Graph forms
for C4 [ 298, 2 ] = C_298(1,105)
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On this page are computer-accessible forms for the graph C4[ 298, 2 ] =
C_298(1,105).
(I) Following is a form readable by MAGMA:
g:=Graph<298|{ {2, 3}, {296, 297}, {294, 295}, {292, 293}, {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}, {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}, {56, 57}, {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}, {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}, {1, 2}, {297, 298}, {293, 294}, {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}, {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}, {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}, {177, 178}, {3, 4}, {291, 292}, {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}, {91, 92}, {83, 84}, {75, 76},
{67, 68}, {59, 60}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43, 44}, {51, 52},
{99, 100}, {107, 108}, {115, 116}, {123, 124}, {131, 132}, {139, 140}, {147,
148}, {155, 156}, {163, 164}, {171, 172}, {7, 8}, {295, 296}, {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}, {79, 80}, {47,
48}, {111, 112}, {143, 144}, {175, 176}, {31, 32}, {287, 288}, {223, 224}, {95,
96}, {159, 160}, {2, 107}, {4, 109}, {6, 111}, {16, 121}, {18, 123}, {20, 125},
{22, 127}, {128, 233}, {130, 235}, {132, 237}, {134, 239}, {144, 249}, {146,
251}, {148, 253}, {150, 255}, {1, 106}, {5, 110}, {17, 122}, {21, 126}, {129,
234}, {133, 238}, {145, 250}, {149, 254}, {3, 108}, {19, 124}, {131, 236}, {147,
252}, {7, 112}, {15, 120}, {135, 240}, {143, 248}, {8, 113}, {10, 115}, {12,
117}, {14, 119}, {136, 241}, {138, 243}, {140, 245}, {142, 247}, {9, 114}, {13,
118}, {137, 242}, {141, 246}, {11, 116}, {191, 192}, {63, 64}, {139, 244}, {23,
128}, {87, 192}, {63, 168}, {55, 160}, {31, 136}, {95, 200}, {119, 224}, {127,
232}, {24, 129}, {90, 195}, {88, 193}, {62, 167}, {60, 165}, {58, 163}, {56,
161}, {26, 131}, {28, 133}, {30, 135}, {92, 197}, {94, 199}, {120, 225}, {122,
227}, {124, 229}, {126, 231}, {25, 130}, {89, 194}, {61, 166}, {57, 162}, {29,
134}, {93, 198}, {121, 226}, {125, 230}, {27, 132}, {91, 196}, {59, 164}, {123,
228}, {32, 137}, {54, 159}, {34, 139}, {36, 141}, {38, 143}, {48, 153}, {50,
155}, {52, 157}, {96, 201}, {98, 203}, {100, 205}, {102, 207}, {112, 217}, {114,
219}, {116, 221}, {118, 223}, {33, 138}, {37, 142}, {49, 154}, {53, 158}, {97,
202}, {101, 206}, {113, 218}, {117, 222}, {35, 140}, {51, 156}, {99, 204}, {115,
220}, {39, 144}, {47, 152}, {103, 208}, {111, 216}, {40, 145}, {42, 147}, {44,
149}, {46, 151}, {104, 209}, {106, 211}, {108, 213}, {110, 215}, {41, 146}, {45,
150}, {105, 210}, {109, 214}, {43, 148}, {107, 212}, {2, 195}, {62, 255}, {60,
253}, {58, 251}, {56, 249}, {54, 247}, {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}, {52, 245}, {1,
194}, {61, 254}, {57, 250}, {5, 198}, {9, 202}, {13, 206}, {17, 210}, {21, 214},
