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