Graph forms
for C4 [ 256, 146 ] =
BGCG(UG(ATD[128,57]);K1;{5,12})
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On this page are computer-accessible forms for the graph C4[ 256, 146 ] =
BGCG(UG(ATD[128,57]);K1;{5,12}).
(I) Following is a form readable by MAGMA:
g:=Graph<256|{ {128, 130}, {128, 132}, {128, 168}, {128, 222}, {13, 141}, {66,
194}, {35, 162}, {103, 230}, {40, 169}, {34, 160}, {119, 245}, {51, 177}, {45,
175}, {43, 169}, {83, 209}, {87, 213}, {9, 138}, {96, 227}, {90, 217}, {76,
207}, {8, 140}, {95, 219}, {29, 153}, {67, 199}, {36, 161}, {98, 231}, {7, 129},
{126, 248}, {47, 169}, {31, 153}, {20, 146}, {8, 142}, {1, 134}, {49, 182}, {42,
173}, {67, 203}, {123, 243}, {108, 228}, {86, 222}, {24, 145}, {118, 255}, {100,
237}, {99, 234}, {58, 179}, {54, 191}, {62, 183}, {88, 209}, {4, 142}, {34,
168}, {63, 181}, {41, 162}, {42, 161}, {77, 198}, {26, 150}, {37, 169}, {63,
178}, {112, 253}, {70, 203}, {77, 195}, {115, 253}, {101, 235}, {92, 210}, {89,
215}, {16, 159}, {57, 182}, {54, 185}, {61, 178}, {48, 160}, {65, 209}, {6,
151}, {120, 233}, {99, 242}, {97, 240}, {59, 170}, {29, 140}, {22, 135}, {30,
140}, {127, 237}, {113, 227}, {102, 244}, {47, 189}, {69, 215}, {81, 195}, {57,
170}, {121, 234}, {4, 144}, {119, 227}, {55, 163}, {23, 131}, {62, 170}, {72,
220}, {28, 137}, {65, 212}, {44, 186}, {101, 243}, {69, 210}, {112, 231}, {84,
195}, {28, 132}, {91, 195}, {59, 163}, {39, 191}, {76, 213}, {122, 227}, {115,
234}, {5, 159}, {105, 243}, {60, 166}, {7, 157}, {61, 167}, {111, 244}, {117,
238}, {79, 211}, {105, 245}, {10, 151}, {36, 185}, {78, 211}, {85, 200}, {3,
157}, {122, 228}, {94, 192}, {35, 189}, {3, 156}, {97, 254}, {50, 173}, {44,
179}, {72, 215}, {87, 200}, {88, 199}, {21, 181}, {23, 183}, {75, 235}, {80,
240}, {13, 172}, {35, 129}, {121, 219}, {111, 205}, {108, 206}, {92, 254}, {70,
228}, {23, 180}, {53, 150}, {36, 135}, {66, 225}, {71, 228}, {75, 239}, {89,
253}, {81, 245}, {40, 141}, {84, 241}, {28, 186}, {96, 198}, {55, 145}, {51,
149}, {29, 186}, {113, 214}, {93, 250}, {36, 140}, {46, 134}, {79, 231}, {21,
188}, {50, 155}, {24, 177}, {63, 150}, {17, 187}, {119, 221}, {115, 217}, {76,
230}, {7, 172}, {86, 250}, {98, 207}, {119, 218}, {116, 217}, {109, 192}, {108,
193}, {10, 164}, {103, 201}, {51, 157}, {38, 136}, {84, 250}, {53, 154}, {106,
197}, {97, 206}, {61, 146}, {71, 232}, {84, 251}, {40, 152}, {89, 233}, {56,
136}, {78, 254}, {21, 164}, {57, 136}, {50, 131}, {37, 151}, {126, 204}, {109,
223}, {82, 224}, {12, 191}, {104, 219}, {37, 150}, {53, 129}, {112, 196}, {63,
