Graph forms
for C4 [ 240, 43 ] =
PL(MC3(6,20,1,11,9,0,1),[4^30,6^20])
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On this page are computer-accessible forms for the graph C4[ 240, 43 ] =
PL(MC3(6,20,1,11,9,0,1),[4^30,6^20]).
(I) Following is a form readable by MAGMA:
g:=Graph<240|{ {102, 127}, {85, 127}, {86, 125}, {86, 122}, {64, 122}, {65,
123}, {64, 125}, {65, 126}, {52, 123}, {42, 123}, {46, 124}, {42, 126}, {46,
121}, {25, 121}, {31, 123}, {25, 124}, {30, 121}, {18, 124}, {9, 122}, {8, 124},
{10, 127}, {15, 121}, {7, 127}, {4, 125}, {2, 126}, {6, 122}, {3, 125}, {1,
126}, {22, 150}, {54, 182}, {100, 228}, {39, 166}, {67, 194}, {40, 169}, {83,
210}, {95, 222}, {19, 145}, {77, 207}, {70, 196}, {43, 168}, {75, 200}, {44,
175}, {49, 178}, {102, 229}, {110, 237}, {23, 147}, {89, 221}, {90, 222}, {42,
175}, {105, 236}, {32, 166}, {37, 163}, {90, 220}, {16, 151}, {72, 207}, {17,
150}, {44, 171}, {94, 217}, {19, 155}, {67, 203}, {62, 182}, {28, 148}, {33,
169}, {40, 160}, {78, 198}, {80, 216}, {74, 195}, {9, 131}, {56, 178}, {93,
215}, {96, 234}, {99, 233}, {108, 230}, {26, 145}, {84, 223}, {31, 147}, {33,
173}, {94, 210}, {24, 149}, {76, 193}, {69, 200}, {53, 184}, {88, 213}, {98,
239}, {27, 149}, {64, 206}, {59, 181}, {85, 219}, {46, 161}, {67, 204}, {91,
212}, {103, 232}, {32, 176}, {29, 140}, {7, 149}, {118, 228}, {89, 203}, {51,
160}, {74, 217}, {66, 209}, {54, 165}, {8, 156}, {58, 174}, {45, 185}, {81,
197}, {92, 200}, {14, 155}, {21, 128}, {84, 193}, {6, 144}, {58, 172}, {11,
156}, {73, 222}, {61, 170}, {57, 174}, {91, 195}, {9, 144}, {16, 137}, {87,
206}, {29, 135}, {73, 211}, {58, 160}, {55, 173}, {30, 132}, {27, 128}, {75,
208}, {71, 220}, {34, 185}, {48, 171}, {107, 240}, {21, 137}, {68, 216}, {114,
238}, {51, 174}, {119, 234}, {117, 232}, {94, 195}, {31, 129}, {120, 230}, {77,
211}, {75, 213}, {60, 162}, {35, 189}, {95, 193}, {53, 170}, {69, 218}, {79,
208}, {88, 199}, {2, 162}, {36, 132}, {28, 189}, {73, 232}, {68, 229}, {30,
191}, {37, 132}, {79, 238}, {3, 161}, {65, 227}, {61, 159}, {13, 175}, {19,
177}, {21, 183}, {104, 202}, {113, 211}, {1, 162}, {4, 167}, {7, 164}, {15,
172}, {108, 207}, {3, 167}, {119, 211}, {57, 157}, {24, 188}, {10, 175}, {25,
188}, {38, 131}, {18, 180}, {71, 225}, {16, 183}, {48, 151}, {17, 185}, {71,
239}, {36, 140}, {39, 143}, {43, 131}, {107, 195}, {55, 158}, {63, 150}, {56,
146}, {78, 228}, {101, 207}, {114, 217}, {13, 161}, {115, 223}, {12, 161}, {66,
239}, {60, 145}, {23, 186}, {10, 164}, {74, 228}, {112, 222}, {7, 168}, {50,
