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