Graph forms
for C4 [ 270, 15 ] = UG(ATD[270,13])
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On this page are computer-accessible forms for the graph C4[ 270, 15 ] =
UG(ATD[270,13]).
(I) Following is a form readable by MAGMA:
g:=Graph<270|{ {150, 151}, {228, 229}, {129, 131}, {264, 266}, {44, 47}, {228,
231}, {96, 99}, {64, 67}, {25, 29}, {105, 109}, {1, 4}, {195, 198}, {64, 69},
{129, 132}, {1, 7}, {240, 246}, {2, 4}, {105, 111}, {123, 125}, {26, 29}, {195,
196}, {123, 124}, {5, 13}, {135, 143}, {163, 171}, {1, 8}, {98, 107}, {49, 56},
{4, 13}, {3, 10}, {134, 143}, {50, 56}, {260, 270}, {97, 107}, {86, 92}, {1,
10}, {261, 270}, {86, 93}, {118, 123}, {263, 266}, {165, 171}, {227, 237}, {118,
121}, {227, 236}, {150, 153}, {7, 22}, {13, 28}, {11, 25}, {14, 28}, {10, 25},
{6, 19}, {7, 17}, {4, 19}, {8, 31}, {7, 16}, {194, 218}, {238, 246}, {170, 179},
{169, 179}, {194, 217}, {44, 48}, {77, 80}, {207, 210}, {78, 80}, {226, 252},
{207, 209}, {9, 22}, {227, 252}, {225, 254}, {150, 182}, {223, 254}, {9, 43},
{22, 52}, {19, 49}, {148, 182}, {8, 43}, {23, 52}, {149, 177}, {197, 225}, {13,
40}, {20, 49}, {148, 177}, {15, 40}, {198, 225}, {128, 167}, {8, 32}, {193,
233}, {12, 37}, {29, 55}, {195, 233}, {192, 234}, {28, 55}, {17, 61}, {128,
174}, {194, 236}, {10, 37}, {195, 236}, {17, 62}, {129, 174}, {76, 125}, {222,
239}, {16, 34}, {203, 249}, {16, 35}, {220, 239}, {78, 125}, {149, 161}, {212,
224}, {193, 245}, {204, 249}, {213, 224}, {72, 126}, {149, 162}, {193, 246}, {2,
58}, {70, 126}, {2, 59}, {67, 122}, {14, 52}, {67, 121}, {14, 53}, {18, 46},
{206, 242}, {94, 99}, {16, 46}, {205, 242}, {17, 85}, {186, 254}, {183, 243},
{23, 83}, {182, 243}, {186, 255}, {189, 251}, {18, 85}, {188, 251}, {31, 88},
{41, 97}, {47, 103}, {44, 100}, {141, 197}, {40, 97}, {46, 103}, {161, 232},
{162, 235}, {61, 119}, {24, 83}, {61, 118}, {161, 234}, {176, 251}, {146, 222},
{176, 252}, {155, 215}, {157, 209}, {23, 90}, {133, 200}, {147, 222}, {154,
215}, {23, 89}, {139, 197}, {159, 209}, {43, 100}, {135, 200}, {143, 192}, {162,
237}, {2, 82}, {35, 115}, {32, 112}, {141, 221}, {144, 192}, {3, 82}, {32, 113},
{30, 79}, {24, 73}, {133, 212}, {45, 127}, {56, 106}, {134, 212}, {21, 70},
{184, 235}, {28, 79}, {141, 222}, {40, 124}, {190, 234}, {184, 236}, {179, 231},
{43, 127}, {132, 208}, {19, 70}, {178, 231}, {25, 76}, {173, 248}, {42, 124},
{132, 210}, {141, 219}, {174, 248}, {27, 76}, {35, 116}, {140, 219}, {168, 242},
{168, 243}, {55, 106}, {187, 230}, {31, 65}, {187, 229}, {137, 215}, {22, 73},
{31, 64}, {137, 214}, {156, 252}, {34, 67}, {58, 91}, {5, 103}, {152, 250},
{181, 209}, {191, 219}, {146, 247}, {191, 218}, {181, 208}, {34, 68}, {58, 92},
{57, 95}, {145, 247}, {156, 250}, {57, 94}, {177, 216}, {21, 127}, {39, 75}, {3,
