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