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