Graph forms
for C4 [ 276, 2 ] = C_276(1,47)
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On this page are computer-accessible forms for the graph C4[ 276, 2 ] =
C_276(1,47).
(I) Following is a form readable by MAGMA:
g:=Graph<276|{ {2, 3}, {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}, {114, 115},
{112, 113}, {110, 111}, {108, 109}, {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}, {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},
{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}, {1, 2}, {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}, {113, 114}, {109, 110}, {105,
106}, {101, 102}, {97, 98}, {93, 94}, {89, 90}, {85, 86}, {81, 82}, {77, 78},
{73, 74}, {69, 70}, {65, 66}, {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},
{57, 58}, {61, 62}, {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}, {201, 202}, {3, 4}, {275, 276}, {267, 268},
{259, 260}, {251, 252}, {243, 244}, {235, 236}, {227, 228}, {219, 220}, {211,
212}, {107, 108}, {99, 100}, {91, 92}, {83, 84}, {75, 76}, {67, 68}, {11, 12},
{19, 20}, {27, 28}, {35, 36}, {43, 44}, {51, 52}, {59, 60}, {115, 116}, {123,
124}, {131, 132}, {139, 140}, {147, 148}, {155, 156}, {163, 164}, {171, 172},
{179, 180}, {187, 188}, {195, 196}, {203, 204}, {7, 8}, {263, 264}, {247, 248},
{231, 232}, {215, 216}, {103, 104}, {87, 88}, {71, 72}, {23, 24}, {39, 40}, {55,
56}, {119, 120}, {135, 136}, {151, 152}, {167, 168}, {183, 184}, {199, 200},
{15, 16}, {271, 272}, {239, 240}, {207, 208}, {111, 112}, {79, 80}, {47, 48},
{143, 144}, {175, 176}, {16, 63}, {208, 255}, {80, 127}, {64, 111}, {128, 175},
{144, 191}, {192, 239}, {1, 48}, {207, 254}, {205, 252}, {203, 250}, {79, 126},
{77, 124}, {75, 122}, {73, 120}, {71, 118}, {69, 116}, {67, 114}, {65, 112}, {3,
50}, {5, 52}, {7, 54}, {9, 56}, {11, 58}, {13, 60}, {15, 62}, {129, 176}, {131,
178}, {133, 180}, {135, 182}, {137, 184}, {139, 186}, {141, 188}, {143, 190},
{193, 240}, {195, 242}, {197, 244}, {199, 246}, {201, 248}, {2, 49}, {206, 253},
{78, 125}, {74, 121}, {70, 117}, {66, 113}, {6, 53}, {10, 57}, {14, 61}, {130,
177}, {134, 181}, {138, 185}, {142, 189}, {194, 241}, {198, 245}, {202, 249},
{4, 51}, {204, 251}, {76, 123}, {68, 115}, {12, 59}, {132, 179}, {140, 187},
{196, 243}, {8, 55}, {223, 224}, {95, 96}, {72, 119}, {31, 32}, {136, 183},
{159, 160}, {200, 247}, {17, 64}, {63, 110}, {61, 108}, {19, 66}, {21, 68}, {23,
70}, {25, 72}, {27, 74}, {29, 76}, {31, 78}, {49, 96}, {51, 98}, {53, 100}, {55,
102}, {57, 104}, {59, 106}, {145, 192}, {147, 194}, {149, 196}, {151, 198},
{153, 200}, {155, 202}, {157, 204}, {159, 206}, {177, 224}, {179, 226}, {181,
228}, {183, 230}, {185, 232}, {187, 234}, {189, 236}, {191, 238}, {18, 65}, {62,
109}, {22, 69}, {26, 73}, {30, 77}, {50, 97}, {54, 101}, {58, 105}, {146, 193},
{150, 197}, {154, 201}, {158, 205}, {178, 225}, {182, 229}, {186, 233}, {190,
237}, {20, 67}, {28, 75}, {52, 99}, {60, 107}, {148, 195}, {156, 203}, {180,
227}, {188, 235}, {24, 71}, {56, 103}, {152, 199}, {184, 231}, {32, 79}, {48,
95}, {160, 207}, {176, 223}, {33, 80}, {35, 82}, {37, 84}, {39, 86}, {41, 88},
