Graph forms
for C4 [ 243, 29 ] = UG(Cmap(486,11){12,4|9}_18)
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On this page are computer-accessible forms for the graph C4[ 243, 29 ] =
UG(Cmap(486,11){12,4|9}_18).
(I) Following is a form readable by MAGMA:
g:=Graph<243|{ {2, 3}, {238, 239}, {234, 235}, {232, 233}, {226, 227}, {4, 6},
{240, 242}, {1, 2}, {217, 218}, {181, 182}, {211, 215}, {1, 4}, {10, 15}, {8,
13}, {1, 7}, {235, 237}, {3, 5}, {9, 14}, {211, 212}, {171, 172}, {16, 24},
{150, 158}, {147, 155}, {18, 26}, {17, 25}, {99, 106}, {20, 30}, {209, 219}, {1,
10}, {144, 155}, {7, 11}, {199, 203}, {177, 189}, {5, 8}, {2, 12}, {199, 201},
{197, 203}, {160, 174}, {19, 29}, {6, 9}, {224, 239}, {3, 19}, {164, 180}, {33,
49}, {32, 48}, {4, 20}, {134, 151}, {99, 113}, {2, 17}, {226, 241}, {204, 223},
{198, 213}, {75, 95}, {34, 55}, {143, 154}, {42, 63}, {40, 61}, {104, 125}, {98,
116}, {229, 243}, {41, 62}, {3, 27}, {71, 95}, {15, 23}, {14, 22}, {13, 21}, {4,
28}, {192, 217}, {5, 31}, {173, 183}, {132, 158}, {11, 16}, {39, 60}, {35, 56},
{237, 241}, {36, 57}, {166, 187}, {165, 184}, {38, 59}, {12, 18}, {167, 185},
{129, 159}, {37, 58}, {72, 104}, {206, 238}, {73, 105}, {64, 97}, {197, 228},
{147, 178}, {79, 110}, {77, 108}, {75, 106}, {70, 103}, {68, 101}, {66, 99},
{77, 111}, {65, 98}, {78, 109}, {69, 102}, {83, 112}, {202, 238}, {6, 32}, {214,
240}, {7, 33}, {81, 119}, {88, 126}, {67, 100}, {154, 189}, {76, 107}, {85,
114}, {13, 37}, {207, 231}, {200, 224}, {5, 44}, {21, 60}, {7, 46}, {82, 120},
{217, 243}, {83, 121}, {86, 124}, {87, 125}, {6, 45}, {156, 183}, {142, 165},
{67, 104}, {131, 168}, {138, 166}, {84, 122}, {158, 176}, {85, 123}, {134, 168},
{22, 57}, {80, 127}, {133, 170}, {31, 47}, {69, 117}, {220, 237}, {92, 110},
{128, 178}, {129, 179}, {134, 180}, {135, 181}, {23, 36}, {193, 242}, {27, 40},
{22, 35}, {210, 231}, {30, 43}, {28, 41}, {21, 34}, {219, 236}, {29, 42}, {130,
186}, {221, 229}, {215, 239}, {210, 234}, {149, 173}, {137, 176}, {223, 230},
{200, 241}, {152, 161}, {8, 50}, {12, 54}, {9, 51}, {93, 102}, {209, 234}, {201,
242}, {208, 236}, {212, 232}, {24, 37}, {217, 228}, {146, 175}, {138, 183}, {26,
39}, {10, 52}, {136, 182}, {11, 53}, {84, 106}, {25, 38}, {150, 169}, {80, 111},
{44, 108}, {138, 202}, {9, 72}, {11, 74}, {34, 96}, {35, 97}, {10, 73}, {16,
84}, {154, 222}, {145, 213}, {19, 87}, {18, 86}, {17, 85}, {131, 198}, {12, 75},
{181, 242}, {171, 236}, {157, 218}, {140, 197}, {34, 104}, {163, 233}, {162,
232}, {172, 231}, {20, 88}, {151, 218}, {130, 204}, {8, 71}, {141, 194}, {140,
