Graph forms
for C4 [ 280, 15 ] = PS(4,140;13)
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On this page are computer-accessible forms for the graph C4[ 280, 15 ] =
PS(4,140;13).
(I) Following is a form readable by MAGMA:
g:=Graph<280|{ {136, 143}, {135, 142}, {134, 141}, {208, 222}, {209, 223}, {198,
212}, {207, 221}, {206, 220}, {203, 217}, {202, 216}, {199, 213}, {197, 211},
{205, 219}, {204, 218}, {137, 144}, {139, 146}, {138, 145}, {200, 214}, {201,
215}, {140, 147}, {210, 224}, {192, 247}, {200, 255}, {193, 248}, {199, 254},
{197, 252}, {195, 250}, {194, 249}, {198, 253}, {196, 251}, {128, 192}, {129,
193}, {130, 194}, {131, 195}, {132, 196}, {133, 197}, {134, 198}, {135, 199},
{136, 200}, {137, 201}, {138, 202}, {139, 203}, {140, 204}, {2, 71}, {58, 127},
{56, 125}, {50, 119}, {48, 117}, {8, 77}, {10, 79}, {16, 85}, {18, 87}, {24,
93}, {26, 95}, {32, 101}, {34, 103}, {40, 109}, {42, 111}, {1, 71}, {57, 127},
{56, 126}, {49, 119}, {48, 118}, {8, 78}, {9, 79}, {16, 86}, {17, 87}, {24, 94},
{25, 95}, {32, 102}, {33, 103}, {40, 110}, {41, 111}, {9, 78}, {57, 126}, {49,
118}, {17, 86}, {25, 94}, {33, 102}, {41, 110}, {157, 212}, {191, 246}, {159,
214}, {169, 224}, {171, 226}, {173, 228}, {175, 230}, {185, 240}, {187, 242},
{189, 244}, {2, 72}, {55, 125}, {54, 124}, {51, 121}, {50, 120}, {3, 73}, {6,
76}, {7, 77}, {18, 88}, {19, 89}, {22, 92}, {23, 93}, {34, 104}, {35, 105}, {38,
108}, {39, 109}, {3, 72}, {190, 245}, {55, 124}, {51, 120}, {7, 76}, {19, 88},
{23, 92}, {35, 104}, {39, 108}, {158, 213}, {170, 225}, {174, 229}, {186, 241},
{4, 73}, {54, 123}, {52, 121}, {6, 75}, {20, 89}, {22, 91}, {36, 105}, {38,
107}, {128, 205}, {130, 207}, {4, 74}, {53, 123}, {52, 122}, {5, 75}, {20, 90},
{21, 91}, {36, 106}, {37, 107}, {5, 74}, {53, 122}, {21, 90}, {37, 106}, {129,
206}, {156, 211}, {172, 227}, {188, 243}, {131, 208}, {160, 244}, {161, 245},
{162, 246}, {163, 247}, {168, 252}, {169, 253}, {170, 254}, {171, 255}, {132,
209}, {133, 210}, {176, 231}, {184, 239}, {177, 232}, {179, 234}, {181, 236},
{183, 238}, {10, 80}, {47, 117}, {46, 116}, {11, 81}, {14, 84}, {15, 85}, {42,
112}, {43, 113}, {11, 80}, {47, 116}, {15, 84}, {43, 112}, {178, 233}, {182,
237}, {164, 248}, {165, 249}, {166, 250}, {167, 251}, {12, 81}, {46, 115}, {44,
113}, {14, 83}, {12, 82}, {45, 115}, {44, 114}, {13, 83}, {13, 82}, {45, 114},
{180, 235}, {141, 225}, {142, 226}, {143, 227}, {156, 240}, {157, 241}, {158,
242}, {159, 243}, {144, 228}, {145, 229}, {146, 230}, {147, 231}, {152, 236},
{153, 237}, {154, 238}, {155, 239}, {160, 215}, {168, 223}, {161, 216}, {163,
218}, {165, 220}, {167, 222}, {26, 96}, {27, 97}, {30, 100}, {31, 101}, {27,
96}, {31, 100}, {162, 217}, {166, 221}, {148, 232}, {149, 233}, {150, 234},
{151, 235}, {28, 97}, {30, 99}, {28, 98}, {29, 99}, {29, 98}, {164, 219}, {72,
206}, {73, 207}, {71, 205}, {1, 140}, {74, 208}, {75, 209}, {76, 210}, {64,
225}, {70, 231}, {68, 229}, {66, 227}, {65, 226}, {69, 230}, {67, 228}, {115,
