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