Graph forms
for C4 [ 288, 11 ] = {4,4}_[36,4]
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On this page are computer-accessible forms for the graph C4[ 288, 11 ] =
{4,4}_[36,4].
(I) Following is a form readable by MAGMA:
g:=Graph<288|{ {2, 3}, {286, 287}, {284, 285}, {282, 283}, {280, 281}, {278,
279}, {276, 277}, {274, 275}, {272, 273}, {270, 271}, {268, 269}, {266, 267},
{264, 265}, {262, 263}, {260, 261}, {258, 259}, {256, 257}, {254, 255}, {252,
253}, {250, 251}, {248, 249}, {246, 247}, {244, 245}, {242, 243}, {240, 241},
{238, 239}, {236, 237}, {234, 235}, {232, 233}, {230, 231}, {228, 229}, {226,
227}, {224, 225}, {222, 223}, {220, 221}, {218, 219}, {214, 215}, {212, 213},
{210, 211}, {208, 209}, {206, 207}, {204, 205}, {202, 203}, {200, 201}, {198,
199}, {196, 197}, {194, 195}, {192, 193}, {190, 191}, {188, 189}, {186, 187},
{184, 185}, {182, 183}, {92, 93}, {90, 91}, {88, 89}, {86, 87}, {84, 85}, {82,
83}, {80, 81}, {78, 79}, {76, 77}, {74, 75}, {70, 71}, {68, 69}, {66, 67}, {64,
65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {52, 53}, {50, 51}, {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}, {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}, {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}, {1, 2}, {285, 286}, {281, 282}, {277, 278}, {273, 274},
{269, 270}, {265, 266}, {261, 262}, {257, 258}, {253, 254}, {249, 250}, {245,
246}, {241, 242}, {237, 238}, {233, 234}, {229, 230}, {225, 226}, {221, 222},
{217, 218}, {213, 214}, {209, 210}, {205, 206}, {201, 202}, {197, 198}, {193,
194}, {189, 190}, {185, 186}, {89, 90}, {85, 86}, {81, 82}, {77, 78}, {73, 74},
{69, 70}, {65, 66}, {61, 62}, {57, 58}, {53, 54}, {5, 6}, {9, 10}, {13, 14},
{17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {41, 42}, {45, 46},
{49, 50}, {93, 94}, {97, 98}, {101, 102}, {105, 106}, {109, 110}, {113, 114},
{117, 118}, {121, 122}, {125, 126}, {129, 130}, {133, 134}, {137, 138}, {141,
142}, {145, 146}, {149, 150}, {153, 154}, {157, 158}, {161, 162}, {165, 166},
{169, 170}, {173, 174}, {177, 178}, {181, 182}, {3, 4}, {283, 284}, {275, 276},
{267, 268}, {259, 260}, {251, 252}, {243, 244}, {235, 236}, {227, 228}, {219,
220}, {211, 212}, {203, 204}, {195, 196}, {187, 188}, {91, 92}, {83, 84}, {75,
76}, {67, 68}, {59, 60}, {51, 52}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43,
44}, {99, 100}, {107, 108}, {115, 116}, {123, 124}, {131, 132}, {139, 140},
{147, 148}, {155, 156}, {163, 164}, {171, 172}, {179, 180}, {7, 8}, {279, 280},
{263, 264}, {247, 248}, {231, 232}, {215, 216}, {199, 200}, {183, 184}, {87,
88}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {103, 104}, {119, 120}, {135, 136},
{151, 152}, {167, 168}, {15, 16}, {271, 272}, {239, 240}, {207, 208}, {79, 80},
{47, 48}, {111, 112}, {143, 144}, {175, 176}, {31, 32}, {287, 288}, {223, 224},
{95, 96}, {159, 160}, {1, 73}, {183, 255}, {182, 254}, {55, 127}, {54, 126},
