Graph forms
for C4 [ 285, 3 ] = C_285(1,134)
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On this page are computer-accessible forms for the graph C4[ 285, 3 ] =
C_285(1,134).
(I) Following is a form readable by MAGMA:
g:=Graph<285|{ {2, 3}, {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}, {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}, {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}, {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}, {1, 2}, {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}, {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}, {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}, {165, 166}, {169, 170}, {173, 174}, {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}, {83,
84}, {75, 76}, {67, 68}, {59, 60}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43,
44}, {51, 52}, {91, 92}, {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},
{175, 176}, {79, 80}, {47, 48}, {111, 112}, {143, 144}, {31, 32}, {223, 224},
{95, 96}, {159, 160}, {63, 64}, {191, 192}, {1, 135}, {88, 222}, {81, 215}, {80,
214}, {73, 207}, {72, 206}, {65, 199}, {64, 198}, {57, 191}, {56, 190}, {8,
142}, {9, 143}, {16, 150}, {17, 151}, {24, 158}, {25, 159}, {32, 166}, {33,
167}, {40, 174}, {41, 175}, {48, 182}, {49, 183}, {89, 223}, {96, 230}, {97,
231}, {104, 238}, {105, 239}, {112, 246}, {113, 247}, {120, 254}, {121, 255},
{2, 136}, {87, 221}, {86, 220}, {83, 217}, {82, 216}, {71, 205}, {70, 204}, {67,
201}, {66, 200}, {55, 189}, {3, 137}, {6, 140}, {7, 141}, {18, 152}, {19, 153},
{22, 156}, {23, 157}, {34, 168}, {35, 169}, {38, 172}, {39, 173}, {50, 184},
{51, 185}, {54, 188}, {98, 232}, {99, 233}, {102, 236}, {103, 237}, {114, 248},
{115, 249}, {118, 252}, {119, 253}, {4, 138}, {85, 219}, {84, 218}, {69, 203},
{68, 202}, {5, 139}, {20, 154}, {21, 155}, {36, 170}, {37, 171}, {52, 186}, {53,
187}, {100, 234}, {101, 235}, {116, 250}, {117, 251}, {8, 159}, {72, 223}, {64,
215}, {32, 183}, {40, 191}, {96, 247}, {104, 255}, {1, 152}, {71, 222}, {69,
220}, {67, 218}, {65, 216}, {3, 154}, {5, 156}, {7, 158}, {33, 184}, {35, 186},
{37, 188}, {39, 190}, {97, 248}, {99, 250}, {101, 252}, {103, 254}, {10, 144},
{79, 213}, {78, 212}, {75, 209}, {74, 208}, {11, 145}, {14, 148}, {15, 149},
{42, 176}, {43, 177}, {46, 180}, {47, 181}, {106, 240}, {107, 241}, {110, 244},
{111, 245}, {2, 153}, {70, 221}, {66, 217}, {6, 157}, {34, 185}, {38, 189}, {98,
249}, {102, 253}, {12, 146}, {77, 211}, {76, 210}, {13, 147}, {44, 178}, {45,
179}, {108, 242}, {109, 243}, {4, 155}, {68, 219}, {36, 187}, {100, 251}, {9,
160}, {79, 230}, {77, 228}, {75, 226}, {73, 224}, {11, 162}, {13, 164}, {15,
166}, {25, 176}, {27, 178}, {29, 180}, {31, 182}, {89, 240}, {91, 242}, {93,
244}, {95, 246}, {10, 161}, {78, 229}, {74, 225}, {14, 165}, {26, 177}, {30,
181}, {90, 241}, {94, 245}, {12, 163}, {76, 227}, {28, 179}, {92, 243}, {16,
167}, {88, 239}, {80, 231}, {24, 175}, {17, 168}, {87, 238}, {85, 236}, {83,
234}, {81, 232}, {19, 170}, {21, 172}, {23, 174}, {26, 160}, {27, 161}, {30,
164}, {31, 165}, {90, 224}, {91, 225}, {94, 228}, {95, 229}, {18, 169}, {86,
