Graph forms
for C4 [ 256, 128 ] = SDD({4,4}_<10,6>)
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On this page are computer-accessible forms for the graph C4[ 256, 128 ] =
SDD({4,4}_<10,6>).
(I) Following is a form readable by MAGMA:
g:=Graph<256|{ {128, 191}, {128, 192}, {128, 255}, {1, 129}, {127, 255}, {126,
254}, {125, 253}, {124, 252}, {123, 251}, {122, 250}, {121, 249}, {120, 248},
{119, 247}, {118, 246}, {117, 245}, {116, 244}, {115, 243}, {114, 242}, {113,
241}, {112, 240}, {111, 239}, {110, 238}, {109, 237}, {108, 236}, {107, 235},
{106, 234}, {105, 233}, {104, 232}, {103, 231}, {102, 230}, {101, 229}, {100,
228}, {99, 227}, {97, 225}, {96, 224}, {46, 175}, {127, 254}, {125, 252}, {123,
250}, {121, 248}, {119, 246}, {117, 244}, {115, 242}, {113, 240}, {111, 238},
{109, 236}, {107, 234}, {105, 232}, {103, 230}, {101, 228}, {99, 226}, {94,
223}, {49, 176}, {3, 129}, {93, 223}, {1, 130}, {126, 253}, {122, 249}, {118,
245}, {114, 241}, {110, 237}, {106, 233}, {102, 229}, {98, 225}, {97, 226}, {92,
223}, {2, 129}, {6, 130}, {90, 222}, {42, 174}, {4, 129}, {91, 222}, {88, 221},
{55, 178}, {52, 177}, {7, 130}, {5, 131}, {89, 223}, {5, 130}, {124, 251}, {116,
243}, {108, 235}, {100, 227}, {89, 222}, {12, 132}, {86, 222}, {36, 172}, {14,
134}, {84, 220}, {10, 131}, {58, 179}, {13, 132}, {61, 180}, {82, 219}, {85,
220}, {9, 131}, {87, 221}, {39, 173}, {33, 171}, {15, 133}, {81, 219}, {8, 131},
{14, 133}, {80, 219}, {86, 221}, {8, 132}, {45, 161}, {80, 220}, {11, 133}, {83,
221}, {11, 132}, {120, 247}, {104, 231}, {83, 220}, {24, 136}, {51, 163}, {26,
138}, {72, 216}, {74, 218}, {22, 135}, {25, 136}, {70, 215}, {73, 216}, {21,
135}, {54, 164}, {48, 162}, {27, 137}, {69, 215}, {75, 217}, {20, 135}, {26,
137}, {68, 215}, {74, 217}, {18, 134}, {30, 138}, {66, 214}, {78, 218}, {16,
133}, {31, 138}, {28, 137}, {19, 134}, {64, 213}, {67, 214}, {76, 217}, {79,
218}, {17, 135}, {29, 139}, {65, 215}, {77, 219}, {17, 134}, {40, 191}, {29,
138}, {65, 214}, {77, 218}, {63, 167}, {60, 166}, {37, 190}, {20, 136}, {57,
165}, {68, 216}, {23, 137}, {71, 217}, {23, 136}, {112, 239}, {34, 189}, {71,
216}, {48, 144}, {96, 192}, {50, 146}, {75, 235}, {46, 143}, {94, 255}, {49,
144}, {2, 160}, {98, 192}, {51, 145}, {45, 143}, {3, 161}, {72, 234}, {78, 236},
{25, 186}, {50, 145}, {44, 143}, {31, 188}, {6, 162}, {54, 146}, {42, 142}, {40,
141}, {91, 254}, {88, 253}, {55, 146}, {52, 145}, {43, 142}, {41, 143}, {53,
147}, {16, 183}, {53, 146}, {41, 142}, {28, 187}, {12, 164}, {38, 142}, {36,
140}, {60, 148}, {62, 150}, {34, 139}, {58, 147}, {37, 140}, {61, 148}, {82,
