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