237}, {82, 233}, {22, 173}, {28, 162}, {29, 163}, {92, 226}, {93, 227}, {20,
171}, {84, 235}, {41, 192}, {63, 214}, {61, 212}, {59, 210}, {57, 208}, {43,
194}, {45, 196}, {47, 198}, {42, 193}, {62, 213}, {58, 209}, {46, 197}, {44,
195}, {60, 211}, {48, 199}, {56, 207}, {49, 200}, {55, 206}, {51, 202}, {53,
204}, {58, 192}, {63, 197}, {62, 196}, {59, 193}, {50, 201}, {54, 205}, {60,
194}, {61, 195}, {52, 203}, {127, 128}, {1, 285}, {105, 256}, {107, 258}, {109,
260}, {111, 262}, {121, 272}, {123, 274}, {125, 276}, {127, 278}, {106, 257},
{110, 261}, {122, 273}, {126, 277}, {108, 259}, {124, 275}, {112, 263}, {120,
271}, {113, 264}, {115, 266}, {117, 268}, {119, 270}, {122, 256}, {123, 257},
{126, 260}, {127, 261}, {114, 265}, {118, 269}, {124, 258}, {125, 259}, {116,
267}, {128, 262}, {129, 263}, {136, 270}, {137, 271}, {144, 278}, {145, 279},
{130, 264}, {131, 265}, {134, 268}, {135, 269}, {146, 280}, {147, 281}, {150,
284}, {151, 285}, {132, 266}, {133, 267}, {148, 282}, {149, 283}, {128, 279},
{129, 280}, {131, 282}, {133, 284}, {138, 272}, {139, 273}, {142, 276}, {143,
277}, {130, 281}, {134, 285}, {140, 274}, {141, 275}, {132, 283}, {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, 135)(3, 269)(4, 118)(5, 252)(6, 101)(7, 235)(8, 84)(9, 218)(10, 67)(11,
201)(12, 50)(13, 184)(14, 33)(15, 167)(17, 150)(18, 284)(19, 133)(20, 267)(21,
116)(22, 250)(23, 99)(24, 233)(25, 82)(26, 216)(27, 65)(28, 199)(29, 48)(30,
182)(32, 165)(34, 148)(35, 282)(36, 131)(37, 265)(38, 114)(39, 248)(40, 97)(41,
231)(42, 80)(43, 214)(44, 63)(45, 197)(47, 180)(49, 163)(51, 146)(52, 280)(53,
129)(54, 263)(55, 112)(56, 246)(57, 95)(58, 229)(59, 78)(60, 212)(62, 195)(64,
178)(66, 161)(68, 144)(69, 278)(70, 127)(71, 261)(72, 110)(73, 244)(74, 93)(75,
227)(77, 210)(79, 193)(81, 176)(83, 159)(85, 142)(86, 276)(87, 125)(88, 259)(89,
108)(90, 242)(92, 225)(94, 208)(96, 191)(98, 174)(100, 157)(102, 140)(103,
274)(104, 123)(105, 257)(107, 240)(109, 223)(111, 206)(113, 189)(115, 172)(117,
155)(119, 138)(120, 272)(122, 255)(124, 238)(126, 221)(128, 204)(130, 187)(132,
170)(134, 153)(137, 270)(139, 253)(141, 236)(143, 219)(145, 202)(147, 185)(149,
168)(152, 285)(154, 268)(156, 251)(158, 234)(160, 217)(162, 200)(164, 183)(169,
283)(171, 266)(173, 249)(175, 232)(177, 215)(179, 198)(186, 281)(188, 264)(190,
247)(192, 230)(194, 213)(203, 279)(205, 262)(207, 245)(209, 228)(220, 277)(222,
260)(224, 243)(237, 275)(239, 258)(254, 273) (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, 152)(3, 18)(4, 169)(5, 35)(6, 186)(7, 52)(8, 203)(9, 69)(10, 220)(11,
86)(12, 237)(13, 103)(14, 254)(15, 120)(16, 271)(17, 137)(19, 154)(21, 171)(22,
37)(23, 188)(24, 54)(25, 205)(26, 71)(27, 222)(28, 88)(29, 239)(30, 105)(31,
256)(32, 122)(33, 273)(34, 139)(36, 156)(38, 173)(40, 190)(41, 56)(42, 207)(43,
73)(44, 224)(45, 90)(46, 241)(47, 107)(48, 258)(49, 124)(50, 275)(51, 141)(53,
158)(55, 175)(57, 192)(59, 209)(60, 75)(61, 226)(62, 92)(63, 243)(64, 109)(65,
260)(66, 126)(67, 277)(68, 143)(70, 160)(72, 177)(74, 194)(76, 211)(78, 228)(79,
