Graph forms
for C4 [ 220, 3 ] = C_220(1,89)
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On this page are computer-accessible forms for the graph C4[ 220, 3 ] =
C_220(1,89).
(I) Following is a form readable by MAGMA:
g:=Graph<220|{ {2, 3}, {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}, {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}, {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}, {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}, {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}, {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}, {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}, {2, 91}, {4, 93}, {6, 95}, {32, 121}, {34, 123},
{36, 125}, {38, 127}, {128, 217}, {130, 219}, {1, 90}, {5, 94}, {33, 122}, {37,
126}, {129, 218}, {3, 92}, {131, 220}, {35, 124}, {7, 96}, {15, 104}, {23, 112},
{31, 120}, {8, 97}, {10, 99}, {12, 101}, {14, 103}, {24, 113}, {26, 115}, {28,
117}, {30, 119}, {9, 98}, {13, 102}, {25, 114}, {29, 118}, {11, 100}, {27, 116},
{16, 105}, {18, 107}, {20, 109}, {22, 111}, {17, 106}, {21, 110}, {19, 108},
{191, 192}, {63, 64}, {4, 135}, {68, 199}, {64, 195}, {60, 191}, {56, 187}, {52,
183}, {48, 179}, {44, 175}, {8, 139}, {12, 143}, {16, 147}, {20, 151}, {24,
155}, {28, 159}, {32, 163}, {36, 167}, {40, 171}, {72, 203}, {76, 207}, {80,
211}, {84, 215}, {88, 219}, {1, 132}, {67, 198}, {65, 196}, {59, 190}, {57,
188}, {51, 182}, {49, 180}, {43, 174}, {3, 134}, {9, 140}, {11, 142}, {17, 148},
{19, 150}, {25, 156}, {27, 158}, {33, 164}, {35, 166}, {41, 172}, {73, 204},
{75, 206}, {81, 212}, {83, 214}, {89, 220}, {2, 133}, {66, 197}, {58, 189}, {50,
181}, {10, 141}, {18, 149}, {26, 157}, {34, 165}, {42, 173}, {74, 205}, {82,
213}, {5, 136}, {69, 200}, {55, 186}, {53, 184}, {7, 138}, {21, 152}, {23, 154},
{37, 168}, {39, 170}, {71, 202}, {85, 216}, {87, 218}, {6, 137}, {70, 201}, {54,
185}, {22, 153}, {38, 169}, {86, 217}, {13, 144}, {47, 178}, {45, 176}, {15,
146}, {77, 208}, {79, 210}, {14, 145}, {46, 177}, {78, 209}, {39, 128}, {63,
152}, {55, 144}, {47, 136}, {103, 192}, {111, 200}, {119, 208}, {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}, {41, 130}, {61, 150}, {57, 146}, {45, 134}, {105, 194},
{109, 198}, {121, 210}, {125, 214}, {43, 132}, {59, 148}, {107, 196}, {123,
212}, {48, 137}, {54, 143}, {52, 141}, {50, 139}, {112, 201}, {114, 203}, {116,
205}, {118, 207}, {49, 138}, {53, 142}, {113, 202}, {117, 206}, {29, 160}, {31,
162}, {30, 161}, {51, 140}, {115, 204}, {64, 153}, {70, 159}, {68, 157}, {66,
155}, {96, 185}, {98, 187}, {100, 189}, {102, 191}, {65, 154}, {69, 158}, {97,
186}, {101, 190}, {1, 220}, {67, 156}, {99, 188}, {71, 160}, {79, 168}, {87,
176}, {95, 184}, {72, 161}, {74, 163}, {76, 165}, {78, 167}, {88, 177}, {90,
179}, {92, 181}, {94, 183}, {73, 162}, {77, 166}, {89, 178}, {93, 182}, {75,
164}, {91, 180}, {80, 169}, {82, 171}, {84, 173}, {86, 175}, {81, 170}, {85,
