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