Graph forms
for C4 [ 272, 22 ] = KE_68(1,27,2,43,1)
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On this page are computer-accessible forms for the graph C4[ 272, 22 ] =
KE_68(1,27,2,43,1).
(I) Following is a form readable by MAGMA:
g:=Graph<272|{ {2, 3}, {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}, {66, 67}, {64, 65},
{62, 63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {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}, {206, 207}, {208, 209},
{210, 211}, {212, 213}, {136, 138}, {1, 2}, {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}, {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}, {205, 206},
{209, 210}, {3, 4}, {267, 268}, {259, 260}, {251, 252}, {243, 244}, {235, 236},
{227, 228}, {219, 220}, {67, 68}, {59, 60}, {11, 12}, {19, 20}, {27, 28}, {35,
36}, {43, 44}, {51, 52}, {211, 212}, {135, 137}, {7, 8}, {263, 264}, {247, 248},
{231, 232}, {215, 216}, {55, 56}, {23, 24}, {39, 40}, {15, 16}, {271, 272},
{239, 240}, {47, 48}, {207, 208}, {64, 105}, {68, 109}, {66, 107}, {65, 106},
{67, 108}, {31, 32}, {223, 224}, {128, 196}, {129, 197}, {130, 198}, {131, 199},
{136, 204}, {137, 205}, {138, 206}, {139, 207}, {144, 212}, {145, 213}, {146,
214}, {147, 215}, {152, 220}, {153, 221}, {154, 222}, {155, 223}, {160, 228},
{161, 229}, {162, 230}, {163, 231}, {168, 236}, {169, 237}, {170, 238}, {171,
239}, {176, 244}, {177, 245}, {178, 246}, {179, 247}, {184, 252}, {185, 253},
{186, 254}, {187, 255}, {1, 68}, {128, 198}, {129, 199}, {130, 200}, {131, 201},
{134, 204}, {132, 200}, {133, 201}, {134, 202}, {135, 203}, {148, 216}, {149,
217}, {150, 218}, {151, 219}, {164, 232}, {165, 233}, {166, 234}, {167, 235},
{180, 248}, {181, 249}, {182, 250}, {183, 251}, {132, 202}, {133, 203}, {31,
72}, {63, 104}, {55, 96}, {28, 69}, {62, 103}, {60, 101}, {58, 99}, {56, 97},
{30, 71}, {29, 70}, {61, 102}, {57, 98}, {140, 208}, {141, 209}, {142, 210},
{143, 211}, {172, 240}, {173, 241}, {174, 242}, {175, 243}, {59, 100}, {32, 73},
{54, 95}, {34, 75}, {36, 77}, {38, 79}, {48, 89}, {50, 91}, {52, 93}, {33, 74},
{37, 78}, {49, 90}, {53, 94}, {2, 111}, {16, 125}, {18, 127}, {1, 110}, {17,
126}, {35, 76}, {51, 92}, {128, 239}, {129, 240}, {131, 242}, {133, 244}, {135,
246}, {3, 112}, {7, 116}, {11, 120}, {15, 124}, {130, 241}, {134, 245}, {4,
113}, {6, 115}, {12, 121}, {14, 123}, {5, 114}, {13, 122}, {39, 80}, {47, 88},
{132, 243}, {40, 81}, {42, 83}, {44, 85}, {46, 87}, {41, 82}, {45, 86}, {156,
224}, {157, 225}, {158, 226}, {159, 227}, {8, 117}, {10, 119}, {9, 118}, {63,
64}, {43, 84}, {136, 247}, {1, 137}, {68, 204}, {67, 203}, {66, 202}, {65, 201},
{64, 200}, {55, 191}, {54, 190}, {53, 189}, {2, 138}, {3, 139}, {4, 140}, {5,
