Graph forms
for C4 [ 317, 1 ] = C_317(1,114)
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On this page are computer-accessible forms for the graph C4[ 317, 1 ] =
C_317(1,114).
(I) Following is a form readable by MAGMA:
g:=Graph<317|{ {2, 3}, {316, 317}, {314, 315}, {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}, {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}, {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}, {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}, {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},
{1, 2}, {313, 314}, {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}, {205, 206}, {201, 202}, {197, 198}, {193, 194}, {189, 190},
{185, 186}, {181, 182}, {177, 178}, {93, 94}, {89, 90}, {85, 86}, {81, 82}, {77,
78}, {73, 74}, {69, 70}, {65, 66}, {61, 62}, {57, 58}, {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}, {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}, {3, 4}, {315, 316}, {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}, {203, 204}, {195, 196}, {187,
188}, {179, 180}, {91, 92}, {83, 84}, {75, 76}, {67, 68}, {59, 60}, {11, 12},
{19, 20}, {27, 28}, {35, 36}, {43, 44}, {51, 52}, {99, 100}, {107, 108}, {115,
116}, {123, 124}, {131, 132}, {139, 140}, {147, 148}, {155, 156}, {163, 164},
{171, 172}, {7, 8}, {311, 312}, {295, 296}, {279, 280}, {263, 264}, {247, 248},
{231, 232}, {215, 216}, {199, 200}, {183, 184}, {87, 88}, {71, 72}, {55, 56},
{23, 24}, {39, 40}, {103, 104}, {119, 120}, {135, 136}, {151, 152}, {167, 168},
{15, 16}, {303, 304}, {271, 272}, {239, 240}, {207, 208}, {79, 80}, {47, 48},
{111, 112}, {143, 144}, {175, 176}, {31, 32}, {287, 288}, {223, 224}, {95, 96},
{159, 160}, {1, 115}, {4, 118}, {5, 119}, {8, 122}, {9, 123}, {12, 126}, {13,
127}, {128, 242}, {129, 243}, {132, 246}, {133, 247}, {136, 250}, {137, 251},
{140, 254}, {141, 255}, {2, 116}, {3, 117}, {10, 124}, {11, 125}, {130, 244},
{131, 245}, {138, 252}, {139, 253}, {6, 120}, {7, 121}, {134, 248}, {135, 249},
{63, 64}, {191, 192}, {14, 128}, {94, 208}, {79, 193}, {78, 192}, {63, 177},
{62, 176}, {15, 129}, {30, 144}, {31, 145}, {46, 160}, {47, 161}, {95, 209},
{110, 224}, {111, 225}, {126, 240}, {127, 241}, {16, 130}, {93, 207}, {92, 206},
{89, 203}, {88, 202}, {85, 199}, {84, 198}, {81, 195}, {80, 194}, {61, 175},
{60, 174}, {57, 171}, {56, 170}, {17, 131}, {20, 134}, {21, 135}, {24, 138},
{25, 139}, {28, 142}, {29, 143}, {48, 162}, {49, 163}, {52, 166}, {53, 167},
{112, 226}, {113, 227}, {116, 230}, {117, 231}, {120, 234}, {121, 235}, {124,
238}, {125, 239}, {18, 132}, {91, 205}, {90, 204}, {83, 197}, {82, 196}, {59,
173}, {58, 172}, {19, 133}, {26, 140}, {27, 141}, {50, 164}, {51, 165}, {114,
228}, {115, 229}, {122, 236}, {123, 237}, {22, 136}, {87, 201}, {86, 200}, {55,
169}, {54, 168}, {23, 137}, {118, 232}, {119, 233}, {32, 146}, {33, 147}, {36,
150}, {37, 151}, {40, 154}, {41, 155}, {44, 158}, {45, 159}, {96, 210}, {97,
211}, {100, 214}, {101, 215}, {104, 218}, {105, 219}, {108, 222}, {109, 223},
{34, 148}, {35, 149}, {42, 156}, {43, 157}, {98, 212}, {99, 213}, {106, 220},
{107, 221}, {38, 152}, {39, 153}, {102, 216}, {103, 217}, {4, 207}, {16, 219},
{20, 223}, {32, 235}, {36, 239}, {48, 251}, {52, 255}, {1, 204}, {3, 206}, {17,
