Graph forms
for C4 [ 256, 35 ] =
PL(Curtain_32(1,16,2,9,18),[4^32,16^8])
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On this page are computer-accessible forms for the graph C4[ 256, 35 ] =
PL(Curtain_32(1,16,2,9,18),[4^32,16^8]).
(I) Following is a form readable by MAGMA:
g:=Graph<256|{ {128, 133}, {128, 150}, {128, 214}, {128, 247}, {1, 129}, {102,
230}, {90, 218}, {54, 182}, {53, 181}, {28, 156}, {3, 131}, {14, 143}, {123,
250}, {109, 236}, {59, 186}, {45, 172}, {31, 158}, {10, 136}, {110, 236}, {52,
182}, {51, 177}, {40, 170}, {13, 143}, {72, 202}, {5, 129}, {114, 246}, {57,
189}, {12, 136}, {67, 199}, {26, 159}, {60, 185}, {37, 163}, {75, 205}, {4,
131}, {9, 129}, {95, 215}, {20, 156}, {71, 207}, {75, 195}, {36, 173}, {112,
249}, {50, 184}, {8, 131}, {124, 247}, {110, 229}, {102, 237}, {101, 238}, {16,
156}, {103, 235}, {47, 163}, {18, 158}, {2, 143}, {104, 229}, {78, 195}, {6,
136}, {119, 249}, {116, 250}, {115, 253}, {96, 238}, {34, 172}, {62, 176}, {80,
222}, {21, 154}, {99, 236}, {89, 214}, {35, 172}, {2, 146}, {113, 225}, {43,
187}, {17, 129}, {4, 148}, {3, 146}, {120, 233}, {5, 148}, {8, 154}, {44, 190},
{1, 146}, {122, 233}, {61, 174}, {34, 177}, {29, 142}, {16, 131}, {81, 194},
{84, 199}, {6, 146}, {127, 235}, {117, 225}, {98, 246}, {68, 208}, {69, 209},
{28, 137}, {122, 239}, {58, 175}, {73, 220}, {77, 216}, {82, 199}, {12, 154},
{107, 253}, {36, 178}, {25, 143}, {65, 215}, {35, 180}, {124, 235}, {114, 229},
{47, 184}, {80, 199}, {22, 142}, {58, 162}, {53, 173}, {52, 172}, {72, 208},
{51, 170}, {14, 148}, {117, 239}, {45, 183}, {64, 218}, {66, 216}, {62, 165},
{76, 215}, {20, 136}, {106, 246}, {97, 253}, {89, 197}, {61, 161}, {54, 170},
{46, 178}, {40, 180}, {21, 137}, {33, 188}, {57, 164}, {77, 208}, {10, 148},
{115, 237}, {105, 247}, {60, 162}, {37, 187}, {86, 200}, {59, 164}, {94, 193},
{78, 209}, {19, 179}, {100, 196}, {55, 151}, {49, 145}, {41, 137}, {83, 243},
{31, 190}, {112, 209}, {92, 253}, {38, 135}, {79, 238}, {7, 165}, {111, 205},
{103, 197}, {66, 224}, {81, 243}, {82, 240}, {11, 168}, {126, 221}, {107, 200},
{87, 244}, {23, 179}, {98, 198}, {49, 149}, {42, 142}, {67, 231}, {100, 193},
{85, 243}, {123, 221}, {99, 197}, {26, 189}, {118, 209}, {32, 135}, {63, 151},
{108, 196}, {92, 244}, {43, 130}, {94, 247}, {48, 153}, {15, 165}, {118, 220},
{22, 188}, {69, 239}, {27, 176}, {125, 214}, {109, 198}, {56, 147}, {70, 237},
{76, 231}, {91, 246}, {30, 176}, {73, 231}, {74, 228}, {18, 189}, {106, 197},
{101, 202}, {24, 183}, {70, 233}, {15, 191}, {88, 232}, {50, 130}, {41, 153},
{33, 145}, {30, 174}, {24, 168}, {84, 228}, {86, 230}, {13, 188}, {108, 221},
