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