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