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