{25, 218}, {29, 222}, {33, 226}, {37, 230}, {41, 234}, {45, 238}, {49, 242},
{53, 246}, {3, 196}, {59, 252}, {11, 204}, {19, 212}, {27, 220}, {35, 228}, {43,
236}, {51, 244}, {7, 200}, {55, 248}, {23, 216}, {39, 232}, {15, 208}, {47,
240}, {64, 169}, {86, 191}, {84, 189}, {82, 187}, {80, 185}, {70, 175}, {68,
173}, {66, 171}, {65, 170}, {85, 190}, {81, 186}, {69, 174}, {67, 172}, {83,
188}, {71, 176}, {79, 184}, {72, 177}, {78, 183}, {76, 181}, {74, 179}, {73,
178}, {77, 182}, {31, 224}, {75, 180}, {127, 128}, {1, 298}, {63, 256}, {64,
257}, {90, 283}, {88, 281}, {86, 279}, {84, 277}, {82, 275}, {80, 273}, {78,
271}, {76, 269}, {74, 267}, {72, 265}, {70, 263}, {68, 261}, {66, 259}, {92,
285}, {94, 287}, {96, 289}, {98, 291}, {100, 293}, {102, 295}, {104, 297}, {65,
258}, {89, 282}, {85, 278}, {81, 274}, {77, 270}, {73, 266}, {69, 262}, {93,
286}, {97, 290}, {101, 294}, {105, 298}, {67, 260}, {83, 276}, {75, 268}, {91,
284}, {99, 292}, {71, 264}, {87, 280}, {103, 296}, {79, 272}, {95, 288}, {151,
256}, {191, 296}, {183, 288}, {159, 264}, {152, 257}, {190, 295}, {188, 293},
{186, 291}, {184, 289}, {154, 259}, {156, 261}, {158, 263}, {153, 258}, {189,
294}, {185, 290}, {157, 262}, {155, 260}, {187, 292}, {160, 265}, {182, 287},
{180, 285}, {162, 267}, {164, 269}, {166, 271}, {176, 281}, {178, 283}, {161,
266}, {181, 286}, {165, 270}, {177, 282}, {163, 268}, {179, 284}, {167, 272},
{175, 280}, {168, 273}, {170, 275}, {172, 277}, {174, 279}, {169, 274}, {173,
278}, {171, 276}, {192, 297}, {193, 298}, {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, 194, 298, 106)(3, 89, 297, 211)(4, 282, 296, 18)(5, 177, 295, 123)(6, 72,
294, 228)(7, 265, 293, 35)(8, 160, 292, 140)(9, 55, 291, 245)(10, 248, 290,
52)(11, 143, 289, 157)(12, 38, 288, 262)(13, 231, 287, 69)(14, 126, 286,
174)(15, 21, 285, 279)(16, 214, 284, 86)(17, 109, 283, 191)(19, 197, 281,
103)(20, 92, 280, 208)(22, 180, 278, 120)(23, 75, 277, 225)(24, 268, 276,
32)(25, 163, 275, 137)(26, 58, 274, 242)(27, 251, 273, 49)(28, 146, 272,
154)(29, 41, 271, 259)(30, 234, 270, 66)(31, 129, 269, 171)(33, 217, 267,
83)(34, 112, 266, 188)(36, 200, 264, 100)(37, 95, 263, 205)(39, 183, 261,
117)(40, 78, 260, 222)(42, 166, 258, 134)(43, 61, 257, 239)(44, 254, 256,
46)(45, 149, 255, 151)(47, 237, 253, 63)(48, 132, 252, 168)(50, 220, 250,
80)(51, 115, 249, 185)(53, 203, 247, 97)(54, 98, 246, 202)(56, 186, 244,
114)(57, 81, 243, 219)(59, 169, 241, 131)(60, 64, 240, 236)(62, 152, 238,
148)(65, 135, 235, 165)(67, 223, 233, 77)(68, 118, 232, 182)(70, 206, 230,
94)(71, 101, 229, 199)(73, 189, 227, 111)(74, 84, 226, 216)(76, 172, 224,
128)(79, 155, 221, 145)(82, 138, 218, 162)(85, 121, 215, 179)(87, 209, 213,
91)(88, 104, 212, 196)(90, 192, 210, 108)(93, 175, 207, 125)(96, 158, 204,
142)(99, 141, 201, 159)(102, 124, 198, 176)(105, 107, 195, 193)(110, 178, 190,
122)(113, 161, 187, 139)(116, 144, 184, 156)(119, 127, 181, 173)(130, 164, 170,
