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