 18)(9, 19)(10, 21)(12, 25)(13, 28)(15, 31)(16, 32)(17, 35)(20, 41)(22, 45)(23, 46)(24, 47)(26, 51)(27, 54)(29, 57)(30, 34)(33, 62)(36, 68)(37, 69)(38, 72)(39, 73)(40, 60)(42, 49)(43, 79)(44, 82)(48, 90)(50, 63)(52, 94)(53, 95)(55, 99)(56, 81)(58, 71)(59, 102)(61, 103)(64, 108)(65, 110)(66, 77)(70, 115)(74, 119)(76, 121)(78, 123)(80, 127)(83, 131)(84, 132)(85, 104)(86, 135)(87, 125)(88, 137)(89, 105)(91, 116)(92, 120)(93, 128)(96, 147)(97, 149)(98, 139)(100, 134)(101, 109)(106, 156)(107, 158)(111, 118)(112, 114)(113, 162)(117, 166)(122, 154)(124, 170)(126, 153)(129, 174)(130, 155)(133, 177)(136, 180)(138, 183)(140, 163)(141, 169)(142, 171)(143, 178)(144, 181)(145, 184)(146, 157)(150, 188)(151, 175)(152, 161)(159, 199)(160, 194)(164, 201)(165, 203)(167, 204)(172, 208)(173, 210)(176, 195)(179, 206)(182, 193)(185, 207)(186, 198)(187, 218)(189, 219)(190, 202)(191, 209)(192, 217)(196, 222)(197, 226)(200, 224)(205, 215)(211, 232)(212, 223)(214, 225)(220, 228)(221, 233)(227, 237)(229, 236)(231, 234)(235, 238)(239, 240)

(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[ 240, 76 ]
240
-1 34 2 4 30
-2 1 5 9 64
-3 58 6 10 65
-4 11 1 19 108
-5 12 2 107 20
-6 13 3 18 109
-7 110 14 71 21
-8 22 14 15 16
-9 23 2 104 39
-10 24 3 160 40
-11 25 4 158 41
-12 157 26 5 42
-13 37 27 159 6
-14 101 28 7 8
-15 33 38 29 8
-16 111 117 8 43
-17 44 161 30 20
-18 45 6 31 32
-19 46 4 73 85
-20 113 5 17 74
-21 47 60 7 194
-22 48 8 75 119
-23 155 49 9 76
-24 77 198 50 10
-25 11 146 49 51
-26 12 78 189 52
-27 13 70 53 197
-28 199 14 69 54
-29 55 15 71 63
-30 1 56 49 17
-31 57 72 18 62
-32 166 79 18 118
-33 165 80 15 152
-34 1 35 81 42
-35 34 82 41 152
-36 58 37 82 83
-37 13 36 60 84
-38 15 59 61 85
-39 134 40 9 86
-40 69 39 10 87
-41 11 35 162 119
-42 12 34 46 120
-43 88 223 16 87
-44 89 68 224 17
-45 90 18 74 75
-46 121 19 42 130
-47 66 63 21 186
-48 22 122 91 127
-49 23 25 92 30
-50 24 57 190 93
-51 123 25 94 219
-52 124 26 192 95
-53 27 94 116 96
-54 115 28 226 95
-55 29 106 117 97
-56 114 227 30 98
-57 99 58 50 31
-58 100 57 3 36
-59 101 38 105 118
-60 37 125 73 21
-61 135 38 126 76
-62 203 127 161 31
-63 47 202 29 128
-64 66 78 2 129
-65 67 3 70 130
-66 67 47 64 76
-67 66 77 110 65
-68 44 69 71 131
-69 132 68 28 40
-70 133 27 65 87
-71 68 134 7 29
-72 102 103 104 31
-73 100 135 60 19
-74 45 179 136 20
-75 22 45 112 114
-76 66 23 61 195
-77 121 67 24 108
-78 167 26 64 86
-79 212 125 137 32
-80 33 90 236 138
-81 34 112 237 139
-82 35 200 36 105
-83 36 113 140 153
-84 37 85 141 120
-85 38 84 19 142
-86 78 103 39 175
-87 168 70 40 43
-88 89 106 217 43
-89 44 88 102 107
-90 154 45 80 116
-91 143 101 48 95
-92 132 144 49 225
-93 145 169 235 50
-94 170 51 217 53
-95 91 147 52 54
-96 144 146 53 164
-97 55 165 145 148
-98 56 146 183 163
-99 166 57 156 149
-100 177 58 73 150
-101 14 91 59 151
-102 89 111 72 109
