Graph forms
for C4 [ 288, 3 ] = C_288(1,127)
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On this page are computer-accessible forms for the graph C4[ 288, 3 ] =
C_288(1,127).
(I) Following is a form readable by MAGMA:
g:=Graph<288|{ {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}, {188, 189},
{186, 187}, {184, 185}, {182, 183}, {180, 181}, {178, 179}, {176, 177}, {174,
175}, {172, 173}, {170, 171}, {168, 169}, {166, 167}, {164, 165}, {162, 163},
{160, 161}, {158, 159}, {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}, {54, 55}, {52, 53}, {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}, {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}, {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}, {189, 190}, {185, 186}, {181, 182}, {177,
178}, {173, 174}, {169, 170}, {165, 166}, {161, 162}, {85, 86}, {81, 82}, {77,
78}, {73, 74}, {69, 70}, {65, 66}, {61, 62}, {57, 58}, {53, 54}, {5, 6}, {9,
10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {41,
42}, {45, 46}, {49, 50}, {89, 90}, {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},
{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}, {187,
188}, {179, 180}, {171, 172}, {163, 164}, {83, 84}, {75, 76}, {67, 68}, {59,
60}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43, 44}, {51, 52}, {91, 92}, {99,
100}, {107, 108}, {115, 116}, {123, 124}, {131, 132}, {139, 140}, {147, 148},
{155, 156}, {7, 8}, {279, 280}, {263, 264}, {247, 248}, {231, 232}, {215, 216},
{199, 200}, {183, 184}, {167, 168}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {87,
88}, {103, 104}, {119, 120}, {135, 136}, {151, 152}, {15, 16}, {271, 272}, {239,
240}, {207, 208}, {175, 176}, {79, 80}, {47, 48}, {111, 112}, {143, 144}, {31,
32}, {287, 288}, {223, 224}, {159, 160}, {95, 96}, {63, 64}, {191, 192}, {128,
255}, {1, 128}, {83, 210}, {81, 208}, {79, 206}, {77, 204}, {75, 202}, {73,
200}, {71, 198}, {69, 196}, {67, 194}, {65, 192}, {63, 190}, {61, 188}, {59,
186}, {57, 184}, {55, 182}, {53, 180}, {3, 130}, {5, 132}, {7, 134}, {9, 136},
{11, 138}, {13, 140}, {15, 142}, {17, 144}, {19, 146}, {21, 148}, {23, 150},
{25, 152}, {27, 154}, {29, 156}, {31, 158}, {33, 160}, {35, 162}, {37, 164},
{39, 166}, {41, 168}, {43, 170}, {45, 172}, {47, 174}, {49, 176}, {51, 178},
{85, 212}, {87, 214}, {89, 216}, {91, 218}, {93, 220}, {95, 222}, {97, 224},
{99, 226}, {101, 228}, {103, 230}, {105, 232}, {107, 234}, {109, 236}, {111,
238}, {113, 240}, {115, 242}, {117, 244}, {119, 246}, {121, 248}, {123, 250},
{125, 252}, {127, 254}, {2, 129}, {82, 209}, {78, 205}, {74, 201}, {70, 197},
{66, 193}, {62, 189}, {58, 185}, {54, 181}, {6, 133}, {10, 137}, {14, 141}, {18,
145}, {22, 149}, {26, 153}, {30, 157}, {34, 161}, {38, 165}, {42, 169}, {46,
173}, {50, 177}, {86, 213}, {90, 217}, {94, 221}, {98, 225}, {102, 229}, {106,
233}, {110, 237}, {114, 241}, {118, 245}, {122, 249}, {126, 253}, {4, 131}, {84,
211}, {76, 203}, {68, 195}, {60, 187}, {52, 179}, {12, 139}, {20, 147}, {28,
155}, {36, 163}, {44, 171}, {92, 219}, {100, 227}, {108, 235}, {116, 243}, {124,
251}, {8, 135}, {72, 199}, {56, 183}, {24, 151}, {40, 167}, {88, 215}, {104,
231}, {120, 247}, {16, 143}, {80, 207}, {48, 175}, {112, 239}, {2, 163}, {84,
245}, {82, 243}, {80, 241}, {78, 239}, {76, 237}, {74, 235}, {72, 233}, {70,
