Graph forms
for C4 [ 240, 145 ] =
PL(CS(Pr_10(1,1,3,3)[3^20],1))
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On this page are computer-accessible forms for the graph C4[ 240, 145 ] =
PL(CS(Pr_10(1,1,3,3)[3^20],1)).
(I) Following is a form readable by MAGMA:
g:=Graph<240|{ {80, 127}, {79, 127}, {42, 123}, {41, 123}, {44, 126}, {43, 121},
{41, 124}, {44, 121}, {43, 126}, {42, 124}, {8, 125}, {8, 126}, {1, 121}, {2,
122}, {4, 124}, {4, 125}, {7, 126}, {7, 125}, {1, 122}, {2, 121}, {3, 127}, {6,
122}, {2, 127}, {6, 123}, {3, 125}, {5, 123}, {3, 124}, {5, 122}, {6, 134}, {8,
136}, {11, 139}, {13, 141}, {15, 143}, {16, 144}, {18, 146}, {7, 134}, {8, 137},
{10, 139}, {11, 138}, {13, 140}, {18, 147}, {20, 149}, {1, 131}, {2, 128}, {7,
133}, {11, 137}, {12, 142}, {14, 140}, {17, 147}, {20, 150}, {1, 130}, {3, 128},
{6, 133}, {12, 143}, {14, 141}, {17, 146}, {24, 155}, {16, 148}, {19, 151}, {24,
156}, {26, 158}, {12, 137}, {117, 240}, {16, 149}, {18, 151}, {19, 150}, {26,
159}, {4, 130}, {9, 143}, {10, 140}, {12, 138}, {19, 149}, {25, 159}, {4, 131},
{9, 142}, {11, 140}, {25, 158}, {32, 167}, {22, 158}, {120, 240}, {32, 168},
{34, 170}, {23, 158}, {109, 228}, {34, 171}, {36, 173}, {17, 155}, {18, 152},
{23, 157}, {33, 171}, {36, 174}, {17, 154}, {19, 152}, {22, 157}, {23, 156},
{33, 170}, {5, 137}, {110, 226}, {10, 134}, {21, 153}, {23, 155}, {32, 172},
{35, 175}, {5, 136}, {111, 226}, {10, 135}, {21, 152}, {32, 173}, {34, 175},
{35, 174}, {9, 135}, {111, 225}, {48, 190}, {20, 154}, {22, 152}, {35, 173}, {9,
134}, {110, 225}, {48, 191}, {20, 155}, {22, 153}, {41, 185}, {37, 180}, {116,
229}, {41, 184}, {93, 204}, {33, 179}, {46, 188}, {45, 191}, {34, 176}, {33,
178}, {120, 235}, {47, 188}, {45, 190}, {35, 176}, {44, 184}, {115, 231}, {113,
229}, {112, 228}, {47, 187}, {44, 185}, {114, 231}, {46, 187}, {36, 178}, {64,
214}, {39, 177}, {37, 179}, {38, 176}, {93, 203}, {94, 200}, {95, 201}, {36,
179}, {64, 215}, {39, 176}, {38, 177}, {87, 192}, {94, 201}, {95, 200}, {13,
149}, {118, 238}, {66, 218}, {68, 220}, {71, 223}, {88, 192}, {90, 194}, {13,
148}, {119, 238}, {67, 218}, {68, 221}, {70, 223}, {90, 195}, {92, 197}, {67,
217}, {119, 237}, {114, 232}, {89, 195}, {92, 198}, {40, 179}, {118, 237}, {115,
232}, {113, 234}, {66, 217}, {89, 194}, {14, 146}, {65, 221}, {42, 182}, {40,
180}, {15, 146}, {65, 220}, {63, 162}, {61, 160}, {43, 182}, {91, 198}, {15,
145}, {117, 235}, {116, 234}, {62, 160}, {43, 181}, {91, 197}, {14, 145}, {42,
181}, {15, 144}, {16, 143}, {57, 153}, {115, 211}, {108, 204}, {60, 156}, {58,
