Graph forms
for C4 [ 285, 2 ] = C_285(1,94)
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On this page are computer-accessible forms for the graph C4[ 285, 2 ] =
C_285(1,94).
(I) Following is a form readable by MAGMA:
g:=Graph<285|{ {2, 3}, {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}, {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}, {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}, {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}, {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}, {177, 178}, {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}, {161, 162}, {165, 166}, {169, 170}, {173, 174}, {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}, {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}, {163, 164}, {171, 172}, {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}, {1, 95}, {32, 126}, {33, 127}, {128, 222}, {129, 223}, {160,
254}, {161, 255}, {2, 96}, {3, 97}, {6, 100}, {7, 101}, {10, 104}, {11, 105},
{14, 108}, {15, 109}, {18, 112}, {19, 113}, {22, 116}, {23, 117}, {26, 120},
{27, 121}, {30, 124}, {31, 125}, {130, 224}, {131, 225}, {134, 228}, {135, 229},
{138, 232}, {139, 233}, {142, 236}, {143, 237}, {146, 240}, {147, 241}, {150,
244}, {151, 245}, {154, 248}, {155, 249}, {158, 252}, {159, 253}, {4, 98}, {5,
99}, {12, 106}, {13, 107}, {20, 114}, {21, 115}, {28, 122}, {29, 123}, {132,
226}, {133, 227}, {140, 234}, {141, 235}, {148, 242}, {149, 243}, {156, 250},
{157, 251}, {8, 102}, {9, 103}, {24, 118}, {25, 119}, {136, 230}, {137, 231},
{152, 246}, {153, 247}, {16, 110}, {17, 111}, {144, 238}, {145, 239}, {63, 64},
{191, 192}, {34, 128}, {63, 157}, {62, 156}, {59, 153}, {58, 152}, {55, 149},
{54, 148}, {51, 145}, {35, 129}, {38, 132}, {39, 133}, {42, 136}, {43, 137},
{46, 140}, {47, 141}, {50, 144}, {98, 192}, {99, 193}, {102, 196}, {103, 197},
{106, 200}, {107, 201}, {110, 204}, {111, 205}, {114, 208}, {115, 209}, {118,
212}, {119, 213}, {122, 216}, {123, 217}, {126, 220}, {127, 221}, {36, 130},
{61, 155}, {60, 154}, {53, 147}, {52, 146}, {37, 131}, {44, 138}, {45, 139},
{100, 194}, {101, 195}, {108, 202}, {109, 203}, {116, 210}, {117, 211}, {124,
218}, {125, 219}, {40, 134}, {57, 151}, {56, 150}, {41, 135}, {104, 198}, {105,
199}, {120, 214}, {121, 215}, {48, 142}, {49, 143}, {112, 206}, {113, 207}, {64,
255}, {1, 192}, {63, 254}, {61, 252}, {59, 250}, {57, 248}, {55, 246}, {53,
244}, {51, 242}, {3, 194}, {5, 196}, {7, 198}, {9, 200}, {11, 202}, {13, 204},
{15, 206}, {17, 208}, {19, 210}, {21, 212}, {23, 214}, {25, 216}, {27, 218},
{29, 220}, {31, 222}, {33, 224}, {35, 226}, {37, 228}, {39, 230}, {41, 232},
{43, 234}, {45, 236}, {47, 238}, {49, 240}, {2, 193}, {62, 253}, {58, 249}, {54,
245}, {6, 197}, {10, 201}, {14, 205}, {18, 209}, {22, 213}, {26, 217}, {30,
221}, {34, 225}, {38, 229}, {42, 233}, {46, 237}, {50, 241}, {4, 195}, {60,
251}, {52, 243}, {12, 203}, {20, 211}, {28, 219}, {36, 227}, {44, 235}, {8,
199}, {56, 247}, {24, 215}, {40, 231}, {64, 158}, {65, 159}, {96, 190}, {97,
