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