110}, {37, 72}, {5, 104}, {151, 250}, {3, 109}, {39, 73}, {39, 72}, {135, 247},
{162, 210}, {131, 241}, {160, 210}, {130, 241}, {158, 232}, {158, 233}, {175,
216}, {38, 94}, {44, 84}, {140, 244}, {33, 88}, {45, 84}, {34, 91}, {45, 87},
{37, 94}, {45, 86}, {26, 100}, {135, 249}, {144, 238}, {153, 231}, {26, 101},
{36, 91}, {139, 244}, {144, 239}, {153, 230}, {59, 187}, {68, 196}, {65, 193},
{62, 190}, {54, 183}, {68, 197}, {62, 191}, {69, 199}, {119, 245}, {54, 181},
{65, 194}, {119, 244}, {60, 184}, {53, 176}, {60, 186}, {74, 204}, {59, 188},
{75, 204}, {79, 199}, {80, 218}, {110, 228}, {122, 240}, {81, 218}, {91, 208},
{110, 226}, {24, 149}, {93, 208}, {69, 200}, {24, 150}, {11, 155}, {119, 230},
{104, 250}, {114, 224}, {104, 251}, {114, 225}, {120, 235}, {5, 145}, {95, 203},
{21, 129}, {30, 139}, {98, 247}, {95, 202}, {51, 166}, {122, 239}, {29, 139},
{81, 199}, {6, 145}, {11, 156}, {82, 202}, {85, 205}, {11, 146}, {53, 175}, {98,
248}, {87, 205}, {51, 168}, {115, 232}, {66, 223}, {117, 232}, {118, 235}, {12,
146}, {84, 202}, {50, 172}, {120, 230}, {50, 173}, {41, 137}, {69, 229}, {61,
157}, {58, 154}, {68, 229}, {63, 157}, {66, 224}, {41, 138}, {41, 140}, {42,
140}, {98, 196}, {72, 238}, {60, 154}, {99, 196}, {102, 206}, {71, 238}, {102,
207}, {46, 130}, {116, 217}, {116, 219}, {6, 182}, {99, 211}, {47, 159}, {9,
185}, {9, 184}, {103, 214}, {47, 158}, {113, 192}, {48, 130}, {97, 211}, {6,
181}, {36, 151}, {108, 223}, {32, 148}, {49, 133}, {35, 151}, {33, 148}, {92,
233}, {106, 223}, {124, 201}, {51, 133}, {92, 234}, {57, 142}, {126, 201}, {30,
166}, {126, 198}, {30, 167}, {55, 142}, {125, 198}, {52, 136}, {117, 201}, {117,
200}, {54, 136}, {105, 214}, {83, 147}, {12, 205}, {50, 240}, {89, 155}, {12,
207}, {88, 155}, {51, 240}, {20, 215}, {112, 179}, {77, 137}, {89, 157}, {112,
180}, {77, 136}, {96, 165}, {84, 147}, {96, 167}, {89, 158}, {21, 221}, {101,
173}, {96, 168}, {108, 164}, {20, 221}, {75, 130}, {76, 134}, {77, 134}, {102,
173}, {20, 216}, {109, 161}, {71, 138}, {109, 160}, {113, 188}, {87, 153}, {113,
191}, {114, 188}, {122, 180}, {71, 136}, {87, 152}, {75, 132}, {108, 163}, {123,
180}, {74, 154}, {14, 220}, {108, 190}, {15, 220}, {48, 227}, {48, 228}, {101,
177}, {101, 176}, {107, 190}, {111, 186}, {74, 156}, {111, 185}, {106, 178},
{111, 183}, {115, 171}, {127, 167}, {65, 152}, {90, 131}, {107, 178}, {110,
183}, {115, 170}, {66, 152}, {88, 131}, {33, 253}, {62, 226}, {121, 165}, {63,
226}, {121, 164}, {33, 255}, {42, 202}, {78, 174}, {64, 160}, {57, 217}, {56,
217}, {90, 187}, {66, 160}, {78, 172}, {71, 163}, {70, 163}, {42, 204}, {79,
169}, {90, 189}, {27, 243}, {104, 128}, {105, 128}, {27, 241}, {18, 254}, {102,
138}, {74, 166}, {114, 159}, {100, 138}, {18, 253}, {73, 166}, {112, 159}, {38,