141}, {6, 142}, {7, 143}, {16, 152}, {17, 153}, {18, 154}, {19, 155}, {20, 156},
{21, 157}, {22, 158}, {23, 159}, {32, 168}, {33, 169}, {34, 170}, {35, 171},
{36, 172}, {37, 173}, {38, 174}, {39, 175}, {48, 184}, {49, 185}, {50, 186},
{51, 187}, {52, 188}, {95, 206}, {113, 224}, {115, 226}, {117, 228}, {119, 230},
{121, 232}, {123, 234}, {125, 236}, {127, 238}, {19, 128}, {94, 205}, {23, 132},
{27, 136}, {114, 225}, {118, 229}, {122, 233}, {126, 237}, {20, 129}, {22, 131},
{21, 130}, {116, 227}, {124, 235}, {8, 144}, {9, 145}, {10, 146}, {11, 147},
{12, 148}, {13, 149}, {14, 150}, {15, 151}, {40, 176}, {41, 177}, {42, 178},
{43, 179}, {44, 180}, {45, 181}, {46, 182}, {47, 183}, {24, 133}, {26, 135},
{25, 134}, {120, 231}, {96, 207}, {112, 223}, {97, 208}, {99, 210}, {101, 212},
{103, 214}, {105, 216}, {107, 218}, {109, 220}, {111, 222}, {72, 251}, {76,
255}, {98, 209}, {102, 213}, {106, 217}, {110, 221}, {73, 252}, {75, 254}, {74,
253}, {100, 211}, {108, 219}, {24, 160}, {25, 161}, {26, 162}, {27, 163}, {28,
164}, {29, 165}, {30, 166}, {31, 167}, {122, 192}, {123, 193}, {126, 196}, {127,
197}, {124, 192}, {125, 193}, {126, 194}, {127, 195}, {69, 248}, {71, 250},
{124, 194}, {125, 195}, {70, 249}, {104, 215}, {72, 140}, {97, 165}, {96, 164},
{91, 159}, {90, 158}, {89, 157}, {88, 156}, {83, 151}, {82, 150}, {81, 149},
{80, 148}, {75, 143}, {74, 142}, {73, 141}, {98, 166}, {99, 167}, {104, 172},
{105, 173}, {106, 174}, {107, 175}, {112, 180}, {113, 181}, {114, 182}, {115,
183}, {120, 188}, {121, 189}, {122, 190}, {123, 191}, {72, 142}, {96, 166}, {89,
159}, {88, 158}, {81, 151}, {80, 150}, {73, 143}, {97, 167}, {104, 174}, {105,
175}, {112, 182}, {113, 183}, {120, 190}, {121, 191}, {70, 140}, {87, 157}, {86,
156}, {83, 153}, {82, 152}, {71, 141}, {98, 168}, {99, 169}, {102, 172}, {103,
173}, {114, 184}, {115, 185}, {118, 188}, {119, 189}, {69, 137}, {87, 155}, {86,
154}, {85, 153}, {84, 152}, {71, 139}, {70, 138}, {100, 168}, {101, 169}, {102,
170}, {103, 171}, {116, 184}, {117, 185}, {118, 186}, {119, 187}, {69, 139},
{85, 155}, {84, 154}, {100, 170}, {101, 171}, {116, 186}, {117, 187}, {74, 144},
{79, 149}, {78, 148}, {75, 145}, {106, 176}, {107, 177}, {110, 180}, {111, 181},
{76, 144}, {79, 147}, {78, 146}, {77, 145}, {108, 176}, {109, 177}, {110, 178},
{111, 179}, {76, 146}, {77, 147}, {108, 178}, {109, 179}, {56, 192}, {63, 199},
{62, 198}, {61, 197}, {60, 196}, {59, 195}, {58, 194}, {57, 193}, {90, 160},
{95, 165}, {94, 164}, {91, 161}, {92, 160}, {95, 163}, {94, 162}, {93, 161},
{92, 162}, {93, 163}, {77, 256}, {93, 272}, {79, 258}, {78, 257}, {80, 259},
{92, 271}, {88, 267}, {84, 263}, {81, 260}, {91, 270}, {89, 268}, {83, 262},
