Graph forms
for C4 [ 288, 167 ] = UG(Cmap(576,9){8,4|12}_12)
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On this page are computer-accessible forms for the graph C4[ 288, 167 ] =
UG(Cmap(576,9){8,4|12}_12).
(I) Following is a form readable by MAGMA:
g:=Graph<288|{ {2, 3}, {170, 171}, {4, 6}, {220, 222}, {1, 2}, {285, 286}, {284,
287}, {157, 158}, {112, 116}, {194, 198}, {1, 4}, {10, 15}, {8, 13}, {1, 7},
{264, 270}, {225, 231}, {3, 5}, {160, 166}, {9, 14}, {226, 229}, {74, 77}, {16,
23}, {161, 169}, {230, 238}, {17, 24}, {262, 271}, {247, 254}, {20, 29}, {36,
46}, {197, 207}, {1, 10}, {257, 266}, {193, 202}, {18, 25}, {163, 168}, {7, 11},
{272, 284}, {244, 248}, {214, 218}, {119, 123}, {5, 8}, {276, 281}, {240, 253},
{2, 12}, {278, 280}, {32, 46}, {6, 9}, {279, 280}, {275, 284}, {274, 285}, {19,
28}, {3, 19}, {73, 89}, {4, 20}, {36, 53}, {44, 61}, {42, 59}, {40, 57}, {38,
55}, {33, 51}, {65, 83}, {2, 17}, {261, 278}, {45, 62}, {41, 58}, {37, 54}, {34,
49}, {264, 284}, {134, 147}, {170, 191}, {66, 84}, {107, 125}, {35, 52}, {256,
279}, {43, 60}, {133, 146}, {67, 91}, {206, 214}, {71, 95}, {3, 26}, {268, 277},
{68, 93}, {66, 91}, {64, 89}, {15, 22}, {13, 20}, {6, 31}, {100, 125}, {257,
283}, {5, 30}, {69, 94}, {65, 90}, {14, 21}, {11, 16}, {101, 126}, {42, 54},
{260, 280}, {111, 115}, {162, 190}, {98, 127}, {268, 273}, {174, 179}, {12, 18},
{129, 159}, {4, 27}, {261, 282}, {173, 178}, {67, 92}, {39, 56}, {205, 237},
{73, 104}, {75, 106}, {148, 181}, {78, 108}, {223, 253}, {81, 115}, {79, 109},
{130, 160}, {154, 184}, {74, 105}, {216, 251}, {90, 126}, {208, 244}, {205,
233}, {203, 239}, {202, 238}, {200, 236}, {91, 127}, {88, 125}, {216, 253},
{210, 247}, {200, 237}, {82, 116}, {7, 32}, {209, 246}, {207, 232}, {76, 107},
{8, 47}, {145, 182}, {147, 180}, {80, 120}, {192, 232}, {29, 52}, {21, 63},
{195, 233}, {71, 108}, {219, 240}, {211, 248}, {199, 236}, {5, 41}, {87, 123},
{86, 122}, {85, 121}, {7, 43}, {6, 42}, {145, 188}, {269, 288}, {212, 249},
{198, 235}, {153, 180}, {144, 190}, {223, 241}, {196, 234}, {153, 183}, {212,
251}, {213, 250}, {131, 179}, {132, 180}, {129, 176}, {30, 44}, {31, 45}, {135,
181}, {138, 184}, {139, 185}, {142, 188}, {143, 189}, {130, 177}, {131, 176},
{142, 189}, {21, 32}, {29, 40}, {23, 34}, {140, 186}, {141, 187}, {157, 171},
{8, 63}, {87, 96}, {22, 33}, {142, 185}, {9, 48}, {11, 50}, {10, 49}, {207,
244}, {86, 109}, {28, 39}, {24, 35}, {64, 124}, {214, 234}, {204, 240}, {25,
36}, {285, 288}, {89, 100}, {27, 38}, {136, 182}, {137, 183}, {12, 51}, {223,
224}, {212, 235}, {70, 121}, {26, 37}, {33, 96}, {179, 242}, {34, 97}, {186,
249}, {13, 73}, {15, 75}, {14, 74}, {148, 209}, {166, 227}, {167, 225}, {129,
201}, {164, 236}, {9, 64}, {36, 109}, {11, 66}, {166, 239}, {167, 237}, {10,
