Graph forms
for C4 [ 253, 5 ] = PS(11,23;5)
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On this page are computer-accessible forms for the graph C4[ 253, 5 ] =
PS(11,23;5).
(I) Following is a form readable by MAGMA:
g:=Graph<253|{ {68, 70}, {69, 71}, {136, 139}, {112, 116}, {113, 117}, {114,
118}, {115, 119}, {42, 47}, {137, 140}, {184, 190}, {138, 141}, {160, 168},
{161, 169}, {84, 94}, {183, 189}, {182, 188}, {179, 185}, {85, 95}, {224, 235},
{228, 239}, {224, 236}, {227, 239}, {226, 238}, {225, 237}, {80, 93}, {227,
238}, {225, 236}, {82, 95}, {83, 93}, {181, 187}, {180, 186}, {23, 24}, {226,
237}, {160, 175}, {81, 94}, {192, 208}, {207, 223}, {206, 222}, {205, 221},
{204, 220}, {203, 219}, {202, 218}, {201, 217}, {200, 216}, {199, 215}, {198,
214}, {197, 213}, {196, 212}, {195, 211}, {194, 210}, {193, 209}, {161, 176},
{174, 191}, {172, 189}, {170, 187}, {168, 185}, {32, 50}, {45, 63}, {44, 62},
{41, 59}, {40, 58}, {37, 55}, {36, 54}, {33, 51}, {100, 119}, {173, 190}, {169,
186}, {104, 123}, {108, 127}, {128, 148}, {230, 242}, {229, 241}, {228, 240},
{138, 158}, {137, 157}, {136, 156}, {129, 149}, {130, 150}, {131, 151}, {64,
85}, {229, 240}, {66, 87}, {97, 116}, {99, 118}, {105, 124}, {107, 126}, {8,
30}, {43, 61}, {42, 60}, {35, 53}, {34, 52}, {9, 31}, {65, 86}, {230, 241},
{171, 188}, {98, 117}, {106, 125}, {1, 25}, {7, 31}, {6, 30}, {5, 29}, {4, 28},
{3, 27}, {2, 26}, {64, 89}, {207, 214}, {205, 212}, {203, 210}, {201, 208}, {66,
91}, {2, 24}, {7, 29}, {6, 28}, {3, 25}, {128, 154}, {129, 155}, {132, 158},
{133, 159}, {43, 48}, {206, 213}, {202, 209}, {67, 88}, {65, 90}, {96, 123},
{100, 127}, {32, 60}, {35, 63}, {34, 62}, {33, 61}, {132, 152}, {133, 153},
{134, 154}, {135, 155}, {44, 49}, {162, 191}, {68, 89}, {46, 51}, {97, 124},
{99, 126}, {101, 120}, {103, 122}, {4, 26}, {193, 223}, {192, 222}, {39, 57},
{38, 56}, {5, 27}, {130, 156}, {131, 157}, {45, 50}, {204, 211}, {69, 90}, {67,
92}, {98, 125}, {102, 121}, {70, 103}, {153, 184}, {151, 182}, {149, 180}, {147,
178}, {145, 176}, {143, 174}, {141, 172}, {139, 170}, {72, 105}, {74, 107}, {76,
109}, {78, 111}, {80, 113}, {82, 115}, {194, 224}, {217, 251}, {216, 250}, {213,
247}, {212, 246}, {209, 243}, {208, 242}, {199, 229}, {198, 228}, {195, 225},
{73, 106}, {216, 251}, {212, 247}, {208, 243}, {150, 181}, {146, 177}, {142,
173}, {77, 110}, {81, 114}, {28, 56}, {31, 59}, {30, 58}, {29, 57}, {72, 108},
{73, 109}, {74, 110}, {75, 111}, {93, 120}, {217, 252}, {211, 246}, {209, 244},
{95, 122}, {134, 160}, {219, 253}, {218, 252}, {211, 245}, {210, 244}, {197,
227}, {196, 226}, {145, 183}, {144, 182}, {135, 161}, {75, 108}, {218, 253},
