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