Graph forms
for C4 [ 280, 4 ] = C_280(1,69)
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On this page are computer-accessible forms for the graph C4[ 280, 4 ] =
C_280(1,69).
(I) Following is a form readable by MAGMA:
g:=Graph<280|{ {2, 3}, {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}, {106, 107}, {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}, {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},
{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}, {1, 2}, {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}, {105, 106}, {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}, {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}, {193, 194}, {197,
198}, {3, 4}, {275, 276}, {267, 268}, {259, 260}, {251, 252}, {243, 244}, {235,
236}, {227, 228}, {219, 220}, {211, 212}, {203, 204}, {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}, {195, 196},
{7, 8}, {279, 280}, {263, 264}, {247, 248}, {231, 232}, {215, 216}, {199, 200},
{103, 104}, {87, 88}, {71, 72}, {23, 24}, {39, 40}, {55, 56}, {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}, {31, 32},
{223, 224}, {95, 96}, {159, 160}, {2, 71}, {58, 127}, {56, 125}, {8, 77}, {10,
79}, {16, 85}, {18, 87}, {24, 93}, {26, 95}, {32, 101}, {34, 103}, {40, 109},
{42, 111}, {48, 117}, {50, 119}, {128, 197}, {130, 199}, {136, 205}, {138, 207},
{144, 213}, {146, 215}, {152, 221}, {154, 223}, {160, 229}, {162, 231}, {168,
237}, {170, 239}, {176, 245}, {178, 247}, {184, 253}, {186, 255}, {1, 70}, {57,
126}, {9, 78}, {17, 86}, {25, 94}, {33, 102}, {41, 110}, {49, 118}, {129, 198},
{137, 206}, {145, 214}, {153, 222}, {161, 230}, {169, 238}, {177, 246}, {185,
254}, {3, 72}, {7, 76}, {19, 88}, {23, 92}, {35, 104}, {39, 108}, {51, 120},
{55, 124}, {131, 200}, {135, 204}, {147, 216}, {151, 220}, {163, 232}, {167,
236}, {179, 248}, {183, 252}, {4, 73}, {6, 75}, {20, 89}, {22, 91}, {36, 105},
{38, 107}, {52, 121}, {54, 123}, {132, 201}, {134, 203}, {148, 217}, {150, 219},
{164, 233}, {166, 235}, {180, 249}, {182, 251}, {5, 74}, {21, 90}, {37, 106},
{53, 122}, {133, 202}, {149, 218}, {165, 234}, {181, 250}, {11, 80}, {15, 84},
{43, 112}, {47, 116}, {139, 208}, {143, 212}, {171, 240}, {175, 244}, {12, 81},
{14, 83}, {44, 113}, {46, 115}, {140, 209}, {142, 211}, {172, 241}, {174, 243},
{13, 82}, {45, 114}, {141, 210}, {173, 242}, {27, 96}, {31, 100}, {155, 224},
{159, 228}, {28, 97}, {30, 99}, {156, 225}, {158, 227}, {29, 98}, {63, 64},
{157, 226}, {191, 192}, {59, 128}, {63, 132}, {123, 192}, {127, 196}, {60, 129},
{62, 131}, {124, 193}, {126, 195}, {61, 130}, {125, 194}, {64, 133}, {104, 173},
{98, 167}, {96, 165}, {90, 159}, {88, 157}, {82, 151}, {80, 149}, {74, 143},
{72, 141}, {66, 135}, {106, 175}, {112, 181}, {114, 183}, {120, 189}, {122,
191}, {65, 134}, {105, 174}, {97, 166}, {89, 158}, {81, 150}, {73, 142}, {113,
182}, {121, 190}, {67, 136}, {103, 172}, {99, 168}, {87, 156}, {83, 152}, {71,
140}, {115, 184}, {119, 188}, {68, 137}, {102, 171}, {100, 169}, {86, 155}, {84,
