Graph forms
for C4 [ 320, 101 ] = UG(ATD[320,105])
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On this page are computer-accessible forms for the graph C4[ 320, 101 ] =
UG(ATD[320,105]).
(I) Following is a form readable by MAGMA:
g:=Graph<320|{ {240, 241}, {312, 313}, {244, 246}, {317, 319}, {245, 247}, {1,
2}, {316, 319}, {237, 238}, {73, 74}, {109, 110}, {133, 134}, {104, 108}, {194,
198}, {1, 4}, {2, 7}, {267, 269}, {1, 6}, {184, 191}, {115, 116}, {64, 72},
{198, 206}, {130, 138}, {196, 205}, {17, 27}, {295, 301}, {294, 300}, {226,
232}, {114, 120}, {147, 153}, {149, 159}, {3, 8}, {308, 319}, {229, 238}, {54,
61}, {135, 140}, {3, 15}, {310, 314}, {305, 317}, {5, 9}, {135, 139}, {211,
222}, {34, 44}, {311, 313}, {304, 318}, {178, 188}, {134, 136}, {1, 14}, {227,
236}, {33, 46}, {16, 31}, {116, 123}, {290, 306}, {292, 308}, {41, 56}, {40,
58}, {289, 307}, {4, 23}, {206, 221}, {15, 28}, {12, 31}, {8, 27}, {4, 16},
{231, 243}, {230, 242}, {5, 17}, {162, 182}, {3, 22}, {11, 30}, {9, 28}, {12,
26}, {297, 319}, {291, 309}, {2, 21}, {197, 210}, {10, 29}, {132, 147}, {271,
279}, {46, 52}, {166, 189}, {298, 310}, {299, 311}, {5, 24}, {224, 253}, {96,
125}, {71, 90}, {7, 26}, {6, 25}, {30, 62}, {266, 298}, {150, 182}, {271, 302},
{223, 253}, {276, 310}, {265, 299}, {92, 127}, {93, 126}, {273, 308}, {217,
255}, {71, 96}, {214, 241}, {208, 248}, {209, 249}, {18, 56}, {19, 57}, {284,
311}, {90, 118}, {274, 318}, {13, 32}, {215, 250}, {88, 117}, {159, 178}, {20,
58}, {280, 311}, {139, 187}, {140, 188}, {152, 168}, {19, 34}, {207, 254}, {2,
48}, {286, 300}, {285, 303}, {276, 294}, {3, 49}, {18, 33}, {263, 308}, {203,
248}, {76, 127}, {29, 41}, {282, 302}, {202, 254}, {138, 191}, {272, 293}, {264,
317}, {204, 249}, {4, 50}, {283, 301}, {5, 51}, {148, 162}, {20, 35}, {216,
239}, {6, 63}, {263, 318}, {220, 229}, {192, 249}, {14, 55}, {68, 126}, {258,
312}, {77, 119}, {13, 54}, {133, 190}, {70, 122}, {143, 179}, {152, 164}, {264,
309}, {10, 52}, {80, 110}, {11, 53}, {151, 169}, {159, 160}, {280, 295}, {262,
313}, {261, 314}, {219, 228}, {20, 87}, {188, 248}, {32, 101}, {165, 224}, {161,
231}, {7, 64}, {55, 112}, {23, 80}, {15, 72}, {136, 192}, {151, 223}, {8, 65},
{190, 247}, {24, 81}, {14, 71}, {12, 69}, {10, 67}, {9, 66}, {25, 82}, {13, 70},
{183, 251}, {30, 83}, {177, 252}, {46, 96}, {47, 97}, {11, 68}, {180, 251},
{147, 195}, {11, 89}, {155, 200}, {145, 197}, {163, 247}, {143, 218}, {45, 123},
{176, 230}, {146, 196}, {47, 120}, {171, 252}, {172, 251}, {144, 200}, {174,
246}, {164, 252}, {16, 73}, {59, 98}, {22, 79}, {20, 77}, {18, 75}, {156, 197},
{62, 100}, {158, 196}, {17, 74}, {21, 78}, {129, 221}, {187, 231}, {131, 222},
{12, 82}, {19, 76}, {60, 99}, {59, 100}, {17, 113}, {185, 217}, {54, 86}, {53,
85}, {49, 81}, {36, 70}, {143, 237}, {176, 212}, {161, 199}, {153, 241}, {296,
