Graph forms
for C4 [ 272, 2 ] = C_272(1,33)
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On this page are computer-accessible forms for the graph C4[ 272, 2 ] =
C_272(1,33).
(I) Following is a form readable by MAGMA:
g:=Graph<272|{ {2, 3}, {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},
{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}, {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}, {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}, {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}, {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}, {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}, {2, 35}, {222, 255}, {220,
253}, {218, 251}, {216, 249}, {214, 247}, {212, 245}, {210, 243}, {208, 241},
{206, 239}, {204, 237}, {94, 127}, {92, 125}, {90, 123}, {88, 121}, {86, 119},
{84, 117}, {82, 115}, {80, 113}, {78, 111}, {76, 109}, {74, 107}, {72, 105},
{70, 103}, {68, 101}, {66, 99}, {64, 97}, {4, 37}, {6, 39}, {8, 41}, {10, 43},
{12, 45}, {14, 47}, {16, 49}, {18, 51}, {20, 53}, {22, 55}, {24, 57}, {26, 59},
{28, 61}, {30, 63}, {128, 161}, {130, 163}, {132, 165}, {134, 167}, {136, 169},
{138, 171}, {140, 173}, {142, 175}, {144, 177}, {146, 179}, {148, 181}, {150,
183}, {152, 185}, {154, 187}, {156, 189}, {158, 191}, {192, 225}, {194, 227},
{196, 229}, {198, 231}, {200, 233}, {202, 235}, {1, 34}, {221, 254}, {217, 250},
{213, 246}, {209, 242}, {205, 238}, {93, 126}, {89, 122}, {85, 118}, {81, 114},
{77, 110}, {73, 106}, {69, 102}, {65, 98}, {5, 38}, {9, 42}, {13, 46}, {17, 50},
{21, 54}, {25, 58}, {29, 62}, {129, 162}, {133, 166}, {137, 170}, {141, 174},
{145, 178}, {149, 182}, {153, 186}, {157, 190}, {193, 226}, {197, 230}, {201,
234}, {3, 36}, {219, 252}, {211, 244}, {203, 236}, {91, 124}, {83, 116}, {75,
108}, {67, 100}, {11, 44}, {19, 52}, {27, 60}, {131, 164}, {139, 172}, {147,
180}, {155, 188}, {195, 228}, {7, 40}, {215, 248}, {87, 120}, {71, 104}, {23,
56}, {135, 168}, {151, 184}, {199, 232}, {15, 48}, {223, 224}, {207, 240}, {95,
96}, {79, 112}, {31, 32}, {143, 176}, {159, 160}, {31, 64}, {63, 96}, {159,
192}, {191, 224}, {32, 65}, {62, 95}, {34, 67}, {36, 69}, {38, 71}, {40, 73},
{42, 75}, {44, 77}, {46, 79}, {48, 81}, {50, 83}, {52, 85}, {54, 87}, {56, 89},
{58, 91}, {60, 93}, {160, 193}, {162, 195}, {164, 197}, {166, 199}, {168, 201},
{170, 203}, {172, 205}, {174, 207}, {176, 209}, {178, 211}, {180, 213}, {182,
215}, {184, 217}, {186, 219}, {188, 221}, {190, 223}, {33, 66}, {37, 70}, {41,
74}, {45, 78}, {49, 82}, {53, 86}, {57, 90}, {61, 94}, {161, 194}, {165, 198},
{169, 202}, {173, 206}, {177, 210}, {181, 214}, {185, 218}, {189, 222}, {35,
68}, {43, 76}, {51, 84}, {59, 92}, {163, 196}, {171, 204}, {179, 212}, {187,
220}, {39, 72}, {55, 88}, {167, 200}, {183, 216}, {47, 80}, {63, 64}, {175,
208}, {191, 192}, {95, 128}, {127, 160}, {96, 129}, {112, 145}, {110, 143},
