Graph forms
for C4 [ 313, 1 ] = C_313(1,25)
[Home] [Table] [Glossary]
[Families]
On this page are computer-accessible forms for the graph C4[ 313, 1 ] =
C_313(1,25).
(I) Following is a form readable by MAGMA:
g:=Graph<313|{ {2, 3}, {312, 313}, {310, 311}, {308, 309}, {306, 307}, {304,
305}, {302, 303}, {300, 301}, {298, 299}, {296, 297}, {294, 295}, {292, 293},
{290, 291}, {288, 289}, {286, 287}, {284, 285}, {282, 283}, {280, 281}, {278,
279}, {276, 277}, {274, 275}, {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}, {116, 117}, {114, 115}, {112, 113}, {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}, {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}, {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}, {1, 2}, {309, 310}, {305,
306}, {301, 302}, {297, 298}, {293, 294}, {289, 290}, {285, 286}, {281, 282},
{277, 278}, {273, 274}, {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}, {117, 118}, {113,
114}, {109, 110}, {105, 106}, {101, 102}, {97, 98}, {93, 94}, {89, 90}, {85,
86}, {81, 82}, {77, 78}, {73, 74}, {69, 70}, {65, 66}, {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}, {61, 62}, {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}, {201, 202}, {205, 206}, {3, 4},
{307, 308}, {299, 300}, {291, 292}, {283, 284}, {275, 276}, {267, 268}, {259,
260}, {251, 252}, {243, 244}, {235, 236}, {227, 228}, {219, 220}, {211, 212},
{115, 116}, {107, 108}, {99, 100}, {91, 92}, {83, 84}, {75, 76}, {67, 68}, {11,
12}, {19, 20}, {27, 28}, {35, 36}, {43, 44}, {51, 52}, {59, 60}, {123, 124},
{131, 132}, {139, 140}, {147, 148}, {155, 156}, {163, 164}, {171, 172}, {179,
180}, {187, 188}, {195, 196}, {203, 204}, {7, 8}, {311, 312}, {295, 296}, {279,
280}, {263, 264}, {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}, {2, 27}, {288, 313}, {262, 287}, {260, 285}, {258,
283}, {256, 281}, {230, 255}, {228, 253}, {226, 251}, {224, 249}, {102, 127},
{100, 125}, {98, 123}, {96, 121}, {70, 95}, {68, 93}, {66, 91}, {64, 89}, {4,
29}, {6, 31}, {32, 57}, {34, 59}, {36, 61}, {38, 63}, {128, 153}, {130, 155},
{132, 157}, {134, 159}, {160, 185}, {162, 187}, {164, 189}, {166, 191}, {192,
217}, {194, 219}, {196, 221}, {198, 223}, {1, 26}, {261, 286}, {257, 282}, {229,
254}, {225, 250}, {101, 126}, {97, 122}, {69, 94}, {65, 90}, {5, 30}, {33, 58},
{37, 62}, {129, 154}, {133, 158}, {161, 186}, {165, 190}, {193, 218}, {197,
222}, {3, 28}, {303, 304}, {271, 272}, {259, 284}, {239, 240}, {227, 252}, {207,
208}, {111, 112}, {99, 124}, {79, 80}, {67, 92}, {15, 16}, {35, 60}, {47, 48},
{131, 156}, {143, 144}, {163, 188}, {175, 176}, {195, 220}, {7, 32}, {287, 312},
{279, 304}, {271, 296}, {263, 288}, {223, 248}, {215, 240}, {207, 232}, {95,
120}, {87, 112}, {79, 104}, {71, 96}, {15, 40}, {23, 48}, {31, 56}, {135, 160},
{143, 168}, {151, 176}, {159, 184}, {199, 224}, {8, 33}, {286, 311}, {284, 309},
{282, 307}, {280, 305}, {270, 295}, {268, 293}, {266, 291}, {264, 289}, {222,
247}, {220, 245}, {218, 243}, {216, 241}, {206, 231}, {94, 119}, {92, 117}, {90,
115}, {88, 113}, {78, 103}, {76, 101}, {74, 99}, {72, 97}, {10, 35}, {12, 37},
{14, 39}, {24, 49}, {26, 51}, {28, 53}, {30, 55}, {136, 161}, {138, 163}, {140,
165}, {142, 167}, {152, 177}, {154, 179}, {156, 181}, {158, 183}, {200, 225},
{202, 227}, {204, 229}, {9, 34}, {285, 310}, {281, 306}, {269, 294}, {265, 290},