65}, {171, 224}, {182, 250}, {185, 245}, {12, 67}, {149, 196}, {151, 198}, {153,
200}, {154, 203}, {155, 202}, {146, 192}, {176, 226}, {147, 193}, {150, 197},
{154, 201}, {150, 195}, {148, 194}, {138, 221}, {149, 194}, {156, 203}, {161,
246}, {172, 251}, {39, 127}, {188, 230}, {189, 231}, {16, 76}, {19, 79}, {18,
78}, {17, 77}, {42, 119}, {159, 193}, {187, 229}, {186, 228}, {23, 72}, {187,
228}, {152, 199}, {185, 217}, {186, 218}, {164, 197}, {152, 250}, {135, 228},
{169, 205}, {170, 206}, {25, 124}, {23, 112}, {63, 88}, {55, 80}, {31, 120},
{128, 232}, {24, 113}, {62, 87}, {60, 85}, {58, 83}, {56, 81}, {54, 95}, {30,
119}, {28, 117}, {26, 115}, {25, 114}, {61, 86}, {57, 82}, {47, 68}, {29, 118},
{13, 96}, {15, 98}, {14, 97}, {177, 222}, {59, 84}, {27, 116}, {56, 72}, {190,
206}, {133, 245}, {152, 234}, {165, 215}, {16, 99}, {20, 103}, {135, 244}, {138,
249}, {139, 248}, {163, 215}, {174, 218}, {173, 217}, {17, 100}, {50, 71}, {48,
69}, {19, 102}, {161, 212}, {163, 214}, {18, 101}, {49, 70}, {162, 213}, {53,
77}, {151, 239}, {22, 111}, {21, 110}, {52, 79}, {51, 72}, {41, 82}, {139, 240},
{140, 247}, {137, 245}, {141, 241}, {172, 208}, {46, 80}, {144, 238}, {57, 70},
{134, 249}, {167, 216}, {33, 161}, {35, 163}, {34, 162}, {98, 226}, {118, 246},
{37, 164}, {41, 168}, {39, 166}, {43, 169}, {47, 173}, {46, 172}, {38, 165},
{101, 225}, {22, 144}, {45, 171}, {44, 170}, {113, 247}, {95, 216}, {123, 252},
{26, 146}, {28, 148}, {27, 147}, {24, 145}, {31, 150}, {110, 231}, {122, 243},
{78, 196}, {105, 227}, {30, 149}, {61, 182}, {87, 218}, {75, 197}, {40, 167},
{86, 217}, {71, 215}, {89, 201}, {88, 200}, {92, 201}, {115, 228}, {90, 194},
{91, 195}, {57, 160}, {102, 255}, {40, 178}, {68, 223}, {93, 198}, {109, 241},
{50, 175}, {81, 204}, {48, 174}, {64, 222}, {82, 242}, {113, 209}, {123, 219},
{62, 156}, {122, 222}, {53, 144}, {80, 245}, {70, 224}, {56, 159}, {75, 225},
{62, 146}, {78, 227}, {76, 226}, {104, 199}, {37, 151}, {59, 136}, {112, 196},
{126, 202}, {45, 155}, {58, 140}, {32, 151}, {94, 233}, {61, 132}, {68, 254},
{69, 255}, {50, 137}, {63, 131}, {118, 203}, {67, 253}, {117, 180}, {54, 243},
{69, 143}, {55, 252}, {114, 188}, {99, 178}, {122, 168}, {124, 169}, {121, 175},
{120, 160}, {84, 141}, {117, 172}, {97, 187}, {83, 143}, {94, 130}, {93, 129},
{92, 128}, {95, 131}, {96, 189}, {114, 175}, {121, 164}, {51, 211}, {85, 181},
{48, 209}, {94, 191}, {60, 221}, {103, 133}, {44, 207}, {93, 190}, {49, 210},
{100, 135}, {104, 139}, {108, 143}, {125, 158}, {43, 206}, {60, 217}, {97, 132},
{99, 134}, {105, 140}, {107, 142}, {116, 145}, {98, 133}, {106, 141}, {110,
134}, {117, 157}, {118, 158}, {119, 159}, {58, 211}, {59, 210}, {105, 128},
