Graph forms
for C4 [ 259, 1 ] = C_259(1,36)
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On this page are computer-accessible forms for the graph C4[ 259, 1 ] =
C_259(1,36).
(I) Following is a form readable by MAGMA:
g:=Graph<259|{ {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}, {110,
111}, {108, 109}, {106, 107}, {104, 105}, {102, 103}, {100, 101}, {98, 99}, {96,
97}, {94, 95}, {92, 93}, {90, 91}, {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}, {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}, {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}, {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}, {109,
110}, {105, 106}, {101, 102}, {97, 98}, {93, 94}, {89, 90}, {85, 86}, {81, 82},
{77, 78}, {73, 74}, {69, 70}, {65, 66}, {61, 62}, {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}, {57, 58}, {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},
{181, 182}, {185, 186}, {189, 190}, {193, 194}, {197, 198}, {3, 4}, {251, 252},
{243, 244}, {235, 236}, {227, 228}, {219, 220}, {211, 212}, {203, 204}, {107,
108}, {99, 100}, {91, 92}, {83, 84}, {75, 76}, {67, 68}, {59, 60}, {11, 12},
{19, 20}, {27, 28}, {35, 36}, {43, 44}, {51, 52}, {115, 116}, {123, 124}, {131,
132}, {139, 140}, {147, 148}, {155, 156}, {163, 164}, {171, 172}, {179, 180},
{187, 188}, {195, 196}, {7, 8}, {247, 248}, {231, 232}, {215, 216}, {103, 104},
{87, 88}, {71, 72}, {23, 24}, {39, 40}, {55, 56}, {119, 120}, {135, 136}, {151,
152}, {167, 168}, {183, 184}, {199, 200}, {15, 16}, {239, 240}, {207, 208},
{111, 112}, {79, 80}, {47, 48}, {143, 144}, {175, 176}, {1, 37}, {219, 255},
{218, 254}, {217, 253}, {216, 252}, {211, 247}, {210, 246}, {209, 245}, {208,
244}, {203, 239}, {202, 238}, {201, 237}, {200, 236}, {91, 127}, {90, 126}, {89,
125}, {88, 124}, {83, 119}, {82, 118}, {81, 117}, {80, 116}, {75, 111}, {74,
110}, {73, 109}, {72, 108}, {67, 103}, {66, 102}, {65, 101}, {64, 100}, {2, 38},
{3, 39}, {8, 44}, {9, 45}, {10, 46}, {11, 47}, {16, 52}, {17, 53}, {18, 54},
{19, 55}, {24, 60}, {25, 61}, {26, 62}, {27, 63}, {128, 164}, {129, 165}, {130,
166}, {131, 167}, {136, 172}, {137, 173}, {138, 174}, {139, 175}, {144, 180},
{145, 181}, {146, 182}, {147, 183}, {152, 188}, {153, 189}, {154, 190}, {155,
191}, {192, 228}, {193, 229}, {194, 230}, {195, 231}, {4, 40}, {215, 251}, {214,
250}, {213, 249}, {212, 248}, {87, 123}, {86, 122}, {85, 121}, {84, 120}, {71,
107}, {70, 106}, {69, 105}, {68, 104}, {5, 41}, {6, 42}, {7, 43}, {20, 56}, {21,
57}, {22, 58}, {23, 59}, {132, 168}, {133, 169}, {134, 170}, {135, 171}, {148,
184}, {149, 185}, {150, 186}, {151, 187}, {196, 232}, {197, 233}, {198, 234},
{199, 235}, {12, 48}, {207, 243}, {206, 242}, {205, 241}, {204, 240}, {79, 115},
{78, 114}, {77, 113}, {76, 112}, {13, 49}, {14, 50}, {15, 51}, {140, 176}, {141,
177}, {142, 178}, {143, 179}, {31, 32}, {223, 224}, {95, 96}, {159, 160}, {28,
64}, {63, 99}, {62, 98}, {61, 97}, {60, 96}, {29, 65}, {30, 66}, {31, 67}, {156,
