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