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