Graph forms
for C4 [ 290, 3 ] = C_290(1,59)
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On this page are computer-accessible forms for the graph C4[ 290, 3 ] =
C_290(1,59).
(I) Following is a form readable by MAGMA:
g:=Graph<290|{ {2, 3}, {288, 289}, {286, 287}, {284, 285}, {282, 283}, {280,
281}, {278, 279}, {276, 277}, {274, 275}, {272, 273}, {270, 271}, {268, 269},
{266, 267}, {264, 265}, {262, 263}, {260, 261}, {258, 259}, {256, 257}, {254,
255}, {252, 253}, {250, 251}, {248, 249}, {246, 247}, {244, 245}, {242, 243},
{240, 241}, {238, 239}, {236, 237}, {234, 235}, {232, 233}, {230, 231}, {228,
229}, {226, 227}, {224, 225}, {222, 223}, {220, 221}, {218, 219}, {216, 217},
{214, 215}, {212, 213}, {210, 211}, {208, 209}, {206, 207}, {204, 205}, {202,
203}, {200, 201}, {198, 199}, {108, 109}, {106, 107}, {104, 105}, {102, 103},
{100, 101}, {98, 99}, {96, 97}, {94, 95}, {92, 93}, {90, 91}, {88, 89}, {86,
87}, {84, 85}, {82, 83}, {80, 81}, {78, 79}, {76, 77}, {74, 75}, {72, 73}, {70,
71}, {68, 69}, {66, 67}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {4, 5}, {6, 7},
{8, 9}, {10, 11}, {12, 13}, {14, 15}, {16, 17}, {18, 19}, {20, 21}, {22, 23},
{24, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 33}, {34, 35}, {36, 37}, {38, 39},
{40, 41}, {42, 43}, {44, 45}, {46, 47}, {48, 49}, {50, 51}, {52, 53}, {54, 55},
{56, 57}, {110, 111}, {112, 113}, {114, 115}, {116, 117}, {118, 119}, {120,
121}, {122, 123}, {124, 125}, {126, 127}, {128, 129}, {130, 131}, {132, 133},
{134, 135}, {136, 137}, {138, 139}, {140, 141}, {142, 143}, {144, 145}, {146,
147}, {148, 149}, {150, 151}, {152, 153}, {154, 155}, {156, 157}, {158, 159},
{160, 161}, {162, 163}, {164, 165}, {166, 167}, {168, 169}, {170, 171}, {172,
173}, {174, 175}, {176, 177}, {178, 179}, {180, 181}, {182, 183}, {184, 185},
{186, 187}, {188, 189}, {190, 191}, {192, 193}, {194, 195}, {196, 197}, {1, 2},
{289, 290}, {285, 286}, {281, 282}, {277, 278}, {273, 274}, {269, 270}, {265,
266}, {261, 262}, {257, 258}, {253, 254}, {249, 250}, {245, 246}, {241, 242},
{237, 238}, {233, 234}, {229, 230}, {225, 226}, {221, 222}, {217, 218}, {213,
214}, {209, 210}, {205, 206}, {201, 202}, {105, 106}, {101, 102}, {97, 98}, {93,
94}, {89, 90}, {85, 86}, {81, 82}, {77, 78}, {73, 74}, {69, 70}, {65, 66}, {61,
62}, {57, 58}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29,
30}, {33, 34}, {37, 38}, {41, 42}, {45, 46}, {49, 50}, {53, 54}, {109, 110},
{113, 114}, {117, 118}, {121, 122}, {125, 126}, {129, 130}, {133, 134}, {137,
138}, {141, 142}, {145, 146}, {149, 150}, {153, 154}, {157, 158}, {161, 162},
{165, 166}, {169, 170}, {173, 174}, {177, 178}, {181, 182}, {185, 186}, {189,
190}, {193, 194}, {197, 198}, {3, 4}, {283, 284}, {275, 276}, {267, 268}, {259,
260}, {251, 252}, {243, 244}, {235, 236}, {227, 228}, {219, 220}, {211, 212},
{203, 204}, {107, 108}, {99, 100}, {91, 92}, {83, 84}, {75, 76}, {67, 68}, {59,
60}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43, 44}, {51, 52}, {115, 116},
{123, 124}, {131, 132}, {139, 140}, {147, 148}, {155, 156}, {163, 164}, {171,
172}, {179, 180}, {187, 188}, {195, 196}, {7, 8}, {279, 280}, {263, 264}, {247,