157}, {15, 191}, {54, 134}, {93, 237}, {104, 217}, {96, 210}, {27, 168}, {61,
142}, {49, 130}, {100, 215}, {51, 135}, {22, 163}, {116, 193}, {38, 147}, {41,
156}, {52, 129}, {3, 181}, {62, 136}, {47, 153}, {35, 148}, {63, 136}, {86,
225}, {95, 232}, {113, 198}, {4, 188}, {13, 181}, {20, 172}, {32, 152}, {93,
229}, {5, 188}, {82, 235}, {32, 154}, {56, 130}, {35, 153}, {87, 237}, {106,
208}, {109, 215}, {1, 186}, {16, 171}, {53, 142}, {8, 180}, {103, 219}, {105,
213}, {30, 163}, {60, 129}, {97, 220}, {111, 210}, {53, 139}, {89, 231}, {92,
226}, {5, 186}, {55, 136}, {14, 177}, {33, 158}, {39, 152}, {48, 143}, {12,
204}, {118, 182}, {74, 138}, {64, 128}, {43, 235}, {80, 144}, {92, 156}, {4,
197}, {76, 141}, {38, 231}, {11, 201}, {117, 183}, {19, 209}, {37, 231}, {40,
234}, {79, 140}, {9, 205}, {118, 178}, {68, 128}, {67, 135}, {47, 235}, {78,
138}, {12, 201}, {97, 164}, {98, 167}, {105, 172}, {88, 158}, {104, 174}, {116,
179}, {5, 205}, {77, 133}, {18, 218}, {112, 184}, {80, 153}, {10, 192}, {76,
134}, {110, 164}, {113, 187}, {2, 201}, {33, 234}, {41, 226}, {22, 218}, {47,
227}, {21, 216}, {115, 190}, {23, 218}, {44, 225}, {87, 154}, {104, 165}, {112,
189}, {2, 204}, {46, 224}, {87, 153}, {63, 240}, {23, 199}, {54, 230}, {59,
233}, {116, 166}, {72, 154}, {81, 131}, {100, 182}, {66, 145}, {82, 129}, {96,
179}, {25, 205}, {65, 149}, {36, 240}, {49, 229}, {106, 190}, {18, 199}, {71,
146}, {70, 147}, {66, 151}, {27, 206}, {90, 143}, {20, 194}, {58, 236}, {99,
181}, {102, 176}, {72, 159}, {99, 180}, {102, 177}, {114, 165}, {5, 221}, {62,
230}, {20, 204}, {83, 139}, {93, 133}, {101, 189}, {29, 196}, {84, 141}, {17,
203}, {115, 169}, {26, 192}, {85, 143}, {109, 183}, {113, 170}, {1, 221}, {13,
209}, {49, 237}, {88, 132}, {99, 191}, {11, 214}, {119, 170}, {24, 197}, {91,
134}, {111, 178}, {83, 141}, {120, 166}, {89, 135}, {117, 148}, {52, 214}, {90,
184}, {106, 136}, {111, 141}, {36, 199}, {56, 219}, {38, 197}, {41, 202}, {8,
236}, {45, 201}, {85, 177}, {106, 142}, {14, 235}, {81, 180}, {6, 224}, {69,
163}, {57, 223}, {43, 205}, {108, 138}, {11, 236}, {50, 213}, {34, 202}, {69,
173}, {109, 133}, {34, 203}, {76, 165}, {45, 196}, {108, 133}, {61, 215}, {119,
157}, {48, 219}, {83, 184}, {12, 224}, {44, 192}, {95, 179}, {101, 137}, {103,
139}, {14, 227}, {59, 214}, {15, 226}, {29, 240}, {35, 206}, {50, 223}, {94,
179}, {107, 134}, {62, 208}, {118, 152}, {81, 191}, {6, 233}, {75, 187}, {82,
162}, {55, 198}, {92, 173}, {98, 144}, {120, 138}, {26, 233}, {77, 190}, {57,
202}, {28, 239}, {97, 146}, {68, 176}, {79, 187}, {110, 154}, {78, 187}, {98,
