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