Graph forms
for C4 [ 282, 2 ] = C_282(1,95)
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On this page are computer-accessible forms for the graph C4[ 282, 2 ] =
C_282(1,95).
(I) Following is a form readable by MAGMA:
g:=Graph<282|{ {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}, {198, 199}, {196, 197}, {194,
195}, {192, 193}, {190, 191}, {188, 189}, {186, 187}, {184, 185}, {182, 183},
{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}, {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}, {1, 2}, {281, 282}, {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}, {193, 194}, {189, 190},
{185, 186}, {181, 182}, {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}, {93, 94}, {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}, {3, 4}, {275, 276}, {267, 268}, {259, 260}, {251,
252}, {243, 244}, {235, 236}, {227, 228}, {219, 220}, {211, 212}, {203, 204},
{195, 196}, {187, 188}, {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}, {7, 8}, {279, 280}, {263, 264}, {247, 248}, {231,
232}, {215, 216}, {199, 200}, {183, 184}, {87, 88}, {71, 72}, {55, 56}, {23,
24}, {39, 40}, {103, 104}, {119, 120}, {135, 136}, {151, 152}, {167, 168}, {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}, {32, 127}, {128,
223}, {160, 255}, {1, 96}, {3, 98}, {5, 100}, {7, 102}, {9, 104}, {11, 106},
{13, 108}, {15, 110}, {17, 112}, {19, 114}, {21, 116}, {23, 118}, {25, 120},
{27, 122}, {29, 124}, {31, 126}, {129, 224}, {131, 226}, {133, 228}, {135, 230},
{137, 232}, {139, 234}, {141, 236}, {143, 238}, {145, 240}, {147, 242}, {149,
244}, {151, 246}, {153, 248}, {155, 250}, {157, 252}, {159, 254}, {2, 97}, {6,
101}, {10, 105}, {14, 109}, {18, 113}, {22, 117}, {26, 121}, {30, 125}, {130,
225}, {134, 229}, {138, 233}, {142, 237}, {146, 241}, {150, 245}, {154, 249},
{158, 253}, {4, 99}, {12, 107}, {20, 115}, {28, 123}, {132, 227}, {140, 235},
{148, 243}, {156, 251}, {8, 103}, {24, 119}, {136, 231}, {152, 247}, {16, 111},
{191, 192}, {63, 64}, {144, 239}, {33, 128}, {63, 158}, {61, 156}, {59, 154},
{57, 152}, {55, 150}, {35, 130}, {37, 132}, {39, 134}, {41, 136}, {43, 138},
{45, 140}, {47, 142}, {49, 144}, {51, 146}, {53, 148}, {97, 192}, {99, 194},
{101, 196}, {103, 198}, {105, 200}, {107, 202}, {109, 204}, {111, 206}, {113,
208}, {115, 210}, {117, 212}, {119, 214}, {121, 216}, {123, 218}, {125, 220},
{127, 222}, {34, 129}, {62, 157}, {58, 153}, {54, 149}, {38, 133}, {42, 137},
{46, 141}, {50, 145}, {98, 193}, {102, 197}, {106, 201}, {110, 205}, {114, 209},
{118, 213}, {122, 217}, {126, 221}, {36, 131}, {60, 155}, {44, 139}, {52, 147},
{100, 195}, {108, 203}, {116, 211}, {124, 219}, {40, 135}, {56, 151}, {104,
199}, {120, 215}, {4, 191}, {68, 255}, {64, 251}, {1, 188}, {67, 254}, {65,
252}, {3, 190}, {2, 189}, {66, 253}, {48, 143}, {112, 207}, {5, 192}, {63, 250},
{61, 248}, {55, 242}, {7, 194}, {13, 200}, {15, 202}, {21, 208}, {23, 210}, {29,
216}, {31, 218}, {37, 224}, {39, 226}, {45, 232}, {47, 234}, {53, 240}, {6,
193}, {62, 249}, {54, 241}, {14, 201}, {22, 209}, {30, 217}, {38, 225}, {46,