{210, 245}, {148, 179}, {140, 171}, {94, 121}, {8, 32}, {15, 39}, {14, 38}, {13,
37}, {12, 36}, {11, 35}, {10, 34}, {9, 33}, {10, 32}, {146, 184}, {15, 37}, {14,
36}, {11, 33}, {24, 52}, {71, 107}, {70, 106}, {27, 55}, {26, 54}, {25, 53},
{213, 248}, {215, 250}, {12, 34}, {215, 249}, {214, 248}, {200, 230}, {31, 49},
{30, 48}, {13, 35}, {1, 46}, {214, 249}, {152, 183}, {71, 104}, {147, 162},
{159, 174}, {157, 172}, {155, 170}, {153, 168}, {151, 166}, {149, 164}, {29,
47}, {83, 96}, {158, 173}, {154, 169}, {150, 165}, {87, 100}, {91, 104}, {220,
232}, {223, 235}, {222, 234}, {221, 233}, {84, 97}, {223, 234}, {221, 232}, {86,
99}, {92, 105}, {16, 38}, {17, 39}, {86, 96}, {87, 97}, {85, 98}, {222, 233},
{156, 171}, {148, 163}, {16, 40}, {159, 167}, {158, 166}, {157, 165}, {156,
164}, {155, 163}, {154, 162}, {22, 46}, {21, 45}, {20, 44}, {19, 43}, {18, 42},
{17, 41}, {18, 40}, {143, 181}, {142, 180}, {139, 177}, {23, 45}, {22, 44}, {19,
41}, {88, 98}, {89, 99}, {92, 102}, {220, 231}, {76, 112}, {219, 231}, {77,
113}, {78, 114}, {79, 115}, {88, 101}, {90, 103}, {20, 42}, {141, 179}, {140,
178}, {21, 43}, {90, 100}, {91, 101}, {79, 112}, {152, 167}, {144, 175}, {89,
102}, {24, 65}, {191, 230}, {189, 228}, {187, 226}, {185, 224}, {28, 69}, {26,
67}, {25, 66}, {190, 229}, {186, 225}, {27, 68}, {188, 227}, {186, 216}, {191,
221}, {190, 220}, {187, 217}, {163, 192}, {175, 204}, {171, 200}, {167, 196},
{36, 64}, {39, 67}, {38, 66}, {37, 65}, {164, 193}, {174, 203}, {172, 201},
{166, 195}, {188, 218}, {189, 219}, {47, 72}, {173, 202}, {165, 194}, {63, 88},
{55, 80}, {162, 202}, {167, 207}, {166, 206}, {165, 205}, {164, 204}, {163,
203}, {56, 81}, {62, 87}, {60, 85}, {58, 83}, {57, 82}, {63, 84}, {61, 86}, {59,
80}, {40, 68}, {48, 92}, {41, 69}, {60, 81}, {170, 199}, {168, 197}, {62, 83},
{46, 64}, {185, 215}, {59, 84}, {175, 192}, {169, 198}, {61, 82}, {176, 193},
{184, 201}, {182, 199}, {180, 197}, {178, 195}, {177, 194}, {181, 198}, {47,
91}, {50, 71}, {58, 79}, {56, 77}, {49, 70}, {179, 196}, {57, 78}, {48, 73},
{54, 79}, {52, 77}, {50, 75}, {49, 74}, {55, 76}, {53, 78}, {51, 72}, {52, 73},
{178, 207}, {176, 205}, {54, 75}, {51, 76}, {183, 200}, {177, 206}, {53, 74},
{117, 160}, {94, 136}, {95, 137}, {118, 161}, {93, 135}, {11, 232}, {23, 244},
{19, 240}, {15, 236}, {12, 233}, {22, 243}, {20, 241}, {14, 235}, {101, 128},
{103, 130}, {109, 136}, {111, 138}, {118, 144}, {119, 145}, {126, 152}, {127,
153}, {13, 234}, {21, 242}, {102, 129}, {110, 137}, {15, 231}, {96, 138}, {120,
146}, {121, 147}, {124, 150}, {125, 151}, {104, 131}, {108, 135}, {116, 159},
{124, 144}, {125, 145}, {126, 146}, {127, 147}, {10, 231}, {105, 132}, {107,
