Graph forms
for C4 [ 240, 173 ] = BGCG(UG(ATD[120,53]);K1;6)
[Home] [Table] [Glossary]
[Families]
On this page are computer-accessible forms for the graph C4[ 240, 173 ] =
BGCG(UG(ATD[120,53]);K1;6).
(I) Following is a form readable by MAGMA:
g:=Graph<240|{ {117, 121}, {109, 124}, {105, 124}, {96, 126}, {88, 127}, {83,
122}, {81, 125}, {85, 121}, {80, 126}, {79, 123}, {66, 125}, {63, 127}, {63,
126}, {61, 123}, {58, 125}, {55, 126}, {48, 127}, {41, 125}, {33, 124}, {38,
123}, {27, 123}, {27, 122}, {29, 124}, {9, 121}, {11, 127}, {15, 122}, {4, 121},
{7, 122}, {4, 132}, {73, 201}, {24, 152}, {43, 171}, {18, 147}, {24, 153}, {27,
153}, {36, 166}, {12, 143}, {75, 200}, {18, 145}, {51, 176}, {87, 212}, {102,
229}, {108, 239}, {51, 183}, {64, 196}, {53, 177}, {52, 177}, {75, 206}, {78,
203}, {99, 230}, {2, 132}, {34, 164}, {39, 161}, {46, 168}, {107, 237}, {108,
234}, {1, 134}, {6, 129}, {25, 158}, {89, 222}, {13, 133}, {58, 178}, {54, 190},
{84, 220}, {26, 147}, {64, 201}, {31, 150}, {103, 238}, {16, 154}, {33, 171},
{85, 223}, {95, 213}, {106, 224}, {110, 228}, {13, 134}, {62, 181}, {49, 186},
{103, 236}, {71, 203}, {74, 198}, {78, 194}, {79, 195}, {90, 214}, {16, 157},
{40, 166}, {4, 139}, {64, 207}, {14, 129}, {37, 170}, {45, 162}, {94, 209},
{102, 233}, {26, 138}, {89, 201}, {1, 144}, {76, 221}, {72, 217}, {69, 212},
{57, 168}, {55, 166}, {32, 177}, {92, 205}, {39, 181}, {59, 169}, {56, 170}, {3,
144}, {20, 135}, {34, 177}, {70, 210}, {85, 193}, {100, 240}, {37, 176}, {117,
224}, {75, 222}, {71, 210}, {83, 198}, {20, 130}, {115, 229}, {24, 143}, {14,
150}, {66, 218}, {88, 192}, {21, 140}, {79, 213}, {80, 202}, {10, 145}, {58,
161}, {23, 140}, {78, 213}, {67, 223}, {50, 175}, {88, 197}, {63, 161}, {115,
237}, {70, 217}, {5, 165}, {71, 231}, {22, 182}, {42, 138}, {101, 197}, {60,
157}, {61, 156}, {98, 195}, {110, 207}, {113, 208}, {55, 149}, {117, 215}, {104,
202}, {36, 135}, {97, 194}, {9, 173}, {31, 187}, {45, 137}, {49, 149}, {84,
240}, {97, 197}, {19, 182}, {118, 211}, {70, 227}, {50, 151}, {74, 236}, {106,
204}, {2, 165}, {76, 235}, {69, 226}, {40, 143}, {114, 213}, {4, 172}, {8, 160},
{31, 183}, {53, 157}, {3, 170}, {120, 209}, {22, 191}, {28, 181}, {37, 140},
{41, 128}, {114, 219}, {38, 140}, {119, 221}, {49, 155}, {104, 194}, {107, 193},
{7, 172}, {120, 211}, {67, 232}, {10, 161}, {32, 139}, {107, 192}, {111, 196},
{6, 170}, {59, 151}, {38, 138}, {110, 194}, {26, 183}, {54, 155}, {38, 139},
{98, 207}, {21, 187}, {17, 190}, {120, 215}, {119, 216}, {69, 234}, {56, 151},
{51, 156}, {104, 199}, {12, 188}, {16, 160}, {24, 168}, {30, 174}, {47, 159},
{100, 212}, {47, 158}, {59, 138}, {57, 136}, {87, 230}, {101, 212}, {57, 139},
{118, 196}, {60, 142}, {91, 233}, {9, 186}, {16, 163}, {47, 156}, {91, 232},
{32, 148}, {60, 136}, {57, 141}, {44, 152}, {113, 197}, {10, 191}, {11, 190},
{23, 162}, {42, 159}, {109, 216}, {17, 167}, {54, 128}, {18, 164}, {36, 146},
{106, 220}, {51, 132}, {62, 137}, {52, 131}, {1, 185}, {119, 207}, {15, 183},
