Graph forms
for C4 [ 243, 11 ] = AMC(3,9,[1.5:3.1])
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On this page are computer-accessible forms for the graph C4[ 243, 11 ] =
AMC(3,9,[1.5:3.1]).
(I) Following is a form readable by MAGMA:
g:=Graph<243|{ {160, 165}, {162, 167}, {161, 166}, {80, 89}, {81, 90}, {79, 88},
{74, 83}, {76, 85}, {78, 87}, {73, 82}, {77, 86}, {75, 84}, {154, 168}, {155,
169}, {156, 170}, {157, 171}, {159, 164}, {158, 163}, {132, 199}, {160, 227},
{152, 219}, {144, 211}, {153, 220}, {161, 228}, {162, 229}, {16, 88}, {55, 127},
{54, 126}, {53, 125}, {52, 124}, {51, 123}, {50, 122}, {49, 121}, {48, 120},
{39, 111}, {38, 110}, {17, 89}, {18, 90}, {19, 91}, {20, 92}, {21, 93}, {22,
94}, {23, 95}, {32, 104}, {33, 105}, {34, 106}, {35, 107}, {36, 108}, {37, 109},
{128, 204}, {147, 223}, {146, 222}, {145, 221}, {131, 207}, {130, 206}, {129,
205}, {133, 200}, {151, 218}, {135, 202}, {134, 201}, {150, 217}, {140, 216},
{10, 82}, {47, 119}, {46, 118}, {45, 117}, {44, 116}, {43, 115}, {42, 114}, {41,
113}, {40, 112}, {11, 83}, {12, 84}, {13, 85}, {14, 86}, {15, 87}, {1, 91},
{135, 221}, {134, 220}, {131, 217}, {4, 94}, {5, 95}, {32, 122}, {33, 123}, {36,
126}, {37, 127}, {136, 212}, {139, 215}, {138, 214}, {137, 213}, {141, 208},
{143, 210}, {2, 92}, {133, 219}, {132, 218}, {3, 93}, {34, 124}, {35, 125},
{128, 223}, {142, 209}, {129, 224}, {147, 242}, {145, 240}, {139, 234}, {137,
232}, {130, 225}, {146, 241}, {138, 233}, {6, 96}, {7, 97}, {14, 104}, {15,
105}, {22, 112}, {23, 113}, {30, 120}, {31, 121}, {148, 243}, {8, 98}, {143,
229}, {142, 228}, {9, 99}, {12, 102}, {13, 103}, {24, 114}, {25, 115}, {28,
118}, {29, 119}, {10, 100}, {141, 227}, {140, 226}, {11, 101}, {26, 116}, {27,
117}, {136, 231}, {148, 224}, {158, 234}, {157, 233}, {156, 232}, {149, 225},
{144, 230}, {153, 239}, {152, 238}, {24, 96}, {25, 97}, {26, 98}, {27, 99}, {28,
100}, {29, 101}, {30, 102}, {31, 103}, {16, 106}, {151, 237}, {150, 236}, {17,
107}, {20, 110}, {21, 111}, {154, 230}, {155, 231}, {159, 226}, {18, 108}, {149,
235}, {19, 109}, {36, 172}, {54, 190}, {81, 217}, {32, 177}, {46, 191}, {44,
189}, {42, 187}, {40, 185}, {38, 183}, {34, 179}, {64, 209}, {66, 211}, {68,
213}, {70, 215}, {74, 219}, {76, 221}, {78, 223}, {33, 178}, {41, 186}, {37,
182}, {65, 210}, {69, 214}, {73, 218}, {77, 222}, {35, 180}, {43, 188}, {67,
212}, {75, 220}, {45, 181}, {72, 208}, {2, 155}, {4, 157}, {6, 159}, {1, 154},
{5, 158}, {3, 156}, {39, 184}, {71, 216}, {101, 196}, {127, 222}, {121, 216},
{119, 214}, {103, 198}, {109, 204}, {111, 206}, {83, 240}, {118, 213}, {102,
197}, {110, 205}, {84, 241}, {86, 243}, {38, 128}, {55, 145}, {54, 144}, {47,
137}, {46, 136}, {39, 129}, {62, 152}, {63, 153}, {7, 160}, {85, 242}, {100,
195}, {8, 161}, {40, 130}, {126, 212}, {123, 209}, {122, 208}, {57, 147}, {56,
146}, {45, 135}, {44, 134}, {41, 131}, {60, 150}, {61, 151}, {106, 192}, {107,
193}, {9, 162}, {42, 132}, {125, 211}, {124, 210}, {58, 148}, {43, 133}, {59,
