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