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