Graph forms
for C4 [ 256, 116 ] = SDD({4,4}_8,0)
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On this page are computer-accessible forms for the graph C4[ 256, 116 ] =
SDD({4,4}_8,0).
(I) Following is a form readable by MAGMA:
g:=Graph<256|{ {128, 251}, {128, 254}, {128, 255}, {1, 129}, {126, 254}, {80,
208}, {69, 197}, {68, 196}, {65, 193}, {8, 136}, {9, 137}, {10, 138}, {11, 139},
{23, 151}, {24, 152}, {27, 155}, {28, 156}, {36, 164}, {94, 222}, {97, 225},
{98, 226}, {122, 250}, {124, 252}, {3, 130}, {71, 198}, {56, 185}, {54, 183},
{5, 132}, {7, 134}, {12, 141}, {14, 143}, {16, 145}, {18, 147}, {20, 149}, {31,
158}, {35, 162}, {42, 171}, {83, 210}, {88, 217}, {101, 228}, {110, 239}, {112,
241}, {116, 245}, {120, 249}, {1, 131}, {5, 135}, {22, 148}, {86, 212}, {114,
240}, {115, 241}, {125, 255}, {1, 130}, {126, 253}, {2, 129}, {6, 133}, {13,
142}, {16, 147}, {21, 150}, {24, 155}, {30, 157}, {32, 163}, {35, 160}, {46,
173}, {99, 224}, {119, 244}, {121, 250}, {125, 254}, {1, 133}, {73, 205}, {70,
194}, {60, 184}, {2, 134}, {3, 135}, {8, 140}, {40, 172}, {41, 173}, {49, 181},
{82, 214}, {85, 209}, {87, 211}, {102, 226}, {118, 242}, {124, 248}, {36, 161},
{80, 213}, {79, 202}, {74, 207}, {45, 168}, {111, 234}, {122, 255}, {2, 132},
{127, 249}, {65, 199}, {63, 185}, {57, 191}, {11, 141}, {47, 169}, {81, 215},
{89, 223}, {104, 238}, {107, 237}, {121, 255}, {123, 253}, {125, 251}, {4, 131},
{19, 148}, {29, 154}, {33, 166}, {84, 211}, {96, 231}, {100, 227}, {104, 239},
{124, 251}, {24, 144}, {127, 247}, {56, 176}, {25, 145}, {34, 170}, {114, 250},
{3, 138}, {59, 178}, {19, 154}, {42, 163}, {85, 220}, {106, 227}, {108, 229},
{111, 230}, {112, 249}, {117, 252}, {122, 243}, {6, 140}, {76, 198}, {73, 195},
{70, 204}, {7, 141}, {115, 249}, {118, 252}, {120, 242}, {121, 243}, {2, 137},
{67, 200}, {66, 201}, {58, 177}, {49, 186}, {4, 143}, {18, 153}, {44, 167}, {46,
165}, {110, 229}, {4, 136}, {62, 178}, {7, 139}, {16, 156}, {22, 154}, {34,
174}, {35, 175}, {40, 164}, {41, 165}, {109, 225}, {121, 245}, {123, 247}, {3,
142}, {127, 242}, {72, 197}, {11, 134}, {43, 166}, {95, 210}, {105, 228}, {117,
248}, {61, 179}, {103, 233}, {117, 251}, {4, 139}, {79, 192}, {63, 176}, {57,
182}, {55, 184}, {52, 187}, {51, 188}, {25, 150}, {91, 212}, {120, 247}, {122,
245}, {5, 149}, {80, 192}, {6, 150}, {92, 204}, {94, 206}, {95, 207}, {102,
246}, {110, 254}, {124, 236}, {9, 152}, {77, 220}, {90, 203}, {92, 205}, {126,
239}, {17, 131}, {50, 160}, {29, 143}, {91, 201}, {113, 227}, {7, 148}, {76,