139}, {21, 160}, {32, 149}, {77, 248}, {85, 224}, {49, 135}, {118, 192}, {90,
236}, {2, 181}, {125, 202}, {120, 207}, {56, 143}, {29, 170}, {70, 241}, {12,
180}, {94, 230}, {13, 181}, {68, 252}, {78, 246}, {80, 232}, {82, 234}, {7,
190}, {121, 192}, {111, 214}, {105, 208}, {81, 232}, {52, 142}, {87, 237}, {5,
190}, {43, 144}, {33, 154}, {15, 180}, {10, 177}, {83, 232}, {18, 174}, {126,
194}, {108, 208}, {92, 224}, {85, 233}, {6, 187}, {127, 194}, {52, 137}, {45,
144}, {18, 175}, {18, 172}, {124, 194}, {123, 197}, {59, 133}, {66, 252}, {1,
190}, {90, 229}, {54, 137}, {48, 143}, {17, 174}, {12, 179}, {74, 245}, {19,
211}, {122, 186}, {120, 184}, {100, 164}, {94, 158}, {33, 225}, {69, 133}, {9,
200}, {30, 220}, {96, 162}, {92, 158}, {56, 250}, {60, 254}, {4, 199}, {102,
165}, {14, 205}, {9, 202}, {19, 215}, {104, 172}, {38, 226}, {25, 221}, {70,
130}, {11, 206}, {39, 226}, {89, 156}, {13, 203}, {116, 178}, {109, 171}, {27,
221}, {65, 135}, {86, 144}, {19, 212}, {118, 177}, {93, 154}, {51, 244}, {42,
226}, {106, 162}, {96, 168}, {56, 240}, {74, 130}, {75, 131}, {48, 249}, {110,
167}, {91, 146}, {90, 147}, {66, 139}, {6, 204}, {107, 161}, {103, 173}, {83,
153}, {15, 196}, {114, 185}, {83, 152}, {49, 253}, {31, 210}, {125, 176}, {104,
165}, {94, 147}, {32, 237}, {2, 204}, {95, 145}, {91, 149}, {47, 225}, {11,
197}, {27, 212}, {127, 176}, {86, 153}, {26, 202}, {115, 163}, {54, 230}, {38,
246}, {11, 218}, {116, 165}, {103, 182}, {68, 149}, {8, 218}, {43, 249}, {27,
201}, {15, 221}, {72, 155}, {101, 182}, {37, 241}, {111, 187}, {59, 239}, {64,
148}, {34, 247}, {58, 239}, {44, 249}, {75, 158}, {3, 213}, {125, 171}, {110,
184}, {91, 141}, {33, 247}, {17, 199}, {16, 198}, {73, 159}, {24, 207}, {44,
251}, {30, 201}, {88, 143}, {22, 206}, {41, 241}, {25, 193}, {95, 134}, {126,
167}, {124, 165}, {45, 247}, {105, 179}, {16, 203}, {47, 244}, {73, 146}, {79,
148}, {79, 147}, {122, 166}, {100, 184}, {88, 132}, {5, 216}, {123, 166}, {99,
190}, {12, 209}, {71, 154}, {20, 202}, {113, 175}, {102, 184}, {97, 191}, {62,
224}, {80, 142}, {116, 171}, {5, 229}, {125, 157}, {124, 156}, {25, 249}, {15,
238}, {107, 138}, {101, 132}, {93, 188}, {23, 246}, {64, 161}, {14, 236}, {26,
248}, {60, 222}, {82, 176}, {8, 235}, {114, 145}, {53, 214}, {41, 205}, {58,
222}, {68, 160}, {87, 178}, {106, 143}, {100, 129}, {48, 214}, {52, 210}, {73,
175}, {65, 166}, {106, 141}, {98, 133}, {1, 233}, {109, 133}, {98, 138}, {45,
197}, {26, 242}, {71, 174}, {113, 152}, {77, 164}, {4, 238}, {28, 246}, {24,
242}, {18, 248}, {17, 251}, {62, 212}, {68, 174}, {20, 255}, {55, 220}, {50,
