Graph forms
for C4 [ 240, 140 ] =
PL(CS(Pr_10(1,4,3,2)[5^12],1))
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On this page are computer-accessible forms for the graph C4[ 240, 140 ] =
PL(CS(Pr_10(1,4,3,2)[5^12],1)).
(I) Following is a form readable by MAGMA:
g:=Graph<240|{ {81, 125}, {81, 124}, {82, 124}, {82, 125}, {69, 124}, {70, 124},
{70, 123}, {69, 123}, {43, 121}, {41, 125}, {42, 126}, {44, 121}, {41, 126},
{42, 125}, {8, 127}, {1, 121}, {2, 122}, {7, 127}, {4, 126}, {1, 122}, {2, 121},
{4, 127}, {3, 127}, {6, 122}, {3, 126}, {6, 123}, {5, 123}, {5, 122}, {3, 131},
{67, 195}, {41, 169}, {46, 174}, {100, 228}, {112, 240}, {2, 131}, {72, 201},
{66, 195}, {63, 190}, {41, 168}, {47, 174}, {100, 229}, {47, 173}, {48, 178},
{98, 224}, {109, 239}, {46, 173}, {48, 179}, {99, 224}, {10, 142}, {62, 186},
{61, 185}, {44, 168}, {51, 183}, {90, 222}, {91, 223}, {97, 229}, {110, 234},
{111, 235}, {10, 143}, {117, 240}, {44, 169}, {50, 183}, {90, 223}, {91, 222},
{97, 228}, {110, 235}, {111, 234}, {2, 132}, {66, 196}, {9, 143}, {104, 238},
{3, 132}, {67, 196}, {62, 185}, {61, 186}, {7, 128}, {9, 142}, {104, 239}, {1,
137}, {120, 240}, {70, 206}, {60, 180}, {52, 188}, {6, 142}, {8, 128}, {43,
163}, {1, 136}, {71, 206}, {65, 200}, {57, 176}, {52, 189}, {7, 142}, {42, 163},
{108, 229}, {7, 141}, {71, 205}, {63, 181}, {58, 176}, {50, 184}, {101, 239},
{106, 224}, {107, 225}, {108, 230}, {6, 141}, {70, 205}, {51, 184}, {101, 238},
{106, 225}, {107, 224}, {4, 136}, {69, 201}, {68, 200}, {49, 189}, {82, 222},
{102, 234}, {105, 229}, {4, 137}, {16, 157}, {49, 188}, {83, 222}, {96, 237},
{103, 234}, {16, 158}, {42, 164}, {83, 221}, {96, 238}, {103, 233}, {43, 164},
{59, 180}, {82, 221}, {102, 233}, {105, 230}, {12, 156}, {114, 226}, {59, 171},
{54, 166}, {53, 165}, {76, 220}, {12, 157}, {115, 226}, {15, 158}, {10, 152},
{117, 231}, {116, 230}, {115, 225}, {74, 216}, {56, 170}, {15, 157}, {11, 152},
{114, 225}, {75, 216}, {54, 165}, {53, 166}, {51, 160}, {9, 157}, {13, 153},
{52, 160}, {9, 156}, {73, 220}, {58, 175}, {13, 152}, {5, 147}, {57, 175}, {55,
161}, {14, 152}, {5, 146}, {113, 230}, {69, 210}, {60, 171}, {14, 153}, {11,
147}, {12, 148}, {56, 161}, {8, 146}, {118, 236}, {73, 211}, {72, 210}, {64,
218}, {8, 147}, {119, 236}, {64, 219}, {11, 151}, {119, 235}, {75, 215}, {10,
151}, {118, 235}, {74, 215}, {55, 170}, {109, 240}, {45, 179}, {11, 148}, {120,
231}, {12, 147}, {45, 178}, {76, 211}, {112, 239}, {17, 177}, {22, 182}, {27,
187}, {28, 188}, {37, 133}, {109, 205}, {17, 176}, {23, 182}, {37, 132}, {40,
