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