Graph forms
for C4 [ 320, 159 ] = UG(Cmap(640,68){16,4|10}_20)
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On this page are computer-accessible forms for the graph C4[ 320, 159 ] =
UG(Cmap(640,68){16,4|10}_20).
(I) Following is a form readable by MAGMA:
g:=Graph<320|{ {2, 3}, {258, 259}, {214, 215}, {208, 209}, {200, 201}, {140,
141}, {148, 149}, {4, 6}, {1, 2}, {265, 266}, {89, 90}, {1, 4}, {289, 292}, {10,
15}, {8, 13}, {1, 7}, {241, 247}, {3, 5}, {9, 14}, {16, 24}, {310, 318}, {71,
79}, {18, 26}, {17, 25}, {114, 122}, {180, 188}, {86, 95}, {311, 318}, {308,
317}, {163, 170}, {20, 30}, {1, 10}, {7, 11}, {49, 61}, {113, 125}, {5, 8},
{289, 300}, {276, 281}, {2, 12}, {307, 317}, {290, 300}, {19, 29}, {6, 9}, {304,
319}, {98, 109}, {55, 56}, {3, 19}, {33, 49}, {32, 48}, {4, 20}, {164, 181},
{263, 278}, {172, 190}, {296, 314}, {291, 305}, {2, 17}, {138, 153}, {174, 186},
{230, 242}, {201, 221}, {34, 55}, {42, 63}, {40, 61}, {271, 281}, {303, 313},
{41, 62}, {299, 316}, {290, 309}, {269, 282}, {262, 273}, {259, 276}, {258,
277}, {205, 218}, {200, 223}, {136, 159}, {3, 27}, {15, 23}, {14, 22}, {13, 21},
{4, 28}, {133, 157}, {192, 217}, {299, 306}, {297, 304}, {5, 31}, {301, 311},
{300, 310}, {293, 319}, {11, 16}, {290, 313}, {288, 315}, {39, 60}, {35, 56},
{136, 147}, {256, 284}, {36, 57}, {38, 59}, {12, 18}, {37, 58}, {72, 104}, {270,
302}, {80, 112}, {79, 111}, {78, 110}, {77, 109}, {76, 108}, {75, 107}, {74,
106}, {73, 105}, {64, 97}, {287, 318}, {285, 316}, {220, 253}, {70, 103}, {68,
101}, {66, 99}, {260, 294}, {261, 295}, {65, 98}, {69, 102}, {134, 162}, {277,
305}, {135, 162}, {279, 306}, {6, 32}, {7, 33}, {67, 100}, {278, 305}, {265,
302}, {259, 292}, {218, 253}, {88, 127}, {155, 188}, {147, 187}, {5, 44}, {284,
309}, {222, 247}, {208, 249}, {204, 229}, {192, 233}, {87, 126}, {85, 124}, {83,
122}, {81, 120}, {26, 51}, {7, 46}, {74, 96}, {6, 45}, {192, 235}, {86, 125},
{82, 121}, {78, 99}, {262, 296}, {265, 295}, {84, 123}, {283, 308}, {202, 229},
{31, 47}, {266, 314}, {198, 246}, {197, 245}, {151, 167}, {266, 315}, {80, 98},
{212, 230}, {203, 249}, {202, 248}, {193, 243}, {23, 36}, {215, 228}, {27, 40},
{257, 309}, {273, 293}, {22, 35}, {277, 288}, {30, 43}, {28, 41}, {138, 191},
{128, 182}, {129, 183}, {21, 34}, {274, 293}, {271, 312}, {205, 250}, {195,
244}, {29, 42}, {150, 161}, {139, 179}, {279, 303}, {133, 188}, {135, 190}, {8,
50}, {275, 297}, {222, 228}, {12, 54}, {9, 51}, {130, 184}, {131, 185}, {155,
161}, {134, 189}, {216, 227}, {86, 106}, {24, 37}, {270, 307}, {26, 39}, {10,
52}, {272, 302}, {221, 227}, {217, 231}, {201, 247}, {11, 53}, {132, 186}, {25,
38}, {40, 104}, {185, 249}, {139, 203}, {149, 213}, {175, 239}, {9, 72}, {11,
74}, {134, 199}, {144, 209}, {158, 220}, {10, 73}, {140, 207}, {145, 210}, {16,
