Graph forms
for C4 [ 287, 1 ] = C_287(1,83)
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On this page are computer-accessible forms for the graph C4[ 287, 1 ] =
C_287(1,83).
(I) Following is a form readable by MAGMA:
g:=Graph<287|{ {2, 3}, {286, 287}, {284, 285}, {282, 283}, {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}, {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}, {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}, {285, 286}, {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}, {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}, {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}, {283, 284}, {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}, {279, 280}, {263, 264}, {247, 248}, {231, 232}, {215, 216},
{199, 200}, {87, 88}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {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, 87}, {8, 91}, {12, 95}, {32,
115}, {36, 119}, {40, 123}, {44, 127}, {128, 211}, {132, 215}, {136, 219}, {140,
223}, {160, 243}, {164, 247}, {168, 251}, {172, 255}, {1, 84}, {3, 86}, {9, 92},
{11, 94}, {33, 116}, {35, 118}, {41, 124}, {43, 126}, {129, 212}, {131, 214},
{137, 220}, {139, 222}, {161, 244}, {163, 246}, {169, 252}, {171, 254}, {2, 85},
{10, 93}, {34, 117}, {42, 125}, {130, 213}, {138, 221}, {162, 245}, {170, 253},
{5, 88}, {7, 90}, {37, 120}, {39, 122}, {133, 216}, {135, 218}, {165, 248},
{167, 250}, {6, 89}, {38, 121}, {134, 217}, {166, 249}, {13, 96}, {15, 98}, {29,
112}, {31, 114}, {141, 224}, {143, 226}, {157, 240}, {159, 242}, {14, 97}, {30,
113}, {142, 225}, {158, 241}, {16, 99}, {20, 103}, {24, 107}, {28, 111}, {144,
227}, {148, 231}, {152, 235}, {156, 239}, {17, 100}, {19, 102}, {25, 108}, {27,
110}, {145, 228}, {147, 230}, {153, 236}, {155, 238}, {18, 101}, {26, 109},
{146, 229}, {154, 237}, {21, 104}, {23, 106}, {149, 232}, {151, 234}, {22, 105},
{191, 192}, {63, 64}, {150, 233}, {45, 128}, {63, 146}, {61, 144}, {47, 130},
{109, 192}, {111, 194}, {125, 208}, {127, 210}, {46, 129}, {62, 145}, {110,
193}, {126, 209}, {48, 131}, {60, 143}, {56, 139}, {52, 135}, {112, 195}, {116,
199}, {120, 203}, {124, 207}, {49, 132}, {59, 142}, {57, 140}, {51, 134}, {113,
196}, {115, 198}, {121, 204}, {123, 206}, {50, 133}, {58, 141}, {114, 197},
{122, 205}, {53, 136}, {55, 138}, {117, 200}, {119, 202}, {54, 137}, {118, 201},
{1, 205}, {2, 206}, {3, 207}, {16, 220}, {17, 221}, {18, 222}, {19, 223}, {32,
236}, {33, 237}, {34, 238}, {35, 239}, {48, 252}, {49, 253}, {50, 254}, {51,
255}, {64, 147}, {96, 179}, {76, 159}, {72, 155}, {68, 151}, {100, 183}, {104,
187}, {108, 191}, {4, 208}, {5, 209}, {6, 210}, {7, 211}, {12, 216}, {13, 217},
{14, 218}, {15, 219}, {36, 240}, {37, 241}, {38, 242}, {39, 243}, {44, 248},
{45, 249}, {46, 250}, {47, 251}, {65, 148}, {97, 180}, {75, 158}, {73, 156},
{67, 150}, {99, 182}, {105, 188}, {107, 190}, {66, 149}, {74, 157}, {98, 181},
{106, 189}, {8, 212}, {9, 213}, {10, 214}, {11, 215}, {40, 244}, {41, 245}, {42,
246}, {43, 247}, {69, 152}, {71, 154}, {101, 184}, {103, 186}, {70, 153}, {102,