248}, {231, 232}, {215, 216}, {199, 200}, {103, 104}, {87, 88}, {71, 72}, {23,
24}, {39, 40}, {55, 56}, {119, 120}, {135, 136}, {151, 152}, {167, 168}, {183,
184}, {15, 16}, {271, 272}, {239, 240}, {207, 208}, {79, 80}, {47, 48}, {111,
112}, {143, 144}, {175, 176}, {4, 63}, {68, 127}, {64, 123}, {128, 187}, {132,
191}, {192, 251}, {196, 255}, {1, 60}, {67, 126}, {65, 124}, {3, 62}, {129,
188}, {131, 190}, {193, 252}, {195, 254}, {2, 61}, {287, 288}, {223, 224}, {95,
96}, {66, 125}, {31, 32}, {130, 189}, {159, 160}, {194, 253}, {5, 64}, {63,
122}, {61, 120}, {7, 66}, {13, 72}, {15, 74}, {21, 80}, {23, 82}, {29, 88}, {31,
90}, {37, 96}, {39, 98}, {45, 104}, {47, 106}, {53, 112}, {55, 114}, {133, 192},
{135, 194}, {141, 200}, {143, 202}, {149, 208}, {151, 210}, {157, 216}, {159,
218}, {165, 224}, {167, 226}, {173, 232}, {175, 234}, {181, 240}, {183, 242},
{189, 248}, {191, 250}, {6, 65}, {62, 121}, {14, 73}, {22, 81}, {30, 89}, {38,
97}, {46, 105}, {54, 113}, {134, 193}, {142, 201}, {150, 209}, {158, 217}, {166,
225}, {174, 233}, {182, 241}, {190, 249}, {8, 67}, {60, 119}, {56, 115}, {12,
71}, {24, 83}, {28, 87}, {40, 99}, {44, 103}, {136, 195}, {140, 199}, {152,
211}, {156, 215}, {168, 227}, {172, 231}, {184, 243}, {188, 247}, {9, 68}, {59,
118}, {57, 116}, {11, 70}, {25, 84}, {27, 86}, {41, 100}, {43, 102}, {137, 196},
{139, 198}, {153, 212}, {155, 214}, {169, 228}, {171, 230}, {185, 244}, {187,
246}, {10, 69}, {58, 117}, {26, 85}, {42, 101}, {138, 197}, {154, 213}, {170,
229}, {186, 245}, {16, 75}, {20, 79}, {48, 107}, {52, 111}, {144, 203}, {148,
207}, {176, 235}, {180, 239}, {17, 76}, {19, 78}, {49, 108}, {51, 110}, {145,
204}, {147, 206}, {177, 236}, {179, 238}, {18, 77}, {50, 109}, {146, 205}, {178,
237}, {32, 91}, {36, 95}, {160, 219}, {164, 223}, {33, 92}, {35, 94}, {161,
220}, {163, 222}, {34, 93}, {63, 64}, {162, 221}, {191, 192}, {69, 128}, {103,
162}, {101, 160}, {95, 154}, {93, 152}, {87, 146}, {85, 144}, {79, 138}, {77,
136}, {71, 130}, {109, 168}, {111, 170}, {117, 176}, {119, 178}, {125, 184},
{127, 186}, {70, 129}, {102, 161}, {94, 153}, {86, 145}, {78, 137}, {110, 169},
{118, 177}, {126, 185}, {72, 131}, {108, 167}, {104, 163}, {92, 151}, {88, 147},
{76, 135}, {120, 179}, {124, 183}, {73, 132}, {107, 166}, {105, 164}, {91, 150},
{89, 148}, {75, 134}, {121, 180}, {123, 182}, {74, 133}, {106, 165}, {90, 149},
{122, 181}, {80, 139}, {84, 143}, {112, 171}, {116, 175}, {81, 140}, {83, 142},
{113, 172}, {115, 174}, {82, 141}, {114, 173}, {8, 239}, {16, 247}, {24, 255},
{1, 232}, {3, 234}, {5, 236}, {7, 238}, {17, 248}, {19, 250}, {21, 252}, {23,
254}, {2, 233}, {6, 237}, {18, 249}, {22, 253}, {4, 235}, {20, 251}, {9, 240},
{11, 242}, {13, 244}, {15, 246}, {10, 241}, {100, 159}, {96, 155}, {14, 245},
{97, 156}, {99, 158}, {12, 243}, {98, 157}, {127, 128}, {25, 256}, {59, 290},
{57, 288}, {27, 258}, {29, 260}, {31, 262}, {26, 257}, {58, 289}, {30, 261},
{28, 259}, {1, 290}, {32, 263}, {56, 287}, {40, 271}, {48, 279}, {33, 264}, {35,
266}, {37, 268}, {39, 270}, {49, 280}, {51, 282}, {53, 284}, {55, 286}, {34,
265}, {38, 269}, {50, 281}, {54, 285}, {36, 267}, {52, 283}, {41, 272}, {43,
274}, {45, 276}, {47, 278}, {42, 273}, {46, 277}, {44, 275}, {197, 256}, {231,