214}, {60, 206}, {59, 206}, {120, 142}, {120, 143}, {80, 169}, {86, 175}, {85,
175}, {95, 165}, {15, 242}, {54, 203}, {15, 241}, {82, 172}, {53, 203}, {38,
216}, {83, 172}, {26, 260}, {27, 260}, {39, 261}, {38, 261}, {36, 256}, {36,
257}, {63, 258}, {63, 257}, {81, 259}, {81, 261}, {93, 265}, {93, 266}, {117,
267}, {116, 267}, {142, 256}, {144, 256}, {147, 259}, {145, 259}, {164, 260},
{170, 268}, {164, 259}, {170, 269}, {171, 262}, {169, 262}, {185, 265}, {185,
267}, {189, 267}, {189, 266}, {178, 265}, {180, 265}, {199, 258}, {201, 258},
{220, 268}, {221, 268}, {211, 257}, {212, 263}, {211, 263}, {213, 257}, {213,
268}, {213, 270}, {237, 263}, {237, 262}, {249, 269}, {248, 269}, {253, 264},
{245, 269}, {245, 270}, {253, 262}, {244, 264}, {255, 258}, {246, 264}, {255,
256} }>;
(II) A more general form is to represent the graph as the orbit of {150, 151}
under the group generated by the following permutations:
a: (2, 43)(3, 22)(4, 8)(5, 88)(6, 148)(7, 10)(9, 82)(11, 46)(12, 85)(13, 31)(14,
160)(15, 152)(16, 25)(17, 37)(18, 146)(19, 32)(20, 159)(21, 188)(23, 105)(24,
183)(26, 91)(27, 151)(28, 64)(29, 34)(30, 229)(33, 145)(35, 76)(36, 260)(38,
157)(39, 226)(40, 65)(41, 233)(42, 236)(44, 154)(45, 206)(47, 215)(48, 74)(49,
112)(50, 265)(51, 231)(52, 109)(53, 210)(54, 149)(55, 67)(56, 180)(57, 118)(58,
100)(59, 127)(60, 84)(61, 94)(62, 72)(63, 261)(66, 220)(68, 139)(69, 79)(70,
113)(71, 234)(73, 110)(75, 252)(77, 232)(78, 267)(80, 117)(81, 258)(83, 111)(86,
102)(87, 242)(89, 214)(90, 128)(92, 138)(93, 173)(95, 235)(96, 230)(97, 193)(98,
264)(99, 119)(101, 208)(103, 155)(104, 131)(106, 122)(107, 246)(108, 144)(114,
221)(115, 134)(116, 125)(120, 165)(121, 142)(123, 217)(124, 194)(126, 191)(129,
251)(130, 156)(132, 176)(133, 179)(135, 262)(136, 161)(137, 158)(140, 195)(141,
225)(143, 171)(147, 186)(150, 243)(153, 168)(162, 203)(163, 192)(164, 256)(166,
228)(167, 187)(169, 200)(170, 212)(172, 185)(174, 189)(175, 207)(177, 181)(178,
240)(184, 202)(190, 238)(196, 244)(198, 219)(201, 218)(204, 227)(209, 216)(211,
245)(222, 254)(223, 239)(224, 268)(237, 249)(241, 250)(247, 253)(248, 266)(255,
259)(257, 270)(263, 269) (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, 2)(7, 59)(8, 58)(9, 60)(10, 82)(11, 84)(12, 83)(14, 15)(16, 188)(17,
187)(18, 189)(20, 21)(22, 206)(23, 205)(24, 207)(25, 202)(26, 204)(27, 203)(28,
40)(29, 42)(30, 41)(31, 92)(32, 91)(33, 93)(34, 113)(35, 114)(36, 112)(37,
172)(38, 174)(39, 173)(43, 154)(44, 156)(45, 155)(46, 251)(47, 250)(48, 252)(49,
70)(50, 72)(51, 71)(52, 242)(53, 241)(54, 243)(55, 124)(56, 126)(57, 125)(61,
230)(62, 229)(63, 231)(64, 234)(65, 233)(66, 232)(67, 192)(68, 191)(69, 190)(73,
