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