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