{43, 90}, {45, 92}, {47, 94}, {161, 208}, {163, 210}, {165, 212}, {167, 214},
{169, 216}, {171, 218}, {173, 220}, {175, 222}, {34, 81}, {38, 85}, {42, 89},
{46, 93}, {162, 209}, {166, 213}, {170, 217}, {174, 221}, {36, 83}, {44, 91},
{164, 211}, {172, 219}, {40, 87}, {63, 64}, {168, 215}, {191, 192}, {81, 128},
{113, 160}, {95, 142}, {93, 140}, {91, 138}, {89, 136}, {87, 134}, {85, 132},
{83, 130}, {115, 162}, {117, 164}, {119, 166}, {121, 168}, {123, 170}, {125,
172}, {127, 174}, {82, 129}, {114, 161}, {94, 141}, {90, 137}, {86, 133}, {118,
165}, {122, 169}, {126, 173}, {84, 131}, {92, 139}, {116, 163}, {124, 171}, {88,
135}, {120, 167}, {2, 231}, {8, 237}, {10, 239}, {16, 245}, {18, 247}, {24,
253}, {26, 255}, {1, 230}, {9, 238}, {17, 246}, {25, 254}, {3, 232}, {7, 236},
{19, 248}, {23, 252}, {4, 233}, {6, 235}, {20, 249}, {22, 251}, {5, 234}, {112,
159}, {96, 143}, {21, 250}, {97, 144}, {111, 158}, {109, 156}, {107, 154}, {105,
152}, {103, 150}, {101, 148}, {99, 146}, {98, 145}, {110, 157}, {106, 153},
{102, 149}, {100, 147}, {108, 155}, {11, 240}, {15, 244}, {12, 241}, {14, 243},
{13, 242}, {104, 151}, {127, 128}, {1, 276}, {27, 256}, {31, 260}, {28, 257},
{30, 259}, {29, 258}, {32, 261}, {34, 263}, {40, 269}, {42, 271}, {33, 262},
{41, 270}, {35, 264}, {39, 268}, {36, 265}, {38, 267}, {37, 266}, {43, 272},
{47, 276}, {44, 273}, {46, 275}, {45, 274}, {209, 256}, {223, 270}, {221, 268},
{219, 266}, {217, 264}, {215, 262}, {213, 260}, {211, 258}, {210, 257}, {222,
269}, {218, 265}, {214, 261}, {212, 259}, {220, 267}, {216, 263}, {224, 271},
{225, 272}, {229, 276}, {227, 274}, {226, 273}, {228, 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: (2, 48)(3, 95)(4, 142)(5, 189)(6, 236)(8, 54)(9, 101)(10, 148)(11, 195)(12,
242)(14, 60)(15, 107)(16, 154)(17, 201)(18, 248)(20, 66)(21, 113)(22, 160)(23,
207)(24, 254)(26, 72)(27, 119)(28, 166)(29, 213)(30, 260)(32, 78)(33, 125)(34,
172)(35, 219)(36, 266)(38, 84)(39, 131)(40, 178)(41, 225)(42, 272)(44, 90)(45,
137)(46, 184)(47, 231)(50, 96)(51, 143)(52, 190)(53, 237)(56, 102)(57, 149)(58,
196)(59, 243)(62, 108)(63, 155)(64, 202)(65, 249)(68, 114)(69, 161)(70, 208)(71,
255)(74, 120)(75, 167)(76, 214)(77, 261)(80, 126)(81, 173)(82, 220)(83, 267)(86,
132)(87, 179)(88, 226)(89, 273)(92, 138)(93, 185)(94, 232)(98, 144)(99,
191)(100, 238)(104, 150)(105, 197)(106, 244)(110, 156)(111, 203)(112, 250)(116,
162)(117, 209)(118, 256)(122, 168)(123, 215)(124, 262)(128, 174)(129, 221)(130,
268)(134, 180)(135, 227)(136, 274)(140, 186)(141, 233)(146, 192)(147, 239)(152,
198)(153, 245)(158, 204)(159, 251)(164, 210)(165, 257)(170, 216)(171, 263)(176,
222)(177, 269)(182, 228)(183, 275)(188, 234)(194, 240)(200, 246)(206, 252)(212,
258)(218, 264)(224, 270)(230, 276) (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, 230)(3, 183)(4, 136)(5, 89)(6, 42)(7, 271)(8, 224)(9, 177)(10, 130)(11,
83)(12, 36)(13, 265)(14, 218)(15, 171)(16, 124)(17, 77)(18, 30)(19, 259)(20,
212)(21, 165)(22, 118)(23, 71)(25, 253)(26, 206)(27, 159)(28, 112)(29, 65)(31,
247)(32, 200)(33, 153)(34, 106)(35, 59)(37, 241)(38, 194)(39, 147)(40, 100)(41,
