Graph forms
for C4 [ 273, 1 ] = C_273(1,64)
[Home] [Table] [Glossary]
[Families]
On this page are computer-accessible forms for the graph C4[ 273, 1 ] =
C_273(1,64).
(I) Following is a form readable by MAGMA:
g:=Graph<273|{ {2, 3}, {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}, {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}, {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}, {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}, {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},
{209, 210}, {205, 206}, {201, 202}, {197, 198}, {193, 194}, {189, 190}, {185,
186}, {93, 94}, {89, 90}, {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}, {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}, {181, 182}, {3, 4}, {267, 268}, {259, 260}, {251, 252}, {243, 244},
{235, 236}, {227, 228}, {219, 220}, {211, 212}, {203, 204}, {195, 196}, {187,
188}, {91, 92}, {83, 84}, {75, 76}, {67, 68}, {59, 60}, {51, 52}, {11, 12}, {19,
20}, {27, 28}, {35, 36}, {43, 44}, {99, 100}, {107, 108}, {115, 116}, {123,
124}, {131, 132}, {139, 140}, {147, 148}, {155, 156}, {163, 164}, {171, 172},
{179, 180}, {7, 8}, {263, 264}, {247, 248}, {231, 232}, {215, 216}, {199, 200},
{87, 88}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {103, 104}, {119, 120}, {135,
136}, {151, 152}, {167, 168}, {183, 184}, {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, 65}, {191, 255}, {190, 254}, {189, 253},
{188, 252}, {187, 251}, {186, 250}, {185, 249}, {184, 248}, {63, 127}, {62,
126}, {61, 125}, {60, 124}, {59, 123}, {58, 122}, {57, 121}, {56, 120}, {55,
119}, {54, 118}, {53, 117}, {52, 116}, {51, 115}, {2, 66}, {3, 67}, {4, 68}, {5,
69}, {6, 70}, {7, 71}, {8, 72}, {9, 73}, {10, 74}, {11, 75}, {12, 76}, {13, 77},
{14, 78}, {15, 79}, {16, 80}, {17, 81}, {18, 82}, {19, 83}, {20, 84}, {21, 85},
{22, 86}, {23, 87}, {24, 88}, {25, 89}, {26, 90}, {27, 91}, {28, 92}, {29, 93},
{30, 94}, {31, 95}, {32, 96}, {33, 97}, {34, 98}, {35, 99}, {36, 100}, {37,
101}, {38, 102}, {39, 103}, {40, 104}, {41, 105}, {42, 106}, {43, 107}, {44,
108}, {45, 109}, {46, 110}, {47, 111}, {48, 112}, {49, 113}, {50, 114}, {128,
192}, {129, 193}, {130, 194}, {131, 195}, {132, 196}, {133, 197}, {134, 198},
{135, 199}, {136, 200}, {137, 201}, {138, 202}, {139, 203}, {140, 204}, {141,
205}, {142, 206}, {143, 207}, {144, 208}, {145, 209}, {146, 210}, {147, 211},
{148, 212}, {149, 213}, {150, 214}, {151, 215}, {152, 216}, {153, 217}, {154,
218}, {155, 219}, {156, 220}, {157, 221}, {158, 222}, {159, 223}, {160, 224},
{161, 225}, {162, 226}, {163, 227}, {164, 228}, {165, 229}, {166, 230}, {167,
231}, {168, 232}, {169, 233}, {170, 234}, {171, 235}, {172, 236}, {173, 237},
{174, 238}, {175, 239}, {176, 240}, {177, 241}, {178, 242}, {179, 243}, {180,
244}, {181, 245}, {182, 246}, {183, 247}, {63, 64}, {191, 192}, {64, 128}, {95,
159}, {94, 158}, {93, 157}, {92, 156}, {91, 155}, {90, 154}, {89, 153}, {88,
152}, {87, 151}, {86, 150}, {85, 149}, {84, 148}, {83, 147}, {82, 146}, {81,
145}, {80, 144}, {79, 143}, {78, 142}, {77, 141}, {76, 140}, {75, 139}, {74,