251}, {85, 252}, {9, 163}, {90, 240}, {57, 147}, {39, 141}, {33, 139}, {15,
165}, {63, 149}, {66, 232}, {19, 184}, {56, 147}, {38, 141}, {32, 139}, {62,
149}, {32, 140}, {93, 241}, {56, 148}, {69, 233}, {95, 242}, {35, 141}, {59,
149}, {22, 185}, {59, 148}, {35, 140}, {24, 168}, {70, 247}, {73, 248}, {21,
167}, {27, 169}, {7, 180}, {18, 166}, {30, 170}, {64, 245}, {67, 246}, {76,
249}, {79, 250}, {4, 179}, {87, 239}, {84, 238}, {13, 182}, {44, 144}, {92,
224}, {81, 237}, {47, 145}, {10, 181}, {95, 224}, {47, 144}, {1, 193}, {127,
191}, {126, 190}, {125, 189}, {124, 188}, {123, 187}, {122, 186}, {121, 185},
{120, 184}, {119, 183}, {118, 182}, {117, 181}, {116, 180}, {115, 179}, {114,
178}, {113, 177}, {112, 176}, {111, 175}, {110, 174}, {109, 173}, {108, 172},
{107, 171}, {106, 170}, {105, 169}, {104, 168}, {103, 167}, {102, 166}, {101,
165}, {100, 164}, {99, 163}, {97, 161}, {96, 160}, {46, 239}, {127, 190}, {125,
188}, {123, 186}, {121, 184}, {119, 182}, {117, 180}, {115, 178}, {113, 176},
{111, 174}, {109, 172}, {107, 170}, {105, 168}, {103, 166}, {101, 164}, {99,
162}, {94, 159}, {49, 240}, {3, 193}, {93, 159}, {1, 194}, {126, 189}, {122,
185}, {118, 181}, {114, 177}, {110, 173}, {106, 169}, {102, 165}, {98, 161},
{97, 162}, {92, 159}, {2, 193}, {6, 194}, {90, 158}, {42, 238}, {4, 193}, {91,
158}, {88, 157}, {55, 242}, {52, 241}, {7, 194}, {5, 195}, {89, 159}, {5, 194},
{124, 187}, {116, 179}, {108, 171}, {100, 163}, {89, 158}, {12, 196}, {36, 236},
{14, 198}, {84, 156}, {86, 158}, {10, 195}, {58, 243}, {13, 196}, {61, 244},
{82, 155}, {85, 156}, {9, 195}, {87, 157}, {39, 237}, {33, 235}, {15, 197}, {81,
155}, {8, 195}, {14, 197}, {80, 155}, {86, 157}, {8, 196}, {45, 225}, {80, 156},
{11, 197}, {83, 157}, {11, 196}, {120, 183}, {104, 167}, {83, 156}, {24, 200},
{51, 227}, {26, 202}, {72, 152}, {74, 154}, {22, 199}, {25, 200}, {70, 151},
{73, 152}, {21, 199}, {54, 228}, {48, 226}, {27, 201}, {69, 151}, {75, 153},
{20, 199}, {26, 201}, {68, 151}, {74, 153}, {18, 198}, {30, 202}, {66, 150},
{78, 154}, {16, 197}, {31, 202}, {28, 201}, {19, 198}, {64, 149}, {67, 150},
{76, 153}, {79, 154}, {17, 199}, {29, 203}, {65, 151}, {77, 155}, {17, 198},
{40, 255}, {29, 202}, {65, 150}, {77, 154}, {63, 231}, {60, 230}, {37, 254},
{20, 200}, {57, 229}, {68, 152}, {23, 201}, {71, 153}, {23, 200}, {112, 175},
{34, 253}, {71, 152}, {48, 208}, {50, 210}, {75, 171}, {46, 207}, {94, 191},
{49, 208}, {2, 224}, {51, 209}, {45, 207}, {3, 225}, {72, 170}, {78, 172}, {25,
250}, {50, 209}, {44, 207}, {31, 252}, {6, 226}, {54, 210}, {42, 206}, {40,