233}, {8, 195}, {60, 247}, {56, 243}, {12, 199}, {24, 211}, {28, 215}, {40,
227}, {44, 231}, {9, 196}, {59, 246}, {57, 244}, {11, 198}, {25, 212}, {27,
214}, {41, 228}, {43, 230}, {10, 197}, {58, 245}, {26, 213}, {42, 229}, {16,
203}, {20, 207}, {48, 235}, {52, 239}, {17, 204}, {19, 206}, {49, 236}, {51,
238}, {18, 205}, {64, 159}, {50, 237}, {96, 191}, {65, 160}, {91, 186}, {89,
184}, {87, 182}, {85, 180}, {83, 178}, {81, 176}, {79, 174}, {77, 172}, {75,
170}, {73, 168}, {71, 166}, {69, 164}, {67, 162}, {93, 188}, {95, 190}, {66,
161}, {90, 185}, {86, 181}, {82, 177}, {78, 173}, {74, 169}, {70, 165}, {94,
189}, {68, 163}, {84, 179}, {76, 171}, {92, 187}, {72, 167}, {88, 183}, {32,
219}, {36, 223}, {33, 220}, {35, 222}, {34, 221}, {80, 175}, {127, 128}, {1,
282}, {69, 256}, {87, 274}, {85, 272}, {79, 266}, {77, 264}, {71, 258}, {93,
280}, {95, 282}, {70, 257}, {86, 273}, {78, 265}, {94, 281}, {72, 259}, {88,
275}, {76, 263}, {92, 279}, {73, 260}, {89, 276}, {75, 262}, {91, 278}, {74,
261}, {90, 277}, {80, 267}, {84, 271}, {81, 268}, {83, 270}, {82, 269}, {161,
256}, {187, 282}, {185, 280}, {183, 278}, {181, 276}, {163, 258}, {165, 260},
{167, 262}, {169, 264}, {171, 266}, {173, 268}, {175, 270}, {177, 272}, {179,
274}, {162, 257}, {186, 281}, {182, 277}, {166, 261}, {170, 265}, {174, 269},
{178, 273}, {164, 259}, {180, 275}, {172, 267}, {168, 263}, {184, 279}, {176,
271}, {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, 96)(3, 191)(5, 99)(6, 194)(8, 102)(9, 197)(11, 105)(12, 200)(14, 108)(15,
203)(17, 111)(18, 206)(20, 114)(21, 209)(23, 117)(24, 212)(26, 120)(27, 215)(29,
123)(30, 218)(32, 126)(33, 221)(35, 129)(36, 224)(38, 132)(39, 227)(41, 135)(42,
230)(44, 138)(45, 233)(47, 141)(48, 236)(50, 144)(51, 239)(53, 147)(54, 242)(56,
150)(57, 245)(59, 153)(60, 248)(62, 156)(63, 251)(65, 159)(66, 254)(68, 162)(69,
257)(71, 165)(72, 260)(74, 168)(75, 263)(77, 171)(78, 266)(80, 174)(81, 269)(83,
177)(84, 272)(86, 180)(87, 275)(89, 183)(90, 278)(92, 186)(93, 281)(95, 189)(98,
192)(101, 195)(104, 198)(107, 201)(110, 204)(113, 207)(116, 210)(119, 213)(122,
216)(125, 219)(128, 222)(131, 225)(134, 228)(137, 231)(140, 234)(143, 237)(146,
240)(149, 243)(152, 246)(155, 249)(158, 252)(161, 255)(164, 258)(167, 261)(170,
264)(173, 267)(176, 270)(179, 273)(182, 276)(185, 279)(188, 282) (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, 188)(3, 93)(4, 280)(5, 185)(6, 90)(7, 277)(8, 182)(9, 87)(10, 274)(11,
179)(12, 84)(13, 271)(14, 176)(15, 81)(16, 268)(17, 173)(18, 78)(19, 265)(20,
170)(21, 75)(22, 262)(23, 167)(24, 72)(25, 259)(26, 164)(27, 69)(28, 256)(29,
161)(30, 66)(31, 253)(32, 158)(33, 63)(34, 250)(35, 155)(36, 60)(37, 247)(38,
152)(39, 57)(40, 244)(41, 149)(42, 54)(43, 241)(44, 146)(45, 51)(46, 238)(47,
143)(49, 235)(50, 140)(52, 232)(53, 137)(55, 229)(56, 134)(58, 226)(59, 131)(61,
223)(62, 128)(64, 220)(65, 125)(67, 217)(68, 122)(70, 214)(71, 119)(73, 211)(74,
116)(76, 208)(77, 113)(79, 205)(80, 110)(82, 202)(83, 107)(85, 199)(86, 104)(88,
196)(89, 101)(91, 193)(92, 98)(94, 190)(96, 282)(97, 187)(99, 279)(100,