195}, {133, 213}, {191, 239}, {157, 205}, {141, 221}, {148, 197}, {54, 100},
{149, 198}, {49, 101}, {55, 99}, {145, 196}, {159, 202}, {181, 227}, {47, 120},
{179, 228}, {155, 204}, {171, 243}, {42, 112}, {177, 235}, {169, 243}, {13, 81},
{189, 225}, {15, 83}, {14, 82}, {153, 199}, {63, 96}, {178, 237}, {153, 198},
{129, 222}, {49, 81}, {56, 89}, {174, 207}, {62, 95}, {60, 93}, {58, 91}, {16,
114}, {172, 206}, {20, 118}, {17, 115}, {57, 90}, {161, 194}, {160, 195}, {135,
228}, {61, 94}, {56, 93}, {185, 220}, {18, 116}, {190, 216}, {54, 80}, {19,
117}, {59, 92}, {182, 209}, {170, 205}, {41, 65}, {164, 204}, {162, 203}, {21,
127}, {43, 64}, {47, 68}, {161, 205}, {24, 117}, {187, 214}, {186, 215}, {143,
226}, {136, 229}, {51, 94}, {46, 67}, {44, 65}, {128, 238}, {184, 214}, {45,
66}, {137, 230}, {55, 88}, {40, 89}, {165, 212}, {53, 71}, {182, 196}, {37, 86},
{149, 230}, {144, 227}, {148, 224}, {190, 202}, {48, 69}, {49, 70}, {61, 74},
{36, 92}, {170, 211}, {52, 78}, {53, 79}, {32, 92}, {179, 207}, {164, 216},
{173, 208}, {14, 112}, {176, 206}, {51, 77}, {50, 76}, {15, 113}, {191, 192},
{95, 222}, {109, 236}, {113, 240}, {98, 225}, {115, 240}, {77, 200}, {50, 180},
{59, 188}, {39, 175}, {110, 231}, {82, 216}, {111, 229}, {63, 180}, {81, 218},
{124, 241}, {45, 189}, {70, 214}, {64, 208}, {47, 191}, {46, 190}, {33, 176},
{85, 196}, {44, 190}, {41, 186}, {93, 200}, {22, 128}, {73, 223}, {31, 137},
{30, 136}, {23, 129}, {43, 188}, {72, 223}, {90, 205}, {70, 222}, {122, 227},
{24, 130}, {75, 209}, {43, 177}, {29, 135}, {28, 134}, {25, 131}, {94, 196},
{115, 233}, {124, 230}, {35, 184}, {121, 226}, {38, 186}, {39, 187}, {36, 185},
{26, 132}, {27, 133}, {89, 199}, {67, 220}, {86, 201}, {53, 149}, {119, 215},
{74, 235}, {97, 192}, {113, 208}, {73, 234}, {55, 147}, {56, 156}, {100, 193},
{105, 193}, {116, 221}, {32, 138}, {33, 139}, {68, 232}, {69, 233}, {38, 139},
{58, 148}, {79, 225}, {79, 224}, {25, 169}, {31, 175}, {30, 174}, {29, 173},
{28, 172}, {27, 171}, {26, 170}, {107, 219}, {123, 203}, {57, 136}, {120, 201},
{127, 206}, {59, 142}, {87, 225}, {40, 159}, {51, 132}, {52, 142}, {60, 135},
{114, 207}, {102, 216}, {108, 210}, {23, 168}, {87, 151}, {83, 145}, {109, 175},
{123, 185}, {64, 132}, {102, 160}, {126, 184}, {80, 152}, {66, 137}, {91, 144},
{65, 140}, {78, 128}, {88, 150}, {127, 177}, {66, 141}, {94, 142}, {119, 167},
{89, 139}, {101, 183}, {125, 174}, {90, 143}, {90, 140}, {91, 141}, {78, 153},
{116, 163}, {119, 160}, {91, 131}, {120, 161}, {122, 163}, {124, 165}, {126,
