Graph forms
for C4 [ 212, 2 ] = {4,4}_14,4
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On this page are computer-accessible forms for the graph C4[ 212, 2 ] =
{4,4}_14,4.
(I) Following is a form readable by MAGMA:
g:=Graph<212|{ {2, 3}, {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}, {180, 181}, {178, 179}, {176,
177}, {174, 175}, {172, 173}, {170, 171}, {168, 169}, {166, 167}, {164, 165},
{162, 163}, {160, 161}, {158, 159}, {156, 157}, {154, 155}, {152, 153}, {150,
151}, {148, 149}, {146, 147}, {144, 145}, {142, 143}, {140, 141}, {138, 139},
{136, 137}, {70, 71}, {68, 69}, {66, 67}, {64, 65}, {62, 63}, {60, 61}, {58,
59}, {56, 57}, {54, 55}, {52, 53}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {42,
43}, {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}, {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}, {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}, {1, 2}, {209, 210},
{205, 206}, {201, 202}, {197, 198}, {193, 194}, {189, 190}, {185, 186}, {181,
182}, {177, 178}, {173, 174}, {169, 170}, {165, 166}, {161, 162}, {157, 158},
{153, 154}, {149, 150}, {145, 146}, {141, 142}, {137, 138}, {69, 70}, {65, 66},
{61, 62}, {57, 58}, {53, 54}, {49, 50}, {45, 46}, {5, 6}, {9, 10}, {13, 14},
{17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {41, 42}, {73, 74},
{77, 78}, {81, 82}, {85, 86}, {89, 90}, {93, 94}, {97, 98}, {101, 102}, {105,
106}, {109, 110}, {113, 114}, {117, 118}, {121, 122}, {125, 126}, {129, 130},
{133, 134}, {3, 4}, {211, 212}, {203, 204}, {195, 196}, {187, 188}, {179, 180},
{171, 172}, {163, 164}, {155, 156}, {147, 148}, {139, 140}, {67, 68}, {59, 60},
{51, 52}, {43, 44}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {75, 76}, {83, 84},
{91, 92}, {99, 100}, {107, 108}, {115, 116}, {123, 124}, {131, 132}, {7, 8},
{199, 200}, {183, 184}, {167, 168}, {151, 152}, {55, 56}, {23, 24}, {39, 40},
{71, 72}, {87, 88}, {103, 104}, {119, 120}, {135, 136}, {15, 16}, {207, 208},
{175, 176}, {143, 144}, {47, 48}, {79, 80}, {111, 112}, {64, 124}, {67, 127},
{66, 126}, {65, 125}, {31, 32}, {159, 160}, {95, 96}, {47, 107}, {63, 123}, {62,
122}, {61, 121}, {60, 120}, {55, 115}, {54, 114}, {53, 113}, {52, 112}, {56,
116}, {59, 119}, {58, 118}, {57, 117}, {48, 108}, {51, 111}, {50, 110}, {49,
109}, {1, 107}, {4, 110}, {5, 111}, {16, 122}, {17, 123}, {20, 126}, {21, 127},
{1, 106}, {2, 108}, {3, 109}, {18, 124}, {19, 125}, {6, 112}, {7, 113}, {14,
120}, {15, 121}, {8, 114}, {9, 115}, {12, 118}, {13, 119}, {10, 116}, {11, 117},
{63, 64}, {191, 192}, {22, 128}, {63, 169}, {62, 168}, {55, 161}, {54, 160},
{23, 129}, {30, 136}, {31, 137}, {86, 192}, {87, 193}, {94, 200}, {95, 201},
{24, 130}, {61, 167}, {60, 166}, {57, 163}, {56, 162}, {25, 131}, {28, 134},
{29, 135}, {88, 194}, {89, 195}, {92, 198}, {93, 199}, {26, 132}, {59, 165},
{58, 164}, {27, 133}, {90, 196}, {91, 197}, {1, 167}, {8, 174}, {9, 175}, {16,
182}, {17, 183}, {24, 190}, {25, 191}, {2, 168}, {53, 159}, {52, 158}, {49,
155}, {48, 154}, {3, 169}, {6, 172}, {7, 173}, {18, 184}, {19, 185}, {22, 188},
{23, 189}, {32, 138}, {33, 139}, {36, 142}, {37, 143}, {96, 202}, {97, 203},
{100, 206}, {101, 207}, {4, 170}, {51, 157}, {50, 156}, {5, 171}, {20, 186},
{21, 187}, {34, 140}, {35, 141}, {98, 204}, {99, 205}, {38, 144}, {47, 153},
{46, 152}, {39, 145}, {102, 208}, {103, 209}, {10, 176}, {45, 151}, {44, 150},
{11, 177}, {14, 180}, {15, 181}, {40, 146}, {41, 147}, {104, 210}, {105, 211},
