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