320}, {167, 207}, {180, 221}, {38, 76}, {63, 85}, {57, 83}, {163, 201}, {37,
78}, {58, 84}, {128, 238}, {129, 239}, {13, 98}, {177, 222}, {138, 229}, {165,
202}, {19, 99}, {41, 91}, {55, 69}, {45, 95}, {44, 94}, {131, 241}, {25, 106},
{36, 87}, {128, 243}, {32, 84}, {35, 86}, {309, 320}, {181, 192}, {42, 92}, {59,
77}, {43, 93}, {34, 85}, {130, 245}, {150, 225}, {60, 68}, {152, 224}, {167,
223}, {36, 94}, {154, 225}, {315, 320}, {174, 213}, {51, 79}, {175, 211}, {37,
88}, {39, 90}, {149, 232}, {150, 235}, {131, 253}, {318, 320}, {38, 89}, {173,
210}, {129, 254}, {168, 215}, {36, 164}, {40, 168}, {39, 167}, {38, 166}, {37,
165}, {108, 236}, {114, 242}, {116, 244}, {28, 157}, {43, 170}, {6, 132}, {97,
227}, {33, 163}, {10, 136}, {7, 133}, {42, 169}, {51, 176}, {47, 172}, {60,
184}, {61, 185}, {112, 244}, {116, 240}, {15, 138}, {63, 186}, {54, 179}, {52,
177}, {26, 159}, {109, 232}, {24, 158}, {45, 171}, {44, 170}, {14, 137}, {53,
178}, {22, 156}, {23, 157}, {75, 192}, {56, 180}, {59, 183}, {58, 182}, {57,
181}, {32, 173}, {34, 175}, {8, 134}, {21, 155}, {9, 135}, {78, 193}, {33, 176},
{49, 163}, {80, 194}, {51, 161}, {56, 171}, {79, 218}, {113, 228}, {62, 169},
{52, 172}, {106, 242}, {95, 199}, {94, 198}, {93, 197}, {92, 196}, {91, 195},
{16, 139}, {105, 245}, {111, 243}, {115, 239}, {48, 173}, {50, 175}, {18, 140},
{49, 174}, {117, 212}, {119, 214}, {23, 181}, {117, 215}, {122, 216}, {112,
211}, {118, 213}, {127, 220}, {48, 148}, {106, 206}, {105, 205}, {79, 235},
{107, 207}, {124, 217}, {126, 219}, {21, 179}, {71, 225}, {68, 226}, {40, 143},
{50, 149}, {125, 218}, {37, 141}, {97, 201}, {96, 200}, {124, 212}, {39, 142},
{61, 150}, {103, 204}, {121, 213}, {102, 203}, {121, 215}, {76, 227}, {101,
202}, {118, 217}, {81, 225}, {102, 214}, {123, 201}, {29, 174}, {39, 148}, {35,
151}, {92, 228}, {93, 229}, {41, 144}, {43, 146}, {27, 160}, {103, 220}, {75,
240}, {42, 145}, {29, 161}, {81, 237}, {80, 236}, {108, 208}, {109, 209}, {31,
162}, {102, 219}, {95, 226}, {46, 147}, {111, 210}, {103, 216}, {120, 199}, {57,
248}, {91, 154}, {77, 142}, {109, 169}, {112, 180}, {108, 170}, {66, 136}, {70,
141}, {103, 172}, {100, 175}, {53, 249}, {113, 189}, {65, 140}, {102, 171},
{101, 170}, {55, 230}, {88, 137}, {111, 190}, {104, 186}, {105, 187}, {107,
185}, {63, 234}, {26, 194}, {30, 198}, {106, 177}, {107, 183}, {61, 224}, {31,
193}, {86, 137}, {45, 204}, {24, 250}, {115, 144}, {47, 203}, {40, 207}, {22,
255}, {114, 153}, {25, 246}, {111, 158}, {113, 128}, {44, 223}, {62, 202}, {72,
189}, {105, 156}, {74, 191}, {119, 129}, {73, 190}, {121, 128}, {122, 131}, {42,
208}, {43, 209}, {64, 187}, {117, 142}, {118, 141}, {104, 149}, {124, 130}, {67,
188}, {27, 265}, {28, 266}, {35, 267}, {38, 268}, {60, 269}, {50, 261}, {48,
266}, {84, 276}, {88, 281}, {89, 283}, {91, 281}, {97, 290}, {83, 279}, {89,