{21, 173}, {27, 163}, {28, 164}, {35, 155}, {44, 148}, {97, 217}, {81, 232},
{116, 205}, {86, 239}, {94, 231}, {111, 214}, {29, 167}, {56, 130}, {39, 157},
{2, 185}, {7, 188}, {33, 154}, {34, 153}, {46, 149}, {19, 174}, {77, 240}, {90,
228}, {116, 202}, {93, 227}, {25, 166}, {119, 200}, {39, 152}, {34, 226}, {115,
179}, {17, 208}, {42, 232}, {67, 129}, {108, 174}, {70, 133}, {93, 158}, {113,
178}, {8, 204}, {77, 137}, {10, 206}, {105, 173}, {32, 229}, {72, 141}, {71,
130}, {46, 235}, {44, 234}, {20, 211}, {68, 131}, {22, 209}, {41, 238}, {18,
218}, {19, 219}, {23, 223}, {41, 225}, {109, 165}, {31, 214}, {65, 136}, {20,
222}, {58, 240}, {22, 220}, {99, 169}, {5, 206}, {76, 135}, {95, 148}, {28,
208}, {45, 225}, {94, 146}, {107, 167}, {13, 192}, {23, 218}, {111, 162}, {33,
239}, {116, 186}, {74, 132}, {84, 154}, {94, 144}, {45, 226}, {74, 133}, {86,
153}, {89, 150}, {104, 167}, {8, 216}, {15, 223}, {80, 128}, {11, 218}, {116,
165}, {75, 154}, {62, 239}, {82, 131}, {95, 142}, {99, 178}, {5, 215}, {64,
146}, {25, 203}, {102, 180}, {111, 189}, {14, 221}, {120, 171}, {72, 155}, {30,
205}, {106, 185}, {112, 163}, {113, 162}, {61, 233}, {66, 150}, {3, 214}, {66,
151}, {60, 233}, {80, 133}, {30, 200}, {86, 142}, {118, 174}, {96, 184}, {99,
187}, {25, 192}, {97, 184}, {13, 215}, {73, 147}, {92, 134}, {114, 168}, {3,
216}, {8, 211}, {83, 136}, {109, 182}, {68, 152}, {49, 236}, {63, 226}, {90,
135}, {96, 189}, {48, 238}, {53, 235}, {1, 222}, {82, 141}, {103, 184}, {6,
230}, {91, 187}, {98, 130}, {114, 146}, {81, 176}, {112, 145}, {48, 210}, {87,
181}, {88, 186}, {50, 209}, {56, 219}, {92, 191}, {95, 188}, {35, 199}, {93,
185}, {112, 148}, {47, 202}, {69, 160}, {101, 128}, {43, 205}, {73, 175}, {82,
180}, {6, 225}, {55, 208}, {100, 131}, {12, 228}, {68, 172}, {65, 169}, {14,
231}, {86, 191}, {102, 143}, {9, 227}, {117, 159}, {15, 229}, {43, 193}, {87,
189}, {100, 142}, {12, 231}, {40, 195}, {7, 235}, {115, 159}, {67, 175}, {37,
201}, {42, 198}, {81, 189}, {11, 230}, {43, 198}, {2, 237}, {5, 234}, {40, 199},
{89, 182}, {98, 141}, {105, 134}, {44, 220}, {84, 164}, {29, 236}, {65, 176},
{82, 163}, {17, 227}, {65, 179}, {62, 204}, {28, 238}, {77, 190}, {96, 147},
{72, 188}, {101, 145}, {77, 184}, {90, 175}, {105, 156}, {53, 195}, {93, 171},
{19, 228}, {118, 129}, {68, 179}, {48, 199}, {91, 172}, {21, 237}, {76, 180},
{35, 219}, {52, 204}, {103, 158}, {112, 137}, {50, 200}, {78, 180}, {52, 206},
{26, 225}, {73, 178}, {110, 149}, {46, 210}, {61, 193}, {79, 179}, {85, 169},
{92, 160}, {108, 144}, {29, 224}, {54, 203}, {36, 217}, {30, 224}, {35, 221},
{83, 173}, {59, 196} }>;
(II) A more general form is to represent the graph as the orbit of {117, 121}
under the group generated by the following permutations:
a: (2, 3, 105, 89)(4, 6, 83, 66)(5, 8, 33, 22)(7, 41, 57, 11)(9, 14, 74, 56)(10,
52, 62, 86)(12, 80, 98, 17)(13, 20, 93, 94)(15, 81, 38, 99)(16, 84, 44, 69)(18,
68, 45, 60)(19, 116, 119, 29)(21, 31, 51, 37)(23, 91, 26, 65)(24, 63, 53,
