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