Graph forms
for C4 [ 240, 141 ] =
PL(CS(Pr_10(1,4,3,2)[10^6],0))
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On this page are computer-accessible forms for the graph C4[ 240, 141 ] =
PL(CS(Pr_10(1,4,3,2)[10^6],0)).
(I) Following is a form readable by MAGMA:
g:=Graph<240|{ {37, 121}, {38, 121}, {26, 127}, {25, 127}, {22, 126}, {22, 127},
{21, 127}, {21, 126}, {17, 125}, {18, 126}, {17, 126}, {18, 125}, {13, 125},
{10, 123}, {13, 124}, {9, 123}, {14, 124}, {14, 125}, {9, 124}, {10, 124}, {1,
121}, {2, 122}, {1, 122}, {2, 121}, {6, 122}, {6, 123}, {5, 123}, {5, 122}, {3,
131}, {69, 197}, {4, 132}, {45, 173}, {112, 240}, {45, 172}, {7, 133}, {88,
218}, {102, 228}, {103, 229}, {109, 239}, {7, 132}, {75, 200}, {69, 198}, {51,
176}, {80, 211}, {88, 219}, {102, 229}, {103, 228}, {22, 146}, {75, 207}, {52,
176}, {51, 183}, {23, 147}, {24, 156}, {50, 182}, {76, 200}, {77, 201}, {22,
147}, {74, 207}, {51, 182}, {23, 146}, {24, 157}, {50, 183}, {86, 208}, {87,
209}, {104, 238}, {3, 132}, {4, 131}, {78, 201}, {86, 209}, {87, 208}, {104,
239}, {15, 135}, {21, 157}, {110, 230}, {12, 133}, {15, 134}, {21, 156}, {111,
230}, {12, 134}, {101, 239}, {111, 229}, {101, 238}, {110, 229}, {2, 142}, {54,
186}, {53, 185}, {8, 132}, {46, 162}, {47, 163}, {80, 220}, {83, 223}, {3, 142},
{72, 197}, {8, 133}, {11, 134}, {46, 163}, {47, 162}, {82, 223}, {3, 141}, {72,
198}, {11, 133}, {85, 219}, {2, 141}, {54, 185}, {53, 186}, {85, 218}, {24,
136}, {73, 217}, {24, 137}, {27, 138}, {27, 137}, {84, 198}, {4, 151}, {73,
218}, {20, 135}, {79, 220}, {84, 199}, {19, 135}, {31, 139}, {49, 165}, {50,
166}, {83, 199}, {28, 137}, {31, 138}, {76, 217}, {83, 198}, {1, 151}, {16,
134}, {28, 138}, {76, 218}, {16, 135}, {49, 166}, {50, 165}, {1, 152}, {25,
128}, {26, 128}, {74, 208}, {19, 136}, {75, 208}, {52, 175}, {4, 152}, {20,
136}, {29, 129}, {48, 172}, {51, 175}, {78, 210}, {79, 211}, {29, 128}, {48,
173}, {109, 240}, {23, 137}, {30, 128}, {93, 195}, {23, 136}, {30, 129}, {77,
210}, {93, 194}, {112, 239}, {33, 129}, {34, 130}, {107, 203}, {63, 158}, {77,
236}, {106, 203}, {63, 157}, {96, 194}, {8, 171}, {120, 219}, {33, 130}, {34,
129}, {96, 195}, {6, 162}, {120, 220}, {118, 210}, {8, 172}, {30, 186}, {31,
187}, {38, 130}, {39, 131}, {40, 140}, {42, 142}, {7, 162}, {119, 210}, {30,
187}, {31, 186}, {42, 143}, {103, 194}, {7, 161}, {119, 209}, {41, 143}, {77,
235}, {103, 193}, {106, 204}, {6, 161}, {118, 209}, {37, 130}, {41, 142}, {107,
204}, {25, 177}, {35, 139}, {36, 140}, {5, 172}, {117, 220}, {61, 148}, {25,