192}, {119, 196}, {123, 200}, {127, 204}, {116, 193}, {118, 195}, {124, 201},
{126, 203}, {117, 194}, {125, 202}, {58, 128}, {63, 133}, {62, 132}, {59, 129},
{59, 128}, {63, 132}, {64, 252}, {67, 255}, {66, 254}, {65, 253}, {60, 129},
{62, 131}, {120, 197}, {122, 199}, {60, 130}, {61, 131}, {61, 130}, {121, 198},
{77, 141}, {82, 146}, {81, 145}, {80, 144}, {79, 143}, {78, 142}, {83, 147},
{84, 148}, {85, 149}, {86, 150}, {87, 151}, {88, 152}, {89, 153}, {90, 154},
{91, 155}, {92, 156}, {93, 157}, {94, 158}, {95, 159}, {96, 160}, {97, 161},
{98, 162}, {99, 163}, {100, 164}, {101, 165}, {102, 166}, {103, 167}, {104,
168}, {105, 169}, {106, 170}, {107, 171}, {108, 172}, {109, 173}, {110, 174},
{111, 175}, {112, 176}, {113, 177}, {114, 178}, {115, 179}, {116, 180}, {117,
181}, {118, 182}, {119, 183}, {120, 184}, {121, 185}, {122, 186}, {123, 187},
{124, 188}, {125, 189}, {126, 190}, {127, 191}, {23, 211}, {63, 251}, {62, 250},
{61, 249}, {60, 248}, {55, 243}, {54, 242}, {53, 241}, {52, 240}, {47, 235},
{46, 234}, {45, 233}, {44, 232}, {28, 216}, {29, 217}, {30, 218}, {31, 219},
{36, 224}, {37, 225}, {38, 226}, {39, 227}, {64, 133}, {66, 135}, {64, 134},
{65, 135}, {65, 134}, {66, 136}, {70, 140}, {67, 137}, {67, 136}, {24, 212},
{59, 247}, {58, 246}, {57, 245}, {56, 244}, {25, 213}, {26, 214}, {27, 215},
{40, 228}, {41, 229}, {42, 230}, {43, 231}, {68, 137}, {82, 159}, {80, 157},
{70, 139}, {96, 173}, {98, 175}, {112, 189}, {114, 191}, {68, 138}, {69, 139},
{69, 138}, {81, 158}, {97, 174}, {113, 190}, {71, 148}, {79, 156}, {75, 152},
{99, 176}, {103, 180}, {107, 184}, {111, 188}, {76, 153}, {78, 155}, {100, 177},
{102, 179}, {108, 185}, {110, 187}, {77, 154}, {101, 178}, {109, 186}, {48,
236}, {51, 239}, {50, 238}, {49, 237}, {72, 149}, {74, 151}, {104, 181}, {106,
183}, {63, 224}, {73, 150}, {105, 182}, {50, 211}, {62, 223}, {60, 221}, {58,
219}, {56, 217}, {54, 215}, {52, 213}, {53, 214}, {61, 222}, {57, 218}, {8,
239}, {59, 220}, {51, 212}, {16, 247}, {24, 255}, {1, 232}, {3, 234}, {5, 236},
{7, 238}, {17, 248}, {19, 250}, {21, 252}, {23, 254}, {2, 233}, {6, 237}, {18,
249}, {22, 253}, {4, 235}, {55, 216}, {20, 251}, {83, 160}, {87, 164}, {91,
168}, {95, 172}, {84, 161}, {86, 163}, {92, 169}, {94, 171}, {85, 162}, {93,
170}, {9, 240}, {11, 242}, {13, 244}, {15, 246}, {10, 241}, {14, 245}, {32,
220}, {33, 221}, {34, 222}, {35, 223}, {88, 165}, {90, 167}, {12, 243}, {89,
166}, {1, 259}, {4, 262}, {5, 263}, {8, 266}, {9, 267}, {12, 270}, {13, 271},
{16, 274}, {17, 275}, {20, 278}, {21, 279}, {2, 260}, {3, 261}, {10, 268}, {11,
269}, {18, 276}, {19, 277}, {6, 264}, {7, 265}, {22, 280}, {25, 256}, {27, 258},
{29, 260}, {31, 262}, {26, 257}, {30, 261}, {14, 272}, {15, 273}, {28, 259},
{32, 263}, {48, 279}, {40, 271}, {33, 264}, {49, 280}, {35, 266}, {37, 268},
{39, 270}, {34, 265}, {38, 269}, {36, 267}, {41, 272}, {47, 278}, {45, 276},
{43, 274}, {42, 273}, {46, 277}, {44, 275}, {68, 256}, {70, 258}, {69, 257},
