Graph forms
for C4 [ 288, 101 ] = UG(ATD[288,115])
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On this page are computer-accessible forms for the graph C4[ 288, 101 ] =
UG(ATD[288,115]).
(I) Following is a form readable by MAGMA:
g:=Graph<288|{ {216, 217}, {220, 221}, {28, 30}, {245, 247}, {72, 74}, {64, 66},
{1, 2}, {105, 106}, {133, 134}, {153, 154}, {1, 5}, {282, 286}, {273, 277},
{226, 230}, {225, 229}, {203, 207}, {194, 198}, {3, 7}, {2, 6}, {115, 119},
{112, 117}, {162, 167}, {129, 135}, {258, 260}, {11, 12}, {59, 60}, {35, 36},
{27, 28}, {113, 118}, {161, 166}, {279, 287}, {178, 187}, {20, 30}, {279, 285},
{209, 219}, {103, 109}, {82, 88}, {149, 159}, {151, 157}, {163, 168}, {272,
283}, {2, 14}, {275, 287}, {212, 216}, {83, 95}, {4, 8}, {3, 15}, {128, 140},
{38, 40}, {71, 73}, {64, 78}, {52, 58}, {177, 190}, {263, 264}, {256, 271},
{183, 184}, {70, 87}, {264, 281}, {207, 221}, {259, 273}, {238, 252}, {233,
250}, {271, 284}, {4, 16}, {230, 242}, {200, 220}, {174, 186}, {7, 19}, {6, 18},
{5, 17}, {13, 24}, {267, 286}, {39, 50}, {77, 90}, {271, 280}, {266, 285}, {236,
251}, {131, 148}, {9, 17}, {258, 282}, {32, 57}, {256, 281}, {43, 49}, {47, 53},
{110, 116}, {12, 23}, {45, 54}, {33, 58}, {8, 20}, {206, 210}, {205, 209}, {204,
208}, {10, 22}, {9, 21}, {67, 94}, {257, 284}, {202, 215}, {33, 63}, {141, 147},
{6, 25}, {204, 211}, {44, 51}, {111, 112}, {93, 125}, {94, 127}, {157, 188}, {7,
36}, {81, 114}, {136, 171}, {12, 40}, {208, 244}, {90, 126}, {23, 51}, {22, 50},
{21, 49}, {20, 48}, {15, 43}, {14, 42}, {13, 41}, {6, 35}, {29, 56}, {137, 172},
{66, 100}, {67, 101}, {5, 34}, {210, 245}, {138, 173}, {18, 59}, {197, 236},
{83, 122}, {152, 177}, {155, 178}, {215, 253}, {218, 240}, {87, 124}, {267,
288}, {192, 235}, {10, 38}, {27, 55}, {26, 54}, {25, 53}, {24, 52}, {11, 39},
{8, 37}, {219, 246}, {86, 123}, {154, 183}, {158, 179}, {16, 62}, {214, 248},
{212, 250}, {195, 237}, {19, 60}, {26, 43}, {15, 61}, {136, 186}, {137, 187},
{140, 190}, {141, 191}, {76, 127}, {132, 183}, {72, 125}, {84, 97}, {75, 126},
{131, 182}, {138, 188}, {217, 239}, {139, 189}, {27, 44}, {130, 181}, {66, 122},
{19, 42}, {281, 288}, {92, 101}, {89, 96}, {71, 124}, {213, 238}, {158, 165},
{16, 44}, {19, 47}, {18, 46}, {17, 45}, {70, 123}, {194, 255}, {192, 253}, {132,
185}, {69, 123}, {218, 228}, {134, 184}, {135, 185}, {142, 176}, {144, 174},
{145, 175}, {159, 161}, {31, 32}, {222, 225}, {193, 254}, {38, 103}, {181, 244},
{179, 242}, {176, 241}, {57, 120}, {55, 118}, {53, 116}, {51, 114}, {48, 113},
{46, 111}, {44, 109}, {41, 104}, {39, 102}, {45, 110}, {191, 252}, {187, 248},
{182, 245}, {58, 121}, {54, 117}, {172, 239}, {169, 237}, {171, 238}, {190,
251}, {188, 249}, {143, 201}, {52, 115}, {189, 250}, {180, 243}, {9, 65}, {152,