191}, {16, 207}, {48, 239}, {66, 160}, {87, 181}, {86, 180}, {83, 177}, {82,
176}, {79, 173}, {78, 172}, {75, 169}, {74, 168}, {71, 165}, {70, 164}, {67,
161}, {90, 184}, {91, 185}, {94, 188}, {95, 189}, {68, 162}, {85, 179}, {84,
178}, {77, 171}, {76, 170}, {69, 163}, {92, 186}, {93, 187}, {72, 166}, {88,
182}, {73, 167}, {89, 183}, {80, 174}, {81, 175}, {32, 223}, {127, 128}, {1,
285}, {65, 256}, {87, 278}, {85, 276}, {83, 274}, {81, 272}, {79, 270}, {77,
268}, {75, 266}, {73, 264}, {71, 262}, {69, 260}, {67, 258}, {89, 280}, {91,
282}, {93, 284}, {66, 257}, {86, 277}, {82, 273}, {78, 269}, {74, 265}, {70,
261}, {90, 281}, {94, 285}, {68, 259}, {84, 275}, {76, 267}, {92, 283}, {72,
263}, {88, 279}, {80, 271}, {162, 256}, {191, 285}, {190, 284}, {187, 281},
{186, 280}, {183, 277}, {182, 276}, {179, 273}, {178, 272}, {175, 269}, {163,
257}, {166, 260}, {167, 261}, {170, 264}, {171, 265}, {174, 268}, {164, 258},
{189, 283}, {188, 282}, {181, 275}, {180, 274}, {165, 259}, {172, 266}, {173,
267}, {168, 262}, {185, 279}, {184, 278}, {169, 263}, {176, 270}, {177, 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, 95)(3, 189)(4, 283)(5, 92)(6, 186)(7, 280)(8, 89)(9, 183)(10, 277)(11,
86)(12, 180)(13, 274)(14, 83)(15, 177)(16, 271)(17, 80)(18, 174)(19, 268)(20,
77)(21, 171)(22, 265)(23, 74)(24, 168)(25, 262)(26, 71)(27, 165)(28, 259)(29,
68)(30, 162)(31, 256)(32, 65)(33, 159)(34, 253)(35, 62)(36, 156)(37, 250)(38,
59)(39, 153)(40, 247)(41, 56)(42, 150)(43, 244)(44, 53)(45, 147)(46, 241)(47,
50)(48, 144)(49, 238)(51, 141)(52, 235)(54, 138)(55, 232)(57, 135)(58, 229)(60,
132)(61, 226)(63, 129)(64, 223)(66, 126)(67, 220)(69, 123)(70, 217)(72, 120)(73,
214)(75, 117)(76, 211)(78, 114)(79, 208)(81, 111)(82, 205)(84, 108)(85, 202)(87,
105)(88, 199)(90, 102)(91, 196)(93, 99)(94, 193)(97, 190)(98, 284)(100,
187)(101, 281)(103, 184)(104, 278)(106, 181)(107, 275)(109, 178)(110, 272)(112,
175)(113, 269)(115, 172)(116, 266)(118, 169)(119, 263)(121, 166)(122, 260)(124,
163)(125, 257)(127, 160)(128, 254)(130, 157)(131, 251)(133, 154)(134, 248)(136,
151)(137, 245)(139, 148)(140, 242)(142, 145)(143, 239)(146, 236)(149, 233)(152,
230)(155, 227)(158, 224)(161, 221)(164, 218)(167, 215)(170, 212)(173, 209)(176,
206)(179, 203)(182, 200)(185, 197)(188, 194)(192, 285)(195, 282)(198, 279)(201,
276)(204, 273)(207, 270)(210, 267)(213, 264)(216, 261)(219, 258)(222, 255)(225,
252)(228, 249)(231, 246)(234, 243)(237, 240) (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: (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)
c: (2, 192)(3, 98)(5, 195)(6, 101)(8, 198)(9, 104)(11, 201)(12, 107)(14,
204)(15, 110)(17, 207)(18, 113)(20, 210)(21, 116)(23, 213)(24, 119)(26, 216)(27,
122)(29, 219)(30, 125)(32, 222)(33, 128)(35, 225)(36, 131)(38, 228)(39, 134)(41,
231)(42, 137)(44, 234)(45, 140)(47, 237)(48, 143)(50, 240)(51, 146)(53, 243)(54,
149)(56, 246)(57, 152)(59, 249)(60, 155)(62, 252)(63, 158)(65, 255)(66, 161)(68,