{112, 154}, {113, 155}, {38, 205}, {55, 220}, {65, 173}, {66, 174}, {101, 136},
{103, 138}, {53, 219}, {102, 136}, {114, 156}, {35, 204}, {102, 137}, {108,
157}, {106, 158}, {110, 152}, {111, 153}, {52, 195}, {72, 191}, {92, 165}, {47,
208}, {84, 278}, {85, 273}, {73, 256}, {74, 257}, {79, 260}, {76, 258}, {77,
259}, {83, 262}, {81, 264}, {90, 259}, {88, 260}, {127, 288}, {126, 287}, {104,
266}, {124, 277}, {99, 265}, {120, 274}, {106, 263}, {107, 282}, {111, 283},
{103, 281}, {130, 259}, {150, 282}, {156, 275}, {149, 263}, {132, 274}, {155,
258}, {128, 286}, {184, 280}, {179, 273}, {168, 267}, {162, 260}, {165, 258},
{177, 278}, {175, 256}, {176, 262}, {184, 270}, {177, 265}, {183, 271}, {178,
264}, {183, 269}, {181, 265}, {191, 256}, {210, 275}, {211, 274}, {213, 272},
{221, 283}, {230, 288}, {192, 267}, {193, 266}, {215, 283}, {208, 258}, {199,
276}, {192, 279}, {213, 271}, {221, 263}, {220, 262}, {220, 263}, {204, 273},
{219, 261}, {224, 257}, {239, 268}, {252, 287}, {238, 267}, {237, 267}, {242,
276}, {241, 281}, {252, 276}, {251, 275}, {248, 272}, {254, 279}, {243, 286},
{235, 261}, {230, 265}, {236, 259}, {229, 277}, {234, 282}, {255, 270}, {254,
269}, {255, 266}, {235, 285}, {250, 268}, {231, 286}, {246, 271}, {233, 272},
{227, 281}, {229, 287}, {232, 277}, {243, 270}, {242, 269} }>;
(II) A more general form is to represent the graph as the orbit of {2, 3}
under the group generated by the following permutations:
a: (1, 2, 17, 100, 125, 158, 157, 171, 170, 206, 43, 7)(3, 24, 135, 107, 106,
108, 224, 191, 190, 169, 32, 4)(5, 35, 181, 76, 75, 78, 257, 256, 162, 161, 46,
6)(8, 52, 148, 258, 197, 196, 283, 175, 34, 33, 36, 9)(10, 12, 77, 89, 88, 118,
117, 45, 44, 214, 60, 11)(13, 79, 209, 208, 150, 149, 215, 121, 23, 22, 25,
14)(15, 18, 74, 73, 260, 246, 172, 31, 30, 163, 85, 16)(19, 113, 244, 282, 263,
71, 70, 72, 144, 124, 21, 20)(26, 145, 228, 142, 141, 143, 223, 94, 93, 205,
151, 27)(28, 155, 207, 234, 221, 50, 49, 51, 53, 64, 63, 29)(37, 116, 115, 188,
187, 189, 241, 69, 68, 233, 198, 38)(39, 202, 232, 152, 138, 137, 210, 211, 219,
222, 131, 40)(41, 204, 265, 226, 225, 227, 266, 279, 213, 212, 80, 42)(47, 195,
194, 165, 164, 112, 111, 114, 97, 96, 109, 48)(54, 82, 81, 230, 229, 231, 281,
255, 254, 272, 235, 55)(56, 238, 277, 110, 103, 102, 247, 248, 261, 220, 95,
57)(58, 240, 177, 176, 167, 166, 193, 192, 250, 249, 245, 59)(61, 218, 217, 66,
65, 67, 259, 201, 200, 203, 180, 62)(83, 253, 130, 129, 237, 239, 147, 146, 182,
186, 185, 84)(86, 174, 173, 91, 90, 92, 236, 154, 153, 156, 132, 87)(98, 101,
105, 104, 280, 271, 251, 120, 119, 168, 273, 99)(122, 179, 178, 127, 126, 128,
199, 184, 183, 275, 274, 123)(133, 136, 140, 139, 278, 262, 216, 160, 159, 267,