{82, 261}, {90, 269}, {85, 264}, {87, 266}, {86, 265}, {188, 256}, {189, 257},
{190, 258}, {191, 259}, {192, 260}, {193, 261}, {194, 262}, {195, 263}, {200,
268}, {201, 269}, {202, 270}, {203, 271}, {196, 264}, {197, 265}, {198, 266},
{199, 267}, {204, 272}, {205, 272}, {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) (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, 68)(3, 67)(4, 66)(5, 65)(6, 64)(7, 63)(8, 62)(9, 61)(10, 60)(11, 59)(12,
58)(13, 57)(14, 56)(15, 55)(16, 54)(17, 53)(18, 52)(19, 51)(20, 50)(21, 49)(22,
48)(23, 47)(24, 46)(25, 45)(26, 44)(27, 43)(28, 42)(29, 41)(30, 40)(31, 39)(32,
38)(33, 37)(34, 36)(69, 178)(70, 177)(71, 176)(72, 175)(73, 174)(74, 173)(75,
172)(76, 171)(77, 170)(78, 169)(79, 168)(80, 167)(81, 166)(82, 165)(83, 164)(84,
163)(85, 162)(86, 161)(87, 160)(88, 159)(89, 158)(90, 157)(91, 156)(92, 155)(93,
154)(94, 153)(95, 152)(96, 151)(97, 150)(98, 149)(99, 148)(100, 147)(101,
146)(102, 145)(103, 144)(104, 143)(105, 142)(106, 141)(107, 140)(108, 139)(109,
138)(110, 137)(111, 204)(112, 203)(113, 202)(114, 201)(115, 200)(116, 199)(117,
198)(118, 197)(119, 196)(120, 195)(121, 194)(122, 193)(123, 192)(124, 191)(125,
190)(126, 189)(127, 188)(128, 187)(129, 186)(130, 185)(131, 184)(132, 183)(133,
182)(134, 181)(135, 180)(136, 179)(205, 221)(206, 220)(207, 219)(208, 218)(209,
217)(210, 216)(211, 215)(212, 214)(222, 272)(223, 271)(224, 270)(225, 269)(226,
268)(227, 267)(228, 266)(229, 265)(230, 264)(231, 263)(232, 262)(233, 261)(234,
260)(235, 259)(236, 258)(237, 257)(238, 256)(239, 255)(240, 254)(241, 253)(242,
252)(243, 251)(244, 250)(245, 249)(246, 248)
c: (2, 110, 68, 137)(3, 221, 67, 205)(4, 153, 66, 94)(5, 17, 65, 53)(6, 126, 64,
189)(7, 237, 63, 257)(8, 169, 62, 78)(9, 33, 61, 37)(10, 74, 60, 173)(11, 253,
59, 241)(12, 185, 58, 130)(13, 49, 57, 21)(14, 90, 56, 157)(15, 269, 55,
225)(16, 201, 54, 114)(18, 106, 52, 141)(19, 217, 51, 209)(20, 149, 50, 98)(22,
122, 48, 193)(23, 233, 47, 261)(24, 165, 46, 82)(25, 29, 45, 41)(26, 70, 44,
177)(27, 249, 43, 245)(28, 181, 42, 134)(30, 86, 40, 161)(31, 265, 39, 229)(32,
197, 38, 118)(34, 102, 36, 145)(35, 213)(69, 111, 178, 204)(71, 154, 176,
93)(72, 264, 175, 230)(73, 127, 174, 188)(75, 170, 172, 77)(76, 212, 171,
214)(79, 186, 168, 129)(80, 228, 167, 266)(81, 91, 166, 156)(83, 202, 164,
113)(84, 244, 163, 250)(85, 107, 162, 140)(87, 150, 160, 97)(88, 260, 159,
234)(89, 123, 158, 192)(92, 208, 155, 218)(95, 182, 152, 133)(96, 224, 151,
270)(99, 198, 148, 117)(100, 240, 147, 254)(101, 103, 146, 144)(104, 256, 143,
238)(105, 119, 142, 196)(108, 272, 139, 222)(109, 135, 138, 180)(112, 220, 203,
206)(115, 194, 200, 121)(116, 236, 199, 258)(120, 252, 195, 242)(124, 268, 191,
