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