Graph forms
for C4 [ 221, 3 ] = C_221(1,103)
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On this page are computer-accessible forms for the graph C4[ 221, 3 ] =
C_221(1,103).
(I) Following is a form readable by MAGMA:
g:=Graph<221|{ {2, 3}, {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}, {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}, {134,
135}, {132, 133}, {72, 73}, {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},
{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}, {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}, {1, 2}, {217, 218}, {213, 214},
{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}, {133,
134}, {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}, {3, 4}, {219, 220}, {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}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43,
44}, {75, 76}, {83, 84}, {91, 92}, {99, 100}, {107, 108}, {115, 116}, {123,
124}, {131, 132}, {7, 8}, {215, 216}, {199, 200}, {183, 184}, {167, 168}, {151,
152}, {135, 136}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {87, 88}, {103, 104},
{119, 120}, {15, 16}, {207, 208}, {175, 176}, {143, 144}, {47, 48}, {79, 80},
{111, 112}, {31, 32}, {159, 160}, {95, 96}, {8, 111}, {16, 119}, {24, 127}, {1,
104}, {3, 106}, {5, 108}, {7, 110}, {17, 120}, {19, 122}, {21, 124}, {23, 126},
{2, 105}, {6, 109}, {18, 121}, {22, 125}, {4, 107}, {20, 123}, {1, 119}, {8,
126}, {9, 127}, {9, 112}, {11, 114}, {13, 116}, {15, 118}, {2, 120}, {3, 121},
{6, 124}, {7, 125}, {10, 113}, {14, 117}, {4, 122}, {5, 123}, {12, 115}, {191,
192}, {63, 64}, {10, 128}, {63, 181}, {62, 180}, {59, 177}, {58, 176}, {47,
165}, {46, 164}, {11, 129}, {14, 132}, {15, 133}, {26, 144}, {27, 145}, {30,
148}, {31, 149}, {42, 160}, {43, 161}, {74, 192}, {75, 193}, {78, 196}, {79,
197}, {90, 208}, {91, 209}, {94, 212}, {95, 213}, {12, 130}, {61, 179}, {60,
178}, {45, 163}, {13, 131}, {28, 146}, {29, 147}, {44, 162}, {76, 194}, {77,
195}, {92, 210}, {93, 211}, {16, 134}, {57, 175}, {56, 174}, {49, 167}, {48,
166}, {17, 135}, {24, 142}, {25, 143}, {80, 198}, {81, 199}, {88, 206}, {89,
207}, {25, 128}, {63, 166}, {61, 164}, {59, 162}, {57, 160}, {27, 130}, {29,
132}, {31, 134}, {89, 192}, {91, 194}, {93, 196}, {95, 198}, {18, 136}, {55,
173}, {54, 172}, {51, 169}, {50, 168}, {19, 137}, {22, 140}, {23, 141}, {82,
200}, {83, 201}, {86, 204}, {87, 205}, {26, 129}, {62, 165}, {58, 161}, {30,
133}, {90, 193}, {94, 197}, {20, 138}, {53, 171}, {52, 170}, {21, 139}, {84,
202}, {85, 203}, {28, 131}, {60, 163}, {92, 195}, {32, 135}, {56, 159}, {48,
151}, {40, 143}, {96, 199}, {104, 207}, {112, 215}, {33, 136}, {55, 158}, {53,
156}, {51, 154}, {49, 152}, {35, 138}, {37, 140}, {39, 142}, {97, 200}, {99,
202}, {101, 204}, {103, 206}, {113, 216}, {115, 218}, {117, 220}, {34, 137},
{54, 157}, {50, 153}, {38, 141}, {98, 201}, {102, 205}, {114, 217}, {118, 221},
{36, 139}, {52, 155}, {100, 203}, {116, 219}, {32, 150}, {33, 151}, {40, 158},
{41, 159}, {96, 214}, {97, 215}, {41, 144}, {47, 150}, {45, 148}, {43, 146},
{105, 208}, {107, 210}, {109, 212}, {111, 214}, {34, 152}, {35, 153}, {38, 156},
{39, 157}, {98, 216}, {99, 217}, {102, 220}, {103, 221}, {42, 145}, {46, 149},
{106, 209}, {110, 213}, {36, 154}, {37, 155}, {100, 218}, {101, 219}, {44, 147},