84}, {19, 87}, {18, 86}, {17, 85}, {158, 216}, {12, 75}, {147, 212}, {170, 224},
{190, 244}, {171, 225}, {41, 98}, {53, 126}, {139, 192}, {156, 215}, {166, 237},
{20, 88}, {154, 214}, {182, 250}, {56, 117}, {179, 254}, {8, 71}, {32, 111},
{163, 236}, {182, 230}, {130, 211}, {170, 251}, {180, 229}, {185, 232}, {176,
226}, {177, 227}, {146, 193}, {47, 123}, {190, 234}, {189, 233}, {176, 228},
{171, 254}, {19, 69}, {178, 228}, {171, 252}, {59, 99}, {177, 235}, {13, 81},
{15, 83}, {14, 82}, {153, 196}, {140, 210}, {63, 96}, {184, 231}, {58, 91}, {62,
95}, {60, 93}, {20, 119}, {61, 94}, {57, 90}, {16, 116}, {292, 320}, {18, 118},
{17, 117}, {157, 249}, {179, 214}, {54, 80}, {59, 92}, {185, 211}, {43, 64},
{47, 68}, {55, 91}, {44, 65}, {46, 67}, {55, 89}, {45, 66}, {129, 241}, {31,
110}, {150, 226}, {48, 69}, {159, 234}, {169, 223}, {49, 70}, {175, 215}, {42,
83}, {160, 217}, {165, 220}, {167, 222}, {52, 78}, {53, 79}, {166, 221}, {13,
113}, {15, 115}, {14, 114}, {167, 219}, {137, 244}, {141, 240}, {50, 76}, {51,
77}, {132, 250}, {152, 230}, {43, 84}, {319, 320}, {128, 255}, {164, 219}, {109,
236}, {51, 187}, {92, 212}, {74, 194}, {73, 193}, {105, 226}, {118, 251}, {97,
238}, {115, 252}, {122, 245}, {82, 195}, {53, 166}, {33, 181}, {21, 128}, {23,
130}, {30, 136}, {31, 137}, {113, 231}, {22, 129}, {81, 198}, {75, 210}, {28,
134}, {50, 168}, {29, 135}, {114, 232}, {24, 131}, {38, 189}, {25, 132}, {52,
169}, {27, 133}, {61, 163}, {24, 135}, {46, 142}, {108, 204}, {116, 213}, {92,
254}, {69, 226}, {102, 207}, {103, 206}, {26, 176}, {33, 139}, {32, 138}, {30,
180}, {27, 177}, {108, 199}, {45, 128}, {88, 245}, {67, 238}, {28, 178}, {29,
179}, {105, 217}, {50, 131}, {93, 239}, {112, 194}, {112, 197}, {123, 206}, {25,
175}, {121, 207}, {21, 172}, {35, 154}, {23, 174}, {22, 173}, {82, 233}, {79,
242}, {85, 234}, {49, 241}, {68, 132}, {63, 255}, {62, 254}, {111, 175}, {60,
253}, {104, 169}, {57, 251}, {41, 237}, {70, 130}, {54, 242}, {43, 239}, {42,
238}, {58, 252}, {94, 152}, {62, 248}, {107, 173}, {99, 164}, {120, 191}, {37,
236}, {125, 183}, {119, 186}, {95, 144}, {106, 186}, {60, 237}, {94, 143}, {92,
141}, {93, 142}, {67, 151}, {116, 160}, {117, 161}, {118, 162}, {119, 163},
{124, 168}, {125, 169}, {126, 170}, {127, 171}, {89, 140}, {95, 137}, {89, 142},
{127, 168}, {72, 145}, {84, 143}, {44, 240}, {120, 164}, {121, 165}, {122, 166},
{123, 167}, {65, 159}, {87, 183}, {35, 194}, {39, 198}, {37, 196}, {57, 219},
{71, 165}, {66, 160}, {118, 148}, {34, 193}, {38, 197}, {107, 136}, {44, 200},
{47, 203}, {46, 202}, {45, 201}, {124, 152}, {81, 180}, {58, 220}, {115, 149},
{36, 195}, {36, 204}, {59, 211}, {127, 151}, {68, 173}, {91, 178}, {48, 218},
{75, 160}, {90, 177}, {39, 203}, {83, 191}, {115, 159}, {112, 158}, {40, 199},
{96, 145}, {103, 150}, {101, 148}, {105, 152}, {34, 208}, {107, 153}, {110,
