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