Graph forms
for C4 [ 288, 8 ] = {4,4}_<22,14>
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On this page are computer-accessible forms for the graph C4[ 288, 8 ] =
{4,4}_<22,14>.
(I) Following is a form readable by MAGMA:
g:=Graph<288|{ {2, 3}, {286, 287}, {284, 285}, {282, 283}, {280, 281}, {278,
279}, {276, 277}, {274, 275}, {272, 273}, {270, 271}, {268, 269}, {266, 267},
{264, 265}, {262, 263}, {260, 261}, {258, 259}, {256, 257}, {254, 255}, {252,
253}, {250, 251}, {248, 249}, {246, 247}, {244, 245}, {242, 243}, {240, 241},
{238, 239}, {236, 237}, {234, 235}, {232, 233}, {230, 231}, {228, 229}, {226,
227}, {224, 225}, {222, 223}, {220, 221}, {218, 219}, {216, 217}, {214, 215},
{212, 213}, {210, 211}, {208, 209}, {206, 207}, {204, 205}, {202, 203}, {200,
201}, {198, 199}, {196, 197}, {194, 195}, {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},
{86, 87}, {84, 85}, {82, 83}, {80, 81}, {78, 79}, {76, 77}, {74, 75}, {72, 73},
{70, 71}, {68, 69}, {66, 67}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56, 57},
{54, 55}, {52, 53}, {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}, {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}, {146, 147}, {148, 149}, {150, 151}, {152, 153}, {154,
155}, {156, 157}, {158, 159}, {160, 161}, {1, 2}, {285, 286}, {281, 282}, {277,
278}, {273, 274}, {269, 270}, {265, 266}, {261, 262}, {257, 258}, {253, 254},
{249, 250}, {245, 246}, {241, 242}, {237, 238}, {233, 234}, {229, 230}, {225,
226}, {221, 222}, {217, 218}, {213, 214}, {209, 210}, {205, 206}, {201, 202},
{197, 198}, {193, 194}, {189, 190}, {185, 186}, {181, 182}, {177, 178}, {173,
174}, {169, 170}, {165, 166}, {85, 86}, {81, 82}, {77, 78}, {73, 74}, {69, 70},
{65, 66}, {61, 62}, {57, 58}, {53, 54}, {5, 6}, {9, 10}, {13, 14}, {17, 18},
{21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {41, 42}, {45, 46}, {49, 50},
{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}, {283,
284}, {275, 276}, {267, 268}, {259, 260}, {251, 252}, {243, 244}, {235, 236},
{227, 228}, {219, 220}, {211, 212}, {203, 204}, {195, 196}, {187, 188}, {179,
180}, {171, 172}, {163, 164}, {83, 84}, {75, 76}, {67, 68}, {59, 60}, {51, 52},
{11, 12}, {19, 20}, {27, 28}, {35, 36}, {43, 44}, {91, 92}, {99, 100}, {107,
108}, {115, 116}, {123, 124}, {131, 132}, {139, 140}, {147, 148}, {155, 156},
{7, 8}, {279, 280}, {263, 264}, {247, 248}, {231, 232}, {215, 216}, {199, 200},
{183, 184}, {167, 168}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {87, 88}, {103,
104}, {119, 120}, {135, 136}, {151, 152}, {15, 16}, {271, 272}, {239, 240},
{207, 208}, {175, 176}, {79, 80}, {47, 48}, {111, 112}, {143, 144}, {128, 166},
{129, 167}, {136, 174}, {137, 175}, {144, 182}, {130, 168}, {131, 169}, {134,
172}, {135, 173}, {132, 170}, {133, 171}, {138, 176}, {139, 177}, {142, 180},
{143, 181}, {140, 178}, {141, 179}, {31, 32}, {287, 288}, {223, 224}, {95, 96},
{159, 160}, {63, 64}, {191, 192}, {1, 145}, {79, 223}, {78, 222}, {77, 221},
{76, 220}, {75, 219}, {74, 218}, {73, 217}, {72, 216}, {71, 215}, {70, 214},
{69, 213}, {68, 212}, {67, 211}, {66, 210}, {65, 209}, {64, 208}, {2, 146}, {3,
147}, {4, 148}, {5, 149}, {6, 150}, {7, 151}, {8, 152}, {9, 153}, {10, 154},
{11, 155}, {12, 156}, {13, 157}, {14, 158}, {15, 159}, {32, 176}, {33, 177},