156}, {111, 157}, {97, 146}, {102, 149}, {65, 181}, {77, 184}, {108, 154}, {109,
155}, {121, 143}, {76, 187}, {101, 146}, {100, 147}, {54, 206}, {52, 205}, {48,
204}, {104, 151}, {56, 265}, {63, 260}, {64, 256}, {100, 292}, {66, 257}, {64,
261}, {96, 293}, {71, 258}, {76, 260}, {97, 297}, {77, 261}, {90, 275}, {73,
259}, {102, 299}, {100, 298}, {116, 314}, {93, 274}, {124, 307}, {87, 263}, {88,
264}, {126, 303}, {94, 268}, {85, 262}, {117, 290}, {70, 287}, {113, 300}, {78,
273}, {72, 288}, {120, 278}, {80, 289}, {101, 278}, {114, 262}, {110, 280},
{103, 286}, {119, 267}, {91, 294}, {106, 276}, {129, 256}, {155, 282}, {182,
311}, {143, 269}, {188, 319}, {138, 269}, {133, 270}, {141, 256}, {189, 304},
{146, 287}, {150, 283}, {168, 312}, {191, 301}, {156, 264}, {173, 312}, {213,
320}, {214, 320}, {162, 309}, {158, 263}, {181, 302}, {144, 268}, {131, 285},
{153, 313}, {174, 270}, {176, 272}, {137, 301}, {165, 257}, {145, 308}, {156,
315}, {148, 317}, {157, 310}, {154, 311}, {183, 282}, {184, 264}, {174, 284},
{172, 283}, {161, 280}, {144, 298}, {172, 279}, {187, 263}, {178, 271}, {142,
305}, {216, 280}, {251, 315}, {235, 298}, {207, 264}, {205, 261}, {197, 268},
{206, 260}, {252, 310}, {247, 317}, {233, 291}, {202, 257}, {248, 308}, {224,
301}, {253, 307}, {209, 286}, {243, 316}, {236, 291}, {246, 294}, {216, 267},
{244, 295}, {196, 273}, {196, 286}, {208, 267}, {243, 296}, {242, 297}, {227,
312}, {255, 291}, {239, 306}, {212, 266}, {213, 267}, {195, 289}, {248, 285},
{219, 316}, {250, 285}, {222, 313}, {194, 299}, {243, 282}, {240, 281}, {246,
284}, {210, 318}, {225, 269}, {223, 306}, {240, 286}, {245, 283}, {199, 296},
{255, 272}, {224, 271}, {218, 298}, {209, 288}, {225, 272}, {224, 274}, {237,
287}, {225, 275}, {241, 258}, {231, 274}, {238, 280}, {200, 304}, {223, 294},
{221, 295}, {246, 268}, {232, 275}, {198, 314}, {235, 279}, {232, 276}, {229,
281}, {211, 303}, {234, 277} }>;
(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, 5, 8, 13, 21, 34, 55, 89, 140, 207, 264, 88, 20, 4)(6, 10, 17, 27,
44, 71, 113, 172, 208, 91, 142, 210, 102, 156, 127, 30)(7, 12, 19, 31, 50, 81,
128, 193, 56, 90, 141, 121, 184, 245, 119, 28)(9, 15, 25, 40, 65, 79, 125, 190,
249, 294, 305, 318, 299, 315, 171, 43)(11, 18, 29, 47, 76, 120, 182, 243, 265,
275, 256, 82, 130, 197, 163, 41)(14, 23, 38, 61, 98, 53, 86, 135, 203, 260, 278,
311, 316, 266, 225, 64)(16, 26, 42, 68, 108, 164, 230, 282, 295, 232, 284, 233,
70, 112, 170, 62)(22, 36, 59, 94, 109, 166, 106, 162, 139, 206, 263, 301, 285,
314, 272, 97)(24, 39, 63, 101, 154, 219, 212, 269, 261, 114, 174, 189, 49, 80,
126, 95)(32, 52, 85, 133, 200, 258, 300, 279, 209, 58, 93, 145, 149, 215, 151,
136)(33, 54, 87, 137, 131, 198, 255, 146, 35, 57, 92, 143, 77, 122, 186,
134)(37, 60, 96, 148, 214, 167, 147, 138, 205, 262, 270, 304, 241, 289, 303,
