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