Graph forms
for C4 [ 260, 5 ] = {4,4}_16,2
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On this page are computer-accessible forms for the graph C4[ 260, 5 ] =
{4,4}_16,2.
(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}, {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}, {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}, {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, 144}, {129, 145}, {130, 146},
{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}, {84, 214}, {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}, {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,
147}, {77, 223}, {76, 222}, {73, 219}, {72, 218}, {69, 215}, {68, 214}, {65,
211}, {64, 210}, {4, 150}, {5, 151}, {8, 154}, {9, 155}, {12, 158}, {13, 159},
{32, 178}, {33, 179}, {36, 182}, {37, 183}, {40, 186}, {41, 187}, {44, 190},
{45, 191}, {96, 242}, {97, 243}, {100, 246}, {101, 247}, {104, 250}, {105, 251},
{108, 254}, {109, 255}, {2, 148}, {75, 221}, {74, 220}, {67, 213}, {66, 212},
{3, 149}, {10, 156}, {11, 157}, {34, 180}, {35, 181}, {42, 188}, {43, 189}, {98,
244}, {99, 245}, {106, 252}, {107, 253}, {6, 152}, {79, 209}, {78, 208}, {71,
217}, {70, 216}, {7, 153}, {14, 144}, {15, 145}, {38, 184}, {39, 185}, {46,
176}, {47, 177}, {102, 248}, {103, 249}, {110, 240}, {111, 241}, {14, 160}, {79,
225}, {78, 224}, {15, 161}, {30, 176}, {31, 177}, {94, 240}, {95, 241}, {16,
162}, {81, 227}, {80, 226}, {17, 163}, {20, 166}, {21, 167}, {24, 170}, {25,
171}, {28, 174}, {29, 175}, {84, 230}, {85, 231}, {88, 234}, {89, 235}, {92,
238}, {93, 239}, {18, 164}, {83, 229}, {82, 228}, {19, 165}, {26, 172}, {27,
173}, {90, 236}, {91, 237}, {22, 168}, {23, 169}, {30, 160}, {31, 161}, {86,
232}, {87, 233}, {94, 224}, {95, 225}, {46, 192}, {63, 209}, {62, 208}, {47,
193}, {115, 131}, {116, 132}, {117, 133}, {118, 134}, {119, 135}, {120, 136},
{121, 137}, {122, 138}, {123, 139}, {124, 140}, {125, 141}, {126, 142}, {127,
143}, {48, 194}, {61, 207}, {60, 206}, {57, 203}, {56, 202}, {53, 199}, {52,
198}, {49, 195}, {50, 196}, {59, 205}, {58, 204}, {51, 197}, {54, 200}, {63,
193}, {62, 192}, {55, 201}, {127, 128}, {110, 256}, {111, 257}, {112, 258},
{113, 259}, {114, 260}, {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: (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, 147)(132,
146)(133, 145)(134, 144)(135, 143)(136, 142)(137, 141)(138, 140)(148, 260)(149,
259)(150, 258)(151, 257)(152, 256)(153, 255)(154, 254)(155, 253)(156, 252)(157,
251)(158, 250)(159, 249)(160, 248)(161, 247)(162, 246)(163, 245)(164, 244)(165,
243)(166, 242)(167, 241)(168, 240)(169, 239)(170, 238)(171, 237)(172, 236)(173,
235)(174, 234)(175, 233)(176, 232)(177, 231)(178, 230)(179, 229)(180, 228)(181,
227)(182, 226)(183, 225)(184, 224)(185, 223)(186, 222)(187, 221)(188, 220)(189,
219)(190, 218)(191, 217)(192, 216)(193, 215)(194, 214)(195, 213)(196, 212)(197,
211)(198, 210)(199, 209)(200, 208)(201, 207)(202, 206)(203, 205) (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, 131, 130, 147)(3, 115, 129, 17)(4, 245, 128, 163)(5, 99, 127, 33)(6, 229,