28)(25, 36)(27, 58, 32, 87)(34, 39)(35, 49)(40, 55)(42, 59, 85, 67)(43, 50, 117,
118)(46, 48)(47, 64, 107, 90)(54, 72)(61, 73, 115, 111)(70, 71)(75, 106, 108,
92)(76, 103, 114, 88)(77, 95, 101, 82)(78, 97)(79, 113, 102, 96)(100, 112)(104,
110)(121, 129, 198, 151)(122, 125, 139, 230)(123, 178, 229, 189)(124, 182, 165,
216)(126, 195, 208, 143)(127, 235, 238, 168)(128, 141, 190, 188)(130, 227, 231,
133)(131, 137, 142, 145)(132, 170, 173, 150)(134, 222, 185, 144)(135, 158, 146,
192)(136, 218, 172, 225)(138, 169, 223, 232)(140, 187, 183, 176)(147, 179, 162,
233)(148, 212, 163, 240)(149, 199)(152, 226, 157, 164)(153, 161, 177, 181)(154,
220, 234, 160)(156, 201, 237, 214)(159, 196, 193, 175)(167, 228, 202, 207)(171,
209, 215, 211)(174, 205, 200, 224)(180, 184, 213, 197)(186, 221, 236, 219)(191,
206, 204, 239)(203, 217) (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: (6, 111)(7, 57)(11, 113)(12, 114)(14, 64)(15, 65)(18, 58)(23, 99)(24, 95)(26,
81)(27, 60)(28, 77)(31, 37)(32, 68)(34, 100)(35, 110)(36, 71)(38, 91)(39,
112)(40, 78)(41, 96)(45, 87)(46, 72)(48, 97)(53, 82)(54, 55)(56, 90)(59, 67)(63,
101)(66, 73)(76, 98)(79, 102)(122, 136)(123, 233)(125, 147)(126, 128)(127,
197)(129, 196)(130, 135)(131, 177)(137, 181)(138, 232)(139, 172)(140, 187)(141,
235)(142, 153)(143, 213)(145, 161)(146, 231)(148, 152)(149, 155)(150, 201)(151,
175)(157, 163)(162, 230)(164, 240)(166, 203)(168, 188)(169, 223)(170, 214)(176,
183)(178, 218)(179, 229)(180, 195)(184, 238)(189, 225)(190, 208)(194, 199)(207,
221)(210, 217)(212, 226)(219, 228)
c: (2, 93)(3, 20)(4, 17, 115, 103)(5, 33)(6, 98)(7, 113, 102, 96)(9, 107, 47,
74)(10, 86)(11, 79, 41, 57)(12, 73)(13, 105)(14, 64)(15, 97, 91, 55)(16, 69)(18,
95, 58, 24)(19, 50)(21, 25, 51, 70)(23, 78, 81, 46)(26, 72, 99, 40)(27, 101, 60,
63)(28, 32, 77, 68)(29, 117)(31, 36)(34, 112, 100, 39)(35, 59)(37, 71)(38, 54,
65, 48)(42, 49, 85, 104)(43, 116)(44, 84)(45, 82, 87, 53)(52, 62)(61, 80, 83,
88)(66, 114)(67, 110)(75, 108)(76, 111)(89, 94)(109, 120)(118, 119)(121, 167,
159, 236)(122, 197, 233, 126)(123, 128, 136, 127)(124, 215)(125, 168, 218,
213)(129, 207)(130, 170)(131, 181, 177, 137)(132, 227, 237, 158)(133, 173, 192,
156)(135, 214)(138, 155, 169, 199)(139, 190, 179, 238)(140, 203, 176, 210)(141,
230, 195, 225)(142, 161, 153, 145)(143, 147, 188, 178)(144, 222)(146, 150)(148,
240, 152, 164)(149, 223, 194, 232)(151, 219)(154, 234)(157, 226, 163, 212)(162,
180, 189, 235)(165, 171)(166, 183, 217, 187)(172, 208, 229, 184)(174, 200)(175,
228)(182, 209)(186, 193, 202, 198)(196, 221)(201, 231)(206, 239)(211, 216)
d: (1, 2, 4, 7, 12, 94)(3, 106, 74, 91, 95, 71)(5, 9, 15, 24, 36, 89)(6, 62,
103, 81, 100, 54)(8, 29, 42, 60, 78, 56)(10, 88, 23, 34, 55, 73)(11, 45, 28, 96,
58, 101)(13, 21, 32, 46, 90, 22)(14, 108, 93, 51, 68, 72)(16, 104, 59)(17, 26,
39, 97, 66, 69)(18, 63, 113)(19, 120, 105, 115, 57, 76)(20, 109, 117, 83, 102,
114)(25, 37, 52, 49, 67, 86)(27, 40, 64, 75, 116, 85)(30, 43, 61, 79, 98,