{34, 178}, {35, 179}, {36, 180}, {37, 181}, {38, 182}, {39, 183}, {40, 184},
{41, 185}, {42, 186}, {43, 187}, {44, 188}, {45, 189}, {46, 190}, {47, 191},
{96, 240}, {97, 241}, {98, 242}, {99, 243}, {100, 244}, {101, 245}, {102, 246},
{103, 247}, {104, 248}, {105, 249}, {106, 250}, {107, 251}, {108, 252}, {109,
253}, {110, 254}, {111, 255}, {1, 144}, {16, 160}, {85, 229}, {84, 228}, {83,
227}, {82, 226}, {81, 225}, {80, 224}, {17, 161}, {18, 162}, {19, 163}, {20,
164}, {21, 165}, {22, 166}, {23, 167}, {24, 168}, {25, 169}, {26, 170}, {27,
171}, {28, 172}, {29, 173}, {30, 174}, {31, 175}, {86, 230}, {87, 231}, {88,
232}, {89, 233}, {90, 234}, {91, 235}, {92, 236}, {93, 237}, {94, 238}, {95,
239}, {1, 183}, {73, 255}, {72, 254}, {65, 247}, {64, 246}, {8, 190}, {9, 191},
{2, 184}, {71, 253}, {70, 252}, {67, 249}, {66, 248}, {3, 185}, {6, 188}, {7,
189}, {4, 186}, {69, 251}, {68, 250}, {5, 187}, {10, 192}, {63, 245}, {62, 244},
{59, 241}, {58, 240}, {11, 193}, {14, 196}, {15, 197}, {26, 208}, {27, 209},
{30, 212}, {31, 213}, {42, 224}, {43, 225}, {46, 228}, {47, 229}, {12, 194},
{61, 243}, {60, 242}, {13, 195}, {28, 210}, {29, 211}, {44, 226}, {45, 227},
{16, 198}, {57, 239}, {56, 238}, {17, 199}, {24, 206}, {25, 207}, {48, 230},
{49, 231}, {18, 200}, {55, 237}, {54, 236}, {51, 233}, {19, 201}, {22, 204},
{23, 205}, {50, 232}, {122, 160}, {123, 161}, {126, 164}, {127, 165}, {20, 202},
{53, 235}, {52, 234}, {21, 203}, {124, 162}, {125, 163}, {112, 150}, {113, 151},
{120, 158}, {121, 159}, {114, 152}, {115, 153}, {118, 156}, {119, 157}, {116,
154}, {117, 155}, {48, 192}, {63, 207}, {62, 206}, {61, 205}, {60, 204}, {59,
203}, {58, 202}, {57, 201}, {56, 200}, {55, 199}, {54, 198}, {53, 197}, {52,
196}, {51, 195}, {49, 193}, {50, 194}, {32, 214}, {33, 215}, {40, 222}, {41,
223}, {34, 216}, {35, 217}, {38, 220}, {39, 221}, {107, 145}, {110, 148}, {111,
149}, {36, 218}, {37, 219}, {108, 146}, {109, 147}, {127, 128}, {74, 256}, {79,
261}, {78, 260}, {75, 257}, {90, 272}, {91, 273}, {94, 276}, {95, 277}, {106,
288}, {76, 258}, {77, 259}, {92, 274}, {93, 275}, {80, 262}, {81, 263}, {88,
270}, {89, 271}, {82, 264}, {83, 265}, {86, 268}, {87, 269}, {84, 266}, {85,
267}, {112, 256}, {113, 257}, {114, 258}, {115, 259}, {116, 260}, {117, 261},
{118, 262}, {119, 263}, {120, 264}, {121, 265}, {122, 266}, {123, 267}, {124,
268}, {125, 269}, {126, 270}, {127, 271}, {96, 278}, {97, 279}, {104, 286},
{105, 287}, {98, 280}, {99, 281}, {102, 284}, {103, 285}, {100, 282}, {101,
283}, {128, 272}, {129, 273}, {130, 274}, {131, 275}, {132, 276}, {133, 277},
{134, 278}, {135, 279}, {136, 280}, {137, 281}, {138, 282}, {139, 283}, {140,
284}, {141, 285}, {142, 286}, {143, 287}, {144, 288}, {145, 288}, {255, 256}
}>;
(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, 195, 196,
197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212,
213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228,
229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244,
245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260,
261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276,
277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288) (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.