149}, {108, 194}, {31, 176}, {120, 215}, {79, 224}, {20, 165}, {22, 167}, {24,
169}, {26, 171}, {28, 173}, {30, 175}, {80, 225}, {4, 183}, {8, 187}, {12, 191},
{21, 166}, {25, 170}, {29, 174}, {88, 236}, {127, 203}, {119, 195}, {118, 194},
{89, 237}, {90, 238}, {3, 182}, {9, 188}, {11, 190}, {113, 199}, {2, 181}, {19,
164}, {27, 163}, {59, 131}, {58, 130}, {57, 129}, {56, 128}, {60, 132}, {61,
133}, {62, 134}, {63, 135}, {48, 138}, {53, 143}, {52, 142}, {49, 139}, {114,
200}, {115, 201}, {1, 189}, {122, 198}, {121, 197}, {120, 196}, {87, 235}, {5,
184}, {125, 192}, {7, 186}, {82, 239}, {50, 140}, {117, 203}, {51, 141}, {116,
202}, {6, 185}, {126, 193}, {23, 168}, {112, 207}, {96, 163}, {124, 191}, {108,
175}, {116, 183}, {28, 216}, {55, 243}, {46, 234}, {37, 225}, {97, 164}, {123,
190}, {99, 166}, {105, 172}, {107, 174}, {115, 182}, {98, 165}, {106, 173},
{114, 181}, {64, 136}, {65, 137}, {66, 138}, {67, 139}, {68, 140}, {69, 141},
{70, 142}, {71, 143}, {80, 152}, {81, 153}, {10, 198}, {112, 188}, {113, 189},
{13, 192}, {47, 226}, {45, 224}, {15, 194}, {29, 208}, {31, 210}, {61, 240},
{63, 242}, {117, 184}, {14, 193}, {30, 209}, {62, 241}, {16, 195}, {56, 235},
{52, 231}, {48, 227}, {20, 199}, {24, 203}, {60, 239}, {100, 176}, {101, 177},
{102, 178}, {103, 179}, {109, 185}, {110, 186}, {111, 187}, {17, 196}, {57,
236}, {51, 230}, {49, 228}, {25, 204}, {27, 206}, {59, 238}, {96, 182}, {97,
183}, {104, 190}, {105, 191}, {18, 197}, {58, 237}, {50, 229}, {26, 205}, {72,
144}, {73, 145}, {74, 146}, {75, 147}, {76, 148}, {77, 149}, {78, 150}, {79,
151}, {64, 154}, {65, 155}, {68, 158}, {69, 159}, {98, 184}, {99, 185}, {19,
207}, {104, 180}, {21, 200}, {53, 232}, {23, 202}, {66, 156}, {67, 157}, {22,
201}, {54, 233}, {83, 178}, {85, 180}, {91, 186}, {93, 188}, {1, 227}, {4, 230},
{5, 231}, {8, 234}, {12, 238}, {13, 239}, {16, 242}, {17, 243}, {65, 163}, {68,
166}, {69, 167}, {72, 170}, {76, 174}, {77, 175}, {80, 178}, {81, 179}, {82,
177}, {94, 189}, {2, 228}, {3, 229}, {10, 236}, {11, 237}, {66, 164}, {67, 165},
{70, 160}, {71, 161}, {74, 172}, {75, 173}, {84, 179}, {92, 187}, {72, 162},
{90, 176}, {95, 181}, {9, 226}, {64, 171}, {6, 232}, {7, 233}, {70, 168}, {71,
169}, {47, 192}, {48, 193}, {58, 203}, {56, 201}, {52, 197}, {50, 195}, {60,
205}, {62, 207}, {32, 211}, {57, 202}, {53, 198}, {49, 194}, {44, 223}, {40,
219}, {36, 215}, {61, 206}, {92, 168}, {93, 169}, {94, 170}, {95, 171}, {33,
212}, {43, 222}, {41, 220}, {35, 214}, {88, 174}, {89, 175}, {34, 213}, {51,
196}, {42, 221}, {59, 204}, {63, 199}, {18, 235}, {86, 172}, {87, 173}, {91,
167}, {39, 218}, {73, 180}, {14, 240}, {15, 241}, {78, 176}, {79, 177}, {38,
217}, {55, 200} }>;
(II) A more general form is to represent the graph as the orbit of {160, 165}
under the group generated by the following permutations:
a: (1, 82, 163)(2, 110, 224)(3, 138, 195)(4, 85, 166)(5, 113, 218)(6, 141,
198)(7, 88, 169)(8, 116, 221)(9, 144, 192)(10, 96, 227)(11, 124, 207)(12, 152,
