Graph forms
for C4 [ 270, 3 ] = DW(90,3)
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On this page are computer-accessible forms for the graph C4[ 270, 3 ] =
DW(90,3).
(I) Following is a form readable by MAGMA:
g:=Graph<270|{ {90, 91}, {180, 181}, {2, 91}, {166, 255}, {164, 253}, {162,
251}, {160, 249}, {4, 93}, {6, 95}, {32, 121}, {34, 123}, {36, 125}, {38, 127},
{128, 217}, {130, 219}, {132, 221}, {134, 223}, {4, 95}, {165, 254}, {164, 255},
{161, 250}, {160, 251}, {5, 94}, {32, 123}, {33, 122}, {36, 127}, {37, 126},
{128, 219}, {129, 218}, {132, 223}, {133, 222}, {1, 92}, {163, 254}, {161, 252},
{3, 94}, {33, 124}, {35, 126}, {129, 220}, {131, 222}, {2, 93}, {163, 252},
{162, 253}, {3, 92}, {34, 125}, {35, 124}, {130, 221}, {131, 220}, {5, 96},
{159, 250}, {157, 248}, {151, 242}, {149, 240}, {7, 98}, {13, 104}, {15, 106},
{21, 112}, {23, 114}, {29, 120}, {31, 122}, {133, 224}, {135, 226}, {141, 232},
{143, 234}, {6, 97}, {159, 248}, {158, 249}, {151, 240}, {150, 241}, {7, 96},
{14, 105}, {15, 104}, {22, 113}, {23, 112}, {30, 121}, {31, 120}, {134, 225},
{135, 224}, {142, 233}, {143, 232}, {8, 97}, {158, 247}, {156, 245}, {154, 243},
{152, 241}, {10, 99}, {12, 101}, {14, 103}, {24, 113}, {26, 115}, {28, 117},
{30, 119}, {136, 225}, {138, 227}, {140, 229}, {142, 231}, {8, 99}, {157, 246},
{156, 247}, {153, 242}, {152, 243}, {9, 98}, {12, 103}, {13, 102}, {24, 115},
{25, 114}, {28, 119}, {29, 118}, {136, 227}, {137, 226}, {140, 231}, {141, 230},
{9, 100}, {155, 246}, {153, 244}, {11, 102}, {25, 116}, {27, 118}, {137, 228},
{139, 230}, {10, 101}, {155, 244}, {154, 245}, {11, 100}, {26, 117}, {27, 116},
{138, 229}, {139, 228}, {16, 105}, {150, 239}, {148, 237}, {146, 235}, {18,
107}, {20, 109}, {22, 111}, {144, 233}, {16, 107}, {149, 238}, {148, 239}, {145,
234}, {17, 106}, {20, 111}, {21, 110}, {144, 235}, {17, 108}, {147, 238}, {145,
236}, {19, 110}, {18, 109}, {147, 236}, {146, 237}, {19, 108}, {37, 128}, {63,
154}, {61, 152}, {55, 146}, {53, 144}, {47, 138}, {45, 136}, {39, 130}, {101,
192}, {103, 194}, {109, 200}, {111, 202}, {117, 208}, {119, 210}, {125, 216},
{127, 218}, {38, 129}, {63, 152}, {62, 153}, {55, 144}, {54, 145}, {47, 136},
{46, 137}, {39, 128}, {102, 193}, {103, 192}, {110, 201}, {111, 200}, {118,
209}, {119, 208}, {126, 217}, {127, 216}, {40, 129}, {62, 151}, {60, 149}, {58,
147}, {56, 145}, {46, 135}, {44, 133}, {42, 131}, {104, 193}, {106, 195}, {108,
197}, {110, 199}, {120, 209}, {122, 211}, {124, 213}, {126, 215}, {40, 131},
{61, 150}, {60, 151}, {57, 146}, {56, 147}, {45, 134}, {44, 135}, {41, 130},
{104, 195}, {105, 194}, {108, 199}, {109, 198}, {120, 211}, {121, 210}, {124,
215}, {125, 214}, {41, 132}, {59, 150}, {57, 148}, {43, 134}, {105, 196}, {107,
198}, {121, 212}, {123, 214}, {42, 133}, {59, 148}, {58, 149}, {43, 132}, {106,
197}, {107, 196}, {122, 213}, {123, 212}, {4, 183}, {68, 247}, {64, 243}, {8,