137}, {109, 204}, {112, 209}, {23, 181}, {24, 186}, {38, 132}, {40, 138}, {47,
141}, {110, 204}, {112, 210}, {22, 181}, {24, 187}, {38, 133}, {52, 151}, {107,
200}, {110, 205}, {20, 176}, {114, 214}, {27, 191}, {51, 151}, {108, 200}, {20,
177}, {114, 215}, {23, 178}, {26, 191}, {23, 177}, {48, 150}, {113, 215}, {27,
188}, {28, 187}, {113, 214}, {106, 194}, {116, 220}, {115, 219}, {24, 177},
{116, 221}, {43, 130}, {50, 155}, {106, 195}, {13, 167}, {24, 178}, {49, 155},
{105, 195}, {13, 166}, {105, 194}, {108, 199}, {14, 162}, {26, 182}, {107, 199},
{113, 221}, {15, 162}, {26, 183}, {39, 138}, {49, 156}, {15, 161}, {21, 187},
{25, 183}, {39, 137}, {44, 130}, {50, 156}, {14, 161}, {116, 219}, {115, 220},
{21, 186}, {25, 182}, {18, 162}, {87, 231}, {93, 237}, {18, 163}, {86, 231},
{17, 163}, {81, 227}, {17, 162}, {20, 167}, {81, 226}, {93, 238}, {19, 167},
{88, 236}, {88, 237}, {16, 166}, {84, 226}, {94, 232}, {95, 233}, {16, 167},
{84, 227}, {94, 233}, {95, 232}, {19, 171}, {21, 173}, {85, 237}, {92, 228},
{18, 171}, {21, 172}, {47, 150}, {85, 236}, {22, 172}, {89, 227}, {19, 168},
{22, 173}, {20, 168}, {45, 145}, {46, 146}, {99, 223}, {48, 141}, {89, 228},
{98, 223}, {111, 210}, {18, 172}, {86, 232}, {111, 209}, {19, 172}, {45, 146},
{46, 145}, {87, 232}, {92, 227}, {67, 131}, {90, 154}, {87, 150}, {90, 155},
{87, 149}, {89, 155}, {89, 154}, {92, 159}, {79, 139}, {85, 145}, {91, 159},
{66, 135}, {74, 143}, {79, 138}, {85, 144}, {65, 135}, {73, 143}, {71, 129},
{86, 144}, {68, 131}, {71, 128}, {86, 145}, {68, 140}, {72, 128}, {77, 133},
{78, 134}, {65, 136}, {72, 129}, {96, 169}, {66, 136}, {96, 170}, {77, 134},
{78, 133}, {98, 174}, {88, 149}, {98, 175}, {80, 158}, {88, 150}, {97, 175},
{67, 140}, {80, 159}, {97, 174}, {99, 179}, {100, 180}, {83, 130}, {29, 207},
{77, 159}, {83, 129}, {29, 206}, {77, 158}, {30, 202}, {78, 154}, {31, 202},
{79, 154}, {84, 129}, {104, 189}, {31, 201}, {79, 153}, {84, 130}, {104, 190},
{30, 201}, {78, 153}, {99, 180}, {100, 179}, {28, 196}, {76, 148}, {28, 197},
{73, 144}, {31, 198}, {76, 149}, {103, 190}, {26, 192}, {74, 144}, {31, 197},
{80, 138}, {103, 189}, {27, 192}, {80, 139}, {25, 197}, {29, 193}, {101, 185},
{25, 196}, {29, 192}, {101, 184}, {30, 192}, {75, 149}, {102, 184}, {30, 193},
{75, 148}, {102, 185}, {32, 197}, {32, 198}, {61, 219}, {61, 218}, {34, 202},
{62, 214}, {57, 209}, {34, 203}, {63, 214}, {57, 208}, {33, 203}, {63, 213},
{33, 202}, {62, 213}, {36, 207}, {35, 207}, {60, 208}, {60, 209}, {32, 206},
{32, 207}, {35, 211}, {118, 134}, {59, 203}, {34, 211}, {118, 135}, {58, 203},