138}, {73, 137}, {72, 136}, {71, 135}, {70, 134}, {69, 133}, {68, 132}, {67,
131}, {66, 130}, {65, 129}, {96, 160}, {97, 161}, {98, 162}, {99, 163}, {100,
164}, {101, 165}, {102, 166}, {103, 167}, {104, 168}, {105, 169}, {106, 170},
{107, 171}, {108, 172}, {109, 173}, {110, 174}, {111, 175}, {112, 176}, {113,
177}, {114, 178}, {115, 179}, {116, 180}, {117, 181}, {118, 182}, {119, 183},
{120, 184}, {121, 185}, {122, 186}, {123, 187}, {124, 188}, {125, 189}, {126,
190}, {127, 191}, {2, 211}, {4, 213}, {6, 215}, {8, 217}, {10, 219}, {12, 221},
{14, 223}, {32, 241}, {34, 243}, {36, 245}, {38, 247}, {40, 249}, {42, 251},
{44, 253}, {46, 255}, {1, 210}, {5, 214}, {9, 218}, {13, 222}, {33, 242}, {37,
246}, {41, 250}, {45, 254}, {3, 212}, {11, 220}, {35, 244}, {43, 252}, {7, 216},
{39, 248}, {15, 224}, {31, 240}, {16, 225}, {18, 227}, {20, 229}, {22, 231},
{24, 233}, {26, 235}, {28, 237}, {30, 239}, {17, 226}, {21, 230}, {25, 234},
{29, 238}, {19, 228}, {27, 236}, {23, 232}, {127, 128}, {1, 273}, {47, 256},
{63, 272}, {48, 257}, {62, 271}, {60, 269}, {58, 267}, {56, 265}, {54, 263},
{52, 261}, {50, 259}, {49, 258}, {61, 270}, {57, 266}, {53, 262}, {51, 260},
{59, 268}, {55, 264}, {64, 273}, {192, 256}, {209, 273}, {208, 272}, {207, 271},
{206, 270}, {205, 269}, {204, 268}, {203, 267}, {202, 266}, {201, 265}, {200,
264}, {199, 263}, {198, 262}, {197, 261}, {196, 260}, {195, 259}, {194, 258},
{193, 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, 210)(3, 146)(4, 82)(5, 18)(6, 227)(7, 163)(8, 99)(9, 35)(10, 244)(11,
180)(12, 116)(13, 52)(14, 261)(15, 197)(16, 133)(17, 69)(19, 214)(20, 150)(21,
86)(23, 231)(24, 167)(25, 103)(26, 39)(27, 248)(28, 184)(29, 120)(30, 56)(31,
265)(32, 201)(33, 137)(34, 73)(36, 218)(37, 154)(38, 90)(40, 235)(41, 171)(42,
107)(44, 252)(45, 188)(46, 124)(47, 60)(48, 269)(49, 205)(50, 141)(51, 77)(53,
222)(54, 158)(55, 94)(57, 239)(58, 175)(59, 111)(61, 256)(62, 192)(63, 128)(65,
273)(66, 209)(67, 145)(68, 81)(70, 226)(71, 162)(72, 98)(74, 243)(75, 179)(76,
115)(78, 260)(79, 196)(80, 132)(83, 213)(84, 149)(87, 230)(88, 166)(89, 102)(91,
247)(92, 183)(93, 119)(95, 264)(96, 200)(97, 136)(100, 217)(101, 153)(104,
234)(105, 170)(108, 251)(109, 187)(110, 123)(112, 268)(113, 204)(114, 140)(117,
221)(118, 157)(121, 238)(122, 174)(125, 255)(126, 191)(129, 272)(130, 208)(131,
144)(134, 225)(135, 161)(138, 242)(139, 178)(142, 259)(143, 195)(147, 212)(151,
229)(152, 165)(155, 246)(156, 182)(159, 263)(160, 199)(164, 216)(168, 233)(172,
250)(173, 186)(176, 267)(177, 203)(181, 220)(185, 237)(189, 254)(193, 271)(194,
207)(198, 224)(202, 241)(206, 258)(215, 228)(219, 245)(223, 262)(236, 249)(240,
266)(257, 270) (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)
c: (2, 65)(3, 129)(4, 193)(5, 257)(6, 48)(7, 112)(8, 176)(9, 240)(10, 31)(11,
95)(12, 159)(13, 223)(15, 78)(16, 142)(17, 206)(18, 270)(19, 61)(20, 125)(21,
189)(22, 253)(23, 44)(24, 108)(25, 172)(26, 236)(28, 91)(29, 155)(30, 219)(32,
74)(33, 138)(34, 202)(35, 266)(36, 57)(37, 121)(38, 185)(39, 249)(41, 104)(42,