187}, {12, 191}, {72, 251}, {76, 255}, {1, 180}, {67, 246}, {66, 247}, {65,
244}, {64, 245}, {2, 183}, {3, 182}, {8, 189}, {9, 188}, {10, 191}, {11, 190},
{72, 253}, {73, 252}, {74, 255}, {75, 254}, {1, 182}, {66, 245}, {65, 246}, {2,
181}, {9, 190}, {10, 189}, {73, 254}, {74, 253}, {48, 137}, {54, 143}, {52,
141}, {50, 139}, {112, 201}, {114, 203}, {116, 205}, {118, 207}, {3, 184}, {67,
248}, {53, 142}, {52, 143}, {49, 138}, {48, 139}, {7, 188}, {71, 252}, {112,
203}, {113, 202}, {116, 207}, {117, 206}, {4, 185}, {69, 248}, {68, 249}, {51,
142}, {49, 140}, {5, 184}, {6, 187}, {7, 186}, {70, 251}, {71, 250}, {113, 204},
{115, 206}, {5, 186}, {51, 140}, {50, 141}, {6, 185}, {69, 250}, {70, 249},
{114, 205}, {115, 204}, {11, 192}, {63, 244}, {59, 240}, {47, 228}, {15, 196},
{27, 208}, {31, 212}, {43, 224}, {12, 193}, {63, 242}, {62, 243}, {61, 240},
{60, 241}, {47, 226}, {46, 227}, {45, 224}, {44, 225}, {13, 192}, {14, 195},
{15, 194}, {28, 209}, {29, 208}, {30, 211}, {31, 210}, {13, 194}, {62, 241},
{61, 242}, {46, 225}, {45, 226}, {14, 193}, {29, 210}, {30, 209}, {16, 195},
{60, 239}, {56, 235}, {52, 231}, {48, 227}, {20, 199}, {24, 203}, {28, 207},
{16, 197}, {59, 238}, {58, 239}, {57, 236}, {56, 237}, {51, 230}, {50, 231},
{49, 228}, {48, 229}, {17, 196}, {18, 199}, {19, 198}, {24, 205}, {25, 204},
{26, 207}, {27, 206}, {17, 198}, {58, 237}, {57, 238}, {50, 229}, {49, 230},
{18, 197}, {25, 206}, {26, 205}, {64, 153}, {68, 157}, {66, 155}, {70, 159},
{96, 185}, {98, 187}, {100, 189}, {102, 191}, {19, 200}, {69, 158}, {68, 159},
{65, 154}, {64, 155}, {55, 236}, {51, 232}, {23, 204}, {96, 187}, {97, 186},
{100, 191}, {101, 190}, {20, 201}, {67, 158}, {65, 156}, {55, 234}, {54, 235},
{53, 232}, {52, 233}, {21, 200}, {22, 203}, {23, 202}, {97, 188}, {99, 190},
{21, 202}, {67, 156}, {66, 157}, {54, 233}, {53, 234}, {22, 201}, {98, 189},
{99, 188}, {69, 160}, {71, 162}, {77, 168}, {79, 170}, {85, 176}, {87, 178},
{93, 184}, {95, 186}, {70, 161}, {71, 160}, {78, 169}, {79, 168}, {86, 177},
{87, 176}, {94, 185}, {95, 184}, {72, 161}, {74, 163}, {76, 165}, {78, 167},
{88, 177}, {90, 179}, {92, 181}, {94, 183}, {72, 163}, {73, 162}, {76, 167},
{77, 166}, {88, 179}, {89, 178}, {92, 183}, {93, 182}, {73, 164}, {75, 166},
{89, 180}, {91, 182}, {74, 165}, {75, 164}, {90, 181}, {32, 211}, {44, 223},
{36, 215}, {40, 219}, {32, 213}, {33, 212}, {34, 215}, {35, 214}, {40, 221},
{41, 220}, {42, 223}, {43, 222}, {33, 214}, {34, 213}, {41, 222}, {42, 221},
{80, 169}, {82, 171}, {84, 173}, {86, 175}, {35, 216}, {39, 220}, {80, 171},
{81, 170}, {84, 175}, {85, 174}, {36, 217}, {37, 216}, {38, 219}, {39, 218},
{81, 172}, {83, 174}, {37, 218}, {38, 217}, {82, 173}, {83, 172}, {1, 270}, {75,
256}, {79, 260}, {76, 257}, {77, 256}, {78, 259}, {79, 258}, {77, 258}, {78,
257}, {80, 259}, {84, 263}, {88, 267}, {80, 261}, {81, 260}, {82, 263}, {83,