220}, {19, 222}, {33, 236}, {35, 238}, {49, 252}, {51, 254}, {2, 205}, {18,
221}, {34, 237}, {50, 253}, {5, 208}, {7, 210}, {13, 216}, {15, 218}, {37, 240},
{39, 242}, {45, 248}, {47, 250}, {6, 209}, {14, 217}, {38, 241}, {46, 249}, {8,
211}, {12, 215}, {40, 243}, {44, 247}, {9, 212}, {11, 214}, {41, 244}, {43,
246}, {10, 213}, {42, 245}, {64, 178}, {77, 191}, {76, 190}, {73, 187}, {72,
186}, {69, 183}, {68, 182}, {65, 179}, {21, 224}, {23, 226}, {29, 232}, {31,
234}, {66, 180}, {75, 189}, {74, 188}, {67, 181}, {22, 225}, {30, 233}, {24,
227}, {28, 231}, {25, 228}, {27, 230}, {70, 184}, {71, 185}, {26, 229}, {127,
128}, {53, 256}, {63, 266}, {61, 264}, {55, 258}, {54, 257}, {62, 265}, {56,
259}, {60, 263}, {1, 317}, {57, 260}, {59, 262}, {58, 261}, {64, 267}, {84,
287}, {80, 283}, {68, 271}, {96, 299}, {100, 303}, {112, 315}, {65, 268}, {83,
286}, {81, 284}, {67, 270}, {97, 300}, {99, 302}, {113, 316}, {66, 269}, {82,
285}, {98, 301}, {114, 317}, {69, 272}, {79, 282}, {77, 280}, {71, 274}, {101,
304}, {103, 306}, {109, 312}, {111, 314}, {70, 273}, {78, 281}, {102, 305},
{110, 313}, {72, 275}, {76, 279}, {104, 307}, {108, 311}, {73, 276}, {75, 278},
{105, 308}, {107, 310}, {74, 277}, {106, 309}, {85, 288}, {93, 296}, {87, 290},
{95, 298}, {86, 289}, {94, 297}, {88, 291}, {92, 295}, {89, 292}, {91, 294},
{90, 293}, {142, 256}, {191, 305}, {190, 304}, {143, 257}, {158, 272}, {159,
273}, {174, 288}, {175, 289}, {144, 258}, {189, 303}, {188, 302}, {185, 299},
{184, 298}, {181, 295}, {180, 294}, {177, 291}, {176, 290}, {145, 259}, {148,
262}, {149, 263}, {152, 266}, {153, 267}, {156, 270}, {157, 271}, {146, 260},
{187, 301}, {186, 300}, {179, 293}, {178, 292}, {147, 261}, {154, 268}, {155,
269}, {150, 264}, {183, 297}, {182, 296}, {151, 265}, {160, 274}, {161, 275},
{164, 278}, {165, 279}, {168, 282}, {169, 283}, {172, 286}, {173, 287}, {162,
276}, {163, 277}, {170, 284}, {171, 285}, {166, 280}, {167, 281}, {192, 306},
{201, 315}, {200, 314}, {197, 311}, {196, 310}, {193, 307}, {194, 308}, {203,
317}, {202, 316}, {195, 309}, {198, 312}, {199, 313}, {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, 115, 317, 204)(3, 229, 316, 90)(4, 26, 315, 293)(5, 140, 314, 179)(6,
254, 313, 65)(7, 51, 312, 268)(8, 165, 311, 154)(9, 279, 310, 40)(10, 76, 309,
243)(11, 190, 308, 129)(12, 304, 307, 15)(13, 101, 306, 218)(14, 215, 305,
104)(16, 126, 303, 193)(17, 240, 302, 79)(18, 37, 301, 282)(19, 151, 300,
168)(20, 265, 299, 54)(21, 62, 298, 257)(22, 176, 297, 143)(23, 290, 296,
29)(24, 87, 295, 232)(25, 201, 294, 118)(27, 112, 292, 207)(28, 226, 291,
93)(30, 137, 289, 182)(31, 251, 288, 68)(32, 48, 287, 271)(33, 162, 286,
157)(34, 276, 285, 43)(35, 73, 284, 246)(36, 187, 283, 132)(38, 98, 281,
221)(39, 212, 280, 107)(41, 123, 278, 196)(42, 237, 277, 82)(44, 148, 275,
171)(45, 262, 274, 57)(46, 59, 273, 260)(47, 173, 272, 146)(49, 84, 270,
235)(50, 198, 269, 121)(52, 109, 267, 210)(53, 223, 266, 96)(55, 134, 264,
185)(56, 248, 263, 71)(58, 159, 261, 160)(60, 70, 259, 249)(61, 184, 258,
135)(63, 95, 256, 224)(64, 209, 255, 110)(66, 120, 253, 199)(67, 234, 252,
85)(69, 145, 250, 174)(72, 170, 247, 149)(74, 81, 245, 238)(75, 195, 244,
124)(77, 106, 242, 213)(78, 220, 241, 99)(80, 131, 239, 188)(83, 156, 236,