94)(80, 245)(81, 111)(82, 262)(83, 128)(84, 279)(85, 145)(87, 162)(89, 179)(91,
196)(93, 213)(95, 230)(97, 247)(98, 113)(99, 264)(100, 130)(101, 281)(102,
147)(104, 164)(106, 181)(108, 198)(110, 215)(112, 232)(114, 249)(116, 266)(117,
132)(118, 283)(119, 149)(121, 166)(123, 183)(125, 200)(127, 217)(129, 234)(131,
251)(133, 268)(135, 285)(136, 151)(138, 168)(140, 185)(142, 202)(144, 219)(146,
236)(148, 253)(150, 270)(155, 170)(157, 187)(159, 204)(161, 221)(163, 238)(165,
255)(167, 272)(174, 189)(176, 206)(178, 223)(180, 240)(182, 257)(184, 274)(193,
208)(195, 225)(197, 242)(199, 259)(201, 276)(212, 227)(214, 244)(216, 261)(218,
278)(231, 246)(233, 263)(235, 280)(250, 265)(252, 282)(269, 284)
c: (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)
C4[ 285, 3 ]
285
-1 2 135 152 285
-2 1 3 136 153
-3 154 2 4 137
-4 155 3 5 138
-5 156 4 6 139
-6 157 5 7 140
-7 158 6 8 141
-8 159 7 9 142
-9 143 160 8 10
-10 11 144 161 9
-11 12 145 162 10
-12 11 13 146 163
-13 12 14 147 164
-14 165 13 15 148
-15 166 14 16 149
-16 167 15 17 150
-17 168 16 18 151
-18 169 17 19 152
-19 170 18 20 153
-20 154 171 19 21
-21 22 155 172 20
-22 23 156 173 21
-23 22 24 157 174
-24 23 25 158 175
-25 176 24 26 159
-26 177 25 27 160
-27 178 26 28 161
-28 179 27 29 162
-29 180 28 30 163
-30 181 29 31 164
-31 165 182 30 32
-32 33 166 183 31
-33 34 167 184 32
-34 33 35 168 185
-35 34 36 169 186
-36 187 35 37 170
-37 188 36 38 171
-38 189 37 39 172
-39 190 38 40 173
-40 191 39 41 174
-41 192 40 42 175
-42 176 193 41 43
-43 44 177 194 42
-44 45 178 195 43
-45 44 46 179 196
-46 45 47 180 197
-47 198 46 48 181
-48 199 47 49 182
-49 200 48 50 183
-50 201 49 51 184
-51 202 50 52 185
-52 203 51 53 186
-53 187 204 52 54
-54 55 188 205 53
-55 56 189 206 54
-56 55 57 190 207
-57 56 58 191 208
-58 209 57 59 192
-59 210 58 60 193
-60 211 59 61 194
-61 212 60 62 195
-62 213 61 63 196
-63 214 62 64 197
-64 198 215 63 65
-65 66 199 216 64
-66 67 200 217 65
-67 66 68 201 218
-68 67 69 202 219
-69 220 68 70 203
-70 221 69 71 204
-71 222 70 72 205
-72 223 71 73 206
-73 224 72 74 207
-74 225 73 75 208
-75 209 226 74 76
-76 77 210 227 75
-77 78 211 228 76
-78 77 79 212 229
-79 78 80 213 230
-80 231 79 81 214
-81 232 80 82 215
-82 233 81 83 216
-83 234 82 84 217
-84 235 83 85 218
-85 236 84 86 219
-86 220 237 85 87
-87 88 221 238 86
-88 89 222 239 87
-89 88 90 223 240
-90 89 91 224 241
-91 242 90 92 225
-92 243 91 93 226
-93 244 92 94 227
-94 245 93 95 228
-95 246 94 96 229
-96 247 95 97 230
-97 231 248 96 98
-98 99 232 249 97
-99 100 233 250 98
-100 99 101 234 251
-101 100 102 235 252
-102 253 101 103 236
-103 254 102 104 237
-104 255 103 105 238
-105 256 104 106 239
-106 257 105 107 240
-107 258 106 108 241
-108 242 259 107 109
-109 110 243 260 108
-110 111 244 261 109
-111 110 112 245 262
-112 111 113 246 263
-113 264 112 114 247
-114 265 113 115 248
-115 266 114 116 249
-116 267 115 117 250
-117 268 116 118 251
-118 269 117 119 252
-119 253 270 118 120
-120 121 254 271 119
-121 122 255 272 120
-122 121 123 256 273
-123 122 124 257 274
-124 275 123 125 258
-125 276 124 126 259
-126 277 125 127 260
-127 278 126 128 261