268, 134)(242, 264, 288, 287, 286, 276, 270, 269, 284, 285, 252, 243) (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, 10, 7, 4)(3, 15, 11, 6)(5, 22, 16, 9)(8, 33, 23, 14)(12, 49, 32, 20)(13,
51, 34, 21)(17, 65, 43, 27)(18, 70, 46, 29)(19, 75, 50, 31)(24, 90, 60, 38)(25,
57, 36, 40)(26, 98, 66, 42)(28, 106, 71, 45)(30, 111, 76, 48)(35, 126, 85,
55)(37, 133, 91, 59)(39, 141, 95, 62)(41, 144, 99, 64)(44, 153, 107, 69)(47,
161, 112, 74)(52, 101, 121, 80)(53, 178, 124, 82)(54, 146, 127, 84)(56, 187,
131, 87)(58, 190, 134, 89)(61, 200, 142, 94)(63, 96, 72, 97)(67, 210, 151,
103)(68, 212, 154, 105)(73, 211, 162, 110)(77, 173, 169, 116)(78, 224, 172,
118)(79, 225, 175, 120)(81, 229, 179, 123)(83, 206, 147, 100)(86, 237, 188,
130)(88, 189, 191, 132)(92, 247, 198, 138)(93, 249, 201, 140)(102, 197, 137,
150)(104, 248, 213, 152)(108, 171, 117, 158)(109, 167, 114, 160)(113, 194, 221,
165)(115, 226, 174, 119)(122, 267, 230, 177)(125, 143, 170, 180)(128, 254, 235,
184)(129, 186)(135, 262, 214, 193)(136, 164, 245, 195)(139, 272, 250, 199)(145,
259, 217, 205)(148, 263, 215, 155)(149, 283, 258, 209)(156, 166, 241, 216)(159,
228, 176, 218)(163, 202, 181, 220)(168, 238, 265, 222)(182, 236, 185, 233)(183,
282, 255, 207)(192, 288, 278, 243)(196, 257, 208, 246)(203, 227, 223, 251)(204,
287, 273, 252)(219, 264, 277, 242)(231, 256, 274, 260)(232, 269, 261, 270)(234,
266, 244, 271)(239, 281, 253, 275)(240, 284, 268, 276)(279, 285, 280, 286)
c: (2, 7)(3, 11)(4, 10)(5, 16)(6, 15)(8, 23)(9, 22)(12, 32)(13, 34)(14, 33)(17,
43)(18, 46)(19, 50)(20, 49)(21, 51)(24, 60)(25, 36)(26, 66)(27, 65)(28, 71)(29,
70)(30, 76)(31, 75)(35, 85)(37, 91)(38, 90)(39, 95)(40, 57)(41, 99)(42, 98)(44,
107)(45, 106)(47, 112)(48, 111)(52, 121)(53, 124)(54, 127)(55, 126)(56, 131)(58,
134)(59, 133)(61, 142)(62, 141)(63, 72)(64, 144)(67, 151)(68, 154)(69, 153)(73,
162)(74, 161)(77, 169)(78, 172)(79, 175)(80, 101)(81, 179)(82, 178)(83, 147)(84,
146)(86, 188)(87, 187)(88, 191)(89, 190)(92, 198)(93, 201)(94, 200)(96, 97)(100,
206)(102, 137)(103, 210)(104, 213)(105, 212)(108, 117)(109, 114)(110, 211)(113,
221)(115, 174)(116, 173)(118, 224)(119, 226)(120, 225)(122, 230)(123, 229)(125,
170)(128, 235)(130, 237)(132, 189)(135, 214)(136, 245)(138, 247)(139, 250)(140,
249)(143, 180)(145, 217)(148, 215)(149, 258)(150, 197)(152, 248)(155, 263)(156,
241)(158, 171)(159, 176)(160, 167)(163, 181)(164, 195)(165, 194)(166, 216)(168,
265)(177, 267)(182, 185)(183, 255)(184, 254)(192, 278)(193, 262)(196, 208)(199,
272)(202, 220)(203, 223)(204, 273)(205, 259)(207, 282)(209, 283)(218, 228)(219,
277)(222, 238)(227, 251)(231, 274)(232, 261)(233, 236)(234, 244)(239, 253)(240,
268)(242, 264)(243, 288)(246, 257)(252, 287)(256, 260)(266, 271)(269, 270)(275,
281)(276, 284)(279, 280)(285, 286)
C4[ 288, 167 ]
288
-1 2 4 7 10
-2 1 12 3 17