{108, 141}, {106, 139}, {104, 137}, {102, 135}, {100, 133}, {98, 131}, {114,
147}, {116, 149}, {118, 151}, {120, 153}, {122, 155}, {124, 157}, {126, 159},
{97, 130}, {113, 146}, {109, 142}, {105, 138}, {101, 134}, {117, 150}, {121,
154}, {125, 158}, {99, 132}, {107, 140}, {115, 148}, {123, 156}, {16, 255},
{103, 136}, {119, 152}, {1, 240}, {3, 242}, {5, 244}, {7, 246}, {9, 248}, {11,
250}, {13, 252}, {15, 254}, {2, 241}, {6, 245}, {10, 249}, {14, 253}, {4, 243},
{12, 251}, {8, 247}, {111, 144}, {127, 128}, {1, 272}, {17, 256}, {19, 258},
{21, 260}, {23, 262}, {25, 264}, {27, 266}, {29, 268}, {31, 270}, {18, 257},
{22, 261}, {26, 265}, {30, 269}, {20, 259}, {28, 267}, {24, 263}, {32, 271},
{33, 272}, {223, 256}, {224, 257}, {238, 271}, {236, 269}, {234, 267}, {232,
265}, {230, 263}, {228, 261}, {226, 259}, {225, 258}, {237, 270}, {233, 266},
{229, 262}, {227, 260}, {235, 268}, {231, 264}, {239, 272}, {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, 34)(3, 67)(4, 100)(5, 133)(6, 166)(7, 199)(8, 232)(9, 265)(10, 26)(11,
59)(12, 92)(13, 125)(14, 158)(15, 191)(16, 224)(17, 257)(19, 51)(20, 84)(21,
117)(22, 150)(23, 183)(24, 216)(25, 249)(27, 43)(28, 76)(29, 109)(30, 142)(31,
175)(32, 208)(33, 241)(36, 68)(37, 101)(38, 134)(39, 167)(40, 200)(41, 233)(42,
266)(44, 60)(45, 93)(46, 126)(47, 159)(48, 192)(49, 225)(50, 258)(53, 85)(54,
118)(55, 151)(56, 184)(57, 217)(58, 250)(61, 77)(62, 110)(63, 143)(64, 176)(65,
209)(66, 242)(70, 102)(71, 135)(72, 168)(73, 201)(74, 234)(75, 267)(78, 94)(79,
127)(80, 160)(81, 193)(82, 226)(83, 259)(87, 119)(88, 152)(89, 185)(90, 218)(91,
251)(95, 111)(96, 144)(97, 177)(98, 210)(99, 243)(104, 136)(105, 169)(106,
202)(107, 235)(108, 268)(112, 128)(113, 161)(114, 194)(115, 227)(116, 260)(121,
153)(122, 186)(123, 219)(124, 252)(129, 145)(130, 178)(131, 211)(132, 244)(138,
170)(139, 203)(140, 236)(141, 269)(146, 162)(147, 195)(148, 228)(149, 261)(155,
187)(156, 220)(157, 253)(163, 179)(164, 212)(165, 245)(172, 204)(173, 237)(174,
270)(180, 196)(181, 229)(182, 262)(189, 221)(190, 254)(197, 213)(198, 246)(206,
238)(207, 271)(214, 230)(215, 263)(223, 255)(231, 247)(240, 272)(248, 264) (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, 240)(3, 207)(4, 174)(5, 141)(6, 108)(7, 75)(8, 42)(10, 248)(11, 215)(12,
182)(13, 149)(14, 116)(15, 83)(16, 50)(18, 256)(19, 223)(20, 190)(21, 157)(22,
124)(23, 91)(24, 58)(26, 264)(27, 231)(28, 198)(29, 165)(30, 132)(31, 99)(32,
66)(34, 272)(35, 239)(36, 206)(37, 173)(38, 140)(39, 107)(40, 74)(43, 247)(44,
214)(45, 181)(46, 148)(47, 115)(48, 82)(51, 255)(52, 222)(53, 189)(54, 156)(55,
123)(56, 90)(59, 263)(60, 230)(61, 197)(62, 164)(63, 131)(64, 98)(67, 271)(68,
238)(69, 205)(70, 172)(71, 139)(72, 106)(76, 246)(77, 213)(78, 180)(79, 147)(80,
114)(84, 254)(85, 221)(86, 188)(87, 155)(88, 122)(92, 262)(93, 229)(94, 196)(95,