223}, {60, 175}, {12, 159}, {26, 137}, {81, 194}, {82, 193}, {85, 198}, {89,
202}, {110, 253}, {13, 153}, {57, 173}, {14, 154}, {15, 155}, {36, 176}, {44,
184}, {45, 185}, {83, 199}, {98, 246}, {114, 230}, {115, 231}, {5, 144}, {50,
167}, {8, 157}, {25, 140}, {32, 181}, {81, 196}, {82, 199}, {100, 241}, {101,
240}, {111, 250}, {113, 228}, {10, 156}, {72, 222}, {88, 206}, {93, 203}, {97,
247}, {6, 145}, {65, 214}, {9, 158}, {15, 152}, {107, 252}, {112, 231}, {49,
169}, {75, 211}, {74, 210}, {71, 223}, {55, 175}, {54, 174}, {51, 171}, {114,
234}, {116, 236}, {119, 239}, {10, 147}, {77, 212}, {68, 221}, {17, 136}, {34,
187}, {42, 179}, {105, 240}, {107, 242}, {109, 244}, {112, 233}, {117, 236},
{119, 238}, {16, 138}, {75, 209}, {52, 174}, {17, 139}, {98, 248}, {115, 233},
{123, 225}, {9, 146}, {69, 222}, {10, 145}, {26, 129}, {106, 241}, {118, 237},
{126, 229}, {25, 133}, {26, 134}, {43, 183}, {84, 200}, {97, 253}, {104, 244},
{43, 182}, {78, 211}, {12, 146}, {52, 170}, {17, 143}, {26, 132}, {32, 190},
{47, 177}, {102, 248}, {8, 151}, {78, 209}, {51, 172}, {11, 148}, {15, 144},
{86, 201}, {87, 200}, {108, 243}, {111, 240}, {31, 191}, {53, 149}, {96, 192},
{19, 178}, {38, 135}, {87, 246}, {28, 190}, {72, 234}, {30, 188}, {39, 133},
{84, 246}, {108, 206}, {18, 177}, {75, 232}, {103, 196}, {22, 178}, {38, 130},
{39, 131}, {39, 130}, {53, 144}, {14, 168}, {78, 232}, {21, 179}, {27, 189},
{39, 129}, {83, 245}, {116, 210}, {23, 176}, {76, 235}, {57, 158}, {48, 151},
{109, 202}, {38, 142}, {28, 181}, {31, 182}, {12, 166}, {13, 167}, {15, 165},
{50, 153}, {52, 159}, {118, 221}, {33, 141}, {74, 230}, {71, 235}, {37, 137},
{38, 138}, {13, 160}, {77, 224}, {68, 233}, {48, 157}, {89, 244}, {94, 243},
{51, 157}, {119, 217}, {123, 213}, {14, 161}, {69, 234}, {27, 180}, {91, 235},
{96, 208}, {102, 214}, {53, 132}, {104, 217}, {105, 216}, {106, 219}, {30, 172},
{53, 135}, {31, 173}, {90, 232}, {108, 222}, {109, 223}, {23, 164}, {33, 146},
{36, 151}, {100, 215}, {105, 218}, {116, 199}, {20, 160}, {97, 213}, {98, 214},
{29, 168}, {30, 171}, {91, 238}, {93, 232}, {96, 213}, {20, 162}, {21, 163},
{23, 161}, {35, 149}, {47, 153}, {107, 221}, {37, 146}, {80, 231}, {99, 212},
{48, 136}, {86, 238}, {89, 225}, {90, 226}, {92, 228}, {19, 170}, {27, 162},
{84, 237}, {95, 230}, {87, 237}, {90, 224}, {103, 221}, {18, 169}, {20, 175},
{37, 158}, {94, 229}, {22, 170}, {50, 142}, {29, 161}, {32, 156}, {42, 150},
{47, 147}, {48, 140}, {113, 205}, {24, 165}, {34, 159}, {37, 152}, {86, 235},