{108, 211}, {1, 221}, {64, 167}, {72, 175}, {80, 183}, {88, 191}, {65, 168},
{71, 174}, {69, 172}, {67, 170}, {81, 184}, {83, 186}, {85, 188}, {87, 190},
{66, 169}, {70, 173}, {82, 185}, {86, 189}, {68, 171}, {84, 187}, {64, 182},
{72, 190}, {65, 183}, {73, 191}, {73, 176}, {75, 178}, {77, 180}, {79, 182},
{66, 184}, {71, 189}, {70, 188}, {67, 185}, {74, 177}, {78, 181}, {68, 186},
{69, 187}, {76, 179}, {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: (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) (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, 119)(3, 16)(4, 134)(5, 31)(6, 149)(7, 46)(8, 164)(9, 61)(10, 179)(11,
76)(12, 194)(13, 91)(14, 209)(15, 106)(17, 121)(19, 136)(20, 33)(21, 151)(22,
48)(23, 166)(24, 63)(25, 181)(26, 78)(27, 196)(28, 93)(29, 211)(30, 108)(32,
123)(34, 138)(36, 153)(37, 50)(38, 168)(39, 65)(40, 183)(41, 80)(42, 198)(43,
95)(44, 213)(45, 110)(47, 125)(49, 140)(51, 155)(53, 170)(54, 67)(55, 185)(56,
82)(57, 200)(58, 97)(59, 215)(60, 112)(62, 127)(64, 142)(66, 157)(68, 172)(70,
187)(71, 84)(72, 202)(73, 99)(74, 217)(75, 114)(77, 129)(79, 144)(81, 159)(83,
174)(85, 189)(87, 204)(88, 101)(89, 219)(90, 116)(92, 131)(94, 146)(96, 161)(98,
176)(100, 191)(102, 206)(104, 221)(105, 118)(107, 133)(109, 148)(111, 163)(113,
178)(115, 193)(117, 208)(122, 135)(124, 150)(126, 165)(128, 180)(130, 195)(132,
210)(139, 152)(141, 167)(143, 182)(145, 197)(147, 212)(156, 169)(158, 184)(160,
199)(162, 214)(173, 186)(175, 201)(177, 216)(190, 203)(192, 218)(207, 220)
c: (2, 104)(3, 207)(4, 89)(5, 192)(6, 74)(7, 177)(8, 59)(9, 162)(10, 44)(11,
147)(12, 29)(13, 132)(15, 117)(16, 220)(17, 102)(18, 205)(19, 87)(20, 190)(21,
72)(22, 175)(23, 57)(24, 160)(25, 42)(26, 145)(28, 130)(30, 115)(31, 218)(32,
100)(33, 203)(34, 85)(35, 188)(36, 70)(37, 173)(38, 55)(39, 158)(41, 143)(43,
128)(45, 113)(46, 216)(47, 98)(48, 201)(49, 83)(50, 186)(51, 68)(52, 171)(54,
156)(56, 141)(58, 126)(60, 111)(61, 214)(62, 96)(63, 199)(64, 81)(65, 184)(67,
169)(69, 154)(71, 139)(73, 124)(75, 109)(76, 212)(77, 94)(78, 197)(80, 182)(82,
167)(84, 152)(86, 137)(88, 122)(90, 107)(91, 210)(93, 195)(95, 180)(97, 165)(99,
150)(101, 135)(103, 120)(106, 208)(108, 193)(110, 178)(112, 163)(114, 148)(116,
133)(119, 221)(121, 206)(123, 191)(125, 176)(127, 161)(129, 146)(134, 219)(136,
204)(138, 189)(140, 174)(142, 159)(149, 217)(151, 202)(153, 187)(155, 172)(164,
215)(166, 200)(168, 185)(179, 213)(181, 198)(194, 211)
C4[ 221, 3 ]
221
-1 221 2 104 119
-2 1 3 105 120
-3 121 2 4 106
-4 122 3 5 107
-5 123 4 6 108
-6 124 5 7 109
-7 110 125 6 8
-8 111 126 7 9
-9 112 127 8 10
-10 11 113 128 9
-11 12 114 129 10
-12 11 13 115 130
-13 12 14 116 131
-14 132 13 15 117
-15 133 14 16 118
-16 134 15 17 119
-17 135 16 18 120
-18 121 136 17 19
-19 122 137 18 20
-20 123 138 19 21
-21 22 124 139 20
-22 23 125 140 21
-23 22 24 126 141
-24 23 25 127 142
-25 143 24 26 128
-26 144 25 27 129
-27 145 26 28 130
-28 146 27 29 131
-29 132 147 28 30
-30 133 148 29 31
-31 134 149 30 32
-32 33 135 150 31
-33 34 136 151 32
-34 33 35 137 152
-35 34 36 138 153
-36 154 35 37 139
-37 155 36 38 140
-38 156 37 39 141
-39 157 38 40 142
-40 143 158 39 41
-41 144 159 40 42
-42 145 160 41 43
-43 44 146 161 42
-44 45 147 162 43
-45 44 46 148 163
-46 45 47 149 164
-47 165 46 48 150