185}, {77, 160}, {95, 178}, {93, 176}, {79, 162}, {78, 161}, {94, 177}, {80,
163}, {92, 175}, {88, 171}, {84, 167}, {20, 224}, {21, 225}, {22, 226}, {23,
227}, {28, 232}, {29, 233}, {30, 234}, {31, 235}, {81, 164}, {91, 174}, {89,
172}, {83, 166}, {82, 165}, {90, 173}, {24, 228}, {25, 229}, {26, 230}, {27,
231}, {85, 168}, {87, 170}, {86, 169}, {127, 128}, {1, 287}, {52, 256}, {63,
267}, {62, 266}, {61, 265}, {60, 264}, {55, 259}, {54, 258}, {53, 257}, {56,
260}, {59, 263}, {58, 262}, {57, 261}, {64, 268}, {83, 287}, {82, 286}, {81,
285}, {80, 284}, {67, 271}, {66, 270}, {65, 269}, {68, 272}, {79, 283}, {78,
282}, {77, 281}, {76, 280}, {71, 275}, {70, 274}, {69, 273}, {72, 276}, {75,
279}, {74, 278}, {73, 277}, {173, 256}, {191, 274}, {175, 258}, {189, 272},
{174, 257}, {190, 273}, {176, 259}, {180, 263}, {184, 267}, {188, 271}, {177,
260}, {179, 262}, {185, 268}, {187, 270}, {178, 261}, {186, 269}, {181, 264},
{183, 266}, {182, 265}, {192, 275}, {204, 287}, {200, 283}, {196, 279}, {193,
276}, {203, 286}, {201, 284}, {195, 278}, {194, 277}, {202, 285}, {197, 280},
{199, 282}, {198, 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: (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, 283, 284, 285, 286, 287) (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, 205)(3, 122)(4, 39)(5, 243)(6, 160)(7, 77)(8, 281)(9, 198)(10, 115)(11,
32)(12, 236)(13, 153)(14, 70)(15, 274)(16, 191)(17, 108)(18, 25)(19, 229)(20,
146)(21, 63)(22, 267)(23, 184)(24, 101)(26, 222)(27, 139)(28, 56)(29, 260)(30,
177)(31, 94)(33, 215)(34, 132)(35, 49)(36, 253)(37, 170)(38, 87)(40, 208)(41,
125)(43, 246)(44, 163)(45, 80)(46, 284)(47, 201)(48, 118)(50, 239)(51, 156)(52,
73)(53, 277)(54, 194)(55, 111)(57, 232)(58, 149)(59, 66)(60, 270)(61, 187)(62,
104)(64, 225)(65, 142)(67, 263)(68, 180)(69, 97)(71, 218)(72, 135)(74, 256)(75,
173)(76, 90)(78, 211)(79, 128)(81, 249)(82, 166)(84, 287)(85, 204)(86, 121)(88,
242)(89, 159)(91, 280)(92, 197)(93, 114)(95, 235)(96, 152)(98, 273)(99,
190)(100, 107)(102, 228)(103, 145)(105, 266)(106, 183)(109, 221)(110, 138)(112,
259)(113, 176)(116, 214)(117, 131)(119, 252)(120, 169)(123, 207)(126, 245)(127,
162)(129, 283)(130, 200)(133, 238)(134, 155)(136, 276)(137, 193)(140, 231)(141,
148)(143, 269)(144, 186)(147, 224)(150, 262)(151, 179)(154, 217)(157, 255)(158,
172)(161, 210)(164, 248)(167, 286)(168, 203)(171, 241)(174, 279)(175, 196)(178,
234)(181, 272)(182, 189)(185, 227)(188, 265)(192, 220)(195, 258)(199, 213)(202,
251)(209, 244)(212, 282)(216, 237)(219, 275)(223, 230)(226, 268)(233, 261)(240,
254)(250, 285)(257, 278)(264, 271)
c: (2, 84)(3, 167)(4, 250)(5, 46)(6, 129)(7, 212)(9, 91)(10, 174)(11, 257)(12,
53)(13, 136)(14, 219)(16, 98)(17, 181)(18, 264)(19, 60)(20, 143)(21, 226)(23,
105)(24, 188)(25, 271)(26, 67)(27, 150)(28, 233)(30, 112)(31, 195)(32, 278)(33,
74)(34, 157)(35, 240)(37, 119)(38, 202)(39, 285)(40, 81)(41, 164)(42, 247)(44,
126)(45, 209)(47, 88)(48, 171)(49, 254)(51, 133)(52, 216)(54, 95)(55, 178)(56,
261)(58, 140)(59, 223)(61, 102)(62, 185)(63, 268)(65, 147)(66, 230)(68, 109)(69,
