Graph forms
for C4 [ 261, 2 ] = DW(87,3)
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On this page are computer-accessible forms for the graph C4[ 261, 2 ] =
DW(87,3).
(I) Following is a form readable by MAGMA:
g:=Graph<261|{ {174, 175}, {87, 88}, {8, 94}, {169, 255}, {168, 254}, {161,
247}, {160, 246}, {9, 95}, {32, 118}, {33, 119}, {40, 126}, {41, 127}, {128,
214}, {129, 215}, {136, 222}, {137, 223}, {1, 89}, {167, 255}, {166, 254}, {165,
253}, {164, 252}, {163, 251}, {162, 250}, {161, 249}, {160, 248}, {2, 90}, {3,
91}, {4, 92}, {5, 93}, {6, 94}, {7, 95}, {32, 120}, {33, 121}, {34, 122}, {35,
123}, {36, 124}, {37, 125}, {38, 126}, {39, 127}, {128, 216}, {129, 217}, {130,
218}, {131, 219}, {132, 220}, {133, 221}, {134, 222}, {135, 223}, {2, 88}, {167,
253}, {166, 252}, {163, 249}, {162, 248}, {3, 89}, {6, 92}, {7, 93}, {34, 120},
{35, 121}, {38, 124}, {39, 125}, {130, 216}, {131, 217}, {134, 220}, {135, 221},
{4, 90}, {165, 251}, {164, 250}, {5, 91}, {36, 122}, {37, 123}, {132, 218},
{133, 219}, {8, 96}, {159, 247}, {158, 246}, {157, 245}, {156, 244}, {155, 243},
{154, 242}, {153, 241}, {152, 240}, {9, 97}, {10, 98}, {11, 99}, {12, 100}, {13,
101}, {14, 102}, {15, 103}, {24, 112}, {25, 113}, {26, 114}, {27, 115}, {28,
116}, {29, 117}, {30, 118}, {31, 119}, {136, 224}, {137, 225}, {138, 226}, {139,
227}, {140, 228}, {141, 229}, {142, 230}, {143, 231}, {10, 96}, {159, 245},
{158, 244}, {155, 241}, {154, 240}, {11, 97}, {14, 100}, {15, 101}, {26, 112},
{27, 113}, {30, 116}, {31, 117}, {138, 224}, {139, 225}, {142, 228}, {143, 229},
{12, 98}, {157, 243}, {156, 242}, {13, 99}, {28, 114}, {29, 115}, {140, 226},
{141, 227}, {16, 102}, {153, 239}, {152, 238}, {17, 103}, {24, 110}, {25, 111},
{144, 230}, {145, 231}, {16, 104}, {151, 239}, {150, 238}, {149, 237}, {148,
236}, {147, 235}, {146, 234}, {17, 105}, {18, 106}, {19, 107}, {20, 108}, {21,
109}, {22, 110}, {23, 111}, {144, 232}, {145, 233}, {18, 104}, {151, 237}, {150,
236}, {147, 233}, {19, 105}, {22, 108}, {23, 109}, {146, 232}, {20, 106}, {149,
235}, {148, 234}, {21, 107}, {40, 128}, {63, 151}, {62, 150}, {61, 149}, {60,
148}, {59, 147}, {58, 146}, {57, 145}, {56, 144}, {47, 135}, {46, 134}, {45,
133}, {44, 132}, {43, 131}, {41, 129}, {42, 130}, {104, 192}, {105, 193}, {106,
194}, {107, 195}, {108, 196}, {109, 197}, {110, 198}, {111, 199}, {120, 208},
{121, 209}, {122, 210}, {123, 211}, {124, 212}, {125, 213}, {126, 214}, {127,
215}, {42, 128}, {63, 149}, {62, 148}, {59, 145}, {58, 144}, {47, 133}, {46,
132}, {43, 129}, {106, 192}, {107, 193}, {110, 196}, {111, 197}, {122, 208},
{123, 209}, {126, 212}, {127, 213}, {2, 175}, {66, 239}, {64, 237}, {16, 189},
{18, 191}, {80, 253}, {82, 255}, {44, 130}, {61, 147}, {60, 146}, {45, 131},
{108, 194}, {109, 195}, {124, 210}, {125, 211}, {1, 174}, {65, 238}, {64, 239},