176}, {104, 193}, {32, 138}, {62, 148}, {104, 194}, {32, 139}, {39, 140}, {40,
131}, {48, 155}, {28, 176}, {48, 156}, {78, 226}, {28, 177}, {64, 237}, {62,
147}, {79, 226}, {5, 171}, {117, 219}, {64, 238}, {61, 147}, {79, 225}, {98,
204}, {99, 205}, {35, 140}, {36, 139}, {78, 225}, {98, 205}, {99, 204}, {43,
153}, {82, 224}, {89, 235}, {100, 214}, {12, 191}, {116, 199}, {43, 152}, {47,
156}, {83, 224}, {89, 234}, {100, 215}, {44, 152}, {47, 155}, {44, 153}, {9,
191}, {113, 199}, {92, 234}, {97, 215}, {92, 235}, {97, 214}, {81, 233}, {108,
213}, {113, 200}, {90, 224}, {91, 225}, {108, 214}, {80, 235}, {81, 234}, {90,
225}, {91, 224}, {10, 182}, {116, 200}, {26, 166}, {27, 167}, {45, 145}, {46,
146}, {80, 236}, {105, 213}, {11, 182}, {26, 167}, {27, 166}, {84, 233}, {11,
181}, {84, 234}, {10, 181}, {45, 146}, {46, 145}, {105, 214}, {41, 233}, {41,
232}, {98, 163}, {88, 154}, {97, 163}, {16, 211}, {88, 155}, {112, 179}, {14,
202}, {119, 179}, {16, 212}, {38, 226}, {39, 227}, {40, 236}, {44, 232}, {85,
145}, {109, 169}, {110, 170}, {112, 180}, {15, 202}, {119, 178}, {38, 227}, {39,
226}, {40, 237}, {44, 233}, {85, 144}, {95, 154}, {97, 164}, {15, 201}, {86,
144}, {95, 153}, {98, 164}, {14, 201}, {86, 145}, {109, 170}, {110, 169}, {37,
237}, {9, 192}, {57, 240}, {37, 236}, {100, 173}, {100, 174}, {120, 178}, {107,
160}, {120, 179}, {12, 192}, {114, 190}, {65, 141}, {60, 240}, {18, 222}, {87,
155}, {108, 160}, {19, 222}, {115, 190}, {87, 154}, {93, 144}, {99, 174}, {19,
221}, {115, 189}, {94, 144}, {99, 173}, {18, 221}, {114, 189}, {66, 141}, {61,
237}, {94, 143}, {102, 183}, {93, 143}, {101, 183}, {61, 238}, {68, 151}, {66,
150}, {67, 151}, {65, 150}, {29, 197}, {13, 212}, {29, 196}, {62, 228}, {60,
231}, {63, 228}, {111, 180}, {58, 230}, {117, 169}, {63, 227}, {111, 179}, {59,
230}, {117, 168}, {64, 157}, {62, 227}, {101, 184}, {13, 211}, {118, 168}, {64,
158}, {57, 231}, {102, 184}, {118, 169}, {53, 213}, {53, 212}, {59, 216}, {72,
171}, {67, 160}, {32, 196}, {113, 149}, {69, 161}, {68, 160}, {67, 167}, {60,
216}, {32, 197}, {66, 167}, {113, 148}, {59, 221}, {114, 148}, {94, 184}, {95,
185}, {58, 221}, {114, 149}, {70, 161}, {94, 185}, {95, 184}, {66, 168}, {116,
158}, {60, 215}, {116, 159}, {67, 168}, {34, 206}, {115, 159}, {71, 171}, {70,
170}, {59, 215}, {56, 212}, {35, 207}, {81, 189}, {34, 207}, {115, 158}, {56,
213}, {35, 206}, {81, 188}, {82, 188}, {69, 170}, {82, 189}, {49, 193}, {65,