192}, {157, 193}, {158, 194}, {159, 195}, {188, 224}, {189, 225}, {190, 226},
{191, 227}, {32, 68}, {59, 95}, {33, 69}, {34, 70}, {35, 71}, {40, 76}, {41,
77}, {42, 78}, {43, 79}, {48, 84}, {49, 85}, {50, 86}, {51, 87}, {56, 92}, {57,
93}, {58, 94}, {160, 196}, {161, 197}, {162, 198}, {163, 199}, {168, 204}, {169,
205}, {170, 206}, {171, 207}, {176, 212}, {177, 213}, {178, 214}, {179, 215},
{184, 220}, {185, 221}, {186, 222}, {187, 223}, {36, 72}, {37, 73}, {38, 74},
{39, 75}, {52, 88}, {53, 89}, {54, 90}, {55, 91}, {164, 200}, {165, 201}, {166,
202}, {167, 203}, {180, 216}, {181, 217}, {182, 218}, {183, 219}, {44, 80}, {45,
81}, {46, 82}, {47, 83}, {172, 208}, {173, 209}, {174, 210}, {175, 211}, {63,
64}, {191, 192}, {92, 128}, {95, 131}, {94, 130}, {93, 129}, {124, 160}, {125,
161}, {126, 162}, {127, 163}, {32, 255}, {1, 224}, {3, 226}, {5, 228}, {7, 230},
{9, 232}, {11, 234}, {13, 236}, {15, 238}, {17, 240}, {19, 242}, {21, 244}, {23,
246}, {25, 248}, {27, 250}, {29, 252}, {31, 254}, {2, 225}, {6, 229}, {10, 233},
{14, 237}, {18, 241}, {22, 245}, {26, 249}, {30, 253}, {96, 132}, {107, 143},
{106, 142}, {105, 141}, {104, 140}, {99, 135}, {98, 134}, {97, 133}, {112, 148},
{113, 149}, {114, 150}, {115, 151}, {120, 156}, {121, 157}, {122, 158}, {123,
159}, {4, 227}, {12, 235}, {20, 243}, {28, 251}, {100, 136}, {103, 139}, {102,
138}, {101, 137}, {116, 152}, {117, 153}, {118, 154}, {119, 155}, {8, 231}, {24,
247}, {108, 144}, {110, 146}, {109, 145}, {111, 147}, {16, 239}, {127, 128}, {1,
259}, {33, 256}, {35, 258}, {34, 257}, {36, 259}, {220, 256}, {223, 259}, {222,
258}, {221, 257}, {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, 37)(3, 73)(4, 109)(5, 145)(6, 181)(7, 217)(8, 253)(9, 30)(10, 66)(11,
102)(12, 138)(13, 174)(14, 210)(15, 246)(16, 23)(17, 59)(18, 95)(19, 131)(20,
167)(21, 203)(22, 239)(24, 52)(25, 88)(26, 124)(27, 160)(28, 196)(29, 232)(31,
45)(32, 81)(33, 117)(34, 153)(35, 189)(36, 225)(39, 74)(40, 110)(41, 146)(42,
182)(43, 218)(44, 254)(46, 67)(47, 103)(48, 139)(49, 175)(50, 211)(51, 247)(53,
60)(54, 96)(55, 132)(56, 168)(57, 204)(58, 240)(61, 89)(62, 125)(63, 161)(64,
197)(65, 233)(68, 82)(69, 118)(70, 154)(71, 190)(72, 226)(76, 111)(77, 147)(78,
183)(79, 219)(80, 255)(83, 104)(84, 140)(85, 176)(86, 212)(87, 248)(90, 97)(91,
133)(92, 169)(93, 205)(94, 241)(98, 126)(99, 162)(100, 198)(101, 234)(105,
119)(106, 155)(107, 191)(108, 227)(113, 148)(114, 184)(115, 220)(116, 256)(120,
141)(121, 177)(122, 213)(123, 249)(127, 134)(128, 170)(129, 206)(130, 242)(135,
163)(136, 199)(137, 235)(142, 156)(143, 192)(144, 228)(150, 185)(151, 221)(152,
257)(157, 178)(158, 214)(159, 250)(164, 171)(165, 207)(166, 243)(172, 200)(173,
236)(179, 193)(180, 229)(187, 222)(188, 258)(194, 215)(195, 251)(201, 208)(202,
244)(209, 237)(216, 230)(224, 259)(231, 252)(238, 245) (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, 224)(3, 188)(4, 152)(5, 116)(6, 80)(7, 44)(9, 231)(10, 195)(11, 159)(12,
