Graph forms
for C4 [ 281, 1 ] = C_281(1,53)
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On this page are computer-accessible forms for the graph C4[ 281, 1 ] =
C_281(1,53).
(I) Following is a form readable by MAGMA:
g:=Graph<281|{ {2, 3}, {280, 281}, {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}, {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}, {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}, {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}, {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}, {109, 110}, {105, 106}, {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}, {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}, {197, 198}, {3, 4}, {275, 276}, {267, 268}, {259, 260}, {251, 252},
{243, 244}, {235, 236}, {227, 228}, {219, 220}, {211, 212}, {203, 204}, {107,
108}, {99, 100}, {91, 92}, {83, 84}, {75, 76}, {67, 68}, {59, 60}, {11, 12},
{19, 20}, {27, 28}, {35, 36}, {43, 44}, {51, 52}, {115, 116}, {123, 124}, {131,
132}, {139, 140}, {147, 148}, {155, 156}, {163, 164}, {171, 172}, {179, 180},
{187, 188}, {195, 196}, {7, 8}, {279, 280}, {263, 264}, {247, 248}, {231, 232},
{215, 216}, {103, 104}, {87, 88}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {119,
120}, {135, 136}, {151, 152}, {167, 168}, {183, 184}, {199, 200}, {15, 16},
{271, 272}, {239, 240}, {207, 208}, {79, 80}, {47, 48}, {111, 112}, {143, 144},
{175, 176}, {2, 55}, {202, 255}, {200, 253}, {74, 127}, {72, 125}, {66, 119},
{64, 117}, {8, 61}, {10, 63}, {128, 181}, {130, 183}, {136, 189}, {138, 191},
{192, 245}, {194, 247}, {1, 54}, {201, 254}, {73, 126}, {65, 118}, {9, 62},
{129, 182}, {137, 190}, {193, 246}, {3, 56}, {199, 252}, {71, 124}, {67, 120},
{7, 60}, {131, 184}, {135, 188}, {195, 248}, {4, 57}, {70, 123}, {68, 121}, {6,
59}, {132, 185}, {134, 187}, {196, 249}, {198, 251}, {5, 58}, {223, 224}, {95,
96}, {69, 122}, {31, 32}, {133, 186}, {159, 160}, {197, 250}, {11, 64}, {63,
116}, {59, 112}, {15, 68}, {27, 80}, {31, 84}, {43, 96}, {47, 100}, {139, 192},
{143, 196}, {155, 208}, {159, 212}, {171, 224}, {175, 228}, {187, 240}, {191,
244}, {12, 65}, {62, 115}, {60, 113}, {14, 67}, {28, 81}, {30, 83}, {44, 97},
{46, 99}, {140, 193}, {142, 195}, {156, 209}, {158, 211}, {172, 225}, {174,
227}, {188, 241}, {190, 243}, {13, 66}, {61, 114}, {29, 82}, {45, 98}, {141,
194}, {157, 210}, {173, 226}, {189, 242}, {16, 69}, {58, 111}, {56, 109}, {18,
71}, {24, 77}, {26, 79}, {48, 101}, {50, 103}, {144, 197}, {146, 199}, {152,
205}, {154, 207}, {176, 229}, {178, 231}, {184, 237}, {186, 239}, {17, 70}, {57,
110}, {25, 78}, {49, 102}, {145, 198}, {153, 206}, {177, 230}, {185, 238}, {19,
72}, {55, 108}, {23, 76}, {51, 104}, {147, 200}, {151, 204}, {179, 232}, {183,
236}, {20, 73}, {54, 107}, {22, 75}, {52, 105}, {148, 201}, {150, 203}, {180,
233}, {182, 235}, {21, 74}, {53, 106}, {149, 202}, {181, 234}, {32, 85}, {34,
