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