290}, {229, 288}, {223, 282}, {221, 280}, {215, 274}, {213, 272}, {207, 266},
{205, 264}, {199, 258}, {198, 257}, {230, 289}, {222, 281}, {214, 273}, {206,
265}, {200, 259}, {220, 279}, {216, 275}, {204, 263}, {201, 260}, {219, 278},
{217, 276}, {203, 262}, {202, 261}, {218, 277}, {208, 267}, {212, 271}, {209,
268}, {211, 270}, {210, 269}, {224, 283}, {228, 287}, {225, 284}, {227, 286},
{226, 285}, {255, 256} }>;
(II) A more general form is to represent the graph as the orbit of {2, 3}
under the group generated by the following permutations:
a: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21,
22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41,
42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61,
62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81,
82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100,
101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116,
117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132,
133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148,
149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164,
165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180,
181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196,
197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212,
213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228,
229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244,
245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260,
261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276,
277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290) (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, 232)(3, 173)(4, 114)(5, 55)(6, 286)(7, 227)(8, 168)(9, 109)(10, 50)(11,
281)(12, 222)(13, 163)(14, 104)(15, 45)(16, 276)(17, 217)(18, 158)(19, 99)(20,
40)(21, 271)(22, 212)(23, 153)(24, 94)(25, 35)(26, 266)(27, 207)(28, 148)(29,
89)(31, 261)(32, 202)(33, 143)(34, 84)(36, 256)(37, 197)(38, 138)(39, 79)(41,
251)(42, 192)(43, 133)(44, 74)(46, 246)(47, 187)(48, 128)(49, 69)(51, 241)(52,
182)(53, 123)(54, 64)(56, 236)(57, 177)(58, 118)(60, 290)(61, 231)(62, 172)(63,
113)(65, 285)(66, 226)(67, 167)(68, 108)(70, 280)(71, 221)(72, 162)(73, 103)(75,
275)(76, 216)(77, 157)(78, 98)(80, 270)(81, 211)(82, 152)(83, 93)(85, 265)(86,
206)(87, 147)(90, 260)(91, 201)(92, 142)(95, 255)(96, 196)(97, 137)(100,
250)(101, 191)(102, 132)(105, 245)(106, 186)(107, 127)(110, 240)(111, 181)(112,
122)(115, 235)(116, 176)(119, 289)(120, 230)(121, 171)(124, 284)(125, 225)(126,
166)(129, 279)(130, 220)(131, 161)(134, 274)(135, 215)(136, 156)(139, 269)(140,
210)(141, 151)(144, 264)(145, 205)(149, 259)(150, 200)(154, 254)(155, 195)(159,
249)(160, 190)(164, 244)(165, 185)(169, 239)(170, 180)(174, 234)(178, 288)(179,
229)(183, 283)(184, 224)(188, 278)(189, 219)(193, 273)(194, 214)(198, 268)(199,
209)(203, 263)(208, 258)(213, 253)(218, 248)(223, 243)(228, 238)(237, 287)(242,
282)(247, 277)(252, 272)(257, 267)
c: (2, 60)(3, 119)(4, 178)(5, 237)(7, 65)(8, 124)(9, 183)(10, 242)(12, 70)(13,
129)(14, 188)(15, 247)(17, 75)(18, 134)(19, 193)(20, 252)(22, 80)(23, 139)(24,
198)(25, 257)(27, 85)(28, 144)(29, 203)(30, 262)(32, 90)(33, 149)(34, 208)(35,
