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