177}, {49, 192}, {92, 174}, {20, 231}, {76, 191}, {71, 180}, {65, 178}, {55,
196}, {92, 175}, {108, 159}, {42, 222}, {75, 191}, {74, 190}, {58, 206}, {57,
205}, {55, 195}, {52, 192}, {43, 223}, {91, 175}, {107, 159}, {42, 223}, {68,
177}, {52, 193}, {43, 222}, {91, 174}, {17, 231}, {68, 178}, {57, 206}, {73,
190}, {58, 205}, {33, 217}, {17, 232}, {33, 216}, {96, 153}, {70, 188}, {96,
154}, {56, 195}, {71, 188}, {20, 232}, {73, 181}, {72, 180}, {71, 187}, {56,
196}, {55, 203}, {54, 202}, {36, 216}, {89, 165}, {105, 149}, {106, 150}, {36,
217}, {70, 187}, {55, 202}, {54, 203}, {89, 164}, {90, 164}, {74, 181}, {90,
165}, {105, 150}, {106, 149} }>;
(II) A more general form is to represent the graph as the orbit of {37, 121}
under the group generated by the following permutations:
a: (1, 2)(3, 4)(21, 22)(23, 24)(41, 44)(42, 43)(45, 48)(46, 47)(61, 64)(62,
63)(65, 68)(66, 67)(85, 88)(86, 87)(93, 96)(94, 95)(105, 108)(106, 107)(113,
116)(114, 115)(141, 151)(142, 152)(143, 153)(144, 154)(145, 155)(146, 156)(147,
157)(148, 158)(149, 159)(150, 160) (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, 5, 10, 14, 18, 21, 25, 30, 34, 38)(2, 6, 9, 13, 17, 22, 26, 29, 33,
37)(3, 7, 12, 16, 20, 23, 27, 32, 36, 40)(4, 8, 11, 15, 19, 24, 28, 31, 35,
39)(41, 46, 49, 56, 60, 61, 66, 69, 76, 80)(42, 47, 52, 53, 57, 62, 67, 72, 73,
77)(43, 48, 51, 54, 58, 63, 68, 71, 74, 78)(44, 45, 50, 55, 59, 64, 65, 70, 75,
79)(81, 86, 90, 96, 100, 101, 106, 110, 116, 120)(82, 87, 91, 95, 99, 102, 107,
111, 115, 119)(83, 88, 92, 94, 98, 103, 108, 112, 114, 118)(84, 85, 89, 93, 97,
104, 105, 109, 113, 117)(121, 122, 123, 124, 125, 126, 127, 128, 129, 130)(131,
132, 133, 134, 135, 136, 137, 138, 139, 140)(141, 161, 191, 211, 232, 146, 166,
196, 216, 237)(142, 162, 192, 212, 231, 147, 167, 197, 217, 236)(143, 163, 193,
213, 240, 148, 168, 198, 218, 235)(144, 164, 194, 214, 239, 149, 169, 199, 219,
234)(145, 165, 195, 215, 238, 150, 170, 200, 220, 233)(151, 171, 181, 201, 222,
156, 176, 186, 206, 227)(152, 172, 182, 202, 221, 157, 177, 187, 207, 226)(153,
173, 183, 203, 230, 158, 178, 188, 208, 225)(154, 174, 184, 204, 229, 159, 179,
189, 209, 224)(155, 175, 185, 205, 228, 160, 180, 190, 210, 223)
c: (5, 6)(7, 8)(17, 18)(19, 20)(25, 26)(27, 28)(37, 38)(39, 40)(41, 42)(43,
44)(45, 46)(47, 48)(49, 52)(50, 51)(57, 58)(59, 60)(61, 62)(63, 64)(65, 66)(67,
68)(69, 72)(70, 71)(77, 78)(79, 80)(81, 82)(83, 84)(89, 91)(90, 92)(97, 100)(98,
99)(101, 102)(103, 104)(109, 111)(110, 112)(117, 120)(118, 119)(161, 171)(162,