226)(125, 131, 190, 184)(128, 216, 187, 210)(132, 232, 183, 262)(136, 248, 179,
246)(207, 223, 219, 271)(211, 239, 215, 255)(227, 235, 267, 259)(231, 251, 263,
243)
C4[ 272, 22 ]
272
-1 110 2 68 137
-2 1 111 3 138
-3 2 112 4 139
-4 3 113 5 140
-5 4 114 6 141
-6 5 115 7 142
-7 143 6 116 8
-8 144 7 117 9
-9 145 8 118 10
-10 11 146 9 119
-11 12 147 10 120
-12 11 121 13 148
-13 12 122 14 149
-14 13 123 15 150
-15 14 124 16 151
-16 15 125 17 152
-17 16 126 18 153
-18 154 17 127 19
-19 155 18 128 20
-20 156 19 129 21
-21 22 157 20 130
-22 23 158 21 131
-23 22 132 24 159
-24 23 133 25 160
-25 24 134 26 161
-26 25 135 27 162
-27 26 136 28 163
-28 69 27 29 164
-29 165 70 28 30
-30 166 71 29 31
-31 167 72 30 32
-32 33 168 73 31
-33 34 169 74 32
-34 33 35 170 75
-35 34 36 171 76
-36 77 35 37 172
-37 78 36 38 173
-38 79 37 39 174
-39 80 38 40 175
-40 176 81 39 41
-41 177 82 40 42
-42 178 83 41 43
-43 44 179 84 42
-44 45 180 85 43
-45 44 46 181 86
-46 45 47 182 87
-47 88 46 48 183
-48 89 47 49 184
-49 90 48 50 185
-50 91 49 51 186
-51 187 92 50 52
-52 188 93 51 53
-53 189 94 52 54
-54 55 190 95 53
-55 56 191 96 54
-56 55 57 192 97
-57 56 58 193 98
-58 99 57 59 194
-59 100 58 60 195
-60 101 59 61 196
-61 102 60 62 197
-62 198 103 61 63
-63 199 104 62 64
-64 200 105 63 65
-65 66 201 106 64
-66 67 202 107 65
-67 66 68 203 108
-68 1 67 204 109
-69 137 28 248 139
-70 138 29 249 140
-71 139 30 250 141
-72 140 31 251 142
-73 143 141 32 252
-74 33 253 144 142
-75 143 34 254 145
-76 144 35 255 146
-77 145 36 256 147
-78 146 37 257 148
-79 147 38 258 149
-80 148 39 259 150
-81 149 40 260 151
-82 150 41 261 152
-83 151 42 262 153
-84 154 152 43 263
-85 44 264 155 153
-86 154 45 265 156
-87 155 46 266 157
-88 156 47 267 158
-89 157 48 268 159
-90 158 49 269 160
-91 159 50 270 161
-92 160 51 271 162
-93 161 52 272 163
-94 205 162 53 164
-95 165 206 163 54
-96 55 166 207 164
-97 165 56 167 208
-98 209 166 57 168
-99 210 167 58 169
-100 211 168 59 170
-101 212 169 60 171
-102 213 170 61 172
-103 214 171 62 173
-104 215 172 63 174
-105 216 173 64 175
-106 176 217 174 65
-107 66 177 218 175
-108 176 67 178 219
-109 220 177 68 179
-110 1 221 178 180
-111 2 222 179 181
-112 3 223 180 182
-113 4 224 181 183
-114 5 225 182 184
-115 6 226 183 185
-116 7 227 184 186
-117 187 8 228 185
-118 188 9 229 186
-119 187 189 10 230
-120 11 231 188 190
-121 12 232 189 191
-122 13 233 190 192
-123 14 234 191 193
-124 15 235 192 194
-125 16 236 193 195
-126 17 237 194 196
-127 18 238 195 197
-128 198 19 239 196
-129 199 20 240 197
-130 198 200 21 241
-131 22 242 199 201
-132 23 243 200 202
-133 24 244 201 203
-134 25 245 202 204
-135 26 246 137 203
-136 27 247 138 204