134}, {109, 128}, {111, 130}, {122, 148}, {123, 149}, {106, 133}, {110, 129},
{1, 240}, {13, 252}, {11, 250}, {9, 248}, {7, 246}, {5, 244}, {3, 242}, {2,
241}, {14, 253}, {10, 249}, {6, 245}, {112, 131}, {1, 245}, {9, 253}, {8, 252},
{3, 247}, {2, 246}, {120, 140}, {121, 141}, {122, 142}, {123, 143}, {113, 132},
{115, 134}, {4, 243}, {12, 251}, {114, 133}, {16, 232}, {23, 239}, {22, 238},
{21, 237}, {20, 236}, {19, 235}, {18, 234}, {17, 233}, {116, 142}, {117, 143},
{4, 248}, {7, 251}, {6, 250}, {5, 249}, {119, 139}, {16, 237}, {18, 239}, {8,
247}, {17, 238} }>;
(II) A more general form is to represent the graph as the orbit of {68, 70}
under the group generated by the following permutations:
a: (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, 253) (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: (2, 23)(3, 22)(4, 21)(5, 20)(6, 19)(7, 18)(8, 17)(9, 16)(10, 15)(11, 14)(12,
13)(25, 46)(26, 45)(27, 44)(28, 43)(29, 42)(30, 41)(31, 40)(32, 39)(33, 38)(34,
37)(35, 36)(48, 69)(49, 68)(50, 67)(51, 66)(52, 65)(53, 64)(54, 63)(55, 62)(56,
61)(57, 60)(58, 59)(71, 92)(72, 91)(73, 90)(74, 89)(75, 88)(76, 87)(77, 86)(78,
85)(79, 84)(80, 83)(81, 82)(94, 115)(95, 114)(96, 113)(97, 112)(98, 111)(99,
110)(100, 109)(101, 108)(102, 107)(103, 106)(104, 105)(117, 138)(118, 137)(119,
136)(120, 135)(121, 134)(122, 133)(123, 132)(124, 131)(125, 130)(126, 129)(127,
128)(140, 161)(141, 160)(142, 159)(143, 158)(144, 157)(145, 156)(146, 155)(147,
154)(148, 153)(149, 152)(150, 151)(163, 184)(164, 183)(165, 182)(166, 181)(167,
180)(168, 179)(169, 178)(170, 177)(171, 176)(172, 175)(173, 174)(186, 207)(187,
206)(188, 205)(189, 204)(190, 203)(191, 202)(192, 201)(193, 200)(194, 199)(195,
198)(196, 197)(209, 230)(210, 229)(211, 228)(212, 227)(213, 226)(214, 225)(215,
224)(216, 223)(217, 222)(218, 221)(219, 220)(232, 253)(233, 252)(234, 251)(235,
250)(236, 249)(237, 248)(238, 247)(239, 246)(240, 245)(241, 244)(242, 243)
c: (1, 24, 47, 70, 93, 116, 139, 162, 185, 208, 231)(2, 29, 49, 80, 97, 136,
147, 179, 201, 219, 240, 23, 42, 68, 83, 112, 119, 154, 168, 192, 220, 245)(3,
34, 51, 90, 101, 133, 155, 173, 194, 230, 249, 22, 37, 66, 73, 108, 122, 146,
174, 199, 209, 236)(4, 39, 53, 77, 105, 130, 140, 167, 187, 218, 235, 21, 32,
64, 86, 104, 125, 161, 180, 206, 221, 250)(5, 44, 55, 87, 109, 127, 148, 184,
203, 229, 244, 20, 27, 62, 76, 100, 128, 153, 163, 190, 210, 241)(6, 26, 57, 74,
113, 124, 156, 178, 196, 217, 253, 19, 45, 60, 89, 96, 131, 145, 169, 197, 222,
232)(7, 31, 59, 84, 94, 121, 141, 172, 189, 228, 239, 18, 40, 58, 79, 115, 134,
160, 175, 204, 211, 246)(8, 36, 61, 71, 98, 118, 149, 166, 205, 216, 248, 17,