{16, 191}, {17, 190}, {80, 255}, {81, 254}, {1, 176}, {67, 242}, {65, 240}, {3,
178}, {5, 180}, {7, 182}, {9, 184}, {11, 186}, {13, 188}, {15, 190}, {69, 244},
{71, 246}, {73, 248}, {75, 250}, {77, 252}, {79, 254}, {2, 177}, {67, 240}, {66,
241}, {3, 176}, {6, 181}, {7, 180}, {10, 185}, {11, 184}, {14, 189}, {15, 188},
{70, 245}, {71, 244}, {74, 249}, {75, 248}, {78, 253}, {79, 252}, {4, 177}, {68,
241}, {6, 179}, {12, 185}, {14, 187}, {70, 243}, {76, 249}, {78, 251}, {48,
134}, {57, 143}, {56, 142}, {49, 135}, {112, 198}, {113, 199}, {120, 206}, {121,
207}, {4, 179}, {69, 242}, {68, 243}, {5, 178}, {12, 187}, {13, 186}, {76, 251},
{77, 250}, {48, 136}, {55, 143}, {54, 142}, {53, 141}, {52, 140}, {51, 139},
{50, 138}, {49, 137}, {112, 200}, {113, 201}, {114, 202}, {115, 203}, {116,
204}, {117, 205}, {118, 206}, {119, 207}, {50, 136}, {55, 141}, {54, 140}, {51,
137}, {114, 200}, {115, 201}, {118, 204}, {119, 205}, {8, 181}, {10, 183}, {72,
245}, {74, 247}, {52, 138}, {53, 139}, {116, 202}, {117, 203}, {8, 183}, {9,
182}, {72, 247}, {73, 246}, {17, 192}, {63, 238}, {61, 236}, {59, 234}, {57,
232}, {55, 230}, {53, 228}, {51, 226}, {49, 224}, {19, 194}, {21, 196}, {23,
198}, {25, 200}, {27, 202}, {29, 204}, {31, 206}, {18, 193}, {63, 236}, {62,
237}, {59, 232}, {58, 233}, {55, 228}, {54, 229}, {51, 224}, {50, 225}, {19,
192}, {22, 197}, {23, 196}, {26, 201}, {27, 200}, {30, 205}, {31, 204}, {20,
193}, {62, 235}, {60, 233}, {54, 227}, {52, 225}, {22, 195}, {28, 201}, {30,
203}, {64, 150}, {65, 151}, {72, 158}, {73, 159}, {96, 182}, {97, 183}, {104,
190}, {105, 191}, {20, 195}, {61, 234}, {60, 235}, {53, 226}, {52, 227}, {21,
194}, {28, 203}, {29, 202}, {64, 152}, {69, 157}, {68, 156}, {67, 155}, {66,
154}, {65, 153}, {70, 158}, {71, 159}, {96, 184}, {97, 185}, {98, 186}, {99,
187}, {100, 188}, {101, 189}, {102, 190}, {103, 191}, {66, 152}, {67, 153}, {70,
156}, {71, 157}, {98, 184}, {99, 185}, {102, 188}, {103, 189}, {24, 197}, {58,
231}, {56, 229}, {26, 199}, {68, 154}, {69, 155}, {100, 186}, {101, 187}, {24,
199}, {57, 230}, {56, 231}, {25, 198}, {72, 160}, {73, 161}, {74, 162}, {75,
163}, {76, 164}, {77, 165}, {78, 166}, {79, 167}, {88, 176}, {89, 177}, {90,
178}, {91, 179}, {92, 180}, {93, 181}, {94, 182}, {95, 183}, {74, 160}, {75,
161}, {78, 164}, {79, 165}, {90, 176}, {91, 177}, {94, 180}, {95, 181}, {32,
205}, {50, 223}, {48, 221}, {34, 207}, {76, 162}, {77, 163}, {92, 178}, {93,
179}, {32, 207}, {49, 222}, {48, 223}, {33, 206}, {33, 208}, {47, 222}, {45,
220}, {43, 218}, {35, 210}, {37, 212}, {39, 214}, {41, 216}, {34, 209}, {47,
220}, {46, 221}, {43, 216}, {42, 217}, {35, 208}, {38, 213}, {39, 212}, {36,
209}, {46, 219}, {44, 217}, {38, 211}, {80, 166}, {81, 167}, {89, 175}, {36,
211}, {45, 218}, {44, 219}, {37, 210}, {80, 168}, {81, 169}, {82, 170}, {83,