{40, 217}, {38, 212}, {117, 135}, {53, 199}, {39, 213}, {40, 218}, {35, 208},
{120, 139}, {117, 134}, {53, 198}, {38, 213}, {39, 212}, {36, 208}, {120, 140},
{54, 194}, {55, 194}, {64, 181}, {95, 170}, {34, 212}, {58, 204}, {55, 193},
{95, 169}, {35, 212}, {59, 204}, {54, 193}, {33, 217}, {93, 165}, {33, 216},
{93, 164}, {94, 164}, {68, 191}, {119, 140}, {91, 160}, {94, 165}, {36, 216},
{119, 139}, {37, 217}, {92, 160}, {36, 217}, {56, 198}, {65, 191}, {64, 190},
{37, 218}, {56, 199} }>;
(II) A more general form is to represent the graph as the orbit of {81, 125}
under the group generated by the following permutations:
a: (33, 34)(35, 36)(37, 38)(39, 40)(61, 62)(63, 64)(73, 74)(75, 76)(113,
116)(114, 115)(211, 216)(212, 217)(213, 218)(214, 219)(215, 220) (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: (17, 18)(19, 20)(21, 24)(22, 23)(45, 46)(47, 48)(57, 60)(58, 59)(97, 100)(98,
99)(171, 176)(172, 177)(173, 178)(174, 179)(175, 180)
c: (13, 14)(15, 16)(17, 20)(18, 19)(25, 26)(27, 28)(29, 32)(30, 31)(41, 42)(43,
44)(53, 55)(54, 56)(65, 66)(67, 68)(93, 96)(94, 95)(105, 108)(106, 107)(161,
166)(162, 167)(163, 168)(164, 169)(165, 170)(191, 196)(192, 197)(193, 198)(194,
199)(195, 200)
d: (1, 5)(2, 6)(3, 7)(4, 8)(9, 38)(10, 37)(11, 40)(12, 39)(13, 36)(14, 33)(15,
34)(16, 35)(17, 30, 18, 31)(19, 32, 20, 29)(21, 25, 24, 26)(22, 28, 23, 27)(41,
71)(42, 72)(43, 69)(44, 70)(45, 65, 46, 66)(47, 67, 48, 68)(49, 63)(50, 62)(51,
61)(52, 64)(53, 57, 54, 60)(55, 59, 56, 58)(73, 77)(74, 78)(75, 79)(76, 80)(81,
83)(82, 84)(85, 117)(86, 118)(87, 119)(88, 120)(89, 113)(90, 114)(91, 115)(92,
116)(93, 112)(94, 111)(95, 110)(96, 109)(97, 105, 100, 108)(98, 106, 99,
107)(121, 123)(124, 130)(125, 129)(126, 128)(131, 141)(132, 142)(133, 143)(134,
144)(135, 145)(136, 146)(137, 147)(138, 148)(139, 149)(140, 150)(151, 218)(152,
217)(153, 216)(154, 215)(155, 214)(156, 213)(157, 212)(158, 211)(159, 220)(160,
219)(161, 203)(162, 202)(163, 201)(164, 210)(165, 209)(166, 208)(167, 207)(168,
206)(169, 205)(170, 204)(171, 198, 176, 193)(172, 197, 177, 192)(173, 196, 178,
191)(174, 195, 179, 200)(175, 194, 180, 199)(181, 188)(182, 187)(183, 186)(184,
185)(189, 190)(221, 227)(222, 226)(223, 225)(228, 230)(231, 236)(232, 235)(233,
234)(237, 240)(238, 239)
e: (2, 4)(5, 40)(6, 39)(7, 38)(8, 37)(9, 34, 10, 35)(11, 36, 12, 33)(13, 32, 16,
31)(14, 29, 15, 30)(17, 26)(18, 27)(19, 28)(20, 25)(22, 24)(41, 67)(42, 68)(43,
65)(44, 66)(45, 64)(46, 61)(47, 62)(48, 63)(49, 59, 52, 60)(50, 58, 51, 57)(54,
56)(69, 79, 70, 80)(71, 77, 72, 78)(74, 76)(81, 120)(82, 119)(83, 118)(84,
