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