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