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