123)(13, 87)(14, 51)(16, 238)(17, 202)(18, 166)(19, 130)(20, 94)(21, 58)(23,
245)(24, 209)(25, 173)(26, 137)(27, 101)(28, 65)(30, 252)(31, 216)(32, 180)(33,
144)(34, 108)(35, 72)(37, 259)(38, 223)(39, 187)(40, 151)(41, 115)(42, 79)(45,
230)(46, 194)(47, 158)(48, 122)(49, 86)(52, 237)(53, 201)(54, 165)(55, 129)(56,
93)(59, 244)(60, 208)(61, 172)(62, 136)(63, 100)(66, 251)(67, 215)(68, 179)(69,
143)(70, 107)(73, 258)(74, 222)(75, 186)(76, 150)(77, 114)(81, 229)(82, 193)(83,
157)(84, 121)(88, 236)(89, 200)(90, 164)(91, 128)(95, 243)(96, 207)(97, 171)(98,
135)(102, 250)(103, 214)(104, 178)(105, 142)(109, 257)(110, 221)(111, 185)(112,
149)(117, 228)(118, 192)(119, 156)(124, 235)(125, 199)(126, 163)(131, 242)(132,
206)(133, 170)(138, 249)(139, 213)(140, 177)(145, 256)(146, 220)(147, 184)(153,
227)(154, 191)(160, 234)(161, 198)(167, 241)(168, 205)(174, 248)(175, 212)(181,
255)(182, 219)(189, 226)(196, 233)(203, 240)(210, 247)(217, 254)
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)
C4[ 259, 1 ]
259
-1 2 37 224 259
-2 1 3 38 225
-3 2 4 39 226
-4 3 5 40 227
-5 4 6 41 228
-6 5 7 42 229
-7 6 8 43 230
-8 44 231 7 9
-9 45 232 8 10
-10 11 46 233 9
-11 12 47 234 10
-12 11 13 48 235
-13 12 14 49 236
-14 13 15 50 237
-15 14 16 51 238
-16 15 17 52 239
-17 16 18 53 240
-18 17 19 54 241
-19 55 242 18 20
-20 56 243 19 21
-21 22 57 244 20
-22 23 58 245 21
-23 22 24 59 246
-24 23 25 60 247
-25 24 26 61 248
-26 25 27 62 249
-27 26 28 63 250
-28 27 29 64 251
-29 28 30 65 252
-30 66 253 29 31
-31 67 254 30 32
-32 33 68 255 31
-33 34 69 256 32
-34 33 35 70 257
-35 34 36 71 258
-36 35 37 72 259
-37 1 36 38 73
-38 2 37 39 74
-39 3 38 40 75
-40 4 39 41 76
-41 77 5 40 42
-42 78 6 41 43
-43 44 79 7 42
-44 45 80 8 43
-45 44 46 81 9
-46 45 47 82 10
-47 11 46 48 83
-48 12 47 49 84
-49 13 48 50 85
-50 14 49 51 86
-51 15 50 52 87
-52 88 16 51 53
-53 89 17 52 54
-54 55 90 18 53
-55 56 91 19 54
-56 55 57 92 20
-57 56 58 93 21
-58 22 57 59 94
-59 23 58 60 95
-60 24 59 61 96
-61 25 60 62 97
-62 26 61 63 98
-63 99 27 62 64
-64 100 28 63 65
-65 66 101 29 64
-66 67 102 30 65
-67 66 68 103 31
-68 67 69 104 32
-69 33 68 70 105
-70 34 69 71 106
-71 35 70 72 107
-72 36 71 73 108
-73 37 72 74 109
-74 110 38 73 75
-75 111 39 74 76
-76 77 112 40 75
-77 78 113 41 76
-78 77 79 114 42
-79 78 80 115 43
-80 44 79 81 116
-81 45 80 82 117
-82 46 81 83 118
-83 47 82 84 119
-84 48 83 85 120
-85 121 49 84 86
-86 122 50 85 87
-87 88 123 51 86
-88 89 124 52 87
-89 88 90 125 53
-90 89 91 126 54
-91 55 90 92 127
-92 56 91 93 128
-93 57 92 94 129
-94 58 93 95 130
-95 59 94 96 131
-96 132 60 95 97
-97 133 61 96 98
-98 99 134 62 97
-99 100 135 63 98
-100 99 101 136 64
-101 100 102 137 65
-102 66 101 103 138
-103 67 102 104 139
-104 68 103 105 140
-105 69 104 106 141
-106 70 105 107 142
-107 143 71 106 108
-108 144 72 107 109
-109 110 145 73 108
-110 111 146 74 109
-111 110 112 147 75
-112 111 113 148 76
-113 77 112 114 149
-114 78 113 115 150
-115 79 114 116 151