168)(43, 232)(45, 87)(46, 151)(47, 215)(49, 70)(50, 134)(51, 198)(52, 262)(54,
117)(55, 181)(56, 245)(58, 100)(59, 164)(60, 228)(62, 83)(63, 147)(64, 211)(67,
130)(68, 194)(69, 258)(71, 113)(72, 177)(73, 241)(75, 96)(76, 160)(77, 224)(80,
143)(81, 207)(82, 271)(84, 126)(85, 190)(86, 254)(88, 109)(89, 173)(90, 237)(93,
156)(94, 220)(97, 139)(98, 203)(99, 267)(101, 122)(102, 186)(103, 250)(106,
169)(107, 233)(110, 152)(111, 216)(114, 135)(115, 199)(116, 263)(119, 182)(120,
246)(123, 165)(124, 229)(127, 148)(128, 212)(132, 195)(133, 259)(136, 178)(137,
242)(140, 161)(141, 225)(145, 208)(146, 272)(149, 191)(150, 255)(153, 174)(154,
238)(158, 221)(162, 204)(163, 268)(166, 187)(167, 251)(171, 234)(175, 217)(179,
200)(180, 264)(184, 247)(188, 230)(192, 213)(197, 260)(201, 243)(205, 226)(210,
273)(214, 256)(218, 239)(227, 269)(231, 252)(244, 265)
C4[ 273, 1 ]
273
-1 210 2 273 65
-2 66 1 211 3
-3 67 2 212 4
-4 68 3 213 5
-5 69 4 214 6
-6 70 5 215 7
-7 71 6 216 8
-8 72 7 217 9
-9 73 8 218 10
-10 11 74 9 219
-11 220 12 75 10
-12 11 221 13 76
-13 77 12 222 14
-14 78 13 223 15
-15 79 14 224 16
-16 80 15 225 17
-17 81 16 226 18
-18 82 17 227 19
-19 83 18 228 20
-20 84 19 229 21
-21 22 85 20 230
-22 231 23 86 21
-23 22 232 24 87
-24 88 23 233 25
-25 89 24 234 26
-26 90 25 235 27
-27 91 26 236 28
-28 92 27 237 29
-29 93 28 238 30
-30 94 29 239 31
-31 95 30 240 32
-32 33 96 31 241
-33 242 34 97 32
-34 33 243 35 98
-35 99 34 244 36
-36 100 35 245 37
-37 101 36 246 38
-38 102 37 247 39
-39 103 38 248 40
-40 104 39 249 41
-41 105 40 250 42
-42 106 41 251 43
-43 44 107 42 252
-44 253 45 108 43
-45 44 254 46 109
-46 110 45 255 47
-47 111 46 256 48
-48 112 47 257 49
-49 113 48 258 50
-50 114 49 259 51
-51 115 50 260 52
-52 116 51 261 53
-53 117 52 262 54
-54 55 118 53 263
-55 264 56 119 54
-56 55 265 57 120
-57 121 56 266 58
-58 122 57 267 59
-59 123 58 268 60
-60 124 59 269 61
-61 125 60 270 62
-62 126 61 271 63
-63 127 62 272 64
-64 128 63 273 65
-65 66 1 129 64
-66 67 2 130 65
-67 66 68 3 131
-68 132 67 69 4
-69 133 68 70 5
-70 134 69 71 6
-71 135 70 72 7
-72 136 71 73 8
-73 137 72 74 9
-74 138 73 75 10
-75 11 139 74 76
-76 77 12 140 75
-77 78 13 141 76
-78 77 79 14 142
-79 143 78 80 15
-80 144 79 81 16
-81 145 80 82 17
-82 146 81 83 18
-83 147 82 84 19
-84 148 83 85 20
-85 149 84 86 21
-86 22 150 85 87
-87 88 23 151 86
-88 89 24 152 87
-89 88 90 25 153
-90 154 89 91 26
-91 155 90 92 27
-92 156 91 93 28
-93 157 92 94 29
-94 158 93 95 30
-95 159 94 96 31
-96 160 95 97 32
-97 33 161 96 98
-98 99 34 162 97
-99 100 35 163 98
-100 99 101 36 164
-101 165 100 102 37
-102 166 101 103 38
-103 167 102 104 39
-104 168 103 105 40
-105 169 104 106 41
-106 170 105 107 42
-107 171 106 108 43
-108 44 172 107 109
-109 110 45 173 108
-110 111 46 174 109
-111 110 112 47 175
-112 176 111 113 48
-113 177 112 114 49
-114 178 113 115 50
-115 179 114 116 51
-116 180 115 117 52
-117 181 116 118 53
-118 182 117 119 54
-119 55 183 118 120
-120 121 56 184 119
-121 122 57 185 120
-122 121 123 58 186
-123 187 122 124 59