-137 1 69 135 205
-138 2 70 136 206
-139 3 69 71 207
-140 4 70 72 208
-141 209 5 71 73
-142 210 6 72 74
-143 211 7 73 75
-144 212 8 74 76
-145 77 213 9 75
-146 78 214 10 76
-147 11 77 79 215
-148 12 78 80 216
-149 13 79 81 217
-150 14 80 82 218
-151 15 81 83 219
-152 220 16 82 84
-153 221 17 83 85
-154 222 18 84 86
-155 223 19 85 87
-156 88 224 20 86
-157 89 225 21 87
-158 22 88 90 226
-159 23 89 91 227
-160 24 90 92 228
-161 25 91 93 229
-162 26 92 94 230
-163 231 27 93 95
-164 232 28 94 96
-165 233 29 95 97
-166 234 30 96 98
-167 99 235 31 97
-168 100 236 32 98
-169 33 99 101 237
-170 34 100 102 238
-171 35 101 103 239
-172 36 102 104 240
-173 37 103 105 241
-174 242 38 104 106
-175 243 39 105 107
-176 244 40 106 108
-177 245 41 107 109
-178 110 246 42 108
-179 111 247 43 109
-180 44 110 112 248
-181 45 111 113 249
-182 46 112 114 250
-183 47 113 115 251
-184 48 114 116 252
-185 253 49 115 117
-186 254 50 116 118
-187 255 51 117 119
-188 256 52 118 120
-189 121 257 53 119
-190 122 258 54 120
-191 55 121 123 259
-192 56 122 124 260
-193 57 123 125 261
-194 58 124 126 262
-195 59 125 127 263
-196 264 60 126 128
-197 265 61 127 129
-198 266 62 128 130
-199 267 63 129 131
-200 132 268 64 130
-201 133 269 65 131
-202 66 132 134 270
-203 67 133 135 271
-204 68 134 136 272
-205 137 94 206 272
-206 138 95 205 207
-207 139 96 206 208
-208 209 140 97 207
-209 210 141 98 208
-210 99 209 211 142
-211 143 100 210 212
-212 144 101 211 213
-213 145 102 212 214
-214 146 103 213 215
-215 147 104 214 216
-216 148 105 215 217
-217 149 106 216 218
-218 150 107 217 219
-219 220 151 108 218
-220 221 152 109 219
-221 110 220 222 153
-222 154 111 221 223
-223 155 112 222 224
-224 156 113 223 225
-225 157 114 224 226
-226 158 115 225 227
-227 159 116 226 228
-228 160 117 227 229
-229 161 118 228 230
-230 231 162 119 229
-231 232 163 120 230
-232 121 231 233 164
-233 165 122 232 234
-234 166 123 233 235
-235 167 124 234 236
-236 168 125 235 237
-237 169 126 236 238
-238 170 127 237 239
-239 171 128 238 240
-240 172 129 239 241
-241 242 173 130 240
-242 243 174 131 241
-243 132 242 244 175
-244 176 133 243 245
-245 177 134 244 246
-246 178 135 245 247
-247 179 136 246 248
-248 69 180 247 249
-249 70 181 248 250
-250 71 182 249 251
-251 72 183 250 252
-252 253 73 184 251
-253 254 74 185 252
-254 253 255 75 186
-255 187 254 256 76
-256 77 188 255 257
-257 78 189 256 258
-258 79 190 257 259
-259 80 191 258 260
-260 81 192 259 261
-261 82 193 260 262
-262 83 194 261 263
-263 264 84 195 262
-264 265 85 196 263
-265 264 266 86 197
-266 198 265 267 87
-267 88 199 266 268
-268 89 200 267 269
-269 90 201 268 270
-270 91 202 269 271
-271 92 203 270 272
-272 93 204 205 271
0