262}, {88, 269}, {89, 268}, {91, 270}, {81, 262}, {82, 261}, {89, 270}, {90,
269}, {83, 264}, {87, 268}, {84, 265}, {85, 264}, {86, 267}, {87, 266}, {85,
266}, {86, 265}, {165, 256}, {175, 266}, {173, 264}, {167, 258}, {166, 257},
{175, 264}, {174, 265}, {167, 256}, {168, 257}, {174, 263}, {172, 261}, {170,
259}, {168, 259}, {173, 262}, {172, 263}, {169, 258}, {169, 260}, {171, 262},
{170, 261}, {171, 260}, {176, 265}, {180, 269}, {178, 267}, {176, 267}, {177,
266}, {177, 268}, {179, 270}, {178, 269}, {179, 268} }>;
(II) A more general form is to represent the graph as the orbit of {90, 91}
under the group generated by the following permutations:
a: (91, 181)(92, 182)(93, 183)(94, 184)(95, 185)(96, 186)(97, 187)(98, 188)(99,
189)(100, 190)(101, 191)(102, 192)(103, 193)(104, 194)(105, 195)(106, 196)(107,
197)(108, 198)(109, 199)(110, 200)(111, 201)(112, 202)(113, 203)(114, 204)(115,
205)(116, 206)(117, 207)(118, 208)(119, 209)(120, 210)(121, 211)(122, 212)(123,
213)(124, 214)(125, 215)(126, 216)(127, 217)(128, 218)(129, 219)(130, 220)(131,
221)(132, 222)(133, 223)(134, 224)(135, 225)(136, 226)(137, 227)(138, 228)(139,
229)(140, 230)(141, 231)(142, 232)(143, 233)(144, 234)(145, 235)(146, 236)(147,
237)(148, 238)(149, 239)(150, 240)(151, 241)(152, 242)(153, 243)(154, 244)(155,
245)(156, 246)(157, 247)(158, 248)(159, 249)(160, 250)(161, 251)(162, 252)(163,
253)(164, 254)(165, 255)(166, 256)(167, 257)(168, 258)(169, 259)(170, 260)(171,
261)(172, 262)(173, 263)(174, 264)(175, 265)(176, 266)(177, 267)(178, 268)(179,
269)(180, 270) (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, 262, 263, 264, 265, 266, 267, 268, 269, 270)
c: (1, 91)(2, 92)(3, 93)(4, 94)(5, 95)(6, 96)(7, 97)(8, 98)(9, 99)(10, 100)(11,
101)(12, 102)(13, 103)(14, 104)(15, 105)(16, 106)(17, 107)(18, 108)(19, 109)(20,
110)(21, 111)(22, 112)(23, 113)(24, 114)(25, 115)(26, 116)(27, 117)(28, 118)(29,
119)(30, 120)(31, 121)(32, 122)(33, 123)(34, 124)(35, 125)(36, 126)(37, 127)(38,
128)(39, 129)(40, 130)(41, 131)(42, 132)(43, 133)(44, 134)(45, 135)(46, 136)(47,
137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56,
146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65,
155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74,
164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83,
173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
d: (2, 90)(3, 89)(4, 88)(5, 87)(6, 86)(7, 85)(8, 84)(9, 83)(10, 82)(11, 81)(12,
80)(13, 79)(14, 78)(15, 77)(16, 76)(17, 75)(18, 74)(19, 73)(20, 72)(21, 71)(22,
70)(23, 69)(24, 68)(25, 67)(26, 66)(27, 65)(28, 64)(29, 63)(30, 62)(31, 61)(32,
60)(33, 59)(34, 58)(35, 57)(36, 56)(37, 55)(38, 54)(39, 53)(40, 52)(41, 51)(42,
50)(43, 49)(44, 48)(45, 47)(92, 180)(93, 179)(94, 178)(95, 177)(96, 176)(97,
175)(98, 174)(99, 173)(100, 172)(101, 171)(102, 170)(103, 169)(104, 168)(105,
167)(106, 166)(107, 165)(108, 164)(109, 163)(110, 162)(111, 161)(112, 160)(113,
