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