167}, {103, 188}, {121, 162}, {125, 166}, {122, 167}, {96, 191}, {121, 166},
{123, 164}, {107, 139}, {58, 219}, {62, 220}, {63, 221}, {103, 133}, {112, 146},
{118, 146}, {48, 213}, {71, 162}, {126, 152}, {84, 188}, {118, 159}, {72, 163},
{117, 158}, {118, 157}, {68, 168}, {111, 130}, {114, 156}, {115, 157}, {96,
143}, {48, 192}, {74, 187}, {97, 144}, {50, 193}, {98, 145}, {103, 148}, {107,
152}, {54, 195}, {105, 156}, {108, 153}, {110, 155}, {52, 194}, {100, 146},
{101, 147}, {109, 154}, {42, 210}, {46, 212}, {82, 169}, {62, 194}, {106, 151},
{45, 211}, {76, 178}, {61, 195}, {76, 179}, {105, 150} }>;
(II) A more general form is to represent the graph as the orbit of {2, 3}
under the group generated by the following permutations:
a: (1, 2, 3, 5, 8, 13, 21, 34, 55, 88, 20, 4)(6, 10, 17, 27, 44, 71, 37, 60, 96,
147, 126, 30)(7, 12, 19, 31, 50, 81, 127, 104, 99, 150, 118, 28)(9, 15, 25, 40,
65, 53, 86, 135, 191, 178, 167, 43)(11, 18, 29, 47, 76, 119, 177, 72, 113, 169,
159, 41)(14, 23, 38, 61, 98, 149, 201, 228, 239, 237, 122, 64)(16, 26, 42, 68,
107, 160, 189, 223, 240, 243, 202, 62)(22, 36, 59, 94, 145, 198, 199, 197, 224,
241, 227, 97)(24, 39, 63, 101, 152, 174, 45, 73, 115, 171, 190, 95)(32, 52, 85,
133, 108, 162, 58, 93, 143, 155, 184, 136)(33, 54, 87, 137, 193, 218, 206, 67,
106, 158, 146, 134)(35, 57, 92, 142, 196, 213, 153, 203, 148, 200, 226, 144)(46,
75, 117, 175, 180, 49, 80, 125, 66, 105, 157, 172)(48, 78, 123, 103, 77, 121,
91, 56, 90, 110, 165, 182)(51, 83, 131, 89, 140, 79, 124, 181, 192, 128, 185,
188)(69, 109, 164, 70, 111, 166, 141, 156, 205, 231, 212, 209)(74, 116, 173,
120, 179, 215, 235, 163, 208, 82, 129, 186)(84, 132, 112, 168, 139, 195, 225,
230, 242, 217, 238, 220)(100, 151, 176)(102, 154, 204, 214, 229, 138, 194, 114,
170, 210, 232, 219)(130, 187, 221, 183, 161, 207, 211, 234, 233, 236, 216,
222) (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, 4, 7, 10)(3, 6, 11, 15)(5, 9, 16, 23)(8, 14, 24, 36)(12, 20, 33, 52)(13,
22, 37, 57)(17, 28, 46, 73)(18, 30, 49, 78)(19, 32, 53, 83)(21, 35, 58, 90)(25,
41, 67, 105)(26, 43, 70, 109)(27, 45, 74, 113)(29, 48, 79, 121)(31, 51, 84,
129)(34, 56, 91, 140)(38, 62, 100, 150)(39, 64, 103, 154)(40, 66, 61, 99)(42,
69, 110, 162)(44, 72, 114, 168)(47, 77, 122, 179)(50, 82, 130, 185)(54, 88, 139,
194)(55, 89, 141, 195)(59, 95, 146, 158)(60, 97, 148, 143)(63, 102, 155,
203)(65, 104, 156, 131)(68, 108, 163, 207)(71, 112, 117, 92)(75, 118, 176,
142)(76, 120, 111, 167)(80, 126, 107, 161)(81, 128, 86, 136)(85, 134, 190,