53)(43, 235)(44, 188)(45, 141)(46, 94)(48, 276)(49, 229)(50, 182)(51, 135)(52,
88)(54, 270)(55, 223)(56, 176)(57, 129)(58, 82)(60, 264)(61, 217)(62, 170)(63,
123)(64, 76)(66, 258)(67, 211)(68, 164)(69, 117)(72, 252)(73, 205)(74, 158)(75,
111)(78, 246)(79, 199)(80, 152)(81, 105)(84, 240)(85, 193)(86, 146)(87, 99)(90,
234)(91, 187)(92, 140)(95, 275)(96, 228)(97, 181)(98, 134)(101, 269)(102,
222)(103, 175)(104, 128)(107, 263)(108, 216)(109, 169)(110, 122)(113, 257)(114,
210)(115, 163)(119, 251)(120, 204)(121, 157)(125, 245)(126, 198)(127, 151)(131,
239)(132, 192)(133, 145)(137, 233)(138, 186)(142, 274)(143, 227)(144, 180)(148,
268)(149, 221)(150, 174)(154, 262)(155, 215)(156, 168)(160, 256)(161, 209)(166,
250)(167, 203)(172, 244)(173, 197)(178, 238)(179, 191)(184, 232)(189, 273)(190,
226)(195, 267)(196, 220)(201, 261)(202, 214)(207, 255)(213, 249)(219, 243)(225,
237)(236, 272)(242, 266)(248, 260)
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)
C4[ 276, 2 ]
276
-1 276 2 48 230
-2 231 1 3 49
-3 232 2 4 50
-4 233 3 5 51
-5 234 4 6 52
-6 235 5 7 53
-7 236 6 8 54
-8 55 237 7 9
-9 56 238 8 10
-10 11 57 239 9
-11 12 58 240 10
-12 11 13 59 241
-13 242 12 14 60
-14 243 13 15 61
-15 244 14 16 62
-16 245 15 17 63
-17 246 16 18 64
-18 247 17 19 65
-19 66 248 18 20
-20 67 249 19 21
-21 22 68 250 20
-22 23 69 251 21
-23 22 24 70 252
-24 253 23 25 71
-25 254 24 26 72
-26 255 25 27 73
-27 256 26 28 74
-28 257 27 29 75
-29 258 28 30 76
-30 77 259 29 31
-31 78 260 30 32
-32 33 79 261 31
-33 34 80 262 32
-34 33 35 81 263
-35 264 34 36 82
-36 265 35 37 83
-37 266 36 38 84
-38 267 37 39 85
-39 268 38 40 86
-40 269 39 41 87
-41 88 270 40 42
-42 89 271 41 43
-43 44 90 272 42
-44 45 91 273 43
-45 44 46 92 274
-46 275 45 47 93
-47 276 46 48 94
-48 1 47 49 95
-49 2 48 50 96
-50 3 49 51 97
-51 4 50 52 98
-52 99 5 51 53
-53 100 6 52 54
-54 55 101 7 53
-55 56 102 8 54
-56 55 57 103 9
-57 56 58 104 10
-58 11 57 59 105
-59 12 58 60 106
-60 13 59 61 107
-61 14 60 62 108
-62 15 61 63 109
-63 110 16 62 64
-64 111 17 63 65
-65 66 112 18 64
-66 67 113 19 65
-67 66 68 114 20
-68 67 69 115 21
-69 22 68 70 116
-70 23 69 71 117
-71 24 70 72 118
-72 25 71 73 119
-73 26 72 74 120
-74 121 27 73 75
-75 122 28 74 76
-76 77 123 29 75
-77 78 124 30 76
-78 77 79 125 31
-79 78 80 126 32
-80 33 79 81 127
-81 34 80 82 128
-82 35 81 83 129
-83 36 82 84 130
-84 37 83 85 131
-85 132 38 84 86
-86 133 39 85 87
-87 88 134 40 86
-88 89 135 41 87
-89 88 90 136 42
-90 89 91 137 43
-91 44 90 92 138
-92 45 91 93 139
-93 46 92 94 140
-94 47 93 95 141
-95 48 94 96 142
-96 143 49 95 97
-97 144 50 96 98
-98 99 145 51 97
-99 100 146 52 98
-100 99 101 147 53
-101 100 102 148 54
-102 55 101 103 149
-103 56 102 104 150
-104 57 103 105 151
-105 58 104 106 152
-106 59 105 107 153
-107 154 60 106 108
-108 155 61 107 109
-109 110 156 62 108
-110 111 157 63 109
-111 110 112 158 64
-112 111 113 159 65
-113 66 112 114 160
-114 67 113 115 161
-115 68 114 116 162
-116 69 115 117 163
-117 70 116 118 164
-118 165 71 117 119
-119 166 72 118 120
-120 121 167 73 119
-121 122 168 74 120
-122 121 123 169 75
-123 122 124 170 76
-124 77 123 125 171
