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