Graph forms
for C4 [ 250, 2 ] = C_250(1,57)
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On this page are computer-accessible forms for the graph C4[ 250, 2 ] =
C_250(1,57).
(I) Following is a form readable by MAGMA:
g:=Graph<250|{ {2, 3}, {248, 249}, {246, 247}, {244, 245}, {242, 243}, {240,
241}, {238, 239}, {236, 237}, {234, 235}, {232, 233}, {230, 231}, {228, 229},
{226, 227}, {224, 225}, {222, 223}, {220, 221}, {218, 219}, {216, 217}, {214,
215}, {212, 213}, {210, 211}, {208, 209}, {206, 207}, {204, 205}, {202, 203},
{200, 201}, {198, 199}, {196, 197}, {194, 195}, {192, 193}, {100, 101}, {98,
99}, {96, 97}, {94, 95}, {92, 93}, {90, 91}, {88, 89}, {86, 87}, {84, 85}, {82,
83}, {80, 81}, {78, 79}, {76, 77}, {74, 75}, {72, 73}, {70, 71}, {68, 69}, {66,
67}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {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}, {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}, {1, 2}, {249,
250}, {245, 246}, {241, 242}, {237, 238}, {233, 234}, {229, 230}, {225, 226},
{221, 222}, {217, 218}, {213, 214}, {209, 210}, {205, 206}, {201, 202}, {197,
198}, {193, 194}, {101, 102}, {97, 98}, {93, 94}, {89, 90}, {85, 86}, {81, 82},
{77, 78}, {73, 74}, {69, 70}, {65, 66}, {61, 62}, {57, 58}, {53, 54}, {5, 6},
{9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38},
{41, 42}, {45, 46}, {49, 50}, {105, 106}, {109, 110}, {113, 114}, {117, 118},
{121, 122}, {125, 126}, {129, 130}, {133, 134}, {137, 138}, {141, 142}, {145,
146}, {149, 150}, {153, 154}, {157, 158}, {161, 162}, {165, 166}, {169, 170},
{173, 174}, {177, 178}, {181, 182}, {185, 186}, {189, 190}, {3, 4}, {243, 244},
{235, 236}, {227, 228}, {219, 220}, {211, 212}, {203, 204}, {195, 196}, {99,
100}, {91, 92}, {83, 84}, {75, 76}, {67, 68}, {59, 60}, {11, 12}, {19, 20}, {27,
28}, {35, 36}, {43, 44}, {51, 52}, {107, 108}, {115, 116}, {123, 124}, {131,
132}, {139, 140}, {147, 148}, {155, 156}, {163, 164}, {171, 172}, {179, 180},
{187, 188}, {7, 8}, {247, 248}, {231, 232}, {215, 216}, {199, 200}, {87, 88},
{71, 72}, {55, 56}, {23, 24}, {39, 40}, {103, 104}, {119, 120}, {135, 136},
{151, 152}, {167, 168}, {183, 184}, {15, 16}, {239, 240}, {207, 208}, {79, 80},
{47, 48}, {111, 112}, {143, 144}, {175, 176}, {2, 59}, {192, 249}, {70, 127},
{68, 125}, {66, 123}, {64, 121}, {4, 61}, {6, 63}, {128, 185}, {130, 187}, {132,
189}, {134, 191}, {1, 58}, {193, 250}, {69, 126}, {65, 122}, {5, 62}, {129,
186}, {133, 190}, {3, 60}, {223, 224}, {95, 96}, {67, 124}, {31, 32}, {131,
188}, {159, 160}, {7, 64}, {191, 248}, {63, 120}, {55, 112}, {15, 72}, {23, 80},
{31, 88}, {39, 96}, {47, 104}, {135, 192}, {143, 200}, {151, 208}, {159, 216},
{167, 224}, {175, 232}, {183, 240}, {8, 65}, {190, 247}, {62, 119}, {60, 117},