151}, {103, 146}, {110, 155}, {20, 226}, {116, 130}, {34, 212}, {52, 194}, {47,
216}, {73, 190}, {51, 196}, {80, 167}, {105, 158}, {111, 152}, {22, 238}, {72,
176}, {31, 231}, {37, 221}, {59, 194}, {63, 198}, {109, 148}, {112, 137}, {26,
224}, {120, 130}, {50, 200}, {82, 168}, {97, 155}, {101, 159}, {24, 227}, {39,
220}, {42, 209}, {45, 214}, {91, 160}, {100, 159}, {40, 212}, {70, 186}, {60,
192}, {28, 225}, {41, 212}, {84, 169}, {86, 171}, {96, 157}, {107, 150}, {115,
142}, {114, 140}, {117, 139}, {17, 238}, {70, 185} }>;
(II) A more general form is to represent the graph as the orbit of {102, 127}
under the group generated by the following permutations:
a: (1, 3)(2, 13)(4, 5)(6, 31)(7, 8)(9, 38)(10, 11)(12, 42)(14, 15)(16, 17)(18,
27)(19, 20)(21, 22)(23, 64)(24, 25)(26, 52)(28, 29)(30, 47)(32, 50)(33, 49)(34,
48)(35, 36)(37, 80)(39, 57)(40, 56)(41, 85)(43, 81)(44, 45)(46, 65)(51, 71)(53,
74)(54, 73)(55, 93)(58, 97)(59, 60)(61, 78)(62, 77)(63, 109)(66, 67)(68, 69)(70,
86)(72, 75)(76, 95)(79, 101)(82, 99)(83, 94)(84, 116)(87, 88)(89, 98)(90,
104)(91, 103)(92, 102)(96, 111)(100, 113)(105, 110)(106, 108)(107, 117)(112,
114)(115, 120)(118, 119)(121, 227)(122, 147)(123, 224)(124, 149)(125, 186)(126,
161)(127, 156)(128, 218)(129, 233)(130, 169)(132, 153)(133, 136)(134, 232)(135,
239)(137, 238)(138, 142)(139, 195)(140, 189)(141, 179)(143, 202)(144, 231)(145,
194)(146, 160)(148, 240)(150, 183)(151, 203)(152, 157)(154, 213)(155, 172)(158,
237)(159, 187)(162, 181)(163, 216)(164, 236)(165, 222)(166, 223)(167, 221)(168,
180)(170, 228)(171, 185)(173, 229)(174, 220)(175, 201)(176, 200)(177, 226)(178,
234)(182, 211)(184, 217)(190, 230)(191, 235)(192, 214)(196, 225)(197, 205)(198,
215)(199, 206)(204, 209)(207, 208)(212, 219) (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: (33, 50)(40, 57)(54, 74)(55, 75)(62, 78)(63, 79)(76, 94)(84, 96)(91,
104)(106, 113)(107, 114)(115, 119)(134, 217)(136, 187)(138, 230)(140, 240)(141,
210)(142, 170)(150, 238)(157, 169)(158, 213)(160, 174)(165, 195)(173, 200)(179,
193)(182, 228)(190, 211)(198, 208)(202, 212)(223, 234)
c: (8, 15)(11, 20)(18, 30)(23, 37)(45, 67)(70, 89)(121, 124)(132, 199)(135,
196)(147, 231)(156, 226)(163, 218)(172, 236)(180, 191)(185, 203)(186, 221)(194,
214)(201, 204)
d: (1, 2, 12, 46, 25, 5)(3, 18, 43, 89, 42, 11, 6, 30, 24, 70, 60, 20)(4, 23,
82, 67, 13, 8, 9, 37, 65, 45, 26, 15)(7, 51, 66, 92, 64, 36, 14, 34, 44, 105,
80, 22)(10, 58, 98, 69, 27, 29, 19, 41, 86, 88, 47, 17)(16, 55, 87, 114, 85, 40,
28, 75, 68, 107, 97, 57)(21, 63, 110, 104, 48, 33, 35, 79, 102, 91, 71, 50)(31,