{143, 268}, {147, 272}, {151, 276}, {155, 280}, {142, 267}, {148, 273}, {150,
275}, {141, 266}, {149, 274}, {152, 277}, {154, 279}, {153, 278}, {144, 269},
{146, 271}, {145, 270}, {172, 256}, {191, 275}, {190, 274}, {189, 273}, {173,
257}, {174, 258}, {175, 259}, {188, 272}, {176, 260}, {177, 261}, {178, 262},
{179, 263}, {184, 268}, {185, 269}, {186, 270}, {187, 271}, {180, 264}, {181,
265}, {182, 266}, {183, 267}, {201, 256}, {207, 262}, {205, 260}, {203, 258},
{202, 257}, {206, 261}, {204, 259}, {192, 276}, {195, 279}, {194, 278}, {193,
277}, {208, 263}, {209, 264}, {210, 265}, {196, 280} }>;
(II) A more general form is to represent the graph as the orbit of {136, 143}
under the group generated by the following permutations:
a: (2, 70)(3, 69)(4, 68)(5, 67)(6, 66)(7, 65)(8, 64)(9, 63)(10, 62)(11, 61)(12,
60)(13, 59)(14, 58)(15, 57)(16, 56)(17, 55)(18, 54)(19, 53)(20, 52)(21, 51)(22,
50)(23, 49)(24, 48)(25, 47)(26, 46)(27, 45)(28, 44)(29, 43)(30, 42)(31, 41)(32,
40)(33, 39)(34, 38)(35, 37)(71, 140)(72, 139)(73, 138)(74, 137)(75, 136)(76,
135)(77, 134)(78, 133)(79, 132)(80, 131)(81, 130)(82, 129)(83, 128)(84, 127)(85,
126)(86, 125)(87, 124)(88, 123)(89, 122)(90, 121)(91, 120)(92, 119)(93, 118)(94,
117)(95, 116)(96, 115)(97, 114)(98, 113)(99, 112)(100, 111)(101, 110)(102,
109)(103, 108)(104, 107)(105, 106)(142, 210)(143, 209)(144, 208)(145, 207)(146,
206)(147, 205)(148, 204)(149, 203)(150, 202)(151, 201)(152, 200)(153, 199)(154,
198)(155, 197)(156, 196)(157, 195)(158, 194)(159, 193)(160, 192)(161, 191)(162,
190)(163, 189)(164, 188)(165, 187)(166, 186)(167, 185)(168, 184)(169, 183)(170,
182)(171, 181)(172, 180)(173, 179)(174, 178)(175, 177)(211, 280)(212, 279)(213,
278)(214, 277)(215, 276)(216, 275)(217, 274)(218, 273)(219, 272)(220, 271)(221,
270)(222, 269)(223, 268)(224, 267)(225, 266)(226, 265)(227, 264)(228, 263)(229,
262)(230, 261)(231, 260)(232, 259)(233, 258)(234, 257)(235, 256)(236, 255)(237,
254)(238, 253)(239, 252)(240, 251)(241, 250)(242, 249)(243, 248)(244, 247)(245,
246) (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, 71, 205, 219, 31, 101, 165, 249, 61, 131, 195, 279, 21, 91, 155, 239, 51,
121, 185, 269, 11, 81, 145, 229, 41, 111, 175, 259)(2, 128, 164, 262, 32, 88,
194, 222, 62, 118, 154, 252, 22, 78, 184, 212, 52, 108, 144, 242, 12, 138, 174,
272, 42, 98, 204, 232)(3, 115, 193, 235, 33, 75, 153, 265, 63, 105, 183, 225,
23, 135, 143, 255, 53, 95, 173, 215, 13, 125, 203, 245, 43, 85, 163, 275)(4,
102, 152, 278, 34, 132, 182, 238, 64, 92, 142, 268, 24, 122, 172, 228, 54, 82,
202, 258, 14, 112, 162, 218, 44, 72, 192, 248)(5, 89, 181, 251, 35, 119, 141,
211, 65, 79, 171, 241, 25, 109, 201, 271, 55, 139, 161, 231, 15, 99, 191, 261,
45, 129, 151, 221)(6, 76, 210, 224, 36, 106, 170, 254, 66, 136, 200, 214, 26,
96, 160, 244, 56, 126, 190, 274, 16, 86, 150, 234, 46, 116, 180, 264)(7, 133,
169, 267, 37, 93, 199, 227, 67, 123, 159, 257, 27, 83, 189, 217, 57, 113, 149,