208}, {162, 234}, {163, 235}, {164, 236}, {35, 106}, {37, 108}, {160, 233}, {14,
69}, {34, 105}, {175, 227}, {181, 248}, {186, 247}, {142, 192}, {143, 193}, {36,
107}, {185, 246}, {182, 249}, {56, 119}, {149, 197}, {176, 224}, {150, 198},
{151, 199}, {152, 200}, {185, 232}, {144, 194}, {145, 195}, {165, 247}, {30,
77}, {24, 76}, {139, 223}, {18, 71}, {48, 102}, {191, 233}, {188, 234}, {136,
222}, {146, 196}, {17, 70}, {128, 215}, {25, 65}, {129, 216}, {131, 218}, {134,
220}, {189, 231}, {135, 221}, {59, 96}, {130, 217}, {20, 72}, {63, 99}, {62,
98}, {61, 97}, {31, 67}, {23, 75}, {22, 74}, {21, 73}, {29, 64}, {174, 243},
{173, 240}, {169, 244}, {26, 68}, {133, 219}, {172, 242}, {47, 112}, {160, 255},
{46, 79}, {49, 80}, {50, 81}, {43, 79}, {56, 94}, {57, 95}, {48, 88}, {52, 92},
{51, 91}, {50, 90}, {49, 89}, {150, 254}, {170, 195}, {55, 93}, {62, 82}, {63,
83}, {140, 224}, {141, 225}, {34, 79}, {143, 226}, {32, 78}, {175, 193}, {146,
227}, {148, 229}, {173, 223}, {187, 201}, {35, 80}, {180, 199}, {149, 230},
{168, 219}, {170, 217}, {37, 81}, {40, 93}, {147, 228}, {159, 232}, {45, 85},
{60, 68}, {47, 87}, {46, 86}, {179, 202}, {40, 82}, {41, 83}, {157, 231}, {61,
70}, {156, 231}, {42, 84}, {42, 85}, {105, 234}, {26, 156}, {117, 243}, {41,
165}, {67, 205}, {64, 211}, {66, 209}, {54, 162}, {107, 255}, {76, 216}, {34,
180}, {57, 161}, {96, 252}, {56, 166}, {7, 167}, {8, 169}, {110, 207}, {112,
209}, {117, 212}, {102, 196}, {105, 203}, {108, 206}, {58, 153}, {113, 210},
{118, 213}, {106, 204}, {107, 205}, {116, 211}, {101, 204}, {99, 207}, {120,
214}, {121, 201}, {10, 184}, {69, 240}, {115, 197}, {100, 221}, {122, 192}, {32,
155}, {73, 245}, {119, 202}, {97, 222}, {111, 208}, {28, 220}, {5, 198}, {36,
231}, {111, 172}, {96, 165}, {98, 167}, {119, 178}, {109, 171}, {97, 166}, {108,
171}, {120, 176}, {86, 159}, {116, 189}, {123, 178}, {124, 181}, {84, 158},
{126, 180}, {99, 168}, {122, 177}, {125, 182}, {91, 150}, {100, 169}, {114,
191}, {78, 128}, {79, 129}, {62, 241}, {101, 170}, {82, 157}, {120, 183}, {124,
179}, {84, 132}, {95, 143}, {94, 142}, {93, 141}, {92, 140}, {91, 139}, {90,
138}, {89, 137}, {88, 136}, {87, 135}, {86, 134}, {85, 133}, {73, 155}, {81,
131}, {80, 130}, {24, 203}, {76, 152}, {80, 132}, {75, 156}, {72, 144}, {12,
214}, {55, 237}, {77, 150}, {127, 164}, {9, 213}, {85, 137}, {69, 153}, {113,
173}, {114, 174}, {115, 175}, {71, 154}, {74, 151}, {25, 199}, {126, 160}, {78,
145}, {14, 238}, {59, 218}, {11, 232}, {11, 239}, {28, 248}, {31, 250}, {2,
229}, {109, 138}, {121, 158}, {104, 128}, {29, 247}, {107, 129}, {15, 228}, {63,
212}, {110, 130}, {127, 146}, {39, 200}, {106, 133}, {61, 210}, {22, 230}, {4,
