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