102)(74, 100)(75, 101)(76, 95)(77, 96)(78, 94)(79, 97)(80, 99)(81, 98)(85,
90)(86, 88)(87, 89)(103, 104)(106, 201)(107, 199)(108, 200)(115, 224)(116,
225)(117, 223)(118, 120)(121, 143)(122, 144)(123, 142)(127, 215)(128, 214)(129,
216)(130, 176)(131, 175)(132, 177)(133, 163)(134, 165)(135, 164)(136, 168)(137,
167)(138, 166)(139, 140)(146, 147)(148, 208)(149, 210)(150, 209)(151, 159)(152,
158)(153, 157)(160, 161)(169, 211)(170, 213)(171, 212)(178, 258)(179, 257)(180,
256)(181, 182)(185, 186)(194, 195)(196, 218)(197, 219)(198, 217)(226, 228)(238,
240)(247, 259)(248, 261)(249, 260)(253, 266)(254, 267)(255, 265)(262, 263)(269,
270)
c: (2, 43, 3, 22)(4, 8, 10, 7)(5, 148, 11, 85)(6, 88, 12, 46)(9, 82)(13, 32, 25,
17)(14, 188, 26, 226)(15, 159, 27, 157)(16, 19, 31, 37)(18, 145, 33, 146)(20,
152, 38, 151)(21, 160, 39, 91)(23, 206, 44, 183)(24, 154, 45, 105)(28, 113, 29,
62)(30, 234)(34, 70, 64, 72)(35, 49, 65, 94)(36, 221, 66, 261)(40, 112, 76,
61)(41, 231, 77, 230)(42, 265, 78, 235)(47, 243, 89, 242)(48, 54, 90, 102)(50,
236, 95, 267)(51, 233, 96, 232)(52, 59, 100, 110)(53, 251, 101, 252)(55,
191)(56, 194, 57, 116)(58, 127, 109, 73)(60, 84, 111, 83)(63, 220, 114, 260)(67,
126)(68, 163, 69, 238)(71, 229)(74, 86, 128, 149)(75, 208, 129, 210)(79, 192,
139, 190)(80, 120, 140, 178)(81, 256, 141, 223)(87, 214, 150, 215)(92, 167, 161,
166)(93, 174, 162, 204)(97, 179, 134, 119)(98, 262, 135, 264)(99, 115, 133,
193)(103, 182, 155, 205)(104, 177, 156, 175)(106, 218, 142, 219)(107, 169, 143,
244)(108, 199, 144, 197)(117, 240, 195, 165)(118, 124, 180, 125)(121, 201, 122,
198)(130, 181, 131, 207)(136, 187, 138, 228)(137, 153)(147, 186)(158, 168)(164,
258, 239, 225)(170, 212, 245, 211)(171, 200, 246, 196)(172, 184, 202, 185)(173,
227, 203, 189)(209, 241)(216, 250)(222, 254, 259, 255)(224, 270, 257, 268)(237,
249, 266, 248)(247, 253)(263, 269)
d: (1, 4, 2, 82, 3, 10)(5, 154, 83, 183, 12, 43)(6, 206, 84, 105, 11, 22)(7, 19,
59, 202, 109, 25)(8, 13, 58, 172, 110, 37)(9, 145, 60, 147, 111, 146)(14, 208,
173, 48, 38, 88)(15, 86, 174, 252, 39, 148)(16, 49, 187, 95, 160, 29)(17, 70,
188, 42, 161, 76)(18, 221, 189, 249, 162, 260)(20, 90, 203, 210, 26, 46)(21,
251, 204, 149, 27, 85)(23, 54, 207, 100, 103, 215)(24, 243, 205, 127, 104,
74)(28, 91, 50, 228, 94, 31)(30, 151, 51, 153, 96, 152)(32, 40, 92, 78, 226,
72)(33, 220, 93, 248, 227, 261)(34, 56, 229, 57, 64, 55)(35, 133, 230, 165, 66,
139)(36, 240, 231, 99, 65, 79)(41, 158, 77, 157, 71, 159)(44, 214, 155, 52, 181,
102)(45, 128, 156, 73, 182, 242)(47, 137, 89, 136, 209, 138)(53, 132, 101, 130,
216, 131)(61, 163, 114, 140, 232, 134)(62, 126, 113, 124, 234, 125)(63, 238,
112, 97, 233, 80)(67, 106, 68, 217, 69, 142)(75, 177, 241, 175, 129, 176)(81,
255, 239, 265, 98, 236)(87, 167, 250, 166, 150, 168)(107, 195, 218, 258, 144,