285}, {90, 284}, {84, 284}, {82, 281}, {87, 283}, {87, 282}, {82, 284}, {86,
280}, {126, 305}, {127, 304}, {94, 270}, {67, 274}, {73, 280}, {69, 279}, {64,
276}, {66, 278}, {65, 277}, {119, 291}, {123, 288}, {66, 287}, {125, 288}, {122,
292}, {69, 293}, {83, 307}, {114, 274}, {65, 288}, {110, 271}, {78, 301}, {107,
264}, {85, 306}, {120, 287}, {101, 269}, {124, 278}, {125, 278}, {74, 294},
{121, 277}, {72, 295}, {67, 305}, {104, 282}, {110, 285}, {100, 272}, {99, 282},
{75, 304}, {98, 286}, {99, 286}, {115, 270}, {95, 289}, {98, 285}, {184, 316},
{154, 287}, {153, 272}, {165, 300}, {132, 270}, {145, 283}, {160, 298}, {167,
301}, {132, 271}, {146, 286}, {154, 277}, {166, 297}, {184, 296}, {130, 273},
{186, 303}, {155, 257}, {162, 312}, {151, 268}, {157, 256}, {166, 315}, {152,
263}, {186, 293}, {155, 314}, {173, 268}, {135, 290}, {181, 275}, {134, 289},
{142, 292}, {168, 259}, {141, 291}, {189, 269}, {179, 258}, {178, 256}, {160,
275}, {191, 268}, {156, 296}, {164, 272}, {144, 293}, {146, 295}, {157, 299},
{133, 306}, {182, 257}, {145, 294}, {158, 297}, {139, 307}, {148, 300}, {183,
270}, {185, 260}, {137, 310}, {234, 299}, {218, 281}, {233, 298}, {194, 262},
{195, 261}, {205, 267}, {205, 266}, {193, 265}, {235, 291}, {201, 256}, {237,
292}, {193, 267}, {232, 290}, {206, 261}, {236, 289}, {240, 317}, {200, 262},
{233, 313}, {234, 314}, {254, 303}, {214, 260}, {250, 296}, {242, 288}, {227,
305}, {226, 304}, {253, 302}, {199, 275}, {213, 257}, {211, 262}, {212, 258},
{255, 297}, {219, 259}, {220, 260}, {234, 307}, {210, 265}, {238, 309}, {233,
306}, {216, 259}, {245, 277}, {247, 275}, {243, 278}, {230, 257}, {231, 256},
{208, 315}, {244, 287}, {209, 316}, {222, 303}, {221, 302}, {246, 258}, {252,
264}, {228, 273}, {203, 316}, {204, 315}, {235, 273}, {195, 312}, {251, 263},
{255, 259}, {239, 274}, {233, 279}, {250, 260} }>;
(II) A more general form is to represent the graph as the orbit of {240, 241}
under the group generated by the following permutations:
a: (1, 2, 48, 173, 268, 38, 76, 227, 97, 201, 163, 49, 81, 237, 292, 122, 131,
222, 211, 262, 313, 311, 280, 295, 146, 43, 209, 249, 192, 136, 66, 278, 124,
217, 185, 107, 183, 270, 132, 6)(3, 24, 238, 308, 216, 241, 177, 112, 200, 312,
284, 86, 301, 286, 170, 109, 53, 181, 134, 9, 243, 130, 255, 260, 264, 251, 115,
147, 25, 14, 21, 148, 32, 151, 89, 19, 236, 290, 256, 247)(4, 7, 266, 210, 191,
166, 127, 305, 47, 123, 33, 174, 225, 143, 142, 70, 253, 303, 175, 194, 233,
299, 73, 72, 196, 93, 316, 204, 75, 10, 287, 125, 212, 118, 61, 207, 59, 94,
271, 63)(5, 128, 273, 259, 214, 252, 180, 144, 195, 82, 137, 78, 300, 101, 169,
11, 57, 289, 135, 231, 245, 22, 250, 309, 263, 239, 153, 106, 55, 155, 162, 84,
35, 283, 99, 108, 232, 178, 275, 8)(12, 310, 193, 294, 269, 42, 68, 248, 95,
