Graph forms
for C4 [ 280, 2 ] = C_280(1,29)
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On this page are computer-accessible forms for the graph C4[ 280, 2 ] =
C_280(1,29).
(I) Following is a form readable by MAGMA:
g:=Graph<280|{ {2, 3}, {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}, {118, 119},
{116, 117}, {114, 115}, {112, 113}, {110, 111}, {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}, {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}, {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}, {1, 2}, {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}, {117,
118}, {113, 114}, {109, 110}, {105, 106}, {101, 102}, {97, 98}, {93, 94}, {89,
90}, {85, 86}, {81, 82}, {77, 78}, {73, 74}, {69, 70}, {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}, {57, 58}, {61, 62}, {65, 66}, {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}, {201, 202}, {205,
206}, {3, 4}, {275, 276}, {267, 268}, {259, 260}, {251, 252}, {243, 244}, {235,
236}, {227, 228}, {219, 220}, {211, 212}, {115, 116}, {107, 108}, {99, 100},
{91, 92}, {83, 84}, {75, 76}, {67, 68}, {11, 12}, {19, 20}, {27, 28}, {35, 36},
{43, 44}, {51, 52}, {59, 60}, {123, 124}, {131, 132}, {139, 140}, {147, 148},
{155, 156}, {163, 164}, {171, 172}, {179, 180}, {187, 188}, {195, 196}, {203,
204}, {7, 8}, {279, 280}, {263, 264}, {247, 248}, {231, 232}, {215, 216}, {119,
120}, {103, 104}, {87, 88}, {71, 72}, {23, 24}, {39, 40}, {55, 56}, {135, 136},
{151, 152}, {167, 168}, {183, 184}, {199, 200}, {2, 31}, {226, 255}, {224, 253},
{98, 127}, {96, 125}, {32, 61}, {34, 63}, {64, 93}, {66, 95}, {128, 157}, {130,
159}, {160, 189}, {162, 191}, {192, 221}, {194, 223}, {1, 30}, {271, 272}, {239,
240}, {225, 254}, {111, 112}, {97, 126}, {79, 80}, {15, 16}, {33, 62}, {47, 48},
{65, 94}, {129, 158}, {143, 144}, {161, 190}, {175, 176}, {193, 222}, {207,
208}, {3, 32}, {223, 252}, {219, 248}, {215, 244}, {211, 240}, {95, 124}, {91,
120}, {87, 116}, {83, 112}, {79, 108}, {75, 104}, {71, 100}, {67, 96}, {7, 36},
{11, 40}, {15, 44}, {19, 48}, {23, 52}, {27, 56}, {31, 60}, {131, 160}, {135,
164}, {139, 168}, {143, 172}, {147, 176}, {151, 180}, {155, 184}, {159, 188},
{195, 224}, {199, 228}, {203, 232}, {207, 236}, {4, 33}, {222, 251}, {220, 249},
{214, 243}, {212, 241}, {94, 123}, {92, 121}, {86, 115}, {84, 113}, {78, 107},
{76, 105}, {70, 99}, {68, 97}, {6, 35}, {12, 41}, {14, 43}, {20, 49}, {22, 51},
{28, 57}, {30, 59}, {132, 161}, {134, 163}, {140, 169}, {142, 171}, {148, 177},
{150, 179}, {156, 185}, {158, 187}, {196, 225}, {198, 227}, {204, 233}, {206,
235}, {5, 34}, {221, 250}, {213, 242}, {93, 122}, {85, 114}, {77, 106}, {69,
98}, {13, 42}, {21, 50}, {29, 58}, {133, 162}, {141, 170}, {149, 178}, {157,
186}, {197, 226}, {205, 234}, {8, 37}, {218, 247}, {216, 245}, {90, 119}, {88,
117}, {74, 103}, {72, 101}, {10, 39}, {24, 53}, {26, 55}, {136, 165}, {138,
167}, {152, 181}, {154, 183}, {200, 229}, {202, 231}, {9, 38}, {217, 246}, {89,
118}, {73, 102}, {25, 54}, {137, 166}, {153, 182}, {201, 230}, {16, 45}, {210,
239}, {208, 237}, {82, 111}, {80, 109}, {18, 47}, {144, 173}, {146, 175}, {17,
46}, {223, 224}, {209, 238}, {95, 96}, {81, 110}, {31, 32}, {145, 174}, {159,