154}, {73, 233}, {105, 201}, {106, 202}, {53, 148}, {120, 217}, {110, 207}, {62,
159}, {55, 150}, {73, 232}, {101, 196}, {103, 198}, {54, 148}, {112, 210}, {111,
205}, {109, 207}, {63, 157}, {61, 159}, {77, 239}, {78, 236}, {102, 196}, {39,
132}, {58, 153}, {57, 154}, {51, 144}, {77, 238}, {79, 236}, {99, 192}, {105,
202}, {106, 201}, {37, 129}, {114, 214}, {113, 213}, {52, 144}, {39, 131}, {76,
232}, {79, 235}, {100, 192}, {37, 128}, {54, 147}, {47, 138}, {45, 136}, {76,
233}, {78, 235}, {102, 195}, {38, 128}, {120, 222}, {55, 145}, {53, 147}, {46,
136}, {69, 227}, {70, 224}, {101, 195}, {103, 193}, {38, 129}, {116, 211}, {114,
213}, {113, 214}, {107, 204}, {59, 156}, {69, 226}, {71, 224}, {46, 135}, {119,
222}, {117, 220}, {56, 145}, {89, 240}, {104, 193}, {45, 135}, {118, 220}, {47,
133}, {72, 226}, {40, 131}, {115, 216}, {108, 199}, {60, 151}, {72, 227}, {96,
203}, {40, 132}, {116, 216}, {107, 199}, {59, 151}, {74, 230}, {92, 240}, {96,
204}, {98, 206}, {99, 207}, {75, 230}, {118, 219}, {98, 207}, {99, 206}, {56,
150}, {119, 217}, {117, 219}, {75, 229}, {104, 198}, {74, 229}, {112, 223}, {29,
173}, {107, 219}, {84, 228}, {86, 230}, {87, 231}, {97, 209}, {104, 216}, {106,
218}, {29, 172}, {108, 221}, {107, 218}, {86, 231}, {87, 230}, {88, 233}, {106,
219}, {81, 227}, {109, 223}, {108, 222}, {82, 224}, {83, 225}, {88, 234}, {101,
215}, {102, 212}, {103, 213}, {82, 225}, {83, 224}, {92, 239}, {97, 210}, {102,
213}, {103, 212}, {21, 161}, {30, 170}, {105, 221}, {21, 160}, {48, 133}, {31,
170}, {81, 228}, {100, 209}, {31, 169}, {89, 239}, {90, 236}, {91, 237}, {100,
210}, {30, 169}, {31, 168}, {84, 227}, {90, 237}, {91, 236}, {105, 222}, {24,
160}, {51, 139}, {27, 163}, {29, 165}, {31, 167}, {24, 161}, {26, 163}, {27,
162}, {29, 164}, {27, 161}, {48, 138}, {28, 166}, {30, 164}, {28, 167}, {30,
165}, {49, 141}, {50, 142}, {85, 233}, {28, 161}, {112, 205}, {111, 210}, {109,
208}, {101, 216}, {25, 167}, {110, 208}, {26, 164}, {28, 162}, {80, 238}, {25,
166}, {52, 139}, {50, 141}, {49, 142}, {27, 164}, {80, 239}, {85, 234}, {104,
215}, {79, 132}, {77, 129}, {78, 130}, {77, 130}, {78, 129}, {80, 132}, {96,
181}, {99, 187}, {96, 186}, {97, 189}, {98, 190}, {64, 157}, {97, 190}, {98,
189}, {100, 187}, {67, 163}, {72, 169}, {64, 162}, {76, 175}, {65, 165}, {66,
166}, {75, 175}, {82, 182}, {82, 183}, {93, 184}, {95, 186}, {72, 174}, {81,
183}, {94, 184}, {65, 166}, {68, 163}, {66, 165}, {81, 182}, {88, 191}, {57,
209}, {85, 189}, {87, 191}, {57, 208}, {69, 172}, {71, 174}, {83, 186}, {85,
188}, {94, 183}, {61, 215}, {62, 212}, {70, 172}, {83, 185}, {86, 188}, {93,