87}, {40, 93}, {42, 95}, {160, 213}, {162, 215}, {168, 221}, {170, 223}, {33,
86}, {41, 94}, {161, 214}, {169, 222}, {35, 88}, {39, 92}, {163, 216}, {167,
220}, {36, 89}, {38, 91}, {164, 217}, {166, 219}, {37, 90}, {63, 64}, {165,
218}, {191, 192}, {75, 128}, {107, 160}, {95, 148}, {91, 144}, {79, 132}, {111,
164}, {123, 176}, {127, 180}, {76, 129}, {110, 163}, {108, 161}, {94, 147}, {92,
145}, {78, 131}, {124, 177}, {126, 179}, {77, 130}, {109, 162}, {93, 146}, {125,
178}, {80, 133}, {90, 143}, {88, 141}, {82, 135}, {112, 165}, {114, 167}, {120,
173}, {122, 175}, {81, 134}, {89, 142}, {113, 166}, {121, 174}, {83, 136}, {87,
140}, {115, 168}, {119, 172}, {84, 137}, {86, 139}, {116, 169}, {118, 171}, {85,
138}, {117, 170}, {1, 229}, {2, 230}, {3, 231}, {8, 236}, {9, 237}, {10, 238},
{11, 239}, {16, 244}, {17, 245}, {18, 246}, {19, 247}, {24, 252}, {25, 253},
{26, 254}, {27, 255}, {4, 232}, {5, 233}, {6, 234}, {7, 235}, {20, 248}, {21,
249}, {22, 250}, {23, 251}, {96, 149}, {106, 159}, {104, 157}, {98, 151}, {97,
150}, {105, 158}, {99, 152}, {103, 156}, {12, 240}, {13, 241}, {14, 242}, {15,
243}, {100, 153}, {102, 155}, {101, 154}, {127, 128}, {1, 281}, {28, 256}, {29,
257}, {30, 258}, {31, 259}, {32, 260}, {33, 261}, {34, 262}, {35, 263}, {40,
268}, {41, 269}, {42, 270}, {43, 271}, {48, 276}, {49, 277}, {50, 278}, {51,
279}, {36, 264}, {37, 265}, {38, 266}, {39, 267}, {52, 280}, {53, 281}, {44,
272}, {45, 273}, {46, 274}, {47, 275}, {203, 256}, {223, 276}, {219, 272}, {207,
260}, {204, 257}, {222, 275}, {220, 273}, {206, 259}, {205, 258}, {221, 274},
{208, 261}, {218, 271}, {216, 269}, {210, 263}, {209, 262}, {217, 270}, {211,
264}, {215, 268}, {212, 265}, {214, 267}, {213, 266}, {224, 277}, {226, 279},
{225, 278}, {227, 280}, {228, 281}, {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, 229, 281, 54)(3, 176, 280, 107)(4, 123, 279, 160)(5, 70, 278, 213)(6, 17,
277, 266)(7, 245, 276, 38)(8, 192, 275, 91)(9, 139, 274, 144)(10, 86, 273,
197)(11, 33, 272, 250)(12, 261, 271, 22)(13, 208, 270, 75)(14, 155, 269,
128)(15, 102, 268, 181)(16, 49, 267, 234)(18, 224, 265, 59)(19, 171, 264,
112)(20, 118, 263, 165)(21, 65, 262, 218)(23, 240, 260, 43)(24, 187, 259,
96)(25, 134, 258, 149)(26, 81, 257, 202)(27, 28, 256, 255)(29, 203, 254, 80)(30,
150, 253, 133)(31, 97, 252, 186)(32, 44, 251, 239)(34, 219, 249, 64)(35, 166,
248, 117)(36, 113, 247, 170)(37, 60, 246, 223)(39, 235, 244, 48)(40, 182, 243,
101)(41, 129, 242, 154)(42, 76, 241, 207)(45, 198, 238, 85)(46, 145, 237,
138)(47, 92, 236, 191)(50, 214, 233, 69)(51, 161, 232, 122)(52, 108, 231,
175)(53, 55, 230, 228)(56, 177, 227, 106)(57, 124, 226, 159)(58, 71, 225,
212)(61, 193, 222, 90)(62, 140, 221, 143)(63, 87, 220, 196)(66, 209, 217,
74)(67, 156, 216, 127)(68, 103, 215, 180)(72, 172, 211, 111)(73, 119, 210,