140, 161, 277, 79, 215, 291, 152, 129, 272, 206, 69, 314, 31, 276, 267, 145, 60,
208, 226, 188, 199, 65, 51, 121, 235, 168, 119, 164, 221, 293, 261)(13, 223,
285, 34, 80, 306, 157, 190, 15, 158, 229, 319, 103, 240, 52, 244, 96, 258, 90,
54, 167, 98, 44, 110, 85, 23, 133, 28, 111, 138, 297, 220, 317, 172, 116, 46,
246, 71, 179, 39)(16, 64, 205, 197, 184, 315, 304, 67, 120, 288, 176, 213, 150,
40, 77, 36, 302, 186, 50, 26, 298, 265, 74, 189, 92, 126, 203, 45, 18, 29, 154,
218, 117, 141, 224, 254, 100, 198, 279, 234)(17, 113, 228, 219, 102, 171, 56,
41, 91, 281, 88, 37, 165, 202, 62, 30, 83, 307, 139, 187, 105, 156, 296, 320,
318, 274, 114, 242, 230, 257, 182, 58, 20, 87, 282, 104, 149, 159, 160, 27) (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, 14, 6, 4)(3, 77, 10, 169)(5, 207, 18, 89)(7, 137, 25, 50)(8, 20, 29,
62)(9, 167, 33, 285)(11, 17, 40, 56)(12, 314)(13, 287, 44, 247)(15, 142, 52,
109)(16, 21, 55, 63)(19, 111, 61, 116)(22, 119, 67, 42)(23, 48, 71, 132)(24,
107, 75, 38)(26, 310, 82, 261)(27, 58, 41, 30)(28, 39, 46, 110)(31, 155, 69,
234)(32, 154, 94, 275)(34, 190, 54, 244)(35, 174, 100, 134)(36, 199, 101,
277)(37, 242, 104, 187)(43, 130, 122, 47)(45, 60, 128, 152)(49, 59, 136,
151)(51, 254, 140, 283)(53, 74, 143, 180)(57, 210, 150, 115)(64, 88, 106,
149)(65, 87, 161, 202)(66, 223, 163, 98)(68, 113, 168, 171)(70, 120, 170,
245)(72, 117, 177, 232)(73, 179, 112, 85)(76, 158, 185, 240)(78, 230, 186,
139)(79, 129, 188, 145)(80, 266, 90, 147)(81, 183, 192, 268)(83, 265, 182,
144)(84, 91, 198, 160)(86, 246, 175, 133)(92, 255, 214, 305)(93, 273, 216,
203)(95, 269, 121, 164)(96, 271, 157, 148)(97, 146, 124, 131)(99, 243, 224,
123)(102, 126, 228, 259)(103, 316, 229, 308)(105, 141, 114, 108)(118, 153, 236,
205)(125, 302, 256, 300)(127, 297, 260, 317)(135, 301, 176, 303)(138, 292, 172,
209)(156, 291, 274, 208)(159, 276, 281, 206)(162, 200, 279, 299)(165, 288, 282,
231)(166, 250, 264, 304)(173, 225, 270, 181)(178, 294, 218, 221)(184, 238, 263,
204)(189, 215, 252, 226)(191, 237, 251, 249)(193, 257, 293, 307)(194, 298, 284,
195)(196, 217, 241, 227)(197, 235, 239, 248)(201, 286, 278, 253)(211, 306, 280,
258)(212, 222, 290, 295)(213, 272, 289, 267)(220, 319)(233, 311, 312, 262)(296,
309, 318, 315)
C4[ 320, 101 ]
320
-1 2 14 4 6
-2 1 48 7 21
-3 22 15 49 8
-4 1 23 16 50
-5 24 17 51 9
-6 132 1 25 63
-7 133 2 26 64
-8 134 3 27 65
-9 66 135 5 28
-10 67 136 29 52
-11 89 68 30 53
-12 69 26 82 31
-13 70 32 54 98
-14 55 1 71 137
-15 3 28 72 138
-16 4 73 139 31
-17 113 5 27 74
-18 33 56 140 75
-19 99 34 57 76
-20 77 35 58 87
-21 78 155 2 179
-22 79 156 255 3
-23 80 157 4 181
-24 81 158 5 250
-25 246 82 6 106
-26 12 159 7 194
-27 265 17 160 8
-28 266 157 15 9
-29 161 41 174 10
-30 11 198 83 62
-31 12 16 193 162
-32 13 101 84 173
-33 176 46 18 163
-34 44 19 85 175
-35 267 151 20 86
