Graph forms
for C4 [ 252, 33 ] = UG(ATD[252,61])
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On this page are computer-accessible forms for the graph C4[ 252, 33 ] =
UG(ATD[252,61]).
(I) Following is a form readable by MAGMA:
g:=Graph<252|{ {224, 225}, {140, 143}, {83, 86}, {195, 198}, {52, 62}, {160,
170}, {81, 93}, {193, 205}, {16, 30}, {137, 153}, {109, 124}, {132, 151}, {77,
89}, {167, 179}, {166, 178}, {99, 119}, {168, 190}, {130, 149}, {111, 118}, {37,
63}, {64, 91}, {1, 29}, {131, 158}, {76, 108}, {196, 228}, {12, 45}, {214, 247},
{84, 117}, {73, 104}, {134, 167}, {28, 62}, {30, 60}, {88, 122}, {128, 162},
{139, 169}, {93, 126}, {146, 177}, {3, 39}, {213, 241}, {203, 239}, {155, 191},
{71, 99}, {15, 43}, {19, 54}, {149, 176}, {95, 121}, {205, 235}, {141, 171}, {4,
44}, {135, 175}, {147, 186}, {221, 244}, {208, 249}, {206, 228}, {13, 38}, {16,
60}, {217, 245}, {153, 181}, {14, 35}, {200, 229}, {79, 98}, {89, 116}, {136,
166}, {65, 110}, {81, 126}, {133, 170}, {11, 59}, {24, 40}, {67, 114}, {202,
251}, {132, 182}, {23, 36}, {67, 112}, {194, 247}, {25, 47}, {223, 232}, {1,
57}, {218, 227}, {142, 180}, {10, 49}, {210, 233}, {137, 181}, {6, 56}, {76,
115}, {28, 92}, {7, 70}, {32, 97}, {19, 81}, {129, 194}, {187, 248}, {160, 227},
{159, 220}, {24, 94}, {150, 208}, {44, 106}, {8, 79}, {148, 211}, {141, 202},
{15, 71}, {52, 124}, {46, 103}, {185, 240}, {170, 227}, {157, 212}, {155, 210},
{47, 102}, {128, 201}, {142, 199}, {2, 72}, {60, 118}, {51, 120}, {165, 238},
{31, 83}, {36, 104}, {27, 86}, {168, 229}, {156, 209}, {147, 221}, {189, 243},
{10, 69}, {169, 230}, {26, 75}, {135, 213}, {179, 225}, {164, 246}, {151, 197},
{35, 112}, {179, 224}, {60, 111}, {41, 122}, {136, 219}, {145, 194}, {1, 85},
{43, 127}, {17, 68}, {184, 237}, {50, 100}, {175, 249}, {152, 206}, {21, 66},
{162, 245}, {7, 95}, {52, 109}, {183, 238}, {154, 195}, {53, 108}, {131, 216},
{12, 80}, {61, 97}, {6, 91}, {42, 119}, {44, 114}, {180, 234}, {178, 236}, {137,
214}, {176, 239}, {5, 101}, {188, 220}, {168, 200}, {59, 90}, {185, 216}, {171,
202}, {40, 74}, {55, 84}, {56, 91}, {31, 123}, {183, 211}, {164, 192}, {136,
237}, {2, 100}, {132, 226}, {145, 247}, {9, 110}, {54, 81}, {147, 244}, {27,
115}, {38, 78}, {17, 120}, {39, 77}, {153, 242}, {15, 99}, {169, 197}, {159,
243}, {156, 240}, {57, 85}, {48, 92}, {46, 66}, {29, 113}, {22, 122}, {13, 96},
{191, 210}, {36, 73}, {139, 230}, {140, 225}, {18, 124}, {148, 250}, {21, 123},
{41, 70}, {177, 222}, {158, 241}, {138, 229}, {41, 88}, {51, 65}, {14, 125},
{172, 223}, {189, 201}, {151, 226}, {4, 114}, {161, 215}, {50, 68}, {144, 230},
{176, 203}, {173, 209}, {20, 105}, {166, 219}, {26, 103}, {7, 121}, {39, 89},
{33, 95}, {14, 112}, {33, 161}, {37, 165}, {108, 236}, {58, 184}, {89, 218},
{107, 232}, {68, 192}, {23, 146}, {82, 215}, {98, 231}, {125, 248}, {25, 159},
{54, 176}, {100, 226}, {114, 244}, {8, 143}, {17, 150}, {10, 130}, {42, 163},
{63, 182}, {12, 134}, {75, 193}, {27, 144}, {90, 209}, {97, 234}, {1, 141}, {99,
239}, {20, 153}, {21, 152}, {113, 252}, {118, 251}, {6, 136}, {34, 172}, {9,
