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