267)(37, 95)(38, 154)(39, 213)(40, 272)(42, 100)(43, 159)(44, 218)(45, 277)(47,
105)(48, 164)(49, 223)(50, 282)(52, 110)(53, 169)(54, 228)(55, 287)(57, 115)(58,
174)(59, 233)(62, 120)(63, 179)(64, 238)(67, 125)(68, 184)(69, 243)(72, 130)(73,
189)(74, 248)(77, 135)(78, 194)(79, 253)(82, 140)(83, 199)(84, 258)(87, 145)(88,
204)(89, 263)(92, 150)(93, 209)(94, 268)(97, 155)(98, 214)(99, 273)(102,
160)(103, 219)(104, 278)(107, 165)(108, 224)(109, 283)(112, 170)(113, 229)(114,
288)(117, 175)(118, 234)(122, 180)(123, 239)(127, 185)(128, 244)(132, 190)(133,
249)(137, 195)(138, 254)(142, 200)(143, 259)(147, 205)(148, 264)(152, 210)(153,
269)(157, 215)(158, 274)(162, 220)(163, 279)(167, 225)(168, 284)(172, 230)(173,
289)(177, 235)(182, 240)(187, 245)(192, 250)(197, 255)(202, 260)(207, 265)(212,
270)(217, 275)(222, 280)(227, 285)(232, 290)
C4[ 290, 3 ]
290
-1 232 2 290 60
-2 1 233 3 61
-3 2 234 4 62
-4 3 235 5 63
-5 4 236 6 64
-6 5 237 7 65
-7 66 6 238 8
-8 67 7 239 9
-9 68 8 240 10
-10 11 69 9 241
-11 242 12 70 10
-12 11 243 13 71
-13 12 244 14 72
-14 13 245 15 73
-15 14 246 16 74
-16 15 247 17 75
-17 16 248 18 76
-18 77 17 249 19
-19 78 18 250 20
-20 79 19 251 21
-21 22 80 20 252
-22 253 23 81 21
-23 22 254 24 82
-24 23 255 25 83
-25 24 256 26 84
-26 25 257 27 85
-27 26 258 28 86
-28 27 259 29 87
-29 88 28 260 30
-30 89 29 261 31
-31 90 30 262 32
-32 33 91 31 263
-33 264 34 92 32
-34 33 265 35 93
-35 34 266 36 94
-36 35 267 37 95
-37 36 268 38 96
-38 37 269 39 97
-39 38 270 40 98
-40 99 39 271 41
-41 100 40 272 42
-42 101 41 273 43
-43 44 102 42 274
-44 275 45 103 43
-45 44 276 46 104
-46 45 277 47 105
-47 46 278 48 106
-48 47 279 49 107
-49 48 280 50 108
-50 49 281 51 109
-51 110 50 282 52
-52 111 51 283 53
-53 112 52 284 54
-54 55 113 53 285
-55 286 56 114 54
-56 55 287 57 115
-57 56 288 58 116
-58 57 289 59 117
-59 58 290 60 118
-60 1 59 61 119
-61 2 60 62 120
-62 121 3 61 63
-63 122 4 62 64
-64 123 5 63 65
-65 66 124 6 64
-66 67 125 7 65
-67 66 68 126 8
-68 67 69 127 9
-69 68 70 128 10
-70 11 69 71 129
-71 12 70 72 130
-72 13 71 73 131
-73 132 14 72 74
-74 133 15 73 75
-75 134 16 74 76
-76 77 135 17 75
-77 78 136 18 76
-78 77 79 137 19
-79 78 80 138 20
-80 79 81 139 21
-81 22 80 82 140
-82 23 81 83 141
-83 24 82 84 142
-84 143 25 83 85
-85 144 26 84 86
-86 145 27 85 87
-87 88 146 28 86
-88 89 147 29 87
-89 88 90 148 30
-90 89 91 149 31
-91 90 92 150 32
-92 33 91 93 151
-93 34 92 94 152
-94 35 93 95 153
-95 154 36 94 96
-96 155 37 95 97
-97 156 38 96 98
-98 99 157 39 97
-99 100 158 40 98
-100 99 101 159 41
-101 100 102 160 42
-102 101 103 161 43
-103 44 102 104 162
-104 45 103 105 163
-105 46 104 106 164
-106 165 47 105 107
-107 166 48 106 108
-108 167 49 107 109
-109 110 168 50 108
-110 111 169 51 109
-111 110 112 170 52
-112 111 113 171 53
-113 112 114 172 54
-114 55 113 115 173
-115 56 114 116 174
-116 57 115 117 175
-117 176 58 116 118
-118 177 59 117 119
-119 178 60 118 120
-120 121 179 61 119
-121 122 180 62 120
-122 121 123 181 63
-123 122 124 182 64
-124 123 125 183 65
-125 66 124 126 184
-126 67 125 127 185
-127 68 126 128 186
-128 187 69 127 129
-129 188 70 128 130
-130 189 71 129 131
-131 132 190 72 130
-132 133 191 73 131
-133 132 134 192 74
-134 133 135 193 75
