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