{221, 246}, {217, 242}, {93, 118}, {89, 114}, {77, 102}, {73, 98}, {13, 38},
{25, 50}, {29, 54}, {137, 162}, {141, 166}, {153, 178}, {157, 182}, {201, 226},
{205, 230}, {11, 36}, {283, 308}, {267, 292}, {219, 244}, {91, 116}, {75, 100},
{27, 52}, {139, 164}, {155, 180}, {203, 228}, {16, 41}, {278, 303}, {276, 301},
{274, 299}, {272, 297}, {214, 239}, {212, 237}, {210, 235}, {208, 233}, {86,
111}, {84, 109}, {82, 107}, {80, 105}, {18, 43}, {20, 45}, {22, 47}, {144, 169},
{146, 171}, {148, 173}, {150, 175}, {17, 42}, {277, 302}, {273, 298}, {213,
238}, {209, 234}, {85, 110}, {81, 106}, {21, 46}, {145, 170}, {149, 174}, {19,
44}, {287, 288}, {275, 300}, {223, 224}, {211, 236}, {95, 96}, {83, 108}, {31,
32}, {147, 172}, {159, 160}, {39, 64}, {47, 72}, {55, 80}, {63, 88}, {167, 192},
{175, 200}, {183, 208}, {191, 216}, {40, 65}, {42, 67}, {44, 69}, {46, 71}, {56,
81}, {58, 83}, {60, 85}, {62, 87}, {168, 193}, {170, 195}, {172, 197}, {174,
199}, {184, 209}, {186, 211}, {188, 213}, {190, 215}, {41, 66}, {45, 70}, {57,
82}, {61, 86}, {169, 194}, {173, 198}, {185, 210}, {189, 214}, {43, 68}, {59,
84}, {171, 196}, {187, 212}, {48, 73}, {50, 75}, {52, 77}, {54, 79}, {176, 201},
{178, 203}, {180, 205}, {182, 207}, {49, 74}, {53, 78}, {177, 202}, {181, 206},
{51, 76}, {63, 64}, {179, 204}, {191, 192}, {103, 128}, {111, 136}, {119, 144},
{127, 152}, {104, 129}, {110, 135}, {108, 133}, {106, 131}, {120, 145}, {122,
147}, {124, 149}, {126, 151}, {105, 130}, {109, 134}, {121, 146}, {125, 150},
{107, 132}, {123, 148}, {112, 137}, {116, 141}, {114, 139}, {118, 143}, {113,
138}, {117, 142}, {115, 140}, {127, 128}, {1, 289}, {2, 290}, {3, 291}, {4,
292}, {5, 293}, {6, 294}, {7, 295}, {8, 296}, {9, 297}, {10, 298}, {11, 299},
{12, 300}, {13, 301}, {14, 302}, {15, 303}, {16, 304}, {17, 305}, {18, 306},
{19, 307}, {20, 308}, {21, 309}, {22, 310}, {23, 311}, {24, 312}, {25, 313}, {1,
313}, {231, 256}, {255, 280}, {247, 272}, {239, 264}, {232, 257}, {254, 279},
{252, 277}, {250, 275}, {248, 273}, {238, 263}, {236, 261}, {234, 259}, {233,
258}, {253, 278}, {249, 274}, {237, 262}, {235, 260}, {251, 276}, {240, 265},
{246, 271}, {244, 269}, {242, 267}, {241, 266}, {245, 270}, {243, 268}, {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, 289, 313, 26)(3, 264, 312, 51)(4, 239, 311, 76)(5, 214, 310, 101)(6, 189,
309, 126)(7, 164, 308, 151)(8, 139, 307, 176)(9, 114, 306, 201)(10, 89, 305,
226)(11, 64, 304, 251)(12, 39, 303, 276)(13, 14, 302, 301)(15, 277, 300, 38)(16,
252, 299, 63)(17, 227, 298, 88)(18, 202, 297, 113)(19, 177, 296, 138)(20, 152,
295, 163)(21, 127, 294, 188)(22, 102, 293, 213)(23, 77, 292, 238)(24, 52, 291,
263)(25, 27, 290, 288)(28, 265, 287, 50)(29, 240, 286, 75)(30, 215, 285,
100)(31, 190, 284, 125)(32, 165, 283, 150)(33, 140, 282, 175)(34, 115, 281,
200)(35, 90, 280, 225)(36, 65, 279, 250)(37, 40, 278, 275)(41, 253, 274, 62)(42,
228, 273, 87)(43, 203, 272, 112)(44, 178, 271, 137)(45, 153, 270, 162)(46, 128,
269, 187)(47, 103, 268, 212)(48, 78, 267, 237)(49, 53, 266, 262)(54, 241, 261,
74)(55, 216, 260, 99)(56, 191, 259, 124)(57, 166, 258, 149)(58, 141, 257,
174)(59, 116, 256, 199)(60, 91, 255, 224)(61, 66, 254, 249)(67, 229, 248,
86)(68, 204, 247, 111)(69, 179, 246, 136)(70, 154, 245, 161)(71, 129, 244,
186)(72, 104, 243, 211)(73, 79, 242, 236)(80, 217, 235, 98)(81, 192, 234,
