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