{65, 240}, {87, 230}, {113, 195}, {44, 159}, {121, 202}, {111, 220}, {91, 232},
{74, 249}, {83, 224}, {27, 175}, {126, 202}, {105, 221}, {88, 236}, {9, 188},
{116, 193}, {79, 250}, {7, 177}, {93, 235}, {56, 142}, {39, 145}, {48, 135},
{68, 243}, {7, 191}, {121, 193}, {96, 216}, {93, 229}, {15, 183}, {63, 135},
{71, 255}, {23, 174}, {125, 196}, {11, 177}, {119, 205}, {38, 156}, {32, 154},
{64, 251}, {127, 196}, {120, 195}, {97, 218}, {95, 228}, {85, 238}, {19, 175},
{90, 230}, {2, 191}, {1, 191}, {104, 214}, {55, 137}, {42, 149}, {9, 201}, {94,
158}, {77, 141}, {85, 149}, {33, 224}, {41, 232}, {28, 222}, {32, 226}, {8,
203}, {106, 169}, {58, 249}, {57, 250}, {34, 225}, {24, 219}, {15, 203}, {111,
171}, {98, 166}, {45, 233}, {49, 244}, {110, 171}, {101, 160}, {85, 144}, {76,
138}, {39, 224}, {97, 166}, {54, 241}, {95, 151}, {67, 138}, {68, 141}, {49,
251}, {103, 173}, {99, 169}, {20, 223}, {109, 166}, {104, 163}, {33, 234}, {21,
222}, {13, 192}, {84, 153}, {86, 155}, {44, 226}, {26, 213}, {9, 217}, {37,
245}, {32, 240}, {28, 204}, {11, 219}, {46, 255}, {105, 184}, {62, 239}, {64,
145}, {68, 149}, {51, 225}, {84, 134}, {6, 213}, {24, 203}, {12, 223}, {64,
147}, {11, 223}, {22, 194}, {13, 217}, {14, 219}, {46, 251}, {26, 204}, {38,
240}, {4, 211}, {108, 187}, {98, 181}, {97, 182}, {7, 223}, {48, 232}, {17,
201}, {10, 211}, {114, 171}, {112, 169}, {95, 134}, {40, 241}, {39, 254}, {25,
192}, {61, 228}, {8, 210}, {67, 153}, {16, 203}, {101, 190}, {76, 151}, {86,
141}, {58, 231}, {118, 171}, {5, 219}, {119, 169}, {51, 237}, {43, 245}, {42,
244}, {18, 204}, {12, 210}, {77, 147}, {10, 213}, {109, 178}, {100, 187}, {93,
130}, {39, 248}, {36, 251}, {29, 194}, {18, 242}, {123, 155}, {120, 152}, {69,
165}, {16, 241}, {50, 211}, {61, 220}, {65, 160}, {1, 227}, {56, 218}, {43,
201}, {30, 252}, {27, 248}, {126, 157}, {117, 150}, {115, 144}, {29, 254}, {66,
161}, {75, 168}, {87, 180}, {48, 212}, {121, 157}, {111, 139}, {110, 138}, {60,
216}, {20, 241}, {125, 152}, {103, 130}, {59, 222}, {45, 200}, {42, 207}, {37,
192}, {29, 248}, {74, 175}, {5, 227}, {94, 184}, {52, 210}, {25, 255}, {78,
168}, {25, 254}, {127, 152}, {41, 206}, {27, 252}, {73, 174}, {57, 208}, {113,
152}, {99, 138}, {80, 185}, {83, 186}, {34, 200}, {124, 150}, {92, 182}, {38,
204}, {88, 178}, {19, 248}, {102, 141}, {63, 212}, {73, 162}, {74, 161}, {81,
186}, {82, 185}, {53, 217}, {122, 150}, {106, 134}, {59, 215}, {70, 170}, {72,
164}, {31, 242}, {17, 255}, {115, 157}, {91, 181}, {90, 180}, {17, 254}, {116,
155}, {47, 192}, {79, 160}, {19, 227}, {107, 155}, {96, 144}, {87, 167}, {3,
242}, {55, 198}, {35, 210}, {70, 183}, {14, 252}, {71, 181}, {79, 189}, {82,
160}, {83, 161}, {6, 245}, {118, 133}, {108, 159}, {96, 147}, {62, 205}, {81,