144)(45, 73, 117, 177, 240, 165, 231, 283, 267, 178, 46, 75, 69, 110, 168,
180)(48, 78, 124, 188, 201, 259, 290, 235, 286, 220, 274, 308, 213, 228, 67,
107)(51, 83, 132, 199, 181, 242, 183, 244, 185, 246, 291, 287, 194, 251, 254,
84)(66, 105, 161, 227, 281, 257, 217, 150, 216, 271, 202, 160, 226, 280, 312,
229)(72, 115, 175, 104, 159, 111, 169, 234, 157, 223, 277, 310, 306, 288, 252,
239)(74, 118, 179, 123, 187, 191, 250, 296, 302, 297, 129, 195, 211, 268, 236,
237)(99, 152, 155, 221, 276, 309, 192, 103, 158, 224, 248, 116, 176, 238, 173,
204)(100, 153, 218, 273, 307, 319, 247, 292, 313, 298, 196, 253, 293, 317, 320,
222) (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, 4, 7, 10)(3, 6, 11, 15)(5, 9, 16, 23)(8, 14, 24, 36)(12, 20, 33, 52)(13,
22, 37, 57)(17, 28, 46, 73)(18, 30, 49, 78)(19, 32, 53, 83)(21, 35, 58, 90)(25,
41, 67, 105)(26, 43, 70, 110)(27, 45, 74, 115)(29, 48, 79, 122)(31, 51, 84,
130)(34, 56, 91, 89)(38, 62, 100, 152)(39, 64, 103, 156)(40, 66, 106, 159)(42,
69, 111, 166)(44, 72, 116, 174)(47, 77, 123, 184)(50, 82, 131, 195)(54, 88, 139,
205)(59, 95, 147, 94)(60, 97, 150, 215)(61, 99, 86, 136)(63, 102, 157, 221)(65,
104, 160, 186)(68, 109, 167, 231)(71, 114, 135, 204)(75, 119, 181, 169)(76, 121,
185, 244)(80, 127, 192, 250)(81, 129, 196, 251)(85, 134, 202, 259)(87, 138, 126,
191)(92, 144, 212, 268)(93, 146, 161, 228)(96, 149, 133, 201)(98, 151, 217,
132)(101, 155, 222, 274)(107, 163, 164, 125)(108, 165, 232, 190)(112, 171, 235,
182)(113, 173, 236, 219)(117, 178, 142, 193)(118, 180, 241, 273)(120, 183, 153,
170)(124, 189, 248, 292)(128, 194, 252, 177)(137, 187, 143, 211)(140, 208, 265,
294)(141, 209, 266, 246)(145, 213, 270, 200)(148, 188, 247, 293)(154, 220, 275,
172)(158, 225, 279, 311)(162, 229, 258, 262)(168, 233, 285, 289)(175, 237, 238,
226)(176, 239, 287, 280)(179, 218, 242, 245)(197, 254, 298, 230)(198, 256, 286,
315)(199, 257, 276, 234)(203, 261, 206, 264)(207, 249, 295, 260)(210, 267, 302,
223)(214, 253, 297, 283)(216, 272, 306, 318)(224, 278, 282, 313)(227, 255, 299,
310)(240, 288, 314, 284)(243, 290, 271, 305)(263, 269, 303, 301)(277, 296, 309,
281)(291, 316, 300, 312)(304, 308, 320, 307)(317, 319)
C4[ 320, 159 ]
320
-1 2 4 7 10
-2 1 12 3 17
-3 2 5 27 19
-4 1 6 28 20
-5 44 3 8 31
-6 45 4 9 32
-7 11 33 1 46
-8 13 5 71 50
-9 14 6 72 51
-10 1 15 73 52
-11 16 7 74 53
-12 2 18 75 54
-13 113 81 8 21
-14 22 114 82 9
-15 23 115 83 10
-16 11 24 116 84
-17 2 25 117 85
-18 12 26 118 86
-19 3 69 29 87
-20 88 4 30 119
-21 34 13 128 172
-22 35 14 129 173
-23 36 15 130 174
-24 135 37 16 131
-25 132 38 17 175
-26 176 39 18 51
-27 133 177 3 40
-28 134 178 4 41
-29 135 179 19 42
-30 136 180 20 43
-31 110 47 5 137
-32 111 48 6 138
-33 49 181 7 139
-34 55 193 21 208
-35 22 154 56 194
-36 23 57 204 195