119)(31, 44, 70)(33, 47, 65, 82, 35, 118)(38, 53, 110, 50, 92, 107)(41, 87,
77)(48, 111, 84, 80, 99, 112)(121, 122, 143, 146, 222, 165)(123, 195, 207, 200,
205, 193)(124, 159, 136, 180, 219, 211)(125, 212, 190, 225, 181, 184)(126, 178,
145, 127, 162, 164)(128, 230, 137, 238, 189, 240)(129, 239, 158, 176, 131,
155)(130, 216, 224, 198, 233, 213)(132, 172, 188, 231, 144, 185)(133, 187, 148,
210, 214, 220)(134, 237, 139, 235, 228, 209)(135, 182, 215, 173, 229, 168)(138,
157, 194, 151, 160, 167)(140, 177, 149, 175, 191, 192)(141, 221, 174, 171, 156,
179)(142, 203, 170, 204, 236, 232)(147, 161, 197, 218, 226, 208)(150, 234, 227,
183, 152, 217)(153, 166, 201, 206, 186, 223)(154, 202, 169, 163, 199, 196)
e: (3, 89)(6, 66)(7, 57)(8, 22)(10, 69)(12, 98)(14, 56)(15, 65)(16, 86)(18,
87)(19, 119)(20, 94)(23, 99)(24, 53)(26, 81)(27, 60)(31, 37)(32, 68)(34, 39)(38,
91)(44, 52)(45, 58)(50, 118)(59, 67)(62, 84)(64, 90)(73, 111)(75, 108)(76,
114)(79, 102)(82, 95)(100, 112)(122, 136)(123, 233)(125, 225)(129, 151)(130,
231)(131, 148)(135, 146)(137, 240)(138, 232)(139, 172)(140, 187)(141, 188)(142,
163)(143, 195)(144, 222)(145, 212)(147, 189)(150, 170)(152, 177)(153, 157)(154,
239)(160, 191)(161, 226)(162, 178)(164, 181)(168, 235)(169, 223)(174, 200)(175,
196)(176, 183)(179, 229)(180, 213)(182, 216)(201, 214)(204, 220)(206, 234)(207,
228)(209, 211)(218, 230)(219, 221)
C4[ 240, 173 ]
240
-1 144 134 222 185
-2 132 165 237 185
-3 144 170 214 216
-4 121 132 139 172
-5 165 234 215 206
-6 170 225 129 230
-7 122 188 235 172
-8 211 160 204 216
-9 121 227 173 186
-10 145 191 161 206
-11 190 127 218 230
-12 143 231 188 228
-13 133 134 192 215
-14 231 221 150 129
-15 122 223 183 229
-16 154 157 160 163
-17 167 190 227 208
-18 145 147 218 164
-19 182 228 174 219
-20 211 222 135 130
-21 187 237 140 173
-22 209 220 191 182
-23 223 140 162 218
-24 143 168 152 153
-25 166 158 192 203
-26 147 225 138 183
-27 122 123 163 153
-28 181 238 164 208
-29 167 124 224 236
-30 200 224 205 174
-31 187 214 150 183
-32 177 148 139 229
-33 154 124 171 239
-34 177 226 153 164
-35 155 199 221 219
-36 166 135 146 217
-37 176 201 170 140
-38 123 138 139 140
-39 157 181 161 152
-40 143 166 199 195
-41 125 225 128 238
-42 198 232 159 138
-43 198 171 193 205
-44 220 234 148 152
-45 137 225 226 162
-46 210 168 235 149
-47 156 158 202 159
-48 199 210 127 238
-49 155 236 149 186
-50 209 200 151 175
-51 132 176 156 183
-52 177 204 206 131
-53 177 157 235 195
-54 155 190 203 128
-55 166 126 149 208
-56 170 151 130 219
-57 168 136 139 141
-58 178 125 161 240
-59 169 138 151 196
-60 233 157 136 142
-61 123 156 233 193
-62 137 181 204 239
-63 126 127 226 161
-64 146 201 196 207
-65 176 179 136 169
-66 125 150 151 218
-67 232 223 129 175
-68 179 172 152 131
-69 212 234 160 226
-70 133 210 227 217
-71 231 210 203 130
-72 155 188 217 141
-73 178 201 147 175
-74 132 198 133 236
-75 154 200 222 206
-76 221 135 180 235
-77 190 137 184 240