{12, 178}, {43, 149}, {42, 148}, {13, 179}, {106, 212}, {107, 212}, {68, 128},
{69, 129}, {70, 130}, {71, 131}, {76, 136}, {77, 137}, {78, 138}, {79, 139},
{84, 144}, {85, 145}, {86, 146}, {87, 147}, {92, 152}, {93, 153}, {94, 154},
{95, 155}, {100, 160}, {101, 161}, {102, 162}, {103, 163}, {72, 132}, {73, 133},
{74, 134}, {75, 135}, {88, 148}, {89, 149}, {90, 150}, {91, 151}, {104, 164},
{105, 165}, {106, 166}, {26, 192}, {27, 193}, {30, 196}, {31, 197}, {80, 140},
{81, 141}, {82, 142}, {83, 143}, {28, 194}, {29, 195}, {32, 198}, {33, 199},
{40, 206}, {41, 207}, {34, 200}, {69, 175}, {68, 174}, {65, 171}, {64, 170},
{35, 201}, {38, 204}, {39, 205}, {80, 186}, {81, 187}, {84, 190}, {85, 191},
{36, 202}, {67, 173}, {66, 172}, {37, 203}, {82, 188}, {83, 189}, {70, 176},
{71, 177}, {78, 184}, {79, 185}, {42, 208}, {46, 212}, {43, 209}, {72, 178},
{73, 179}, {76, 182}, {77, 183}, {96, 156}, {97, 157}, {98, 158}, {99, 159},
{44, 210}, {45, 211}, {74, 180}, {75, 181}, {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, 167, 106, 107)(3, 61, 105, 47)(4, 121, 104, 153)(5, 15, 103, 93)(6, 181,
102, 199)(7, 75, 101, 33)(8, 135, 100, 139)(9, 29, 99, 79)(10, 195, 98, 185)(11,
89, 97, 19)(12, 149, 96, 125)(13, 43, 95, 65)(14, 209, 94, 171)(16, 163, 92,
111)(17, 57, 91, 51)(18, 117, 90, 157)(20, 177, 88, 203)(21, 71, 87, 37)(22,
131, 86, 143)(23, 25, 85, 83)(24, 191, 84, 189)(26, 145, 82, 129)(27, 39, 81,
69)(28, 205, 80, 175)(30, 159, 78, 115)(31, 53, 77, 55)(32, 113, 76, 161)(34,
173, 74, 207)(35, 67, 73, 41)(36, 127, 72, 147)(38, 187, 70, 193)(40, 141, 68,
133)(42, 201, 66, 179)(44, 155, 64, 119)(45, 49, 63, 59)(46, 109, 62, 165)(48,
169, 60, 211)(50, 123, 58, 151)(52, 183, 56, 197)(54, 137)(108, 168, 166,
212)(110, 122, 164, 152)(112, 182, 162, 198)(114, 136, 160, 138)(116, 196, 158,
184)(118, 150, 156, 124)(120, 210, 154, 170)(126, 178, 148, 202)(128, 132, 146,
142)(130, 192, 144, 188)(134, 206, 140, 174)(172, 180, 208, 200)(176, 194, 204,
186) (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, 106)(3, 105)(4, 104)(5, 103)(6, 102)(7, 101)(8, 100)(9, 99)(10, 98)(11,
97)(12, 96)(13, 95)(14, 94)(15, 93)(16, 92)(17, 91)(18, 90)(19, 89)(20, 88)(21,
87)(22, 86)(23, 85)(24, 84)(25, 83)(26, 82)(27, 81)(28, 80)(29, 79)(30, 78)(31,
77)(32, 76)(33, 75)(34, 74)(35, 73)(36, 72)(37, 71)(38, 70)(39, 69)(40, 68)(41,
67)(42, 66)(43, 65)(44, 64)(45, 63)(46, 62)(47, 61)(48, 60)(49, 59)(50, 58)(51,
57)(52, 56)(53, 55)(107, 167)(108, 166)(109, 165)(110, 164)(111, 163)(112,
162)(113, 161)(114, 160)(115, 159)(116, 158)(117, 157)(118, 156)(119, 155)(120,
154)(121, 153)(122, 152)(123, 151)(124, 150)(125, 149)(126, 148)(127, 147)(128,
146)(129, 145)(130, 144)(131, 143)(132, 142)(133, 141)(134, 140)(135, 139)(136,
138)(168, 212)(169, 211)(170, 210)(171, 209)(172, 208)(173, 207)(174, 206)(175,
205)(176, 204)(177, 203)(178, 202)(179, 201)(180, 200)(181, 199)(182, 198)(183,
197)(184, 196)(185, 195)(186, 194)(187, 193)(188, 192)(189, 191)
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)
C4[ 212, 2 ]
212
-1 2 167 106 107
-2 1 3 168 108
-3 2 4 169 109
-4 110 3 5 170
-5 111 4 6 171
-6 112 5 7 172
-7 113 6 8 173
-8 114 7 9 174
-9 115 8 10 175
-10 11 176 116 9
-11 12 177 117 10
-12 11 13 178 118
-13 12 14 179 119
-14 13 15 180 120
-15 121 14 16 181
-16 122 15 17 182
-17 123 16 18 183
-18 124 17 19 184
-19 125 18 20 185
-20 126 19 21 186
-21 22 187 127 20
-22 23 188 128 21
-23 22 24 189 129
-24 23 25 190 130
-25 24 26 191 131
-26 132 25 27 192