52, 59, 99, 81, 38)(32, 76, 90, 115, 101, 62)(39, 84, 112, 106, 72, 54)(49, 94,
103, 119, 109, 78)(53, 61, 100, 118, 111, 83)(56, 96, 117, 113, 93, 74)(73, 77,
108, 120, 116, 95)(121, 188, 186, 162, 204, 161, 124, 205, 221, 126, 201,
224)(122, 132, 227, 185, 192, 172, 167, 218, 168, 135, 209, 156)(123, 214, 233,
191, 197, 147, 129, 194, 181, 180, 131, 231)(125, 199, 235, 203, 175, 236, 144,
163, 149, 196, 145, 226)(127, 160, 239, 200, 128, 240, 155, 202, 171, 158, 153,
238)(130, 179, 232, 211, 133, 138)(134, 220, 223, 137, 136, 154, 165, 143, 169,
189, 208, 176)(139, 170, 215, 228, 178, 210)(140, 177, 212, 225, 213, 216, 150,
164, 174, 151, 173, 206)(141, 184, 142, 159, 182, 152)(146, 157, 183, 198, 237,
217, 219, 234, 148, 187, 229, 195)(166, 193, 222, 190, 207, 230)
e: (2, 5)(3, 15)(4, 20)(6, 8)(7, 17)(9, 11)(10, 22)(12, 25)(13, 30)(14, 29)(16,
33)(18, 26)(19, 36)(21, 40)(23, 60)(24, 67)(27, 34)(28, 50)(32, 74, 49, 54)(35,
57)(37, 42)(38, 52)(39, 78, 56, 62)(41, 64)(43, 45)(44, 69)(47, 51)(48, 55)(53,
73)(58, 80)(59, 81)(61, 95)(63, 85)(65, 89)(66, 88)(68, 91)(70, 82)(71, 75)(72,
94, 93, 76)(77, 83)(79, 97)(84, 101, 96, 109)(86, 92)(87, 104)(90, 113, 103,
106)(98, 105)(100, 116)(102, 107)(108, 111)(110, 114)(112, 119, 117, 115)(118,
120)(121, 161)(122, 156)(123, 231)(124, 224)(125, 226)(126, 221)(127, 150)(128,
212)(129, 147)(130, 182, 166, 228)(131, 214)(132, 209)(133, 141, 207, 210)(134,
176, 195, 229)(135, 227)(136, 143, 198, 219)(137, 234, 183, 169)(138, 178, 230,
152)(139, 190, 184, 211)(140, 155)(142, 222, 170, 232)(144, 236)(145, 199)(146,
208, 220, 187)(148, 223, 189, 157)(149, 203)(151, 158)(153, 174)(154, 217, 237,
165)(159, 179, 215, 193)(160, 216)(162, 186)(163, 175)(164, 238)(167, 172)(168,
185)(171, 173)(177, 240)(180, 233)(181, 191)(188, 204)(192, 218)(194, 197)(196,
235)(200, 225)(201, 205)(202, 206)(213, 239)
f: (16, 28)(21, 35)(48, 71)(68, 87)(85, 97)(102, 110)(127, 164)(128, 206)(137,
189)(143, 220)(146, 219)(148, 183)(151, 239)(153, 216)(154, 176)(155, 177)(171,
225)(229, 237)
g: (8, 15)(11, 20)(17, 29)(18, 30)(22, 36)(23, 37)(34, 51)(41, 58)(45, 67)(69,
88)(70, 89)(92, 105)(121, 124)(132, 218)(135, 185)(140, 238)(147, 231)(150,
240)(156, 172)(158, 173)(160, 212)(163, 199)(174, 202)(180, 191)(186, 221)(194,
214)(196, 203)(200, 213)(201, 204)(226, 236)
h: (7, 14)(10, 19)(27, 47)(44, 66)(64, 80)(86, 98)(122, 144)(125, 167)(127,
177)(128, 216)(145, 192)(149, 227)(151, 171)(153, 206)(155, 164)(168, 235)(175,
209)(225, 239)
m: (54, 74)(62, 78)(76, 94)(84, 96)(106, 113)(115, 119)(134, 195)(136, 198)(138,