180)(108, 225, 219, 117, 143, 118)(115, 212, 119, 171, 224, 244)(116, 200, 120,
121, 223, 197)(122, 178, 196, 194, 199, 256)(123, 190, 198, 191, 201, 192)(135,
235, 164, 254, 141, 267)(169, 257, 246, 179, 211, 193)(170, 263, 245, 262, 213,
264)(184, 259, 186, 222, 185, 247)(237, 270, 253, 268, 266, 269)
C4[ 270, 15 ]
270
-1 4 7 8 10
-2 58 4 59 82
-3 110 82 10 109
-4 1 2 13 19
-5 13 145 103 104
-6 145 181 182 19
-7 22 1 16 17
-8 1 31 32 43
-9 22 184 185 43
-10 1 3 25 37
-11 155 156 25 146
-12 146 37 205 207
-13 4 5 28 40
-14 220 28 52 53
-15 220 242 40 241
-16 34 35 46 7
-17 61 7 62 85
-18 253 254 46 85
-19 4 70 49 6
-20 221 49 215 216
-21 221 70 127 129
-22 7 73 52 9
-23 89 90 83 52
-24 83 149 73 150
-25 11 29 10 76
-26 100 101 29 260
-27 243 260 76 241
-28 55 13 79 14
-29 55 25 26 139
-30 166 79 167 139
-31 88 8 64 65
-32 112 113 148 8
-33 88 253 255 148
-34 67 68 91 16
-35 16 115 116 151
-36 91 256 257 151
-37 12 72 94 10
-38 214 94 216 261
-39 72 73 261 75
-40 13 124 15 97
-41 137 138 140 97
-42 124 202 204 140
-43 100 127 8 9
-44 100 47 48 84
-45 127 84 86 87
-46 103 16 18 130
-47 44 103 158 159
-48 44 227 228 130
-49 56 133 19 20
-50 56 172 173 240
-51 133 166 168 240
-52 22 23 14 136
-53 176 14 203 175
-54 136 181 203 183
-55 28 29 106 142
-56 49 50 106 217
-57 94 95 217 142
-58 154 2 91 92
-59 187 188 2 206
-60 154 184 206 186
-61 157 17 118 119
-62 190 191 17 226
-63 157 257 258 226
-64 67 69 160 31
-65 193 194 31 152
-66 223 224 160 152
-67 121 34 122 64
-68 34 196 229 197
-69 199 200 64 229
-70 126 19 163 21
-71 136 138 238 163
-72 37 126 39 238
-73 22 166 24 39
-74 154 166 156 204
-75 132 39 204 130
-76 134 25 125 27
-77 134 80 136 137
-78 80 125 172 174
-79 199 169 28 30
-80 77 78 169 218
-81 199 259 261 218
-82 2 3 202 172
-83 23 24 147 172
-84 44 45 147 202
-85 17 18 205 175
-86 45 92 93 175
-87 45 205 152 153
-88 33 155 31 131
-89 23 155 157 158
-90 187 23 189 131
-91 34 36 58 208
-92 233 58 234 86
-93 265 266 86 208
-94 99 57 37 38
-95 165 57 202 203
-96 99 165 167 168
-97 211 40 41 107
-98 247 248 107 196
-99 211 94 96 196
-100 44 26 138 43
-101 176 177 26 173
-102 138 173 206 207
-103 46 47 5 214
-104 5 128 250 251
-105 111 214 128 109
-106 55 56 178 223
-107 178 190 97 98
-108 190 223 163 164
-109 3 105 160 161
-110 3 226 183 228
-111 105 183 185 186
-112 179 180 159 32
-113 188 191 192 32
-114 188 224 159 225
-115 232 35 170 171
-116 35 267 217 219
-117 232 200 201 267
-118 121 123 235 61
-119 244 245 61 230
-120 143 235 142 230
-121 165 67 118 164
-122 67 180 239 240
-123 124 125 180 118
-124 123 201 40 42
-125 198 78 123 76
-126 198 201 70 72
-127 45 167 21 43
-128 167 104 105 174
-129 132 174 21 131
-130 46 48 75 241
-131 88 90 129 241