164)(77, 188, 206, 95)(78, 135, 205, 148)(79, 82, 204, 201)(83, 151, 200,
132)(84, 98, 199, 185)(88, 167, 195, 116)(89, 114, 194, 169)(93, 183, 190,
100)(94, 130, 189, 153)(99, 146, 184, 137)(104, 162, 179, 121)(105, 109, 178,
174)(110, 125, 173, 158)(115, 141, 168, 142)(120, 157, 163, 126)(131, 136, 152,
147) (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, 281)
C4[ 281, 1 ]
281
-1 2 281 229 54
-2 55 1 3 230
-3 231 56 2 4
-4 232 57 3 5
-5 233 58 4 6
-6 234 59 5 7
-7 235 60 6 8
-8 236 61 7 9
-9 237 62 8 10
-10 11 238 63 9
-11 12 239 64 10
-12 11 13 240 65
-13 66 12 14 241
-14 242 67 13 15
-15 243 68 14 16
-16 244 69 15 17
-17 245 70 16 18
-18 246 71 17 19
-19 247 72 18 20
-20 248 73 19 21
-21 22 249 74 20
-22 23 250 75 21
-23 22 24 251 76
-24 77 23 25 252
-25 253 78 24 26
-26 254 79 25 27
-27 255 80 26 28
-28 256 81 27 29
-29 257 82 28 30
-30 258 83 29 31
-31 259 84 30 32
-32 33 260 85 31
-33 34 261 86 32
-34 33 35 262 87
-35 88 34 36 263
-36 264 89 35 37
-37 265 90 36 38
-38 266 91 37 39
-39 267 92 38 40
-40 268 93 39 41
-41 269 94 40 42
-42 270 95 41 43
-43 44 271 96 42
-44 45 272 97 43
-45 44 46 273 98
-46 99 45 47 274
-47 275 100 46 48
-48 276 101 47 49
-49 277 102 48 50
-50 278 103 49 51
-51 279 104 50 52
-52 280 105 51 53
-53 281 106 52 54
-54 55 1 107 53
-55 56 2 108 54
-56 55 57 3 109
-57 110 56 58 4
-58 111 57 59 5
-59 112 58 60 6
-60 113 59 61 7
-61 114 60 62 8
-62 115 61 63 9
-63 116 62 64 10
-64 11 117 63 65
-65 66 12 118 64
-66 67 13 119 65
-67 66 68 14 120
-68 121 67 69 15
-69 122 68 70 16
-70 123 69 71 17
-71 124 70 72 18
-72 125 71 73 19
-73 126 72 74 20
-74 127 73 75 21
-75 22 128 74 76
-76 77 23 129 75
-77 78 24 130 76
-78 77 79 25 131
-79 132 78 80 26
-80 133 79 81 27
-81 134 80 82 28
-82 135 81 83 29
-83 136 82 84 30
-84 137 83 85 31
-85 138 84 86 32
-86 33 139 85 87
-87 88 34 140 86
-88 89 35 141 87
-89 88 90 36 142
-90 143 89 91 37
-91 144 90 92 38
-92 145 91 93 39
-93 146 92 94 40
-94 147 93 95 41
-95 148 94 96 42
-96 149 95 97 43
-97 44 150 96 98
-98 99 45 151 97
-99 100 46 152 98
-100 99 101 47 153
-101 154 100 102 48
-102 155 101 103 49
-103 156 102 104 50
-104 157 103 105 51
-105 158 104 106 52
-106 159 105 107 53
-107 160 106 108 54
-108 55 161 107 109
-109 110 56 162 108
-110 111 57 163 109
-111 110 112 58 164
-112 165 111 113 59
-113 166 112 114 60
-114 167 113 115 61
-115 168 114 116 62
-116 169 115 117 63
-117 170 116 118 64
-118 171 117 119 65
-119 66 172 118 120
-120 121 67 173 119
-121 122 68 174 120
-122 121 123 69 175
-123 176 122 124 70
-124 177 123 125 71
-125 178 124 126 72
-126 179 125 127 73
-127 180 126 128 74
-128 181 127 129 75
-129 182 128 130 76
-130 77 183 129 131
-131 132 78 184 130
-132 133 79 185 131
-133 132 134 80 186
-134 187 133 135 81
-135 188 134 136 82
-136 189 135 137 83
-137 190 136 138 84
-138 191 137 139 85
-139 192 138 140 86
-140 193 139 141 87
-141 88 194 140 142