247, 17, 73, 179, 277, 47, 103, 209, 237)(8, 120, 198, 240, 38, 80, 158, 270,
68, 110, 188, 230, 28, 140, 148, 260, 58, 100, 178, 220, 18, 130, 208, 250, 48,
90, 168, 280)(9, 107, 157, 213, 39, 137, 187, 243, 69, 97, 147, 273, 29, 127,
177, 233, 59, 87, 207, 263, 19, 117, 167, 223, 49, 77, 197, 253)(10, 94, 186,
256, 40, 124, 146, 216, 70, 84, 176, 246, 30, 114, 206, 276, 60, 74, 166, 236,
20, 104, 196, 266, 50, 134, 156, 226)
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, 253, 254, 255, 256, 257, 258, 259, 260,
261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276,
277, 278, 279, 280)
C4[ 280, 15 ]
280
-1 232 71 259 140
-2 233 71 72 260
-3 234 72 73 261
-4 235 73 74 262
-5 236 74 75 263
-6 264 237 75 76
-7 77 265 238 76
-8 77 78 266 239
-9 78 79 267 240
-10 79 80 268 241
-11 242 80 81 269
-12 243 81 82 270
-13 244 82 83 271
-14 245 83 84 272
-15 246 84 85 273
-16 247 85 86 274
-17 275 248 86 87
-18 88 276 249 87
-19 88 89 277 250
-20 89 90 278 251
-21 90 91 279 252
-22 253 91 92 280
-23 254 211 92 93
-24 255 212 93 94
-25 256 213 94 95
-26 257 214 95 96
-27 258 215 96 97
-28 259 216 97 98
-29 99 260 217 98
-30 99 100 261 218
-31 100 101 262 219
-32 220 101 102 263
-33 264 221 102 103
-34 265 222 103 104
-35 266 223 104 105
-36 267 224 105 106
-37 268 225 106 107
-38 269 226 107 108
-39 270 227 108 109
-40 110 271 228 109
-41 110 111 272 229
-42 111 112 273 230
-43 231 112 113 274
-44 275 232 113 114
-45 276 233 114 115
-46 277 234 115 116
-47 278 235 116 117
-48 279 236 117 118
-49 280 237 118 119
-50 211 238 119 120
-51 121 212 239 120
-52 121 122 213 240
-53 122 123 214 241
-54 242 123 124 215
-55 243 124 125 216
-56 244 125 126 217
-57 245 126 127 218
-58 246 127 128 219
-59 220 247 128 129
-60 221 248 129 130
-61 222 249 130 131
-62 132 223 250 131
-63 132 133 224 251
-64 133 134 225 252
-65 253 134 135 226
-66 254 135 136 227
-67 255 136 137 228
-68 256 137 138 229
-69 257 138 139 230
-70 231 258 139 140
-71 1 2 148 205
-72 2 3 149 206
-73 3 4 150 207
-74 4 5 151 208
-75 209 5 6 152
-76 210 6 7 153
-77 154 7 8 141
-78 155 8 9 142
-79 143 156 9 10
-80 11 144 157 10
-81 11 12 145 158
-82 12 13 146 159
-83 13 14 147 160
-84 14 15 148 161
-85 15 16 149 162
-86 16 17 150 163
-87 17 18 151 164
-88 165 18 19 152
-89 166 19 20 153
-90 154 167 20 21
-91 22 155 168 21
-92 22 23 156 169
-93 23 24 157 170
-94 24 25 158 171
-95 25 26 159 172
-96 26 27 160 173
-97 27 28 161 174
-98 28 29 162 175
-99 176 29 30 163
-100 177 30 31 164
-101 165 178 31 32
-102 33 166 179 32
-103 33 34 167 180
-104 34 35 168 181
-105 35 36 169 182
-106 36 37 170 183
-107 37 38 171 184
-108 38 39 172 185
-109 39 40 173 186
-110 187 40 41 174
-111 188 41 42 175
-112 176 189 42 43
-113 44 177 190 43
-114 44 45 178 191
-115 45 46 179 192
-116 46 47 180 193
-117 47 48 181 194
-118 48 49 182 195
-119 49 50 183 196
-120 50 51 184 197
-121 198 51 52 185
-122 199 52 53 186
-123 187 200 53 54
-124 55 188 201 54
-125 55 56 189 202
-126 56 57 190 203
-127 57 58 191 204
