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