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