205}, {91, 190}, {88, 189}, {55, 210}, {52, 209}, {43, 206}, {41, 207}, {53,
211}, {16, 247}, {53, 210}, {41, 206}, {28, 251}, {12, 228}, {38, 206}, {36,
204}, {60, 212}, {62, 214}, {34, 203}, {58, 211}, {37, 204}, {61, 212}, {82,
187}, {85, 188}, {9, 227}, {90, 176}, {57, 211}, {39, 205}, {33, 203}, {15,
229}, {63, 213}, {66, 168}, {19, 248}, {56, 211}, {43, 192}, {38, 205}, {32,
203}, {62, 213}, {32, 204}, {93, 177}, {56, 212}, {69, 169}, {95, 178}, {35,
205}, {59, 213}, {22, 249}, {35, 204}, {59, 212}, {24, 232}, {70, 183}, {73,
184}, {21, 231}, {27, 233}, {7, 244}, {18, 230}, {30, 234}, {64, 181}, {67,
182}, {76, 185}, {79, 186}, {4, 243}, {87, 175}, {84, 174}, {13, 246}, {44,
208}, {92, 160}, {81, 173}, {47, 209}, {10, 245}, {95, 160}, {47, 208}, {43,
256}, {96, 256}, {98, 256}, {128, 256} }>;
(II) A more general form is to represent the graph as the orbit of {128, 191}
under the group generated by the following permutations:
a: (160, 224) (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: (140, 204)
c: (135, 199)
d: (156, 220)
e: (168, 232)
f: (173, 237)
g: (190, 254)
h: (183, 247)
m: (157, 221)
n1: (134, 198)
a1: (174, 238)
b1: (167, 231)
c1: (141, 205)
d1: (150, 214)
e1: (176, 240)
f1: (165, 229)
g1: (164, 228)
h1: (177, 241)
m1: (143, 207)
n2: (148, 212)
a2: (159, 223)
b2: (132, 196)
c2: (192, 256)
d2: (181, 245)
e2: (178, 242)
f2: (163, 227)
g2: (180, 244)
h2: (161, 225)
m2: (162, 226)
n3: (179, 243)
a3: (131, 195)
b3: (144, 208)
c3: (147, 211)
d3: (142, 206)
e3: (149, 213)
f3: (191, 255)
g3: (182, 246)
h3: (175, 239)
m3: (166, 230)
n4: (158, 222)
a4: (133, 197)
b4: (146, 210)
c4: (145, 209)
d4: (151, 215)
e4: (189, 253)
f4: (184, 248)
g4: (152, 216)
h4: (139, 203)
m4: (185, 249)
n5: (188, 252)
a5: (136, 200)
b5: (155, 219)
c5: (169, 233)
d5: (172, 236)
e5: (138, 202)
f5: (153, 217)
g5: (187, 251)
h5: (186, 250)
m5: (171, 235)
n6: (170, 234)
a6: (154, 218)
b6: (130, 194)
c6: (129, 193)
d6: (1, 2, 92, 89, 86, 83, 80, 77, 74, 71, 68, 65, 62, 59, 56, 53, 50, 47, 44,
41, 38, 35, 32, 29, 26, 23, 20, 17, 14, 11, 8, 5)(3, 96, 94, 91, 88, 85, 82, 79,
76, 73, 70, 67, 64, 61, 58, 55, 52, 49, 46, 42, 39, 36, 33, 30, 27, 24, 21, 18,
15, 12, 9, 6)(4, 95, 93, 90, 87, 84, 81, 78, 75, 72, 69, 66, 63, 60, 57, 54, 51,
48, 45, 43, 40, 37, 34, 31, 28, 25, 22, 19, 16, 13, 10, 7)(97, 98, 128, 127,
126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111,
110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99)(129, 160, 159, 158,
157, 156, 155, 154, 153, 152, 151, 150, 149, 148, 147, 146, 145, 144, 143, 142,