183}, {95, 181}, {61, 214}, {67, 168}, {63, 212}, {86, 189}, {60, 208}, {63,
211}, {68, 168}, {60, 209}, {62, 211}, {70, 171}, {84, 185}, {69, 171}, {71,
169}, {84, 186}, {50, 194}, {55, 199}, {52, 196}, {51, 194}, {54, 199}, {52,
197}, {51, 193}, {56, 202}, {50, 193}, {56, 203}, {49, 197}, {58, 206}, {49,
196}, {59, 206}, {59, 205}, {58, 205}, {73, 177}, {74, 178}, {76, 180}, {73,
178}, {74, 177}, {53, 203}, {54, 200}, {53, 202}, {55, 200}, {75, 180} }>;
(II) A more general form is to represent the graph as the orbit of {80, 127}
under the group generated by the following permutations:
a: (33, 34)(35, 36)(37, 38)(39, 40)(73, 76)(74, 75)(175, 178)(176, 179)(177,
180) (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: (61, 62)(63, 64)(73, 74)(75, 76)(85, 86)(87, 88)(101, 102)(103, 104)(113,
115)(114, 116)(211, 214)(212, 215)(213, 216)(229, 232)(230, 233)(231, 234)
c: (2, 4)(5, 40)(6, 39)(7, 38)(8, 37)(9, 34, 10, 35)(11, 36, 12, 33)(13, 29, 16,
30)(14, 32, 15, 31)(17, 25)(18, 28)(19, 27)(20, 26)(22, 24)(41, 80)(42, 79)(43,
78)(44, 77)(45, 76, 46, 75)(47, 74, 48, 73)(49, 69, 51, 71)(50, 70, 52, 72)(53,
65)(54, 66)(55, 67)(56, 68)(57, 61)(58, 62)(59, 63)(60, 64)(81, 90, 82, 91)(83,
92, 84, 89)(85, 86, 87, 88)(93, 118)(94, 119)(95, 120)(96, 117)(97, 114, 100,
113)(98, 115, 99, 116)(101, 110, 104, 109)(102, 111, 103, 112)(106, 108)(121,
130)(122, 131)(123, 132)(124, 127)(125, 128)(126, 129)(133, 177)(134, 176)(135,
175)(136, 180)(137, 179)(138, 178)(139, 174, 142, 171)(140, 173, 143, 170)(141,
172, 144, 169)(145, 168)(146, 167)(147, 166)(148, 165)(149, 164)(150, 163)(151,
162)(152, 161)(153, 160)(154, 159)(155, 158)(156, 157)(181, 235)(182, 236)(183,
237)(184, 238)(185, 239)(186, 240)(187, 229, 190, 232)(188, 230, 191, 233)(189,
231, 192, 234)(193, 223, 196, 226)(194, 224, 197, 227)(195, 225, 198, 228)(199,
218)(200, 217)(201, 222)(202, 221)(203, 220)(204, 219)(205, 212)(206, 211)(207,
216)(208, 215)(209, 214)(210, 213)
d: (1, 5, 12, 16, 20, 24, 28, 32, 36, 40)(2, 8, 9, 13, 17, 21, 25, 29, 33,
39)(3, 7, 10, 14, 18, 22, 26, 30, 34, 38)(4, 6, 11, 15, 19, 23, 27, 31, 35,
37)(41, 48, 52, 56, 60, 64, 68, 72, 76, 77, 42, 47, 51, 55, 59, 63, 67, 71, 75,
78)(43, 46, 50, 54, 58, 62, 66, 70, 74, 79, 44, 45, 49, 53, 57, 61, 65, 69, 73,
80)(81, 85, 89, 95, 99, 103, 107, 112, 116, 120, 83, 87, 91, 93, 97, 101, 105,
110, 114, 118)(82, 86, 90, 94, 98, 102, 106, 109, 113, 117, 84, 88, 92, 96, 100,
104, 108, 111, 115, 119)(121, 136, 142, 148, 154, 160, 166, 172, 178, 132)(122,