-103 121 72 86 153
-104 132 72 171 9
-105 59 158 82 137
-106 55 88 221 172
-107 89 124 5 173
-108 77 123 4 174
-109 102 6 116 175
-110 67 155 115 7
-111 122 102 16 161
-112 81 117 162 75
-113 176 114 83 20
-114 56 166 113 75
-115 110 177 125 54
-116 90 178 53 109
-117 55 112 179 16
-118 154 59 152 32
-119 22 180 41 206
-120 181 214 84 42
-121 77 176 46 103
-122 111 168 48 160
-123 135 204 51 108
-124 136 205 52 107
-125 79 168 60 115
-126 180 61 182 131
-127 48 62 183 229
-128 238 63 184 141
-129 64 185 240 142
-130 46 193 65 186
-131 68 126 162 163
-132 69 92 169 104
-133 187 134 167 70
-134 133 188 71 39
-135 123 61 73 151
-136 211 124 74 153
-137 79 156 192 105
-138 145 80 234 139
-139 157 81 138 140
-140 159 83 139 152
-141 84 128 194 164
-142 165 85 129 195
-143 189 91 215 206
-144 234 92 182 96
-145 93 138 97 207
-146 25 191 96 98
-147 157 201 181 95
-148 190 202 149 97
-149 99 148 203 184
-150 100 210 200 190
-151 101 135 192 196
-152 33 35 118 140
-153 103 136 83 193
-154 90 168 194 118
-155 110 198 23 182
-156 99 233 137 208
-157 209 12 147 139
-158 11 210 170 105
-159 13 211 140 164
-160 122 212 169 10
-161 111 17 62 163
-162 112 41 195 131
-163 199 161 98 131
-164 213 159 96 141
-165 33 214 97 142
-166 99 114 206 32
-167 78 133 233 215
-168 154 122 125 87
-169 132 201 93 160
-170 158 180 94 215
-171 176 104 203 174
-172 187 210 106 239
-173 188 216 107 208
-174 171 239 108 207
-175 222 217 86 109
-176 121 200 113 171
-177 100 115 204 218
-178 179 116 205 219
-179 220 178 117 74
-180 232 126 170 119
-181 231 147 193 120
-182 144 155 126 196
-183 231 127 184 98
-184 149 128 183 185
-185 189 129 184 186
-186 47 130 185 197
-187 133 223 191 172
-188 134 202 224 173
-189 143 26 185 229
-190 221 148 50 150
-191 187 146 228 197
-192 137 216 52 151
-193 222 181 130 153
-194 154 223 141 21
-195 224 162 76 142
-196 182 205 151 230
-197 231 191 27 186
-198 155 24 226 207
-199 232 201 28 163
-200 176 82 150 227
-201 199 147 169 213
-202 188 233 148 63
-203 225 149 171 62
-204 177 221 123 205
-205 178 124 204 196
-206 143 166 228 119
-207 198 145 174 219
-208 156 173 218 240
-209 220 157 226 218
-210 158 150 172 216
-211 234 136 159 230
-212 79 160 218 229
-213 201 214 225 164
-214 165 213 235 120
-215 143 167 222 170
-216 210 192 173 217
-217 88 94 216 175
-218 209 177 212 208
-219 178 236 51 207
-220 209 221 179 237
-221 220 190 204 106
-222 193 215 175 230
-223 187 236 194 43
-224 44 188 237 195
-225 92 213 203 238
-226 198 209 234 54
-227 56 200 228 239
-228 233 191 227 206
-229 189 212 235 127
-230 232 211 222 196
-231 232 181 183 197
-232 231 199 180 230
-233 156 167 202 228
-234 144 211 138 226
-235 93 214 229 240
-236 80 223 238 219
-237 220 81 224 240
-238 225 236 128 239
-239 172 227 238 174
-240 235 237 129 208
0

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