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