153}, {70, 139}, {116, 185}, {118, 187}, {69, 138}, {101, 170}, {85, 154}, {117,
186}, {4, 215}, {8, 219}, {12, 223}, {32, 243}, {36, 247}, {40, 251}, {44, 255},
{1, 212}, {3, 214}, {9, 220}, {11, 222}, {33, 244}, {35, 246}, {41, 252}, {43,
254}, {2, 213}, {10, 221}, {34, 245}, {42, 253}, {75, 144}, {79, 148}, {107,
176}, {111, 180}, {5, 216}, {78, 147}, {76, 145}, {7, 218}, {37, 248}, {39,
250}, {108, 177}, {110, 179}, {6, 217}, {77, 146}, {38, 249}, {109, 178}, {13,
224}, {15, 226}, {29, 240}, {31, 242}, {14, 225}, {30, 241}, {16, 227}, {20,
231}, {24, 235}, {28, 239}, {17, 228}, {19, 230}, {25, 236}, {27, 238}, {18,
229}, {26, 237}, {91, 160}, {95, 164}, {21, 232}, {94, 163}, {92, 161}, {23,
234}, {22, 233}, {93, 162}, {127, 128}, {1, 280}, {45, 256}, {63, 274}, {61,
272}, {47, 258}, {46, 257}, {62, 273}, {48, 259}, {60, 271}, {56, 267}, {52,
263}, {49, 260}, {59, 270}, {57, 268}, {51, 262}, {50, 261}, {58, 269}, {53,
264}, {55, 266}, {54, 265}, {64, 275}, {68, 279}, {65, 276}, {67, 278}, {66,
277}, {69, 280}, {187, 256}, {191, 260}, {188, 257}, {190, 259}, {189, 258},
{192, 261}, {210, 279}, {208, 277}, {202, 271}, {200, 269}, {194, 263}, {193,
262}, {209, 278}, {201, 270}, {195, 264}, {211, 280}, {199, 268}, {196, 265},
{198, 267}, {197, 266}, {203, 272}, {207, 276}, {204, 273}, {206, 275}, {205,
274}, {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, 70)(3, 139)(4, 208)(5, 277)(6, 66)(7, 135)(8, 204)(9, 273)(10, 62)(11,
131)(12, 200)(13, 269)(14, 58)(15, 127)(16, 196)(17, 265)(18, 54)(19, 123)(20,
192)(21, 261)(22, 50)(23, 119)(24, 188)(25, 257)(26, 46)(27, 115)(28, 184)(29,
253)(30, 42)(31, 111)(32, 180)(33, 249)(34, 38)(35, 107)(36, 176)(37, 245)(39,
103)(40, 172)(41, 241)(43, 99)(44, 168)(45, 237)(47, 95)(48, 164)(49, 233)(51,
91)(52, 160)(53, 229)(55, 87)(56, 156)(57, 225)(59, 83)(60, 152)(61, 221)(63,
79)(64, 148)(65, 217)(67, 75)(68, 144)(69, 213)(72, 140)(73, 209)(74, 278)(76,
136)(77, 205)(78, 274)(80, 132)(81, 201)(82, 270)(84, 128)(85, 197)(86, 266)(88,
124)(89, 193)(90, 262)(92, 120)(93, 189)(94, 258)(96, 116)(97, 185)(98,
254)(100, 112)(101, 181)(102, 250)(104, 108)(105, 177)(106, 246)(109, 173)(110,
242)(113, 169)(114, 238)(117, 165)(118, 234)(121, 161)(122, 230)(125, 157)(126,
226)(129, 153)(130, 222)(133, 149)(134, 218)(137, 145)(138, 214)(142, 210)(143,
279)(146, 206)(147, 275)(150, 202)(151, 271)(154, 198)(155, 267)(158, 194)(159,
263)(162, 190)(163, 259)(166, 186)(167, 255)(170, 182)(171, 251)(174, 178)(175,
247)(179, 243)(183, 239)(187, 235)(191, 231)(195, 227)(199, 223)(203, 219)(207,
215)(212, 280)(216, 276)(220, 272)(224, 268)(228, 264)(232, 260)(236, 256)(240,
252)(244, 248) (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)
c: (2, 212)(3, 143)(4, 74)(6, 216)(7, 147)(8, 78)(10, 220)(11, 151)(12, 82)(14,
224)(15, 155)(16, 86)(18, 228)(19, 159)(20, 90)(22, 232)(23, 163)(24, 94)(26,
236)(27, 167)(28, 98)(30, 240)(31, 171)(32, 102)(34, 244)(35, 175)(36, 106)(38,
248)(39, 179)(40, 110)(42, 252)(43, 183)(44, 114)(46, 256)(47, 187)(48, 118)(50,
