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