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