{93, 224}, {101, 216}, {106, 215}, {113, 204}, {21, 171}, {33, 159}, {28, 163},
{83, 236}, {92, 227}, {93, 226}, {99, 220}, {100, 219}, {101, 218}, {64, 155},
{99, 191}, {103, 186}, {44, 204}, {45, 205}, {81, 177}, {61, 220}, {73, 168},
{70, 167}, {40, 202}, {64, 162}, {41, 203}, {43, 201}, {95, 189}, {56, 219},
{79, 172}, {59, 216}, {63, 219}, {66, 166}, {46, 203}, {60, 218}, {62, 216},
{82, 180}, {85, 179}, {40, 192}, {56, 208}, {41, 193}, {67, 169}, {79, 164},
{61, 209}, {55, 218}, {58, 215}, {44, 194}, {45, 195}, {46, 193}, {63, 208},
{54, 217}, {88, 183}, {73, 185}, {78, 190}, {76, 188}, {77, 191}, {60, 207},
{72, 187}, {64, 180}, {66, 182}, {65, 180}, {75, 190}, {66, 183}, {67, 181},
{88, 174}, {74, 189}, {54, 206}, {59, 195}, {58, 194}, {55, 207}, {49, 200},
{67, 186}, {61, 198}, {71, 188}, {62, 197}, {62, 195}, {64, 189}, {58, 196},
{70, 184}, {69, 187}, {68, 186}, {59, 197}, {120, 256}, {125, 256}, {127, 256},
{128, 256} }>;
(II) A more general form is to represent the graph as the orbit of {128, 251}
under the group generated by the following permutations:
a: (83, 116) (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: (92, 113)
c: (3, 38)
d: (28, 32)
e: (110, 126)
f: (13, 50)
g: (74, 95)
h: (107, 118)
m: (112, 115)
n1: (9, 37)
a1: (80, 96)
b1: (7, 11)
c1: (21, 42)
d1: (56, 63)
e1: (120, 127)
f1: (100, 106)
g1: (121, 122)
h1: (65, 82)
m1: (2, 3)(4, 6)(7, 10)(9, 13)(11, 16)(12, 18)(14, 21)(15, 20)(17, 25)(19,
28)(22, 32)(23, 30)(24, 35)(26, 38)(29, 42)(31, 44)(33, 47)(34, 49)(36, 51)(37,
50)(41, 55)(43, 58)(45, 61)(46, 60)(52, 67)(54, 68)(56, 71)(57, 70)(59, 75)(62,
78)(63, 76)(65, 74)(66, 81)(69, 84)(72, 87)(73, 85)(77, 92)(80, 89)(82, 95)(86,
100)(88, 103)(90, 101)(91, 106)(93, 105)(94, 107)(96, 109)(98, 111)(99,
113)(102, 114)(104, 112)(108, 118)(110, 120)(115, 119)(117, 121)(122, 124)(126,
127)(129, 130)(131, 133)(132, 135)(134, 138)(136, 140)(137, 142)(139, 145)(141,
147)(143, 150)(144, 149)(146, 153)(148, 156)(151, 157)(152, 160)(154, 163)(155,
162)(158, 167)(159, 169)(161, 171)(164, 172)(165, 175)(166, 177)(168, 179)(170,
181)(173, 184)(174, 186)(176, 188)(178, 190)(180, 189)(182, 194)(183, 196)(185,
198)(187, 200)(191, 204)(192, 202)(193, 207)(195, 209)(197, 211)(199, 210)(201,
215)(203, 218)(205, 220)(206, 221)(208, 223)(212, 227)(213, 225)(214, 230)(216,
232)(217, 233)(219, 235)(222, 237)(224, 228)(226, 240)(229, 242)(231, 244)(234,
246)(236, 245)(238, 241)(239, 249)(243, 252)(247, 253)(248, 250)(251, 255)(254,