-27 133 26 28 193
-28 134 27 29 194
-29 135 28 30 195
-30 136 29 31 196
-31 137 30 32 197
-32 33 198 138 31
-33 34 199 139 32
-34 33 35 200 140
-35 34 36 201 141
-36 35 37 202 142
-37 143 36 38 203
-38 144 37 39 204
-39 145 38 40 205
-40 146 39 41 206
-41 147 40 42 207
-42 148 41 43 208
-43 44 209 149 42
-44 45 210 150 43
-45 44 46 211 151
-46 45 47 212 152
-47 46 48 107 153
-48 154 47 49 108
-49 155 48 50 109
-50 110 156 49 51
-51 111 157 50 52
-52 112 158 51 53
-53 113 159 52 54
-54 55 114 160 53
-55 56 115 161 54
-56 55 57 116 162
-57 56 58 117 163
-58 57 59 118 164
-59 165 58 60 119
-60 166 59 61 120
-61 121 167 60 62
-62 122 168 61 63
-63 123 169 62 64
-64 124 170 63 65
-65 66 125 171 64
-66 67 126 172 65
-67 66 68 127 173
-68 67 69 128 174
-69 68 70 129 175
-70 176 69 71 130
-71 177 70 72 131
-72 132 178 71 73
-73 133 179 72 74
-74 134 180 73 75
-75 135 181 74 76
-76 77 136 182 75
-77 78 137 183 76
-78 77 79 138 184
-79 78 80 139 185
-80 79 81 140 186
-81 187 80 82 141
-82 188 81 83 142
-83 143 189 82 84
-84 144 190 83 85
-85 145 191 84 86
-86 146 192 85 87
-87 88 147 193 86
-88 89 148 194 87
-89 88 90 149 195
-90 89 91 150 196
-91 90 92 151 197
-92 198 91 93 152
-93 199 92 94 153
-94 154 200 93 95
-95 155 201 94 96
-96 156 202 95 97
-97 157 203 96 98
-98 99 158 204 97
-99 100 159 205 98
-100 99 101 160 206
-101 100 102 161 207
-102 101 103 162 208
-103 209 102 104 163
-104 210 103 105 164
-105 165 211 104 106
-106 1 166 212 105
-107 1 47 212 108
-108 2 48 107 109
-109 110 3 49 108
-110 111 4 50 109
-111 110 112 5 51
-112 111 113 6 52
-113 112 114 7 53
-114 113 115 8 54
-115 55 114 116 9
-116 56 115 117 10
-117 11 57 116 118
-118 12 58 117 119
-119 13 59 118 120
-120 121 14 60 119
-121 122 15 61 120
-122 121 123 16 62
-123 122 124 17 63
-124 123 125 18 64
-125 124 126 19 65
-126 66 125 127 20
-127 67 126 128 21
-128 22 68 127 129
-129 23 69 128 130
-130 24 70 129 131
-131 132 25 71 130
-132 133 26 72 131
-133 132 134 27 73
-134 133 135 28 74
-135 134 136 29 75
-136 135 137 30 76
-137 77 136 138 31
-138 78 137 139 32
-139 33 79 138 140
-140 34 80 139 141
-141 35 81 140 142
-142 143 36 82 141
-143 144 37 83 142
-144 143 145 38 84
-145 144 146 39 85
-146 145 147 40 86
-147 146 148 41 87
-148 88 147 149 42
-149 89 148 150 43
-150 44 90 149 151
-151 45 91 150 152
-152 46 92 151 153
-153 154 47 93 152
-154 155 48 94 153
-155 154 156 49 95
-156 155 157 50 96
-157 156 158 51 97
-158 157 159 52 98
-159 99 158 160 53
-160 100 159 161 54
-161 55 101 160 162
-162 56 102 161 163
-163 57 103 162 164
-164 165 58 104 163
-165 166 59 105 164
-166 165 167 60 106
-167 1 166 168 61
-168 2 167 169 62
-169 3 168 170 63
-170 4 169 171 64
-171 5 170 172 65
-172 66 6 171 173
-173 67 7 172 174
-174 68 8 173 175
-175 176 69 9 174
-176 177 70 10 175
-177 11 176 178 71
-178 12 177 179 72
-179 13 178 180 73
-180 14 179 181 74
-181 15 180 182 75
-182 16 181 183 76
-183 77 17 182 184
-184 78 18 183 185
-185 79 19 184 186
-186 187 80 20 185
-187 188 81 21 186
-188 22 187 189 82
-189 23 188 190 83
-190 24 189 191 84
-191 25 190 192 85
-192 26 191 193 86
-193 27 192 194 87
-194 88 28 193 195
-195 89 29 194 196
-196 90 30 195 197
-197 198 91 31 196
-198 199 92 32 197
-199 33 198 200 93
-200 34 199 201 94
-201 35 200 202 95
-202 36 201 203 96
-203 37 202 204 97
-204 38 203 205 98
-205 99 39 204 206
-206 100 40 205 207
-207 101 41 206 208
-208 209 102 42 207
-209 210 103 43 208
-210 44 209 211 104
-211 45 210 212 105
-212 46 211 106 107
0