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