256)
n2: (77, 99)
a2: (98, 102)
b2: (15, 24)
c2: (97, 123)
d2: (43, 66)
e2: (20, 35)
f2: (5, 53)
g2: (101, 105)
h2: (125, 128)
m2: (59, 62)
n3: (1, 2)(3, 5)(4, 7)(6, 9)(8, 12)(10, 15)(11, 17)(13, 20)(14, 19)(16, 24)(18,
27)(21, 31)(22, 29)(23, 34)(25, 37)(26, 39)(28, 41)(30, 43)(32, 46)(33, 48)(35,
50)(36, 52)(38, 53)(40, 54)(42, 57)(44, 55)(45, 59)(47, 64)(49, 65)(51, 66)(56,
69)(58, 74)(60, 70)(61, 77)(62, 73)(63, 72)(67, 82)(68, 83)(71, 86)(75, 90)(76,
91)(78, 93)(79, 88)(80, 94)(81, 95)(84, 98)(85, 99)(87, 102)(89, 104)(92,
101)(96, 108)(97, 110)(100, 111)(103, 116)(105, 113)(106, 114)(107, 117)(109,
119)(112, 121)(115, 122)(118, 124)(120, 125)(123, 126)(127, 128)(130, 132)(131,
134)(133, 137)(136, 141)(138, 144)(140, 146)(142, 149)(143, 148)(145, 152)(147,
155)(150, 158)(151, 159)(153, 162)(156, 165)(157, 166)(161, 170)(163, 173)(164,
174)(167, 175)(168, 178)(169, 180)(171, 182)(172, 183)(176, 187)(177, 189)(179,
191)(181, 193)(185, 197)(186, 199)(188, 201)(190, 203)(192, 206)(194, 207)(196,
210)(198, 212)(200, 214)(202, 217)(204, 218)(205, 216)(208, 222)(209, 224)(211,
226)(213, 229)(215, 230)(219, 234)(221, 236)(223, 238)(225, 239)(227, 240)(231,
243)(233, 245)(237, 248)(241, 250)(242, 251)(247, 254)(249, 255)
a3: (19, 22)
b3: (45, 73)
c3: (23, 36)
d3: (31, 57)
e3: (90, 93)
f3: (69, 72)
g3: (10, 16)
h3: (86, 91)
m3: (117, 124)
n4: (55, 60)
a4: (49, 67)
b4: (40, 79)
c4: (18, 47)
d4: (75, 78)
e4: (71, 76)
f4: (89, 109)
g4: (34, 52)
h4: (8, 48)
m4: (84, 87)
n5: (58, 81)
a5: (41, 46)
b5: (44, 70)
c5: (27, 64)
d5: (111, 114)
e5: (94, 108)
f5: (12, 33)
g5: (14, 29)
h5: (2, 26)
m5: (104, 119)
n6: (6, 25)
a6: (30, 51)
b6: (3, 4)(5, 7)(8, 10)(11, 53)(12, 15)(13, 14)(16, 48)(17, 38)(18, 23)(19,
20)(22, 35)(24, 33)(27, 34)(28, 30)(29, 50)(32, 51)(36, 47)(40, 49)(41, 43)(44,
45)(46, 66)(52, 64)(54, 65)(55, 59)(56, 58)(60, 62)(63, 81)(67, 79)(68, 80)(69,
74)(70, 73)(71, 75)(72, 95)(76, 78)(82, 88)(83, 94)(84, 89)(86, 90)(87, 109)(91,
93)(96, 103)(97, 107)(98, 104)(102, 119)(108, 116)(110, 117)(118, 123)(124,
126)(130, 131)(132, 134)(135, 139)(136, 138)(140, 145)(141, 144)(142, 143)(146,
152)(147, 151)(148, 149)(153, 161)(154, 160)(155, 159)(156, 157)(162, 170)(163,
171)(164, 169)(165, 166)(167, 168)(172, 181)(173, 182)(174, 180)(175, 178)(176,
177)(183, 193)(184, 195)(185, 194)(186, 192)(187, 189)(188, 190)(196, 208)(197,
207)(198, 209)(199, 206)(200, 202)(201, 203)(204, 205)(210, 222)(211, 223)(212,
224)(213, 221)(214, 217)(215, 219)(216, 218)(225, 237)(226, 238)(229, 236)(230,