162}, {23, 227}, {127, 139}, {114, 134}, {89, 173}, {30, 234}, {80, 164}, {112,
133}, {121, 140}, {3, 245}, {105, 159}, {4, 242}, {69, 179}, {72, 190}, {21,
226}, {124, 139}, {56, 207}, {35, 212}, {54, 206}, {125, 133}, {116, 140}, {44,
213}, {117, 140}, {55, 206}, {63, 198}, {52, 206}, {126, 132}, {100, 158}, {89,
163}, {53, 207}, {50, 201}, {107, 144}, {102, 157}, {92, 167}, {65, 186}, {66,
185}, {75, 176}, {22, 234}, {120, 132}, {119, 139}, {91, 167}, {90, 166}, {47,
211}, {40, 212}, {23, 234}, {113, 140}, {36, 217}, {31, 226}, {78, 179}, {2,
252}, {122, 132}, {60, 194}, {88, 167}, {123, 132}, {46, 256}, {71, 256}, {93,
256}, {104, 256} }>;
(II) A more general form is to represent the graph as the orbit of {128, 133}
under the group generated by the following permutations:
a: (1, 3, 2, 6)(4, 14, 10, 5)(7, 43, 15, 37)(8, 25, 20, 9)(11, 50, 24, 47)(12,
17, 16, 13)(18, 30, 44, 19)(21, 29, 28, 22)(23, 31, 27, 26)(32, 39, 38, 33)(34,
93, 70, 89)(35, 46, 40, 36)(41, 42)(45, 104, 51, 103)(48, 49)(52, 71, 54,
53)(55, 56)(57, 73, 72, 58)(59, 60)(61, 101, 74, 79)(62, 108, 69, 100)(63,
64)(65, 66)(67, 68)(75, 105, 78, 94)(76, 77)(80, 81)(82, 83)(84, 85)(86, 110,
102, 99)(87, 88)(90, 109)(91, 92)(95, 96)(97, 98)(106, 107, 114, 115)(111, 126,
112, 116)(113, 124, 120, 128)(117, 127, 122, 125)(118, 121, 119, 123)(129, 131,
143, 136)(130, 183, 163, 177)(132, 133, 140, 139)(134, 144)(135, 145)(137,
142)(138, 141)(147, 151)(149, 153)(150, 152)(154, 254, 156, 188)(155, 171, 157,
169)(158, 176, 159, 179)(160, 161)(162, 164)(165, 187)(168, 184)(170, 173, 172,
256)(174, 190, 175, 189)(178, 180)(181, 182)(185, 186)(191, 245)(192, 223, 201,
203)(193, 205, 221, 209)(194, 222)(195, 247)(196, 239)(197, 200, 229, 237)(198,
218)(199, 243)(202, 249, 250, 220)(204, 234, 226, 248)(206, 207)(208, 231)(210,
255, 241, 217)(211, 219)(212, 251)(213, 227, 242, 252)(214, 225, 235, 233)(215,
216)(224, 240)(228, 238)(230, 236)(232, 244)(246, 253) (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: (9, 17)(13, 25)(19, 23)(22, 29)(27, 30)(33, 39)(36, 46)(53, 71)(58, 73)(61,
74)(89, 104)(93, 103)(99, 110)(106, 114)(111, 119)(112, 118)(169, 171)(173,
256)(174, 175)(188, 254)(197, 229)(217, 255)(220, 249)(234, 248)
c: (1, 2)(5, 14)(9, 13)(17, 25)(19, 27)(23, 30)(37, 43)(47, 50)(62, 69)(75,
78)(89, 103)(93, 104)(111, 118)(112, 119)(124, 128)(125, 127)(129, 143)(130,
163)(133, 139)(176, 179)(192, 201)(205, 209)(214, 235)(227, 252)
d: (41, 55)(42, 56)(48, 63)(49, 64)(59, 80)(60, 81)(65, 82)(66, 83)(67, 76)(68,
77)(84, 95)(85, 96)(87, 90)(88, 109)(91, 98)(92, 97)(147, 149)(151, 153)(166,
167)(185, 186)(198, 232)(199, 215)(216, 243)(218, 244)