35, 56, 92, 111, 137, 152, 181, 188, 223, 237)(9, 41, 63, 81, 102, 138, 157,
183, 198, 227, 234, 16, 30, 54, 82, 107, 117, 144, 164, 195, 212, 251)(10, 46,
65, 91, 106, 135, 142, 177, 191, 215, 243, 15, 25, 52, 72, 103, 120, 159, 170,
202, 224, 242)(11, 28, 67, 78, 110, 132, 150, 171, 207, 226, 252, 14, 43, 50,
85, 99, 123, 151, 176, 186, 213, 233)(12, 33, 69, 88, 114, 129, 158, 165, 200,
214, 238, 13, 38, 48, 75, 95, 126, 143, 182, 193, 225, 247)
C4[ 253, 5 ]
253
-1 46 25 245 240
-2 24 26 246 241
-3 242 25 27 247
-4 243 26 28 248
-5 244 27 29 249
-6 245 28 30 250
-7 246 29 31 251
-8 247 30 32 252
-9 33 253 248 31
-10 231 34 249 32
-11 33 232 35 250
-12 34 233 36 251
-13 35 234 37 252
-14 253 36 235 38
-15 231 37 236 39
-16 232 38 237 40
-17 233 39 238 41
-18 234 40 239 42
-19 235 41 240 43
-20 44 236 42 241
-21 242 45 237 43
-22 44 243 46 238
-23 45 24 244 239
-24 23 2 52 65
-25 66 1 3 53
-26 67 2 4 54
-27 55 68 3 5
-28 56 69 4 6
-29 57 47 5 7
-30 58 48 6 8
-31 59 49 7 9
-32 60 50 8 10
-33 11 61 51 9
-34 12 62 52 10
-35 11 13 63 53
-36 12 14 64 54
-37 55 13 15 65
-38 66 56 14 16
-39 67 57 15 17
-40 68 58 16 18
-41 69 59 17 19
-42 47 60 18 20
-43 48 61 19 21
-44 22 49 62 20
-45 23 50 63 21
-46 22 1 51 64
-47 91 72 29 42
-48 92 73 30 43
-49 44 70 74 31
-50 45 71 75 32
-51 33 46 72 76
-52 77 34 24 73
-53 78 35 25 74
-54 79 36 26 75
-55 80 37 27 76
-56 77 81 38 28
-57 78 82 39 29
-58 79 83 40 30
-59 80 84 41 31
-60 81 85 42 32
-61 33 82 86 43
-62 44 34 83 87
-63 88 45 35 84
-64 89 46 36 85
-65 24 90 37 86
-66 25 91 38 87
-67 88 26 92 39
-68 89 70 27 40
-69 90 71 28 41
-70 68 103 49 106
-71 69 104 50 107
-72 47 105 51 108
-73 48 106 52 109
-74 110 49 107 53
-75 111 50 108 54
-76 55 112 51 109
-77 110 56 113 52
-78 111 57 114 53
-79 112 58 115 54
-80 55 113 59 93
-81 56 114 60 94
-82 57 115 61 95
-83 58 93 62 96
-84 59 94 63 97
-85 60 95 64 98
-86 99 61 96 65
-87 66 100 62 97
-88 67 101 63 98
-89 99 68 102 64
-90 100 69 103 65
-91 66 101 47 104
-92 67 102 48 105
-93 80 135 83 120
-94 121 81 136 84
-95 122 82 137 85
-96 123 83 138 86
-97 124 116 84 87
-98 88 125 117 85
-99 89 126 118 86
-100 90 127 119 87
-101 88 91 128 120
-102 121 89 92 129
-103 122 90 70 130
-104 123 91 71 131
-105 132 124 92 72
-106 133 70 125 73
-107 134 71 126 74
-108 135 72 127 75
-109 136 73 128 76
-110 77 137 74 129
-111 78 138 75 130
-112 79 116 76 131
-113 77 132 80 117
-114 78 133 81 118
-115 79 134 82 119
-116 112 159 97 142
-117 143 113 160 98
-118 99 144 114 161
-119 100 145 115 139
-120 101 146 93 140
-121 102 147 94 141
-122 103 148 95 142
-123 143 104 149 96
-124 144 105 150 97