258)(69, 164)(71, 261)(72, 167)(74, 264)(75, 170)(77, 267)(78, 173)(80, 270)(81,
176)(83, 273)(84, 179)(86, 276)(87, 182)(89, 279)(90, 185)(92, 282)(93, 188)(95,
285)(96, 191)(99, 194)(102, 197)(105, 200)(108, 203)(111, 206)(114, 209)(117,
212)(120, 215)(123, 218)(126, 221)(129, 224)(132, 227)(135, 230)(138, 233)(141,
236)(144, 239)(147, 242)(150, 245)(153, 248)(156, 251)(159, 254)(162, 257)(165,
260)(168, 263)(171, 266)(174, 269)(177, 272)(180, 275)(183, 278)(186, 281)(189,
284)
C4[ 285, 2 ]
285
-1 2 192 95 285
-2 1 3 193 96
-3 2 4 194 97
-4 3 5 195 98
-5 99 4 6 196
-6 100 5 7 197
-7 198 101 6 8
-8 199 102 7 9
-9 200 103 8 10
-10 11 201 104 9
-11 12 202 105 10
-12 11 13 203 106
-13 12 14 204 107
-14 13 15 205 108
-15 14 16 206 109
-16 110 15 17 207
-17 111 16 18 208
-18 209 112 17 19
-19 210 113 18 20
-20 211 114 19 21
-21 22 212 115 20
-22 23 213 116 21
-23 22 24 214 117
-24 23 25 215 118
-25 24 26 216 119
-26 25 27 217 120
-27 121 26 28 218
-28 122 27 29 219
-29 220 123 28 30
-30 221 124 29 31
-31 222 125 30 32
-32 33 223 126 31
-33 34 224 127 32
-34 33 35 225 128
-35 34 36 226 129
-36 35 37 227 130
-37 36 38 228 131
-38 132 37 39 229
-39 133 38 40 230
-40 231 134 39 41
-41 232 135 40 42
-42 233 136 41 43
-43 44 234 137 42
-44 45 235 138 43
-45 44 46 236 139
-46 45 47 237 140
-47 46 48 238 141
-48 47 49 239 142
-49 143 48 50 240
-50 144 49 51 241
-51 242 145 50 52
-52 243 146 51 53
-53 244 147 52 54
-54 55 245 148 53
-55 56 246 149 54
-56 55 57 247 150
-57 56 58 248 151
-58 57 59 249 152
-59 58 60 250 153
-60 154 59 61 251
-61 155 60 62 252
-62 253 156 61 63
-63 254 157 62 64
-64 255 158 63 65
-65 66 256 159 64
-66 67 257 160 65
-67 66 68 258 161
-68 67 69 259 162
-69 68 70 260 163
-70 69 71 261 164
-71 165 70 72 262
-72 166 71 73 263
-73 264 167 72 74
-74 265 168 73 75
-75 266 169 74 76
-76 77 267 170 75
-77 78 268 171 76
-78 77 79 269 172
-79 78 80 270 173
-80 79 81 271 174
-81 80 82 272 175
-82 176 81 83 273
-83 177 82 84 274
-84 275 178 83 85
-85 276 179 84 86
-86 277 180 85 87
-87 88 278 181 86
-88 89 279 182 87
-89 88 90 280 183
-90 89 91 281 184
-91 90 92 282 185
-92 91 93 283 186
-93 187 92 94 284
-94 188 93 95 285
-95 1 189 94 96
-96 2 190 95 97
-97 3 191 96 98
-98 99 4 192 97
-99 100 5 193 98
-100 99 101 6 194
-101 100 102 7 195
-102 101 103 8 196
-103 102 104 9 197
-104 198 103 105 10
-105 11 199 104 106
-106 12 200 105 107
-107 13 201 106 108
-108 14 202 107 109
-109 110 15 203 108
-110 111 16 204 109
-111 110 112 17 205
-112 111 113 18 206
-113 112 114 19 207
-114 113 115 20 208
-115 209 114 116 21
-116 22 210 115 117
-117 23 211 116 118
-118 24 212 117 119
-119 25 213 118 120
-120 121 26 214 119
-121 122 27 215 120
-122 121 123 28 216
-123 122 124 29 217
-124 123 125 30 218
-125 124 126 31 219
-126 220 125 127 32
-127 33 221 126 128
-128 34 222 127 129
-129 35 223 128 130
-130 36 224 129 131
-131 132 37 225 130
-132 133 38 226 131
-133 132 134 39 227
-134 133 135 40 228
-135 134 136 41 229
-136 135 137 42 230