e: (21, 32)(28, 38)(35, 52)(40, 54)(41, 48)(55, 63)(57, 79)(59, 65)(68, 85)(72,
101)(77, 96)(80, 82)(86, 107)(87, 92)(90, 97)(102, 115)(135, 137)(141, 144)(160,
164)(180, 182)(206, 212)(208, 238)(222, 240)(230, 253)
f: (8, 16)(12, 20)(18, 31)(21, 28)(26, 44)(32, 38)(34, 51)(35, 40)(45, 70)(52,
54)(57, 72)(79, 101)(86, 102)(107, 115)(116, 121)(123, 126)(154, 156)(155,
157)(170, 172)(189, 190)(200, 237)(202, 250)(204, 226)(210, 241)
g: (2, 5)(3, 9)(4, 13)(6, 17)(7, 19)(8, 22)(10, 25)(11, 27)(12, 29)(15, 23)(16,
33)(18, 36)(20, 39)(21, 42)(24, 30)(26, 46)(28, 49)(31, 53)(32, 56)(34, 58)(35,
60)(37, 50)(38, 64)(40, 66)(41, 68)(44, 71)(45, 73)(48, 77)(51, 74)(52, 81)(54,
83)(55, 85)(57, 88)(59, 92)(61, 70)(62, 78)(63, 96)(65, 97)(67, 86)(72, 91)(76,
107)(79, 109)(80, 87)(82, 90)(84, 102)(89, 94)(93, 108)(95, 115)(98, 101)(99,
116)(100, 103)(104, 105)(106, 121)(110, 123)(111, 120)(112, 117)(113, 119)(114,
126)(118, 122)(124, 125)(129, 146)(130, 187)(131, 188)(132, 171)(133, 150)(134,
157)(135, 147)(136, 254)(137, 149)(138, 155)(139, 152)(140, 169)(141, 153)(142,
154)(143, 148)(144, 151)(145, 156)(158, 173)(159, 256)(160, 166)(161, 170)(162,
172)(163, 184)(164, 167)(165, 179)(168, 176)(174, 183)(175, 177)(178, 189)(180,
185)(181, 190)(182, 186)(191, 227)(192, 211)(193, 197)(194, 210)(195, 205)(196,
235)(198, 238)(199, 230)(200, 231)(201, 245)(202, 246)(203, 234)(204, 251)(206,
243)(207, 226)(208, 232)(209, 239)(212, 216)(213, 255)(214, 247)(215, 253)(217,
242)(218, 240)(219, 252)(220, 233)(221, 229)(222, 244)(223, 248)(224, 241)(225,
249)(228, 237)(236, 250)
h: (3, 7)(4, 11)(6, 15)(8, 20)(9, 19)(10, 24)(12, 16)(13, 27)(17, 23)(18,
34)(21, 40)(22, 39)(25, 30)(26, 45)(28, 35)(29, 33)(31, 51)(32, 54)(36, 58)(37,
62)(38, 52)(41, 63)(42, 83)(43, 69)(44, 70)(46, 73)(47, 75)(48, 55)(49, 81)(50,
78)(53, 74)(56, 66)(57, 86)(59, 87)(60, 64)(61, 71)(65, 92)(67, 109)(72,
102)(76, 88)(79, 107)(80, 90)(82, 97)(84, 98)(89, 119)(91, 95)(93, 118)(94,
113)(100, 117)(101, 115)(103, 112)(104, 111)(105, 120)(108, 122)(124, 125)(127,
128)(129, 227)(130, 209)(131, 223)(132, 221)(133, 235)(134, 246)(135, 206)(136,
203)(137, 212)(138, 236)(139, 214)(140, 193)(141, 208)(142, 224)(143, 252)(144,
238)(145, 194)(146, 191)(147, 216)(148, 219)(149, 243)(150, 196)(151, 232)(152,
247)(153, 198)(154, 241)(155, 250)(156, 210)(157, 202)(158, 225)(159, 233)(160,
253)(161, 207)(162, 251)(163, 205)(164, 230)(165, 245)(166, 199)(167, 215)(168,
211)(169, 197)(170, 226)(171, 229)(172, 204)(173, 249)(174, 255)(175, 217)(176,
192)(177, 242)(178, 231)(179, 201)(180, 222)(181, 228)(182, 240)(183, 213)(184,
195)(185, 218)(186, 244)(187, 239)(188, 248)(189, 200)(190, 237)(220, 256)(234,