159)(114, 158)(115, 157)(116, 156)(117, 155)(118, 154)(119, 153)(120, 152)(121,
151)(122, 150)(123, 149)(124, 148)(125, 147)(126, 146)(127, 145)(128, 144)(129,
143)(130, 142)(131, 141)(132, 140)(133, 139)(134, 138)(135, 137)(182, 270)(183,
269)(184, 268)(185, 267)(186, 266)(187, 265)(188, 264)(189, 263)(190, 262)(191,
261)(192, 260)(193, 259)(194, 258)(195, 257)(196, 256)(197, 255)(198, 254)(199,
253)(200, 252)(201, 251)(202, 250)(203, 249)(204, 248)(205, 247)(206, 246)(207,
245)(208, 244)(209, 243)(210, 242)(211, 241)(212, 240)(213, 239)(214, 238)(215,
237)(216, 236)(217, 235)(218, 234)(219, 233)(220, 232)(221, 231)(222, 230)(223,
229)(224, 228)(225, 227)
C4[ 270, 3 ]
270
-1 92 180 182 270
-2 91 93 181 183
-3 92 94 182 184
-4 93 95 183 185
-5 94 96 184 186
-6 187 95 97 185
-7 188 96 98 186
-8 99 187 189 97
-9 100 188 190 98
-10 99 101 189 191
-11 100 102 190 192
-12 101 103 191 193
-13 102 104 192 194
-14 103 105 193 195
-15 104 106 194 196
-16 105 107 195 197
-17 198 106 108 196
-18 199 107 109 197
-19 110 198 200 108
-20 111 199 201 109
-21 110 112 200 202
-22 111 113 201 203
-23 112 114 202 204
-24 113 115 203 205
-25 114 116 204 206
-26 115 117 205 207
-27 116 118 206 208
-28 209 117 119 207
-29 210 118 120 208
-30 121 209 211 119
-31 122 210 212 120
-32 121 123 211 213
-33 122 124 212 214
-34 123 125 213 215
-35 124 126 214 216
-36 125 127 215 217
-37 126 128 216 218
-38 127 129 217 219
-39 220 128 130 218
-40 221 129 131 219
-41 132 220 222 130
-42 133 221 223 131
-43 132 134 222 224
-44 133 135 223 225
-45 134 136 224 226
-46 135 137 225 227
-47 136 138 226 228
-48 137 139 227 229
-49 138 140 228 230
-50 231 139 141 229
-51 232 140 142 230
-52 143 231 233 141
-53 144 232 234 142
-54 143 145 233 235
-55 144 146 234 236
-56 145 147 235 237
-57 146 148 236 238
-58 147 149 237 239
-59 148 150 238 240
-60 149 151 239 241
-61 242 150 152 240
-62 243 151 153 241
-63 154 242 244 152
-64 155 243 245 153
-65 154 156 244 246
-66 155 157 245 247
-67 156 158 246 248
-68 157 159 247 249
-69 158 160 248 250
-70 159 161 249 251
-71 160 162 250 252
-72 253 161 163 251
-73 254 162 164 252
-74 165 253 255 163
-75 166 254 256 164
-76 165 167 255 257
-77 166 168 256 258
-78 167 169 257 259
-79 168 170 258 260
-80 169 171 259 261
-81 170 172 260 262
-82 171 173 261 263
-83 264 172 174 262
-84 265 173 175 263
-85 176 264 266 174
-86 177 265 267 175
-87 176 178 266 268
-88 177 179 267 269
-89 178 180 268 270
-90 91 179 181 269
-91 2 90 182 270
-92 1 3 181 183
-93 2 4 182 184
-94 3 5 183 185
-95 4 6 184 186
-96 187 5 7 185
-97 188 6 8 186
-98 187 189 7 9
-99 188 190 8 10
-100 11 189 191 9
-101 12 190 192 10
-102 11 13 191 193
-103 12 14 192 194
-104 13 15 193 195
-105 14 16 194 196
-106 15 17 195 197
-107 198 16 18 196
-108 199 17 19 197
-109 198 200 18 20
-110 199 201 19 21
-111 22 200 202 20
-112 23 201 203 21
-113 22 24 202 204
-114 23 25 203 205
-115 24 26 204 206
-116 25 27 205 207