230)(141, 210)(142, 170)(157, 223)(165, 217)(169, 234)(179, 193)(182, 228)(187,
208)(190, 211)
n1: (32, 49)(39, 56)(53, 73)(61, 77)(72, 93)(83, 95)(90, 103)(100, 108)(101,
109)(111, 116)(112, 117)(118, 120)(130, 152)(133, 159)(137, 183)(138, 228)(139,
222)(141, 193)(142, 190)(143, 219)(146, 220)(148, 189)(154, 237)(166, 178)(170,
211)(176, 229)(179, 210)(182, 230)(184, 232)(207, 215)
a1: (3, 6)(4, 9)(13, 26)(24, 43)(42, 60)(65, 82)(122, 125)(123, 129)(126,
162)(131, 197)(144, 167)(145, 209)(149, 168)(161, 224)(175, 192)(181, 233)(188,
205)(227, 235)
C4[ 240, 43 ]
240
-1 221 126 162 186
-2 201 126 204 162
-3 167 125 181 161
-4 188 167 125 197
-5 188 221 205 186
-6 122 144 233 224
-7 168 127 149 164
-8 156 124 180 236
-9 122 144 205 131
-10 192 127 164 175
-11 156 201 214 236
-12 201 224 204 161
-13 209 181 161 175
-14 155 177 235 227
-15 121 191 226 172
-16 137 171 183 151
-17 203 150 238 185
-18 199 124 180 218
-19 209 155 177 145
-20 204 226 172 194
-21 137 128 183 216
-22 150 238 163 218
-23 199 147 218 186
-24 188 149 227 197
-25 121 188 124 205
-26 145 233 224 192
-27 168 149 128 206
-28 189 148 225 239
-29 135 140 196 240
-30 121 132 191 163
-31 231 123 147 129
-32 154 176 166 152
-33 234 158 169 173
-34 212 202 203 185
-35 189 148 206 153
-36 132 199 140 240
-37 132 231 221 163
-38 231 147 131 197
-39 143 220 166 152
-40 212 234 169 160
-41 156 212 202 226
-42 209 123 126 175
-43 168 235 205 131
-44 192 225 171 175
-45 201 214 185 196
-46 121 124 224 161
-47 235 216 227 153
-48 143 171 151 219
-49 178 237 130 229
-50 200 157 223 213
-51 135 160 174 196
-52 123 214 194 129
-53 170 139 184 142
-54 165 134 182 230
-55 198 136 158 173
-56 178 146 130 219
-57 157 223 202 174
-58 236 160 172 174
-59 233 181 214 194
-60 145 192 129 162
-61 159 170 215 142
-62 136 182 208 230
-63 198 136 150 240
-64 122 125 128 206
-65 123 126 149 227
-66 209 145 151 239
-67 135 203 204 194
-68 176 128 216 229
-69 200 173 163 218
-70 147 185 196 186
-71 220 146 225 239
-72 154 176 159 207
-73 232 211 222 190
-74 138 195 217 228
-75 187 200 213 208
-76 165 134 193 141
-77 133 211 190 207
-78 187 198 138 228
-79 187 238 140 208
-80 144 167 216 153
-81 180 191 131 197
-82 168 235 129 162
-83 210 139 184 141
-84 223 169 193 141
-85 143 177 127 219
-86 122 125 225 171
-87 154 237 206 153
-88 132 199 158 213
-89 231 221 135 203
-90 143 220 222 184
-91 134 212 160 195
-92 156 200 226 173
-93 133 215 237 229
-94 210 179 195 217
-95 232 222 179 193
-96 210 157 179 234
-97 220 155 146 164
-98 144 167 151 239
