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