-48 166 47 49 151
-49 167 48 50 152
-50 168 49 51 153
-51 154 169 50 52
-52 155 170 51 53
-53 156 171 52 54
-54 55 157 172 53
-55 56 158 173 54
-56 55 57 159 174
-57 56 58 160 175
-58 176 57 59 161
-59 177 58 60 162
-60 178 59 61 163
-61 179 60 62 164
-62 165 180 61 63
-63 166 181 62 64
-64 167 182 63 65
-65 66 168 183 64
-66 67 169 184 65
-67 66 68 170 185
-68 67 69 171 186
-69 187 68 70 172
-70 188 69 71 173
-71 189 70 72 174
-72 190 71 73 175
-73 176 191 72 74
-74 177 192 73 75
-75 178 193 74 76
-76 77 179 194 75
-77 78 180 195 76
-78 77 79 181 196
-79 78 80 182 197
-80 198 79 81 183
-81 199 80 82 184
-82 200 81 83 185
-83 201 82 84 186
-84 187 202 83 85
-85 188 203 84 86
-86 189 204 85 87
-87 88 190 205 86
-88 89 191 206 87
-89 88 90 192 207
-90 89 91 193 208
-91 209 90 92 194
-92 210 91 93 195
-93 211 92 94 196
-94 212 93 95 197
-95 198 213 94 96
-96 199 214 95 97
-97 200 215 96 98
-98 99 201 216 97
-99 100 202 217 98
-100 99 101 203 218
-101 100 102 204 219
-102 220 101 103 205
-103 221 102 104 206
-104 1 103 105 207
-105 2 104 106 208
-106 209 3 105 107
-107 210 4 106 108
-108 211 5 107 109
-109 110 212 6 108
-110 111 213 7 109
-111 110 112 214 8
-112 111 113 215 9
-113 112 114 216 10
-114 11 113 115 217
-115 12 114 116 218
-116 13 115 117 219
-117 220 14 116 118
-118 221 15 117 119
-119 1 16 118 120
-120 121 2 17 119
-121 122 3 18 120
-122 121 123 4 19
-123 122 124 5 20
-124 123 125 6 21
-125 22 124 126 7
-126 23 125 127 8
-127 24 126 128 9
-128 25 127 129 10
-129 11 26 128 130
-130 12 27 129 131
-131 132 13 28 130
-132 133 14 29 131
-133 132 134 15 30
-134 133 135 16 31
-135 134 136 17 32
-136 33 135 137 18
-137 34 136 138 19
-138 35 137 139 20
-139 36 138 140 21
-140 22 37 139 141
-141 23 38 140 142
-142 143 24 39 141
-143 144 25 40 142
-144 143 145 26 41
-145 144 146 27 42
-146 145 147 28 43
-147 44 146 148 29
-148 45 147 149 30
-149 46 148 150 31
-150 47 149 151 32
-151 33 48 150 152
-152 34 49 151 153
-153 154 35 50 152
-154 155 36 51 153
-155 154 156 37 52
-156 155 157 38 53
-157 156 158 39 54
-158 55 157 159 40
-159 56 158 160 41
-160 57 159 161 42
-161 58 160 162 43
-162 44 59 161 163
-163 45 60 162 164
-164 165 46 61 163
-165 166 47 62 164
-166 165 167 48 63
-167 166 168 49 64
-168 167 169 50 65
-169 66 168 170 51
-170 67 169 171 52
-171 68 170 172 53
-172 69 171 173 54
-173 55 70 172 174
-174 56 71 173 175
-175 176 57 72 174
-176 177 58 73 175
-177 176 178 59 74
-178 177 179 60 75
-179 178 180 61 76
-180 77 179 181 62
-181 78 180 182 63
-182 79 181 183 64
-183 80 182 184 65
-184 66 81 183 185
-185 67 82 184 186
-186 187 68 83 185
-187 188 69 84 186
-188 187 189 70 85
-189 188 190 71 86
-190 189 191 72 87
-191 88 190 192 73
-192 89 191 193 74
-193 90 192 194 75
-194 91 193 195 76
-195 77 92 194 196
-196 78 93 195 197
-197 198 79 94 196
-198 199 80 95 197
-199 198 200 81 96
-200 199 201 82 97
-201 200 202 83 98
-202 99 201 203 84
-203 100 202 204 85
-204 101 203 205 86
-205 102 204 206 87
-206 88 103 205 207
-207 89 104 206 208
-208 209 90 105 207
-209 210 91 106 208
-210 209 211 92 107
-211 210 212 93 108
-212 211 213 94 109
-213 110 212 214 95
-214 111 213 215 96
-215 112 214 216 97
-216 113 215 217 98
-217 99 114 216 218
-218 100 115 217 219
-219 220 101 116 218
-220 221 102 117 219
-221 220 1 103 118
0