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