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