**************
&Graph **************
b: (2, 183)(3, 39)(4, 221)(5, 77)(6, 259)(7, 115)(8, 153)(10, 191)(11, 47)(12,
229)(13, 85)(14, 267)(15, 123)(16, 161)(18, 199)(19, 55)(20, 237)(21, 93)(22,
275)(23, 131)(24, 169)(26, 207)(27, 63)(28, 245)(29, 101)(30, 283)(31, 139)(32,
177)(34, 215)(35, 71)(36, 253)(37, 109)(38, 147)(40, 185)(42, 223)(43, 79)(44,
261)(45, 117)(46, 155)(48, 193)(50, 231)(51, 87)(52, 269)(53, 125)(54, 163)(56,
201)(58, 239)(59, 95)(60, 277)(61, 133)(62, 171)(64, 209)(66, 247)(67, 103)(68,
285)(69, 141)(70, 179)(72, 217)(74, 255)(75, 111)(76, 149)(78, 187)(80, 225)(82,
263)(83, 119)(84, 157)(86, 195)(88, 233)(90, 271)(91, 127)(92, 165)(94, 203)(96,
241)(98, 279)(99, 135)(100, 173)(102, 211)(104, 249)(106, 287)(107, 143)(108,
181)(110, 219)(112, 257)(114, 151)(116, 189)(118, 227)(120, 265)(122, 159)(124,
197)(126, 235)(128, 273)(130, 167)(132, 205)(134, 243)(136, 281)(138, 175)(140,
213)(142, 251)(144, 145)(146, 182)(148, 220)(150, 258)(154, 190)(156, 228)(158,
266)(162, 198)(164, 236)(166, 274)(170, 206)(172, 244)(174, 282)(178, 214)(180,
252)(186, 222)(188, 260)(194, 230)(196, 268)(202, 238)(204, 276)(210, 246)(212,
284)(218, 254)(226, 262)(234, 270)(242, 278)(250, 286)
c: (2, 145)(3, 107)(4, 251)(5, 69)(6, 213)(7, 31)(8, 175)(9, 137)(10, 281)(11,
99)(12, 243)(13, 61)(14, 205)(15, 23)(16, 167)(17, 129)(18, 273)(19, 91)(20,
235)(21, 53)(22, 197)(24, 159)(25, 121)(26, 265)(27, 83)(28, 227)(29, 45)(30,
189)(32, 151)(33, 113)(34, 257)(35, 75)(36, 219)(38, 181)(39, 143)(40, 287)(41,
105)(42, 249)(43, 67)(44, 211)(46, 173)(47, 135)(48, 279)(49, 97)(50, 241)(51,
59)(52, 203)(54, 165)(55, 127)(56, 271)(57, 89)(58, 233)(60, 195)(62, 157)(63,
119)(64, 263)(65, 81)(66, 225)(68, 187)(70, 149)(71, 111)(72, 255)(74, 217)(76,
179)(77, 141)(78, 285)(79, 103)(80, 247)(82, 209)(84, 171)(85, 133)(86, 277)(87,
95)(88, 239)(90, 201)(92, 163)(93, 125)(94, 269)(96, 231)(98, 193)(100,
155)(101, 117)(102, 261)(104, 223)(106, 185)(108, 147)(110, 253)(112, 215)(114,
177)(115, 139)(116, 283)(118, 245)(120, 207)(122, 169)(123, 131)(124, 275)(126,
237)(128, 199)(130, 161)(132, 267)(134, 229)(136, 191)(138, 153)(140, 259)(142,
221)(144, 183)(148, 252)(150, 214)(152, 176)(154, 282)(156, 244)(158, 206)(160,
168)(162, 274)(164, 236)(166, 198)(170, 266)(172, 228)(174, 190)(178, 258)(180,
220)(184, 288)(186, 250)(188, 212)(192, 280)(194, 242)(196, 204)(200, 272)(202,
234)(208, 264)(210, 226)(216, 256)(222, 286)(224, 248)(230, 278)(232, 240)(238,
270)(246, 262)(260, 284)(268, 276)
C4[ 288, 8 ]
288
-1 144 2 145 183
-2 1 3 146 184
-3 2 4 147 185
-4 3 5 148 186
-5 187 4 6 149
-6 188 5 7 150
-7 189 6 8 151
-8 190 7 9 152
-9 191 8 10 153
-10 11 154 192 9
