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