-124 188 123 125 60
-125 189 124 126 61
-126 190 125 127 62
-127 191 126 128 63
-128 192 127 129 64
-129 193 128 130 65
-130 66 194 129 131
-131 132 67 195 130
-132 133 68 196 131
-133 132 134 69 197
-134 198 133 135 70
-135 199 134 136 71
-136 200 135 137 72
-137 201 136 138 73
-138 202 137 139 74
-139 203 138 140 75
-140 204 139 141 76
-141 77 205 140 142
-142 143 78 206 141
-143 144 79 207 142
-144 143 145 80 208
-145 209 144 146 81
-146 210 145 147 82
-147 211 146 148 83
-148 212 147 149 84
-149 213 148 150 85
-150 214 149 151 86
-151 215 150 152 87
-152 88 216 151 153
-153 154 89 217 152
-154 155 90 218 153
-155 154 156 91 219
-156 220 155 157 92
-157 221 156 158 93
-158 222 157 159 94
-159 223 158 160 95
-160 224 159 161 96
-161 225 160 162 97
-162 226 161 163 98
-163 99 227 162 164
-164 165 100 228 163
-165 166 101 229 164
-166 165 167 102 230
-167 231 166 168 103
-168 232 167 169 104
-169 233 168 170 105
-170 234 169 171 106
-171 235 170 172 107
-172 236 171 173 108
-173 237 172 174 109
-174 110 238 173 175
-175 176 111 239 174
-176 177 112 240 175
-177 176 178 113 241
-178 242 177 179 114
-179 243 178 180 115
-180 244 179 181 116
-181 245 180 182 117
-182 246 181 183 118
-183 247 182 184 119
-184 248 183 185 120
-185 121 249 184 186
-186 187 122 250 185
-187 188 123 251 186
-188 187 189 124 252
-189 253 188 190 125
-190 254 189 191 126
-191 255 190 192 127
-192 256 191 193 128
-193 257 192 194 129
-194 258 193 195 130
-195 259 194 196 131
-196 132 260 195 197
-197 198 133 261 196
-198 199 134 262 197
-199 198 200 135 263
-200 264 199 201 136
-201 265 200 202 137
-202 266 201 203 138
-203 267 202 204 139
-204 268 203 205 140
-205 269 204 206 141
-206 270 205 207 142
-207 143 271 206 208
-208 209 144 272 207
-209 210 145 273 208
-210 209 1 211 146
-211 210 2 212 147
-212 211 3 213 148
-213 212 4 214 149
-214 213 5 215 150
-215 214 6 216 151
-216 215 7 217 152
-217 216 8 218 153
-218 154 217 9 219
-219 220 155 218 10
-220 11 221 156 219
-221 220 12 222 157
-222 221 13 223 158
-223 222 14 224 159
-224 223 15 225 160
-225 224 16 226 161
-226 225 17 227 162
-227 226 18 228 163
-228 227 19 229 164
-229 165 228 20 230
-230 231 166 229 21
-231 22 232 167 230
-232 231 23 233 168
-233 232 24 234 169
-234 233 25 235 170
-235 234 26 236 171
-236 235 27 237 172
-237 236 28 238 173
-238 237 29 239 174
-239 238 30 240 175
-240 176 239 31 241
-241 242 177 240 32
-242 33 243 178 241
-243 242 34 244 179
-244 243 35 245 180
-245 244 36 246 181
-246 245 37 247 182
-247 246 38 248 183
-248 247 39 249 184
-249 248 40 250 185
-250 249 41 251 186
-251 187 250 42 252
-252 253 188 251 43
-253 44 254 189 252
-254 253 45 255 190
-255 254 46 256 191
-256 255 47 257 192
-257 256 48 258 193
-258 257 49 259 194
-259 258 50 260 195
-260 259 51 261 196
-261 260 52 262 197
-262 198 261 53 263
-263 264 199 262 54
-264 55 265 200 263
-265 264 56 266 201
-266 265 57 267 202
-267 266 58 268 203
-268 267 59 269 204
-269 268 60 270 205
-270 269 61 271 206
-271 270 62 272 207
-272 271 63 273 208
-273 209 1 272 64
0