117)(85, 116)(86, 115)(87, 114)(88, 113)(89, 109, 92, 112)(90, 110, 91, 111)(93,
108)(94, 107)(95, 106)(96, 105)(97, 101)(98, 102)(99, 103)(100, 104)(121,
136)(122, 137)(123, 138)(124, 139)(125, 140)(126, 131)(127, 132)(128, 133)(129,
134)(130, 135)(141, 213)(142, 212)(143, 211)(144, 220)(145, 219)(146, 218)(147,
217)(148, 216)(149, 215)(150, 214)(151, 208, 156, 203)(152, 207, 157, 202)(153,
206, 158, 201)(154, 205, 159, 210)(155, 204, 160, 209)(161, 193)(162, 192)(163,
191)(164, 200)(165, 199)(166, 198)(167, 197)(168, 196)(169, 195)(170, 194)(171,
188)(172, 187)(173, 186)(174, 185)(175, 184)(176, 183)(177, 182)(178, 181)(179,
190)(180, 189)(221, 236)(222, 235)(223, 234)(224, 233)(225, 232)(226, 231)(227,
240)(228, 239)(229, 238)(230, 237)
f: (1, 2)(3, 4)(37, 40)(38, 39)(65, 68)(66, 67)(77, 80)(78, 79)(117, 120)(118,
119)(131, 136)(132, 137)(133, 138)(134, 139)(135, 140)
g: (81, 82)(83, 84)(89, 90)(91, 92)(97, 98)(99, 100)(105, 106)(107, 108)(113,
114)(115, 116)(221, 226)(222, 227)(223, 228)(224, 229)(225, 230)
h: (85, 86)(87, 88)(93, 94)(95, 96)(101, 102)(103, 104)(109, 110)(111, 112)(117,
118)(119, 120)(231, 236)(232, 237)(233, 238)(234, 239)(235, 240)
m: (25, 26)(27, 28)(29, 32)(30, 31)(53, 54)(55, 56)(65, 66)(67, 68)(105,
108)(106, 107)(191, 196)(192, 197)(193, 198)(194, 199)(195, 200)
n1: (5, 44)(6, 43)(7, 42)(8, 41)(9, 93, 10, 94)(11, 95, 12, 96)(13, 86, 16,
85)(14, 87, 15, 88)(17, 47)(18, 48)(19, 45)(20, 46)(21, 23)(22, 24)(25, 61)(26,
62)(27, 63)(28, 64)(29, 114)(30, 113)(31, 116)(32, 115)(33, 105)(34, 108)(35,
107)(36, 106)(37, 67)(38, 68)(39, 65)(40, 66)(49, 104, 52, 103)(50, 101, 51,
102)(53, 73)(54, 74)(55, 75)(56, 76)(57, 98)(58, 97)(59, 100)(60, 99)(69,
83)(70, 84)(71, 81)(72, 82)(77, 119, 78, 120)(79, 117, 80, 118)(89, 109, 92,
110)(90, 112, 91, 111)(121, 122)(123, 130)(124, 129)(125, 128)(126, 127)(131,
132)(133, 140)(134, 139)(135, 138)(136, 137)(141, 163)(142, 164)(143, 165)(144,
166)(145, 167)(146, 168)(147, 169)(148, 170)(149, 161)(150, 162)(151, 233, 156,
238)(152, 232, 157, 237)(153, 231, 158, 236)(154, 240, 159, 235)(155, 239, 160,
234)(171, 179)(172, 178)(173, 177)(174, 176)(181, 187)(182, 186)(183, 185)(188,
190)(191, 213)(192, 214)(193, 215)(194, 216)(195, 217)(196, 218)(197, 219)(198,
220)(199, 211)(200, 212)(201, 221)(202, 230)(203, 229)(204, 228)(205, 227)(206,
226)(207, 225)(208, 224)(209, 223)(210, 222)
a1: (21, 22)(23, 24)(25, 28)(26, 27)(49, 50)(51, 52)(61, 64)(62, 63)(101,
104)(102, 103)(181, 186)(182, 187)(183, 188)(184, 189)(185, 190)
b1: (5, 6)(7, 8)(9, 12)(10, 11)(33, 34)(35, 36)(37, 38)(39, 40)(45, 48)(46,