137, 143, 149, 155, 161, 167, 173, 179, 131)(123, 138, 144, 150, 156, 162, 168,
174, 180, 130)(124, 133, 139, 145, 151, 157, 163, 169, 175, 129)(125, 134, 140,
146, 152, 158, 164, 170, 176, 128)(126, 135, 141, 147, 153, 159, 165, 171, 177,
127)(181, 187, 193, 199, 205, 211, 217, 224, 230, 236, 184, 190, 196, 202, 208,
214, 220, 227, 233, 239)(182, 188, 194, 200, 206, 212, 218, 223, 229, 235, 185,
191, 197, 203, 209, 215, 221, 226, 232, 238)(183, 189, 195, 201, 207, 213, 219,
228, 234, 240, 186, 192, 198, 204, 210, 216, 222, 225, 231, 237)
e: (25, 26)(27, 28)(29, 32)(30, 31)(65, 67)(66, 68)(105, 106)(107, 108)(117,
120)(118, 119)(163, 166)(164, 167)(165, 168)(217, 220)(218, 221)(219, 222)
f: (49, 50)(51, 52)(89, 92)(90, 91)(101, 104)(102, 103)(193, 196)(194, 197)(195,
198)
g: (1, 2)(3, 4)(37, 40)(38, 39)(77, 80)(78, 79)(127, 130)(128, 131)(129,
132)
h: (17, 18)(19, 20)(21, 23)(22, 24)(25, 28)(26, 27)(57, 60)(58, 59)(61, 64)(62,
63)(151, 154)(152, 155)(153, 156)(157, 160)(158, 161)(159, 162)
m: (73, 74)(75, 76)(85, 86)(87, 88)(113, 114)(115, 116)(229, 232)(230, 233)(231,
234)
n1: (5, 6)(7, 8)(9, 12)(10, 11)(45, 48)(46, 47)(133, 136)(134, 137)(135,
138)
a1: (69, 70)(71, 72)(81, 82)(83, 84)(109, 110)(111, 112)(223, 226)(224,
227)(225, 228)
b1: (45, 46)(47, 48)(85, 88)(86, 87)(97, 100)(98, 99)(187, 190)(188, 191)(189,
192)
c1: (41, 42)(43, 44)(81, 84)(82, 83)(93, 96)(94, 95)(181, 184)(182, 185)(183,
186)
d1: (77, 78)(79, 80)(89, 90)(91, 92)(117, 118)(119, 120)(235, 238)(236,
239)(237, 240)
e1: (65, 66)(67, 68)(105, 106)(107, 108)(117, 120)(118, 119)(217, 220)(218,
221)(219, 222)
f1: (53, 54)(55, 56)(93, 94)(95, 96)(105, 108)(106, 107)(199, 202)(200,
203)(201, 204)
g1: (57, 58)(59, 60)(69, 70)(71, 72)(81, 82)(83, 84)(97, 98)(99, 100)(109,
111)(110, 112)(205, 208)(206, 209)(207, 210)(223, 226)(224, 227)(225, 228)
h1: (13, 14)(15, 16)(17, 20)(18, 19)(53, 56)(54, 55)(145, 148)(146, 149)(147,
150)
m1: (9, 10)(11, 12)(13, 15)(14, 16)(17, 20)(18, 19)(49, 52)(50, 51)(53, 56)(54,
55)(139, 142)(140, 143)(141, 144)(145, 148)(146, 149)(147, 150)
n2: (29, 30)(31, 32)(33, 36)(34, 35)(69, 72)(70, 71)(169, 172)(170, 173)(171,
174)
a2: (5, 43)(6, 44)(7, 41)(8, 42)(9, 94, 10, 93)(11, 96, 12, 95)(13, 53, 16,
54)(14, 56, 15, 55)(17, 20)(18, 19)(25, 64, 26, 63)(27, 62, 28, 61)(29, 116, 32,
113)(30, 115, 31, 114)(33, 73)(34, 76)(35, 75)(36, 74)(37, 38)(39, 40)(45,
81)(46, 82)(47, 83)(48, 84)(49, 105, 52, 108)(50, 106, 51, 107)(65, 101, 68,
102)(66, 104, 67, 103)(69, 88)(70, 85)(71, 86)(72, 87)(77, 78)(79, 80)(89,
117)(90, 118)(91, 119)(92, 120)(97, 109)(98, 112)(99, 111)(100, 110)(121,