-99 233 180 191 181
-100 159 182 215 228
-101 189 137 159 207
-102 176 177 127 229
-103 232 146 139 219
-104 165 202 217 174
-105 158 213 236 172
-106 190 136 142 208
-107 134 150 195 240
-108 133 138 207 230
-109 133 148 215 183
-110 154 155 237 164
-111 210 178 141 152
-112 189 222 137 184
-113 187 198 211 170
-114 165 238 140 217
-115 190 223 169 142
-116 166 179 193 130
-117 232 148 139 183
-118 178 182 228 152
-119 211 157 234 170
-120 166 138 130 230
-121 46 25 15 30
-122 6 9 64 86
-123 52 31 42 65
-124 46 25 18 8
-125 3 4 64 86
-126 1 2 42 65
-127 102 7 85 10
-128 68 27 64 21
-129 60 82 52 31
-130 56 49 116 120
-131 81 38 9 43
-132 88 36 37 30
-133 77 93 108 109
-134 91 107 54 76
-135 67 89 29 51
-136 55 62 106 63
-137 101 112 16 21
-138 78 74 108 120
-139 103 83 117 53
-140 79 36 114 29
-141 111 83 84 76
-142 115 61 106 53
-143 90 48 39 85
-144 80 6 9 98
-145 66 26 60 19
-146 56 103 71 97
-147 23 70 38 31
-148 35 28 117 109
-149 24 27 7 65
-150 22 17 63 107
-151 66 48 16 98
-152 111 39 118 32
-153 35 47 80 87
-154 110 72 32 87
-155 110 14 19 97
-156 11 92 8 41
-157 57 50 96 119
-158 33 55 88 105
-159 100 101 61 72
-160 58 91 40 51
-161 12 13 46 3
-162 1 2 60 82
-163 22 69 37 30
-164 110 7 97 10
-165 114 104 54 76
-166 39 116 32 120
-167 3 80 4 98
-168 27 82 7 43
-169 33 115 40 84
-170 113 61 53 119
-171 44 48 16 86
-172 58 15 105 20
-173 33 55 69 92
-174 57 58 104 51
-175 44 13 42 10
-176 68 102 72 32
-177 14 102 19 85
-178 56 111 49 118
-179 94 116 95 96
-180 99 81 18 8
-181 99 13 3 59
-182 100 62 118 54
-183 16 117 21 109
-184 90 112 83 53
-185 34 45 70 17
-186 1 23 70 5
-187 78 79 113 75
-188 24 25 4 5
-189 35 101 112 28
-190 77 115 73 106
-191 99 15 81 30
-192 44 26 60 10
-193 116 84 95 76
-194 67 59 52 20
-195 91 94 74 107
-196 45 70 29 51
-197 24 4 81 38
-198 55 78 113 63
-199 88 23 36 18
-200 69 92 50 75
-201 11 12 45 2
-202 34 57 104 41
-203 34 67 89 17
-204 12 67 2 20
-205 25 5 9 43
-206 35 27 64 87
-207 77 101 72 108
-208 79 62 106 75
-209 66 13 19 42
-210 111 83 94 96
-211 77 113 73 119
-212 34 91 40 41
-213 88 50 105 75
-214 11 45 59 52
-215 100 93 61 109
-216 68 47 80 21
-217 114 104 94 74
-218 22 23 69 18
-219 56 48 103 85
-220 90 71 39 97
-221 1 89 37 5
-222 90 112 73 95
-223 57 115 50 84
-224 12 46 26 6
-225 44 71 28 86
-226 15 92 41 20
-227 24 14 47 65
-228 78 100 74 118
-229 68 102 49 93
-230 62 108 54 120
-231 89 37 38 31
-232 103 73 95 117
-233 99 26 59 6
-234 33 40 96 119
-235 14 47 82 43
-236 11 58 105 8
-237 110 49 93 87
-238 22 79 114 17
-239 66 71 28 98
-240 36 29 63 107
0