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