163)(86, 181, 233, 138)(88, 92, 231, 227)(89, 206, 230, 113)(91, 117, 228,
202)(94, 142, 225, 177)(97, 167, 222, 152)(100, 192, 219, 127)(102, 103, 217,
216)(105, 128, 214, 191)(108, 153, 211, 166)(111, 178, 208, 141)(114, 203, 205,
116)(119, 139, 200, 180)(122, 164, 197, 155)(125, 189, 194, 130)(133, 150, 186,
169)(136, 175, 183, 144)(147, 161, 172, 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, 314, 315, 316, 317)
C4[ 317, 1 ]
317
-1 2 115 204 317
-2 1 3 116 205
-3 2 4 117 206
-4 3 5 118 207
-5 4 6 119 208
-6 209 5 7 120
-7 121 210 6 8
-8 122 211 7 9
-9 123 212 8 10
-10 11 124 213 9
-11 12 125 214 10
-12 11 13 126 215
-13 12 14 127 216
-14 13 15 128 217
-15 14 16 129 218
-16 15 17 130 219
-17 220 16 18 131
-18 132 221 17 19
-19 133 222 18 20
-20 134 223 19 21
-21 22 135 224 20
-22 23 136 225 21
-23 22 24 137 226
-24 23 25 138 227
-25 24 26 139 228
-26 25 27 140 229
-27 26 28 141 230
-28 231 27 29 142
-29 143 232 28 30
-30 144 233 29 31
-31 145 234 30 32
-32 33 146 235 31
-33 34 147 236 32
-34 33 35 148 237
-35 34 36 149 238
-36 35 37 150 239
-37 36 38 151 240
-38 37 39 152 241
-39 242 38 40 153
-40 154 243 39 41
-41 155 244 40 42
-42 156 245 41 43
-43 44 157 246 42
-44 45 158 247 43
-45 44 46 159 248
-46 45 47 160 249
-47 46 48 161 250
-48 47 49 162 251
-49 48 50 163 252
-50 253 49 51 164
-51 165 254 50 52
-52 166 255 51 53
-53 167 256 52 54
-54 55 168 257 53
-55 56 169 258 54
-56 55 57 170 259
-57 56 58 171 260
-58 57 59 172 261
-59 58 60 173 262
-60 59 61 174 263
-61 264 60 62 175
-62 176 265 61 63
-63 177 266 62 64
-64 178 267 63 65
-65 66 179 268 64
-66 67 180 269 65
-67 66 68 181 270
-68 67 69 182 271
-69 68 70 183 272
-70 69 71 184 273
-71 70 72 185 274
-72 275 71 73 186
-73 187 276 72 74
-74 188 277 73 75
-75 189 278 74 76
-76 77 190 279 75
-77 78 191 280 76
-78 77 79 192 281
-79 78 80 193 282
-80 79 81 194 283
-81 80 82 195 284
-82 81 83 196 285
-83 286 82 84 197
-84 198 287 83 85
-85 199 288 84 86
-86 200 289 85 87
-87 88 201 290 86
-88 89 202 291 87
-89 88 90 203 292
-90 89 91 204 293
-91 90 92 205 294
-92 91 93 206 295
-93 92 94 207 296
-94 297 93 95 208
-95 209 298 94 96
-96 210 299 95 97
-97 211 300 96 98
-98 99 212 301 97
-99 100 213 302 98
-100 99 101 214 303
-101 100 102 215 304
-102 101 103 216 305
-103 102 104 217 306
-104 103 105 218 307
-105 308 104 106 219
-106 220 309 105 107
-107 221 310 106 108
-108 222 311 107 109
-109 110 223 312 108
-110 111 224 313 109
-111 110 112 225 314
-112 111 113 226 315
-113 112 114 227 316
-114 113 115 228 317
-115 1 114 116 229
-116 2 115 117 230
-117 231 3 116 118
-118 232 4 117 119
-119 233 5 118 120
-120 121 234 6 119
-121 122 235 7 120
-122 121 123 236 8
-123 122 124 237 9
-124 123 125 238 10
-125 11 124 126 239
-126 12 125 127 240
-127 13 126 128 241
-128 242 14 127 129
-129 243 15 128 130
-130 244 16 129 131
-131 132 245 17 130
-132 133 246 18 131
-133 132 134 247 19
-134 133 135 248 20
-135 134 136 249 21
-136 22 135 137 250
-137 23 136 138 251
-138 24 137 139 252
-139 253 25 138 140
-140 254 26 139 141
-141 255 27 140 142
-142 143 256 28 141
-143 144 257 29 142
-144 143 145 258 30
-145 144 146 259 31
-146 145 147 260 32
-147 33 146 148 261
-148 34 147 149 262
-149 35 148 150 263
-150 264 36 149 151
-151 265 37 150 152
-152 266 38 151 153
-153 154 267 39 152
