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