-135 134 136 194 76
-136 77 135 137 195
-137 78 136 138 196
-138 79 137 139 197
-139 198 80 138 140
-140 199 81 139 141
-141 200 82 140 142
-142 143 201 83 141
-143 144 202 84 142
-144 143 145 203 85
-145 144 146 204 86
-146 145 147 205 87
-147 88 146 148 206
-148 89 147 149 207
-149 90 148 150 208
-150 209 91 149 151
-151 210 92 150 152
-152 211 93 151 153
-153 154 212 94 152
-154 155 213 95 153
-155 154 156 214 96
-156 155 157 215 97
-157 156 158 216 98
-158 99 157 159 217
-159 100 158 160 218
-160 101 159 161 219
-161 220 102 160 162
-162 221 103 161 163
-163 222 104 162 164
-164 165 223 105 163
-165 166 224 106 164
-166 165 167 225 107
-167 166 168 226 108
-168 167 169 227 109
-169 110 168 170 228
-170 111 169 171 229
-171 112 170 172 230
-172 231 113 171 173
-173 232 114 172 174
-174 233 115 173 175
-175 176 234 116 174
-176 177 235 117 175
-177 176 178 236 118
-178 177 179 237 119
-179 178 180 238 120
-180 121 179 181 239
-181 122 180 182 240
-182 123 181 183 241
-183 242 124 182 184
-184 243 125 183 185
-185 244 126 184 186
-186 187 245 127 185
-187 188 246 128 186
-188 187 189 247 129
-189 188 190 248 130
-190 189 191 249 131
-191 132 190 192 250
-192 133 191 193 251
-193 134 192 194 252
-194 253 135 193 195
-195 254 136 194 196
-196 255 137 195 197
-197 198 256 138 196
-198 199 257 139 197
-199 198 200 258 140
-200 199 201 259 141
-201 200 202 260 142
-202 143 201 203 261
-203 144 202 204 262
-204 145 203 205 263
-205 264 146 204 206
-206 265 147 205 207
-207 266 148 206 208
-208 209 267 149 207
-209 210 268 150 208
-210 209 211 269 151
-211 210 212 270 152
-212 211 213 271 153
-213 154 212 214 272
-214 155 213 215 273
-215 156 214 216 274
-216 275 157 215 217
-217 276 158 216 218
-218 277 159 217 219
-219 220 278 160 218
-220 221 279 161 219
-221 220 222 280 162
-222 221 223 281 163
-223 222 224 282 164
-224 165 223 225 283
-225 166 224 226 284
-226 167 225 227 285
-227 286 168 226 228
-228 287 169 227 229
-229 288 170 228 230
-230 231 289 171 229
-231 232 290 172 230
-232 231 1 233 173
-233 232 2 234 174
-234 233 3 235 175
-235 176 234 4 236
-236 177 235 5 237
-237 178 236 6 238
-238 179 237 7 239
-239 180 238 8 240
-240 181 239 9 241
-241 242 182 240 10
-242 11 243 183 241
-243 242 12 244 184
-244 243 13 245 185
-245 244 14 246 186
-246 187 245 15 247
-247 188 246 16 248
-248 189 247 17 249
-249 190 248 18 250
-250 191 249 19 251
-251 192 250 20 252
-252 253 193 251 21
-253 22 254 194 252
-254 253 23 255 195
-255 254 24 256 196
-256 255 25 257 197
-257 198 256 26 258
-258 199 257 27 259
-259 200 258 28 260
-260 201 259 29 261
-261 202 260 30 262
-262 203 261 31 263
-263 264 204 262 32
-264 33 265 205 263
-265 264 34 266 206
-266 265 35 267 207
-267 266 36 268 208
-268 209 267 37 269
-269 210 268 38 270
-270 211 269 39 271
-271 212 270 40 272
-272 213 271 41 273
-273 214 272 42 274
-274 275 215 273 43
-275 44 276 216 274
-276 275 45 277 217
-277 276 46 278 218
-278 277 47 279 219
-279 220 278 48 280
-280 221 279 49 281
-281 222 280 50 282
-282 223 281 51 283
-283 224 282 52 284
-284 225 283 53 285
-285 286 226 284 54
-286 55 287 227 285
-287 286 56 288 228
-288 287 57 289 229
-289 288 58 290 230
-290 231 1 289 59
0