{53, 125}, {52, 124}, {51, 123}, {50, 122}, {2, 74}, {3, 75}, {4, 76}, {5, 77},
{6, 78}, {7, 79}, {16, 88}, {17, 89}, {18, 90}, {19, 91}, {20, 92}, {21, 93},
{22, 94}, {23, 95}, {32, 104}, {33, 105}, {34, 106}, {35, 107}, {36, 108}, {37,
109}, {38, 110}, {39, 111}, {48, 120}, {49, 121}, {128, 200}, {129, 201}, {130,
202}, {131, 203}, {132, 204}, {133, 205}, {134, 206}, {135, 207}, {144, 216},
{145, 217}, {146, 218}, {147, 219}, {148, 220}, {149, 221}, {150, 222}, {151,
223}, {160, 232}, {161, 233}, {162, 234}, {163, 235}, {164, 236}, {165, 237},
{166, 238}, {167, 239}, {176, 248}, {177, 249}, {178, 250}, {179, 251}, {180,
252}, {181, 253}, {1, 72}, {145, 216}, {8, 80}, {9, 81}, {10, 82}, {11, 83},
{12, 84}, {13, 85}, {14, 86}, {15, 87}, {40, 112}, {41, 113}, {42, 114}, {43,
115}, {44, 116}, {45, 117}, {46, 118}, {47, 119}, {136, 208}, {137, 209}, {138,
210}, {139, 211}, {140, 212}, {141, 213}, {142, 214}, {143, 215}, {168, 240},
{169, 241}, {170, 242}, {171, 243}, {172, 244}, {173, 245}, {174, 246}, {175,
247}, {24, 96}, {25, 97}, {26, 98}, {27, 99}, {28, 100}, {29, 101}, {30, 102},
{31, 103}, {152, 224}, {153, 225}, {154, 226}, {155, 227}, {156, 228}, {157,
229}, {158, 230}, {159, 231}, {63, 64}, {191, 192}, {72, 220}, {69, 217}, {71,
219}, {70, 218}, {56, 128}, {63, 135}, {62, 134}, {61, 133}, {60, 132}, {59,
131}, {58, 130}, {57, 129}, {120, 192}, {121, 193}, {122, 194}, {123, 195},
{124, 196}, {125, 197}, {126, 198}, {127, 199}, {64, 136}, {87, 159}, {86, 158},
{85, 157}, {84, 156}, {83, 155}, {82, 154}, {81, 153}, {80, 152}, {71, 143},
{70, 142}, {69, 141}, {68, 140}, {67, 139}, {66, 138}, {65, 137}, {96, 168},
{97, 169}, {98, 170}, {99, 171}, {100, 172}, {101, 173}, {102, 174}, {103, 175},
{112, 184}, {113, 185}, {114, 186}, {115, 187}, {116, 188}, {117, 189}, {118,
190}, {119, 191}, {72, 144}, {79, 151}, {78, 150}, {77, 149}, {76, 148}, {75,
147}, {74, 146}, {73, 145}, {104, 176}, {105, 177}, {106, 178}, {107, 179},
{108, 180}, {109, 181}, {110, 182}, {111, 183}, {73, 144}, {1, 221}, {2, 222},
{3, 223}, {32, 252}, {33, 253}, {34, 254}, {35, 255}, {4, 224}, {5, 225}, {6,
226}, {7, 227}, {12, 232}, {13, 233}, {14, 234}, {15, 235}, {20, 240}, {21,
241}, {22, 242}, {23, 243}, {28, 248}, {29, 249}, {30, 250}, {31, 251}, {8,
228}, {9, 229}, {10, 230}, {11, 231}, {24, 244}, {25, 245}, {26, 246}, {27,
247}, {88, 160}, {92, 164}, {91, 163}, {90, 162}, {89, 161}, {93, 165}, {94,
166}, {95, 167}, {16, 236}, {17, 237}, {18, 238}, {19, 239}, {127, 128}, {36,
256}, {63, 283}, {62, 282}, {61, 281}, {60, 280}, {55, 275}, {54, 274}, {53,
273}, {52, 272}, {37, 257}, {38, 258}, {39, 259}, {44, 264}, {45, 265}, {46,
266}, {47, 267}, {40, 260}, {59, 279}, {58, 278}, {57, 277}, {56, 276}, {41,
261}, {42, 262}, {43, 263}, {48, 268}, {51, 271}, {50, 270}, {49, 269}, {64,