47)(61, 62)(63, 64)(73, 75)(74, 76)(85, 88)(86, 87)(113, 116)(114, 115)(141,
146)(142, 147)(143, 148)(144, 149)(145, 150)(211, 216)(212, 217)(213, 218)(214,
219)(215, 220)
c1: (29, 30)(31, 32)(33, 36)(34, 35)(57, 58)(59, 60)(69, 70)(71, 72)(109,
112)(110, 111)(201, 206)(202, 207)(203, 208)(204, 209)(205, 210)
d1: (9, 10)(11, 12)(13, 16)(14, 15)(49, 52)(50, 51)(77, 78)(79, 80)(81, 82)(83,
84)(89, 91)(90, 92)(97, 98)(99, 100)(105, 106)(107, 108)(113, 114)(115,
116)(151, 156)(152, 157)(153, 158)(154, 159)(155, 160)(221, 226)(222, 227)(223,
228)(224, 229)(225, 230)
C4[ 240, 140 ]
240
-1 121 122 136 137
-2 121 132 122 131
-3 132 126 127 131
-4 136 126 137 127
-5 122 123 146 147
-6 122 123 141 142
-7 127 128 141 142
-8 146 147 127 128
-9 143 156 157 142
-10 143 151 152 142
-11 147 148 151 152
-12 156 157 147 148
-13 166 167 152 153
-14 161 162 152 153
-15 157 158 161 162
-16 166 167 157 158
-17 176 177 162 163
-18 171 172 162 163
-19 167 168 171 172
-20 176 177 167 168
-21 187 172 173 186
-22 181 182 172 173
-23 177 178 181 182
-24 187 177 178 186
-25 182 183 196 197
-26 191 192 182 183
-27 187 188 191 192
-28 187 188 196 197
-29 192 193 206 207
-30 201 202 192 193
-31 198 201 202 197
-32 198 206 207 197
-33 202 203 216 217
-34 211 212 202 203
-35 211 212 207 208
-36 216 217 207 208
-37 132 133 217 218
-38 132 133 212 213
-39 212 213 137 138
-40 137 138 217 218
-41 168 125 169 126
-42 125 126 163 164
-43 121 130 163 164
-44 121 168 169 130
-45 145 178 146 179
-46 145 146 173 174
-47 150 173 141 174
-48 178 179 150 141
-49 155 188 156 189
-50 155 156 183 184
-51 160 183 151 184
-52 188 189 160 151
-53 165 198 166 199
-54 165 166 193 194
-55 170 193 161 194
-56 198 199 170 161
-57 176 209 175 208
-58 176 203 204 175
-59 180 203 171 204
-60 209 180 171 208
-61 185 218 186 219
-62 213 214 185 186
-63 190 213 181 214
-64 190 181 218 219
-65 200 135 136 191
-66 135 136 195 196
-67 140 195 196 131
-68 200 191 140 131
-69 210 123 124 201
-70 123 124 205 206
-71 128 205 129 206
-72 210 201 128 129
-73 143 220 144 211
-74 143 144 215 216
-75 148 149 215 216
-76 220 211 148 149
-77 133 134 158 159
-78 154 133 134 153
-79 154 138 139 153
-80 158 159 138 139
-81 124 125 226 227
-82 221 222 124 125
-83 221 222 129 130
-84 226 227 129 130
-85 144 145 236 237
-86 231 144 232 145
-87 231 232 149 150
-88 236 149 237 150
-89 154 155 227 228
-90 154 155 222 223
-91 222 223 159 160
-92 159 160 227 228
-93 165 237 238 164
-94 165 232 233 164
-95 232 233 169 170
-96 169 170 237 238
-97 228 174 229 175
