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