184)(102, 276)(103, 181)(105, 273)(106, 178)(108, 270)(109, 175)(111, 267)(112,
172)(114, 264)(115, 169)(117, 261)(118, 166)(120, 258)(121, 163)(123, 255)(124,
160)(126, 252)(127, 157)(129, 249)(130, 154)(132, 246)(133, 151)(135, 243)(136,
148)(138, 240)(139, 145)(141, 237)(144, 234)(147, 231)(150, 228)(153, 225)(156,
222)(159, 219)(162, 216)(165, 213)(168, 210)(171, 207)(174, 204)(177, 201)(180,
198)(183, 195)(186, 192)(191, 281)(194, 278)(197, 275)(200, 272)(203, 269)(206,
266)(209, 263)(212, 260)(215, 257)(218, 254)(221, 251)(224, 248)(227, 245)(230,
242)(233, 239)
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,
277, 278, 279, 280, 281, 282)
C4[ 282, 2 ]
282
-1 188 2 282 96
-2 1 189 3 97
-3 2 190 4 98
-4 99 3 191 5
-5 100 4 192 6
-6 101 5 193 7
-7 102 6 194 8
-8 103 7 195 9
-9 104 8 196 10
-10 11 105 9 197
-11 198 12 106 10
-12 11 199 13 107
-13 12 200 14 108
-14 13 201 15 109
-15 110 14 202 16
-16 111 15 203 17
-17 112 16 204 18
-18 113 17 205 19
-19 114 18 206 20
-20 115 19 207 21
-21 22 116 20 208
-22 209 23 117 21
-23 22 210 24 118
-24 23 211 25 119
-25 24 212 26 120
-26 121 25 213 27
-27 122 26 214 28
-28 123 27 215 29
-29 124 28 216 30
-30 125 29 217 31
-31 126 30 218 32
-32 33 127 31 219
-33 220 34 128 32
-34 33 221 35 129
-35 34 222 36 130
-36 35 223 37 131
-37 132 36 224 38
-38 133 37 225 39
-39 134 38 226 40
-40 135 39 227 41
-41 136 40 228 42
-42 137 41 229 43
-43 44 138 42 230
-44 231 45 139 43
-45 44 232 46 140
-46 45 233 47 141
-47 46 234 48 142
-48 143 47 235 49
-49 144 48 236 50
-50 145 49 237 51
-51 146 50 238 52
-52 147 51 239 53
-53 148 52 240 54
-54 55 149 53 241
-55 242 56 150 54
-56 55 243 57 151
-57 56 244 58 152
-58 57 245 59 153
-59 154 58 246 60
-60 155 59 247 61
-61 156 60 248 62
-62 157 61 249 63
-63 158 62 250 64
-64 159 63 251 65
-65 66 160 64 252
-66 253 67 161 65
-67 66 254 68 162
-68 67 255 69 163
-69 68 256 70 164
-70 165 69 257 71
-71 166 70 258 72
-72 167 71 259 73
-73 168 72 260 74
-74 169 73 261 75
-75 170 74 262 76
-76 77 171 75 263
-77 264 78 172 76
-78 77 265 79 173
-79 78 266 80 174
-80 79 267 81 175
-81 176 80 268 82
-82 177 81 269 83
-83 178 82 270 84
-84 179 83 271 85
-85 180 84 272 86
-86 181 85 273 87
-87 88 182 86 274
-88 275 89 183 87
-89 88 276 90 184
-90 89 277 91 185
-91 90 278 92 186
-92 187 91 279 93
-93 188 92 280 94
-94 189 93 281 95
-95 190 94 282 96
-96 1 191 95 97
-97 2 192 96 98
-98 99 3 193 97
-99 100 4 194 98
-100 99 101 5 195
-101 100 102 6 196
-102 101 103 7 197
-103 198 102 104 8
-104 199 103 105 9
-105 200 104 106 10
-106 11 201 105 107
-107 12 202 106 108
-108 13 203 107 109
-109 110 14 204 108
-110 111 15 205 109
-111 110 112 16 206
-112 111 113 17 207
-113 112 114 18 208
-114 209 113 115 19
-115 210 114 116 20
-116 211 115 117 21
-117 22 212 116 118
-118 23 213 117 119
-119 24 214 118 120
-120 121 25 215 119
-121 122 26 216 120
-122 121 123 27 217
-123 122 124 28 218
-124 123 125 29 219
-125 220 124 126 30
-126 221 125 127 31
-127 222 126 128 32
-128 33 223 127 129
-129 34 224 128 130