-36 70 94 87 164
-37 88 165 78 141
-38 89 166 268 76
-39 90 167 148 142
-40 143 58 168 207
-41 56 144 91 29
-42 145 92 169 208
-43 209 146 93 170
-44 34 223 170 94
-45 123 171 204 95
-46 33 147 52 96
-47 203 172 97 120
-48 2 266 148 173
-49 3 81 163 174
-50 4 149 261 175
-51 176 79 5 161
-52 177 46 172 10
-53 11 178 249 85
-54 13 179 61 86
-55 112 14 69 230
-56 180 171 18 41
-57 181 83 248 19
-58 182 40 84 20
-59 77 100 183 98
-60 99 68 269 184
-61 224 150 185 54
-62 100 169 202 30
-63 234 6 85 186
-64 187 276 72 7
-65 277 288 8 140
-66 287 278 136 9
-67 188 305 10 274
-68 11 60 126 226
-69 55 12 279 293
-70 122 13 36 141
-71 90 14 225 96
-72 189 15 64 295
-73 190 16 280 74
-74 191 17 73 294
-75 192 18 304 240
-76 38 127 227 19
-77 59 20 119 142
-78 37 301 193 21
-79 22 235 51 218
-80 110 23 236 194
-81 24 49 225 237
-82 12 25 281 284
-83 57 279 30 307
-84 276 58 284 32
-85 34 63 53 306
-86 35 137 280 54
-87 36 282 283 20
-88 37 137 281 117
-89 11 38 283 285
-90 71 39 118 284
-91 154 281 41 195
-92 127 228 42 196
-93 126 229 43 197
-94 44 198 36 270
-95 45 199 289 226
-96 46 200 125 71
-97 47 201 290 227
-98 286 13 59 285
-99 286 60 282 19
-100 59 62 272 175
-101 202 170 269 32
-102 203 214 171 219
-103 220 204 172 216
-104 149 282 108 186
-105 187 156 245 205
-106 242 177 25 206
-107 264 183 185 207
-108 104 170 236 208
-109 110 209 232 169
-110 80 271 109 285
-111 210 243 190 158
-112 55 211 244 180
-113 189 17 128 228
-114 242 120 153 274
-115 144 116 270 239
-116 123 244 115 240
-117 88 212 215 142
-118 90 213 217 141
-119 77 214 291 129
-120 199 287 47 114
-121 277 213 215 128
-122 70 292 216 131
-123 45 288 201 116
-124 212 278 217 130
-125 288 278 96 218
-126 68 93 305 219
-127 220 92 304 76
-128 121 243 113 238
-129 221 254 239 119
-130 124 245 138 273
-131 253 122 222 241
-132 147 6 270 271
-133 134 190 7 306
-134 133 289 136 8
-135 290 139 140 9
-136 66 134 192 10
-137 88 310 14 86
-138 15 191 130 229
-139 187 135 16 307
-140 188 135 18 65
-141 37 70 291 118
-142 77 39 292 117
-143 179 237 40 218
-144 200 115 293 41
-145 283 294 42 197
-146 286 196 295 43
-147 132 46 195 153
-148 300 48 39 162
-149 232 104 159 50
-150 235 225 61 182
-151 35 223 169 268
-152 168 224 164 263
-153 114 147 272 241
-154 287 277 91 225
-155 200 257 314 21
-156 22 105 197 296
-157 23 299 256 28
-158 297 111 24 196
-159 178 26 149 160
-160 275 298 27 159
-161 231 199 29 51
-162 312 148 182 31
-163 33 201 49 247
-164 36 272 152 252
-165 300 37 202 224
-166 297 189 38 315
-167 223 301 39 207
-168 215 259 40 152
-169 62 151 42 109
-170 44 101 108 43
-171 45 56 102 252
-172 47 103 52 251
-173 210 48 268 32
-174 213 246 49 29
-175 34 100 211 50
-176 33 212 51 230
-177 222 106 52 252
-178 188 256 159 53
-179 143 258 21 54
-180 56 221 112 251
-181 275 23 57 192
-182 58 257 150 162
