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