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