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