135}, {49, 190}, {117, 250}, {29, 141}, {86, 198}, {57, 169}, {96, 241}, {25,
138}, {15, 155}, {71, 211}, {52, 160}, {47, 187}, {44, 184}, {69, 208}, {83,
198}, {76, 217}, {28, 139}, {45, 186}, {121, 238}, {126, 233}, {4, 156}, {84,
204}, {59, 163}, {119, 239}, {127, 231}, {3, 154}, {87, 205}, {46, 181}, {103,
250}, {51, 173}, {80, 206}, {62, 160}, {109, 243}, {48, 175}, {65, 222}, {18,
178}, {32, 128}, {5, 164}, {127, 222}, {22, 180}, {31, 188}, {54, 149}, {38,
133}, {100, 199}, {106, 206}, {47, 138}, {83, 246}, {64, 229}, {105, 204}, {9,
175}, {70, 224}, {23, 177}, {90, 252}, {55, 144}, {61, 154}, {58, 157}, {101,
194}, {11, 163}, {79, 231}, {88, 240}, {40, 129}, {66, 232}, {82, 248}, {101,
207}, {115, 217}, {94, 245}, {124, 215}, {9, 165}, {126, 210}, {30, 179}, {48,
157}, {34, 143}, {2, 172}, {34, 140}, {116, 218}, {122, 212}, {56, 151}, {68,
235}, {43, 155}, {110, 222}, {8, 185}, {113, 195}, {65, 242}, {10, 190}, {85,
225}, {80, 228}, {107, 223}, {116, 192}, {11, 189}, {53, 131}, {24, 174}, {12,
186}, {102, 208}, {35, 148}, {67, 244}, {113, 198}, {115, 196}, {41, 145}, {30,
167}, {74, 243}, {61, 135}, {125, 199}, {13, 182}, {63, 132}, {69, 249}, {87,
235}, {103, 219}, {118, 202}, {78, 240}, {98, 220}, {104, 214}, {3, 195}, {79,
143}, {51, 242}, {92, 157}, {11, 201}, {22, 212}, {105, 170}, {49, 245}, {13,
200}, {33, 228}, {25, 220}, {24, 221}, {19, 214}, {18, 215}, {86, 144}, {59,
252}, {73, 142}, {69, 130}, {111, 168}, {123, 188}, {72, 128}, {75, 131}, {48,
249}, {5, 207}, {64, 138}, {32, 234}, {16, 218}, {37, 238}, {78, 133}, {74,
129}, {110, 165}, {43, 231}, {39, 233}, {93, 147}, {121, 183}, {127, 177}, {8,
216}, {109, 189}, {116, 164}, {55, 230}, {87, 134}, {111, 190}, {78, 156}, {106,
184}, {119, 163}, {4, 209}, {75, 158}, {74, 159}, {120, 173}, {80, 134}, {96,
182}, {28, 203}, {70, 145}, {58, 237}, {92, 139}, {20, 204}, {53, 236}, {85,
140}, {26, 193}, {112, 171}, {117, 174}, {45, 241}, {102, 187}, {76, 146}, {98,
188}, {27, 196}, {36, 251}, {2, 226}, {26, 250}, {29, 252}, {88, 185}, {104,
137}, {117, 148}, {123, 152}, {19, 247}, {72, 172}, {91, 191}, {101, 129}, {33,
196}, {20, 242}, {7, 224}, {42, 205}, {93, 186}, {49, 217}, {67, 171}, {61,
213}, {31, 246}, {82, 187}, {32, 201}, {107, 130}, {3, 233}, {72, 162}, {37,
207}, {6, 237}, {77, 166}, {42, 193}, {23, 251}, {105, 133}, {53, 216}, {38,
200}, {58, 212}, {120, 150}, {35, 211}, {87, 167}, {71, 183}, {63, 207}, {94,
174}, {102, 150}, {50, 192}, {106, 152}, {5, 246}, {82, 161}, {16, 227}, {125,
142}, {40, 221}, {62, 203}, {50, 199}, {46, 219}, {14, 248}, {66, 181}, {90,
173}, {45, 213}, {17, 235}, {84, 174}, {55, 204}, {97, 154}, {22, 234}, {57,
197}, {94, 162}, {21, 232}, {73, 180}, {56, 197}, {34, 223}, {18, 236}, {95,
161}, {96, 158}, {107, 149}, {108, 146}, {64, 191}, {77, 178} }>;
(II) A more general form is to represent the graph as the orbit of {224, 225}
under the group generated by the following permutations:
a: (1, 2, 5, 3, 11, 24, 19, 15, 26, 20, 23, 8, 13, 16)(4, 10, 7, 6, 17, 27, 22,