246}, {104, 154}, {99, 145}, {98, 144}, {60, 206}, {103, 148}, {21, 225}, {23,
226}, {102, 147}, {4, 242}, {100, 146}, {125, 139}, {53, 194}, {121, 142}, {88,
160}, {89, 161}, {91, 162}, {95, 164}, {104, 149}, {10, 244}, {92, 163}, {31,
269}, {29, 270}, {1, 277}, {16, 260}, {13, 276}, {30, 261}, {3, 287}, {27, 263},
{1, 286}, {13, 274}, {3, 284}, {38, 262}, {33, 265}, {37, 264}, {33, 278}, {74,
268}, {77, 258}, {75, 275}, {65, 280}, {65, 285}, {68, 283}, {68, 288}, {103,
259}, {118, 273}, {108, 257}, {98, 272}, {156, 280}, {147, 281}, {151, 282},
{155, 278}, {153, 269}, {148, 266}, {163, 259}, {164, 256}, {170, 262}, {168,
263}, {186, 265}, {166, 274}, {190, 266}, {167, 286}, {177, 264}, {184, 260},
{196, 262}, {195, 256}, {205, 265}, {196, 257}, {203, 270}, {197, 258}, {211,
276}, {223, 278}, {193, 267}, {200, 259}, {201, 260}, {202, 261}, {223, 270},
{206, 285}, {222, 269}, {198, 287}, {214, 268}, {215, 268}, {199, 283}, {235,
267}, {251, 283}, {240, 274}, {241, 275}, {234, 265}, {254, 280}, {237, 266},
{243, 276}, {239, 263}, {235, 257}, {253, 279}, {252, 278}, {232, 261}, {253,
272}, {249, 276}, {251, 277}, {224, 271}, {246, 262}, {228, 277}, {255, 270},
{226, 272}, {254, 268}, {227, 273}, {227, 279}, {249, 269}, {241, 261}, {213,
288}, {229, 284}, {224, 282}, {233, 274}, {236, 275} }>;
(II) A more general form is to represent the graph as the orbit of {216, 217}
under the group generated by the following permutations:
a: (2, 286)(4, 31)(5, 277)(6, 267)(7, 284)(8, 250)(9, 283)(10, 33)(11, 29)(12,
247)(13, 28)(14, 282)(15, 287)(16, 269)(17, 251)(18, 193)(19, 271)(20, 233)(21,
272)(22, 278)(23, 245)(24, 220)(25, 288)(26, 285)(27, 276)(30, 274)(32, 242)(34,
273)(35, 235)(36, 257)(37, 189)(38, 265)(39, 270)(40, 186)(41, 248)(42, 224)(43,
279)(44, 249)(45, 190)(46, 175)(47, 256)(48, 160)(49, 253)(50, 223)(51, 182)(52,
134)(53, 281)(54, 266)(55, 243)(56, 232)(57, 179)(58, 184)(59, 254)(60, 280)(61,
275)(62, 222)(63, 244)(64, 239)(65, 68)(66, 217)(67, 246)(69, 258)(70, 236)(71,
143)(72, 191)(73, 226)(74, 252)(75, 210)(76, 221)(77, 240)(78, 172)(79, 227)(80,
192)(81, 139)(82, 136)(83, 181)(84, 176)(85, 140)(86, 115)(87, 164)(89, 215)(90,
173)(91, 131)(92, 133)(93, 174)(94, 185)(95, 124)(96, 268)(97, 241)(98, 225)(99,
208)(100, 216)(101, 219)(102, 255)(103, 234)(104, 187)(105, 259)(106, 163)(107,
196)(108, 231)(109, 188)(110, 177)(111, 145)(112, 195)(113, 126)(114, 125)(116,
264)(117, 237)(118, 180)(119, 159)(120, 158)(121, 183)(122, 130)(123, 197)(127,
135)(128, 137)(129, 146)(132, 142)(141, 144)(147, 194)(148, 162)(149, 178)(150,
218)(151, 238)(152, 207)(153, 260)(154, 201)(155, 230)(156, 206)(157, 171)(161,
202)(165, 214)(166, 261)(167, 229)(168, 204)(169, 212)(170, 209)(198, 228)(199,