-132 210 129 75 208
-133 200 212 49 51
-134 77 143 212 76
-135 143 200 247 249
-136 77 71 52 54
-137 77 214 215 41
-138 100 102 71 41
-139 244 29 30 197
-140 244 41 42 219
-141 221 222 197 219
-142 55 57 256 120
-143 134 135 192 120
-144 256 192 238 239
-145 5 247 6 259
-146 11 12 222 247
-147 222 83 259 84
-148 33 177 182 32
-149 177 24 161 162
-150 24 182 151 153
-151 35 36 150 250
-152 66 250 65 87
-153 231 150 87 230
-154 58 60 215 74
-155 11 88 89 215
-156 11 74 250 252
-157 209 89 61 63
-158 89 232 233 47
-159 209 112 47 114
-160 66 210 64 109
-161 232 234 149 109
-162 210 235 149 237
-163 70 71 171 108
-164 121 259 260 108
-165 121 171 95 96
-166 51 73 30 74
-167 127 128 30 96
-168 242 243 51 96
-169 79 80 179 262
-170 179 268 115 269
-171 165 115 163 262
-172 78 82 50 83
-173 101 102 50 248
-174 78 248 128 129
-175 216 85 53 86
-176 101 53 251 252
-177 101 148 149 216
-178 231 265 106 107
-179 231 112 169 170
-180 122 265 112 123
-181 209 6 54 208
-182 243 148 6 150
-183 110 111 243 54
-184 235 60 236 9
-185 111 265 267 9
-186 111 254 255 60
-187 90 59 229 230
-188 113 59 114 251
-189 90 266 267 251
-190 234 62 107 108
-191 113 62 218 219
-192 143 144 113 234
-193 233 245 246 65
-194 236 217 218 65
-195 198 233 236 196
-196 99 68 195 98
-197 68 225 139 141
-198 125 126 225 195
-199 79 69 81 258
-200 133 69 135 117
-201 124 126 258 117
-202 82 84 95 42
-203 95 249 53 54
-204 249 74 42 75
-205 242 12 85 87
-206 242 102 59 60
-207 209 12 210 102
-208 132 91 93 181
-209 157 159 181 207
-210 132 160 162 207
-211 99 257 97 263
-212 133 134 224 263
-213 224 257 268 270
-214 103 38 137 105
-215 154 155 137 20
-216 177 38 20 175
-217 56 57 116 194
-218 80 81 191 194
-219 191 116 140 141
-220 14 15 268 239
-221 268 20 141 21
-222 146 147 239 141
-223 66 254 106 108
-224 66 212 114 213
-225 198 254 114 197
-226 110 62 63 252
-227 48 236 237 252
-228 110 231 48 229
-229 187 68 69 228
-230 187 119 120 153
-231 178 179 228 153
-232 158 115 117 161
-233 92 158 193 195
-234 190 92 192 161
-235 118 162 184 120
-236 194 227 184 195
-237 227 162 262 263
-238 144 246 71 72
-239 220 122 144 222
-240 122 246 50 51
-241 15 27 130 131
-242 168 15 205 206
-243 168 27 182 183
-244 264 139 140 119
-245 269 193 270 119
-246 264 193 238 240
-247 145 135 146 98
-248 269 173 174 98
-249 135 203 269 204
-250 156 104 151 152
-251 176 188 189 104
-252 176 156 226 227
-253 33 264 18 262
-254 223 225 18 186
-255 33 256 258 186
-256 144 255 36 142
-257 211 36 213 63
-258 199 255 201 63
-259 145 81 147 164
-260 26 27 270 164
-261 81 38 39 270
-262 253 169 171 237
-263 211 266 212 237
-264 253 244 266 246
-265 178 180 93 185
-266 264 189 93 263
-267 189 116 117 185
-268 220 221 213 170
-269 245 170 248 249
-270 245 213 260 261
0