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