217}, {27, 240}, {64, 171}, {82, 185}, {9, 229}, {127, 147}, {31, 243}, {16,
252}, {81, 189}, {43, 198}, {118, 155}, {117, 152}, {107, 134}, {78, 163}, {2,
236}, {114, 156}, {49, 223}, {42, 196}, {3, 236}, {35, 204}, {10, 229}, {11,
251}, {61, 205}, {6, 247}, {114, 131}, {46, 223}, {41, 216}, {69, 180}, {74,
187}, {14, 252}, {121, 139}, {34, 208}, {58, 201}, {120, 139}, {20, 225}, {110,
155}, {107, 158}, {52, 193}, {73, 188}, {74, 188}, {124, 138}, {64, 183}, {117,
130}, {99, 148}, {19, 235}, {95, 167}, {60, 196}, {57, 193}, {40, 208}, {39,
223}, {32, 216}, {22, 238}, {72, 176}, {80, 168}, {85, 173}, {22, 239}, {112,
137}, {102, 159}, {33, 216}, {30, 231}, {110, 148}, {32, 219}, {46, 213}, {39,
220}, {76, 183}, {14, 242}, {38, 218}, {2, 255}, {117, 136}, {46, 211}, {31,
226}, {1, 255}, {67, 189}, {55, 200}, {104, 151}, {25, 256}, {67, 256}, {93,
256}, {123, 256} }>;
(II) A more general form is to represent the graph as the orbit of {128, 130}
under the group generated by the following permutations:
a: (2, 107, 7, 85)(3, 9)(4, 83, 56, 128)(5, 89, 20, 46)(6, 36, 53, 103)(8, 113,
27, 74)(10, 114, 26, 76)(11, 122, 25, 105)(12, 84, 28, 43)(13, 92)(14, 98, 51,
55)(15, 81, 38, 96)(16, 69, 91, 78)(17, 29, 48, 58)(18, 62, 21, 75)(19, 73)(22,
71, 57, 34)(23, 77)(30, 111)(31, 106, 60, 67)(32, 115, 66, 109)(33, 49)(35,
42)(37, 54)(39, 41, 112, 47)(40, 97, 70, 52)(45, 65, 93, 101)(50, 126, 64,
100)(59, 68)(61, 79, 102, 72)(63, 94, 104, 82)(80, 117)(86, 88)(87, 90, 124,
125)(95, 99, 120, 118)(116, 127)(129, 173, 204, 161)(130, 142, 152, 240)(131,
248, 183, 164)(132, 144, 209, 250)(133, 149, 163, 252)(134, 190, 233, 255)(135,
154, 182, 247)(136, 168, 238, 232)(137, 169, 191, 241)(138, 157, 200, 236)(139,
192, 219, 234)(140, 214, 201, 187)(141, 254, 203, 210)(143, 222, 199, 153)(145,
242, 207, 177)(146, 211, 159, 215)(147, 165, 176, 178)(148, 184, 155, 167)(150,
230, 151, 185)(156, 202, 213, 229)(158, 172, 224, 181)(160, 239, 174, 170)(162,
196, 189, 226)(166, 256, 243, 197)(171, 237, 217, 194)(175, 212, 188, 235)(179,
251, 186, 249)(180, 195, 246, 198)(193, 208, 206, 228)(205, 231, 244, 220)(216,
253, 225, 223)(218, 227, 221, 245) (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, 56)(6, 21)(8, 57)(11, 25)(13, 35)(15, 97)(16, 41)(17, 48)(18, 53)(19,
49)(22, 27)(23, 54)(30, 59)(32, 102)(33, 73)(34, 74)(36, 62)(37, 77)(38, 52)(39,
69)(40, 81)(42, 92)(43, 84)(45, 93)(46, 89)(47, 91)(50, 94)(55, 98)(61, 66)(63,
126)(64, 82)(67, 106)(68, 111)(70, 96)(71, 113)(72, 109)(75, 103)(76, 114)(78,
112)(79, 115)(80, 117)(85, 107)(87, 124)(95, 120)(100, 104)(108, 119)(110,