-183 59 270 107 251
-184 191 60 316 296
-185 61 260 107 217
-186 104 303 293 63
-187 231 105 139 64
-188 67 178 248 140
-189 166 113 269 72
-190 111 133 247 73
-191 268 138 74 184
-192 136 181 249 75
-193 78 265 267 31
-194 198 80 26 262
-195 91 147 312 261
-196 146 92 158 205
-197 210 145 156 93
-198 94 194 30 206
-199 275 95 161 120
-200 144 155 96 262
-201 123 256 97 163
-202 165 254 101 62
-203 47 102 248 316
-204 45 103 249 315
-205 266 267 105 196
-206 198 221 106 261
-207 254 167 40 107
-208 248 315 42 108
-209 249 316 43 109
-210 111 265 173 197
-211 112 222 262 175
-212 176 124 258 117
-213 121 257 118 174
-214 102 260 119 241
-215 121 168 117 250
-216 122 103 259 239
-217 255 124 118 185
-218 143 79 125 281
-219 102 126 259 228
-220 103 127 260 229
-221 180 302 129 206
-222 177 211 303 131
-223 44 253 167 151
-224 165 253 61 152
-225 154 81 71 150
-226 232 68 95 304
-227 236 305 97 76
-228 113 92 273 219
-229 220 93 138 238
-230 55 176 242 257
-231 187 243 256 161
-232 290 149 226 109
-233 298 279 313 306
-234 299 314 63 307
-235 79 291 150 273
-236 80 289 227 108
-237 143 81 292 238
-238 309 237 128 229
-239 115 216 129 274
-240 116 75 317 241
-241 214 240 131 153
-242 288 114 106 230
-243 231 111 278 128
-244 287 112 246 116
-245 277 247 105 130
-246 244 25 258 174
-247 275 190 245 163
-248 188 57 203 208
-249 209 192 204 53
-250 24 215 260 296
-251 180 172 183 263
-252 264 177 171 164
-253 223 224 302 131
-254 202 303 129 207
-255 22 297 259 217
-256 231 178 157 201
-257 155 213 182 230
-258 179 212 246 312
-259 255 168 216 219
-260 220 214 250 185
-261 50 314 195 206
-262 200 211 313 194
-263 308 152 251 318
-264 309 107 317 252
-265 210 299 27 193
-266 298 48 28 205
-267 35 269 193 205
-268 191 38 151 173
-269 101 189 267 60
-270 132 115 94 183
-271 110 132 279 302
-272 100 293 153 164
-273 308 235 228 130
-274 67 114 239 318
-275 199 181 247 160
-276 310 84 294 64
-277 121 154 245 65
-278 66 243 124 125
-279 233 69 83 271
-280 311 73 86 295
-281 88 91 82 218
-282 99 104 302 87
-283 89 145 301 87
-284 90 311 82 84
-285 110 89 303 98
-286 99 146 300 98
-287 66 154 244 120
-288 242 123 125 65
-289 134 236 95 307
-290 232 135 97 306
-291 309 235 119 141
-292 308 122 237 142
-293 144 69 272 186
-294 276 145 300 74
-295 146 301 280 72
-296 320 156 184 250
-297 319 166 255 158
-298 233 266 310 160
-299 265 157 234 311
-300 165 286 148 294
-301 78 167 283 295
-302 253 221 271 282
-303 254 222 186 285
-304 127 226 75 318
-305 67 126 227 317
-306 133 233 290 85
-307 234 289 83 139
-308 319 292 273 263
-309 264 320 291 238
-310 276 298 137 314
-311 299 280 313 284
-312 258 313 162 195
-313 233 311 312 262
-314 155 310 234 261
-315 166 320 204 208
-316 209 319 203 184
-317 264 319 305 240
-318 320 304 263 274
-319 297 308 316 317
-320 309 315 296 318
0