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