231}, {68, 229}, {66, 227}, {64, 225}, {4, 165}, {6, 167}, {8, 169}, {10, 171},
{12, 173}, {14, 175}, {16, 177}, {18, 179}, {20, 181}, {22, 183}, {24, 185},
{26, 187}, {28, 189}, {30, 191}, {86, 247}, {88, 249}, {90, 251}, {92, 253},
{94, 255}, {1, 162}, {81, 242}, {77, 238}, {73, 234}, {69, 230}, {65, 226}, {5,
166}, {9, 170}, {13, 174}, {17, 178}, {21, 182}, {25, 186}, {29, 190}, {85,
246}, {89, 250}, {93, 254}, {3, 164}, {83, 244}, {75, 236}, {67, 228}, {11,
172}, {19, 180}, {27, 188}, {91, 252}, {7, 168}, {71, 232}, {23, 184}, {87,
248}, {15, 176}, {79, 240}, {32, 159}, {96, 223}, {31, 192}, {63, 224}, {32,
193}, {62, 223}, {60, 221}, {58, 219}, {56, 217}, {54, 215}, {52, 213}, {34,
195}, {36, 197}, {38, 199}, {40, 201}, {42, 203}, {44, 205}, {46, 207}, {48,
209}, {50, 211}, {33, 194}, {61, 222}, {57, 218}, {53, 214}, {37, 198}, {41,
202}, {45, 206}, {49, 210}, {35, 196}, {59, 220}, {51, 212}, {43, 204}, {39,
200}, {55, 216}, {47, 208}, {64, 191}, {127, 128}, {1, 288}, {95, 256}, {127,
288}, {96, 257}, {98, 259}, {100, 261}, {102, 263}, {104, 265}, {106, 267},
{108, 269}, {110, 271}, {112, 273}, {114, 275}, {116, 277}, {118, 279}, {120,
281}, {122, 283}, {124, 285}, {126, 287}, {97, 258}, {101, 262}, {105, 266},
{109, 270}, {113, 274}, {117, 278}, {121, 282}, {125, 286}, {99, 260}, {107,
268}, {115, 276}, {123, 284}, {103, 264}, {119, 280}, {111, 272}, {129, 256},
{161, 288}, {159, 286}, {131, 258}, {133, 260}, {135, 262}, {137, 264}, {139,
266}, {141, 268}, {143, 270}, {145, 272}, {147, 274}, {149, 276}, {151, 278},
{153, 280}, {155, 282}, {157, 284}, {130, 257}, {158, 285}, {134, 261}, {138,
265}, {142, 269}, {146, 273}, {150, 277}, {154, 281}, {132, 259}, {140, 267},
{148, 275}, {156, 283}, {136, 263}, {152, 279}, {144, 271}, {160, 287}, {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, 288) (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, 128)(3, 255)(4, 94)(5, 221)(6, 60)(7, 187)(8, 26)(9, 153)(10, 280)(11,
119)(12, 246)(13, 85)(14, 212)(15, 51)(16, 178)(18, 144)(19, 271)(20, 110)(21,
237)(22, 76)(23, 203)(24, 42)(25, 169)(27, 135)(28, 262)(29, 101)(30, 228)(31,
67)(32, 194)(34, 160)(35, 287)(36, 126)(37, 253)(38, 92)(39, 219)(40, 58)(41,
185)(43, 151)(44, 278)(45, 117)(46, 244)(47, 83)(48, 210)(50, 176)(52, 142)(53,
269)(54, 108)(55, 235)(56, 74)(57, 201)(59, 167)(61, 133)(62, 260)(63, 99)(64,
226)(66, 192)(68, 158)(69, 285)(70, 124)(71, 251)(72, 90)(73, 217)(75, 183)(77,
149)(78, 276)(79, 115)(80, 242)(82, 208)(84, 174)(86, 140)(87, 267)(88, 106)(89,
233)(91, 199)(93, 165)(95, 131)(96, 258)(98, 224)(100, 190)(102, 156)(103,
283)(104, 122)(105, 249)(107, 215)(109, 181)(111, 147)(112, 274)(114, 240)(116,
206)(118, 172)(120, 138)(121, 265)(123, 231)(125, 197)(127, 163)(130, 256)(132,
222)(134, 188)(136, 154)(137, 281)(139, 247)(141, 213)(143, 179)(146, 272)(148,
238)(150, 204)(152, 170)(155, 263)(157, 229)(159, 195)(162, 288)(164, 254)(166,
220)(168, 186)(171, 279)(173, 245)(175, 211)(180, 270)(182, 236)(184, 202)(189,
261)(191, 227)(196, 286)(198, 252)(200, 218)(205, 277)(207, 243)(214, 268)(216,
234)(223, 259)(230, 284)(232, 250)(239, 275)(248, 266)(264, 282)
c: (2, 162)(3, 35)(4, 196)(5, 69)(6, 230)(7, 103)(8, 264)(9, 137)(11, 171)(12,
44)(13, 205)(14, 78)(15, 239)(16, 112)(17, 273)(18, 146)(20, 180)(21, 53)(22,