121)(116, 127)(129, 172)(130, 168)(131, 230)(133, 220)(134, 233)(135, 212)(136,
142)(137, 246)(138, 200)(139, 167)(140, 170)(141, 189)(143, 199)(144, 250)(145,
207)(146, 225)(147, 217)(148, 234)(149, 244)(150, 248)(151, 164)(152, 232)(154,
175)(155, 192)(156, 213)(158, 173)(159, 216)(160, 187)(161, 224)(162, 203)(163,
231)(165, 237)(169, 195)(171, 176)(174, 214)(178, 194)(180, 191)(181, 204)(182,
235)(183, 185)(184, 219)(188, 247)(193, 218)(196, 254)(197, 256)(198, 241)(201,
239)(205, 252)(206, 221)(208, 245)(210, 226)(211, 253)(215, 223)(227, 228)(238,
240)(249, 251)
c: (2, 46, 7, 89)(4, 128, 56, 83)(5, 85, 20, 107)(6, 78, 53, 69)(8, 96, 27,
81)(10, 55, 26, 98)(11, 122, 25, 105)(12, 17, 28, 48)(13, 49)(14, 76, 51,
114)(15, 74, 38, 113)(16, 103, 91, 36)(18, 112, 21, 39)(19, 35)(22, 70, 57,
40)(23, 111)(29, 43, 58, 84)(30, 77)(31, 45, 60, 93)(32, 82, 66, 94)(33, 92)(34,
97, 71, 52)(37, 59)(41, 62, 47, 75)(42, 73)(50, 61, 64, 102)(54, 68)(63, 109,
104, 115)(65, 67, 101, 106)(72, 126, 79, 100)(87, 125, 124, 90)(95, 99, 120,
118)(129, 215, 204, 211)(130, 136, 152, 238)(131, 205, 183, 244)(132, 143, 209,
199)(133, 151, 163, 150)(134, 190, 233, 255)(135, 203, 182, 141)(137, 160, 191,
174)(138, 229, 200, 202)(139, 192, 219, 234)(140, 198, 201, 195)(142, 168, 240,
232)(144, 222, 250, 153)(145, 242, 207, 177)(146, 161, 159, 173)(147, 237, 176,
194)(148, 184, 155, 167)(149, 185, 252, 230)(154, 210, 247, 254)(156, 236, 213,
157)(158, 216, 224, 225)(162, 212, 189, 235)(164, 220, 248, 231)(165, 217, 178,
171)(166, 256, 243, 197)(169, 239, 241, 170)(172, 253, 181, 223)(175, 196, 188,
226)(179, 251, 186, 249)(180, 187, 246, 214)(193, 208, 206, 228)(218, 227, 221,
245)
d: (1, 2, 13, 106, 88, 65, 19, 89)(3, 7, 35, 67, 123, 101, 49, 46)(4, 60, 75,
115, 95, 14, 18, 96)(5, 6, 70, 11, 28, 36, 79, 124)(8, 112, 107, 90, 104, 41,
17, 122)(9, 10, 37, 84, 44, 29, 30, 98)(12, 62, 72, 120, 20, 21, 40, 56)(15, 92,
50, 121, 61, 68, 113, 80)(16, 45, 128, 22, 78, 114, 99, 126)(23, 82, 110, 66,
73, 34, 117, 97)(24, 26, 77, 43, 86, 58, 59, 55)(25, 31, 103, 109, 87, 51, 53,
81)(27, 69, 85, 118, 63, 91, 48, 83)(32, 111, 71, 119, 52, 42, 94, 116)(33, 74,
108, 38, 54, 64, 127, 102)(39, 76, 125, 100, 47, 93, 105, 57)(129, 189, 256,
243, 182, 223, 213, 157)(130, 206, 246, 185, 148, 194, 159, 247)(131, 234, 167,
252, 175, 168, 238, 254)(132, 135, 211, 156, 190, 204, 203, 197)(133, 200, 177,
150, 195, 249, 153, 201)(134, 236, 172, 162, 199, 166, 235, 253)(136, 191, 183,
176, 184, 225, 188, 208)(137, 161, 147, 165, 216, 187, 228, 218)(138, 229, 151,