163)(96, 130)(100, 270)(101, 237)(102, 204)(103, 171)(104, 138)(109, 245)(110,
212)(111, 179)(112, 146)(117, 253)(118, 220)(119, 187)(120, 154)(125, 261)(126,
228)(127, 195)(128, 162)(133, 269)(134, 236)(135, 203)(136, 170)(142, 244)(143,
211)(144, 178)(150, 252)(151, 219)(152, 186)(158, 260)(159, 227)(160, 194)(166,
268)(167, 235)(168, 202)(175, 243)(176, 210)(183, 251)(184, 218)(191, 259)(192,
226)(199, 267)(200, 234)(208, 242)(216, 250)(224, 258)(232, 266)
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)
C4[ 272, 2 ]
272
-1 34 2 272 240
-2 1 35 3 241
-3 242 2 36 4
-4 243 3 37 5
-5 244 4 38 6
-6 245 5 39 7
-7 246 6 40 8
-8 247 7 41 9
-9 248 8 42 10
-10 11 249 9 43
-11 44 12 250 10
-12 11 45 13 251
-13 12 46 14 252
-14 253 13 47 15
-15 254 14 48 16
-16 255 15 49 17
-17 256 16 50 18
-18 257 17 51 19
-19 258 18 52 20
-20 259 19 53 21
-21 22 260 20 54
-22 55 23 261 21
-23 22 56 24 262
-24 23 57 25 263
-25 264 24 58 26
-26 265 25 59 27
-27 266 26 60 28
-28 267 27 61 29
-29 268 28 62 30
-30 269 29 63 31
-31 270 30 64 32
-32 33 271 31 65
-33 66 34 272 32
-34 33 1 67 35
-35 34 2 68 36
-36 35 3 69 37
-37 36 4 70 38
-38 37 5 71 39
-39 38 6 72 40
-40 39 7 73 41
-41 40 8 74 42
-42 41 9 75 43
-43 44 42 10 76
-44 11 77 45 43
-45 44 12 78 46
-46 45 13 79 47
-47 46 14 80 48
-48 47 15 81 49
-49 48 16 82 50
-50 49 17 83 51
-51 50 18 84 52
-52 51 19 85 53
-53 52 20 86 54
-54 55 53 21 87
-55 22 88 56 54
-56 55 23 89 57
-57 56 24 90 58
-58 57 25 91 59
-59 58 26 92 60
-60 59 27 93 61
-61 60 28 94 62
-62 61 29 95 63
-63 62 30 96 64
-64 63 31 97 65
-65 66 64 32 98
-66 33 99 67 65
-67 66 34 100 68
-68 67 35 101 69
-69 68 36 102 70
-70 69 37 103 71
-71 70 38 104 72
-72 71 39 105 73
-73 72 40 106 74
-74 73 41 107 75
-75 74 42 108 76
-76 77 75 43 109
-77 44 110 78 76
-78 77 45 111 79
-79 78 46 112 80
-80 79 47 113 81
-81 80 48 114 82
-82 81 49 115 83
-83 82 50 116 84
-84 83 51 117 85
-85 84 52 118 86
-86 85 53 119 87
-87 88 86 54 120
-88 55 121 89 87
-89 88 56 122 90
-90 89 57 123 91
-91 90 58 124 92
-92 91 59 125 93
-93 92 60 126 94
-94 93 61 127 95
-95 94 62 128 96
-96 95 63 129 97
-97 96 64 130 98
-98 99 97 65 131
-99 66 132 100 98
-100 99 67 133 101
-101 100 68 134 102
-102 101 69 135 103
-103 102 70 136 104
-104 103 71 137 105
-105 104 72 138 106
-106 105 73 139 107
-107 106 74 140 108
-108 107 75 141 109
-109 110 108 76 142
-110 77 143 111 109
-111 110 78 144 112
-112 111 79 145 113
-113 112 80 146 114
-114 113 81 147 115
-115 114 82 148 116
-116 115 83 149 117
-117 116 84 150 118
-118 117 85 151 119
-119 118 86 152 120
-120 121 119 87 153
-121 88 154 122 120
-122 121 89 155 123
-123 122 90 156 124
-124 123 91 157 125
-125 124 92 158 126
-126 125 93 159 127
-127 126 94 160 128
-128 127 95 161 129
-129 128 96 162 130
-130 129 97 163 131
-131 132 130 98 164
-132 99 165 133 131
-133 132 100 166 134
-134 133 101 167 135