122)(123, 126)(124, 125)(133, 185)(134, 184)(135, 183)(136, 182)(137, 181)(138,
186)(139, 204, 142, 201)(140, 203, 143, 200)(141, 202, 144, 199)(146, 150)(147,
149)(157, 158)(159, 162)(160, 161)(163, 212, 166, 215)(164, 211, 167, 214)(165,
216, 168, 213)(169, 231)(170, 232)(171, 233)(172, 234)(173, 229)(174, 230)(176,
180)(177, 179)(187, 225)(188, 224)(189, 223)(190, 228)(191, 227)(192, 226)(193,
218)(194, 219)(195, 220)(196, 221)(197, 222)(198, 217)(205, 206)(207, 210)(208,
209)(235, 239)(236, 238)
b2: (21, 22)(23, 24)(25, 28)(26, 27)(61, 64)(62, 63)(157, 160)(158, 161)(159,
162)
C4[ 240, 145 ]
240
-1 121 122 130 131
-2 121 122 127 128
-3 124 125 127 128
-4 124 125 130 131
-5 122 123 136 137
-6 122 133 123 134
-7 133 134 125 126
-8 125 136 126 137
-9 143 134 135 142
-10 134 135 139 140
-11 137 138 139 140
-12 143 137 138 142
-13 148 149 140 141
-14 145 146 140 141
-15 143 144 145 146
-16 143 144 148 149
-17 154 155 146 147
-18 146 147 151 152
-19 149 150 151 152
-20 154 155 149 150
-21 160 161 152 153
-22 157 158 152 153
-23 155 156 157 158
-24 155 156 160 161
-25 166 167 158 159
-26 158 159 163 164
-27 161 162 163 164
-28 166 167 161 162
-29 165 172 173 164
-30 165 169 170 164
-31 167 168 169 170
-32 167 168 172 173
-33 178 179 170 171
-34 176 170 171 175
-35 176 173 174 175
-36 178 179 173 174
-37 179 180 128 129
-38 176 177 128 129
-39 132 176 177 131
-40 132 179 180 131
-41 123 124 184 185
-42 123 124 181 182
-43 121 126 181 182
-44 121 126 184 185
-45 135 190 136 191
-46 187 188 135 136
-47 187 133 188 138
-48 133 190 191 138
-49 141 196 142 197
-50 193 194 141 142
-51 144 193 139 194
-52 144 139 196 197
-53 147 202 148 203
-54 199 200 147 148
-55 199 145 200 150
-56 145 202 203 150
-57 154 209 153 208
-58 154 205 206 153
-59 156 205 151 206
-60 209 156 151 208
-61 159 214 160 215
-62 211 212 159 160
-63 211 157 212 162
-64 157 214 215 162
-65 165 220 166 221
-66 165 166 217 218
-67 168 217 163 218
-68 220 221 168 163
-69 171 226 172 227
-70 223 224 171 172
-71 223 169 224 174
-72 169 226 227 174
-73 177 232 178 233
-74 177 178 229 230
-75 180 229 175 230
-76 232 233 180 175
-77 238 129 239 130
-78 235 236 129 130
-79 132 235 236 127
-80 132 127 238 239
-81 182 183 227 228
-82 224 225 182 183
-83 224 225 185 186
-84 227 228 185 186
-85 188 189 233 234
-86 231 188 189 230
-87 231 191 192 230
-88 233 234 191 192
-89 194 195 239 240
-90 236 237 194 195
-91 198 236 237 197
-92 198 239 240 197
-93 203 204 183 184
-94 200 201 183 184
-95 200 201 181 186
-96 181 203 204 186
-97 209 210 189 190