260)(51, 191)(52, 122)(54, 264)(55, 195)(56, 126)(58, 268)(59, 199)(60, 130)(62,
272)(63, 203)(64, 134)(66, 276)(67, 207)(68, 138)(70, 280)(71, 211)(72, 142)(75,
215)(76, 146)(79, 219)(80, 150)(83, 223)(84, 154)(87, 227)(88, 158)(91, 231)(92,
162)(95, 235)(96, 166)(99, 239)(100, 170)(103, 243)(104, 174)(107, 247)(108,
178)(111, 251)(112, 182)(115, 255)(116, 186)(119, 259)(120, 190)(123, 263)(124,
194)(127, 267)(128, 198)(131, 271)(132, 202)(135, 275)(136, 206)(139, 279)(140,
210)(144, 214)(148, 218)(152, 222)(156, 226)(160, 230)(164, 234)(168, 238)(172,
242)(176, 246)(180, 250)(184, 254)(188, 258)(192, 262)(196, 266)(200, 270)(204,
274)(208, 278)
C4[ 280, 4 ]
280
-1 2 212 70 280
-2 1 3 213 71
-3 2 4 214 72
-4 3 5 215 73
-5 4 6 216 74
-6 5 7 217 75
-7 6 8 218 76
-8 77 7 9 219
-9 220 78 8 10
-10 11 221 79 9
-11 12 222 80 10
-12 11 13 223 81
-13 12 14 224 82
-14 13 15 225 83
-15 14 16 226 84
-16 15 17 227 85
-17 16 18 228 86
-18 17 19 229 87
-19 88 18 20 230
-20 231 89 19 21
-21 22 232 90 20
-22 23 233 91 21
-23 22 24 234 92
-24 23 25 235 93
-25 24 26 236 94
-26 25 27 237 95
-27 26 28 238 96
-28 27 29 239 97
-29 28 30 240 98
-30 99 29 31 241
-31 242 100 30 32
-32 33 243 101 31
-33 34 244 102 32
-34 33 35 245 103
-35 34 36 246 104
-36 35 37 247 105
-37 36 38 248 106
-38 37 39 249 107
-39 38 40 250 108
-40 39 41 251 109
-41 110 40 42 252
-42 253 111 41 43
-43 44 254 112 42
-44 45 255 113 43
-45 44 46 256 114
-46 45 47 257 115
-47 46 48 258 116
-48 47 49 259 117
-49 48 50 260 118
-50 49 51 261 119
-51 50 52 262 120
-52 121 51 53 263
-53 264 122 52 54
-54 55 265 123 53
-55 56 266 124 54
-56 55 57 267 125
-57 56 58 268 126
-58 57 59 269 127
-59 58 60 270 128
-60 59 61 271 129
-61 60 62 272 130
-62 61 63 273 131
-63 132 62 64 274
-64 275 133 63 65
-65 66 276 134 64
-66 67 277 135 65
-67 66 68 278 136
-68 67 69 279 137
-69 68 70 280 138
-70 1 69 71 139
-71 2 70 72 140
-72 3 71 73 141
-73 4 72 74 142
-74 143 5 73 75
-75 144 6 74 76
-76 77 145 7 75
-77 78 146 8 76
-78 77 79 147 9
-79 78 80 148 10
-80 11 79 81 149
-81 12 80 82 150
-82 13 81 83 151
-83 14 82 84 152
-84 15 83 85 153
-85 154 16 84 86
-86 155 17 85 87
-87 88 156 18 86
-88 89 157 19 87
-89 88 90 158 20
-90 89 91 159 21
-91 22 90 92 160
-92 23 91 93 161
-93 24 92 94 162
-94 25 93 95 163
-95 26 94 96 164
-96 165 27 95 97
-97 166 28 96 98
-98 99 167 29 97
-99 100 168 30 98
-100 99 101 169 31
-101 100 102 170 32
-102 33 101 103 171
-103 34 102 104 172
-104 35 103 105 173
-105 36 104 106 174
-106 37 105 107 175
-107 176 38 106 108
-108 177 39 107 109
-109 110 178 40 108
-110 111 179 41 109
-111 110 112 180 42
-112 111 113 181 43
-113 44 112 114 182
-114 45 113 115 183
-115 46 114 116 184
-116 47 115 117 185
-117 48 116 118 186
-118 187 49 117 119
-119 188 50 118 120
-120 121 189 51 119
-121 122 190 52 120
-122 121 123 191 53
-123 122 124 192 54
-124 55 123 125 193
-125 56 124 126 194
-126 57 125 127 195
-127 58 126 128 196
-128 59 127 129 197
-129 198 60 128 130
-130 199 61 129 131
-131 132 200 62 130
