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