160}, {35, 64}, {39, 68}, {43, 72}, {47, 76}, {51, 80}, {55, 84}, {59, 88}, {63,
92}, {163, 192}, {167, 196}, {171, 200}, {175, 204}, {179, 208}, {183, 212},
{187, 216}, {191, 220}, {36, 65}, {38, 67}, {44, 73}, {46, 75}, {52, 81}, {54,
83}, {60, 89}, {62, 91}, {164, 193}, {166, 195}, {172, 201}, {174, 203}, {180,
209}, {182, 211}, {188, 217}, {190, 219}, {37, 66}, {45, 74}, {53, 82}, {61,
90}, {165, 194}, {173, 202}, {181, 210}, {189, 218}, {40, 69}, {42, 71}, {56,
85}, {58, 87}, {168, 197}, {170, 199}, {184, 213}, {186, 215}, {41, 70}, {57,
86}, {169, 198}, {185, 214}, {48, 77}, {50, 79}, {176, 205}, {178, 207}, {49,
78}, {63, 64}, {177, 206}, {191, 192}, {99, 128}, {115, 144}, {111, 140}, {107,
136}, {103, 132}, {119, 148}, {123, 152}, {127, 156}, {100, 129}, {118, 147},
{116, 145}, {110, 139}, {108, 137}, {102, 131}, {124, 153}, {126, 155}, {101,
130}, {117, 146}, {109, 138}, {125, 154}, {104, 133}, {106, 135}, {120, 149},
{122, 151}, {105, 134}, {121, 150}, {4, 255}, {1, 252}, {114, 143}, {112, 141},
{3, 254}, {2, 253}, {113, 142}, {127, 128}, {5, 256}, {7, 258}, {13, 264}, {15,
266}, {21, 272}, {23, 274}, {29, 280}, {6, 257}, {14, 265}, {22, 273}, {8, 259},
{12, 263}, {24, 275}, {28, 279}, {9, 260}, {11, 262}, {25, 276}, {27, 278}, {10,
261}, {26, 277}, {1, 280}, {16, 267}, {20, 271}, {17, 268}, {19, 270}, {18,
269}, {227, 256}, {251, 280}, {247, 276}, {243, 272}, {239, 268}, {235, 264},
{231, 260}, {228, 257}, {246, 275}, {244, 273}, {238, 267}, {236, 265}, {230,
259}, {229, 258}, {245, 274}, {237, 266}, {232, 261}, {250, 279}, {248, 277},
{234, 263}, {233, 262}, {249, 278}, {240, 269}, {242, 271}, {241, 270}, {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) (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, 252)(3, 223)(4, 194)(5, 165)(6, 136)(7, 107)(8, 78)(9, 49)(10, 20)(11,
271)(12, 242)(13, 213)(14, 184)(15, 155)(16, 126)(17, 97)(18, 68)(19, 39)(21,
261)(22, 232)(23, 203)(24, 174)(25, 145)(26, 116)(27, 87)(28, 58)(30, 280)(31,
251)(32, 222)(33, 193)(34, 164)(35, 135)(36, 106)(37, 77)(38, 48)(40, 270)(41,
241)(42, 212)(43, 183)(44, 154)(45, 125)(46, 96)(47, 67)(50, 260)(51, 231)(52,
202)(53, 173)(54, 144)(55, 115)(56, 86)(59, 279)(60, 250)(61, 221)(62, 192)(63,
163)(64, 134)(65, 105)(66, 76)(69, 269)(70, 240)(71, 211)(72, 182)(73, 153)(74,
124)(75, 95)(79, 259)(80, 230)(81, 201)(82, 172)(83, 143)(84, 114)(88, 278)(89,
249)(90, 220)(91, 191)(92, 162)(93, 133)(94, 104)(98, 268)(99, 239)(100,
210)(101, 181)(102, 152)(103, 123)(108, 258)(109, 229)(110, 200)(111, 171)(112,
142)(117, 277)(118, 248)(119, 219)(120, 190)(121, 161)(122, 132)(127, 267)(128,
238)(129, 209)(130, 180)(131, 151)(137, 257)(138, 228)(139, 199)(140, 170)(146,
276)(147, 247)(148, 218)(149, 189)(150, 160)(156, 266)(157, 237)(158, 208)(159,
179)(166, 256)(167, 227)(168, 198)(175, 275)(176, 246)(177, 217)(178, 188)(185,
265)(186, 236)(187, 207)(195, 255)(196, 226)(204, 274)(205, 245)(206, 216)(214,
264)(215, 235)(224, 254)(233, 273)(234, 244)(243, 263)(262, 272)
c: (2, 30)(3, 59)(4, 88)(5, 117)(6, 146)(7, 175)(8, 204)(9, 233)(10, 262)(12,
40)(13, 69)(14, 98)(15, 127)(16, 156)(17, 185)(18, 214)(19, 243)(20, 272)(22,
