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