172)(163, 173)(164, 174)(165, 175)(166, 176)(167, 177)(168, 178)(169, 179)(170,
180)(221, 231)(222, 232)(223, 233)(224, 234)(225, 235)(226, 236)(227, 237)(228,
238)(229, 239)(230, 240)
d: (2, 4)(5, 43)(6, 44)(7, 41)(8, 42)(9, 95)(10, 96)(11, 93)(12, 94)(13, 88)(14,
87)(15, 86)(16, 85)(17, 47)(18, 48)(19, 45)(20, 46)(22, 24)(25, 63)(26, 64)(27,
61)(28, 62)(29, 115)(30, 116)(31, 113)(32, 114)(33, 108)(34, 107)(35, 106)(36,
105)(37, 67)(38, 68)(39, 65)(40, 66)(49, 101)(50, 104)(51, 103)(52, 102)(53,
76)(54, 75)(55, 74)(56, 73)(57, 98)(58, 99)(59, 100)(60, 97)(69, 81)(70, 84)(71,
83)(72, 82)(77, 118)(78, 119)(79, 120)(80, 117)(89, 109)(90, 112)(91, 111)(92,
110)(121, 151)(122, 152)(123, 153)(124, 154)(125, 155)(126, 156)(127, 157)(128,
158)(129, 159)(130, 160)(131, 141)(132, 142)(133, 143)(134, 144)(135, 145)(136,
146)(137, 147)(138, 148)(139, 149)(140, 150)(161, 233)(162, 232)(163, 231)(164,
240)(165, 239)(166, 238)(167, 237)(168, 236)(169, 235)(170, 234)(171, 223)(172,
222)(173, 221)(174, 230)(175, 229)(176, 228)(177, 227)(178, 226)(179, 225)(180,
224)(181, 195)(182, 194)(183, 193)(184, 192)(185, 191)(186, 200)(187, 199)(188,
198)(189, 197)(190, 196)(201, 209)(202, 208)(203, 207)(204, 206)(211, 219)(212,
218)(213, 217)(214, 216)
e: (17, 18)(19, 20)(37, 38)(39, 40)(41, 42)(43, 44)(57, 58)(59, 60)(61, 62)(63,
64)(77, 78)(79, 80)(81, 82)(83, 84)(89, 90)(91, 92)(101, 102)(103, 104)(109,
110)(111, 112)(221, 231)(222, 232)(223, 233)(224, 234)(225, 235)(226, 236)(227,
237)(228, 238)(229, 239)(230, 240)
f: (5, 38)(6, 37)(7, 40)(8, 39)(9, 33)(10, 34)(11, 35)(12, 36)(13, 29)(14,
30)(15, 31)(16, 32)(17, 26)(18, 25)(19, 28)(20, 27)(41, 66)(42, 65)(43, 68)(44,
67)(45, 62)(46, 61)(47, 64)(48, 63)(49, 60)(50, 57)(51, 58)(52, 59)(53, 55)(69,
80)(70, 77)(71, 78)(72, 79)(73, 75)(81, 118)(82, 119)(83, 120)(84, 117)(85,
113)(86, 114)(87, 115)(88, 116)(89, 109)(90, 112)(91, 111)(92, 110)(93, 105)(94,
106)(95, 107)(96, 108)(97, 104)(98, 101)(99, 102)(100, 103)(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, 236)(162, 237)(163, 238)(164, 239)(165, 240)(166,
231)(167, 232)(168, 233)(169, 234)(170, 235)(171, 226)(172, 227)(173, 228)(174,
229)(175, 230)(176, 221)(177, 222)(178, 223)(179, 224)(180, 225)(181, 207)(182,
206)(183, 205)(184, 204)(185, 203)(186, 202)(187, 201)(188, 210)(189, 209)(190,
208)(191, 217)(192, 216)(193, 215)(194, 214)(195, 213)(196, 212)(197, 211)(198,
220)(199, 219)(200, 218)
g: (13, 14)(15, 16)(33, 34)(35, 36)(53, 54)(55, 56)(57, 60)(58, 59)(73, 74)(75,
