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