141, 140, 139, 138, 137, 136, 135, 134, 133, 132, 131, 130)(161, 192, 191, 190,
189, 188, 187, 186, 185, 184, 183, 182, 181, 180, 179, 178, 177, 176, 175, 174,
173, 172, 171, 170, 169, 168, 167, 166, 165, 164, 163, 162)(193, 224, 223, 222,
221, 220, 219, 218, 217, 216, 215, 214, 213, 212, 211, 210, 209, 208, 207, 206,
205, 204, 203, 202, 201, 200, 199, 198, 197, 196, 195, 194)(225, 256, 255, 254,
253, 252, 251, 250, 249, 248, 247, 246, 245, 244, 243, 242, 241, 240, 239, 238,
237, 236, 235, 234, 233, 232, 231, 230, 229, 228, 227, 226)
e6: (1, 3)(2, 4)(5, 45)(6, 97)(7, 98)(8, 46)(9, 44)(10, 41)(11, 87)(12, 112)(13,
111)(14, 88)(15, 86)(16, 83)(17, 34)(18, 126)(19, 125)(20, 33)(21, 32)(22,
29)(23, 75)(24, 108)(25, 107)(26, 76)(27, 74)(28, 71)(30, 122)(31, 121)(35,
63)(36, 104)(37, 103)(38, 64)(39, 62)(40, 59)(42, 118)(43, 117)(47, 51)(48,
99)(49, 100)(50, 52)(53, 93)(54, 113)(55, 114)(56, 94)(57, 89)(58, 92)(60,
127)(61, 128)(65, 81)(66, 109)(67, 110)(68, 82)(69, 77)(70, 80)(72, 123)(73,
124)(78, 105)(79, 106)(84, 119)(85, 120)(90, 101)(91, 102)(95, 115)(96,
116)(130, 161)(131, 143)(132, 175)(133, 157)(134, 189)(135, 139)(136, 171)(137,
153)(138, 185)(140, 167)(141, 149)(142, 181)(144, 163)(146, 177)(147, 159)(148,
191)(150, 173)(151, 155)(152, 187)(154, 169)(156, 183)(158, 165)(160, 179)(164,
176)(166, 190)(168, 172)(170, 186)(174, 182)(180, 192)(184, 188)(194, 225)(195,
207)(196, 239)(197, 221)(198, 253)(199, 203)(200, 235)(201, 217)(202, 249)(204,
231)(205, 213)(206, 245)(208, 227)(210, 241)(211, 223)(212, 255)(214, 237)(215,
219)(216, 251)(218, 233)(220, 247)(222, 229)(224, 243)(228, 240)(230, 254)(232,
236)(234, 250)(238, 246)(244, 256)(248, 252)
f6: (2, 5)(3, 7)(4, 6)(8, 92)(9, 95)(10, 96)(11, 89)(12, 93)(13, 94)(14, 86)(15,
90)(16, 91)(17, 83)(18, 87)(19, 88)(20, 80)(21, 84)(22, 85)(23, 77)(24, 81)(25,
82)(26, 74)(27, 78)(28, 79)(29, 71)(30, 75)(31, 76)(32, 68)(33, 72)(34, 73)(35,
65)(36, 69)(37, 70)(38, 62)(39, 66)(40, 67)(41, 59)(42, 63)(43, 64)(44, 56)(45,
61)(46, 60)(47, 53)(48, 58)(49, 57)(51, 55)(52, 54)(97, 116)(98, 117)(99,
115)(100, 114)(101, 113)(102, 112)(103, 111)(104, 110)(105, 109)(106, 108)(118,
128)(119, 127)(120, 126)(121, 125)(122, 124)(129, 130)(131, 160)(132, 159)(133,
158)(134, 157)(135, 156)(136, 155)(137, 154)(138, 153)(139, 152)(140, 151)(141,
150)(142, 149)(143, 148)(144, 147)(145, 146)(161, 180)(162, 179)(163, 178)(164,
177)(165, 176)(166, 175)(167, 174)(168, 173)(169, 172)(170, 171)(181, 192)(182,
191)(183, 190)(184, 189)(185, 188)(186, 187)(193, 194)(195, 224)(196, 223)(197,