76)(77, 80)(78, 79)(85, 86)(87, 88)(97, 98)(99, 100)(105, 106)(107, 108)(117,
118)(119, 120)(201, 211)(202, 212)(203, 213)(204, 214)(205, 215)(206, 216)(207,
217)(208, 218)(209, 219)(210, 220)
h: (9, 10)(11, 12)(29, 30)(31, 32)(49, 50)(51, 52)(53, 56)(54, 55)(69, 70)(71,
72)(73, 76)(74, 75)(81, 84)(82, 83)(93, 94)(95, 96)(101, 104)(102, 103)(113,
114)(115, 116)(181, 191)(182, 192)(183, 193)(184, 194)(185, 195)(186, 196)(187,
197)(188, 198)(189, 199)(190, 200)
C4[ 240, 141 ]
240
-1 121 122 151 152
-2 121 122 141 142
-3 132 141 131 142
-4 132 151 152 131
-5 122 123 171 172
-6 122 123 161 162
-7 132 133 161 162
-8 132 133 171 172
-9 123 124 191 192
-10 123 124 181 182
-11 133 134 181 182
-12 133 134 191 192
-13 211 124 212 125
-14 124 201 125 202
-15 134 135 201 202
-16 134 211 135 212
-17 231 232 125 126
-18 221 222 125 126
-19 221 222 135 136
-20 231 232 135 136
-21 156 157 126 127
-22 146 147 126 127
-23 146 136 147 137
-24 156 157 136 137
-25 176 177 127 128
-26 166 167 127 128
-27 166 167 137 138
-28 176 177 137 138
-29 128 129 196 197
-30 187 128 129 186
-31 187 138 139 186
-32 138 139 196 197
-33 216 129 217 130
-34 129 206 130 207
-35 139 140 206 207
-36 139 216 140 217
-37 121 236 237 130
-38 121 226 227 130
-39 226 227 140 131
-40 236 237 140 131
-41 143 232 233 142
-42 143 222 223 142
-43 222 223 152 153
-44 232 233 152 153
-45 145 146 172 173
-46 145 146 162 163
-47 155 156 162 163
-48 155 156 172 173
-49 165 166 192 193
-50 165 166 182 183
-51 176 182 183 175
-52 176 192 193 175
-53 212 213 185 186
-54 202 203 185 186
-55 202 203 195 196
-56 212 213 195 196
-57 231 205 206 240
-58 221 205 206 230
-59 221 215 216 230
-60 231 215 216 240
-61 147 148 237 238
-62 147 148 227 228
-63 157 158 227 228
-64 157 158 237 238
-65 177 178 150 141
-66 167 168 150 141
-67 167 168 160 151
-68 177 178 160 151
-69 198 170 161 197
-70 187 188 170 161
-71 187 188 180 171
-72 198 180 171 197
-73 190 181 217 218
-74 190 181 207 208
-75 200 191 207 208
-76 200 191 217 218
-77 210 201 235 236
-78 210 201 225 226
-79 220 211 225 226
-80 220 211 235 236
-81 188 189 233 234
-82 188 189 223 224
-83 198 199 223 224
-84 198 199 233 234
-85 144 145 218 219
-86 209 144 145 208
-87 154 209 155 208
-88 154 155 218 219
-89 165 234 235 164
-90 165 224 225 164
-91 224 225 174 175
-92 234 235 174 175
-93 143 144 194 195
-94 143 144 184 185
-95 154 184 185 153
-96 154 194 195 153
-97 214 215 163 164
-98 204 205 163 164
-99 204 205 173 174
-100 214 215 173 174
-101 183 238 184 239