213)(200, 203)(205, 262)(211, 263) (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, 229, 225, 141, 191, 114, 174, 144, 194, 198, 5)(3, 9, 228, 238, 131,
136, 125, 160, 91, 180, 167, 25)(4, 64, 261, 207, 197, 133, 140, 132, 195, 161,
263, 41)(6, 284, 21, 147, 252, 81, 186, 72, 255, 150, 34, 286)(7, 65, 15, 213,
218, 171, 182, 88, 139, 126, 162, 199)(8, 29, 30, 203, 258, 106, 224, 80, 256,
89, 264, 165)(10, 67, 214, 216, 143, 111, 192, 124, 146, 178, 200, 58)(11, 63,
230, 209, 215, 135, 175, 86, 163, 154, 262, 32)(12, 212, 226, 112, 253, 87, 227,
123, 259, 153, 38, 31)(13, 16, 211, 241, 110, 236, 85, 190, 84, 237, 166,
27)(14, 148, 222, 93, 233, 51, 243, 98, 53, 287, 17, 277)(18, 257, 73, 102, 278,
50, 265, 74, 107, 254, 79, 267)(19, 285, 61, 118, 240, 109, 249, 82, 189, 75,
54, 283)(20, 270, 77, 105, 282, 35, 271, 49, 281, 96, 37, 247)(22, 205, 268,
129, 193, 46, 235, 71, 196, 155, 39, 33)(23, 117, 272, 47, 279, 70, 273, 69,
103, 269, 40, 250)(24, 260, 204, 176, 130, 164, 137, 177, 158, 169, 56, 28)(26,
68, 60, 206, 210, 113, 173, 138, 188, 157, 231, 156)(36, 280, 43, 288, 59, 108,
245, 48, 223, 90, 234, 151)(42, 266, 97, 55, 274, 44, 276, 62, 116, 275, 45,
251)(52, 184, 101, 120, 217, 95, 172, 122, 179, 100, 119, 220)(57, 239, 83, 242,
66, 202, 221, 115, 134, 92, 183, 170)(76, 201, 208, 142, 181, 127, 187, 152,
121, 244, 94, 248)(78, 232, 99, 149, 219, 128, 185, 145, 159, 168, 104, 246)
c: (2, 5)(4, 11)(6, 17)(7, 15)(8, 12)(9, 25)(10, 28)(13, 33)(14, 34)(16, 39)(18,
45)(19, 43)(20, 40)(21, 53)(22, 27)(23, 37)(24, 58)(26, 60)(29, 31)(30, 38)(32,
64)(35, 70)(36, 61)(41, 63)(42, 79)(44, 50)(46, 85)(47, 49)(48, 82)(51, 81)(54,
59)(55, 74)(56, 67)(57, 66)(62, 102)(69, 105)(71, 110)(72, 93)(73, 116)(75,
108)(76, 121)(77, 103)(80, 87)(84, 129)(86, 133)(89, 112)(90, 109)(91, 131)(92,
115)(95, 122)(96, 117)(97, 107)(98, 147)(99, 104)(100, 120)(101, 119)(106,
123)(111, 137)(113, 157)(118, 151)(124, 130)(126, 171)(127, 142)(128, 145)(132,
135)(136, 160)(139, 182)(140, 175)(141, 144)(143, 177)(146, 176)(148, 150)(149,
168)(152, 201)(153, 203)(154, 207)(155, 211)(156, 206)(158, 216)(159, 219)(161,
209)(162, 218)(163, 197)(164, 192)(165, 212)(166, 205)(167, 228)(169, 214)(170,
202)(173, 188)(174, 191)(178, 204)(179, 217)(180, 238)(183, 221)(184, 220)(186,
233)(187, 208)(189, 245)(190, 193)(194, 225)(195, 215)(196, 241)(198, 229)(199,
213)(200, 260)(210, 231)(222, 255)(223, 249)(224, 227)(226, 264)(230, 263)(232,
246)(234, 240)(235, 236)(237, 268)(239, 242)(243, 252)(244, 248)(247, 250)(251,
267)(253, 256)(254, 266)(257, 275)(258, 259)(261, 262)(265, 274)(269, 270)(271,
279)(272, 281)(273, 282)(276, 278)(277, 286)(280, 285)(283, 288)(284, 287)
C4[ 288, 101 ]
288
-1 286 2 277 5
-2 1 14 6 229
-3 287 15 7 284
