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