136)(133, 147, 167, 153) (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, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292,
293, 294, 295, 296, 297, 298)
C4[ 298, 2 ]
298
-1 298 2 106 194
-2 1 3 107 195
-3 2 4 108 196
-4 3 5 109 197
-5 110 198 4 6
-6 111 199 5 7
-7 112 200 6 8
-8 113 201 7 9
-9 114 202 8 10
-10 11 115 203 9
-11 12 116 204 10
-12 11 13 117 205
-13 12 14 118 206
-14 13 15 119 207
-15 14 16 120 208
-16 121 209 15 17
-17 122 210 16 18
-18 123 211 17 19
-19 124 212 18 20
-20 125 213 19 21
-21 22 126 214 20
-22 23 127 215 21
-23 22 24 128 216
-24 23 25 129 217
-25 24 26 130 218
-26 25 27 131 219
-27 132 220 26 28
-28 133 221 27 29
-29 134 222 28 30
-30 135 223 29 31
-31 136 224 30 32
-32 33 137 225 31
-33 34 138 226 32
-34 33 35 139 227
-35 34 36 140 228
-36 35 37 141 229
-37 36 38 142 230
-38 143 231 37 39
-39 144 232 38 40
-40 145 233 39 41
-41 146 234 40 42
-42 147 235 41 43
-43 44 148 236 42
-44 45 149 237 43
-45 44 46 150 238
-46 45 47 151 239
-47 46 48 152 240
-48 47 49 153 241
-49 154 242 48 50
-50 155 243 49 51
-51 156 244 50 52
-52 157 245 51 53
-53 158 246 52 54
-54 55 159 247 53
-55 56 160 248 54
-56 55 57 161 249
-57 56 58 162 250
-58 57 59 163 251
-59 58 60 164 252
-60 165 253 59 61
-61 166 254 60 62
-62 167 255 61 63
-63 168 256 62 64
-64 169 257 63 65
-65 66 170 258 64
-66 67 171 259 65
-67 66 68 172 260
-68 67 69 173 261
-69 68 70 174 262
-70 69 71 175 263
-71 176 264 70 72
-72 177 265 71 73
-73 178 266 72 74
-74 179 267 73 75
-75 180 268 74 76
-76 77 181 269 75
-77 78 182 270 76
-78 77 79 183 271
-79 78 80 184 272
-80 79 81 185 273
-81 80 82 186 274
-82 187 275 81 83
-83 188 276 82 84
-84 189 277 83 85
-85 190 278 84 86
-86 191 279 85 87
-87 88 192 280 86
-88 89 193 281 87
-89 88 90 194 282
-90 89 91 195 283
-91 90 92 196 284
-92 91 93 197 285
-93 198 286 92 94
-94 199 287 93 95
-95 200 288 94 96
-96 201 289 95 97
-97 202 290 96 98
-98 99 203 291 97
-99 100 204 292 98
-100 99 101 205 293
-101 100 102 206 294
-102 101 103 207 295
-103 102 104 208 296
-104 209 297 103 105
-105 210 298 104 106
-106 1 211 105 107
-107 2 212 106 108
-108 3 213 107 109
-109 110 4 214 108
-110 111 5 215 109
-111 110 112 6 216
-112 111 113 7 217
-113 112 114 8 218
-114 113 115 9 219
-115 220 114 116 10
-116 11 221 115 117
-117 12 222 116 118
-118 13 223 117 119
-119 14 224 118 120
-120 121 15 225 119
-121 122 16 226 120
-122 121 123 17 227
-123 122 124 18 228
-124 123 125 19 229
-125 124 126 20 230
-126 231 125 127 21
-127 22 232 126 128
-128 23 233 127 129
-129 24 234 128 130
-130 25 235 129 131
-131 132 26 236 130
-132 133 27 237 131
-133 132 134 28 238
-134 133 135 29 239
-135 134 136 30 240
-136 135 137 31 241
-137 242 136 138 32
-138 33 243 137 139
-139 34 244 138 140
-140 35 245 139 141
-141 36 246 140 142
-142 143 37 247 141
-143 144 38 248 142
-144 143 145 39 249
-145 144 146 40 250
-146 145 147 41 251
-147 146 148 42 252
-148 253 147 149 43
-149 44 254 148 150
-150 45 255 149 151
