Graph forms
for C4 [ 291, 1 ] = C_291(1,98)
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On this page are computer-accessible forms for the graph C4[ 291, 1 ] =
C_291(1,98).
(I) Following is a form readable by MAGMA:
g:=Graph<291|{ {2, 3}, {290, 291}, {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}, {196, 197}, {194, 195}, {192, 193},
{190, 191}, {188, 189}, {186, 187}, {184, 185}, {182, 183}, {180, 181}, {178,
179}, {176, 177}, {174, 175}, {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}, {56, 57}, {54, 55}, {52, 53}, {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}, {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},
{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}, {197, 198}, {193, 194}, {189,
190}, {185, 186}, {181, 182}, {177, 178}, {85, 86}, {81, 82}, {77, 78}, {73,
74}, {69, 70}, {65, 66}, {61, 62}, {57, 58}, {53, 54}, {5, 6}, {9, 10}, {13,
14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {41, 42}, {45,
46}, {49, 50}, {89, 90}, {93, 94}, {97, 98}, {101, 102}, {105, 106}, {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}, {3, 4}, {283, 284}, {275, 276}, {267, 268},
{259, 260}, {251, 252}, {243, 244}, {235, 236}, {227, 228}, {219, 220}, {211,
212}, {203, 204}, {195, 196}, {187, 188}, {179, 180}, {83, 84}, {75, 76}, {67,
68}, {59, 60}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43, 44}, {51, 52}, {91,
92}, {99, 100}, {107, 108}, {115, 116}, {123, 124}, {131, 132}, {139, 140},
{147, 148}, {155, 156}, {163, 164}, {171, 172}, {7, 8}, {279, 280}, {263, 264},
{247, 248}, {231, 232}, {215, 216}, {199, 200}, {183, 184}, {87, 88}, {71, 72},
{55, 56}, {23, 24}, {39, 40}, {103, 104}, {119, 120}, {135, 136}, {151, 152},
{167, 168}, {15, 16}, {271, 272}, {239, 240}, {207, 208}, {175, 176}, {79, 80},
{47, 48}, {111, 112}, {143, 144}, {31, 32}, {287, 288}, {223, 224}, {95, 96},
{159, 160}, {1, 99}, {4, 102}, {5, 103}, {8, 106}, {9, 107}, {12, 110}, {13,
111}, {16, 114}, {17, 115}, {20, 118}, {21, 119}, {24, 122}, {25, 123}, {28,
126}, {29, 127}, {128, 226}, {129, 227}, {132, 230}, {133, 231}, {136, 234},
{137, 235}, {140, 238}, {141, 239}, {144, 242}, {145, 243}, {148, 246}, {149,
247}, {152, 250}, {153, 251}, {156, 254}, {157, 255}, {2, 100}, {3, 101}, {10,
108}, {11, 109}, {18, 116}, {19, 117}, {26, 124}, {27, 125}, {130, 228}, {131,
229}, {138, 236}, {139, 237}, {146, 244}, {147, 245}, {154, 252}, {155, 253},
{6, 104}, {7, 105}, {22, 120}, {23, 121}, {134, 232}, {135, 233}, {150, 248},
{151, 249}, {14, 112}, {15, 113}, {142, 240}, {143, 241}, {63, 64}, {191, 192},
{30, 128}, {63, 161}, {62, 160}, {31, 129}, {94, 192}, {95, 193}, {126, 224},
{127, 225}, {32, 130}, {61, 159}, {60, 158}, {57, 155}, {56, 154}, {53, 151},
{52, 150}, {33, 131}, {36, 134}, {37, 135}, {40, 138}, {41, 139}, {44, 142},
{45, 143}, {48, 146}, {49, 147}, {96, 194}, {97, 195}, {100, 198}, {101, 199},
{104, 202}, {105, 203}, {108, 206}, {109, 207}, {112, 210}, {113, 211}, {116,
214}, {117, 215}, {120, 218}, {121, 219}, {124, 222}, {125, 223}, {34, 132},
{59, 157}, {58, 156}, {51, 149}, {35, 133}, {42, 140}, {43, 141}, {50, 148},
{98, 196}, {99, 197}, {106, 204}, {107, 205}, {114, 212}, {115, 213}, {122,
220}, {123, 221}, {38, 136}, {55, 153}, {54, 152}, {39, 137}, {102, 200}, {103,