-11 12 155 193 10
-12 11 13 156 194
-13 12 14 157 195
-14 13 15 158 196
-15 14 16 159 197
-16 198 15 17 160
-17 199 16 18 161
-18 200 17 19 162
-19 201 18 20 163
-20 202 19 21 164
-21 22 165 203 20
-22 23 166 204 21
-23 22 24 167 205
-24 23 25 168 206
-25 24 26 169 207
-26 25 27 170 208
-27 209 26 28 171
-28 210 27 29 172
-29 211 28 30 173
-30 212 29 31 174
-31 213 30 32 175
-32 33 176 214 31
-33 34 177 215 32
-34 33 35 178 216
-35 34 36 179 217
-36 35 37 180 218
-37 36 38 181 219
-38 220 37 39 182
-39 221 38 40 183
-40 222 39 41 184
-41 223 40 42 185
-42 224 41 43 186
-43 44 187 225 42
-44 45 188 226 43
-45 44 46 189 227
-46 45 47 190 228
-47 46 48 191 229
-48 47 49 192 230
-49 231 48 50 193
-50 232 49 51 194
-51 233 50 52 195
-52 234 51 53 196
-53 235 52 54 197
-54 55 198 236 53
-55 56 199 237 54
-56 55 57 200 238
-57 56 58 201 239
-58 57 59 202 240
-59 58 60 203 241
-60 242 59 61 204
-61 243 60 62 205
-62 244 61 63 206
-63 245 62 64 207
-64 246 63 65 208
-65 66 209 247 64
-66 67 210 248 65
-67 66 68 211 249
-68 67 69 212 250
-69 68 70 213 251
-70 69 71 214 252
-71 253 70 72 215
-72 254 71 73 216
-73 255 72 74 217
-74 256 73 75 218
-75 257 74 76 219
-76 77 220 258 75
-77 78 221 259 76
-78 77 79 222 260
-79 78 80 223 261
-80 79 81 224 262
-81 80 82 225 263
-82 264 81 83 226
-83 265 82 84 227
-84 266 83 85 228
-85 267 84 86 229
-86 268 85 87 230
-87 88 231 269 86
-88 89 232 270 87
-89 88 90 233 271
-90 89 91 234 272
-91 90 92 235 273
-92 91 93 236 274
-93 275 92 94 237
-94 276 93 95 238
-95 277 94 96 239
-96 278 95 97 240
-97 279 96 98 241
-98 99 242 280 97
-99 100 243 281 98
-100 99 101 244 282
-101 100 102 245 283
-102 101 103 246 284
-103 102 104 247 285
-104 286 103 105 248
-105 287 104 106 249
-106 288 105 107 250
-107 145 106 108 251
-108 146 107 109 252
-109 110 253 147 108
-110 111 254 148 109
-111 110 112 255 149
-112 111 113 256 150
-113 112 114 257 151
-114 113 115 258 152
-115 114 116 259 153
-116 154 115 117 260
-117 155 116 118 261
-118 156 117 119 262
-119 157 118 120 263
-120 121 264 158 119
-121 122 265 159 120
-122 121 123 266 160
-123 122 124 267 161
-124 123 125 268 162
-125 124 126 269 163
-126 125 127 270 164
-127 165 126 128 271
-128 166 127 129 272
-129 167 128 130 273
-130 168 129 131 274
-131 132 275 169 130
-132 133 276 170 131
-133 132 134 277 171
-134 133 135 278 172
-135 134 136 279 173
-136 135 137 280 174
-137 136 138 281 175
-138 176 137 139 282
-139 177 138 140 283
-140 178 139 141 284
-141 179 140 142 285
-142 143 286 180 141
-143 144 287 181 142
-144 143 1 288 182
-145 1 288 146 107
-146 2 145 147 108
-147 3 146 148 109
-148 110 4 147 149
-149 111 5 148 150
-150 112 6 149 151
-151 113 7 150 152