-142 143 89 195 141
-143 144 90 196 142
-144 143 145 91 197
-145 198 144 146 92
-146 199 145 147 93
-147 200 146 148 94
-148 201 147 149 95
-149 202 148 150 96
-150 203 149 151 97
-151 204 150 152 98
-152 99 205 151 153
-153 154 100 206 152
-154 155 101 207 153
-155 154 156 102 208
-156 209 155 157 103
-157 210 156 158 104
-158 211 157 159 105
-159 212 158 160 106
-160 213 159 161 107
-161 214 160 162 108
-162 215 161 163 109
-163 110 216 162 164
-164 165 111 217 163
-165 166 112 218 164
-166 165 167 113 219
-167 220 166 168 114
-168 221 167 169 115
-169 222 168 170 116
-170 223 169 171 117
-171 224 170 172 118
-172 225 171 173 119
-173 226 172 174 120
-174 121 227 173 175
-175 176 122 228 174
-176 177 123 229 175
-177 176 178 124 230
-178 231 177 179 125
-179 232 178 180 126
-180 233 179 181 127
-181 234 180 182 128
-182 235 181 183 129
-183 236 182 184 130
-184 237 183 185 131
-185 132 238 184 186
-186 187 133 239 185
-187 188 134 240 186
-188 187 189 135 241
-189 242 188 190 136
-190 243 189 191 137
-191 244 190 192 138
-192 245 191 193 139
-193 246 192 194 140
-194 247 193 195 141
-195 248 194 196 142
-196 143 249 195 197
-197 198 144 250 196
-198 199 145 251 197
-199 198 200 146 252
-200 253 199 201 147
-201 254 200 202 148
-202 255 201 203 149
-203 256 202 204 150
-204 257 203 205 151
-205 258 204 206 152
-206 259 205 207 153
-207 154 260 206 208
-208 209 155 261 207
-209 210 156 262 208
-210 209 211 157 263
-211 264 210 212 158
-212 265 211 213 159
-213 266 212 214 160
-214 267 213 215 161
-215 268 214 216 162
-216 269 215 217 163
-217 270 216 218 164
-218 165 271 217 219
-219 220 166 272 218
-220 221 167 273 219
-221 220 222 168 274
-222 275 221 223 169
-223 276 222 224 170
-224 277 223 225 171
-225 278 224 226 172
-226 279 225 227 173
-227 280 226 228 174
-228 281 227 229 175
-229 176 1 228 230
-230 231 177 2 229
-231 232 178 3 230
-232 231 233 179 4
-233 232 234 180 5
-234 233 235 181 6
-235 234 236 182 7
-236 235 237 183 8
-237 236 238 184 9
-238 237 239 185 10
-239 11 238 240 186
-240 187 12 239 241
-241 242 188 13 240
-242 243 189 14 241
-243 242 244 190 15
-244 243 245 191 16
-245 244 246 192 17
-246 245 247 193 18
-247 246 248 194 19
-248 247 249 195 20
-249 248 250 196 21
-250 22 249 251 197
-251 198 23 250 252
-252 253 199 24 251
-253 254 200 25 252
-254 253 255 201 26
-255 254 256 202 27
-256 255 257 203 28
-257 256 258 204 29
-258 257 259 205 30
-259 258 260 206 31
-260 259 261 207 32
-261 33 260 262 208
-262 209 34 261 263
-263 264 210 35 262
-264 265 211 36 263
-265 264 266 212 37
-266 265 267 213 38
-267 266 268 214 39
-268 267 269 215 40
-269 268 270 216 41
-270 269 271 217 42
-271 270 272 218 43
-272 44 271 273 219
-273 220 45 272 274
-274 275 221 46 273
-275 276 222 47 274
-276 275 277 223 48
-277 276 278 224 49
-278 277 279 225 50
-279 278 280 226 51
-280 279 281 227 52
-281 1 280 228 53
0