241, 251, 186, 140, 231)(139, 146, 160, 152, 240, 180, 224, 155)(141, 143, 209,
212, 215, 233, 255, 181)(142, 196, 158, 217, 219, 205, 174, 227)(144, 222, 239,
163, 145, 242, 248, 198)(149, 214, 232, 221, 210, 173, 192, 178)(154, 245, 193,
226, 230, 171, 237, 244)(164, 169, 250, 179, 170, 220, 207, 202)
C4[ 256, 146 ]
256
-1 134 233 255 190
-2 255 181 236 204
-3 156 157 213 236
-4 144 199 238 142
-5 190 159 216 229
-6 187 247 204 151
-7 157 190 172 129
-8 235 140 218 142
-9 200 202 138 229
-10 177 151 229 164
-11 206 218 251 197
-12 209 179 180 191
-13 181 203 172 141
-14 242 236 205 252
-15 221 180 238 196
-16 198 159 203 252
-17 187 199 174 251
-18 248 172 174 175
-19 211 212 235 215
-20 255 146 202 225
-21 188 181 160 164
-22 135 238 206 239
-23 180 246 183 131
-24 242 177 145 207
-25 221 256 193 249
-26 242 202 248 150
-27 221 201 212 240
-28 132 246 137 186
-29 170 140 153 186
-30 220 231 201 140
-31 210 243 226 153
-32 149 237 216 219
-33 154 225 247 216
-34 168 247 160 208
-35 189 204 129 162
-36 135 161 140 185
-37 169 150 151 241
-38 136 246 226 218
-39 220 223 191 226
-40 169 141 152 208
-41 205 216 162 241
-42 226 161 173 196
-43 198 144 169 249
-44 179 249 251 186
-45 144 247 175 197
-46 134 211 223 213
-47 189 244 169 225
-48 143 214 160 249
-49 253 135 223 182
-50 155 173 217 131
-51 177 244 157 149
-52 210 137 193 142
-53 154 214 150 129
-54 191 137 185 230
-55 220 145 200 163
-56 143 136 250 240
-57 136 170 182 193
-58 222 179 201 239
-59 133 170 239 163
-60 166 254 222 196
-61 167 178 146 205
-62 212 224 170 183
-63 178 181 139 150
-64 148 171 161 183
-65 209 166 135 212
-66 225 139 194 252
-67 199 189 256 203
-68 149 160 174 252
-69 133 210 180 215
-70 203 228 130 241
-71 154 232 228 174
-72 176 220 155 215
-73 188 146 159 175
-74 187 188 245 130
-75 158 235 239 131
-76 213 183 207 230
-77 198 248 195 164
-78 254 211 246 163
-79 231 211 147 148
-80 232 168 240 142
-81 232 189 245 195
-82 176 234 224 185
-83 209 232 152 153
-84 195 250 251 241
-85 200 233 224 173
-86 144 222 250 153
-87 178 200 213 237
-88 132 143 209 199
-89 253 156 233 215
-90 147 236 217 229
-91 146 149 195 141
-92 210 254 158 224
-93 154 188 256 250
-94 147 158 192 230
-95 134 145 167 219
-96 198 168 227 162
-97 254 191 206 240
-98 231 133 138 207
-99 242 190 234 148
-100 237 129 184 164
-101 132 243 235 182
-102 165 244 159 184
-103 201 182 173 230
-104 165 172 151 219
-105 243 179 245 208
-106 143 162 141 197
-107 134 158 138 161
-108 193 206 228 208
-109 133 223 192 171
-110 155 167 148 184
-111 187 244 214 205
-112 231 253 137 196
-113 214 227 152 175