174}, {61, 192}, {63, 194}, {62, 193}, {83, 172}, {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, 132)(3, 43)(4, 174)(5, 85)(6, 216)(7, 127)(8, 38)(9, 169)(10, 80)(11,
211)(12, 122)(13, 33)(14, 164)(15, 75)(16, 206)(17, 117)(18, 28)(19, 159)(20,
70)(21, 201)(22, 112)(24, 154)(25, 65)(26, 196)(27, 107)(29, 149)(30, 60)(31,
191)(32, 102)(34, 144)(35, 55)(36, 186)(37, 97)(39, 139)(40, 50)(41, 181)(42,
92)(44, 134)(46, 176)(47, 87)(48, 218)(49, 129)(51, 171)(52, 82)(53, 213)(54,
124)(56, 166)(57, 77)(58, 208)(59, 119)(61, 161)(62, 72)(63, 203)(64, 114)(66,
156)(68, 198)(69, 109)(71, 151)(73, 193)(74, 104)(76, 146)(78, 188)(79, 99)(81,
141)(83, 183)(84, 94)(86, 136)(88, 178)(90, 220)(91, 131)(93, 173)(95, 215)(96,
126)(98, 168)(100, 210)(101, 121)(103, 163)(105, 205)(106, 116)(108, 158)(110,
200)(113, 153)(115, 195)(118, 148)(120, 190)(123, 143)(125, 185)(128, 138)(130,
180)(135, 175)(137, 217)(140, 170)(142, 212)(145, 165)(147, 207)(150, 160)(152,
202)(157, 197)(162, 192)(167, 187)(172, 182)(179, 219)(184, 214)(189, 209)(194,
204) (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, 90)(3, 179)(4, 48)(5, 137)(7, 95)(8, 184)(9, 53)(10, 142)(12, 100)(13,
189)(14, 58)(15, 147)(17, 105)(18, 194)(19, 63)(20, 152)(22, 110)(23, 199)(24,
68)(25, 157)(27, 115)(28, 204)(29, 73)(30, 162)(32, 120)(33, 209)(34, 78)(35,
167)(37, 125)(38, 214)(39, 83)(40, 172)(42, 130)(43, 219)(44, 88)(45, 177)(47,
135)(49, 93)(50, 182)(52, 140)(54, 98)(55, 187)(57, 145)(59, 103)(60, 192)(62,
150)(64, 108)(65, 197)(67, 155)(69, 113)(70, 202)(72, 160)(74, 118)(75, 207)(77,
165)(79, 123)(80, 212)(82, 170)(84, 128)(85, 217)(87, 175)(89, 133)(92, 180)(94,
138)(97, 185)(99, 143)(102, 190)(104, 148)(107, 195)(109, 153)(112, 200)(114,
158)(117, 205)(119, 163)(122, 210)(124, 168)(127, 215)(129, 173)(132, 220)(134,
178)(139, 183)(144, 188)(149, 193)(154, 198)(159, 203)(164, 208)(169, 213)(174,
218)
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)
C4[ 220, 3 ]
220
-1 132 220 2 90
-2 1 133 3 91
-3 2 134 4 92
-4 3 135 5 93
-5 4 136 6 94
-6 5 137 7 95
-7 6 138 8 96
-8 7 139 9 97
-9 8 140 10 98
-10 11 99 9 141
-11 12 100 10 142
-12 11 143 13 101
-13 12 144 14 102
-14 13 145 15 103
-15 14 146 16 104
-16 15 147 17 105
-17 16 148 18 106
-18 17 149 19 107
-19 18 150 20 108
-20 19 151 21 109
-21 22 110 20 152
-22 23 111 21 153
-23 22 154 24 112
-24 23 155 25 113
-25 24 156 26 114
-26 25 157 27 115
-27 26 158 28 116
-28 27 159 29 117
-29 28 160 30 118
-30 29 161 31 119
-31 30 162 32 120
-32 33 121 31 163
-33 34 122 32 164
-34 33 165 35 123
-35 34 166 36 124
-36 35 167 37 125
-37 36 168 38 126
-38 37 169 39 127
-39 38 170 40 128
-40 39 171 41 129
-41 40 172 42 130
-42 41 173 43 131
-43 44 132 42 174
-44 45 133 43 175
-45 44 176 46 134
-46 45 177 47 135
-47 46 178 48 136
-48 47 179 49 137
-49 48 180 50 138
-50 49 181 51 139
-51 50 182 52 140
-52 51 183 53 141
-53 52 184 54 142
-54 55 143 53 185
-55 56 144 54 186
-56 55 187 57 145
-57 56 188 58 146
-58 57 189 59 147
-59 58 190 60 148
-60 59 191 61 149
-61 60 192 62 150
-62 61 193 63 151
-63 62 194 64 152