-151 46 256 150 152
-152 47 257 151 153
-153 154 48 258 152
-154 155 49 259 153
-155 154 156 50 260
-156 155 157 51 261
-157 156 158 52 262
-158 157 159 53 263
-159 264 158 160 54
-160 55 265 159 161
-161 56 266 160 162
-162 57 267 161 163
-163 58 268 162 164
-164 165 59 269 163
-165 166 60 270 164
-166 165 167 61 271
-167 166 168 62 272
-168 167 169 63 273
-169 168 170 64 274
-170 275 169 171 65
-171 66 276 170 172
-172 67 277 171 173
-173 68 278 172 174
-174 69 279 173 175
-175 176 70 280 174
-176 177 71 281 175
-177 176 178 72 282
-178 177 179 73 283
-179 178 180 74 284
-180 179 181 75 285
-181 286 180 182 76
-182 77 287 181 183
-183 78 288 182 184
-184 79 289 183 185
-185 80 290 184 186
-186 187 81 291 185
-187 188 82 292 186
-188 187 189 83 293
-189 188 190 84 294
-190 189 191 85 295
-191 190 192 86 296
-192 297 191 193 87
-193 88 298 192 194
-194 1 89 193 195
-195 2 90 194 196
-196 3 91 195 197
-197 198 4 92 196
-198 199 5 93 197
-199 198 200 6 94
-200 199 201 7 95
-201 200 202 8 96
-202 201 203 9 97
-203 202 204 10 98
-204 11 99 203 205
-205 12 100 204 206
-206 13 101 205 207
-207 14 102 206 208
-208 209 15 103 207
-209 210 16 104 208
-210 209 211 17 105
-211 210 212 18 106
-212 211 213 19 107
-213 212 214 20 108
-214 213 215 21 109
-215 22 110 214 216
-216 23 111 215 217
-217 24 112 216 218
-218 25 113 217 219
-219 220 26 114 218
-220 221 27 115 219
-221 220 222 28 116
-222 221 223 29 117
-223 222 224 30 118
-224 223 225 31 119
-225 224 226 32 120
-226 33 121 225 227
-227 34 122 226 228
-228 35 123 227 229
-229 36 124 228 230
-230 231 37 125 229
-231 232 38 126 230
-232 231 233 39 127
-233 232 234 40 128
-234 233 235 41 129
-235 234 236 42 130
-236 235 237 43 131
-237 44 132 236 238
-238 45 133 237 239
-239 46 134 238 240
-240 47 135 239 241
-241 242 48 136 240
-242 243 49 137 241
-243 242 244 50 138
-244 243 245 51 139
-245 244 246 52 140
-246 245 247 53 141
-247 246 248 54 142
-248 55 143 247 249
-249 56 144 248 250
-250 57 145 249 251
-251 58 146 250 252
-252 253 59 147 251
-253 254 60 148 252
-254 253 255 61 149
-255 254 256 62 150
-256 255 257 63 151
-257 256 258 64 152
-258 257 259 65 153
-259 66 154 258 260
-260 67 155 259 261
-261 68 156 260 262
-262 69 157 261 263
-263 264 70 158 262
-264 265 71 159 263
-265 264 266 72 160
-266 265 267 73 161
-267 266 268 74 162
-268 267 269 75 163
-269 268 270 76 164
-270 77 165 269 271
-271 78 166 270 272
-272 79 167 271 273
-273 80 168 272 274
-274 275 81 169 273
-275 276 82 170 274
-276 275 277 83 171
-277 276 278 84 172
-278 277 279 85 173
-279 278 280 86 174
-280 279 281 87 175
-281 88 176 280 282
-282 89 177 281 283
-283 90 178 282 284
-284 91 179 283 285
-285 286 92 180 284
-286 287 93 181 285
-287 286 288 94 182
-288 287 289 95 183
-289 288 290 96 184
-290 289 291 97 185
-291 290 292 98 186
-292 99 187 291 293
-293 100 188 292 294
-294 101 189 293 295
-295 102 190 294 296
-296 297 103 191 295
-297 298 104 192 296
-298 297 1 105 193
0