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