254)
m: (22, 33)(29, 39)(36, 53)(42, 49)(46, 71)(56, 64)(58, 74)(60, 66)(61, 73)(67,
84)(76, 95)(81, 83)(88, 91)(98, 109)(99, 106)(110, 114)(134, 138)(142, 145)(161,
162)(178, 181)(194, 224)(207, 251)(228, 231)(236, 246)
n1: (3, 6)(4, 10)(7, 15)(8, 12)(11, 24)(16, 20)(18, 26)(31, 44)(34, 45)(51,
70)(94, 105)(100, 108)(113, 120)(116, 123)(117, 122)(121, 126)(131, 136)(132,
140)(158, 159)(177, 183)(193, 221)(203, 223)(213, 242)(225, 233)
C4[ 256, 35 ]
256
-1 146 191 227 129
-2 143 146 191 252
-3 242 146 245 131
-4 242 211 148 131
-5 148 227 129 219
-6 146 245 136 213
-7 165 177 223 191
-8 154 210 203 131
-9 188 201 129 217
-10 211 136 213 148
-11 177 168 223 219
-12 154 210 223 136
-13 143 188 192 217
-14 143 148 219 252
-15 165 191 203 183
-16 156 203 131 241
-17 254 255 201 129
-18 242 189 158 204
-19 179 248 227 175
-20 156 223 136 241
-21 154 222 137 226
-22 188 234 194 142
-23 179 234 227 174
-24 168 203 183 219
-25 143 254 255 192
-26 189 213 159 204
-27 176 248 175 252
-28 156 222 137 204
-29 254 248 194 142
-30 176 234 174 252
-31 242 190 158 226
-32 154 135 226 240
-33 188 145 234 224
-34 177 200 225 172
-35 210 212 180 172
-36 178 173 217 251
-37 187 245 192 163
-38 156 135 204 240
-39 254 145 224 248
-40 212 180 170 241
-41 232 137 206 153
-42 244 149 207 142
-43 187 201 245 130
-44 190 213 159 226
-45 200 233 172 183
-46 178 255 256 251
-47 211 192 184 163
-48 232 135 212 153
-49 145 244 149 251
-50 211 201 184 130
-51 177 170 225 237
-52 210 182 172 206
-53 181 173 217 207
-54 170 182 206 241
-55 198 137 151 206
-56 147 207 218 142
-57 189 250 164 208
-58 231 249 162 175
-59 222 215 164 186
-60 194 216 162 185
-61 220 161 228 174
-62 165 176 205 239
-63 198 135 212 151
-64 145 147 218 251
-65 160 215 240 186
-66 224 161 216 185
-67 231 199 138 153
-68 243 149 141 208
-69 165 209 179 239
-70 233 170 237 183
-71 255 256 181 207
-72 190 202 164 208
-73 220 231 162 174
-74 161 249 228 175
-75 176 168 205 195
-76 231 138 215 151
-77 147 216 141 208
-78 209 168 179 195
-79 189 160 238 250
-80 199 222 185 164
-81 243 194 162 186
-82 199 160 185 240
-83 243 224 161 186
-84 199 134 228 153
-85 144 243 149 238
-86 155 200 141 230
-87 167 244 180 230
-88 232 167 178 236
-89 214 173 163 197
-90 166 180 218 230
-91 232 167 246 181
-92 253 167 244 182
-93 256 235 130 229
-94 158 247 193 184
-95 134 215 151 228
-96 144 147 216 238
-97 253 166 182 218
-98 198 166 246 181
-99 169 236 138 197
-100 187 158 193 196
-101 190 202 160 238
-102 157 237 141 230
-103 235 173 130 197
-104 256 214 163 229
-105 221 159 247 184
-106 134 169 246 197
-107 253 144 155 200
-108 187 221 159 196
-109 198 166 178 236