-130 35 225 129 131
-131 132 36 226 130
-132 133 37 227 131
-133 132 134 38 228
-134 133 135 39 229
-135 134 136 40 230
-136 231 135 137 41
-137 232 136 138 42
-138 233 137 139 43
-139 44 234 138 140
-140 45 235 139 141
-141 46 236 140 142
-142 143 47 237 141
-143 144 48 238 142
-144 143 145 49 239
-145 144 146 50 240
-146 145 147 51 241
-147 242 146 148 52
-148 243 147 149 53
-149 244 148 150 54
-150 55 245 149 151
-151 56 246 150 152
-152 57 247 151 153
-153 154 58 248 152
-154 155 59 249 153
-155 154 156 60 250
-156 155 157 61 251
-157 156 158 62 252
-158 253 157 159 63
-159 254 158 160 64
-160 255 159 161 65
-161 66 256 160 162
-162 67 257 161 163
-163 68 258 162 164
-164 165 69 259 163
-165 166 70 260 164
-166 165 167 71 261
-167 166 168 72 262
-168 167 169 73 263
-169 264 168 170 74
-170 265 169 171 75
-171 266 170 172 76
-172 77 267 171 173
-173 78 268 172 174
-174 79 269 173 175
-175 176 80 270 174
-176 177 81 271 175
-177 176 178 82 272
-178 177 179 83 273
-179 178 180 84 274
-180 275 179 181 85
-181 276 180 182 86
-182 277 181 183 87
-183 88 278 182 184
-184 89 279 183 185
-185 90 280 184 186
-186 187 91 281 185
-187 188 92 282 186
-188 187 1 189 93
-189 188 2 190 94
-190 189 3 191 95
-191 190 4 192 96
-192 191 5 193 97
-193 192 6 194 98
-194 99 193 7 195
-195 100 194 8 196
-196 101 195 9 197
-197 198 102 196 10
-198 11 199 103 197
-199 198 12 200 104
-200 199 13 201 105
-201 200 14 202 106
-202 201 15 203 107
-203 202 16 204 108
-204 203 17 205 109
-205 110 204 18 206
-206 111 205 19 207
-207 112 206 20 208
-208 209 113 207 21
-209 22 210 114 208
-210 209 23 211 115
-211 210 24 212 116
-212 211 25 213 117
-213 212 26 214 118
-214 213 27 215 119
-215 214 28 216 120
-216 121 215 29 217
-217 122 216 30 218
-218 123 217 31 219
-219 220 124 218 32
-220 33 221 125 219
-221 220 34 222 126
-222 221 35 223 127
-223 222 36 224 128
-224 223 37 225 129
-225 224 38 226 130
-226 225 39 227 131
-227 132 226 40 228
-228 133 227 41 229
-229 134 228 42 230
-230 231 135 229 43
-231 44 232 136 230
-232 231 45 233 137
-233 232 46 234 138
-234 233 47 235 139
-235 234 48 236 140
-236 235 49 237 141
-237 236 50 238 142
-238 143 237 51 239
-239 144 238 52 240
-240 145 239 53 241
-241 242 146 240 54
-242 55 243 147 241
-243 242 56 244 148
-244 243 57 245 149
-245 244 58 246 150
-246 245 59 247 151
-247 246 60 248 152
-248 247 61 249 153
-249 154 248 62 250
-250 155 249 63 251
-251 156 250 64 252
-252 253 157 251 65
-253 66 254 158 252
-254 253 67 255 159
-255 254 68 256 160
-256 255 69 257 161
-257 256 70 258 162
-258 257 71 259 163
-259 258 72 260 164
-260 165 259 73 261
-261 166 260 74 262
-262 167 261 75 263
-263 264 168 262 76
-264 77 265 169 263
-265 264 78 266 170
-266 265 79 267 171
-267 266 80 268 172
-268 267 81 269 173
-269 268 82 270 174
-270 269 83 271 175
-271 176 270 84 272
-272 177 271 85 273
-273 178 272 86 274
-274 275 179 273 87
-275 88 276 180 274
-276 275 89 277 181
-277 276 90 278 182
-278 277 91 279 183
-279 278 92 280 184
-280 279 93 281 185
-281 280 94 282 186
-282 187 1 281 95
0