201}, {118, 216}, {119, 217}, {46, 144}, {47, 145}, {110, 208}, {111, 209}, {2,
195}, {62, 255}, {60, 253}, {58, 251}, {56, 249}, {54, 247}, {52, 245}, {4,
197}, {6, 199}, {8, 201}, {10, 203}, {12, 205}, {14, 207}, {16, 209}, {18, 211},
{20, 213}, {22, 215}, {24, 217}, {26, 219}, {28, 221}, {30, 223}, {32, 225},
{34, 227}, {36, 229}, {38, 231}, {40, 233}, {42, 235}, {44, 237}, {46, 239},
{48, 241}, {50, 243}, {1, 194}, {61, 254}, {57, 250}, {53, 246}, {5, 198}, {9,
202}, {13, 206}, {17, 210}, {21, 214}, {25, 218}, {29, 222}, {33, 226}, {37,
230}, {41, 234}, {45, 238}, {49, 242}, {3, 196}, {59, 252}, {51, 244}, {11,
204}, {19, 212}, {27, 220}, {35, 228}, {43, 236}, {7, 200}, {55, 248}, {23,
216}, {39, 232}, {15, 208}, {47, 240}, {64, 162}, {85, 183}, {84, 182}, {81,
179}, {80, 178}, {77, 175}, {76, 174}, {73, 171}, {72, 170}, {69, 167}, {68,
166}, {65, 163}, {88, 186}, {89, 187}, {92, 190}, {93, 191}, {66, 164}, {83,
181}, {82, 180}, {75, 173}, {74, 172}, {67, 165}, {90, 188}, {91, 189}, {70,
168}, {87, 185}, {86, 184}, {71, 169}, {78, 176}, {79, 177}, {31, 224}, {127,
128}, {1, 291}, {63, 256}, {64, 257}, {86, 279}, {84, 277}, {82, 275}, {80,
273}, {78, 271}, {76, 269}, {74, 267}, {72, 265}, {70, 263}, {68, 261}, {66,
259}, {88, 281}, {90, 283}, {92, 285}, {94, 287}, {96, 289}, {98, 291}, {65,
258}, {85, 278}, {81, 274}, {77, 270}, {73, 266}, {69, 262}, {89, 282}, {93,
286}, {97, 290}, {67, 260}, {83, 276}, {75, 268}, {91, 284}, {71, 264}, {87,
280}, {79, 272}, {95, 288}, {158, 256}, {191, 289}, {190, 288}, {159, 257},
{160, 258}, {189, 287}, {188, 286}, {185, 283}, {184, 282}, {181, 279}, {180,
278}, {177, 275}, {176, 274}, {161, 259}, {164, 262}, {165, 263}, {168, 266},
{169, 267}, {172, 270}, {173, 271}, {162, 260}, {187, 285}, {186, 284}, {179,
277}, {178, 276}, {163, 261}, {170, 268}, {171, 269}, {166, 264}, {183, 281},
{182, 280}, {167, 265}, {174, 272}, {175, 273}, {192, 290}, {193, 291}, {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, 291) (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, 99)(3, 197)(5, 102)(6, 200)(8, 105)(9, 203)(11, 108)(12, 206)(14,
111)(15, 209)(17, 114)(18, 212)(20, 117)(21, 215)(23, 120)(24, 218)(26, 123)(27,
221)(29, 126)(30, 224)(32, 129)(33, 227)(35, 132)(36, 230)(38, 135)(39, 233)(41,
138)(42, 236)(44, 141)(45, 239)(47, 144)(48, 242)(50, 147)(51, 245)(53, 150)(54,
248)(56, 153)(57, 251)(59, 156)(60, 254)(62, 159)(63, 257)(65, 162)(66, 260)(68,
165)(69, 263)(71, 168)(72, 266)(74, 171)(75, 269)(77, 174)(78, 272)(80, 177)(81,
275)(83, 180)(84, 278)(86, 183)(87, 281)(89, 186)(90, 284)(92, 189)(93, 287)(95,
192)(96, 290)(98, 195)(101, 198)(104, 201)(107, 204)(110, 207)(113, 210)(116,
213)(119, 216)(122, 219)(125, 222)(128, 225)(131, 228)(134, 231)(137, 234)(140,
237)(143, 240)(146, 243)(149, 246)(152, 249)(155, 252)(158, 255)(161, 258)(164,
261)(167, 264)(170, 267)(173, 270)(176, 273)(179, 276)(182, 279)(185, 282)(188,
285)(191, 288)(194, 291)
c: (2, 194)(3, 96)(4, 289)(5, 191)(6, 93)(7, 286)(8, 188)(9, 90)(10, 283)(11,
185)(12, 87)(13, 280)(14, 182)(15, 84)(16, 277)(17, 179)(18, 81)(19, 274)(20,
176)(21, 78)(22, 271)(23, 173)(24, 75)(25, 268)(26, 170)(27, 72)(28, 265)(29,
167)(30, 69)(31, 262)(32, 164)(33, 66)(34, 259)(35, 161)(36, 63)(37, 256)(38,
158)(39, 60)(40, 253)(41, 155)(42, 57)(43, 250)(44, 152)(45, 54)(46, 247)(47,
