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