-128 58 59 192 205
-129 59 60 193 206
-130 60 61 194 207
-131 61 62 195 208
-132 209 62 63 196
-133 210 63 64 197
-134 198 64 141 65
-135 66 199 65 142
-136 66 143 67 200
-137 67 144 68 201
-138 68 145 69 202
-139 69 146 70 203
-140 1 70 147 204
-141 77 134 266 225
-142 78 135 267 226
-143 79 136 268 227
-144 80 137 269 228
-145 81 138 270 229
-146 82 139 271 230
-147 231 83 140 272
-148 232 71 84 273
-149 233 72 85 274
-150 275 234 73 86
-151 276 235 74 87
-152 88 277 236 75
-153 89 278 237 76
-154 77 90 279 238
-155 78 91 280 239
-156 79 211 92 240
-157 80 212 93 241
-158 242 81 213 94
-159 243 82 214 95
-160 244 83 215 96
-161 245 84 216 97
-162 246 85 217 98
-163 99 247 86 218
-164 100 248 87 219
-165 88 220 101 249
-166 89 221 102 250
-167 90 222 103 251
-168 91 223 104 252
-169 253 92 224 105
-170 254 93 225 106
-171 255 94 226 107
-172 256 95 227 108
-173 257 96 228 109
-174 110 258 97 229
-175 111 259 98 230
-176 99 231 112 260
-177 100 232 113 261
-178 101 233 114 262
-179 102 234 115 263
-180 264 103 235 116
-181 265 104 236 117
-182 266 105 237 118
-183 267 106 238 119
-184 268 107 239 120
-185 121 269 108 240
-186 122 270 109 241
-187 110 242 123 271
-188 111 243 124 272
-189 112 244 125 273
-190 113 245 126 274
-191 275 114 246 127
-192 276 115 247 128
-193 277 116 248 129
-194 278 117 249 130
-195 279 118 250 131
-196 132 280 119 251
-197 133 211 120 252
-198 121 253 134 212
-199 122 254 135 213
-200 123 255 136 214
-201 124 256 137 215
-202 125 257 138 216
-203 126 258 139 217
-204 127 259 140 218
-205 71 128 260 219
-206 220 72 129 261
-207 221 73 130 262
-208 222 74 131 263
-209 132 264 223 75
-210 133 265 224 76
-211 23 156 50 197
-212 198 24 157 51
-213 199 25 158 52
-214 200 26 159 53
-215 201 27 160 54
-216 55 202 28 161
-217 56 203 29 162
-218 57 204 30 163
-219 58 205 31 164
-220 165 59 206 32
-221 33 166 60 207
-222 34 167 61 208
-223 209 35 168 62
-224 210 36 169 63
-225 37 170 64 141
-226 38 171 65 142
-227 66 143 39 172
-228 67 144 40 173
-229 68 145 41 174
-230 69 146 42 175
-231 176 70 147 43
-232 44 1 177 148
-233 45 2 178 149
-234 46 3 179 150
-235 47 4 180 151
-236 48 5 181 152
-237 49 6 182 153
-238 154 50 7 183
-239 155 51 8 184
-240 156 52 9 185
-241 157 53 10 186
-242 11 187 158 54
-243 55 12 188 159
-244 56 13 189 160
-245 57 14 190 161
-246 58 15 191 162
-247 59 16 192 163
-248 60 17 193 164
-249 165 61 18 194
-250 166 62 19 195
-251 167 63 20 196
-252 168 64 21 197
-253 22 198 169 65
-254 66 23 199 170
-255 67 24 200 171
-256 68 25 201 172
-257 69 26 202 173
-258 70 27 203 174
-259 1 28 204 175
-260 176 2 29 205
-261 177 3 30 206
-262 178 4 31 207
-263 179 5 32 208
-264 33 209 180 6
-265 34 210 181 7
-266 35 182 8 141
-267 36 183 9 142
-268 143 37 184 10
-269 11 144 38 185
-270 12 145 39 186
-271 187 13 146 40
-272 188 14 147 41
-273 189 15 148 42
-274 190 16 149 43
-275 44 191 17 150
-276 45 192 18 151
-277 46 193 19 152
-278 47 194 20 153
-279 154 48 195 21
-280 22 155 49 196
0