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