{58, 115}, {56, 113}, {10, 67}, {12, 69}, {14, 71}, {24, 81}, {26, 83}, {28,
85}, {30, 87}, {40, 97}, {42, 99}, {44, 101}, {46, 103}, {136, 193}, {138, 195},
{140, 197}, {142, 199}, {152, 209}, {154, 211}, {156, 213}, {158, 215}, {168,
225}, {170, 227}, {172, 229}, {174, 231}, {184, 241}, {186, 243}, {188, 245},
{9, 66}, {61, 118}, {57, 114}, {13, 70}, {25, 82}, {29, 86}, {41, 98}, {45,
102}, {137, 194}, {141, 198}, {153, 210}, {157, 214}, {169, 226}, {173, 230},
{185, 242}, {189, 246}, {11, 68}, {59, 116}, {27, 84}, {43, 100}, {139, 196},
{155, 212}, {171, 228}, {187, 244}, {16, 73}, {54, 111}, {52, 109}, {18, 75},
{20, 77}, {22, 79}, {48, 105}, {50, 107}, {144, 201}, {146, 203}, {148, 205},
{150, 207}, {176, 233}, {178, 235}, {180, 237}, {182, 239}, {17, 74}, {53, 110},
{21, 78}, {49, 106}, {145, 202}, {149, 206}, {177, 234}, {181, 238}, {19, 76},
{51, 108}, {147, 204}, {179, 236}, {32, 89}, {34, 91}, {36, 93}, {38, 95}, {160,
217}, {162, 219}, {164, 221}, {166, 223}, {33, 90}, {37, 94}, {161, 218}, {165,
222}, {35, 92}, {191, 192}, {63, 64}, {163, 220}, {2, 195}, {56, 249}, {54,
247}, {52, 245}, {4, 197}, {6, 199}, {8, 201}, {10, 203}, {12, 205}, {14, 207},
{16, 209}, {18, 211}, {20, 213}, {22, 215}, {24, 217}, {26, 219}, {28, 221},
{30, 223}, {32, 225}, {34, 227}, {36, 229}, {38, 231}, {40, 233}, {42, 235},
{44, 237}, {46, 239}, {48, 241}, {50, 243}, {1, 194}, {57, 250}, {53, 246}, {5,
198}, {9, 202}, {13, 206}, {17, 210}, {21, 214}, {25, 218}, {29, 222}, {33,
226}, {37, 230}, {41, 234}, {45, 238}, {49, 242}, {3, 196}, {95, 152}, {87,
144}, {79, 136}, {71, 128}, {11, 204}, {19, 212}, {27, 220}, {35, 228}, {43,
236}, {51, 244}, {103, 160}, {111, 168}, {119, 176}, {127, 184}, {72, 129}, {94,
151}, {92, 149}, {90, 147}, {88, 145}, {78, 135}, {76, 133}, {74, 131}, {104,
161}, {106, 163}, {108, 165}, {110, 167}, {120, 177}, {122, 179}, {124, 181},
{126, 183}, {73, 130}, {93, 150}, {89, 146}, {77, 134}, {105, 162}, {109, 166},
{121, 178}, {125, 182}, {7, 200}, {91, 148}, {75, 132}, {55, 248}, {23, 216},
{39, 232}, {107, 164}, {123, 180}, {80, 137}, {86, 143}, {84, 141}, {82, 139},
{112, 169}, {114, 171}, {116, 173}, {118, 175}, {81, 138}, {85, 142}, {113,
170}, {117, 174}, {15, 208}, {83, 140}, {47, 240}, {115, 172}, {96, 153}, {100,
157}, {98, 155}, {102, 159}, {1, 250}, {101, 158}, {97, 154}, {31, 224}, {99,
156}, {127, 128} }>;
(II) A more general form is to represent the graph as the orbit of {2, 3}
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, 194, 250, 58)(3, 137, 249, 115)(4, 80, 248, 172)(5, 23, 247, 229)(6, 216,
246, 36)(7, 159, 245, 93)(8, 102, 244, 150)(9, 45, 243, 207)(10, 238, 242,
14)(11, 181, 241, 71)(12, 124, 240, 128)(13, 67, 239, 185)(15, 203, 237, 49)(16,
146, 236, 106)(17, 89, 235, 163)(18, 32, 234, 220)(19, 225, 233, 27)(20, 168,