223)(87, 138, 149, 145)(93, 144, 197, 96)(94, 106, 159, 137)(98, 125, 183,
198)(101, 153, 116, 174)(115, 172, 212, 234)(119, 178, 201, 229)(123, 180, 216,
204)(124, 182, 218, 238)(127, 184, 219, 205)(132, 188, 222, 175)(133, 189, 187,
208)(135, 192, 224, 226)(147, 199, 221, 160)(151, 202, 230, 196)(157, 206, 165,
209)(166, 173, 213, 225)(169, 186, 220, 193)(170, 177, 214, 236)(171, 211, 235,
240)(181, 217, 239, 241)(191, 200, 227, 228)(210, 233, 231, 232)(215, 237, 242,
243)
C4[ 243, 29 ]
243
-1 2 4 7 10
-2 1 12 3 17
-3 2 5 27 19
-4 1 6 28 20
-5 44 3 8 31
-6 45 4 9 32
-7 11 33 1 46
-8 13 5 71 50
-9 14 6 72 51
-10 1 15 73 52
-11 16 7 74 53
-12 2 18 75 54
-13 37 81 8 21
-14 22 112 82 9
-15 23 113 83 10
-16 11 24 114 84
-17 2 25 115 85
-18 12 26 116 86
-19 3 29 117 87
-20 88 4 30 118
-21 34 13 60 127
-22 35 57 14 128
-23 36 168 15 129
-24 37 16 117 130
-25 169 38 17 131
-26 132 170 39 18
-27 133 3 171 40
-28 134 4 172 41
-29 135 19 173 42
-30 136 20 174 43
-31 47 5 137 175
-32 48 92 6 138
-33 176 49 7 139
-34 55 104 96 21
-35 22 56 184 97
-36 23 57 92 185
-37 13 24 58 86
-38 25 59 139 186
-39 187 26 60 175
-40 89 27 159 61
-41 28 62 65 186
-42 210 112 29 63
-43 177 188 30 64
-44 190 5 108 65
-45 66 189 211 6
-46 67 190 212 7
-47 68 191 31 120
-48 69 213 192 32
-49 33 101 70 81
-50 180 193 8 76
-51 77 132 94 9
-52 78 194 10 142
-53 11 79 71 149
-54 12 100 80 195
-55 88 99 34 147
-56 89 35 156 93
-57 22 90 36 136
-58 91 37 148 219
-59 188 92 38 142
-60 135 93 39 21
-61 94 40 74 195
-62 220 95 194 41
-63 221 180 96 42
-64 132 97 43 208
-65 44 41 140 98
-66 99 45 137 141
-67 220 100 46 104
-68 232 101 47 168
-69 233 102 48 117
-70 222 103 49 214
-71 95 8 162 53
-72 223 104 9 163
-73 223 234 105 10
-74 11 187 235 61
-75 209 12 95 106
-76 178 179 50 107
-77 111 200 51 108
-78 128 52 109 153
-79 110 224 225 53
-80 111 127 152 54
-81 13 49 119 218
-82 14 169 216 120
-83 121 112 145 15
-84 122 188 16 106
-85 123 114 17 196
-86 124 201 37 18
-87 125 225 19 151
-88 55 126 150 20
-89 56 199 40 139
-90 143 57 205 140
-91 144 58 141 131
-92 110 36 59 32
-93 56 200 102 60
-94 61 51 196 142
-95 222 71 62 75
-96 143 34 191 63
-97 144 35 192 64
-98 145 225 116 65
-99 55 66 113 106
-100 67 146 193 54
-101 68 147 49 183
-102 69 93 160 216
-103 133 188 70 148
-104 34 67 125 72
-105 156 193 73 150
-106 99 84 151 75
-107 139 152 76 219
-108 44 77 210 153
-109 154 78 236 175
-110 231 155 79 92
-111 77 80 130 229
-112 14 146 83 42
-113 99 15 240 208
-114 156 16 85 207
-115 233 157 17 240
-116 221 18 163 98