-64 63 195 65 153
-65 66 154 64 196
-66 67 155 65 197
-67 66 198 68 156
-68 67 199 69 157
-69 68 200 70 158
-70 69 201 71 159
-71 70 202 72 160
-72 71 203 73 161
-73 72 204 74 162
-74 73 205 75 163
-75 74 206 76 164
-76 77 165 75 207
-77 78 166 76 208
-78 77 209 79 167
-79 78 210 80 168
-80 79 211 81 169
-81 80 212 82 170
-82 81 213 83 171
-83 82 214 84 172
-84 83 215 85 173
-85 84 216 86 174
-86 85 217 87 175
-87 88 176 86 218
-88 89 177 87 219
-89 88 220 90 178
-90 1 89 91 179
-91 2 90 92 180
-92 3 91 93 181
-93 4 92 94 182
-94 5 93 95 183
-95 6 94 96 184
-96 7 95 97 185
-97 8 96 98 186
-98 99 187 9 97
-99 100 188 10 98
-100 11 99 101 189
-101 12 100 102 190
-102 13 101 103 191
-103 14 102 104 192
-104 15 103 105 193
-105 16 104 106 194
-106 17 105 107 195
-107 18 106 108 196
-108 19 107 109 197
-109 110 198 20 108
-110 111 199 21 109
-111 22 110 112 200
-112 23 111 113 201
-113 24 112 114 202
-114 25 113 115 203
-115 26 114 116 204
-116 27 115 117 205
-117 28 116 118 206
-118 29 117 119 207
-119 30 118 120 208
-120 121 209 31 119
-121 122 210 32 120
-122 33 121 123 211
-123 34 122 124 212
-124 35 123 125 213
-125 36 124 126 214
-126 37 125 127 215
-127 38 126 128 216
-128 39 127 129 217
-129 40 128 130 218
-130 41 129 131 219
-131 132 220 42 130
-132 1 133 43 131
-133 44 132 2 134
-134 45 133 3 135
-135 46 134 4 136
-136 47 135 5 137
-137 48 136 6 138
-138 49 137 7 139
-139 50 138 8 140
-140 51 139 9 141
-141 52 140 10 142
-142 11 143 53 141
-143 12 144 54 142
-144 55 143 13 145
-145 56 144 14 146
-146 57 145 15 147
-147 58 146 16 148
-148 59 147 17 149
-149 60 148 18 150
-150 61 149 19 151
-151 62 150 20 152
-152 63 151 21 153
-153 22 154 64 152
-154 23 155 65 153
-155 66 154 24 156
-156 67 155 25 157
-157 68 156 26 158
-158 69 157 27 159
-159 70 158 28 160
-160 71 159 29 161
-161 72 160 30 162
-162 73 161 31 163
-163 74 162 32 164
-164 33 165 75 163
-165 34 166 76 164
-166 77 165 35 167
-167 78 166 36 168
-168 79 167 37 169
-169 80 168 38 170
-170 81 169 39 171
-171 82 170 40 172
-172 83 171 41 173
-173 84 172 42 174
-174 85 173 43 175
-175 44 176 86 174
-176 45 177 87 175
-177 88 176 46 178
-178 89 177 47 179
-179 90 178 48 180
-180 91 179 49 181
-181 92 180 50 182
-182 93 181 51 183
-183 94 182 52 184
-184 95 183 53 185
-185 96 184 54 186
-186 55 187 97 185
-187 56 188 98 186
-188 99 187 57 189
-189 100 188 58 190
-190 101 189 59 191
-191 102 190 60 192
-192 103 191 61 193
-193 104 192 62 194
-194 105 193 63 195
-195 106 194 64 196
-196 107 195 65 197
-197 66 198 108 196
-198 67 199 109 197
-199 110 198 68 200
-200 111 199 69 201
-201 112 200 70 202
-202 113 201 71 203
-203 114 202 72 204
-204 115 203 73 205
-205 116 204 74 206
-206 117 205 75 207
-207 118 206 76 208
-208 77 209 119 207
-209 78 210 120 208
-210 121 209 79 211
-211 122 210 80 212
-212 123 211 81 213
-213 124 212 82 214
-214 125 213 83 215
-215 126 214 84 216
-216 127 215 85 217
-217 128 216 86 218
-218 129 217 87 219
-219 88 220 130 218
-220 1 89 131 219
0