126, 179)(7, 83, 125, 49)(8, 213, 124, 195)(9, 67, 123, 65)(10, 197, 122,
211)(11, 51, 121, 81)(12, 181, 120, 227)(13, 35, 119, 97)(14, 165, 118, 243)(15,
19, 117, 113)(16, 149, 116, 259)(18, 133, 114, 145)(20, 247, 112, 161)(21, 101,
111, 31)(22, 231, 110, 177)(23, 85, 109, 47)(24, 215, 108, 193)(25, 69, 107,
63)(26, 199, 106, 209)(27, 53, 105, 79)(28, 183, 104, 225)(29, 37, 103, 95)(30,
167, 102, 241)(32, 151, 100, 257)(34, 135, 98, 143)(36, 249, 96, 159)(38, 233,
94, 175)(39, 87, 93, 45)(40, 217, 92, 191)(41, 71, 91, 61)(42, 201, 90, 207)(43,
55, 89, 77)(44, 185, 88, 223)(46, 169, 86, 239)(48, 153, 84, 255)(50, 137, 82,
141)(52, 251, 80, 157)(54, 235, 78, 173)(56, 219, 76, 189)(57, 73, 75, 59)(58,
203, 74, 205)(60, 187, 72, 221)(62, 171, 70, 237)(64, 155, 68, 253)(66,
139)(132, 260, 146, 148)(134, 244, 144, 164)(136, 228, 142, 180)(138, 212, 140,
196)(150, 246, 258, 162)(152, 230, 256, 178)(154, 214, 254, 194)(156, 198, 252,
210)(158, 182, 250, 226)(160, 166, 248, 242)(168, 232, 240, 176)(170, 216, 238,
192)(172, 200, 236, 208)(174, 184, 234, 224)(186, 218, 222, 190)(188, 202, 220,
206)
c: (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)
C4[ 260, 5 ]
260
-1 2 147 130 131
-2 132 1 3 148
-3 133 2 4 149
-4 134 3 5 150
-5 135 4 6 151
-6 136 5 7 152
-7 137 6 8 153
-8 154 138 7 9
-9 155 139 8 10
-10 11 156 140 9
-11 12 157 141 10
-12 11 13 158 142
-13 143 12 14 159
-14 144 13 15 160
-15 145 14 16 161
-16 146 15 17 162
-17 147 16 18 163
-18 148 17 19 164
-19 165 149 18 20
-20 166 150 19 21
-21 22 167 151 20
-22 23 168 152 21
-23 22 24 169 153
-24 154 23 25 170
-25 155 24 26 171
-26 156 25 27 172
-27 157 26 28 173
-28 158 27 29 174
-29 159 28 30 175
-30 176 160 29 31
-31 177 161 30 32
-32 33 178 162 31
-33 34 179 163 32
-34 33 35 180 164
-35 165 34 36 181
-36 166 35 37 182
-37 167 36 38 183
-38 168 37 39 184
-39 169 38 40 185
-40 170 39 41 186
-41 187 171 40 42
-42 188 172 41 43
-43 44 189 173 42
-44 45 190 174 43
-45 44 46 191 175
-46 176 45 47 192
-47 177 46 48 193
-48 178 47 49 194
-49 179 48 50 195
-50 180 49 51 196
-51 181 50 52 197
-52 198 182 51 53
-53 199 183 52 54
-54 55 200 184 53
-55 56 201 185 54
-56 55 57 202 186
-57 187 56 58 203
-58 188 57 59 204
-59 189 58 60 205
-60 190 59 61 206
-61 191 60 62 207
-62 192 61 63 208
-63 209 193 62 64
-64 210 194 63 65
-65 66 211 195 64
-66 67 212 196 65
-67 66 68 213 197
-68 198 67 69 214
-69 199 68 70 215
-70 200 69 71 216
-71 201 70 72 217
-72 202 71 73 218
-73 203 72 74 219
-74 220 204 73 75
-75 221 205 74 76
-76 77 222 206 75
-77 78 223 207 76
-78 77 79 224 208
-79 209 78 80 225
-80 210 79 81 226
-81 211 80 82 227
-82 212 81 83 228
-83 213 82 84 229
-84 214 83 85 230
-85 231 215 84 86
-86 232 216 85 87
-87 88 233 217 86
-88 89 234 218 87
-89 88 90 235 219
-90 220 89 91 236
-91 221 90 92 237
-92 222 91 93 238
-93 223 92 94 239
-94 224 93 95 240
-95 225 94 96 241
-96 242 226 95 97
-97 243 227 96 98
-98 99 244 228 97
-99 100 245 229 98
-100 99 101 246 230
-101 231 100 102 247
-102 232 101 103 248
-103 233 102 104 249
-104 234 103 105 250