50)(23, 79)(24, 108)(25, 137)(26, 166)(27, 195)(28, 224)(29, 253)(32, 60)(33,
89)(34, 118)(35, 147)(36, 176)(37, 205)(38, 234)(39, 263)(42, 70)(43, 99)(44,
128)(45, 157)(46, 186)(47, 215)(48, 244)(49, 273)(52, 80)(53, 109)(54, 138)(55,
167)(56, 196)(57, 225)(58, 254)(62, 90)(63, 119)(64, 148)(65, 177)(66, 206)(67,
235)(68, 264)(72, 100)(73, 129)(74, 158)(75, 187)(76, 216)(77, 245)(78, 274)(82,
110)(83, 139)(84, 168)(85, 197)(86, 226)(87, 255)(92, 120)(93, 149)(94, 178)(95,
207)(96, 236)(97, 265)(102, 130)(103, 159)(104, 188)(105, 217)(106, 246)(107,
275)(112, 140)(113, 169)(114, 198)(115, 227)(116, 256)(122, 150)(123, 179)(124,
208)(125, 237)(126, 266)(132, 160)(133, 189)(134, 218)(135, 247)(136, 276)(142,
170)(143, 199)(144, 228)(145, 257)(152, 180)(153, 209)(154, 238)(155, 267)(162,
190)(163, 219)(164, 248)(165, 277)(172, 200)(173, 229)(174, 258)(182, 210)(183,
239)(184, 268)(192, 220)(193, 249)(194, 278)(202, 230)(203, 259)(212, 240)(213,
269)(222, 250)(223, 279)(232, 260)(242, 270)(252, 280)
C4[ 280, 2 ]
280
-1 2 280 30 252
-2 253 1 3 31
-3 254 2 4 32
-4 33 255 3 5
-5 34 256 4 6
-6 35 257 5 7
-7 36 258 6 8
-8 37 259 7 9
-9 38 260 8 10
-10 11 39 261 9
-11 12 40 262 10
-12 11 13 41 263
-13 264 12 14 42
-14 265 13 15 43
-15 44 266 14 16
-16 45 267 15 17
-17 46 268 16 18
-18 47 269 17 19
-19 48 270 18 20
-20 49 271 19 21
-21 22 50 272 20
-22 23 51 273 21
-23 22 24 52 274
-24 275 23 25 53
-25 276 24 26 54
-26 55 277 25 27
-27 56 278 26 28
-28 57 279 27 29
-29 58 280 28 30
-30 1 59 29 31
-31 2 60 30 32
-32 33 3 61 31
-33 34 4 62 32
-34 33 35 5 63
-35 34 36 6 64
-36 35 37 7 65
-37 66 36 38 8
-38 67 37 39 9
-39 68 38 40 10
-40 11 69 39 41
-41 12 70 40 42
-42 13 71 41 43
-43 44 14 72 42
-44 45 15 73 43
-45 44 46 16 74
-46 45 47 17 75
-47 46 48 18 76
-48 77 47 49 19
-49 78 48 50 20
-50 79 49 51 21
-51 22 80 50 52
-52 23 81 51 53
-53 24 82 52 54
-54 55 25 83 53
-55 56 26 84 54
-56 55 57 27 85
-57 56 58 28 86
-58 57 59 29 87
-59 88 58 60 30
-60 89 59 61 31
-61 90 60 62 32
-62 33 91 61 63
-63 34 92 62 64
-64 35 93 63 65
-65 66 36 94 64
-66 67 37 95 65
-67 66 68 38 96
-68 67 69 39 97
-69 68 70 40 98
-70 99 69 71 41
-71 100 70 72 42
-72 101 71 73 43
-73 44 102 72 74
-74 45 103 73 75
-75 46 104 74 76
-76 77 47 105 75
-77 78 48 106 76
-78 77 79 49 107
-79 78 80 50 108
-80 79 81 51 109
-81 110 80 82 52
-82 111 81 83 53
-83 112 82 84 54
-84 55 113 83 85
-85 56 114 84 86
-86 57 115 85 87
-87 88 58 116 86
-88 89 59 117 87
-89 88 90 60 118
-90 89 91 61 119
-91 90 92 62 120
-92 121 91 93 63
-93 122 92 94 64
-94 123 93 95 65
-95 66 124 94 96
-96 67 125 95 97
-97 68 126 96 98
-98 99 69 127 97
-99 100 70 128 98
-100 99 101 71 129
-101 100 102 72 130
-102 101 103 73 131
-103 132 102 104 74
-104 133 103 105 75
-105 134 104 106 76
-106 77 135 105 107
-107 78 136 106 108
-108 79 137 107 109
-109 110 80 138 108
-110 111 81 139 109
-111 110 112 82 140
-112 111 113 83 141
-113 112 114 84 142
-114 143 113 115 85
-115 144 114 116 86
-116 145 115 117 87
-117 88 146 116 118
-118 89 147 117 119
-119 90 148 118 120
-120 121 91 149 119
-121 122 92 150 120
-122 121 123 93 151
-123 122 124 94 152
-124 123 125 95 153
-125 154 124 126 96
-126 155 125 127 97
-127 156 126 128 98