-117 26 28 206 208
-118 209 27 29 207
-119 210 28 30 208
-120 209 211 29 31
-121 210 212 30 32
-122 33 211 213 31
-123 34 212 214 32
-124 33 35 213 215
-125 34 36 214 216
-126 35 37 215 217
-127 36 38 216 218
-128 37 39 217 219
-129 220 38 40 218
-130 221 39 41 219
-131 220 222 40 42
-132 221 223 41 43
-133 44 222 224 42
-134 45 223 225 43
-135 44 46 224 226
-136 45 47 225 227
-137 46 48 226 228
-138 47 49 227 229
-139 48 50 228 230
-140 231 49 51 229
-141 232 50 52 230
-142 231 233 51 53
-143 232 234 52 54
-144 55 233 235 53
-145 56 234 236 54
-146 55 57 235 237
-147 56 58 236 238
-148 57 59 237 239
-149 58 60 238 240
-150 59 61 239 241
-151 242 60 62 240
-152 243 61 63 241
-153 242 244 62 64
-154 243 245 63 65
-155 66 244 246 64
-156 67 245 247 65
-157 66 68 246 248
-158 67 69 247 249
-159 68 70 248 250
-160 69 71 249 251
-161 70 72 250 252
-162 253 71 73 251
-163 254 72 74 252
-164 253 255 73 75
-165 254 256 74 76
-166 77 255 257 75
-167 78 256 258 76
-168 77 79 257 259
-169 78 80 258 260
-170 79 81 259 261
-171 80 82 260 262
-172 81 83 261 263
-173 264 82 84 262
-174 265 83 85 263
-175 264 266 84 86
-176 265 267 85 87
-177 88 266 268 86
-178 89 267 269 87
-179 88 90 268 270
-180 1 89 181 269
-181 2 90 92 180
-182 1 3 91 93
-183 2 4 92 94
-184 3 5 93 95
-185 4 6 94 96
-186 5 7 95 97
-187 6 8 96 98
-188 99 7 9 97
-189 100 8 10 98
-190 11 99 101 9
-191 12 100 102 10
-192 11 13 101 103
-193 12 14 102 104
-194 13 15 103 105
-195 14 16 104 106
-196 15 17 105 107
-197 16 18 106 108
-198 17 19 107 109
-199 110 18 20 108
-200 111 19 21 109
-201 22 110 112 20
-202 23 111 113 21
-203 22 24 112 114
-204 23 25 113 115
-205 24 26 114 116
-206 25 27 115 117
-207 26 28 116 118
-208 27 29 117 119
-209 28 30 118 120
-210 121 29 31 119
-211 122 30 32 120
-212 33 121 123 31
-213 34 122 124 32
-214 33 35 123 125
-215 34 36 124 126
-216 35 37 125 127
-217 36 38 126 128
-218 37 39 127 129
-219 38 40 128 130
-220 39 41 129 131
-221 132 40 42 130
-222 133 41 43 131
-223 44 132 134 42
-224 45 133 135 43
-225 44 46 134 136
-226 45 47 135 137
-227 46 48 136 138
-228 47 49 137 139
-229 48 50 138 140
-230 49 51 139 141
-231 50 52 140 142
-232 143 51 53 141
-233 144 52 54 142
-234 55 143 145 53
-235 56 144 146 54
-236 55 57 145 147
-237 56 58 146 148
-238 57 59 147 149
-239 58 60 148 150
-240 59 61 149 151
-241 60 62 150 152
-242 61 63 151 153
-243 154 62 64 152
-244 155 63 65 153
-245 66 154 156 64
-246 67 155 157 65
-247 66 68 156 158
-248 67 69 157 159
-249 68 70 158 160
-250 69 71 159 161
-251 70 72 160 162
-252 71 73 161 163
-253 72 74 162 164
-254 165 73 75 163
-255 166 74 76 164
-256 77 165 167 75
-257 78 166 168 76
-258 77 79 167 169
-259 78 80 168 170
-260 79 81 169 171
-261 80 82 170 172
-262 81 83 171 173
-263 82 84 172 174
-264 83 85 173 175
-265 176 84 86 174
-266 177 85 87 175
-267 88 176 178 86
-268 89 177 179 87
-269 88 90 178 180
-270 1 89 91 179
0