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