234)(231, 233)(232, 235)(239, 248)(242, 247)(243, 245)(244, 246)(251, 254)(252,
253)
c6: (61, 85)
d6: (4, 17)
e6: (68, 103)
C4[ 256, 116 ]
256
-1 133 129 130 131
-2 132 134 137 129
-3 135 138 130 142
-4 143 136 139 131
-5 132 144 135 149
-6 133 145 150 140
-7 134 148 139 141
-8 157 136 140 151
-9 146 158 137 152
-10 145 156 147 138
-11 134 148 139 141
-12 166 146 159 141
-13 167 160 142 153
-14 143 154 168 161
-15 165 144 155 152
-16 145 156 147 138
-17 143 136 139 131
-18 177 147 169 153
-19 154 178 148 170
-20 149 160 162 175
-21 179 171 150 163
-22 154 178 148 170
-23 176 161 151 164
-24 165 144 155 152
-25 133 145 150 140
-26 132 134 137 129
-27 155 189 180 162
-28 156 190 181 163
-29 143 154 168 161
-30 188 157 171 172
-31 158 191 182 173
-32 156 190 181 163
-33 166 146 159 141
-34 187 159 170 174
-35 149 160 162 175
-36 176 161 151 164
-37 146 158 137 152
-38 135 138 130 142
-39 133 129 130 131
-40 202 192 172 164
-41 165 203 193 173
-42 179 171 150 163
-43 166 201 182 183
-44 167 204 194 184
-45 168 205 195 185
-46 165 203 193 173
-47 177 147 169 153
-48 157 136 140 151
-49 200 169 181 186
-50 167 160 142 153
-51 188 157 171 172
-52 187 159 170 174
-53 132 144 135 149
-54 183 206 217 174
-55 184 207 218 175
-56 176 185 208 219
-57 158 191 182 173
-58 177 215 194 196
-59 178 216 195 197
-60 184 207 218 175
-61 198 209 220 179
-62 178 216 195 197
-63 176 185 208 219
-64 155 189 180 162
-65 199 180 214 193
-66 166 201 182 183
-67 200 169 181 186
-68 221 233 196 186
-69 187 222 234 197
-70 167 204 194 184
-71 198 188 223 235
-72 187 222 234 197
-73 168 205 195 185
-74 210 189 207 230
-75 209 232 211 190
-76 198 188 223 235
-77 220 212 191 224
-78 209 232 211 190
-79 202 192 172 164
-80 231 213 192 208
-81 177 215 194 196
-82 199 180 214 193
-83 199 210 245 236
-84 200 211 246 237
-85 198 209 220 179
-86 201 212 235 238
-87 200 211 246 237
-88 183 206 217 174
-89 244 223 202 225
-90 232 224 203 226
-91 201 212 235 238
-92 204 205 227 228
-93 232 224 203 226
-94 243 222 206 229
-95 210 189 207 230
-96 231 213 192 208
-97 253 213 225 247
-98 246 214 226 248
-99 220 212 191 224
-100 215 227 219 241
-101 216 228 218 240
-102 246 214 226 248
-103 221 233 196 186
-104 244 238 217 239
-105 216 228 218 240
-106 215 227 219 241
-107 242 221 237 252
-108 243 222 206 229
-109 244 223 202 225
-110 253 254 239 229
-111 234 250 240 230
-112 231 233 249 241
-113 204 205 227 228
-114 234 250 240 230
-115 231 233 249 241
-116 199 210 245 236