-37 24 58 236 196
-38 189 25 59 197
-39 198 26 60 203
-40 199 27 104 61
-41 28 237 62 98
-42 83 29 238 63
-43 84 30 239 64
-44 200 5 240 65
-45 66 201 6 128
-46 67 202 7 142
-47 68 123 203 31
-48 69 204 218 32
-49 33 70 61 241
-50 168 8 76 131
-51 77 187 26 9
-52 78 169 205 10
-53 11 166 79 126
-54 242 12 80 206
-55 34 56 89 91
-56 55 265 35 117
-57 90 36 251 219
-58 220 91 37 252
-59 99 211 92 38
-60 253 93 39 237
-61 49 94 40 163
-62 254 248 95 41
-63 255 260 96 42
-64 256 261 97 43
-65 44 159 181 98
-66 99 45 257 160
-67 100 46 238 151
-68 132 101 47 173
-69 102 48 226 19
-70 287 103 49 130
-71 165 79 258 8
-72 145 288 104 9
-73 105 193 259 10
-74 11 106 194 96
-75 12 210 160 107
-76 187 50 260 108
-77 51 184 261 109
-78 99 110 52 273
-79 242 111 71 53
-80 112 289 54 98
-81 198 13 180 120
-82 121 233 14 195
-83 122 15 191 42
-84 143 123 16 43
-85 124 234 17 262
-86 125 18 95 106
-87 126 183 19 263
-88 264 245 127 20
-89 55 90 140 142
-90 275 89 177 57
-91 55 178 58 294
-92 254 212 59 141
-93 60 239 142 274
-94 143 268 61 152
-95 144 137 62 86
-96 145 293 63 74
-97 297 146 238 64
-98 80 41 65 109
-99 66 78 59 164
-100 67 298 147 292
-101 68 146 278 148
-102 299 69 149 207
-103 286 70 150 206
-104 169 72 40 151
-105 226 73 217 152
-106 276 74 86 186
-107 136 173 75 153
-108 154 199 204 76
-109 77 155 236 98
-110 78 156 280 31
-111 79 157 32 175
-112 80 158 194 197
-113 231 13 300 125
-114 122 232 14 262
-115 15 159 149 252
-116 213 16 160 314
-117 56 290 17 161
-118 148 18 162 251
-119 267 20 163 186
-120 278 81 191 164
-121 143 165 82 207
-122 166 245 114 83
-123 167 47 84 206
-124 168 85 152 307
-125 113 169 183 86
-126 170 303 53 87
-127 88 168 171 151
-128 45 255 182 21
-129 22 256 183 241
-130 23 211 70 184
-131 24 50 185 285
-132 68 25 250 186
-133 188 157 27 270
-134 199 189 28 162
-135 24 190 29 162
-136 147 159 30 107
-137 244 301 95 31
-138 191 269 32 153
-139 33 179 192 203
-140 89 210 141 207
-141 256 92 140 240
-142 89 46 93 305
-143 121 269 94 84
-144 209 298 268 95
-145 308 210 72 96
-146 287 101 193 97
-147 187 100 212 136
-148 101 149 118 317
-149 102 213 115 148
-150 103 226 161 283
-151 67 167 104 127
-152 124 94 105 230
-153 313 138 107 196
-154 35 311 214 108
-155 188 161 282 109
-156 110 264 215 315
-157 111 133 310 249
-158 220 112 216 263
-159 234 136 115 65
-160 66 116 217 75
-161 155 280 117 150
-162 309 134 135 118
-163 170 236 61 119
-164 99 181 120 219
-165 121 220 257 71
-166 122 221 237 53
-167 123 222 151 219
-168 124 312 50 127
-169 223 125 104 52
-170 224 126 163 251
-171 254 225 127 252
-172 190 279 283 21
-173 22 68 312 107
-174 23 270 284 186
-175 111 25 215 239
-176 26 226 228 272
-177 90 235 27 227
-178 91 28 271 228
-179 254 214 29 139
-180 188 81 30 229
-181 33 302 65 164
-182 311 128 250 230
-183 125 282 129 87