-128 99 157 127 129
-129 100 158 128 130
-130 101 159 129 131
-131 132 102 160 130
-132 133 103 161 131
-133 132 134 104 162
-134 133 135 105 163
-135 134 136 106 164
-136 165 135 137 107
-137 166 136 138 108
-138 167 137 139 109
-139 110 168 138 140
-140 111 169 139 141
-141 112 170 140 142
-142 143 113 171 141
-143 144 114 172 142
-144 143 145 115 173
-145 144 146 116 174
-146 145 147 117 175
-147 176 146 148 118
-148 177 147 149 119
-149 178 148 150 120
-150 121 179 149 151
-151 122 180 150 152
-152 123 181 151 153
-153 154 124 182 152
-154 155 125 183 153
-155 154 156 126 184
-156 155 157 127 185
-157 156 158 128 186
-158 187 157 159 129
-159 188 158 160 130
-160 189 159 161 131
-161 132 190 160 162
-162 133 191 161 163
-163 134 192 162 164
-164 165 135 193 163
-165 166 136 194 164
-166 165 167 137 195
-167 166 168 138 196
-168 167 169 139 197
-169 198 168 170 140
-170 199 169 171 141
-171 200 170 172 142
-172 143 201 171 173
-173 144 202 172 174
-174 145 203 173 175
-175 176 146 204 174
-176 177 147 205 175
-177 176 178 148 206
-178 177 179 149 207
-179 178 180 150 208
-180 209 179 181 151
-181 210 180 182 152
-182 211 181 183 153
-183 154 212 182 184
-184 155 213 183 185
-185 156 214 184 186
-186 187 157 215 185
-187 188 158 216 186
-188 187 189 159 217
-189 188 190 160 218
-190 189 191 161 219
-191 220 190 192 162
-192 221 191 193 163
-193 222 192 194 164
-194 165 223 193 195
-195 166 224 194 196
-196 167 225 195 197
-197 198 168 226 196
-198 199 169 227 197
-199 198 200 170 228
-200 199 201 171 229
-201 200 202 172 230
-202 231 201 203 173
-203 232 202 204 174
-204 233 203 205 175
-205 176 234 204 206
-206 177 235 205 207
-207 178 236 206 208
-208 209 179 237 207
-209 210 180 238 208
-210 209 211 181 239
-211 210 212 182 240
-212 211 213 183 241
-213 242 212 214 184
-214 243 213 215 185
-215 244 214 216 186
-216 187 245 215 217
-217 188 246 216 218
-218 189 247 217 219
-219 220 190 248 218
-220 221 191 249 219
-221 220 222 192 250
-222 221 223 193 251
-223 222 224 194 252
-224 253 223 225 195
-225 254 224 226 196
-226 255 225 227 197
-227 198 256 226 228
-228 199 257 227 229
-229 200 258 228 230
-230 231 201 259 229
-231 232 202 260 230
-232 231 233 203 261
-233 232 234 204 262
-234 233 235 205 263
-235 264 234 236 206
-236 265 235 237 207
-237 266 236 238 208
-238 209 267 237 239
-239 210 268 238 240
-240 211 269 239 241
-241 242 212 270 240
-242 243 213 271 241
-243 242 244 214 272
-244 243 245 215 273
-245 244 246 216 274
-246 275 245 247 217
-247 276 246 248 218
-248 277 247 249 219
-249 220 278 248 250
-250 221 279 249 251
-251 222 280 250 252
-252 253 1 223 251
-253 254 2 224 252
-254 253 255 3 225
-255 254 256 4 226
-256 255 257 5 227
-257 256 258 6 228
-258 257 259 7 229
-259 258 260 8 230
-260 231 259 261 9
-261 232 260 262 10
-262 11 233 261 263
-263 264 12 234 262
-264 265 13 235 263
-265 264 266 14 236
-266 265 267 15 237
-267 266 268 16 238
-268 267 269 17 239
-269 268 270 18 240
-270 269 271 19 241
-271 242 270 272 20
-272 243 271 273 21
-273 22 244 272 274
-274 275 23 245 273
-275 276 24 246 274
-276 275 277 25 247
-277 276 278 26 248
-278 277 279 27 249
-279 278 280 28 250
-280 1 279 29 251
0