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