171}, {84, 172}, {85, 173}, {86, 174}, {87, 175}, {82, 168}, {83, 169}, {86,
172}, {87, 173}, {40, 213}, {42, 215}, {84, 170}, {85, 171}, {40, 215}, {41,
214}, {1, 261}, {81, 256}, {83, 258}, {85, 260}, {82, 257}, {83, 256}, {86,
261}, {87, 260}, {84, 257}, {86, 259}, {84, 259}, {85, 258}, {88, 261}, {168,
256}, {173, 261}, {172, 260}, {171, 259}, {170, 258}, {169, 257}, {170, 256},
{174, 260}, {171, 257}, {172, 258}, {173, 259} }>;
(II) A more general form is to represent the graph as the orbit of {174, 175}
under the group generated by the following permutations:
a: (88, 175)(89, 176)(90, 177)(91, 178)(92, 179)(93, 180)(94, 181)(95, 182)(96,
183)(97, 184)(98, 185)(99, 186)(100, 187)(101, 188)(102, 189)(103, 190)(104,
191)(105, 192)(106, 193)(107, 194)(108, 195)(109, 196)(110, 197)(111, 198)(112,
199)(113, 200)(114, 201)(115, 202)(116, 203)(117, 204)(118, 205)(119, 206)(120,
207)(121, 208)(122, 209)(123, 210)(124, 211)(125, 212)(126, 213)(127, 214)(128,
215)(129, 216)(130, 217)(131, 218)(132, 219)(133, 220)(134, 221)(135, 222)(136,
223)(137, 224)(138, 225)(139, 226)(140, 227)(141, 228)(142, 229)(143, 230)(144,
231)(145, 232)(146, 233)(147, 234)(148, 235)(149, 236)(150, 237)(151, 238)(152,
239)(153, 240)(154, 241)(155, 242)(156, 243)(157, 244)(158, 245)(159, 246)(160,
247)(161, 248)(162, 249)(163, 250)(164, 251)(165, 252)(166, 253)(167, 254)(168,
255)(169, 256)(170, 257)(171, 258)(172, 259)(173, 260)(174, 261) (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, 253, 254, 255, 256, 257, 258, 259, 260,
261)
c: (2, 87)(3, 86)(4, 85)(5, 84)(6, 83)(7, 82)(8, 81)(9, 80)(10, 79)(11, 78)(12,
77)(13, 76)(14, 75)(15, 74)(16, 73)(17, 72)(18, 71)(19, 70)(20, 69)(21, 68)(22,
67)(23, 66)(24, 65)(25, 64)(26, 63)(27, 62)(28, 61)(29, 60)(30, 59)(31, 58)(32,
57)(33, 56)(34, 55)(35, 54)(36, 53)(37, 52)(38, 51)(39, 50)(40, 49)(41, 48)(42,
47)(43, 46)(44, 45)(89, 174)(90, 173)(91, 172)(92, 171)(93, 170)(94, 169)(95,
168)(96, 167)(97, 166)(98, 165)(99, 164)(100, 163)(101, 162)(102, 161)(103,
160)(104, 159)(105, 158)(106, 157)(107, 156)(108, 155)(109, 154)(110, 153)(111,
152)(112, 151)(113, 150)(114, 149)(115, 148)(116, 147)(117, 146)(118, 145)(119,
144)(120, 143)(121, 142)(122, 141)(123, 140)(124, 139)(125, 138)(126, 137)(127,
136)(128, 135)(129, 134)(130, 133)(131, 132)(176, 261)(177, 260)(178, 259)(179,
258)(180, 257)(181, 256)(182, 255)(183, 254)(184, 253)(185, 252)(186, 251)(187,
250)(188, 249)(189, 248)(190, 247)(191, 246)(192, 245)(193, 244)(194, 243)(195,
242)(196, 241)(197, 240)(198, 239)(199, 238)(200, 237)(201, 236)(202, 235)(203,
234)(204, 233)(205, 232)(206, 231)(207, 230)(208, 229)(209, 228)(210, 227)(211,
226)(212, 225)(213, 224)(214, 223)(215, 222)(216, 221)(217, 220)(218, 219)
d: (1, 88)(2, 89)(3, 90)(4, 91)(5, 92)(6, 93)(7, 94)(8, 95)(9, 96)(10, 97)(11,