284}, {67, 287}, {66, 286}, {65, 285}, {68, 288}, {184, 256}, {191, 263}, {190,
262}, {189, 261}, {188, 260}, {187, 259}, {186, 258}, {185, 257}, {192, 264},
{215, 287}, {214, 286}, {213, 285}, {212, 284}, {211, 283}, {210, 282}, {209,
281}, {208, 280}, {199, 271}, {198, 270}, {197, 269}, {196, 268}, {195, 267},
{194, 266}, {193, 265}, {200, 272}, {207, 279}, {206, 278}, {205, 277}, {204,
276}, {203, 275}, {202, 274}, {201, 273}, {216, 288}, {217, 288}, {255, 256}
}>;
(II) A more general form is to represent the graph as the orbit of {2, 3}
under the group generated by the following permutations:
a: (2, 72)(3, 71)(4, 70)(5, 69)(6, 68)(7, 67)(8, 66)(9, 65)(10, 64)(11, 63)(12,
62)(13, 61)(14, 60)(15, 59)(16, 58)(17, 57)(18, 56)(19, 55)(20, 54)(21, 53)(22,
52)(23, 51)(24, 50)(25, 49)(26, 48)(27, 47)(28, 46)(29, 45)(30, 44)(31, 43)(32,
42)(33, 41)(34, 40)(35, 39)(36, 38)(73, 221)(74, 220)(75, 219)(76, 218)(77,
217)(78, 288)(79, 287)(80, 286)(81, 285)(82, 284)(83, 283)(84, 282)(85, 281)(86,
280)(87, 279)(88, 278)(89, 277)(90, 276)(91, 275)(92, 274)(93, 273)(94, 272)(95,
271)(96, 270)(97, 269)(98, 268)(99, 267)(100, 266)(101, 265)(102, 264)(103,
263)(104, 262)(105, 261)(106, 260)(107, 259)(108, 258)(109, 257)(110, 256)(111,
255)(112, 254)(113, 253)(114, 252)(115, 251)(116, 250)(117, 249)(118, 248)(119,
247)(120, 246)(121, 245)(122, 244)(123, 243)(124, 242)(125, 241)(126, 240)(127,
239)(128, 238)(129, 237)(130, 236)(131, 235)(132, 234)(133, 233)(134, 232)(135,
231)(136, 230)(137, 229)(138, 228)(139, 227)(140, 226)(141, 225)(142, 224)(143,
223)(144, 222)(145, 149)(146, 148)(150, 216)(151, 215)(152, 214)(153, 213)(154,
212)(155, 211)(156, 210)(157, 209)(158, 208)(159, 207)(160, 206)(161, 205)(162,
204)(163, 203)(164, 202)(165, 201)(166, 200)(167, 199)(168, 198)(169, 197)(170,
196)(171, 195)(172, 194)(173, 193)(174, 192)(175, 191)(176, 190)(177, 189)(178,
188)(179, 187)(180, 186)(181, 185)(182, 184) (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: (2, 221)(3, 149)(4, 77)(6, 225)(7, 153)(8, 81)(10, 229)(11, 157)(12, 85)(14,
233)(15, 161)(16, 89)(18, 237)(19, 165)(20, 93)(22, 241)(23, 169)(24, 97)(26,
245)(27, 173)(28, 101)(30, 249)(31, 177)(32, 105)(34, 253)(35, 181)(36, 109)(38,
257)(39, 185)(40, 113)(42, 261)(43, 189)(44, 117)(46, 265)(47, 193)(48, 121)(50,
269)(51, 197)(52, 125)(54, 273)(55, 201)(56, 129)(58, 277)(59, 205)(60, 133)(62,
281)(63, 209)(64, 137)(66, 285)(67, 213)(68, 141)(70, 217)(71, 145)(72, 73)(74,
220)(75, 148)(78, 224)(79, 152)(82, 228)(83, 156)(86, 232)(87, 160)(90, 236)(91,
164)(94, 240)(95, 168)(98, 244)(99, 172)(102, 248)(103, 176)(106, 252)(107,
180)(110, 256)(111, 184)(114, 260)(115, 188)(118, 264)(119, 192)(122, 268)(123,
196)(126, 272)(127, 200)(130, 276)(131, 204)(134, 280)(135, 208)(138, 284)(139,
212)(142, 288)(143, 216)(146, 219)(150, 223)(154, 227)(158, 231)(162, 235)(166,
239)(170, 243)(174, 247)(178, 251)(182, 255)(186, 259)(190, 263)(194, 267)(198,