-4 242 246 16 8
-5 198 1 34 17
-6 2 35 25 18
-7 167 3 36 19
-8 4 37 169 20
-9 213 17 21 65
-10 22 244 38 184
-11 12 232 39 239
-12 11 23 214 40
-13 276 24 41 274
-14 2 69 238 42
-15 3 61 228 43
-16 44 4 62 260
-17 45 70 5 9
-18 46 59 71 6
-19 47 60 7 42
-20 48 72 8 30
-21 49 225 73 9
-22 50 74 10 230
-23 12 226 51 75
-24 13 203 52 76
-25 199 6 53 65
-26 68 156 43 54
-27 44 55 28 263
-28 220 27 248 30
-29 56 247 270 64
-30 77 28 261 20
-31 67 269 250 32
-32 78 155 57 31
-33 265 58 278 63
-34 79 180 5 105
-35 36 80 6 106
-36 231 35 7 107
-37 264 81 8 108
-38 103 40 262 10
-39 11 200 102 50
-40 12 38 82 93
-41 165 13 104 83
-42 14 84 19 85
-43 79 15 26 49
-44 16 27 51 109
-45 110 17 85 54
-46 111 79 18 86
-47 112 19 53 87
-48 88 102 113 20
-49 89 80 21 43
-50 22 90 81 39
-51 44 23 91 114
-52 24 58 92 115
-53 25 47 116 194
-54 45 26 117 162
-55 27 93 237 118
-56 166 94 29 119
-57 95 161 32 120
-58 33 121 52 153
-59 60 18 96 218
-60 68 59 19 206
-61 210 15 70 97
-62 16 82 98 241
-63 33 99 212 83
-64 66 78 211 29
-65 25 280 9 285
-66 209 100 122 64
-67 101 94 205 31
-68 288 26 60 283
-69 123 14 240 153
-70 123 17 61 87
-71 154 124 18 73
-72 144 125 74 20
-73 155 245 71 21
-74 22 268 72 151
-75 275 23 156 126
-76 24 127 216 152
-77 90 258 150 30
-78 145 128 64 32
-79 34 46 129 43
-80 132 35 49 130
-81 37 114 50 131
-82 88 157 40 62
-83 122 95 41 63
-84 132 158 42 97
-85 45 133 137 42
-86 46 123 134 159
-87 47 124 135 70
-88 48 136 82 160
-89 49 137 161 96
-90 77 126 50 138
-91 51 139 150 162
-92 101 52 140 163
-93 55 125 40 141
-94 56 67 127 142
-95 143 57 83 164
-96 165 89 59 252
-97 166 222 61 84
-98 144 167 62 272
-99 145 168 63 207
-100 66 221 146 169
-101 67 92 170 204
-102 48 147 39 196
-103 38 148 259 109
-104 154 149 128 41
-105 34 234 203 106
-106 133 35 105 204
-107 255 36 205 129
-108 37 257 171 206
-109 44 103 138 171
-110 45 116 130 207
-111 46 112 172 208
-112 209 111 47 117
-113 210 48 118 173
-114 81 191 51 174
-115 52 119 175 197
-116 110 189 211 53
-117 243 112 212 54
-118 55 113 213 273
-119 56 178 202 115
-120 176 57 214 183
-121 58 201 158 142
-122 66 177 192 83
-123 178 69 70 86
-124 179 71 181 87
-125 93 72 182 139
-126 90 180 160 75
-127 146 94 76 164
-128 78 104 215 140
-129 79 135 216 107
-130 110 80 181 217
-131 81 148 182 218
-132 80 84 183 185
-133 134 106 85 219
-134 220 133 184 86
-135 221 129 185 87
-136 88 222 171 186
-137 187 89 172 85
-138 188 90 173 109
-139 189 91 223 125
-140 190 92 224 128
-141 147 191 93 225
-142 121 176 192 94
-143 201 193 226 95
-144 72 194 174 98
-145 99 78 195 175
-146 100 127 227 196
-147 102 281 228 141
-148 266 103 229 131
-149 104 159 197 230
-150 77 198 254 91
-151 199 157 282 74
-152 177 200 76 208
-153 154 58 69 269
-154 71 104 183 153