192)(70, 275)(72, 154)(73, 237)(75, 116)(76, 199)(77, 282)(79, 161)(80, 244)(82,
123)(83, 206)(86, 168)(87, 251)(89, 130)(90, 213)(93, 175)(94, 258)(96, 137)(97,
220)(100, 182)(101, 265)(103, 144)(104, 227)(107, 189)(108, 272)(110, 151)(111,
234)(114, 196)(115, 279)(117, 158)(118, 241)(121, 203)(122, 286)(124, 165)(125,
248)(128, 210)(131, 172)(132, 255)(135, 217)(138, 179)(139, 262)(142, 224)(145,
186)(146, 269)(149, 231)(152, 193)(153, 276)(156, 238)(159, 200)(160, 283)(163,
245)(166, 207)(170, 252)(173, 214)(177, 259)(180, 221)(184, 266)(187, 228)(191,
273)(194, 235)(198, 280)(201, 242)(205, 287)(208, 249)(215, 256)(222, 263)(229,
270)(236, 277)(243, 284)
C4[ 287, 1 ]
287
-1 287 2 84 205
-2 1 3 85 206
-3 2 4 86 207
-4 3 5 87 208
-5 88 209 4 6
-6 89 210 5 7
-7 90 211 6 8
-8 91 212 7 9
-9 92 213 8 10
-10 11 93 214 9
-11 12 94 215 10
-12 11 13 95 216
-13 12 14 96 217
-14 13 15 97 218
-15 14 16 98 219
-16 99 220 15 17
-17 100 221 16 18
-18 101 222 17 19
-19 102 223 18 20
-20 103 224 19 21
-21 22 104 225 20
-22 23 105 226 21
-23 22 24 106 227
-24 23 25 107 228
-25 24 26 108 229
-26 25 27 109 230
-27 110 231 26 28
-28 111 232 27 29
-29 112 233 28 30
-30 113 234 29 31
-31 114 235 30 32
-32 33 115 236 31
-33 34 116 237 32
-34 33 35 117 238
-35 34 36 118 239
-36 35 37 119 240
-37 36 38 120 241
-38 121 242 37 39
-39 122 243 38 40
-40 123 244 39 41
-41 124 245 40 42
-42 125 246 41 43
-43 44 126 247 42
-44 45 127 248 43
-45 44 46 128 249
-46 45 47 129 250
-47 46 48 130 251
-48 47 49 131 252
-49 132 253 48 50
-50 133 254 49 51
-51 134 255 50 52
-52 135 256 51 53
-53 136 257 52 54
-54 55 137 258 53
-55 56 138 259 54
-56 55 57 139 260
-57 56 58 140 261
-58 57 59 141 262
-59 58 60 142 263
-60 143 264 59 61
-61 144 265 60 62
-62 145 266 61 63
-63 146 267 62 64
-64 147 268 63 65
-65 66 148 269 64
-66 67 149 270 65
-67 66 68 150 271
-68 67 69 151 272
-69 68 70 152 273
-70 69 71 153 274
-71 154 275 70 72
-72 155 276 71 73
-73 156 277 72 74
-74 157 278 73 75
-75 158 279 74 76
-76 77 159 280 75
-77 78 160 281 76
-78 77 79 161 282
-79 78 80 162 283
-80 79 81 163 284
-81 80 82 164 285
-82 165 286 81 83
-83 166 287 82 84
-84 1 167 83 85
-85 2 168 84 86
-86 3 169 85 87
-87 88 4 170 86
-88 89 5 171 87
-89 88 90 6 172
-90 89 91 7 173
-91 90 92 8 174
-92 91 93 9 175
-93 176 92 94 10
-94 11 177 93 95
-95 12 178 94 96
-96 13 179 95 97
-97 14 180 96 98
-98 99 15 181 97
-99 100 16 182 98
-100 99 101 17 183
-101 100 102 18 184
-102 101 103 19 185
-103 102 104 20 186
-104 187 103 105 21
-105 22 188 104 106
-106 23 189 105 107
-107 24 190 106 108
-108 25 191 107 109
-109 110 26 192 108
-110 111 27 193 109
-111 110 112 28 194
-112 111 113 29 195
-113 112 114 30 196
-114 113 115 31 197
-115 198 114 116 32
-116 33 199 115 117
-117 34 200 116 118
-118 35 201 117 119
-119 36 202 118 120
-120 121 37 203 119
-121 122 38 204 120
-122 121 123 39 205
-123 122 124 40 206
-124 123 125 41 207
-125 124 126 42 208
-126 209 125 127 43
-127 44 210 126 128
-128 45 211 127 129
-129 46 212 128 130
-130 47 213 129 131
-131 132 48 214 130
-132 133 49 215 131
-133 132 134 50 216
-134 133 135 51 217