271)(202, 275)(206, 279)(210, 283)(214, 287)
c: (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, 271, 272, 273, 274, 275, 276,
277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288)
C4[ 288, 11 ]
288
-1 221 2 72 73
-2 1 222 3 74
-3 2 223 4 75
-4 3 224 5 76
-5 77 4 225 6
-6 78 5 226 7
-7 79 6 227 8
-8 80 7 228 9
-9 81 8 229 10
-10 11 82 9 230
-11 231 12 83 10
-12 11 232 13 84
-13 12 233 14 85
-14 13 234 15 86
-15 14 235 16 87
-16 88 15 236 17
-17 89 16 237 18
-18 90 17 238 19
-19 91 18 239 20
-20 92 19 240 21
-21 22 93 20 241
-22 242 23 94 21
-23 22 243 24 95
-24 23 244 25 96
-25 24 245 26 97
-26 25 246 27 98
-27 99 26 247 28
-28 100 27 248 29
-29 101 28 249 30
-30 102 29 250 31
-31 103 30 251 32
-32 33 104 31 252
-33 253 34 105 32
-34 33 254 35 106
-35 34 255 36 107
-36 35 256 37 108
-37 36 257 38 109
-38 110 37 258 39
-39 111 38 259 40
-40 112 39 260 41
-41 113 40 261 42
-42 114 41 262 43
-43 44 115 42 263
-44 264 45 116 43
-45 44 265 46 117
-46 45 266 47 118
-47 46 267 48 119
-48 47 268 49 120
-49 121 48 269 50
-50 122 49 270 51
-51 123 50 271 52
-52 124 51 272 53
-53 125 52 273 54
-54 55 126 53 274
-55 275 56 127 54
-56 55 276 57 128
-57 56 277 58 129
-58 57 278 59 130
-59 58 279 60 131
-60 132 59 280 61
-61 133 60 281 62
-62 134 61 282 63
-63 135 62 283 64
-64 136 63 284 65
-65 66 137 64 285
-66 286 67 138 65
-67 66 287 68 139
-68 67 288 69 140
-69 68 70 217 141
-70 69 71 218 142
-71 143 70 72 219
-72 220 1 144 71
-73 1 144 145 74
-74 2 146 73 75
-75 3 147 74 76
-76 77 4 148 75
-77 78 5 149 76
-78 77 79 6 150
-79 78 80 7 151
-80 79 81 8 152
-81 80 82 9 153
-82 154 81 83 10
-83 11 155 82 84
-84 12 156 83 85
-85 13 157 84 86
-86 14 158 85 87
-87 88 15 159 86
-88 89 16 160 87
-89 88 90 17 161
-90 89 91 18 162
-91 90 92 19 163
-92 91 93 20 164
-93 165 92 94 21
-94 22 166 93 95
-95 23 167 94 96
-96 24 168 95 97
-97 25 169 96 98
-98 99 26 170 97
-99 100 27 171 98
-100 99 101 28 172
-101 100 102 29 173
-102 101 103 30 174
-103 102 104 31 175
-104 176 103 105 32
-105 33 177 104 106
-106 34 178 105 107
-107 35 179 106 108
-108 36 180 107 109
-109 110 37 181 108
-110 111 38 182 109
-111 110 112 39 183
-112 111 113 40 184
-113 112 114 41 185
-114 113 115 42 186
-115 187 114 116 43
-116 44 188 115 117
-117 45 189 116 118
-118 46 190 117 119
-119 47 191 118 120
-120 121 48 192 119
-121 122 49 193 120
-122 121 123 50 194
-123 122 124 51 195
-124 123 125 52 196
-125 124 126 53 197
-126 198 125 127 54
-127 55 199 126 128
-128 56 200 127 129
-129 57 201 128 130
-130 58 202 129 131
-131 132 59 203 130
-132 133 60 204 131
-133 132 134 61 205
-134 133 135 62 206
-135 134 136 63 207
-136 135 137 64 208
-137 209 136 138 65
-138 66 210 137 139
-139 67 211 138 140
-140 68 212 139 141
-141 69 213 140 142
-142 143 70 214 141
-143 144 71 215 142
-144 143 72 73 216
-145 146 73 216 217
-146 145 147 74 218
