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