-135 134 102 168 136
-136 135 103 169 137
-137 136 104 170 138
-138 137 105 171 139
-139 138 106 172 140
-140 139 107 173 141
-141 140 108 174 142
-142 143 141 109 175
-143 110 176 144 142
-144 143 111 177 145
-145 144 112 178 146
-146 145 113 179 147
-147 146 114 180 148
-148 147 115 181 149
-149 148 116 182 150
-150 149 117 183 151
-151 150 118 184 152
-152 151 119 185 153
-153 154 152 120 186
-154 121 187 155 153
-155 154 122 188 156
-156 155 123 189 157
-157 156 124 190 158
-158 157 125 191 159
-159 158 126 192 160
-160 159 127 193 161
-161 160 128 194 162
-162 161 129 195 163
-163 162 130 196 164
-164 165 163 131 197
-165 132 198 166 164
-166 165 133 199 167
-167 166 134 200 168
-168 167 135 201 169
-169 168 136 202 170
-170 169 137 203 171
-171 170 138 204 172
-172 171 139 205 173
-173 172 140 206 174
-174 173 141 207 175
-175 176 174 142 208
-176 143 209 177 175
-177 176 144 210 178
-178 177 145 211 179
-179 178 146 212 180
-180 179 147 213 181
-181 180 148 214 182
-182 181 149 215 183
-183 182 150 216 184
-184 183 151 217 185
-185 184 152 218 186
-186 187 185 153 219
-187 154 220 188 186
-188 187 155 221 189
-189 188 156 222 190
-190 189 157 223 191
-191 190 158 224 192
-192 191 159 225 193
-193 192 160 226 194
-194 193 161 227 195
-195 194 162 228 196
-196 195 163 229 197
-197 198 196 164 230
-198 165 231 199 197
-199 198 166 232 200
-200 199 167 233 201
-201 200 168 234 202
-202 201 169 235 203
-203 202 170 236 204
-204 203 171 237 205
-205 204 172 238 206
-206 205 173 239 207
-207 206 174 240 208
-208 209 207 175 241
-209 176 242 210 208
-210 209 177 243 211
-211 210 178 244 212
-212 211 179 245 213
-213 212 180 246 214
-214 213 181 247 215
-215 214 182 248 216
-216 215 183 249 217
-217 216 184 250 218
-218 217 185 251 219
-219 220 218 186 252
-220 187 253 221 219
-221 220 188 254 222
-222 221 189 255 223
-223 222 190 256 224
-224 223 191 257 225
-225 224 192 258 226
-226 225 193 259 227
-227 226 194 260 228
-228 227 195 261 229
-229 228 196 262 230
-230 231 229 197 263
-231 198 264 232 230
-232 231 199 265 233
-233 232 200 266 234
-234 233 201 267 235
-235 234 202 268 236
-236 235 203 269 237
-237 236 204 270 238
-238 237 205 271 239
-239 238 206 272 240
-240 1 239 207 241
-241 242 2 240 208
-242 209 243 3 241
-243 242 210 244 4
-244 243 211 245 5
-245 244 212 246 6
-246 245 213 247 7
-247 246 214 248 8
-248 247 215 249 9
-249 248 216 250 10
-250 11 249 217 251
-251 12 250 218 252
-252 253 13 251 219
-253 220 254 14 252
-254 253 221 255 15
-255 254 222 256 16
-256 255 223 257 17
-257 256 224 258 18
-258 257 225 259 19
-259 258 226 260 20
-260 259 227 261 21
-261 22 260 228 262
-262 23 261 229 263
-263 264 24 262 230
-264 231 265 25 263
-265 264 232 266 26
-266 265 233 267 27
-267 266 234 268 28
-268 267 235 269 29
-269 268 236 270 30
-270 269 237 271 31
-271 270 238 272 32
-272 33 1 271 239
0