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