-125 145 106 151 98
-126 99 146 107 152
-127 100 147 108 153
-128 154 101 148 109
-129 110 155 102 149
-130 111 156 103 150
-131 112 157 104 151
-132 113 158 105 152
-133 114 159 106 153
-134 154 115 160 107
-135 155 93 161 108
-136 156 94 139 109
-137 110 157 95 140
-138 111 158 96 141
-139 177 136 170 119
-140 178 137 171 120
-141 121 179 138 172
-142 122 180 116 173
-143 123 181 117 174
-144 124 182 118 175
-145 176 125 183 119
-146 177 126 184 120
-147 121 178 127 162
-148 122 179 128 163
-149 123 180 129 164
-150 165 124 181 130
-151 166 125 182 131
-152 132 167 126 183
-153 133 168 127 184
-154 134 169 128 162
-155 135 170 129 163
-156 136 171 130 164
-157 165 137 172 131
-158 132 166 138 173
-159 133 167 116 174
-160 134 168 117 175
-161 176 135 169 118
-162 154 147 191 202
-163 155 148 192 203
-164 156 149 193 204
-165 157 150 194 205
-166 158 151 195 206
-167 159 152 196 207
-168 160 185 153 197
-169 154 198 161 186
-170 187 155 199 139
-171 188 156 200 140
-172 189 157 201 141
-173 190 158 202 142
-174 143 191 159 203
-175 144 192 160 204
-176 145 193 161 205
-177 146 139 194 206
-178 147 140 195 207
-179 148 141 185 196
-180 149 142 186 197
-181 143 187 198 150
-182 144 188 199 151
-183 145 189 200 152
-184 146 190 201 153
-185 168 179 224 215
-186 169 180 225 216
-187 170 181 226 217
-188 171 182 227 218
-189 172 183 228 219
-190 220 173 184 229
-191 221 162 174 230
-192 222 163 175 208
-193 176 209 223 164
-194 165 177 210 224
-195 166 178 211 225
-196 167 179 212 226
-197 168 180 213 227
-198 169 181 214 228
-199 170 182 215 229
-200 171 183 216 230
-201 172 184 217 208
-202 209 162 173 218
-203 210 163 174 219
-204 220 211 164 175
-205 165 176 221 212
-206 166 177 222 213
-207 167 178 223 214
-208 242 243 201 192
-209 243 244 202 193
-210 244 245 203 194
-211 245 246 204 195
-212 246 247 205 196
-213 247 248 206 197
-214 198 248 249 207
-215 199 249 250 185
-216 200 250 251 186
-217 187 201 251 252
-218 253 188 202 252
-219 231 253 189 203
-220 231 232 190 204
-221 232 233 191 205
-222 233 234 192 206
-223 234 235 193 207
-224 235 236 194 185
-225 236 237 195 186
-226 187 237 238 196
-227 188 238 239 197
-228 198 189 239 240
-229 199 190 240 241
-230 242 200 191 241
-231 220 15 10 219
-232 11 220 221 16
-233 12 221 222 17
-234 13 222 223 18
-235 14 223 224 19
-236 15 224 225 20
-237 16 225 226 21
-238 22 17 226 227
-239 23 18 227 228
-240 1 19 228 229
-241 2 20 229 230
-242 3 21 208 230
-243 22 209 4 208
-244 209 23 210 5
-245 1 210 211 6
-246 2 211 212 7
-247 3 212 213 8
-248 4 213 214 9
-249 5 214 215 10
-250 11 6 215 216
-251 12 7 216 217
-252 13 8 217 218
-253 14 9 218 219
0