-117 236 248 251 252
-118 242 221 237 252
-119 244 238 217 239
-120 242 256 247 249
-121 243 255 245 250
-122 243 255 245 250
-123 253 213 225 247
-124 236 248 251 252
-125 254 255 256 251
-126 253 254 239 229
-127 242 256 247 249
-128 254 255 256 251
-129 1 2 26 39
-130 1 3 38 39
-131 1 4 17 39
-132 2 26 5 53
-133 1 25 6 39
-134 11 2 26 7
-135 3 5 38 53
-136 4 48 17 8
-137 2 26 37 9
-138 3 16 38 10
-139 11 4 17 7
-140 25 48 6 8
-141 11 33 12 7
-142 13 3 38 50
-143 14 4 17 29
-144 24 15 5 53
-145 25 16 6 10
-146 33 12 37 9
-147 47 16 18 10
-148 11 22 7 19
-149 35 5 20 53
-150 25 6 42 21
-151 23 36 48 8
-152 24 15 37 9
-153 13 47 50 18
-154 22 14 29 19
-155 24 15 27 64
-156 16 28 10 32
-157 48 51 8 30
-158 57 37 9 31
-159 33 12 34 52
-160 13 35 50 20
-161 23 14 36 29
-162 35 27 20 64
-163 28 42 21 32
-164 23 79 36 40
-165 24 46 15 41
-166 33 66 12 43
-167 44 13 70 50
-168 45 14 29 73
-169 67 47 49 18
-170 22 34 19 52
-171 51 30 42 21
-172 79 40 51 30
-173 46 57 41 31
-174 88 34 52 54
-175 55 35 60 20
-176 23 56 36 63
-177 47 58 81 18
-178 22 59 62 19
-179 61 85 42 21
-180 27 82 64 65
-181 67 49 28 32
-182 66 57 31 43
-183 66 88 43 54
-184 44 55 70 60
-185 45 56 73 63
-186 67 68 103 49
-187 34 69 72 52
-188 71 51 30 76
-189 27 95 74 64
-190 78 28 75 32
-191 77 99 57 31
-192 79 80 40 96
-193 46 82 41 65
-194 44 58 70 81
-195 45 59 62 73
-196 68 58 81 103
-197 69 59 72 62
-198 71 61 85 76
-199 82 83 116 65
-200 67 49 84 87
-201 66 91 86 43
-202 89 79 40 109
-203 46 90 93 41
-204 44 113 70 92
-205 45 113 92 73
-206 88 94 108 54
-207 55 60 95 74
-208 56 80 63 96
-209 78 61 85 75
-210 83 116 95 74
-211 78 84 75 87
-212 77 99 91 86
-213 123 80 96 97
-214 102 82 65 98
-215 100 58 81 106
-216 101 59 105 62
-217 88 104 119 54
-218 55 101 60 105
-219 56 100 106 63
-220 77 99 61 85
-221 68 103 107 118
-222 69 72 94 108
-223 89 71 76 109
-224 77 99 90 93
-225 89 123 97 109
-226 90 102 93 98
-227 100 113 92 106
-228 101 113 92 105
-229 110 126 94 108
-230 111 114 95 74
-231 112 80 115 96
-232 78 90 93 75
-233 68 112 103 115
-234 111 69 114 72
-235 91 71 86 76
-236 124 83 116 117
-237 84 107 118 87
-238 91 104 86 119
-239 110 104 126 119
-240 111 101 114 105
-241 100 112 115 106
-242 127 107 118 120
-243 121 122 94 108
-244 89 104 119 109
-245 121 122 83 116
-246 102 84 87 98
-247 123 127 97 120
-248 102 124 117 98
-249 112 115 127 120
-250 121 111 122 114
-251 124 125 117 128
-252 124 117 107 118
-253 110 123 126 97
-254 110 125 126 128
-255 121 122 125 128
-256 125 127 128 120
0