25, 12, 28, 14, 21, 9, 18)(29, 72, 101, 233, 163, 174, 214, 43, 75, 105, 251,
143, 182, 218)(30, 57, 100, 246, 154, 189, 221, 54, 71, 103, 242, 146, 185,
200)(31, 61, 109, 244, 149, 183, 219, 51, 76, 88, 229, 167, 169, 199)(32, 74,
93, 239, 148, 181, 222, 53, 78, 111, 225, 151, 192, 198)(33, 58, 102, 228, 157,
187, 206, 48, 82, 106, 249, 161, 184, 208)(34, 63, 89, 252, 162, 194, 210, 42,
84, 104, 231, 158, 170, 202)(35, 66, 110, 236, 156, 190, 224, 56, 68, 86, 234,
159, 186, 203)(36, 79, 96, 227, 141, 172, 207, 39, 59, 94, 247, 155, 193,
204)(37, 77, 90, 245, 145, 191, 205, 55, 73, 98, 241, 160, 171, 223)(38, 60, 85,
226, 164, 195, 201, 40, 81, 99, 250, 153, 177, 216)(41, 64, 87, 230, 142, 188,
213, 52, 67, 107, 238, 166, 173, 217)(44, 69, 95, 237, 150, 196, 212, 47, 80,
92, 248, 152, 175, 215)(45, 62, 112, 232, 165, 178, 209, 49, 70, 91, 235, 144,
180, 220)(46, 65, 108, 240, 168, 179, 197, 50, 83, 97, 243, 147, 176, 211)(113,
128, 129, 126, 119, 117, 137, 127, 131, 133, 118, 140, 132, 116)(114, 130, 121,
136, 120, 115, 122, 138, 134, 139, 125, 123, 135, 124) (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, 4)(3, 7)(5, 12)(6, 14)(8, 11)(9, 19)(10, 20)(13, 24)(16, 27)(17, 21)(23,
28)(25, 26)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37,
93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46,
102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55,
111)(56, 112)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64,
148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73,
157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82,
166)(83, 167)(84, 168)(113, 225)(114, 226)(115, 227)(116, 228)(117, 229)(118,
230)(119, 231)(120, 232)(121, 233)(122, 234)(123, 235)(124, 236)(125, 237)(126,
238)(127, 239)(128, 240)(129, 241)(130, 242)(131, 243)(132, 244)(133, 245)(134,
246)(135, 247)(136, 248)(137, 249)(138, 250)(139, 251)(140, 252)(169, 202)(170,
217)(171, 197)(172, 209)(173, 223)(174, 200)(175, 214)(176, 222)(177, 203)(178,
215)(179, 198)(180, 212)(181, 208)(182, 221)(183, 210)(184, 199)(185, 201)(186,
207)(187, 219)(188, 205)(189, 216)(190, 204)(191, 211)(192, 206)(193, 220)(194,
213)(195, 224)(196, 218)
c: (1, 29)(2, 32)(3, 56)(4, 30)(5, 48)(6, 39)(7, 51)(8, 42)(9, 37)(10, 40)(11,
34)(12, 38)(13, 45)(14, 36)(15, 43)(16, 44)(17, 41)(18, 46)(19, 47)(20, 33)(21,
52)(22, 50)(23, 35)(24, 49)(25, 54)(26, 53)(27, 55)(28, 31)(57, 113)(58,
116)(59, 140)(60, 114)(61, 132)(62, 123)(63, 135)(64, 126)(65, 121)(66, 124)(67,
118)(68, 122)(69, 129)(70, 120)(71, 127)(72, 128)(73, 125)(74, 130)(75, 131)(76,
117)(77, 136)(78, 134)(79, 119)(80, 133)(81, 138)(82, 137)(83, 139)(84, 115)(85,
252)(86, 230)(87, 240)(88, 235)(89, 237)(90, 225)(91, 233)(92, 246)(93, 229)(94,
245)(95, 242)(96, 241)(97, 226)(98, 239)(99, 231)(100, 234)(101, 249)(102,
247)(103, 236)(104, 248)(105, 228)(106, 227)(107, 243)(108, 250)(109, 232)(110,
238)(111, 244)(112, 251)(143, 163)(145, 150)(146, 148)(147, 168)(149, 159)(151,
154)(152, 160)(153, 161)(156, 167)(157, 164)(169, 198)(170, 206)(171, 202)(172,
