Graph forms
for C4 [ 240, 162 ] =
BGCG(UG(ATD[60,16]);K2;{16,17})
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On this page are computer-accessible forms for the graph C4[ 240, 162 ] =
BGCG(UG(ATD[60,16]);K2;{16,17}).
(I) Following is a form readable by MAGMA:
g:=Graph<240|{ {104, 121}, {109, 127}, {106, 121}, {107, 127}, {92, 124}, {84,
126}, {77, 125}, {76, 125}, {72, 122}, {73, 124}, {66, 123}, {71, 126}, {67,
122}, {63, 123}, {54, 127}, {46, 122}, {44, 122}, {32, 123}, {24, 125}, {16,
126}, {17, 126}, {12, 121}, {9, 127}, {11, 125}, {13, 123}, {6, 124}, {7, 121},
{3, 124}, {7, 135}, {11, 139}, {84, 212}, {23, 150}, {77, 204}, {33, 160}, {103,
230}, {104, 233}, {10, 136}, {33, 162}, {74, 201}, {65, 194}, {89, 218}, {46,
170}, {74, 206}, {97, 229}, {30, 155}, {58, 191}, {51, 182}, {53, 176}, {91,
222}, {96, 229}, {19, 149}, {24, 158}, {1, 134}, {54, 177}, {47, 168}, {82,
213}, {105, 238}, {15, 135}, {77, 197}, {64, 200}, {25, 145}, {81, 217}, {101,
237}, {6, 143}, {69, 204}, {7, 142}, {3, 137}, {4, 142}, {96, 234}, {44, 167},
{102, 237}, {15, 131}, {20, 152}, {27, 151}, {30, 146}, {6, 139}, {43, 166},
{50, 191}, {26, 148}, {72, 198}, {87, 216}, {104, 231}, {45, 189}, {2, 147},
{60, 173}, {55, 166}, {12, 157}, {94, 207}, {1, 147}, {20, 134}, {31, 141}, {38,
180}, {43, 185}, {47, 189}, {8, 155}, {119, 228}, {62, 173}, {55, 164}, {33,
178}, {36, 183}, {37, 182}, {39, 180}, {78, 221}, {85, 198}, {16, 132}, {114,
230}, {22, 130}, {78, 218}, {93, 201}, {15, 154}, {73, 220}, {70, 211}, {16,
133}, {41, 188}, {48, 165}, {94, 203}, {81, 199}, {114, 228}, {21, 130}, {64,
215}, {39, 176}, {20, 140}, {27, 131}, {92, 196}, {28, 133}, {119, 238}, {40,
177}, {48, 170}, {74, 208}, {56, 162}, {89, 195}, {95, 197}, {106, 240}, {70,
221}, {119, 236}, {112, 235}, {34, 190}, {56, 164}, {23, 138}, {65, 220}, {58,
167}, {50, 175}, {83, 206}, {32, 190}, {38, 184}, {51, 173}, {95, 193}, {23,
136}, {117, 234}, {21, 181}, {28, 188}, {25, 184}, {26, 187}, {45, 140}, {46,
143}, {108, 205}, {9, 171}, {14, 172}, {82, 240}, {112, 210}, {41, 138}, {116,
215}, {58, 153}, {50, 145}, {30, 186}, {79, 235}, {28, 185}, {71, 226}, {77,
232}, {102, 195}, {103, 194}, {49, 151}, {117, 211}, {107, 205}, {112, 214},
{68, 227}, {75, 236}, {11, 163}, {120, 208}, {72, 224}, {18, 186}, {8, 161},
{70, 239}, {61, 148}, {40, 129}, {6, 172}, {117, 223}, {62, 148}, {5, 174},
{116, 223}, {52, 159}, {97, 202}, {111, 196}, {2, 174}, {119, 219}, {78, 226},
{13, 160}, {26, 183}, {32, 141}, {49, 156}, {51, 158}, {49, 159}, {120, 214},
{65, 239}, {60, 146}, {55, 153}, {105, 199}, {110, 192}, {4, 171}, {28, 179},
{29, 178}, {47, 128}, {19, 163}, {24, 168}, {31, 175}, {80, 224}, {98, 210},
{101, 213}, {113, 193}, {16, 161}, {36, 149}, {49, 128}, {89, 232}, {90, 233},