-128 279 127 129 262
-129 280 128 130 263
-130 264 281 129 131
-131 132 265 282 130
-132 133 266 283 131
-133 132 134 267 284
-134 133 135 268 285
-135 1 134 136 269
-136 2 135 137 270
-137 3 136 138 271
-138 4 137 139 272
-139 5 138 140 273
-140 6 139 141 274
-141 275 7 140 142
-142 143 276 8 141
-143 144 277 9 142
-144 143 145 278 10
-145 11 144 146 279
-146 12 145 147 280
-147 13 146 148 281
-148 14 147 149 282
-149 15 148 150 283
-150 16 149 151 284
-151 17 150 152 285
-152 1 18 151 153
-153 154 2 19 152
-154 155 3 20 153
-155 154 156 4 21
-156 22 155 157 5
-157 23 156 158 6
-158 24 157 159 7
-159 25 158 160 8
-160 26 159 161 9
-161 27 160 162 10
-162 11 28 161 163
-163 12 29 162 164
-164 165 13 30 163
-165 166 14 31 164
-166 165 167 15 32
-167 33 166 168 16
-168 34 167 169 17
-169 35 168 170 18
-170 36 169 171 19
-171 37 170 172 20
-172 38 171 173 21
-173 22 39 172 174
-174 23 40 173 175
-175 176 24 41 174
-176 177 25 42 175
-177 176 178 26 43
-178 44 177 179 27
-179 45 178 180 28
-180 46 179 181 29
-181 47 180 182 30
-182 48 181 183 31
-183 49 182 184 32
-184 33 50 183 185
-185 34 51 184 186
-186 187 35 52 185
-187 188 36 53 186
-188 187 189 37 54
-189 55 188 190 38
-190 56 189 191 39
-191 57 190 192 40
-192 58 191 193 41
-193 59 192 194 42
-194 60 193 195 43
-195 44 61 194 196
-196 45 62 195 197
-197 198 46 63 196
-198 199 47 64 197
-199 198 200 48 65
-200 66 199 201 49
-201 67 200 202 50
-202 68 201 203 51
-203 69 202 204 52
-204 70 203 205 53
-205 71 204 206 54
-206 55 72 205 207
-207 56 73 206 208
-208 209 57 74 207
-209 210 58 75 208
-210 209 211 59 76
-211 77 210 212 60
-212 78 211 213 61
-213 79 212 214 62
-214 80 213 215 63
-215 81 214 216 64
-216 82 215 217 65
-217 66 83 216 218
-218 67 84 217 219
-219 220 68 85 218
-220 221 69 86 219
-221 220 222 70 87
-222 88 221 223 71
-223 89 222 224 72
-224 90 223 225 73
-225 91 224 226 74
-226 92 225 227 75
-227 93 226 228 76
-228 77 94 227 229
-229 78 95 228 230
-230 231 79 96 229
-231 232 80 97 230
-232 231 233 81 98
-233 99 232 234 82
-234 100 233 235 83
-235 101 234 236 84
-236 102 235 237 85
-237 103 236 238 86
-238 104 237 239 87
-239 88 105 238 240
-240 89 106 239 241
-241 242 90 107 240
-242 243 91 108 241
-243 242 244 92 109
-244 110 243 245 93
-245 111 244 246 94
-246 112 245 247 95
-247 113 246 248 96
-248 114 247 249 97
-249 115 248 250 98
-250 99 116 249 251
-251 100 117 250 252
-252 253 101 118 251
-253 254 102 119 252
-254 253 255 103 120
-255 121 254 256 104
-256 122 255 257 105
-257 123 256 258 106
-258 124 257 259 107
-259 125 258 260 108
-260 126 259 261 109
-261 110 127 260 262
-262 111 128 261 263
-263 264 112 129 262
-264 265 113 130 263
-265 264 266 114 131
-266 132 265 267 115
-267 133 266 268 116
-268 134 267 269 117
-269 135 268 270 118
-270 136 269 271 119
-271 137 270 272 120
-272 121 138 271 273
-273 122 139 272 274
-274 275 123 140 273
-275 276 124 141 274
-276 275 277 125 142
-277 143 276 278 126
-278 144 277 279 127
-279 145 278 280 128
-280 146 279 281 129
-281 147 280 282 130
-282 148 281 283 131
-283 132 149 282 284
-284 133 150 283 285
-285 1 134 151 284
0