149)(48, 51)(49, 244)(50, 146)(52, 241)(53, 143)(55, 238)(56, 140)(58, 235)(59,
137)(61, 232)(62, 134)(64, 229)(65, 131)(67, 226)(68, 128)(70, 223)(71, 125)(73,
220)(74, 122)(76, 217)(77, 119)(79, 214)(80, 116)(82, 211)(83, 113)(85, 208)(86,
110)(88, 205)(89, 107)(91, 202)(92, 104)(94, 199)(95, 101)(97, 196)(99,
291)(100, 193)(102, 288)(103, 190)(105, 285)(106, 187)(108, 282)(109, 184)(111,
279)(112, 181)(114, 276)(115, 178)(117, 273)(118, 175)(120, 270)(121, 172)(123,
267)(124, 169)(126, 264)(127, 166)(129, 261)(130, 163)(132, 258)(133, 160)(135,
255)(136, 157)(138, 252)(139, 154)(141, 249)(142, 151)(144, 246)(145, 148)(147,
243)(150, 240)(153, 237)(156, 234)(159, 231)(162, 228)(165, 225)(168, 222)(171,
219)(174, 216)(177, 213)(180, 210)(183, 207)(186, 204)(189, 201)(192, 198)(197,
290)(200, 287)(203, 284)(206, 281)(209, 278)(212, 275)(215, 272)(218, 269)(221,
266)(224, 263)(227, 260)(230, 257)(233, 254)(236, 251)(239, 248)(242, 245)
C4[ 291, 1 ]
291
-1 99 2 291 194
-2 1 100 3 195
-3 2 101 4 196
-4 3 102 5 197
-5 198 4 103 6
-6 199 5 104 7
-7 200 6 105 8
-8 201 7 106 9
-9 202 8 107 10
-10 11 203 9 108
-11 12 204 10 109
-12 11 110 13 205
-13 12 111 14 206
-14 13 112 15 207
-15 14 113 16 208
-16 209 15 114 17
-17 210 16 115 18
-18 211 17 116 19
-19 212 18 117 20
-20 213 19 118 21
-21 22 214 20 119
-22 23 215 21 120
-23 22 121 24 216
-24 23 122 25 217
-25 24 123 26 218
-26 25 124 27 219
-27 220 26 125 28
-28 221 27 126 29
-29 222 28 127 30
-30 223 29 128 31
-31 224 30 129 32
-32 33 225 31 130
-33 34 226 32 131
-34 33 132 35 227
-35 34 133 36 228
-36 35 134 37 229
-37 36 135 38 230
-38 231 37 136 39
-39 232 38 137 40
-40 233 39 138 41
-41 234 40 139 42
-42 235 41 140 43
-43 44 236 42 141
-44 45 237 43 142
-45 44 143 46 238
-46 45 144 47 239
-47 46 145 48 240
-48 47 146 49 241
-49 242 48 147 50
-50 243 49 148 51
-51 244 50 149 52
-52 245 51 150 53
-53 246 52 151 54
-54 55 247 53 152
-55 56 248 54 153
-56 55 154 57 249
-57 56 155 58 250
-58 57 156 59 251
-59 58 157 60 252
-60 253 59 158 61
-61 254 60 159 62
-62 255 61 160 63
-63 256 62 161 64
-64 257 63 162 65
-65 66 258 64 163
-66 67 259 65 164
-67 66 165 68 260
-68 67 166 69 261
-69 68 167 70 262
-70 69 168 71 263
-71 264 70 169 72
-72 265 71 170 73
-73 266 72 171 74
-74 267 73 172 75
-75 268 74 173 76
-76 77 269 75 174
-77 78 270 76 175
-78 77 176 79 271
-79 78 177 80 272
-80 79 178 81 273
-81 80 179 82 274
-82 275 81 180 83
-83 276 82 181 84
-84 277 83 182 85
-85 278 84 183 86
-86 279 85 184 87
-87 88 280 86 185
-88 89 281 87 186
-89 88 187 90 282
-90 89 188 91 283
-91 90 189 92 284
-92 91 190 93 285
-93 286 92 191 94
-94 287 93 192 95
-95 288 94 193 96
-96 289 95 194 97
-97 290 96 195 98
-98 99 291 97 196
-99 1 100 98 197
-100 99 198 2 101
-101 100 199 3 102
-102 101 200 4 103
-103 102 201 5 104
-104 103 202 6 105
-105 104 203 7 106
-106 105 204 8 107
-107 106 205 9 108
-108 107 206 10 109
-109 11 110 108 207
-110 12 111 109 208
-111 110 209 13 112
-112 111 210 14 113
-113 112 211 15 114
-114 113 212 16 115
-115 114 213 17 116
-116 115 214 18 117
-117 116 215 19 118
-118 117 216 20 119
-119 118 217 21 120
-120 22 121 119 218
-121 23 122 120 219
-122 121 220 24 123
-123 122 221 25 124
-124 123 222 26 125
-125 124 223 27 126
-126 125 224 28 127