-147 146 148 75 219
-148 220 147 149 76
-149 77 221 148 150
-150 78 222 149 151
-151 79 223 150 152
-152 80 224 151 153
-153 154 81 225 152
-154 155 82 226 153
-155 154 156 83 227
-156 155 157 84 228
-157 156 158 85 229
-158 157 159 86 230
-159 231 158 160 87
-160 88 232 159 161
-161 89 233 160 162
-162 90 234 161 163
-163 91 235 162 164
-164 165 92 236 163
-165 166 93 237 164
-166 165 167 94 238
-167 166 168 95 239
-168 167 169 96 240
-169 168 170 97 241
-170 242 169 171 98
-171 99 243 170 172
-172 100 244 171 173
-173 101 245 172 174
-174 102 246 173 175
-175 176 103 247 174
-176 177 104 248 175
-177 176 178 105 249
-178 177 179 106 250
-179 178 180 107 251
-180 179 181 108 252
-181 253 180 182 109
-182 110 254 181 183
-183 111 255 182 184
-184 112 256 183 185
-185 113 257 184 186
-186 187 114 258 185
-187 188 115 259 186
-188 187 189 116 260
-189 188 190 117 261
-190 189 191 118 262
-191 190 192 119 263
-192 264 191 193 120
-193 121 265 192 194
-194 122 266 193 195
-195 123 267 194 196
-196 124 268 195 197
-197 198 125 269 196
-198 199 126 270 197
-199 198 200 127 271
-200 199 201 128 272
-201 200 202 129 273
-202 201 203 130 274
-203 275 202 204 131
-204 132 276 203 205
-205 133 277 204 206
-206 134 278 205 207
-207 135 279 206 208
-208 209 136 280 207
-209 210 137 281 208
-210 209 211 138 282
-211 210 212 139 283
-212 211 213 140 284
-213 212 214 141 285
-214 286 213 215 142
-215 143 287 214 216
-216 144 145 288 215
-217 145 288 69 218
-218 146 70 217 219
-219 220 147 71 218
-220 221 148 72 219
-221 220 1 222 149
-222 221 2 223 150
-223 222 3 224 151
-224 223 4 225 152
-225 224 5 226 153
-226 154 225 6 227
-227 155 226 7 228
-228 156 227 8 229
-229 157 228 9 230
-230 231 158 229 10
-231 11 232 159 230
-232 231 12 233 160
-233 232 13 234 161
-234 233 14 235 162
-235 234 15 236 163
-236 235 16 237 164
-237 165 236 17 238
-238 166 237 18 239
-239 167 238 19 240
-240 168 239 20 241
-241 242 169 240 21
-242 22 243 170 241
-243 242 23 244 171
-244 243 24 245 172
-245 244 25 246 173
-246 245 26 247 174
-247 246 27 248 175
-248 176 247 28 249
-249 177 248 29 250
-250 178 249 30 251
-251 179 250 31 252
-252 253 180 251 32
-253 33 254 181 252
-254 253 34 255 182
-255 254 35 256 183
-256 255 36 257 184
-257 256 37 258 185
-258 257 38 259 186
-259 187 258 39 260
-260 188 259 40 261
-261 189 260 41 262
-262 190 261 42 263
-263 264 191 262 43
-264 44 265 192 263
-265 264 45 266 193
-266 265 46 267 194
-267 266 47 268 195
-268 267 48 269 196
-269 268 49 270 197
-270 198 269 50 271
-271 199 270 51 272
-272 200 271 52 273
-273 201 272 53 274
-274 275 202 273 54
-275 55 276 203 274
-276 275 56 277 204
-277 276 57 278 205
-278 277 58 279 206
-279 278 59 280 207
-280 279 60 281 208
-281 209 280 61 282
-282 210 281 62 283
-283 211 282 63 284
-284 212 283 64 285
-285 286 213 284 65
-286 66 287 214 285
-287 286 67 288 215
-288 287 68 216 217
0