-135 134 136 52 218
-136 135 137 53 219
-137 220 136 138 54
-138 55 221 137 139
-139 56 222 138 140
-140 57 223 139 141
-141 58 224 140 142
-142 143 59 225 141
-143 144 60 226 142
-144 143 145 61 227
-145 144 146 62 228
-146 145 147 63 229
-147 146 148 64 230
-148 231 147 149 65
-149 66 232 148 150
-150 67 233 149 151
-151 68 234 150 152
-152 69 235 151 153
-153 154 70 236 152
-154 155 71 237 153
-155 154 156 72 238
-156 155 157 73 239
-157 156 158 74 240
-158 157 159 75 241
-159 242 158 160 76
-160 77 243 159 161
-161 78 244 160 162
-162 79 245 161 163
-163 80 246 162 164
-164 165 81 247 163
-165 166 82 248 164
-166 165 167 83 249
-167 166 168 84 250
-168 167 169 85 251
-169 168 170 86 252
-170 253 169 171 87
-171 88 254 170 172
-172 89 255 171 173
-173 90 256 172 174
-174 91 257 173 175
-175 176 92 258 174
-176 177 93 259 175
-177 176 178 94 260
-178 177 179 95 261
-179 178 180 96 262
-180 179 181 97 263
-181 264 180 182 98
-182 99 265 181 183
-183 100 266 182 184
-184 101 267 183 185
-185 102 268 184 186
-186 187 103 269 185
-187 188 104 270 186
-188 187 189 105 271
-189 188 190 106 272
-190 189 191 107 273
-191 190 192 108 274
-192 275 191 193 109
-193 110 276 192 194
-194 111 277 193 195
-195 112 278 194 196
-196 113 279 195 197
-197 198 114 280 196
-198 199 115 281 197
-199 198 200 116 282
-200 199 201 117 283
-201 200 202 118 284
-202 201 203 119 285
-203 286 202 204 120
-204 121 287 203 205
-205 1 122 204 206
-206 2 123 205 207
-207 3 124 206 208
-208 209 4 125 207
-209 210 5 126 208
-210 209 211 6 127
-211 210 212 7 128
-212 211 213 8 129
-213 212 214 9 130
-214 213 215 10 131
-215 11 132 214 216
-216 12 133 215 217
-217 13 134 216 218
-218 14 135 217 219
-219 220 15 136 218
-220 221 16 137 219
-221 220 222 17 138
-222 221 223 18 139
-223 222 224 19 140
-224 223 225 20 141
-225 224 226 21 142
-226 22 143 225 227
-227 23 144 226 228
-228 24 145 227 229
-229 25 146 228 230
-230 231 26 147 229
-231 232 27 148 230
-232 231 233 28 149
-233 232 234 29 150
-234 233 235 30 151
-235 234 236 31 152
-236 235 237 32 153
-237 33 154 236 238
-238 34 155 237 239
-239 35 156 238 240
-240 36 157 239 241
-241 242 37 158 240
-242 243 38 159 241
-243 242 244 39 160
-244 243 245 40 161
-245 244 246 41 162
-246 245 247 42 163
-247 246 248 43 164
-248 44 165 247 249
-249 45 166 248 250
-250 46 167 249 251
-251 47 168 250 252
-252 253 48 169 251
-253 254 49 170 252
-254 253 255 50 171
-255 254 256 51 172
-256 255 257 52 173
-257 256 258 53 174
-258 257 259 54 175
-259 55 176 258 260
-260 56 177 259 261
-261 57 178 260 262
-262 58 179 261 263
-263 264 59 180 262
-264 265 60 181 263
-265 264 266 61 182
-266 265 267 62 183
-267 266 268 63 184
-268 267 269 64 185
-269 268 270 65 186
-270 66 187 269 271
-271 67 188 270 272
-272 68 189 271 273
-273 69 190 272 274
-274 275 70 191 273
-275 276 71 192 274
-276 275 277 72 193
-277 276 278 73 194
-278 277 279 74 195
-279 278 280 75 196
-280 279 281 76 197
-281 77 198 280 282
-282 78 199 281 283
-283 79 200 282 284
-284 80 201 283 285
-285 286 81 202 284
-286 287 82 203 285
-287 286 1 83 204
0