214)(23, 87)(24, 248)(25, 121)(26, 282)(27, 155)(29, 189)(30, 62)(31, 223)(32,
96)(33, 257)(34, 130)(36, 164)(38, 198)(39, 71)(40, 232)(41, 105)(42, 266)(43,
139)(45, 173)(47, 207)(48, 80)(49, 241)(50, 114)(51, 275)(52, 148)(54, 182)(56,
216)(57, 89)(58, 250)(59, 123)(60, 284)(61, 157)(63, 191)(65, 225)(66, 98)(67,
259)(68, 132)(70, 166)(72, 200)(74, 234)(75, 107)(76, 268)(77, 141)(79, 175)(81,
209)(83, 243)(84, 116)(85, 277)(86, 150)(88, 184)(90, 218)(92, 252)(93, 125)(94,
286)(95, 159)(97, 193)(99, 227)(101, 261)(102, 134)(104, 168)(106, 202)(108,
236)(110, 270)(111, 143)(113, 177)(115, 211)(117, 245)(119, 279)(120, 152)(122,
186)(124, 220)(126, 254)(128, 288)(129, 161)(131, 195)(133, 229)(135, 263)(138,
170)(140, 204)(142, 238)(144, 272)(147, 179)(149, 213)(151, 247)(153, 281)(156,
188)(158, 222)(160, 256)(165, 197)(167, 231)(169, 265)(174, 206)(176, 240)(178,
274)(183, 215)(185, 249)(187, 283)(192, 224)(194, 258)(201, 233)(203, 267)(210,
242)(212, 276)(219, 251)(221, 285)(228, 260)(237, 269)(246, 278)(255, 287)
C4[ 288, 3 ]
288
-1 2 288 128 162
-2 1 3 129 163
-3 2 4 130 164
-4 165 3 5 131
-5 132 166 4 6
-6 133 167 5 7
-7 134 168 6 8
-8 135 169 7 9
-9 136 170 8 10
-10 11 137 171 9
-11 12 138 172 10
-12 11 13 139 173
-13 12 14 140 174
-14 13 15 141 175
-15 176 14 16 142
-16 143 177 15 17
-17 144 178 16 18
-18 145 179 17 19
-19 146 180 18 20
-20 147 181 19 21
-21 22 148 182 20
-22 23 149 183 21
-23 22 24 150 184
-24 23 25 151 185
-25 24 26 152 186
-26 187 25 27 153
-27 154 188 26 28
-28 155 189 27 29
-29 156 190 28 30
-30 157 191 29 31
-31 158 192 30 32
-32 33 159 193 31
-33 34 160 194 32
-34 33 35 161 195
-35 34 36 162 196
-36 35 37 163 197
-37 198 36 38 164
-38 165 199 37 39
-39 166 200 38 40
-40 167 201 39 41
-41 168 202 40 42
-42 169 203 41 43
-43 44 170 204 42
-44 45 171 205 43
-45 44 46 172 206
-46 45 47 173 207
-47 46 48 174 208
-48 209 47 49 175
-49 176 210 48 50
-50 177 211 49 51
-51 178 212 50 52
-52 179 213 51 53
-53 180 214 52 54
-54 55 181 215 53
-55 56 182 216 54
-56 55 57 183 217
-57 56 58 184 218
-58 57 59 185 219
-59 220 58 60 186
-60 187 221 59 61
-61 188 222 60 62
-62 189 223 61 63
-63 190 224 62 64
-64 191 225 63 65
-65 66 192 226 64
-66 67 193 227 65
-67 66 68 194 228
-68 67 69 195 229
-69 68 70 196 230
-70 231 69 71 197
-71 198 232 70 72
-72 199 233 71 73
-73 200 234 72 74
-74 201 235 73 75
-75 202 236 74 76
-76 77 203 237 75
-77 78 204 238 76
-78 77 79 205 239
-79 78 80 206 240
-80 79 81 207 241
-81 242 80 82 208
-82 209 243 81 83
-83 210 244 82 84
-84 211 245 83 85
-85 212 246 84 86
-86 213 247 85 87
-87 88 214 248 86
-88 89 215 249 87
-89 88 90 216 250
-90 89 91 217 251
-91 90 92 218 252
-92 253 91 93 219
-93 220 254 92 94
-94 221 255 93 95
-95 222 256 94 96
-96 223 257 95 97
-97 224 258 96 98
-98 99 225 259 97
-99 100 226 260 98
-100 99 101 227 261
-101 100 102 228 262
-102 101 103 229 263
-103 264 102 104 230
-104 231 265 103 105
-105 232 266 104 106
-106 233 267 105 107
-107 234 268 106 108
-108 235 269 107 109
-109 110 236 270 108
-110 111 237 271 109
-111 110 112 238 272
-112 111 113 239 273
-113 112 114 240 274
-114 275 113 115 241
-115 242 276 114 116
-116 243 277 115 117
-117 244 278 116 118
-118 245 279 117 119
-119 246 280 118 120
-120 121 247 281 119
-121 122 248 282 120