-127 126 225 29 128
-128 127 226 30 129
-129 128 227 31 130
-130 129 228 32 131
-131 33 132 130 229
-132 34 133 131 230
-133 132 231 35 134
-134 133 232 36 135
-135 134 233 37 136
-136 135 234 38 137
-137 136 235 39 138
-138 137 236 40 139
-139 138 237 41 140
-140 139 238 42 141
-141 140 239 43 142
-142 44 143 141 240
-143 45 144 142 241
-144 143 242 46 145
-145 144 243 47 146
-146 145 244 48 147
-147 146 245 49 148
-148 147 246 50 149
-149 148 247 51 150
-150 149 248 52 151
-151 150 249 53 152
-152 151 250 54 153
-153 55 154 152 251
-154 56 155 153 252
-155 154 253 57 156
-156 155 254 58 157
-157 156 255 59 158
-158 157 256 60 159
-159 158 257 61 160
-160 159 258 62 161
-161 160 259 63 162
-162 161 260 64 163
-163 162 261 65 164
-164 66 165 163 262
-165 67 166 164 263
-166 165 264 68 167
-167 166 265 69 168
-168 167 266 70 169
-169 168 267 71 170
-170 169 268 72 171
-171 170 269 73 172
-172 171 270 74 173
-173 172 271 75 174
-174 173 272 76 175
-175 77 176 174 273
-176 78 177 175 274
-177 176 275 79 178
-178 177 276 80 179
-179 178 277 81 180
-180 179 278 82 181
-181 180 279 83 182
-182 181 280 84 183
-183 182 281 85 184
-184 183 282 86 185
-185 184 283 87 186
-186 88 187 185 284
-187 89 188 186 285
-188 187 286 90 189
-189 188 287 91 190
-190 189 288 92 191
-191 190 289 93 192
-192 191 290 94 193
-193 192 291 95 194
-194 1 193 96 195
-195 2 194 97 196
-196 3 195 98 197
-197 99 198 4 196
-198 100 199 5 197
-199 198 101 200 6
-200 199 102 201 7
-201 200 103 202 8
-202 201 104 203 9
-203 202 105 204 10
-204 11 203 106 205
-205 12 204 107 206
-206 13 205 108 207
-207 14 206 109 208
-208 110 209 15 207
-209 111 210 16 208
-210 209 112 211 17
-211 210 113 212 18
-212 211 114 213 19
-213 212 115 214 20
-214 213 116 215 21
-215 22 214 117 216
-216 23 215 118 217
-217 24 216 119 218
-218 25 217 120 219
-219 121 220 26 218
-220 122 221 27 219
-221 220 123 222 28
-222 221 124 223 29
-223 222 125 224 30
-224 223 126 225 31
-225 224 127 226 32
-226 33 225 128 227
-227 34 226 129 228
-228 35 227 130 229
-229 36 228 131 230
-230 132 231 37 229
-231 133 232 38 230
-232 231 134 233 39
-233 232 135 234 40
-234 233 136 235 41
-235 234 137 236 42
-236 235 138 237 43
-237 44 236 139 238
-238 45 237 140 239
-239 46 238 141 240
-240 47 239 142 241
-241 143 242 48 240
-242 144 243 49 241
-243 242 145 244 50
-244 243 146 245 51
-245 244 147 246 52
-246 245 148 247 53
-247 246 149 248 54
-248 55 247 150 249
-249 56 248 151 250
-250 57 249 152 251
-251 58 250 153 252
-252 154 253 59 251
-253 155 254 60 252
-254 253 156 255 61
-255 254 157 256 62
-256 255 158 257 63
-257 256 159 258 64
-258 257 160 259 65
-259 66 258 161 260
-260 67 259 162 261
-261 68 260 163 262
-262 69 261 164 263
-263 165 264 70 262
-264 166 265 71 263
-265 264 167 266 72
-266 265 168 267 73
-267 266 169 268 74
-268 267 170 269 75
-269 268 171 270 76
-270 77 269 172 271
-271 78 270 173 272
-272 79 271 174 273
-273 80 272 175 274
-274 176 275 81 273
-275 177 276 82 274
-276 275 178 277 83
-277 276 179 278 84
-278 277 180 279 85
-279 278 181 280 86
-280 279 182 281 87
-281 88 280 183 282
-282 89 281 184 283
-283 90 282 185 284
-284 91 283 186 285
-285 187 286 92 284
-286 188 287 93 285
-287 286 189 288 94
-288 287 190 289 95
-289 288 191 290 96
-290 289 192 291 97
-291 1 290 193 98
0