{7, 179}, {48, 132}, {53, 129}, {35, 150}, {63, 138}, {40, 157}, {110, 219},
{13, 187}, {118, 192}, {31, 169}, {87, 225}, {39, 144}, {86, 225}, {99, 212},
{34, 154}, {61, 133}, {19, 169}, {42, 144}, {98, 217}, {25, 165}, {118, 202},
{40, 148}, {8, 181}, {37, 152}, {55, 137}, {117, 203}, {102, 216}, {113, 207},
{35, 156}, {22, 214}, {45, 237}, {104, 168}, {114, 178}, {14, 207}, {70, 135},
{46, 239}, {111, 174}, {9, 203}, {31, 221}, {36, 230}, {93, 159}, {103, 165},
{4, 199}, {75, 136}, {14, 205}, {37, 230}, {106, 169}, {5, 193}, {14, 202}, {29,
217}, {42, 238}, {44, 232}, {95, 155}, {2, 199}, {69, 128}, {86, 147}, {108,
169}, {44, 234}, {83, 149}, {90, 156}, {41, 238}, {80, 151}, {85, 146}, {94,
153}, {9, 192}, {12, 197}, {84, 157}, {76, 134}, {95, 149}, {108, 166}, {18,
217}, {71, 140}, {67, 136}, {20, 223}, {24, 211}, {90, 145}, {18, 222}, {27,
215}, {99, 175}, {107, 167}, {36, 233}, {64, 141}, {109, 160}, {43, 229}, {67,
141}, {66, 140}, {21, 218}, {76, 131}, {75, 132}, {87, 152}, {57, 233}, {115,
163}, {59, 235}, {81, 129}, {99, 179}, {112, 160}, {3, 210}, {98, 179}, {66,
144}, {75, 153}, {92, 142}, {1, 210}, {54, 229}, {12, 223}, {82, 129}, {87,
132}, {10, 222}, {83, 135}, {97, 181}, {54, 227}, {116, 161}, {80, 133}, {91,
142}, {98, 183}, {107, 190}, {13, 219}, {120, 174}, {115, 165}, {73, 159}, {72,
158}, {59, 237}, {22, 192}, {100, 178}, {17, 198}, {116, 163}, {105, 190}, {52,
236}, {68, 156}, {59, 227}, {56, 224}, {96, 184}, {29, 196}, {62, 231}, {57,
224}, {79, 150}, {17, 203}, {23, 205}, {83, 137}, {111, 181}, {80, 139}, {1,
221}, {63, 227}, {4, 216}, {25, 197}, {21, 200}, {103, 186}, {5, 219}, {118,
168}, {10, 212}, {88, 134}, {101, 187}, {110, 176}, {113, 175}, {56, 216}, {35,
194}, {74, 171}, {47, 206}, {52, 213}, {92, 189}, {85, 183}, {88, 186}, {105,
139}, {32, 195}, {71, 164}, {61, 222}, {88, 187}, {90, 185}, {94, 189}, {15,
235}, {35, 198}, {45, 200}, {52, 209}, {53, 208}, {79, 170}, {68, 162}, {100,
130}, {3, 228}, {59, 220}, {81, 182}, {89, 177}, {60, 213}, {120, 145}, {115,
154}, {69, 172}, {66, 171}, {102, 143}, {2, 232}, {11, 225}, {43, 193}, {86,
188}, {33, 202}, {79, 164}, {91, 176}, {8, 228}, {118, 154}, {65, 173}, {64,
172}, {61, 209}, {37, 201}, {88, 180}, {93, 177}, {99, 143}, {101, 137}, {57,
212}, {82, 191}, {34, 204}, {76, 162}, {63, 209}, {42, 196}, {50, 220}, {86,
184}, {108, 131}, {51, 195}, {91, 170}, {34, 208}, {68, 182}, {111, 157}, {114,
128}, {18, 225}, {60, 207}, {58, 201}, {84, 167}, {85, 166}, {113, 130}, {30,
234}, {39, 211}, {5, 240}, {73, 188}, {57, 204}, {109, 152}, {17, 231}, {62,
200}, {96, 150}, {97, 151}, {109, 155}, {38, 209}, {67, 180}, {53, 194}, {78,
185}, {100, 147}, {26, 226}, {22, 239}, {115, 138}, {27, 226}, {10, 240}, {69,
191}, {29, 231}, {100, 158}, {106, 144}, {38, 218}, {93, 161}, {110, 146}, {42,