178)(13, 99, 230)(14, 118, 201)(15, 146, 172)(16, 93, 233)(17, 121, 204)(18,
149, 175)(19, 101, 210)(20, 129, 181)(21, 157, 242)(22, 104, 213)(23, 132,
184)(24, 160, 236)(25, 107, 216)(26, 135, 187)(27, 154, 239)(28, 115, 193)(29,
143, 164)(30, 90, 225)(31, 109, 196)(32, 137, 167)(33, 84, 219)(34, 112,
190)(35, 140, 170)(36, 87, 222)(37, 120, 176)(38, 148, 228)(39, 95, 199)(40,
123, 179)(41, 151, 231)(42, 98, 202)(43, 126, 173)(44, 145, 234)(45, 92,
205)(46, 134, 240)(47, 162, 211)(48, 100, 182)(49, 128, 243)(50, 156, 214)(51,
103, 185)(52, 131, 237)(53, 159, 208)(54, 106, 188)(55, 139, 223)(56, 86,
194)(57, 114, 165)(58, 142, 217)(59, 89, 197)(60, 117, 168)(61, 136, 220)(62,
83, 191)(63, 111, 171)(64, 153, 206)(65, 91, 177)(66, 119, 229)(67, 147,
200)(68, 94, 180)(69, 122, 232)(70, 150, 203)(71, 97, 174)(72, 125, 226)(73,
158, 189)(74, 105, 241)(75, 133, 212)(76, 161, 183)(77, 108, 235)(78, 127,
215)(79, 155, 186)(80, 102, 238)(81, 130, 209) (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, 10, 19, 28, 37, 46, 55, 64, 73)(2, 11, 20, 29, 38, 47, 56, 65, 74)(3, 12,
21, 30, 39, 48, 57, 66, 75)(4, 13, 22, 31, 40, 49, 58, 67, 76)(5, 14, 23, 32,
41, 50, 59, 68, 77)(6, 15, 24, 33, 42, 51, 60, 69, 78)(7, 16, 25, 34, 43, 52,
61, 70, 79)(8, 17, 26, 35, 44, 53, 62, 71, 80)(9, 18, 27, 36, 45, 54, 63, 72,
81)(82, 91, 100, 109, 118, 127, 136, 145, 154)(83, 92, 101, 110, 119, 128, 137,
146, 155)(84, 93, 102, 111, 120, 129, 138, 147, 156)(85, 94, 103, 112, 121, 130,
139, 148, 157)(86, 95, 104, 113, 122, 131, 140, 149, 158)(87, 96, 105, 114, 123,
132, 141, 150, 159)(88, 97, 106, 115, 124, 133, 142, 151, 160)(89, 98, 107, 116,
125, 134, 143, 152, 161)(90, 99, 108, 117, 126, 135, 144, 153, 162)(163, 172,
181, 190, 199, 208, 217, 226, 235)(164, 173, 182, 191, 200, 209, 218, 227,
236)(165, 174, 183, 192, 201, 210, 219, 228, 237)(166, 175, 184, 193, 202, 211,
220, 229, 238)(167, 176, 185, 194, 203, 212, 221, 230, 239)(168, 177, 186, 195,
204, 213, 222, 231, 240)(169, 178, 187, 196, 205, 214, 223, 232, 241)(170, 179,
188, 197, 206, 215, 224, 233, 242)(171, 180, 189, 198, 207, 216, 225, 234,
243)
c: (2, 9)(3, 8)(4, 7)(5, 6)(10, 73)(11, 81)(12, 80)(13, 79)(14, 78)(15, 77)(16,
76)(17, 75)(18, 74)(19, 64)(20, 72)(21, 71)(22, 70)(23, 69)(24, 68)(25, 67)(26,
66)(27, 65)(28, 55)(29, 63)(30, 62)(31, 61)(32, 60)(33, 59)(34, 58)(35, 57)(36,
56)(37, 46)(38, 54)(39, 53)(40, 52)(41, 51)(42, 50)(43, 49)(44, 48)(45, 47)(83,
90)(84, 89)(85, 88)(86, 87)(91, 154)(92, 162)(93, 161)(94, 160)(95, 159)(96,
158)(97, 157)(98, 156)(99, 155)(100, 145)(101, 153)(102, 152)(103, 151)(104,
150)(105, 149)(106, 148)(107, 147)(108, 146)(109, 136)(110, 144)(111, 143)(112,
142)(113, 141)(114, 140)(115, 139)(116, 138)(117, 137)(118, 127)(119, 135)(120,
134)(121, 133)(122, 132)(123, 131)(124, 130)(125, 129)(126, 128)(164, 171)(165,
170)(166, 169)(167, 168)(172, 235)(173, 243)(174, 242)(175, 241)(176, 240)(177,
239)(178, 238)(179, 237)(180, 236)(181, 226)(182, 234)(183, 233)(184, 232)(185,