201)(173, 224)(174, 217)(175, 207)(176, 220)(177, 211)(178, 219)(179, 209)(180,
199)(181, 215)(182, 213)(183, 222)(184, 218)(185, 205)(186, 200)(187, 214)(188,
203)(189, 223)(190, 221)(191, 210)(192, 212)(193, 216)(194, 208)(195, 197)(196,
204)
d: (2, 4)(3, 28)(5, 20)(6, 11)(7, 23)(8, 14)(10, 12)(13, 17)(21, 24)(25, 26)(29,
57)(30, 60)(31, 84)(32, 58)(33, 76)(34, 67)(35, 79)(36, 70)(37, 65)(38, 68)(39,
62)(40, 66)(41, 73)(42, 64)(43, 71)(44, 72)(45, 69)(46, 74)(47, 75)(48, 61)(49,
80)(50, 78)(51, 63)(52, 77)(53, 82)(54, 81)(55, 83)(56, 59)(85, 141)(86,
144)(87, 168)(88, 142)(89, 160)(90, 151)(91, 163)(92, 154)(93, 149)(94, 152)(95,
146)(96, 150)(97, 157)(98, 148)(99, 155)(100, 156)(101, 153)(102, 158)(103,
159)(104, 145)(105, 164)(106, 162)(107, 147)(108, 161)(109, 166)(110, 165)(111,
167)(112, 143)(113, 169)(114, 172)(115, 196)(116, 170)(117, 188)(118, 179)(119,
191)(120, 182)(121, 177)(122, 180)(123, 174)(124, 178)(125, 185)(126, 176)(127,
183)(128, 184)(129, 181)(130, 186)(131, 187)(132, 173)(133, 192)(134, 190)(135,
175)(136, 189)(137, 194)(138, 193)(139, 195)(140, 171)(197, 252)(198, 230)(199,
240)(200, 235)(201, 237)(202, 225)(203, 233)(204, 246)(205, 229)(206, 245)(207,
242)(208, 241)(209, 226)(210, 239)(211, 231)(212, 234)(213, 249)(214, 247)(215,
236)(216, 248)(217, 228)(218, 227)(219, 243)(220, 250)(221, 232)(222, 238)(223,
244)(224, 251)
C4[ 252, 33 ]
252
-1 57 29 85 141
-2 100 72 226 172
-3 154 233 39 195
-4 44 209 156 114
-5 101 246 207 164
-6 56 91 136 237
-7 121 70 224 95
-8 143 79 216 185
-9 110 165 135 175
-10 69 190 49 130
-11 189 201 59 163
-12 45 134 80 186
-13 200 38 182 96
-14 35 112 125 248
-15 99 155 71 43
-16 60 227 30 218
-17 68 235 150 120
-18 178 124 236 215
-19 81 214 247 54
-20 242 105 204 153
-21 66 232 123 152
-22 122 212 234 180
-23 177 36 146 251
-24 221 94 40 174
-25 220 47 159 138
-26 103 193 250 75
-27 144 115 86 196
-28 92 203 62 139
-29 1 113 141 252
-30 167 179 16 60
-31 188 123 246 83
-32 201 234 128 97
-33 95 161 228 196
-34 143 223 172 140
-35 112 211 14 148
-36 23 104 73 251
-37 165 238 63 207
-38 78 133 13 200
-39 77 89 233 3
-40 221 24 74 129
-41 88 122 145 70
-42 193 205 119 163
-43 231 155 15 127
-44 4 114 106 184
-45 12 213 186 241
-46 66 103 181 219
-47 187 25 102 138
-48 157 92 249 175
-49 190 245 217 10
-50 100 199 68 192
-51 242 173 65 120
-52 124 160 62 109
-53 236 216 108 131
-54 176 81 149 19
-55 144 204 84 230
-56 91 6 151 197
-57 1 169 85 197
-58 157 212 237 184
-59 11 90 163 252
-60 111 16 30 118
-61 154 135 213 97
-62 203 28 160 52
-63 132 37 182 207
-64 91 191 138 229
-65 110 242 222 51
-66 232 46 181 21
-67 112 244 114 171
-68 235 192 17 50
-69 249 130 10 208
-70 145 224 7 41
-71 99 211 15 183
-72 2 128 172 162
-73 36 180 104 142
-74 243 159 40 129
-75 26 158 193 131
-76 146 115 217 108
-77 89 166 178 39
-78 133 156 38 240
-79 143 231 8 98
-80 12 134 206 228
-81 93 126 19 54
-82 187 215 248 161
-83 198 246 31 86
-84 55 204 117 174
-85 1 57 225 140
-86 198 144 27 83
-87 134 167 235 205
-88 122 41 185 240
-89 77 39 116 218
-90 209 59 173 252
-91 56 191 6 64
-92 157 48 28 139