-184 77 231 264 130
-185 232 211 249 131
-186 132 106 119 174
-187 147 51 76 263
-188 319 133 155 180
-189 134 233 38 304
-190 244 135 234 172
-191 301 83 138 120
-192 233 235 139 217
-193 34 243 146 73
-194 35 112 299 74
-195 244 36 289 82
-196 286 37 273 153
-197 112 245 268 38
-198 81 246 39 314
-199 134 40 108 296
-200 44 201 223 304
-201 45 221 200 247
-202 46 257 248 229
-203 47 39 139 249
-204 36 48 108 229
-205 52 250 261 218
-206 123 103 260 54
-207 121 264 102 140
-208 209 34 267 249
-209 286 144 288 208
-210 145 140 75 318
-211 59 303 130 185
-212 266 92 147 230
-213 320 267 116 149
-214 154 320 179 215
-215 156 214 228 175
-216 267 158 280 227
-217 231 192 105 160
-218 253 298 48 205
-219 57 167 316 164
-220 165 253 58 158
-221 166 201 227 295
-222 167 247 313 228
-223 200 169 294 306
-224 301 170 271 274
-225 275 269 171 272
-226 176 69 105 150
-227 177 221 312 216
-228 176 178 222 215
-229 180 202 204 281
-230 242 212 182 152
-231 113 184 217 274
-232 275 276 114 185
-233 189 82 192 291
-234 277 190 159 85
-235 177 298 279 192
-236 37 291 163 109
-237 166 287 60 41
-238 67 280 42 97
-239 93 306 43 175
-240 44 286 281 141
-241 49 247 258 129
-242 297 79 54 230
-243 193 282 316 296
-244 190 137 195 295
-245 88 122 283 197
-246 198 268 294 284
-247 222 201 317 241
-248 308 202 62 285
-249 157 203 185 208
-250 132 182 205 285
-251 57 170 315 118
-252 310 58 115 171
-253 220 60 218 307
-254 179 92 171 62
-255 291 128 63 272
-256 129 64 141 284
-257 66 165 309 202
-258 277 71 259 241
-259 276 258 292 73
-260 63 206 294 76
-261 77 205 64 295
-262 114 85 273 296
-263 187 278 158 87
-264 88 156 184 207
-265 56 266 302 295
-266 265 212 314 315
-267 213 216 119 208
-268 144 246 94 197
-269 143 225 138 282
-270 133 302 174 307
-271 178 224 312 281
-272 176 255 225 302
-273 78 293 196 262
-274 231 224 93 293
-275 297 232 90 225
-276 232 259 281 106
-277 288 234 258 305
-278 101 305 120 263
-279 235 303 172 306
-280 110 161 216 238
-281 276 271 229 240
-282 155 243 269 183
-283 308 245 150 172
-284 309 256 246 174
-285 248 250 316 131
-286 209 103 196 240
-287 146 70 237 318
-288 209 277 72 315
-289 80 300 292 195
-290 309 300 313 117
-291 233 255 236 305
-292 100 320 289 259
-293 319 96 273 274
-294 91 223 246 260
-295 221 265 244 261
-296 199 243 314 262
-297 242 275 304 97
-298 100 144 235 218
-299 102 194 316 306
-300 310 113 289 290
-301 311 191 224 137
-302 265 181 270 272
-303 211 279 126 313
-304 297 319 189 200
-305 277 278 291 142
-306 299 223 279 239
-307 253 124 270 317
-308 145 248 283 317
-309 257 290 162 284
-310 157 300 252 318
-311 154 301 182 318
-312 168 227 271 173
-313 222 290 303 153
-314 198 266 116 296
-315 156 266 288 251
-316 243 299 219 285
-317 308 148 247 307
-318 210 287 310 311
-319 188 320 293 304
-320 319 213 214 292
0