-78 180 213 203 194
-79 123 179 213 195
-80 133 202 126 128
-81 176 232 189 125
-82 180 141 163 131
-83 198 122 136 173
-84 154 220 240 164
-85 121 223 169 193
-86 191 239 142 153
-87 189 212 181 230
-88 192 127 186 197
-89 222 201 182 150
-90 135 214 228 175
-91 187 232 233 172
-92 134 191 160 205
-93 158 171 227 185
-94 209 231 144 146
-95 188 213 148 142
-96 189 147 126 184
-97 194 184 217 197
-98 195 130 141 207
-99 187 178 169 230
-100 212 240 131 142
-101 145 212 128 197
-102 143 233 180 229
-103 158 236 238 184
-104 199 167 202 194
-105 134 156 124 173
-106 220 224 204 185
-107 167 192 193 237
-108 144 234 239 174
-109 165 124 182 216
-110 149 194 228 207
-111 189 214 162 196
-112 145 137 148 163
-113 178 162 197 208
-114 146 168 213 219
-115 179 159 237 229
-116 165 202 205 186
-117 121 224 159 215
-118 211 129 174 196
-119 221 200 216 207
-120 209 211 171 215
-121 4 117 85 9
-122 15 27 83 7
-123 79 27 38 61
-124 33 105 29 109
-125 66 58 81 41
-126 55 80 63 96
-127 11 88 48 63
-128 101 80 41 54
-129 67 14 6 118
-130 56 71 20 98
-131 100 68 82 52
-132 2 4 51 74
-133 13 80 70 74
-134 1 13 92 105
-135 90 36 20 76
-136 57 60 83 65
-137 77 45 112 62
-138 26 59 38 42
-139 57 4 38 32
-140 23 37 38 21
-141 57 82 72 98
-142 100 60 95 86
-143 12 24 102 40
-144 1 3 94 108
-145 101 112 18 10
-146 36 114 94 64
-147 26 18 73 96
-148 44 112 95 32
-149 55 110 46 49
-150 66 89 14 31
-151 66 56 59 50
-152 44 24 68 39
-153 34 24 27 86
-154 33 16 84 75
-155 35 49 72 54
-156 47 61 105 51
-157 16 60 39 53
-158 25 47 103 93
-159 47 115 117 42
-160 69 92 16 8
-161 58 39 63 10
-162 23 45 111 113
-163 112 16 27 82
-164 34 28 18 84
-165 2 5 116 109
-166 55 25 36 40
-167 104 17 29 107
-168 24 46 57 114
-169 99 59 85 65
-170 56 3 37 6
-171 33 93 43 120
-172 68 91 4 7
-173 83 105 9 21
-174 19 30 118 108
-175 67 90 50 73
-176 37 81 51 65
-177 34 52 53 32
-178 99 58 113 73
-179 68 79 115 65
-180 78 102 82 76
-181 28 39 62 87
-182 22 89 19 109
-183 15 26 51 31
-184 77 103 96 97
-185 1 2 93 106
-186 88 49 116 9
-187 99 91 31 21
-188 12 72 7 95
-189 111 81 96 87
-190 11 77 17 54
-191 22 92 86 10
-192 88 13 25 107
-193 61 85 107 43
-194 110 78 104 97
-195 79 40 53 98
-196 111 59 118 64
-197 88 101 113 97
-198 83 74 42 43
-199 35 48 104 40
-200 50 30 75 119
-201 89 37 73 64
-202 47 80 104 116
-203 78 25 71 54
-204 62 106 8 52
-205 92 116 30 43
-206 5 52 75 10
-207 110 64 119 98
-208 55 113 17 28
-209 22 50 94 120
-210 46 48 70 71
-211 8 118 20 120
-212 100 101 69 87
-213 78 79 114 95
-214 111 90 3 31
-215 13 5 117 120
-216 3 8 119 109
-217 36 70 72 97
-218 11 66 23 18
-219 56 35 114 19
-220 22 44 84 106
-221 35 14 119 76
-222 1 89 20 75
-223 23 67 15 85
-224 29 106 117 30
-225 45 26 6 41
-226 34 45 69 63
-227 70 93 17 9
-228 110 12 90 19
-229 102 15 115 32
-230 11 99 6 87
-231 12 14 71 94
-232 67 91 81 42
-233 91 102 60 61
-234 44 69 5 108
-235 46 7 53 76
-236 103 49 29 74
-237 2 115 107 21
-238 48 103 28 41
-239 33 62 86 108
-240 77 100 58 84
0