-3 2 26 5 19
-4 1 27 6 20
-5 3 8 30 41
-6 4 9 31 42
-7 11 1 32 43
-8 13 47 5 63
-9 14 48 6 64
-10 1 15 49 65
-11 66 16 50 7
-12 67 2 18 51
-13 73 8 96 20
-14 74 9 97 21
-15 22 75 10 98
-16 11 99 23 76
-17 77 100 2 24
-18 12 78 101 25
-19 79 3 102 28
-20 13 4 103 29
-21 110 14 63 32
-22 33 111 144 15
-23 34 112 16 72
-24 35 145 113 17
-25 36 124 114 18
-26 3 146 37 115
-27 4 147 38 116
-28 148 39 117 19
-29 40 52 118 20
-30 44 5 149 119
-31 45 6 150 120
-32 46 7 151 21
-33 22 51 161 96
-34 23 49 162 97
-35 24 204 52 163
-36 46 25 53 109
-37 26 151 54 164
-38 55 165 27 205
-39 56 166 28 127
-40 57 167 178 29
-41 58 168 5 82
-42 59 6 119 54
-43 169 60 7 206
-44 170 61 30 207
-45 155 171 62 31
-46 36 80 172 32
-47 68 8 173 208
-48 209 69 9 174
-49 34 210 70 10
-50 11 71 137 175
-51 33 12 211 72
-52 35 79 29 195
-53 77 144 36 219
-54 243 37 95 42
-55 220 80 38 252
-56 81 159 39 72
-57 70 82 160 40
-58 211 83 41 140
-59 210 136 84 42
-60 221 85 217 43
-61 44 132 182 86
-62 45 156 146 87
-63 88 8 21 131
-64 89 222 124 9
-65 90 83 173 10
-66 11 91 84 174
-67 253 12 91 92
-68 254 47 223 93
-69 143 255 48 94
-70 121 57 224 49
-71 50 215 95 108
-72 23 56 191 51
-73 89 13 256 104
-74 77 14 257 105
-75 15 225 106 197
-76 16 258 226 107
-77 17 259 74 53
-78 18 227 108 196
-79 260 19 52 109
-80 55 46 245 120
-81 264 56 115 204
-82 242 57 116 41
-83 143 58 262 65
-84 66 278 59 141
-85 121 60 181 273
-86 122 61 217 109
-87 123 62 96 218
-88 200 125 260 63
-89 100 201 73 64
-90 126 259 194 65
-91 66 67 127 195
-92 165 67 201 128
-93 198 68 190 129
-94 233 69 191 130
-95 71 216 54 131
-96 33 13 189 87
-97 132 187 34 14
-98 133 15 127 226
-99 265 134 178 16
-100 89 135 125 17
-101 136 126 225 18
-102 255 136 137 19
-103 133 138 281 20
-104 199 266 73 139
-105 128 227 74 140
-106 158 75 141 263
-107 125 282 76 142
-108 143 78 157 71
-109 79 36 86 241
-110 231 134 152 21
-111 22 115 283 153
-112 154 23 116 196
-113 209 155 24 247
-114 188 156 25 175
-115 111 26 81 228
-116 112 145 27 82
-117 157 180 28 172
-118 158 246 203 29
-119 123 159 30 42
-120 80 160 31 274
-121 70 85 164 175
-122 243 222 168 86
-123 119 87 219 252
-124 277 25 169 64
-125 88 100 158 107
-126 287 90 101 202
-127 288 91 39 98
-128 286 232 92 105
-129 176 201 93 159
-130 177 94 160 259
-131 176 179 95 63
-132 180 61 97 274
-133 146 245 103 98
-134 99 110 147 249
-135 100 244 181 228
-136 101 102 59 182
-137 102 245 50 183
-138 221 103 249 184
-139 104 248 185 240
-140 58 247 105 186
-141 187 84 106 241
-142 188 189 107 185
-143 189 69 83 108
-144 22 190 238 53
-145 188 24 116 182
-146 133 26 192 62
-147 134 180 27 193
-148 209 181 28 194
-149 194 30 196 263
-150 282 195 31 197
-151 198 37 239 32
-152 110 199 234 250
-153 111 200 180 183