-93 81 147 126 186
-94 24 245 162 174
-95 33 121 7 161
-96 13 158 182 241
-97 154 234 61 32
-98 220 231 188 79
-99 15 71 239 119
-100 199 2 50 226
-101 5 194 129 207
-102 187 47 150 208
-103 46 26 250 219
-104 36 137 214 73
-105 133 170 204 20
-106 44 184 206 152
-107 232 223 149 130
-108 146 236 53 76
-109 243 189 124 52
-110 165 222 9 65
-111 168 190 60 118
-112 67 35 14 171
-113 198 29 195 252
-114 44 67 244 4
-115 27 217 196 76
-116 89 192 218 164
-117 148 84 250 174
-118 111 202 60 251
-119 99 239 42 163
-120 17 51 150 173
-121 238 7 95 183
-122 22 88 212 41
-123 188 31 152 21
-124 215 18 52 109
-125 199 14 248 142
-126 210 233 81 93
-127 231 177 222 43
-128 201 72 162 32
-129 101 40 194 74
-130 69 149 107 10
-131 158 216 53 75
-132 182 226 63 151
-133 78 38 170 105
-134 12 167 80 87
-135 213 61 9 175
-136 166 6 237 219
-137 104 181 214 153
-138 25 47 64 229
-139 92 169 28 230
-140 143 34 225 85
-141 1 202 171 29
-142 199 125 180 73
-143 34 79 8 140
-144 55 27 86 230
-145 70 247 194 41
-146 23 177 108 76
-147 221 244 93 186
-148 35 211 117 250
-149 176 107 130 54
-150 102 17 120 208
-151 132 56 226 197
-152 123 106 206 21
-153 242 137 181 20
-154 3 61 195 97
-155 210 15 191 43
-156 209 78 4 240
-157 58 212 48 92
-158 96 75 131 241
-159 220 243 25 74
-160 170 62 227 52
-161 33 82 215 95
-162 245 72 94 128
-163 11 59 42 119
-164 246 5 192 116
-165 110 37 238 9
-166 77 178 136 219
-167 134 179 30 87
-168 111 200 190 229
-169 57 139 197 230
-170 133 105 160 227
-171 67 112 202 141
-172 34 2 223 72
-173 209 90 51 120
-174 24 94 84 117
-175 135 48 249 9
-176 203 149 239 54
-177 23 222 146 127
-178 77 166 236 18
-179 167 224 225 30
-180 22 234 73 142
-181 66 46 137 153
-182 132 13 63 96
-183 121 211 71 238
-184 44 58 237 106
-185 88 216 8 240
-186 12 45 147 93
-187 47 102 82 248
-188 220 123 31 98
-189 11 243 201 109
-190 111 168 49 10
-191 155 210 91 64
-192 68 50 116 164
-193 26 205 42 75
-194 101 145 247 129
-195 154 198 3 113
-196 33 27 115 228
-197 56 57 169 151
-198 113 83 195 86
-199 100 125 50 142
-200 13 168 38 229
-201 11 189 128 32
-202 171 118 141 251
-203 176 28 62 239
-204 55 105 84 20
-205 235 193 42 87
-206 80 106 228 152
-207 101 37 5 63
-208 69 102 150 249
-209 90 156 4 173
-210 155 233 191 126
-211 35 71 148 183
-212 22 122 58 157
-213 45 135 61 241
-214 104 137 247 19
-215 124 82 18 161
-216 8 53 185 131
-217 245 49 115 76
-218 89 16 116 227
-219 166 46 103 136
-220 188 25 159 98
-221 24 244 147 40
-222 110 177 127 65
-223 34 232 172 107
-224 179 70 225 7
-225 179 224 85 140
-226 132 100 2 151
-227 16 170 160 218
-228 33 80 206 196
-229 200 168 138 64
-230 55 144 169 139
-231 79 127 43 98
-232 66 223 107 21
-233 210 3 126 39
-234 22 180 97 32
-235 68 17 205 87
-236 178 18 53 108
-237 58 136 6 184
-238 121 165 37 183
-239 99 176 203 119
-240 88 78 156 185
-241 45 158 213 96
-242 51 20 65 153
-243 189 159 74 109
-244 67 221 114 147
-245 49 94 162 217
-246 5 83 31 164
-247 145 214 194 19
-248 187 14 125 82
-249 69 48 175 208
-250 26 103 148 117
-251 23 36 202 118
-252 90 113 59 29
0