98)(12, 99)(13, 100)(14, 101)(15, 102)(16, 103)(17, 104)(18, 105)(19, 106)(20,
107)(21, 108)(22, 109)(23, 110)(24, 111)(25, 112)(26, 113)(27, 114)(28, 115)(29,
116)(30, 117)(31, 118)(32, 119)(33, 120)(34, 121)(35, 122)(36, 123)(37, 124)(38,
125)(39, 126)(40, 127)(41, 128)(42, 129)(43, 130)(44, 131)(45, 132)(46, 133)(47,
134)(48, 135)(49, 136)(50, 137)(51, 138)(52, 139)(53, 140)(54, 141)(55, 142)(56,
143)(57, 144)(58, 145)(59, 146)(60, 147)(61, 148)(62, 149)(63, 150)(64, 151)(65,
152)(66, 153)(67, 154)(68, 155)(69, 156)(70, 157)(71, 158)(72, 159)(73, 160)(74,
161)(75, 162)(76, 163)(77, 164)(78, 165)(79, 166)(80, 167)(81, 168)(82, 169)(83,
170)(84, 171)(85, 172)(86, 173)(87, 174)
C4[ 261, 2 ]
261
-1 176 89 261 174
-2 88 177 90 175
-3 176 89 178 91
-4 177 90 179 92
-5 178 91 180 93
-6 179 92 181 94
-7 180 93 182 95
-8 181 94 183 96
-9 182 95 184 97
-10 183 96 185 98
-11 99 184 97 186
-12 187 100 185 98
-13 99 188 101 186
-14 187 100 189 102
-15 188 101 190 103
-16 189 102 191 104
-17 190 103 192 105
-18 191 104 193 106
-19 192 105 194 107
-20 193 106 195 108
-21 194 107 196 109
-22 110 195 108 197
-23 198 111 196 109
-24 110 199 112 197
-25 198 111 200 113
-26 199 112 201 114
-27 200 113 202 115
-28 201 114 203 116
-29 202 115 204 117
-30 203 116 205 118
-31 204 117 206 119
-32 205 118 207 120
-33 121 206 119 208
-34 209 122 207 120
-35 121 210 123 208
-36 209 122 211 124
-37 210 123 212 125
-38 211 124 213 126
-39 212 125 214 127
-40 213 126 215 128
-41 214 127 216 129
-42 215 128 217 130
-43 216 129 218 131
-44 132 217 130 219
-45 220 133 218 131
-46 132 221 134 219
-47 220 133 222 135
-48 221 134 223 136
-49 222 135 224 137
-50 223 136 225 138
-51 224 137 226 139
-52 225 138 227 140
-53 226 139 228 141
-54 227 140 229 142
-55 143 228 141 230
-56 231 144 229 142
-57 143 232 145 230
-58 231 144 233 146
-59 232 145 234 147
-60 233 146 235 148
-61 234 147 236 149
-62 235 148 237 150
-63 236 149 238 151
-64 237 150 239 152
-65 238 151 240 153
-66 154 239 152 241
-67 242 155 240 153
-68 154 243 156 241
-69 242 155 244 157
-70 243 156 245 158
-71 244 157 246 159
-72 245 158 247 160
-73 246 159 248 161
-74 247 160 249 162
-75 248 161 250 163
-76 249 162 251 164
-77 165 250 163 252
-78 253 166 251 164
-79 165 254 167 252
-80 253 166 255 168
-81 254 167 256 169
-82 255 168 257 170
-83 256 169 258 171
-84 257 170 259 172
-85 258 171 260 173
-86 259 172 261 174
-87 88 260 173 175
-88 176 2 261 87
-89 1 177 3 175
-90 176 2 178 4
-91 177 3 179 5
-92 178 4 180 6
-93 179 5 181 7
-94 180 6 182 8
-95 181 7 183 9
-96 182 8 184 10
-97 11 183 9 185
-98 12 184 10 186
-99 11 187 13 185
-100 12 188 14 186
-101 187 13 189 15
-102 188 14 190 16
-103 189 15 191 17
-104 190 16 192 18
-105 191 17 193 19
-106 192 18 194 20
-107 193 19 195 21
-108 22 194 20 196
-109 23 195 21 197
-110 22 198 24 196
-111 23 199 25 197