-154 155 268 40 153
-155 154 156 269 41
-156 155 157 270 42
-157 156 158 271 43
-158 44 157 159 272
-159 45 158 160 273
-160 46 159 161 274
-161 275 47 160 162
-162 276 48 161 163
-163 277 49 162 164
-164 165 278 50 163
-165 166 279 51 164
-166 165 167 280 52
-167 166 168 281 53
-168 167 169 282 54
-169 55 168 170 283
-170 56 169 171 284
-171 57 170 172 285
-172 286 58 171 173
-173 287 59 172 174
-174 288 60 173 175
-175 176 289 61 174
-176 177 290 62 175
-177 176 178 291 63
-178 177 179 292 64
-179 178 180 293 65
-180 66 179 181 294
-181 67 180 182 295
-182 68 181 183 296
-183 297 69 182 184
-184 298 70 183 185
-185 299 71 184 186
-186 187 300 72 185
-187 188 301 73 186
-188 187 189 302 74
-189 188 190 303 75
-190 189 191 304 76
-191 77 190 192 305
-192 78 191 193 306
-193 79 192 194 307
-194 308 80 193 195
-195 309 81 194 196
-196 310 82 195 197
-197 198 311 83 196
-198 199 312 84 197
-199 198 200 313 85
-200 199 201 314 86
-201 200 202 315 87
-202 88 201 203 316
-203 89 202 204 317
-204 1 90 203 205
-205 2 91 204 206
-206 3 92 205 207
-207 4 93 206 208
-208 209 5 94 207
-209 210 6 95 208
-210 209 211 7 96
-211 210 212 8 97
-212 211 213 9 98
-213 99 212 214 10
-214 11 100 213 215
-215 12 101 214 216
-216 13 102 215 217
-217 14 103 216 218
-218 15 104 217 219
-219 220 16 105 218
-220 221 17 106 219
-221 220 222 18 107
-222 221 223 19 108
-223 222 224 20 109
-224 110 223 225 21
-225 22 111 224 226
-226 23 112 225 227
-227 24 113 226 228
-228 25 114 227 229
-229 26 115 228 230
-230 231 27 116 229
-231 232 28 117 230
-232 231 233 29 118
-233 232 234 30 119
-234 233 235 31 120
-235 121 234 236 32
-236 33 122 235 237
-237 34 123 236 238
-238 35 124 237 239
-239 36 125 238 240
-240 37 126 239 241
-241 242 38 127 240
-242 243 39 128 241
-243 242 244 40 129
-244 243 245 41 130
-245 244 246 42 131
-246 132 245 247 43
-247 44 133 246 248
-248 45 134 247 249
-249 46 135 248 250
-250 47 136 249 251
-251 48 137 250 252
-252 253 49 138 251
-253 254 50 139 252
-254 253 255 51 140
-255 254 256 52 141
-256 255 257 53 142
-257 143 256 258 54
-258 55 144 257 259
-259 56 145 258 260
-260 57 146 259 261
-261 58 147 260 262
-262 59 148 261 263
-263 264 60 149 262
-264 265 61 150 263
-265 264 266 62 151
-266 265 267 63 152
-267 266 268 64 153
-268 154 267 269 65
-269 66 155 268 270
-270 67 156 269 271
-271 68 157 270 272
-272 69 158 271 273
-273 70 159 272 274
-274 275 71 160 273
-275 276 72 161 274
-276 275 277 73 162
-277 276 278 74 163
-278 277 279 75 164
-279 165 278 280 76
-280 77 166 279 281
-281 78 167 280 282
-282 79 168 281 283
-283 80 169 282 284
-284 81 170 283 285
-285 286 82 171 284
-286 287 83 172 285
-287 286 288 84 173
-288 287 289 85 174
-289 288 290 86 175
-290 176 289 291 87
-291 88 177 290 292
-292 89 178 291 293
-293 90 179 292 294
-294 91 180 293 295
-295 92 181 294 296
-296 297 93 182 295
-297 298 94 183 296
-298 297 299 95 184
-299 298 300 96 185
-300 299 301 97 186
-301 187 300 302 98
-302 99 188 301 303
-303 100 189 302 304
-304 101 190 303 305
-305 102 191 304 306
-306 103 192 305 307
-307 308 104 193 306
-308 309 105 194 307
-309 308 310 106 195
-310 309 311 107 196
-311 310 312 108 197
-312 198 311 313 109
-313 110 199 312 314
-314 111 200 313 315
-315 112 201 314 316
-316 113 202 315 317
-317 1 114 203 316
0