123)(82, 167, 233, 148)(83, 142, 232, 173)(84, 117, 231, 198)(85, 92, 230,
223)(93, 205, 222, 110)(94, 180, 221, 135)(95, 155, 220, 160)(96, 130, 219,
185)(97, 105, 218, 210)(106, 193, 209, 122)(107, 168, 208, 147)(108, 143, 207,
172)(109, 118, 206, 197)(119, 181, 196, 134)(120, 156, 195, 159)(121, 131, 194,
184)(132, 169, 183, 146)(133, 144, 182, 171)(145, 157, 170, 158) (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, 274, 275, 276,
277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292,
293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308,
309, 310, 311, 312, 313)
C4[ 313, 1 ]
313
-1 2 289 26 313
-2 1 3 290 27
-3 2 4 291 28
-4 3 5 292 29
-5 4 6 293 30
-6 5 7 294 31
-7 6 8 295 32
-8 33 7 9 296
-9 297 34 8 10
-10 11 298 35 9
-11 12 299 36 10
-12 11 13 300 37
-13 12 14 301 38
-14 13 15 302 39
-15 14 16 303 40
-16 15 17 304 41
-17 16 18 305 42
-18 17 19 306 43
-19 44 18 20 307
-20 308 45 19 21
-21 22 309 46 20
-22 23 310 47 21
-23 22 24 311 48
-24 23 25 312 49
-25 24 26 313 50
-26 1 25 27 51
-27 2 26 28 52
-28 3 27 29 53
-29 4 28 30 54
-30 55 5 29 31
-31 56 6 30 32
-32 33 57 7 31
-33 34 58 8 32
-34 33 35 59 9
-35 34 36 60 10
-36 11 35 37 61
-37 12 36 38 62
-38 13 37 39 63
-39 14 38 40 64
-40 15 39 41 65
-41 66 16 40 42
-42 67 17 41 43
-43 44 68 18 42
-44 45 69 19 43
-45 44 46 70 20
-46 45 47 71 21
-47 22 46 48 72
-48 23 47 49 73
-49 24 48 50 74
-50 25 49 51 75
-51 26 50 52 76
-52 77 27 51 53
-53 78 28 52 54
-54 55 79 29 53
-55 56 80 30 54
-56 55 57 81 31
-57 56 58 82 32
-58 33 57 59 83
-59 34 58 60 84
-60 35 59 61 85
-61 36 60 62 86
-62 37 61 63 87
-63 88 38 62 64
-64 89 39 63 65
-65 66 90 40 64
-66 67 91 41 65
-67 66 68 92 42
-68 67 69 93 43
-69 44 68 70 94
-70 45 69 71 95
-71 46 70 72 96
-72 47 71 73 97
-73 48 72 74 98
-74 99 49 73 75
-75 100 50 74 76
-76 77 101 51 75
-77 78 102 52 76
-78 77 79 103 53
-79 78 80 104 54
-80 55 79 81 105
-81 56 80 82 106
-82 57 81 83 107
-83 58 82 84 108
-84 59 83 85 109
-85 110 60 84 86
-86 111 61 85 87
-87 88 112 62 86
-88 89 113 63 87
-89 88 90 114 64
-90 89 91 115 65
-91 66 90 92 116
-92 67 91 93 117
-93 68 92 94 118
-94 69 93 95 119
-95 70 94 96 120
-96 121 71 95 97
-97 122 72 96 98
-98 99 123 73 97
-99 100 124 74 98
-100 99 101 125 75
-101 100 102 126 76
-102 77 101 103 127
-103 78 102 104 128
-104 79 103 105 129
-105 80 104 106 130
-106 81 105 107 131
-107 132 82 106 108
-108 133 83 107 109
-109 110 134 84 108
-110 111 135 85 109
-111 110 112 136 86
-112 111 113 137 87
-113 88 112 114 138
-114 89 113 115 139
-115 90 114 116 140
-116 91 115 117 141
-117 92 116 118 142
-118 143 93 117 119
-119 144 94 118 120
-120 121 145 95 119
-121 122 146 96 120
-122 121 123 147 97
-123 122 124 148 98
-124 99 123 125 149
-125 100 124 126 150
-126 101 125 127 151
-127 102 126 128 152
-128 103 127 129 153
-129 154 104 128 130
-130 155 105 129 131
-131 132 156 106 130
-132 133 157 107 131
-133 132 134 158 108
-134 133 135 159 109
-135 110 134 136 160
-136 111 135 137 161
-137 112 136 138 162
-138 113 137 139 163
-139 114 138 140 164
-140 165 115 139 141
-141 166 116 140 142
-142 143 167 117 141
-143 144 168 118 142
-144 143 145 169 119
-145 144 146 170 120
-146 121 145 147 171
-147 122 146 148 172
-148 123 147 149 173
-149 124 148 150 174
-150 125 149 151 175
-151 176 126 150 152
-152 177 127 151 153
-153 154 178 128 152