-110 236 138 171 229
-111 220 171 139 205
-112 209 133 169 249
-113 225 140 195 152
-114 134 246 171 229
-115 253 144 157 237
-116 155 193 140 250
-117 225 150 140 239
-118 209 220 133 171
-119 169 139 205 249
-120 132 233 195 152
-121 157 202 193 140
-122 132 233 150 239
-123 132 155 221 250
-124 235 247 139 150
-125 133 214 152 196
-126 132 221 157 202
-127 235 139 152 196
-128 133 214 247 150
-129 1 5 17 9
-130 103 93 50 43
-131 3 4 16 8
-132 122 123 126 120
-133 112 125 128 118
-134 114 84 95 106
-135 48 38 63 32
-136 12 6 20 10
-137 55 28 41 21
-138 99 110 67 76
-139 111 124 127 119
-140 121 113 116 117
-141 77 68 102 86
-142 22 56 29 42
-143 2 13 14 25
-144 115 85 96 107
-145 33 49 39 64
-146 1 2 3 6
-147 77 56 96 64
-148 14 4 5 10
-149 68 49 85 42
-150 122 124 117 128
-151 55 95 63 76
-152 113 125 127 120
-153 67 48 84 41
-154 12 8 21 32
-155 123 116 107 86
-156 16 38 28 20
-157 121 102 115 126
-158 100 94 18 31
-159 44 26 105 108
-160 79 101 82 65
-161 66 61 83 74
-162 58 81 60 73
-163 89 47 37 104
-164 57 80 59 72
-165 69 15 7 62
-166 90 97 98 109
-167 88 91 92 87
-168 11 78 24 75
-169 99 112 106 119
-170 70 40 51 54
-171 110 111 114 118
-172 34 45 35 52
-173 89 36 103 53
-174 23 61 73 30
-175 58 27 19 74
-176 27 62 30 75
-177 11 34 7 51
-178 88 46 36 109
-179 23 78 69 19
-180 35 90 40 87
-181 91 71 53 98
-182 92 52 97 54
-183 45 24 15 70
-184 47 50 94 105
-185 66 80 60 82
-186 59 81 83 65
-187 100 37 108 43
-188 22 33 13 9
-189 57 79 26 18
-190 44 101 72 31
-191 1 2 15 7
-192 13 25 47 37
-193 121 100 94 116
-194 22 81 60 29
-195 78 113 75 120
-196 100 125 127 108
-197 99 89 103 106
-198 55 63 98 109
-199 67 80 82 84
-200 34 45 107 86
-201 17 50 9 43
-202 121 101 126 72
-203 24 15 16 8
-204 26 38 28 18
-205 111 62 75 119
-206 55 41 52 54
-207 56 71 42 53
-208 77 57 68 72
-209 78 112 69 118
-210 12 35 8 52
-211 47 4 50 10
-212 35 48 40 63
-213 44 26 6 10
-214 89 125 104 128
-215 59 95 65 76
-216 66 77 60 96
-217 13 36 9 53
-218 56 90 64 97
-219 11 24 14 5
-220 111 61 73 118
-221 123 126 105 108
-222 80 59 28 21
-223 11 12 7 20
-224 33 66 39 83
-225 34 113 51 117
-226 44 31 21 32
-227 1 23 5 19
-228 61 84 95 74
-229 110 114 93 104
-230 90 102 86 87
-231 67 58 73 76
-232 88 91 48 41
-233 45 122 70 120
-234 22 33 23 30
-235 124 103 93 127
-236 88 99 110 109
-237 102 70 115 51
-238 79 101 85 96
-239 122 69 62 117
-240 38 82 32 65
-241 16 40 20 54
-242 3 4 18 31
-243 68 81 83 85
-244 92 49 42 87
-245 3 37 6 43
-246 91 114 106 98
-247 124 94 105 128
-248 27 39 29 19
-249 112 58 74 119
-250 57 79 123 116
-251 46 36 49 64
-252 2 14 27 30
-253 92 115 107 97
-254 25 17 39 29
-255 46 25 71 17
-256 46 71 93 104
0