-117 24 69 158 19
-118 146 157 159 20
-119 167 81 160 215
-120 47 201 82 161
-121 166 83 226 162
-122 167 84 227 163
-123 203 85 185 164
-124 165 86 230 241
-125 166 104 174 87
-126 88 167 184 152
-127 177 80 206 21
-128 22 78 178 238
-129 23 222 179 159
-130 111 24 204 186
-131 198 25 91 168
-132 26 158 51 64
-133 103 213 27 170
-134 168 180 28 151
-135 60 181 29 228
-136 57 182 30 229
-137 66 176 31 230
-138 166 202 183 32
-139 33 89 38 107
-140 90 195 65 197
-141 66 221 91 194
-142 165 59 94 52
-143 154 90 226 96
-144 155 91 227 97
-145 213 83 196 98
-146 100 112 118 175
-147 55 155 101 178
-148 58 103 224 197
-149 198 173 53 230
-150 88 158 169 105
-151 134 106 218 87
-152 80 126 161 107
-153 198 78 199 108
-154 143 189 222 109
-155 110 144 147 204
-156 56 114 105 183
-157 115 205 118 218
-158 132 176 117 150
-159 202 40 118 129
-160 102 195 119 174
-161 194 205 152 120
-162 121 232 71 203
-163 122 233 72 116
-164 123 180 204 216
-165 124 212 184 142
-166 121 187 125 138
-167 122 126 119 185
-168 23 68 134 131
-169 243 25 82 150
-170 133 211 26 205
-171 243 27 236 172
-172 231 28 171 206
-173 149 29 183 208
-174 125 160 30 207
-175 146 39 31 109
-176 33 158 137 206
-177 189 235 127 43
-178 147 237 128 76
-179 129 228 207 76
-180 134 50 63 164
-181 242 135 182 227
-182 209 136 181 196
-183 101 156 138 173
-184 165 35 126 214
-185 220 123 167 36
-186 38 215 41 130
-187 166 214 39 74
-188 59 103 84 43
-189 154 45 177 225
-190 44 46 202 216
-191 47 192 96 239
-192 48 191 217 97
-193 242 100 50 105
-194 62 161 52 141
-195 61 160 140 54
-196 145 94 182 85
-197 148 203 140 228
-198 213 149 131 153
-199 89 201 203 153
-200 77 224 93 241
-201 242 199 86 120
-202 190 159 138 238
-203 199 123 162 197
-204 155 223 130 164
-205 90 157 170 161
-206 176 127 172 238
-207 231 179 114 174
-208 113 236 173 64
-209 234 182 75 219
-210 231 234 42 108
-211 45 212 170 215
-212 165 232 46 211
-213 198 133 145 48
-214 187 70 184 240
-215 211 239 119 186
-216 102 190 82 164
-217 243 192 228 218
-218 157 81 151 217
-219 209 58 236 107
-220 67 237 62 185
-221 116 63 141 229
-222 154 70 95 129
-223 72 204 73 230
-224 79 200 148 239
-225 79 189 87 98
-226 121 143 227 241
-227 122 144 181 226
-228 135 179 217 197
-229 111 221 243 136
-230 124 223 137 149
-231 110 210 172 207
-232 68 233 212 162
-233 232 69 115 163
-234 209 210 235 73
-235 177 234 237 74
-236 171 109 208 219
-237 220 178 235 241
-238 202 128 206 239
-239 191 224 215 238
-240 242 113 115 214
-241 200 124 226 237
-242 201 181 193 240
-243 169 171 217 229
0