-98 223 224 174 175
-99 179 223 180 224
-100 179 180 228 229
-101 238 184 239 185
-102 233 234 184 185
-103 189 233 190 234
-104 189 190 238 239
-105 194 195 229 230
-106 224 225 194 195
-107 199 200 224 225
-108 199 200 229 230
-109 204 205 239 240
-110 234 235 204 205
-111 209 210 234 235
-112 209 210 239 240
-113 221 214 215 230
-114 214 225 215 226
-115 220 225 226 219
-116 220 221 219 230
-117 231 134 135 240
-118 134 135 235 236
-119 235 236 139 140
-120 231 139 140 240
-121 44 1 2 43
-122 1 2 5 6
-123 69 70 5 6
-124 69 70 81 82
-125 81 82 41 42
-126 3 4 41 42
-127 3 4 7 8
-128 71 72 7 8
-129 71 72 83 84
-130 44 83 84 43
-131 67 2 68 3
-132 2 3 37 38
-133 77 78 37 38
-134 77 78 117 118
-135 66 117 118 65
-136 66 1 4 65
-137 1 4 39 40
-138 79 80 39 40
-139 79 80 119 120
-140 67 68 119 120
-141 47 48 6 7
-142 6 7 9 10
-143 73 74 9 10
-144 73 74 85 86
-145 45 46 85 86
-146 45 46 5 8
-147 11 12 5 8
-148 11 12 75 76
-149 88 75 76 87
-150 88 47 48 87
-151 11 51 52 10
-152 11 13 14 10
-153 78 13 79 14
-154 78 89 79 90
-155 89 90 49 50
-156 12 49 50 9
-157 12 15 16 9
-158 77 80 15 16
-159 77 80 91 92
-160 91 92 51 52
-161 55 56 14 15
-162 14 15 17 18
-163 17 18 42 43
-164 93 94 42 43
-165 93 94 53 54
-166 13 16 53 54
-167 13 16 19 20
-168 44 19 41 20
-169 44 95 41 96
-170 55 56 95 96
-171 59 60 18 19
-172 22 18 19 21
-173 22 46 47 21
-174 46 47 97 98
-175 57 58 97 98
-176 57 58 17 20
-177 23 24 17 20
-178 23 45 24 48
-179 99 45 100 48
-180 99 100 59 60
-181 22 23 63 64
-182 22 23 25 26
-183 25 26 50 51
-184 101 102 50 51
-185 101 102 61 62
-186 24 61 62 21
-187 24 27 28 21
-188 27 49 28 52
-189 103 49 104 52
-190 103 104 63 64
-191 68 26 27 65
-192 26 27 29 30
-193 55 29 30 54
-194 55 105 106 54
-195 66 67 105 106
-196 66 67 25 28
-197 25 28 31 32
-198 56 31 53 32
-199 56 107 53 108
-200 68 107 108 65
-201 69 72 30 31
-202 33 34 30 31
-203 33 34 58 59
-204 110 58 59 109
-205 110 70 71 109
-206 70 71 29 32
-207 35 36 29 32
-208 35 57 36 60
-209 111 57 112 60
-210 111 112 69 72
-211 34 35 73 76
-212 34 35 38 39
-213 38 39 62 63
-214 113 114 62 63
-215 113 114 74 75
-216 33 36 74 75
-217 33 36 37 40
-218 37 61 40 64
-219 115 61 116 64
-220 115 116 73 76
-221 113 82 83 116
-222 90 91 82 83
-223 99 90 91 98
-224 99 106 107 98
-225 114 115 106 107
-226 81 114 115 84
-227 89 81 92 84
-228 89 100 92 97
-229 100 105 97 108
-230 113 105 116 108
-231 117 86 87 120
-232 94 95 86 87
-233 102 103 94 95
-234 110 111 102 103
-235 110 111 118 119
-236 88 85 118 119
-237 88 93 85 96
-238 101 93 104 96
-239 101 112 104 109
-240 112 117 109 120
0