-155 178 278 73 32
-156 231 26 280 75
-157 231 188 82 151
-158 121 165 179 84
-159 232 149 161 86
-160 88 233 255 126
-161 89 166 57 159
-162 167 91 234 54
-163 168 92 235 259
-164 256 236 127 95
-165 158 247 41 96
-166 56 161 97 274
-167 286 7 162 98
-168 99 163 219 263
-169 100 244 237 8
-170 101 195 217 262
-171 136 238 108 109
-172 242 111 137 239
-173 113 223 138 240
-174 144 243 114 186
-175 145 115 193 227
-176 224 120 142 241
-177 264 122 190 152
-178 187 155 123 119
-179 242 124 158 202
-180 34 199 243 126
-181 244 124 248 130
-182 245 125 249 131
-183 132 154 184 120
-184 134 183 260 10
-185 132 232 135 246
-186 265 136 247 174
-187 178 201 137 248
-188 157 234 138 249
-189 231 116 139 250
-190 177 266 140 251
-191 233 114 141 252
-192 253 122 235 142
-193 143 254 267 175
-194 198 144 255 53
-195 145 256 170 237
-196 102 146 257 262
-197 115 236 258 149
-198 287 5 150 194
-199 25 180 151 283
-200 220 39 259 152
-201 121 143 187 260
-202 179 215 261 119
-203 24 105 270 207
-204 101 211 106 208
-205 209 67 265 107
-206 210 60 108 285
-207 99 110 221 203
-208 111 244 204 152
-209 66 112 205 219
-210 113 245 61 206
-211 276 116 204 64
-212 117 216 63 250
-213 288 238 118 9
-214 12 268 248 120
-215 253 202 268 128
-216 212 129 217 76
-217 170 216 239 130
-218 59 228 240 131
-219 209 133 168 246
-220 221 134 200 28
-221 220 100 135 207
-222 136 225 269 97
-223 278 270 139 173
-224 176 271 282 140
-225 222 141 229 21
-226 143 23 272 230
-227 146 279 273 175
-228 277 15 147 218
-229 2 148 225 284
-230 22 242 149 226
-231 156 189 36 157
-232 11 159 261 185
-233 191 160 250 274
-234 188 265 105 162
-235 267 257 192 163
-236 275 251 164 197
-237 55 266 169 195
-238 14 213 171 252
-239 11 172 217 263
-240 69 173 218 274
-241 176 275 62 261
-242 179 4 172 230
-243 276 180 117 174
-244 169 181 10 208
-245 210 247 182 73
-246 4 185 262 219
-247 165 245 29 186
-248 187 181 214 28
-249 188 276 269 182
-250 189 233 212 31
-251 277 190 236 283
-252 278 191 238 96
-253 279 192 215 272
-254 268 280 193 150
-255 160 270 194 107
-256 281 271 195 164
-257 235 108 196 284
-258 77 260 282 197
-259 200 103 163 273
-260 201 16 258 184
-261 232 202 30 241
-262 246 38 170 196
-263 264 168 27 239
-264 177 37 281 263
-265 33 234 205 186
-266 190 148 237 285
-267 286 288 235 193
-268 254 214 215 74
-269 222 249 31 153
-270 255 223 203 29
-271 256 224 280 284
-272 253 226 283 98
-273 277 259 227 118
-274 166 13 233 240
-275 287 236 75 241
-276 243 13 211 249
-277 1 228 251 273
-278 33 155 223 252
-279 253 287 227 285
-280 254 156 271 65
-281 264 288 256 147
-282 286 224 258 151
-283 199 68 272 251
-284 3 257 271 229
-285 266 279 206 65
-286 1 167 267 282
-287 198 275 3 279
-288 68 267 213 281
0