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