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