-125 78 124 126 172
-126 79 125 127 173
-127 80 126 128 174
-128 81 127 129 175
-129 176 82 128 130
-130 177 83 129 131
-131 132 178 84 130
-132 133 179 85 131
-133 132 134 180 86
-134 133 135 181 87
-135 88 134 136 182
-136 89 135 137 183
-137 90 136 138 184
-138 91 137 139 185
-139 92 138 140 186
-140 187 93 139 141
-141 188 94 140 142
-142 143 189 95 141
-143 144 190 96 142
-144 143 145 191 97
-145 144 146 192 98
-146 99 145 147 193
-147 100 146 148 194
-148 101 147 149 195
-149 102 148 150 196
-150 103 149 151 197
-151 198 104 150 152
-152 199 105 151 153
-153 154 200 106 152
-154 155 201 107 153
-155 154 156 202 108
-156 155 157 203 109
-157 110 156 158 204
-158 111 157 159 205
-159 112 158 160 206
-160 113 159 161 207
-161 114 160 162 208
-162 209 115 161 163
-163 210 116 162 164
-164 165 211 117 163
-165 166 212 118 164
-166 165 167 213 119
-167 166 168 214 120
-168 121 167 169 215
-169 122 168 170 216
-170 123 169 171 217
-171 124 170 172 218
-172 125 171 173 219
-173 220 126 172 174
-174 221 127 173 175
-175 176 222 128 174
-176 177 223 129 175
-177 176 178 224 130
-178 177 179 225 131
-179 132 178 180 226
-180 133 179 181 227
-181 134 180 182 228
-182 135 181 183 229
-183 136 182 184 230
-184 231 137 183 185
-185 232 138 184 186
-186 187 233 139 185
-187 188 234 140 186
-188 187 189 235 141
-189 188 190 236 142
-190 143 189 191 237
-191 144 190 192 238
-192 145 191 193 239
-193 146 192 194 240
-194 147 193 195 241
-195 242 148 194 196
-196 243 149 195 197
-197 198 244 150 196
-198 199 245 151 197
-199 198 200 246 152
-200 199 201 247 153
-201 154 200 202 248
-202 155 201 203 249
-203 156 202 204 250
-204 157 203 205 251
-205 158 204 206 252
-206 253 159 205 207
-207 254 160 206 208
-208 209 255 161 207
-209 210 256 162 208
-210 209 211 257 163
-211 210 212 258 164
-212 165 211 213 259
-213 166 212 214 260
-214 167 213 215 261
-215 168 214 216 262
-216 169 215 217 263
-217 264 170 216 218
-218 265 171 217 219
-219 220 266 172 218
-220 221 267 173 219
-221 220 222 268 174
-222 221 223 269 175
-223 176 222 224 270
-224 177 223 225 271
-225 178 224 226 272
-226 179 225 227 273
-227 180 226 228 274
-228 275 181 227 229
-229 276 182 228 230
-230 231 1 183 229
-231 232 2 184 230
-232 231 233 3 185
-233 232 234 4 186
-234 187 233 235 5
-235 188 234 236 6
-236 189 235 237 7
-237 190 236 238 8
-238 191 237 239 9
-239 192 238 240 10
-240 11 193 239 241
-241 242 12 194 240
-242 243 13 195 241
-243 242 244 14 196
-244 243 245 15 197
-245 198 244 246 16
-246 199 245 247 17
-247 200 246 248 18
-248 201 247 249 19
-249 202 248 250 20
-250 203 249 251 21
-251 22 204 250 252
-252 253 23 205 251
-253 254 24 206 252
-254 253 255 25 207
-255 254 256 26 208
-256 209 255 257 27
-257 210 256 258 28
-258 211 257 259 29
-259 212 258 260 30
-260 213 259 261 31
-261 214 260 262 32
-262 33 215 261 263
-263 264 34 216 262
-264 265 35 217 263
-265 264 266 36 218
-266 265 267 37 219
-267 220 266 268 38
-268 221 267 269 39
-269 222 268 270 40
-270 223 269 271 41
-271 224 270 272 42
-272 225 271 273 43
-273 44 226 272 274
-274 275 45 227 273
-275 276 46 228 274
-276 275 1 47 229
0