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