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