-154 112 201 203 184
-155 45 113 202 258
-156 275 114 203 62
-157 158 171 117 108
-158 157 125 106 118
-159 56 193 129 119
-160 166 57 130 120
-161 33 212 169 246
-162 34 190 213 260
-163 35 168 214 215
-164 121 37 236 197
-165 92 38 258 215
-166 39 160 227 239
-167 225 237 40 216
-168 122 267 41 163
-169 124 161 205 43
-170 44 191 171 206
-171 45 157 224 170
-172 46 117 251 208
-173 178 47 217 65
-174 66 179 48 218
-175 121 256 114 50
-176 226 129 262 131
-177 265 222 278 130
-178 99 264 40 173
-179 242 174 273 131
-180 132 147 117 153
-181 265 135 148 85
-182 145 136 61 250
-183 137 269 271 153
-184 154 280 138 270
-185 245 139 217 142
-186 249 140 228 218
-187 228 97 141 229
-188 145 114 142 230
-189 143 231 96 142
-190 144 93 162 206
-191 256 170 72 94
-192 232 146 267 279
-193 266 147 202 159
-194 198 90 148 149
-195 233 91 150 52
-196 78 112 234 149
-197 150 75 207 164
-198 235 93 194 151
-199 276 104 236 152
-200 88 236 237 153
-201 154 89 92 129
-202 155 126 193 238
-203 154 156 118 239
-204 35 81 240 273
-205 233 169 38 237
-206 190 170 214 43
-207 44 232 244 197
-208 244 47 258 172
-209 113 48 246 148
-210 275 59 49 247
-211 58 248 51 274
-212 235 161 249 251
-213 271 162 250 272
-214 234 206 163 218
-215 165 71 283 163
-216 253 167 95 251
-217 60 173 86 185
-218 214 174 87 186
-219 123 261 53 240
-220 55 222 262 263
-221 60 138 283 263
-222 220 122 177 64
-223 253 68 224 241
-224 223 70 257 171
-225 231 101 167 75
-226 176 229 76 98
-227 78 166 105 281
-228 187 135 115 186
-229 187 287 277 226
-230 188 265 288 238
-231 110 286 189 225
-232 277 192 128 207
-233 94 205 195 272
-234 214 282 152 196
-235 198 212 261 285
-236 199 200 259 164
-237 167 200 267 205
-238 144 267 202 230
-239 166 268 203 151
-240 253 204 139 219
-241 223 281 141 109
-242 276 179 82 269
-243 286 122 270 54
-244 135 248 207 208
-245 133 80 137 185
-246 209 161 271 118
-247 210 254 113 140
-248 211 244 139 272
-249 134 212 138 186
-250 213 268 182 152
-251 275 212 172 216
-252 55 276 287 123
-253 67 223 216 240
-254 68 279 247 269
-255 266 69 102 270
-256 191 279 73 175
-257 266 224 74 283
-258 165 155 76 208
-259 77 90 236 130
-260 88 79 280 162
-261 278 235 282 219
-262 176 220 83 271
-263 220 221 149 106
-264 178 81 270 284
-265 99 177 181 230
-266 255 257 104 193
-267 168 192 237 238
-268 277 239 250 273
-269 242 254 288 183
-270 264 243 255 184
-271 213 246 183 262
-272 233 213 248 284
-273 179 268 204 85
-274 132 211 120 285
-275 210 156 251 284
-276 242 199 281 252
-277 232 124 268 229
-278 177 280 84 261
-279 254 256 192 280
-280 278 279 260 184
-281 276 103 227 241
-282 234 150 107 261
-283 111 221 257 215
-284 264 275 287 272
-285 286 288 235 274
-286 231 243 128 285
-287 126 229 284 252
-288 269 127 230 285
0