-105 235 104 106 251
-106 236 105 107 252
-107 253 237 106 108
-108 254 238 107 109
-109 110 255 239 108
-110 111 256 240 109
-111 110 112 257 241
-112 242 111 113 258
-113 243 112 114 259
-114 244 113 115 260
-115 245 114 116 131
-116 132 246 115 117
-117 133 247 116 118
-118 134 248 117 119
-119 135 249 118 120
-120 121 136 250 119
-121 122 137 251 120
-122 121 123 138 252
-123 253 122 124 139
-124 254 123 125 140
-125 255 124 126 141
-126 256 125 127 142
-127 143 257 126 128
-128 144 258 127 129
-129 145 259 128 130
-130 1 146 260 129
-131 132 1 115 260
-132 133 2 116 131
-133 132 134 3 117
-134 133 135 4 118
-135 134 136 5 119
-136 135 137 6 120
-137 121 136 138 7
-138 122 137 139 8
-139 123 138 140 9
-140 124 139 141 10
-141 11 125 140 142
-142 143 12 126 141
-143 144 13 127 142
-144 143 145 14 128
-145 144 146 15 129
-146 145 147 16 130
-147 1 146 148 17
-148 2 147 149 18
-149 3 148 150 19
-150 4 149 151 20
-151 5 150 152 21
-152 22 6 151 153
-153 154 23 7 152
-154 155 24 8 153
-155 154 156 25 9
-156 155 157 26 10
-157 11 156 158 27
-158 12 157 159 28
-159 13 158 160 29
-160 14 159 161 30
-161 15 160 162 31
-162 16 161 163 32
-163 33 17 162 164
-164 165 34 18 163
-165 166 35 19 164
-166 165 167 36 20
-167 166 168 37 21
-168 22 167 169 38
-169 23 168 170 39
-170 24 169 171 40
-171 25 170 172 41
-172 26 171 173 42
-173 27 172 174 43
-174 44 28 173 175
-175 176 45 29 174
-176 177 46 30 175
-177 176 178 47 31
-178 177 179 48 32
-179 33 178 180 49
-180 34 179 181 50
-181 35 180 182 51
-182 36 181 183 52
-183 37 182 184 53
-184 38 183 185 54
-185 55 39 184 186
-186 187 56 40 185
-187 188 57 41 186
-188 187 189 58 42
-189 188 190 59 43
-190 44 189 191 60
-191 45 190 192 61
-192 46 191 193 62
-193 47 192 194 63
-194 48 193 195 64
-195 49 194 196 65
-196 66 50 195 197
-197 198 67 51 196
-198 199 68 52 197
-199 198 200 69 53
-200 199 201 70 54
-201 55 200 202 71
-202 56 201 203 72
-203 57 202 204 73
-204 58 203 205 74
-205 59 204 206 75
-206 60 205 207 76
-207 77 61 206 208
-208 209 78 62 207
-209 210 79 63 208
-210 209 211 80 64
-211 210 212 81 65
-212 66 211 213 82
-213 67 212 214 83
-214 68 213 215 84
-215 69 214 216 85
-216 70 215 217 86
-217 71 216 218 87
-218 88 72 217 219
-219 220 89 73 218
-220 221 90 74 219
-221 220 222 91 75
-222 221 223 92 76
-223 77 222 224 93
-224 78 223 225 94
-225 79 224 226 95
-226 80 225 227 96
-227 81 226 228 97
-228 82 227 229 98
-229 99 83 228 230
-230 231 100 84 229
-231 232 101 85 230
-232 231 233 102 86
-233 232 234 103 87
-234 88 233 235 104
-235 89 234 236 105
-236 90 235 237 106
-237 91 236 238 107
-238 92 237 239 108
-239 93 238 240 109
-240 110 94 239 241
-241 242 111 95 240
-242 243 112 96 241
-243 242 244 113 97
-244 243 245 114 98
-245 99 244 246 115
-246 100 245 247 116
-247 101 246 248 117
-248 102 247 249 118
-249 103 248 250 119
-250 104 249 251 120
-251 121 105 250 252
-252 253 122 106 251
-253 254 123 107 252
-254 253 255 124 108
-255 254 256 125 109
-256 110 255 257 126
-257 111 256 258 127
-258 112 257 259 128
-259 113 258 260 129
-260 114 259 130 131
0