-132 133 201 63 131
-133 132 134 202 64
-134 133 135 203 65
-135 66 134 136 204
-136 67 135 137 205
-137 68 136 138 206
-138 69 137 139 207
-139 70 138 140 208
-140 209 71 139 141
-141 210 72 140 142
-142 143 211 73 141
-143 144 212 74 142
-144 143 145 213 75
-145 144 146 214 76
-146 77 145 147 215
-147 78 146 148 216
-148 79 147 149 217
-149 80 148 150 218
-150 81 149 151 219
-151 220 82 150 152
-152 221 83 151 153
-153 154 222 84 152
-154 155 223 85 153
-155 154 156 224 86
-156 155 157 225 87
-157 88 156 158 226
-158 89 157 159 227
-159 90 158 160 228
-160 91 159 161 229
-161 92 160 162 230
-162 231 93 161 163
-163 232 94 162 164
-164 165 233 95 163
-165 166 234 96 164
-166 165 167 235 97
-167 166 168 236 98
-168 99 167 169 237
-169 100 168 170 238
-170 101 169 171 239
-171 102 170 172 240
-172 103 171 173 241
-173 242 104 172 174
-174 243 105 173 175
-175 176 244 106 174
-176 177 245 107 175
-177 176 178 246 108
-178 177 179 247 109
-179 110 178 180 248
-180 111 179 181 249
-181 112 180 182 250
-182 113 181 183 251
-183 114 182 184 252
-184 253 115 183 185
-185 254 116 184 186
-186 187 255 117 185
-187 188 256 118 186
-188 187 189 257 119
-189 188 190 258 120
-190 121 189 191 259
-191 122 190 192 260
-192 123 191 193 261
-193 124 192 194 262
-194 125 193 195 263
-195 264 126 194 196
-196 265 127 195 197
-197 198 266 128 196
-198 199 267 129 197
-199 198 200 268 130
-200 199 201 269 131
-201 132 200 202 270
-202 133 201 203 271
-203 134 202 204 272
-204 135 203 205 273
-205 136 204 206 274
-206 275 137 205 207
-207 276 138 206 208
-208 209 277 139 207
-209 210 278 140 208
-210 209 211 279 141
-211 210 212 280 142
-212 143 1 211 213
-213 144 2 212 214
-214 145 3 213 215
-215 146 4 214 216
-216 147 5 215 217
-217 148 6 216 218
-218 149 7 217 219
-219 220 150 8 218
-220 221 151 9 219
-221 220 222 152 10
-222 11 221 223 153
-223 154 12 222 224
-224 155 13 223 225
-225 156 14 224 226
-226 157 15 225 227
-227 158 16 226 228
-228 159 17 227 229
-229 160 18 228 230
-230 231 161 19 229
-231 232 162 20 230
-232 231 233 163 21
-233 22 232 234 164
-234 165 23 233 235
-235 166 24 234 236
-236 167 25 235 237
-237 168 26 236 238
-238 169 27 237 239
-239 170 28 238 240
-240 171 29 239 241
-241 242 172 30 240
-242 243 173 31 241
-243 242 244 174 32
-244 33 243 245 175
-245 176 34 244 246
-246 177 35 245 247
-247 178 36 246 248
-248 179 37 247 249
-249 180 38 248 250
-250 181 39 249 251
-251 182 40 250 252
-252 253 183 41 251
-253 254 184 42 252
-254 253 255 185 43
-255 44 254 256 186
-256 187 45 255 257
-257 188 46 256 258
-258 189 47 257 259
-259 190 48 258 260
-260 191 49 259 261
-261 192 50 260 262
-262 193 51 261 263
-263 264 194 52 262
-264 265 195 53 263
-265 264 266 196 54
-266 55 265 267 197
-267 198 56 266 268
-268 199 57 267 269
-269 200 58 268 270
-270 201 59 269 271
-271 202 60 270 272
-272 203 61 271 273
-273 204 62 272 274
-274 275 205 63 273
-275 276 206 64 274
-276 275 277 207 65
-277 66 276 278 208
-278 209 67 277 279
-279 210 68 278 280
-280 1 211 69 279
0