215}, {48, 206}, {19, 236}, {41, 214} }>;
(II) A more general form is to represent the graph as the orbit of {104, 121}
under the group generated by the following permutations:
a: (2, 20)(3, 31)(4, 12)(5, 45)(6, 19)(8, 32)(9, 40)(10, 47)(13, 21)(14, 52)(15,
28)(16, 34)(17, 53)(18, 24)(22, 26)(23, 49)(25, 56)(27, 41)(29, 39)(30, 51)(33,
38)(36, 46)(37, 44)(43, 59)(48, 57)(50, 55)(61, 118)(62, 110)(63, 97)(64,
119)(65, 85)(66, 111)(67, 114)(68, 96)(69, 75)(70, 98)(71, 120)(72, 103)(73,
108)(74, 84)(76, 86)(77, 87)(78, 112)(79, 90)(80, 115)(81, 117)(82, 94)(83,
99)(88, 100)(89, 109)(91, 104)(92, 106)(93, 107)(95, 102)(101, 113)(105,
116)(121, 142)(122, 230)(123, 181)(124, 169)(125, 225)(126, 208)(127, 177)(128,
136)(129, 203)(130, 187)(131, 188)(132, 204)(133, 154)(134, 147)(135, 179)(137,
175)(138, 151)(139, 163)(140, 174)(141, 228)(143, 149)(144, 196)(145, 164)(146,
173)(148, 192)(150, 156)(152, 232)(153, 191)(155, 195)(157, 171)(158, 186)(159,
205)(160, 218)(161, 190)(162, 184)(165, 224)(166, 220)(167, 201)(168, 222)(170,
233)(172, 236)(176, 231)(178, 180)(182, 234)(183, 239)(185, 235)(189, 240)(193,
237)(194, 198)(197, 216)(199, 223)(200, 219)(202, 209)(206, 212)(207, 213)(210,
221)(211, 217)(214, 226)(215, 238)(227, 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, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11,
71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21,
81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31,
91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41,
101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50,
110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59,
119)(60, 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)
c: (1, 2, 4, 9, 17, 35, 49, 52, 19, 31)(3, 5, 7, 22, 29, 53, 47, 60, 36, 50)(6,
13, 12, 46, 33, 40, 48, 14, 26, 25)(8, 10, 15, 21, 18, 34, 45, 30, 57, 59)(11,
32, 20, 44, 56, 54, 16, 23, 27, 38)(24, 51, 37, 58, 55, 43, 28, 41, 42, 39)(61,
115, 64, 88, 77, 102, 109, 84, 79, 97)(62, 103, 69, 101, 95, 99, 112, 111, 91,
118)(63, 116, 67, 76, 89, 87, 107, 71, 96, 80)(65, 114, 82, 83, 113, 98, 120,
92, 110, 104)(66, 117, 72, 68, 93, 75, 108, 78, 86, 105)(70, 100, 81, 74, 94,
85, 90, 73, 119, 106)(121, 239, 178, 129, 206, 207, 183, 145, 124, 219)(122,
162, 177, 132, 205, 226, 184, 139, 123, 223)(125, 195, 152, 167, 164, 229, 133,
138, 215, 180)(126, 150, 151, 209, 163, 141, 134, 232, 216, 127)(128, 213, 149,
175, 210, 174, 142, 192, 231, 194)(130, 217, 208, 189, 146, 233, 220, 228, 240,
135)(131, 218, 225, 190, 140, 234, 224, 227, 161, 136)(137, 193, 179, 214, 196,
176, 168, 173, 230, 191)(143, 160, 157, 170, 202, 148, 165, 172, 187, 197)(144,
211, 158, 182, 201, 153, 166, 185, 188, 238)(147, 199, 171, 203, 198, 156, 159,
236, 169, 221)(154, 200, 186, 204, 237, 155, 212, 235, 181, 222)