-122 121 123 249 283
-123 122 124 250 284
-124 123 125 251 285
-125 286 124 126 252
-126 253 287 125 127
-127 254 288 126 128
-128 1 255 127 129
-129 2 256 128 130
-130 3 257 129 131
-131 132 4 258 130
-132 133 5 259 131
-133 132 134 6 260
-134 133 135 7 261
-135 134 136 8 262
-136 135 137 9 263
-137 264 136 138 10
-138 11 265 137 139
-139 12 266 138 140
-140 13 267 139 141
-141 14 268 140 142
-142 143 15 269 141
-143 144 16 270 142
-144 143 145 17 271
-145 144 146 18 272
-146 145 147 19 273
-147 146 148 20 274
-148 275 147 149 21
-149 22 276 148 150
-150 23 277 149 151
-151 24 278 150 152
-152 25 279 151 153
-153 154 26 280 152
-154 155 27 281 153
-155 154 156 28 282
-156 155 157 29 283
-157 156 158 30 284
-158 157 159 31 285
-159 286 158 160 32
-160 33 287 159 161
-161 34 288 160 162
-162 1 35 161 163
-163 2 36 162 164
-164 165 3 37 163
-165 166 4 38 164
-166 165 167 5 39
-167 166 168 6 40
-168 167 169 7 41
-169 168 170 8 42
-170 169 171 9 43
-171 44 170 172 10
-172 11 45 171 173
-173 12 46 172 174
-174 13 47 173 175
-175 176 14 48 174
-176 177 15 49 175
-177 176 178 16 50
-178 177 179 17 51
-179 178 180 18 52
-180 179 181 19 53
-181 180 182 20 54
-182 55 181 183 21
-183 22 56 182 184
-184 23 57 183 185
-185 24 58 184 186
-186 187 25 59 185
-187 188 26 60 186
-188 187 189 27 61
-189 188 190 28 62
-190 189 191 29 63
-191 190 192 30 64
-192 191 193 31 65
-193 66 192 194 32
-194 33 67 193 195
-195 34 68 194 196
-196 35 69 195 197
-197 198 36 70 196
-198 199 37 71 197
-199 198 200 38 72
-200 199 201 39 73
-201 200 202 40 74
-202 201 203 41 75
-203 202 204 42 76
-204 77 203 205 43
-205 44 78 204 206
-206 45 79 205 207
-207 46 80 206 208
-208 209 47 81 207
-209 210 48 82 208
-210 209 211 49 83
-211 210 212 50 84
-212 211 213 51 85
-213 212 214 52 86
-214 213 215 53 87
-215 88 214 216 54
-216 55 89 215 217
-217 56 90 216 218
-218 57 91 217 219
-219 220 58 92 218
-220 221 59 93 219
-221 220 222 60 94
-222 221 223 61 95
-223 222 224 62 96
-224 223 225 63 97
-225 224 226 64 98
-226 99 225 227 65
-227 66 100 226 228
-228 67 101 227 229
-229 68 102 228 230
-230 231 69 103 229
-231 232 70 104 230
-232 231 233 71 105
-233 232 234 72 106
-234 233 235 73 107
-235 234 236 74 108
-236 235 237 75 109
-237 110 236 238 76
-238 77 111 237 239
-239 78 112 238 240
-240 79 113 239 241
-241 242 80 114 240
-242 243 81 115 241
-243 242 244 82 116
-244 243 245 83 117
-245 244 246 84 118
-246 245 247 85 119
-247 246 248 86 120
-248 121 247 249 87
-249 88 122 248 250
-250 89 123 249 251
-251 90 124 250 252
-252 253 91 125 251
-253 254 92 126 252
-254 253 255 93 127
-255 254 256 94 128
-256 255 257 95 129
-257 256 258 96 130
-258 257 259 97 131
-259 132 258 260 98
-260 99 133 259 261
-261 100 134 260 262
-262 101 135 261 263
-263 264 102 136 262
-264 265 103 137 263
-265 264 266 104 138
-266 265 267 105 139
-267 266 268 106 140
-268 267 269 107 141
-269 268 270 108 142
-270 143 269 271 109
-271 110 144 270 272
-272 111 145 271 273
-273 112 146 272 274
-274 275 113 147 273
-275 276 114 148 274
-276 275 277 115 149
-277 276 278 116 150
-278 277 279 117 151
-279 278 280 118 152
-280 279 281 119 153
-281 154 280 282 120
-282 121 155 281 283
-283 122 156 282 284
-284 123 157 283 285
-285 286 124 158 284
-286 287 125 159 285
-287 286 288 126 160
-288 1 287 127 161
0