-116 80 115 117 152
-117 81 116 118 153
-118 154 82 117 119
-119 155 83 118 120
-120 121 156 84 119
-121 122 157 85 120
-122 121 123 158 86
-123 122 124 159 87
-124 88 123 125 160
-125 89 124 126 161
-126 90 125 127 162
-127 91 126 128 163
-128 92 127 129 164
-129 165 93 128 130
-130 166 94 129 131
-131 132 167 95 130
-132 133 168 96 131
-133 132 134 169 97
-134 133 135 170 98
-135 99 134 136 171
-136 100 135 137 172
-137 101 136 138 173
-138 102 137 139 174
-139 103 138 140 175
-140 176 104 139 141
-141 177 105 140 142
-142 143 178 106 141
-143 144 179 107 142
-144 143 145 180 108
-145 144 146 181 109
-146 110 145 147 182
-147 111 146 148 183
-148 112 147 149 184
-149 113 148 150 185
-150 114 149 151 186
-151 187 115 150 152
-152 188 116 151 153
-153 154 189 117 152
-154 155 190 118 153
-155 154 156 191 119
-156 155 157 192 120
-157 121 156 158 193
-158 122 157 159 194
-159 123 158 160 195
-160 124 159 161 196
-161 125 160 162 197
-162 198 126 161 163
-163 199 127 162 164
-164 165 200 128 163
-165 166 201 129 164
-166 165 167 202 130
-167 166 168 203 131
-168 132 167 169 204
-169 133 168 170 205
-170 134 169 171 206
-171 135 170 172 207
-172 136 171 173 208
-173 209 137 172 174
-174 210 138 173 175
-175 176 211 139 174
-176 177 212 140 175
-177 176 178 213 141
-178 177 179 214 142
-179 143 178 180 215
-180 144 179 181 216
-181 145 180 182 217
-182 146 181 183 218
-183 147 182 184 219
-184 220 148 183 185
-185 221 149 184 186
-186 187 222 150 185
-187 188 223 151 186
-188 187 189 224 152
-189 188 190 225 153
-190 154 189 191 226
-191 155 190 192 227
-192 156 191 193 228
-193 157 192 194 229
-194 158 193 195 230
-195 231 159 194 196
-196 232 160 195 197
-197 198 233 161 196
-198 199 234 162 197
-199 198 200 235 163
-200 199 201 236 164
-201 165 200 202 237
-202 166 201 203 238
-203 167 202 204 239
-204 168 203 205 240
-205 169 204 206 241
-206 242 170 205 207
-207 243 171 206 208
-208 209 244 172 207
-209 210 245 173 208
-210 209 211 246 174
-211 210 212 247 175
-212 176 211 213 248
-213 177 212 214 249
-214 178 213 215 250
-215 179 214 216 251
-216 180 215 217 252
-217 253 181 216 218
-218 254 182 217 219
-219 220 255 183 218
-220 221 256 184 219
-221 220 222 257 185
-222 221 223 258 186
-223 187 222 224 259
-224 1 188 223 225
-225 2 189 224 226
-226 3 190 225 227
-227 4 191 226 228
-228 5 192 227 229
-229 6 193 228 230
-230 231 7 194 229
-231 232 8 195 230
-232 231 233 9 196
-233 232 234 10 197
-234 11 198 233 235
-235 12 199 234 236
-236 13 200 235 237
-237 14 201 236 238
-238 15 202 237 239
-239 16 203 238 240
-240 17 204 239 241
-241 242 18 205 240
-242 243 19 206 241
-243 242 244 20 207
-244 243 245 21 208
-245 22 209 244 246
-246 23 210 245 247
-247 24 211 246 248
-248 25 212 247 249
-249 26 213 248 250
-250 27 214 249 251
-251 28 215 250 252
-252 253 29 216 251
-253 254 30 217 252
-254 253 255 31 218
-255 254 256 32 219
-256 33 220 255 257
-257 34 221 256 258
-258 35 222 257 259
-259 1 36 223 258
0