231)(186, 230)(187, 229)(188, 228)(189, 227)(190, 217)(191, 225)(192, 224)(193,
223)(194, 222)(195, 221)(196, 220)(197, 219)(198, 218)(199, 208)(200, 216)(201,
215)(202, 214)(203, 213)(204, 212)(205, 211)(206, 210)(207, 209)
d: (1, 2, 3, 4, 5, 6, 7, 8, 9)(10, 11, 12, 13, 14, 15, 16, 17, 18)(19, 20, 21,
22, 23, 24, 25, 26, 27)(28, 29, 30, 31, 32, 33, 34, 35, 36)(37, 38, 39, 40, 41,
42, 43, 44, 45)(46, 47, 48, 49, 50, 51, 52, 53, 54)(55, 56, 57, 58, 59, 60, 61,
62, 63)(64, 65, 66, 67, 68, 69, 70, 71, 72)(73, 74, 75, 76, 77, 78, 79, 80,
81)(82, 83, 84, 85, 86, 87, 88, 89, 90)(91, 92, 93, 94, 95, 96, 97, 98, 99)(100,
101, 102, 103, 104, 105, 106, 107, 108)(109, 110, 111, 112, 113, 114, 115, 116,
117)(118, 119, 120, 121, 122, 123, 124, 125, 126)(127, 128, 129, 130, 131, 132,
133, 134, 135)(136, 137, 138, 139, 140, 141, 142, 143, 144)(145, 146, 147, 148,
149, 150, 151, 152, 153)(154, 155, 156, 157, 158, 159, 160, 161, 162)(163, 164,
165, 166, 167, 168, 169, 170, 171)(172, 173, 174, 175, 176, 177, 178, 179,
180)(181, 182, 183, 184, 185, 186, 187, 188, 189)(190, 191, 192, 193, 194, 195,
196, 197, 198)(199, 200, 201, 202, 203, 204, 205, 206, 207)(208, 209, 210, 211,
212, 213, 214, 215, 216)(217, 218, 219, 220, 221, 222, 223, 224, 225)(226, 227,
228, 229, 230, 231, 232, 233, 234)(235, 236, 237, 238, 239, 240, 241, 242,
243)
C4[ 243, 11 ]
243
-1 154 189 91 227
-2 155 92 181 228
-3 156 93 182 229
-4 157 94 183 230
-5 231 158 95 184
-6 232 159 96 185
-7 233 160 97 186
-8 187 234 161 98
-9 99 188 226 162
-10 198 100 82 236
-11 101 190 83 237
-12 102 191 84 238
-13 103 192 85 239
-14 104 193 86 240
-15 105 194 87 241
-16 88 242 106 195
-17 89 243 107 196
-18 90 235 108 197
-19 91 207 109 164
-20 110 165 199 92
-21 111 166 200 93
-22 112 167 201 94
-23 113 168 202 95
-24 114 169 203 96
-25 115 170 204 97
-26 116 171 205 98
-27 99 117 206 163
-28 100 216 118 173
-29 101 119 174 208
-30 209 102 120 175
-31 121 176 210 103
-32 122 177 211 104
-33 123 178 212 105
-34 124 179 213 106
-35 125 180 214 107
-36 126 215 172 108
-37 225 127 182 109
-38 110 128 183 217
-39 111 129 184 218
-40 112 130 185 219
-41 220 113 131 186
-42 132 187 221 114
-43 133 188 222 115
-44 134 189 223 116
-45 135 224 181 117
-46 234 136 191 118
-47 137 192 226 119
-48 138 193 227 120
-49 121 139 194 228
-50 122 140 195 229
-51 123 141 196 230
-52 231 124 142 197
-53 143 198 232 125
-54 144 233 190 126
-55 243 145 200 127
-56 146 201 235 128
-57 147 202 236 129
-58 148 203 237 130
-59 149 204 238 131
-60 132 150 205 239
-61 133 151 206 240
-62 134 152 207 241
-63 242 199 135 153
-64 154 209 136 171
-65 155 210 137 163
-66 156 211 138 164
-67 165 157 212 139
-68 166 158 213 140
-69 167 159 214 141
-70 168 160 215 142
-71 143 169 161 216
-72 144 170 162 208
-73 145 180 82 218
-74 146 83 172 219
-75 220 147 84 173
-76 221 148 85 174
-77 222 149 86 175
-78 176 223 150 87
-79 88 177 224 151
-80 89 178 225 152
-81 90 179 217 153
-82 177 73 239 10