-137 231 136 138 43
-138 44 232 137 139
-139 45 233 138 140
-140 46 234 139 141
-141 47 235 140 142
-142 143 48 236 141
-143 144 49 237 142
-144 143 145 50 238
-145 144 146 51 239
-146 145 147 52 240
-147 146 148 53 241
-148 242 147 149 54
-149 55 243 148 150
-150 56 244 149 151
-151 57 245 150 152
-152 58 246 151 153
-153 154 59 247 152
-154 155 60 248 153
-155 154 156 61 249
-156 155 157 62 250
-157 156 158 63 251
-158 157 159 64 252
-159 253 158 160 65
-160 66 254 159 161
-161 67 255 160 162
-162 68 256 161 163
-163 69 257 162 164
-164 165 70 258 163
-165 166 71 259 164
-166 165 167 72 260
-167 166 168 73 261
-168 167 169 74 262
-169 168 170 75 263
-170 264 169 171 76
-171 77 265 170 172
-172 78 266 171 173
-173 79 267 172 174
-174 80 268 173 175
-175 176 81 269 174
-176 177 82 270 175
-177 176 178 83 271
-178 177 179 84 272
-179 178 180 85 273
-180 179 181 86 274
-181 275 180 182 87
-182 88 276 181 183
-183 89 277 182 184
-184 90 278 183 185
-185 91 279 184 186
-186 187 92 280 185
-187 188 93 281 186
-188 187 189 94 282
-189 188 190 95 283
-190 189 191 96 284
-191 190 192 97 285
-192 1 191 193 98
-193 99 2 192 194
-194 100 3 193 195
-195 101 4 194 196
-196 102 5 195 197
-197 198 103 6 196
-198 199 104 7 197
-199 198 200 105 8
-200 199 201 106 9
-201 200 202 107 10
-202 11 201 203 108
-203 12 202 204 109
-204 110 13 203 205
-205 111 14 204 206
-206 112 15 205 207
-207 113 16 206 208
-208 209 114 17 207
-209 210 115 18 208
-210 209 211 116 19
-211 210 212 117 20
-212 211 213 118 21
-213 22 212 214 119
-214 23 213 215 120
-215 121 24 214 216
-216 122 25 215 217
-217 123 26 216 218
-218 124 27 217 219
-219 220 125 28 218
-220 221 126 29 219
-221 220 222 127 30
-222 221 223 128 31
-223 222 224 129 32
-224 33 223 225 130
-225 34 224 226 131
-226 132 35 225 227
-227 133 36 226 228
-228 134 37 227 229
-229 135 38 228 230
-230 231 136 39 229
-231 232 137 40 230
-232 231 233 138 41
-233 232 234 139 42
-234 233 235 140 43
-235 44 234 236 141
-236 45 235 237 142
-237 143 46 236 238
-238 144 47 237 239
-239 145 48 238 240
-240 146 49 239 241
-241 242 147 50 240
-242 243 148 51 241
-243 242 244 149 52
-244 243 245 150 53
-245 244 246 151 54
-246 55 245 247 152
-247 56 246 248 153
-248 154 57 247 249
-249 155 58 248 250
-250 156 59 249 251
-251 157 60 250 252
-252 253 158 61 251
-253 254 159 62 252
-254 253 255 160 63
-255 254 256 161 64
-256 255 257 162 65
-257 66 256 258 163
-258 67 257 259 164
-259 165 68 258 260
-260 166 69 259 261
-261 167 70 260 262
-262 168 71 261 263
-263 264 169 72 262
-264 265 170 73 263
-265 264 266 171 74
-266 265 267 172 75
-267 266 268 173 76
-268 77 267 269 174
-269 78 268 270 175
-270 176 79 269 271
-271 177 80 270 272
-272 178 81 271 273
-273 179 82 272 274
-274 275 180 83 273
-275 276 181 84 274
-276 275 277 182 85
-277 276 278 183 86
-278 277 279 184 87
-279 88 278 280 185
-280 89 279 281 186
-281 187 90 280 282
-282 188 91 281 283
-283 189 92 282 284
-284 190 93 283 285
-285 1 191 94 284
0