232, 84)(21, 111, 231, 141)(22, 54, 230, 198)(24, 190, 228, 62)(25, 133, 227,
119)(26, 76, 226, 176)(28, 212, 224, 40)(29, 155, 223, 97)(30, 98, 222, 154)(31,
41, 221, 211)(33, 177, 219, 75)(34, 120, 218, 132)(35, 63, 217, 189)(37, 199,
215, 53)(38, 142, 214, 110)(39, 85, 213, 167)(42, 164, 210, 88)(43, 107, 209,
145)(44, 50, 208, 202)(46, 186, 206, 66)(47, 129, 205, 123)(48, 72, 204,
180)(51, 151, 201, 101)(52, 94, 200, 158)(55, 173, 197, 79)(56, 116, 196,
136)(57, 59, 195, 193)(60, 138, 192, 114)(61, 81, 191, 171)(64, 160, 188,
92)(65, 103, 187, 149)(68, 182, 184, 70)(69, 125, 183, 127)(73, 147, 179,
105)(74, 90, 178, 162)(77, 169, 175, 83)(78, 112, 174, 140)(82, 134, 170,
118)(86, 156, 166, 96)(87, 99, 165, 153)(91, 121, 161, 131)(95, 143, 157,
109)(100, 108, 152, 144)(104, 130, 148, 122)(113, 117, 139, 135)
C4[ 250, 2 ]
250
-1 2 58 194 250
-2 1 3 59 195
-3 2 4 60 196
-4 3 5 61 197
-5 198 4 6 62
-6 199 5 7 63
-7 200 6 8 64
-8 201 7 9 65
-9 66 202 8 10
-10 11 67 203 9
-11 12 68 204 10
-12 11 13 69 205
-13 12 14 70 206
-14 13 15 71 207
-15 14 16 72 208
-16 209 15 17 73
-17 210 16 18 74
-18 211 17 19 75
-19 212 18 20 76
-20 77 213 19 21
-21 22 78 214 20
-22 23 79 215 21
-23 22 24 80 216
-24 23 25 81 217
-25 24 26 82 218
-26 25 27 83 219
-27 220 26 28 84
-28 221 27 29 85
-29 222 28 30 86
-30 223 29 31 87
-31 88 224 30 32
-32 33 89 225 31
-33 34 90 226 32
-34 33 35 91 227
-35 34 36 92 228
-36 35 37 93 229
-37 36 38 94 230
-38 231 37 39 95
-39 232 38 40 96
-40 233 39 41 97
-41 234 40 42 98
-42 99 235 41 43
-43 44 100 236 42
-44 45 101 237 43
-45 44 46 102 238
-46 45 47 103 239
-47 46 48 104 240
-48 47 49 105 241
-49 242 48 50 106
-50 243 49 51 107
-51 244 50 52 108
-52 245 51 53 109
-53 110 246 52 54
-54 55 111 247 53
-55 56 112 248 54
-56 55 57 113 249
-57 56 58 114 250
-58 1 57 59 115
-59 2 58 60 116
-60 3 59 61 117
-61 4 60 62 118
-62 5 61 63 119
-63 6 62 64 120
-64 121 7 63 65
-65 66 122 8 64
-66 67 123 9 65
-67 66 68 124 10
-68 11 67 69 125
-69 12 68 70 126
-70 13 69 71 127
-71 14 70 72 128
-72 15 71 73 129
-73 16 72 74 130
-74 17 73 75 131
-75 132 18 74 76
-76 77 133 19 75
-77 78 134 20 76
-78 77 79 135 21
-79 22 78 80 136
-80 23 79 81 137
-81 24 80 82 138
-82 25 81 83 139
-83 26 82 84 140
-84 27 83 85 141
-85 28 84 86 142
-86 143 29 85 87
-87 88 144 30 86
-88 89 145 31 87
-89 88 90 146 32
-90 33 89 91 147
-91 34 90 92 148
-92 35 91 93 149
-93 36 92 94 150
-94 37 93 95 151
-95 38 94 96 152
-96 39 95 97 153
-97 154 40 96 98
-98 99 155 41 97
-99 100 156 42 98
-100 99 101 157 43
-101 44 100 102 158
-102 45 101 103 159
-103 46 102 104 160
-104 47 103 105 161
-105 48 104 106 162
-106 49 105 107 163
-107 50 106 108 164
-108 165 51 107 109
-109 110 166 52 108
-110 111 167 53 109
-111 110 112 168 54
-112 55 111 113 169
-113 56 112 114 170