-154 155 179 129 153
-155 154 156 180 130
-156 155 157 181 131
-157 132 156 158 182
-158 133 157 159 183
-159 134 158 160 184
-160 135 159 161 185
-161 136 160 162 186
-162 187 137 161 163
-163 188 138 162 164
-164 165 189 139 163
-165 166 190 140 164
-166 165 167 191 141
-167 166 168 192 142
-168 143 167 169 193
-169 144 168 170 194
-170 145 169 171 195
-171 146 170 172 196
-172 147 171 173 197
-173 198 148 172 174
-174 199 149 173 175
-175 176 200 150 174
-176 177 201 151 175
-177 176 178 202 152
-178 177 179 203 153
-179 154 178 180 204
-180 155 179 181 205
-181 156 180 182 206
-182 157 181 183 207
-183 158 182 184 208
-184 209 159 183 185
-185 210 160 184 186
-186 187 211 161 185
-187 188 212 162 186
-188 187 189 213 163
-189 188 190 214 164
-190 165 189 191 215
-191 166 190 192 216
-192 167 191 193 217
-193 168 192 194 218
-194 169 193 195 219
-195 220 170 194 196
-196 221 171 195 197
-197 198 222 172 196
-198 199 223 173 197
-199 198 200 224 174
-200 199 201 225 175
-201 176 200 202 226
-202 177 201 203 227
-203 178 202 204 228
-204 179 203 205 229
-205 180 204 206 230
-206 231 181 205 207
-207 232 182 206 208
-208 209 233 183 207
-209 210 234 184 208
-210 209 211 235 185
-211 210 212 236 186
-212 187 211 213 237
-213 188 212 214 238
-214 189 213 215 239
-215 190 214 216 240
-216 191 215 217 241
-217 242 192 216 218
-218 243 193 217 219
-219 220 244 194 218
-220 221 245 195 219
-221 220 222 246 196
-222 221 223 247 197
-223 198 222 224 248
-224 199 223 225 249
-225 200 224 226 250
-226 201 225 227 251
-227 202 226 228 252
-228 253 203 227 229
-229 254 204 228 230
-230 231 255 205 229
-231 232 256 206 230
-232 231 233 257 207
-233 232 234 258 208
-234 209 233 235 259
-235 210 234 236 260
-236 211 235 237 261
-237 212 236 238 262
-238 213 237 239 263
-239 264 214 238 240
-240 265 215 239 241
-241 242 266 216 240
-242 243 267 217 241
-243 242 244 268 218
-244 243 245 269 219
-245 220 244 246 270
-246 221 245 247 271
-247 222 246 248 272
-248 223 247 249 273
-249 224 248 250 274
-250 275 225 249 251
-251 276 226 250 252
-252 253 277 227 251
-253 254 278 228 252
-254 253 255 279 229
-255 254 256 280 230
-256 231 255 257 281
-257 232 256 258 282
-258 233 257 259 283
-259 234 258 260 284
-260 235 259 261 285
-261 286 236 260 262
-262 287 237 261 263
-263 264 288 238 262
-264 265 289 239 263
-265 264 266 290 240
-266 265 267 291 241
-267 242 266 268 292
-268 243 267 269 293
-269 244 268 270 294
-270 245 269 271 295
-271 246 270 272 296
-272 297 247 271 273
-273 298 248 272 274
-274 275 299 249 273
-275 276 300 250 274
-276 275 277 301 251
-277 276 278 302 252
-278 253 277 279 303
-279 254 278 280 304
-280 255 279 281 305
-281 256 280 282 306
-282 257 281 283 307
-283 308 258 282 284
-284 309 259 283 285
-285 286 310 260 284
-286 287 311 261 285
-287 286 288 312 262
-288 287 289 313 263
-289 264 1 288 290
-290 265 2 289 291
-291 266 3 290 292
-292 267 4 291 293
-293 268 5 292 294
-294 269 6 293 295
-295 270 7 294 296
-296 297 271 8 295
-297 298 272 9 296
-298 297 299 273 10
-299 11 298 300 274
-300 275 12 299 301
-301 276 13 300 302
-302 277 14 301 303
-303 278 15 302 304
-304 279 16 303 305
-305 280 17 304 306
-306 281 18 305 307
-307 308 282 19 306
-308 309 283 20 307
-309 308 310 284 21
-310 22 309 311 285
-311 286 23 310 312
-312 287 24 311 313
-313 1 288 25 312
0