-114 145 156 185 131
-115 253 234 217 163
-116 165 178 171 217
-117 136 238 130 152
-118 155 177 255 192
-119 221 245 227 218
-120 233 139 184 207
-121 234 192 139 219
-122 166 227 228 186
-123 166 243 256 197
-124 165 156 138 194
-125 176 157 202 171
-126 167 204 248 194
-127 176 147 237 194
-128 132 222 168 130
-129 100 35 7 53
-130 70 117 128 74
-131 23 114 50 75
-132 88 101 28 128
-133 69 59 98 109
-134 1 46 95 107
-135 22 36 49 65
-136 56 57 38 117
-137 112 28 52 54
-138 124 107 9 98
-139 66 121 63 120
-140 36 29 8 30
-141 13 91 40 106
-142 80 4 8 52
-143 88 56 48 106
-144 45 4 86 43
-145 55 24 114 95
-146 91 61 73 20
-147 79 90 94 127
-148 99 110 79 64
-149 68 91 51 32
-150 26 37 63 53
-151 37 104 6 10
-152 113 83 40 117
-153 83 29 31 86
-154 33 71 93 53
-155 110 50 72 118
-156 89 3 124 114
-157 3 125 7 51
-158 92 94 107 75
-159 102 5 16 73
-160 34 68 48 21
-161 36 107 42 64
-162 35 106 41 96
-163 55 78 59 115
-164 77 100 10 21
-165 102 124 104 116
-166 122 123 60 65
-167 110 126 61 95
-168 34 80 128 96
-169 47 37 40 43
-170 57 59 29 62
-171 125 116 64 109
-172 13 104 7 18
-173 103 50 85 42
-174 68 71 17 18
-175 45 113 18 73
-176 125 82 72 127
-177 24 51 118 10
-178 61 116 63 87
-179 44 12 58 105
-180 12 23 69 15
-181 2 13 63 21
-182 57 101 103 49
-183 23 62 64 76
-184 110 100 102 120
-185 36 114 82 54
-186 44 122 28 29
-187 111 6 17 74
-188 93 73 74 21
-189 67 35 47 81
-190 99 1 5 7
-191 12 39 97 54
-192 121 94 118 109
-193 57 25 52 108
-194 66 124 126 127
-195 77 91 81 84
-196 112 15 60 42
-197 11 45 123 106
-198 77 16 96 43
-199 88 67 4 17
-200 55 85 9 87
-201 58 103 27 30
-202 26 125 9 20
-203 67 13 70 16
-204 2 35 126 6
-205 111 14 61 41
-206 11 22 97 108
-207 24 76 98 120
-208 34 105 40 108
-209 88 12 83 65
-210 69 92 52 31
-211 78 46 79 19
-212 27 62 19 65
-213 46 3 76 87
-214 111 113 48 53
-215 89 69 72 19
-216 33 5 41 32
-217 90 115 50 116
-218 11 38 8 119
-219 121 104 95 32
-220 55 39 72 30
-221 25 15 27 119
-222 58 60 128 86
-223 46 49 39 109
-224 92 82 62 85
-225 33 66 47 20
-226 38 39 31 42
-227 122 113 96 119
-228 122 70 71 108
-229 90 5 9 10
-230 103 94 54 76
-231 79 112 30 98
-232 80 81 71 83
-233 1 89 85 120
-234 99 121 82 115
-235 101 8 19 75
-236 2 90 3 14
-237 100 127 32 87
-238 22 4 15 117
-239 22 58 59 75
-240 56 80 27 97
-241 37 70 84 41
-242 99 24 14 26
-243 101 123 105 31
-244 111 47 102 51
-245 81 105 74 119
-246 23 78 38 28
-247 33 34 45 6
-248 77 26 126 18
-249 44 25 48 43
-250 56 93 84 86
-251 11 44 17 84
-252 66 68 14 16
-253 89 112 49 115
-254 78 92 60 97
-255 1 2 118 20
-256 67 123 25 93
0