-114 57 113 115 171
-115 58 114 116 172
-116 59 115 117 173
-117 60 116 118 174
-118 61 117 119 175
-119 176 62 118 120
-120 121 177 63 119
-121 122 178 64 120
-122 121 123 179 65
-123 66 122 124 180
-124 67 123 125 181
-125 68 124 126 182
-126 69 125 127 183
-127 70 126 128 184
-128 71 127 129 185
-129 72 128 130 186
-130 187 73 129 131
-131 132 188 74 130
-132 133 189 75 131
-133 132 134 190 76
-134 77 133 135 191
-135 78 134 136 192
-136 79 135 137 193
-137 80 136 138 194
-138 81 137 139 195
-139 82 138 140 196
-140 83 139 141 197
-141 198 84 140 142
-142 143 199 85 141
-143 144 200 86 142
-144 143 145 201 87
-145 88 144 146 202
-146 89 145 147 203
-147 90 146 148 204
-148 91 147 149 205
-149 92 148 150 206
-150 93 149 151 207
-151 94 150 152 208
-152 209 95 151 153
-153 154 210 96 152
-154 155 211 97 153
-155 154 156 212 98
-156 99 155 157 213
-157 100 156 158 214
-158 101 157 159 215
-159 102 158 160 216
-160 103 159 161 217
-161 104 160 162 218
-162 105 161 163 219
-163 220 106 162 164
-164 165 221 107 163
-165 166 222 108 164
-166 165 167 223 109
-167 110 166 168 224
-168 111 167 169 225
-169 112 168 170 226
-170 113 169 171 227
-171 114 170 172 228
-172 115 171 173 229
-173 116 172 174 230
-174 231 117 173 175
-175 176 232 118 174
-176 177 233 119 175
-177 176 178 234 120
-178 121 177 179 235
-179 122 178 180 236
-180 123 179 181 237
-181 124 180 182 238
-182 125 181 183 239
-183 126 182 184 240
-184 127 183 185 241
-185 242 128 184 186
-186 187 243 129 185
-187 188 244 130 186
-188 187 189 245 131
-189 132 188 190 246
-190 133 189 191 247
-191 134 190 192 248
-192 135 191 193 249
-193 136 192 194 250
-194 1 137 193 195
-195 2 138 194 196
-196 3 139 195 197
-197 198 4 140 196
-198 199 5 141 197
-199 198 200 6 142
-200 143 199 201 7
-201 144 200 202 8
-202 145 201 203 9
-203 146 202 204 10
-204 11 147 203 205
-205 12 148 204 206
-206 13 149 205 207
-207 14 150 206 208
-208 209 15 151 207
-209 210 16 152 208
-210 209 211 17 153
-211 154 210 212 18
-212 155 211 213 19
-213 156 212 214 20
-214 157 213 215 21
-215 22 158 214 216
-216 23 159 215 217
-217 24 160 216 218
-218 25 161 217 219
-219 220 26 162 218
-220 221 27 163 219
-221 220 222 28 164
-222 165 221 223 29
-223 166 222 224 30
-224 167 223 225 31
-225 168 224 226 32
-226 33 169 225 227
-227 34 170 226 228
-228 35 171 227 229
-229 36 172 228 230
-230 231 37 173 229
-231 232 38 174 230
-232 231 233 39 175
-233 176 232 234 40
-234 177 233 235 41
-235 178 234 236 42
-236 179 235 237 43
-237 44 180 236 238
-238 45 181 237 239
-239 46 182 238 240
-240 47 183 239 241
-241 242 48 184 240
-242 243 49 185 241
-243 242 244 50 186
-244 187 243 245 51
-245 188 244 246 52
-246 189 245 247 53
-247 190 246 248 54
-248 55 191 247 249
-249 56 192 248 250
-250 1 57 193 249
0