222)(198, 221)(199, 220)(200, 219)(201, 218)(202, 217)(203, 216)(204, 215)(205,
214)(206, 213)(207, 212)(208, 211)(209, 210)(225, 244)(226, 243)(227, 242)(228,
241)(229, 240)(230, 239)(231, 238)(232, 237)(233, 236)(234, 235)(245, 256)(246,
255)(247, 254)(248, 253)(249, 252)(250, 251)
C4[ 256, 128 ]
256
-1 193 194 129 130
-2 224 160 193 129
-3 225 193 161 129
-4 243 179 193 129
-5 194 195 130 131
-6 226 194 162 130
-7 244 180 194 130
-8 132 195 196 131
-9 227 195 163 131
-10 245 181 195 131
-11 132 133 196 197
-12 132 228 196 164
-13 132 246 182 196
-14 198 133 134 197
-15 165 133 229 197
-16 133 247 183 197
-17 198 199 134 135
-18 198 166 134 230
-19 198 134 248 184
-20 199 200 135 136
-21 231 199 167 135
-22 199 135 249 185
-23 200 201 136 137
-24 232 200 168 136
-25 200 136 250 186
-26 201 202 137 138
-27 233 201 169 137
-28 187 201 137 251
-29 202 203 138 139
-30 234 202 170 138
-31 188 202 138 252
-32 203 204 139 140
-33 235 203 171 139
-34 253 189 203 139
-35 204 205 140 141
-36 236 204 172 140
-37 254 190 204 140
-38 205 206 141 142
-39 237 205 173 141
-40 255 191 205 141
-41 143 206 207 142
-42 238 206 174 142
-43 256 192 206 142
-44 143 144 207 208
-45 143 225 161 207
-46 143 239 207 175
-47 209 144 145 208
-48 144 226 162 208
-49 176 144 240 208
-50 209 210 145 146
-51 209 145 227 163
-52 209 177 145 241
-53 210 211 146 147
-54 210 146 228 164
-55 242 210 178 146
-56 211 212 147 148
-57 165 211 147 229
-58 243 211 179 147
-59 212 213 148 149
-60 166 212 148 230
-61 244 212 180 148
-62 213 214 149 150
-63 231 167 213 149
-64 245 213 181 149
-65 214 215 150 151
-66 232 168 214 150
-67 246 214 182 150
-68 215 216 151 152
-69 233 169 215 151
-70 247 215 183 151
-71 216 217 152 153
-72 234 170 216 152
-73 248 216 184 152
-74 154 217 218 153
-75 235 171 217 153
-76 249 217 185 153
-77 154 155 218 219
-78 154 236 172 218
-79 154 250 218 186
-80 220 155 156 219
-81 155 237 173 219
-82 187 155 251 219
-83 220 221 156 157
-84 220 156 238 174
-85 220 188 156 252
-86 221 222 157 158
-87 221 157 239 175
-88 253 221 189 157
-89 222 223 158 159
-90 176 222 158 240
-91 254 222 190 158
-92 223 224 159 160
-93 177 223 159 241
-94 255 223 191 159
-95 242 178 224 160
-96 256 224 192 160
-97 225 226 161 162
-98 256 192 225 161
-99 226 227 162 163
-100 227 228 163 164
-101 165 228 229 164
-102 165 166 229 230
-103 231 166 167 230
-104 231 232 167 168
-105 232 233 168 169
-106 233 234 169 170
-107 234 235 170 171
-108 235 236 171 172
-109 236 237 172 173
-110 237 238 173 174
-111 238 239 174 175
-112 176 239 240 175
-113 176 177 240 241