-83 11 178 74 240
-84 12 179 75 241
-85 242 13 180 76
-86 77 243 14 172
-87 78 15 235 173
-88 79 16 236 174
-89 80 17 237 175
-90 176 81 18 238
-91 1 167 19 186
-92 187 2 168 20
-93 188 3 169 21
-94 22 189 4 170
-95 23 5 181 171
-96 24 6 182 163
-97 25 7 183 164
-98 165 26 8 184
-99 166 27 9 185
-100 176 28 195 10
-101 11 177 29 196
-102 12 178 30 197
-103 198 13 179 31
-104 14 190 180 32
-105 33 15 191 172
-106 34 16 192 173
-107 35 17 193 174
-108 36 18 194 175
-109 37 204 19 185
-110 38 205 20 186
-111 187 39 206 21
-112 22 188 40 207
-113 23 199 189 41
-114 24 200 181 42
-115 25 201 182 43
-116 44 26 202 183
-117 45 27 203 184
-118 46 213 28 194
-119 47 214 29 195
-120 48 215 30 196
-121 49 216 31 197
-122 198 50 32 208
-123 33 209 190 51
-124 34 210 191 52
-125 35 211 192 53
-126 36 212 193 54
-127 55 222 37 203
-128 56 223 38 204
-129 57 224 39 205
-130 58 225 40 206
-131 59 41 217 207
-132 199 60 42 218
-133 200 61 43 219
-134 44 220 201 62
-135 45 221 202 63
-136 231 46 212 64
-137 232 47 213 65
-138 66 233 48 214
-139 67 234 49 215
-140 68 50 226 216
-141 69 51 227 208
-142 209 70 52 228
-143 210 71 53 229
-144 211 72 54 230
-145 55 221 73 240
-146 56 222 74 241
-147 242 57 223 75
-148 243 58 224 76
-149 77 59 235 225
-150 78 60 236 217
-151 79 61 237 218
-152 80 62 238 219
-153 220 81 63 239
-154 1 168 64 230
-155 231 2 169 65
-156 66 232 3 170
-157 67 233 4 171
-158 68 234 5 163
-159 69 6 226 164
-160 165 70 7 227
-161 166 71 8 228
-162 167 72 9 229
-163 158 27 96 65
-164 66 159 19 97
-165 67 160 20 98
-166 99 68 161 21
-167 22 69 91 162
-168 154 23 70 92
-169 155 24 71 93
-170 156 25 72 94
-171 157 26 95 64
-172 36 105 74 86
-173 28 106 75 87
-174 88 29 107 76
-175 77 89 30 108
-176 78 100 90 31
-177 79 101 82 32
-178 33 80 102 83
-179 34 81 103 84
-180 35 104 73 85
-181 45 2 114 95
-182 3 37 115 96
-183 4 38 116 97
-184 5 39 117 98
-185 99 6 40 109
-186 110 91 7 41
-187 111 92 8 42
-188 112 93 9 43
-189 44 1 113 94
-190 11 123 104 54
-191 12 46 124 105
-192 13 47 125 106
-193 14 48 126 107
-194 15 49 118 108
-195 100 16 50 119
-196 101 17 51 120
-197 121 102 18 52
-198 122 103 53 10
-199 132 113 63 20
-200 55 133 114 21
-201 22 56 134 115
-202 23 57 135 116
-203 24 58 127 117
-204 25 59 128 109
-205 110 26 60 129
-206 111 27 61 130
-207 112 62 19 131
-208 122 72 29 141
-209 123 30 64 142
-210 143 124 31 65
-211 66 144 125 32
-212 33 67 136 126
-213 34 68 137 118
-214 35 69 138 119
-215 36 70 139 120
-216 121 71 28 140
-217 81 38 150 131
-218 132 39 73 151
-219 133 40 74 152
-220 134 41 75 153
-221 145 135 42 76
-222 77 146 127 43
-223 44 78 147 128
-224 45 79 148 129
-225 80 37 149 130
-226 47 159 140 9
-227 1 48 160 141
-228 2 49 161 142
-229 143 3 50 162
-230 154 144 4 51
-231 155 136 5 52
-232 156 137 6 53
-233 157 138 7 54
-234 46 158 139 8
-235 56 149 18 87
-236 88 57 150 10
-237 11 89 58 151
-238 12 90 59 152
-239 13 60 82 153
-240 145 14 61 83
-241 146 15 62 84
-242 147 16 63 85
-243 55 148 17 86
0