-98 189 190 206 207
-99 187 192 206 207
-100 187 209 210 192
-101 215 216 195 196
-102 212 213 195 196
-103 198 212 213 193
-104 198 193 215 216
-105 221 222 201 202
-106 201 202 218 219
-107 199 204 218 219
-108 199 221 222 204
-109 223 228 207 208
-110 225 226 207 208
-111 210 225 226 205
-112 210 223 205 228
-113 234 213 214 229
-114 231 232 213 214
-115 231 232 211 216
-116 211 234 216 229
-117 220 235 240 219
-118 220 237 238 219
-119 222 237 238 217
-120 222 235 217 240
-121 44 1 2 43
-122 1 2 5 6
-123 5 6 41 42
-124 3 4 41 42
-125 3 4 7 8
-126 44 7 8 43
-127 2 79 3 80
-128 2 3 37 38
-129 77 78 37 38
-130 77 1 78 4
-131 1 4 39 40
-132 79 80 39 40
-133 47 48 6 7
-134 6 7 9 10
-135 45 46 9 10
-136 45 46 5 8
-137 11 12 5 8
-138 11 12 47 48
-139 11 51 52 10
-140 11 13 14 10
-141 13 14 49 50
-142 12 49 50 9
-143 12 15 16 9
-144 15 16 51 52
-145 55 56 14 15
-146 14 15 17 18
-147 17 18 53 54
-148 13 16 53 54
-149 13 16 19 20
-150 55 56 19 20
-151 59 60 18 19
-152 22 18 19 21
-153 22 57 58 21
-154 57 58 17 20
-155 23 24 17 20
-156 23 24 59 60
-157 22 23 63 64
-158 22 23 25 26
-159 25 26 61 62
-160 24 61 62 21
-161 24 27 28 21
-162 27 28 63 64
-163 67 68 26 27
-164 26 27 29 30
-165 66 29 30 65
-166 66 25 28 65
-167 25 28 31 32
-168 67 68 31 32
-169 71 72 30 31
-170 33 34 30 31
-171 33 34 69 70
-172 69 70 29 32
-173 35 36 29 32
-174 35 36 71 72
-175 34 35 75 76
-176 34 35 38 39
-177 38 39 73 74
-178 33 36 73 74
-179 33 36 37 40
-180 37 40 75 76
-181 95 96 42 43
-182 81 82 42 43
-183 81 82 93 94
-184 44 93 94 41
-185 44 83 84 41
-186 83 84 95 96
-187 99 100 46 47
-188 46 47 85 86
-189 85 86 97 98
-190 45 48 97 98
-191 88 45 48 87
-192 88 99 100 87
-193 103 104 50 51
-194 89 90 50 51
-195 89 90 101 102
-196 101 102 49 52
-197 91 92 49 52
-198 91 92 103 104
-199 55 107 108 54
-200 55 94 95 54
-201 94 105 95 106
-202 56 105 106 53
-203 56 93 96 53
-204 93 96 107 108
-205 111 112 58 59
-206 99 58 59 98
-207 99 110 98 109
-208 110 57 60 109
-209 100 57 60 97
-210 100 111 112 97
-211 115 116 62 63
-212 102 103 62 63
-213 102 113 103 114
-214 113 114 61 64
-215 101 104 61 64
-216 101 104 115 116
-217 66 67 119 120
-218 66 67 106 107
-219 106 117 107 118
-220 68 117 118 65
-221 68 105 108 65
-222 105 108 119 120
-223 112 70 71 109
-224 70 71 82 83
-225 110 111 82 83
-226 110 111 69 72
-227 69 81 72 84
-228 112 81 84 109
-229 113 116 74 75
-230 74 75 86 87
-231 114 115 86 87
-232 114 115 73 76
-233 88 73 85 76
-234 88 113 116 85
-235 78 79 117 120
-236 78 79 90 91
-237 90 91 118 119
-238 77 80 118 119
-239 77 89 80 92
-240 89 92 117 120
0