-152 114 8 151 153
-153 154 115 9 152
-154 155 116 10 153
-155 11 154 156 117
-156 12 155 157 118
-157 13 156 158 119
-158 14 157 159 120
-159 121 15 158 160
-160 122 16 159 161
-161 123 17 160 162
-162 124 18 161 163
-163 125 19 162 164
-164 165 126 20 163
-165 166 127 21 164
-166 22 165 167 128
-167 23 166 168 129
-168 24 167 169 130
-169 25 168 170 131
-170 132 26 169 171
-171 133 27 170 172
-172 134 28 171 173
-173 135 29 172 174
-174 136 30 173 175
-175 176 137 31 174
-176 177 138 32 175
-177 33 176 178 139
-178 34 177 179 140
-179 35 178 180 141
-180 36 179 181 142
-181 143 37 180 182
-182 144 38 181 183
-183 1 39 182 184
-184 2 40 183 185
-185 3 41 184 186
-186 187 4 42 185
-187 188 5 43 186
-188 44 187 189 6
-189 45 188 190 7
-190 46 189 191 8
-191 47 190 192 9
-192 48 191 193 10
-193 11 49 192 194
-194 12 50 193 195
-195 13 51 194 196
-196 14 52 195 197
-197 198 15 53 196
-198 199 16 54 197
-199 55 198 200 17
-200 56 199 201 18
-201 57 200 202 19
-202 58 201 203 20
-203 59 202 204 21
-204 22 60 203 205
-205 23 61 204 206
-206 24 62 205 207
-207 25 63 206 208
-208 209 26 64 207
-209 210 27 65 208
-210 66 209 211 28
-211 67 210 212 29
-212 68 211 213 30
-213 69 212 214 31
-214 70 213 215 32
-215 33 71 214 216
-216 34 72 215 217
-217 35 73 216 218
-218 36 74 217 219
-219 220 37 75 218
-220 221 38 76 219
-221 77 220 222 39
-222 78 221 223 40
-223 79 222 224 41
-224 80 223 225 42
-225 81 224 226 43
-226 44 82 225 227
-227 45 83 226 228
-228 46 84 227 229
-229 47 85 228 230
-230 231 48 86 229
-231 232 49 87 230
-232 88 231 233 50
-233 89 232 234 51
-234 90 233 235 52
-235 91 234 236 53
-236 92 235 237 54
-237 55 93 236 238
-238 56 94 237 239
-239 57 95 238 240
-240 58 96 239 241
-241 242 59 97 240
-242 243 60 98 241
-243 99 242 244 61
-244 100 243 245 62
-245 101 244 246 63
-246 102 245 247 64
-247 103 246 248 65
-248 66 104 247 249
-249 67 105 248 250
-250 68 106 249 251
-251 69 107 250 252
-252 253 70 108 251
-253 254 71 109 252
-254 110 253 255 72
-255 111 254 256 73
-256 112 255 257 74
-257 113 256 258 75
-258 114 257 259 76
-259 77 115 258 260
-260 78 116 259 261
-261 79 117 260 262
-262 80 118 261 263
-263 264 81 119 262
-264 265 82 120 263
-265 121 264 266 83
-266 122 265 267 84
-267 123 266 268 85
-268 124 267 269 86
-269 125 268 270 87
-270 88 126 269 271
-271 89 127 270 272
-272 90 128 271 273
-273 91 129 272 274
-274 275 92 130 273
-275 276 93 131 274
-276 132 275 277 94
-277 133 276 278 95
-278 134 277 279 96
-279 135 278 280 97
-280 136 279 281 98
-281 99 137 280 282
-282 100 138 281 283
-283 101 139 282 284
-284 102 140 283 285
-285 286 103 141 284
-286 287 104 142 285
-287 143 286 288 105
-288 144 287 145 106
0