-114 242 177 178 241
-115 242 243 178 179
-116 243 244 179 180
-117 244 245 180 181
-118 245 246 181 182
-119 246 247 182 183
-120 247 248 183 184
-121 248 249 184 185
-122 249 250 185 186
-123 187 250 251 186
-124 187 188 251 252
-125 253 188 189 252
-126 253 254 189 190
-127 254 255 190 191
-128 255 256 191 192
-129 1 2 3 4
-130 1 5 6 7
-131 5 8 9 10
-132 11 12 13 8
-133 11 14 15 16
-134 14 17 18 19
-135 22 17 20 21
-136 23 24 25 20
-137 23 26 27 28
-138 26 29 30 31
-139 33 34 29 32
-140 35 36 37 32
-141 35 38 39 40
-142 38 41 42 43
-143 44 45 46 41
-144 44 47 48 49
-145 47 50 51 52
-146 55 50 53 54
-147 56 57 58 53
-148 56 59 60 61
-149 59 62 63 64
-150 66 67 62 65
-151 68 69 70 65
-152 68 71 72 73
-153 71 74 75 76
-154 77 78 79 74
-155 77 80 81 82
-156 80 83 84 85
-157 88 83 86 87
-158 89 90 91 86
-159 89 92 93 94
-160 2 92 95 96
-161 45 3 97 98
-162 99 48 6 97
-163 99 100 51 9
-164 12 100 101 54
-165 57 101 102 15
-166 102 103 60 18
-167 103 104 63 21
-168 66 24 104 105
-169 69 27 105 106
-170 72 106 30 107
-171 33 107 75 108
-172 78 36 108 109
-173 110 81 39 109
-174 110 111 84 42
-175 111 46 112 87
-176 90 112 113 49
-177 113 114 93 52
-178 55 114 115 95
-179 58 4 115 116
-180 61 116 7 117
-181 117 118 64 10
-182 67 13 118 119
-183 70 16 119 120
-184 121 73 19 120
-185 22 121 122 76
-186 122 79 123 25
-187 123 124 82 28
-188 124 125 85 31
-189 88 34 125 126
-190 91 37 126 127
-191 94 127 40 128
-192 128 96 43 98
-193 1 2 3 4
-194 1 5 6 7
-195 5 8 9 10
-196 11 12 13 8
-197 11 14 15 16
-198 14 17 18 19
-199 22 17 20 21
-200 23 24 25 20
-201 23 26 27 28
-202 26 29 30 31
-203 33 34 29 32
-204 35 36 37 32
-205 35 38 39 40
-206 38 41 42 43
-207 44 45 46 41
-208 44 47 48 49
-209 47 50 51 52
-210 55 50 53 54
-211 56 57 58 53
-212 56 59 60 61
-213 59 62 63 64
-214 66 67 62 65
-215 68 69 70 65
-216 68 71 72 73
-217 71 74 75 76
-218 77 78 79 74
-219 77 80 81 82
-220 80 83 84 85
-221 88 83 86 87
-222 89 90 91 86
-223 89 92 93 94
-224 2 92 95 96
-225 45 3 97 98
-226 99 48 6 97
-227 99 100 51 9
-228 12 100 101 54
-229 57 101 102 15
-230 102 103 60 18
-231 103 104 63 21
-232 66 24 104 105
-233 69 27 105 106
-234 72 106 30 107
-235 33 107 75 108
-236 78 36 108 109
-237 110 81 39 109
-238 110 111 84 42
-239 111 46 112 87
-240 90 112 113 49
-241 113 114 93 52
-242 55 114 115 95
-243 58 4 115 116
-244 61 116 7 117
-245 117 118 64 10
-246 67 13 118 119
-247 70 16 119 120
-248 121 73 19 120
-249 22 121 122 76
-250 122 79 123 25
-251 123 124 82 28
-252 124 125 85 31
-253 88 34 125 126
-254 91 37 126 127
-255 94 127 40 128
-256 128 96 43 98
0