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