-102 183 184 228 229
-103 193 194 228 229
-104 193 194 238 239
-105 213 214 149 150
-106 203 149 204 150
-107 159 203 160 204
-108 213 159 214 160
-109 169 170 239 240
-110 169 170 229 230
-111 179 180 229 230
-112 179 180 239 240
-113 199 200 148 149
-114 189 190 148 149
-115 189 190 158 159
-116 199 200 158 159
-117 220 168 169 219
-118 209 210 168 169
-119 209 210 178 179
-120 220 178 179 219
-121 1 2 37 38
-122 1 2 5 6
-123 5 6 9 10
-124 13 14 9 10
-125 13 14 17 18
-126 22 17 18 21
-127 22 25 26 21
-128 25 26 29 30
-129 33 34 29 30
-130 33 34 37 38
-131 3 4 39 40
-132 3 4 7 8
-133 11 12 7 8
-134 11 12 15 16
-135 15 16 19 20
-136 23 24 19 20
-137 23 24 27 28
-138 27 28 31 32
-139 35 36 31 32
-140 35 36 39 40
-141 66 2 3 65
-142 2 3 41 42
-143 93 94 41 42
-144 93 94 85 86
-145 45 46 85 86
-146 22 23 45 46
-147 22 23 61 62
-148 113 114 61 62
-149 113 114 105 106
-150 66 105 106 65
-151 1 67 68 4
-152 44 1 4 43
-153 44 95 96 43
-154 88 95 96 87
-155 88 47 48 87
-156 24 47 48 21
-157 24 63 64 21
-158 115 116 63 64
-159 115 116 107 108
-160 67 68 107 108
-161 69 70 6 7
-162 46 47 6 7
-163 46 47 97 98
-164 89 90 97 98
-165 89 90 49 50
-166 26 27 49 50
-167 66 67 26 27
-168 66 67 117 118
-169 110 117 118 109
-170 110 69 70 109
-171 5 71 72 8
-172 45 48 5 8
-173 99 45 100 48
-174 99 100 91 92
-175 91 92 51 52
-176 25 28 51 52
-177 68 25 28 65
-178 68 119 65 120
-179 111 112 119 120
-180 111 112 71 72
-181 11 73 74 10
-182 11 50 51 10
-183 101 102 50 51
-184 101 102 94 95
-185 94 95 53 54
-186 30 31 53 54
-187 70 71 30 31
-188 70 81 71 82
-189 81 114 82 115
-190 114 115 73 74
-191 12 9 75 76
-192 12 49 52 9
-193 103 49 104 52
-194 103 93 104 96
-195 55 56 93 96
-196 55 56 29 32
-197 69 72 29 32
-198 69 72 83 84
-199 113 83 116 84
-200 113 116 75 76
-201 77 78 14 15
-202 55 14 15 54
-203 55 106 107 54
-204 99 106 107 98
-205 99 57 58 98
-206 34 35 57 58
-207 34 35 74 75
-208 74 75 86 87
-209 118 86 119 87
-210 77 78 118 119
-211 13 79 80 16
-212 56 13 16 53
-213 56 105 53 108
-214 100 105 97 108
-215 100 59 60 97
-216 33 36 59 60
-217 33 36 73 76
-218 88 73 85 76
-219 88 117 85 120
-220 79 80 117 120
-221 58 59 18 19
-222 18 19 42 43
-223 82 83 42 43
-224 90 91 82 83
-225 78 79 90 91
-226 78 79 38 39
-227 38 39 62 63
-228 102 103 62 63
-229 110 111 102 103
-230 110 111 58 59
-231 57 60 17 20
-232 44 17 41 20
-233 44 81 84 41
-234 89 81 92 84
-235 77 89 80 92
-236 77 80 37 40
-237 37 61 40 64
-238 101 104 61 64
-239 101 112 104 109
-240 57 112 60 109
0