-112 198 24 200 26
-113 199 25 201 27
-114 200 26 202 28
-115 201 27 203 29
-116 202 28 204 30
-117 203 29 205 31
-118 204 30 206 32
-119 33 205 31 207
-120 34 206 32 208
-121 33 209 35 207
-122 34 210 36 208
-123 209 35 211 37
-124 210 36 212 38
-125 211 37 213 39
-126 212 38 214 40
-127 213 39 215 41
-128 214 40 216 42
-129 215 41 217 43
-130 44 216 42 218
-131 45 217 43 219
-132 44 220 46 218
-133 45 221 47 219
-134 220 46 222 48
-135 221 47 223 49
-136 222 48 224 50
-137 223 49 225 51
-138 224 50 226 52
-139 225 51 227 53
-140 226 52 228 54
-141 55 227 53 229
-142 56 228 54 230
-143 55 231 57 229
-144 56 232 58 230
-145 231 57 233 59
-146 232 58 234 60
-147 233 59 235 61
-148 234 60 236 62
-149 235 61 237 63
-150 236 62 238 64
-151 237 63 239 65
-152 66 238 64 240
-153 67 239 65 241
-154 66 242 68 240
-155 67 243 69 241
-156 242 68 244 70
-157 243 69 245 71
-158 244 70 246 72
-159 245 71 247 73
-160 246 72 248 74
-161 247 73 249 75
-162 248 74 250 76
-163 77 249 75 251
-164 78 250 76 252
-165 77 253 79 251
-166 78 254 80 252
-167 253 79 255 81
-168 254 80 256 82
-169 255 81 257 83
-170 256 82 258 84
-171 257 83 259 85
-172 258 84 260 86
-173 259 85 261 87
-174 1 260 86 175
-175 89 2 174 87
-176 88 1 90 3
-177 89 2 91 4
-178 90 3 92 5
-179 91 4 93 6
-180 92 5 94 7
-181 93 6 95 8
-182 94 7 96 9
-183 95 8 97 10
-184 11 96 9 98
-185 99 12 97 10
-186 11 100 13 98
-187 99 12 101 14
-188 100 13 102 15
-189 101 14 103 16
-190 102 15 104 17
-191 103 16 105 18
-192 104 17 106 19
-193 105 18 107 20
-194 106 19 108 21
-195 22 107 20 109
-196 110 23 108 21
-197 22 111 24 109
-198 110 23 112 25
-199 111 24 113 26
-200 112 25 114 27
-201 113 26 115 28
-202 114 27 116 29
-203 115 28 117 30
-204 116 29 118 31
-205 117 30 119 32
-206 33 118 31 120
-207 121 34 119 32
-208 33 122 35 120
-209 121 34 123 36
-210 122 35 124 37
-211 123 36 125 38
-212 124 37 126 39
-213 125 38 127 40
-214 126 39 128 41
-215 127 40 129 42
-216 128 41 130 43
-217 44 129 42 131
-218 132 45 130 43
-219 44 133 46 131
-220 132 45 134 47
-221 133 46 135 48
-222 134 47 136 49
-223 135 48 137 50
-224 136 49 138 51
-225 137 50 139 52
-226 138 51 140 53
-227 139 52 141 54
-228 55 140 53 142
-229 143 56 141 54
-230 55 144 57 142
-231 143 56 145 58
-232 144 57 146 59
-233 145 58 147 60
-234 146 59 148 61
-235 147 60 149 62
-236 148 61 150 63
-237 149 62 151 64
-238 150 63 152 65
-239 66 151 64 153
-240 154 67 152 65
-241 66 155 68 153
-242 154 67 156 69
-243 155 68 157 70
-244 156 69 158 71
-245 157 70 159 72
-246 158 71 160 73
-247 159 72 161 74
-248 160 73 162 75
-249 161 74 163 76
-250 77 162 75 164
-251 165 78 163 76
-252 77 166 79 164
-253 165 78 167 80
-254 166 79 168 81
-255 167 80 169 82
-256 168 81 170 83
-257 169 82 171 84
-258 170 83 172 85
-259 171 84 173 86
-260 172 85 174 87
-261 88 1 173 86
0