d: (2, 31, 3, 20)(4, 32, 6, 45)(5, 19, 8, 12)(7, 13, 11, 21)(9, 34, 14, 47)(10,
52, 16, 40)(15, 33, 24, 22)(17, 53, 23, 49)(18, 38, 28, 26)(25, 43, 36, 30)(27,
29, 39, 41)(37, 44, 50, 55)(46, 59, 56, 51)(48, 54, 57, 60)(62, 91, 63, 80)(64,
92, 66, 105)(65, 79, 68, 72)(67, 73, 71, 81)(69, 94, 74, 107)(70, 112, 76,
100)(75, 93, 84, 82)(77, 113, 83, 109)(78, 98, 88, 86)(85, 103, 96, 90)(87, 89,
99, 101)(97, 104, 110, 115)(106, 119, 116, 111)(108, 114, 117, 120)(121, 219,
163, 181)(122, 220, 164, 182)(123, 139, 200, 142)(124, 140, 199, 141)(125, 130,
135, 160)(126, 129, 136, 159)(127, 204, 207, 206)(128, 203, 208, 205)(131, 178,
211, 214)(132, 177, 212, 213)(133, 148, 222, 209)(134, 147, 221, 210)(137, 152,
232, 175)(138, 151, 231, 176)(143, 237, 216, 195)(144, 238, 215, 196)(145, 166,
230, 234)(146, 165, 229, 233)(149, 155, 197, 193)(150, 156, 198, 194)(153, 201,
167, 191)(154, 202, 168, 192)(157, 240, 236, 161)(158, 239, 235, 162)(169, 228,
223, 174)(170, 227, 224, 173)(171, 190, 172, 189)(179, 187, 225, 218)(180, 188,
226, 217)(183, 186, 184, 185)
C4[ 240, 162 ]
240
-1 210 221 134 147
-2 199 232 147 174
-3 210 124 137 228
-4 199 171 216 142
-5 193 174 240 219
-6 143 124 139 172
-7 121 135 179 142
-8 155 181 161 228
-9 192 203 127 171
-10 222 212 136 240
-11 125 225 139 163
-12 121 157 223 197
-13 187 123 160 219
-14 202 172 205 207
-15 154 135 235 131
-16 132 133 126 161
-17 198 231 126 203
-18 222 225 217 186
-19 169 236 149 163
-20 134 223 140 152
-21 200 181 130 218
-22 192 214 239 130
-23 136 138 150 205
-24 211 168 125 158
-25 165 145 184 197
-26 187 148 226 183
-27 215 226 151 131
-28 133 188 179 185
-29 231 178 217 196
-30 155 146 234 186
-31 221 169 141 175
-32 123 190 195 141
-33 178 202 160 162
-34 154 190 204 208
-35 198 156 150 194
-36 233 149 183 230
-37 201 182 152 230
-38 209 180 184 218
-39 176 144 211 180
-40 177 157 148 129
-41 188 214 138 238
-42 144 215 238 196
-43 166 193 185 229
-44 122 232 167 234
-45 189 200 237 140
-46 143 122 170 239
-47 189 168 128 206
-48 132 165 170 206
-49 156 159 128 151
-50 220 145 191 175
-51 158 182 173 195
-52 209 213 159 236
-53 176 194 129 208
-54 177 127 227 229
-55 166 137 153 164
-56 224 216 162 164
-57 233 212 224 204
-58 167 201 191 153
-59 220 235 237 227
-60 146 213 173 207
-61 209 133 222 148
-62 231 200 148 173
-63 209 123 138 227
-64 200 215 172 141
-65 220 194 173 239
-66 144 123 171 140
-67 122 136 180 141
-68 156 182 227 162
-69 191 204 128 172
-70 221 211 135 239
-71 126 226 140 164
-72 198 122 158 224
-73 220 188 124 159
-74 201 171 206 208
-75 132 136 236 153
-76 134 125 162 131
-77 232 125 204 197
-78 221 226 185 218
-79 235 170 150 164
-80 133 224 139 151
-81 199 182 129 217
-82 191 213 129 240
-83 135 137 149 206
-84 167 157 212 126
-85 198 166 146 183
-86 188 147 225 184
