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