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