-87 132 225 216 152
-88 187 134 180 186
-89 177 232 195 218
-90 145 156 233 185
-91 176 222 170 142
-92 189 124 196 142
-93 177 201 159 161
-94 189 203 207 153
-95 155 149 193 197
-96 234 150 184 229
-97 202 181 151 229
-98 210 179 183 217
-99 143 179 212 175
-100 178 147 158 130
-101 187 213 137 237
-102 143 237 216 195
-103 165 194 186 230
-104 121 231 233 168
-105 199 190 139 238
-106 121 144 169 240
-107 167 190 127 205
-108 166 169 205 131
-109 155 127 160 152
-110 176 146 192 219
-111 157 181 174 196
-112 210 235 214 160
-113 193 130 207 175
-114 178 128 228 230
-115 154 165 138 163
-116 223 215 161 163
-117 211 223 234 203
-118 154 168 202 192
-119 236 238 228 219
-120 145 214 174 208
-121 12 104 7 106
-122 44 67 46 72
-123 66 13 63 32
-124 3 92 6 73
-125 11 77 24 76
-126 16 71 17 84
-127 107 9 54 109
-128 47 69 114 49
-129 81 82 40 53
-130 22 100 113 21
-131 15 27 108 76
-132 48 16 75 87
-133 80 16 28 61
-134 88 1 20 76
-135 15 70 83 7
-136 23 67 75 10
-137 55 101 3 83
-138 23 115 41 63
-139 11 80 6 105
-140 66 45 71 20
-141 67 31 64 32
-142 91 4 92 7
-143 99 46 102 6
-144 66 39 106 42
-145 90 25 50 120
-146 110 60 30 85
-147 1 100 2 86
-148 26 61 40 62
-149 36 83 95 19
-150 23 35 79 96
-151 80 27 49 97
-152 37 20 87 109
-153 55 58 94 75
-154 34 15 115 118
-155 95 8 30 109
-156 35 68 90 49
-157 12 111 40 84
-158 100 24 72 51
-159 49 93 73 52
-160 33 13 112 109
-161 16 93 116 8
-162 33 56 68 76
-163 11 115 116 19
-164 55 56 79 71
-165 25 48 103 115
-166 55 85 108 43
-167 44 58 84 107
-168 24 47 104 118
-169 106 19 31 108
-170 46 79 91 48
-171 66 4 74 9
-172 14 69 6 64
-173 60 51 62 65
-174 111 2 5 120
-175 99 113 50 31
-176 110 91 39 53
-177 89 93 40 54
-178 33 100 114 29
-179 99 28 7 98
-180 88 67 38 39
-181 111 8 97 21
-182 68 37 81 51
-183 36 26 85 98
-184 25 38 96 86
-185 78 90 28 43
-186 88 103 18 30
-187 88 13 101 26
-188 28 73 41 86
-189 45 47 92 94
-190 34 105 107 32
-191 58 69 82 50
-192 22 110 118 9
-193 113 5 95 43
-194 35 103 53 65
-195 89 102 51 32
-196 111 92 29 42
-197 77 12 25 95
-198 35 17 72 85
-199 2 4 81 105
-200 45 62 64 21
-201 58 37 93 74
-202 33 14 118 97
-203 17 94 117 9
-204 77 34 57 69
-205 23 14 107 108
-206 47 48 83 74
-207 14 113 60 94
-208 34 74 53 120
-209 38 61 52 63
-210 1 112 3 98
-211 24 70 39 117
-212 99 57 84 10
-213 101 60 82 52
-214 22 112 41 120
-215 27 116 42 64
-216 56 102 4 87
-217 81 18 29 98
-218 78 89 38 21
-219 110 13 5 119
-220 59 50 73 65
-221 1 78 70 31
-222 91 61 18 10
-223 12 116 117 20
-224 56 57 80 72
-225 11 18 86 87
-226 78 26 27 71
-227 68 59 63 54
-228 3 114 8 119
-229 96 97 43 54
-230 36 37 103 114
-231 104 17 29 62
-232 44 77 89 2
-233 57 90 36 104
-234 44 117 30 96
-235 79 112 15 59
-236 19 52 75 119
-237 45 101 102 59
-238 105 41 42 119
-239 22 46 70 65
-240 5 82 106 10
0