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