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