Graph forms
for C4 [ 205, 3 ] = C_205(1,81)
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On this page are computer-accessible forms for the graph C4[ 205, 3 ] =
C_205(1,81).
(I) Following is a form readable by MAGMA:
g:=Graph<205|{ {2, 3}, {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}, {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}, {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}, {1, 2}, {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}, {65,
66}, {61, 62}, {57, 58}, {53, 54}, {49, 50}, {45, 46}, {41, 42}, {5, 6}, {9,
10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {69,
70}, {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}, {137, 138}, {3, 4}, {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},
{175, 176}, {143, 144}, {47, 48}, {79, 80}, {111, 112}, {31, 32}, {159, 160},
{95, 96}, {2, 83}, {46, 127}, {44, 125}, {42, 123}, {40, 121}, {4, 85}, {6, 87},
{8, 89}, {10, 91}, {12, 93}, {14, 95}, {32, 113}, {34, 115}, {36, 117}, {38,
119}, {1, 82}, {45, 126}, {41, 122}, {5, 86}, {9, 90}, {13, 94}, {33, 114}, {37,
118}, {3, 84}, {43, 124}, {11, 92}, {35, 116}, {7, 88}, {39, 120}, {15, 96},
{31, 112}, {16, 97}, {18, 99}, {20, 101}, {22, 103}, {24, 105}, {26, 107}, {28,
109}, {30, 111}, {17, 98}, {21, 102}, {25, 106}, {29, 110}, {19, 100}, {27,
108}, {1, 125}, {2, 126}, {3, 127}, {23, 104}, {191, 192}, {63, 64}, {4, 128},
{68, 192}, {63, 187}, {62, 186}, {61, 185}, {60, 184}, {55, 179}, {54, 178},
{53, 177}, {52, 176}, {47, 171}, {46, 170}, {45, 169}, {44, 168}, {5, 129}, {6,
130}, {7, 131}, {12, 136}, {13, 137}, {14, 138}, {15, 139}, {20, 144}, {21,
145}, {22, 146}, {23, 147}, {28, 152}, {29, 153}, {30, 154}, {31, 155}, {36,
160}, {37, 161}, {38, 162}, {39, 163}, {69, 193}, {70, 194}, {71, 195}, {76,
200}, {77, 201}, {78, 202}, {79, 203}, {8, 132}, {59, 183}, {58, 182}, {57,
181}, {56, 180}, {43, 167}, {42, 166}, {41, 165}, {40, 164}, {9, 133}, {10,
134}, {11, 135}, {24, 148}, {25, 149}, {26, 150}, {27, 151}, {72, 196}, {73,
197}, {74, 198}, {75, 199}, {16, 140}, {51, 175}, {50, 174}, {49, 173}, {48,
172}, {17, 141}, {18, 142}, {19, 143}, {80, 204}, {81, 205}, {47, 128}, {63,
144}, {111, 192}, {48, 129}, {62, 143}, {60, 141}, {58, 139}, {56, 137}, {54,
135}, {52, 133}, {50, 131}, {112, 193}, {114, 195}, {116, 197}, {118, 199},
{120, 201}, {122, 203}, {124, 205}, {49, 130}, {61, 142}, {57, 138}, {53, 134},
{113, 194}, {117, 198}, {121, 202}, {51, 132}, {59, 140}, {115, 196}, {123,
204}, {32, 156}, {33, 157}, {34, 158}, {35, 159}, {55, 136}, {119, 200}, {1,
205}, {64, 145}, {68, 149}, {66, 147}, {70, 151}, {72, 153}, {74, 155}, {76,
157}, {78, 159}, {96, 177}, {98, 179}, {100, 181}, {102, 183}, {104, 185}, {106,
187}, {108, 189}, {110, 191}, {65, 146}, {69, 150}, {73, 154}, {77, 158}, {97,
178}, {101, 182}, {105, 186}, {109, 190}, {67, 148}, {75, 156}, {99, 180}, {107,
188}, {71, 152}, {103, 184}, {79, 160}, {95, 176}, {80, 161}, {82, 163}, {84,
165}, {86, 167}, {88, 169}, {90, 171}, {92, 173}, {94, 175}, {81, 162}, {85,
166}, {89, 170}, {93, 174}, {83, 164}, {91, 172}, {64, 188}, {67, 191}, {66,
190}, {65, 189}, {87, 168}, {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, 125)(3, 44)(4, 168)(5, 87)(7, 130)(8, 49)(9, 173)(10, 92)(12, 135)(13,
54)(14, 178)(15, 97)(17, 140)(18, 59)(19, 183)(20, 102)(22, 145)(23, 64)(24,
188)(25, 107)(27, 150)(28, 69)(29, 193)(30, 112)(32, 155)(33, 74)(34, 198)(35,
117)(37, 160)(38, 79)(39, 203)(40, 122)(42, 165)(43, 84)(45, 127)(47, 170)(48,
89)(50, 132)(52, 175)(53, 94)(55, 137)(57, 180)(58, 99)(60, 142)(62, 185)(63,
104)(65, 147)(67, 190)(68, 109)(70, 152)(72, 195)(73, 114)(75, 157)(77, 200)(78,
119)(80, 162)(82, 205)(83, 124)(85, 167)(88, 129)(90, 172)(93, 134)(95, 177)(98,
139)(100, 182)(103, 144)(105, 187)(108, 149)(110, 192)(113, 154)(115, 197)(118,
159)(120, 202)(123, 164)(128, 169)(133, 174)(138, 179)(143, 184)(148, 189)(153,
194)(158, 199)(163, 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, 82)(3, 163)(4, 39)(5, 120)(6, 201)(7, 77)(8, 158)(9, 34)(10, 115)(11,
196)(12, 72)(13, 153)(14, 29)(15, 110)(16, 191)(17, 67)(18, 148)(19, 24)(20,
105)(21, 186)(22, 62)(23, 143)(25, 100)(26, 181)(27, 57)(28, 138)(30, 95)(31,
176)(32, 52)(33, 133)(35, 90)(36, 171)(37, 47)(38, 128)(40, 85)(41, 166)(43,
123)(44, 204)(45, 80)(46, 161)(48, 118)(49, 199)(50, 75)(51, 156)(53, 113)(54,
194)(55, 70)(56, 151)(58, 108)(59, 189)(60, 65)(61, 146)(63, 103)(64, 184)(66,
141)(68, 98)(69, 179)(71, 136)(73, 93)(74, 174)(76, 131)(78, 88)(79, 169)(81,
126)(84, 164)(86, 121)(87, 202)(89, 159)(91, 116)(92, 197)(94, 154)(96, 111)(97,
192)(99, 149)(101, 106)(102, 187)(104, 144)(107, 182)(109, 139)(112, 177)(114,
134)(117, 172)(119, 129)(122, 167)(125, 205)(127, 162)(130, 200)(132, 157)(135,
195)(137, 152)(140, 190)(142, 147)(145, 185)(150, 180)(155, 175)(160, 170)(168,
203)(173, 198)(178, 193)(183, 188)
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)
C4[ 205, 3 ]
205
-1 2 125 82 205
-2 1 3 126 83
-3 2 4 127 84
-4 3 5 128 85
-5 4 6 129 86
-6 5 7 130 87
-7 88 6 8 131
-8 132 89 7 9
-9 133 90 8 10
-10 11 134 91 9
-11 12 135 92 10
-12 11 13 136 93
-13 12 14 137 94
-14 13 15 138 95
-15 14 16 139 96
-16 15 17 140 97
-17 16 18 141 98
-18 99 17 19 142
-19 143 100 18 20
-20 144 101 19 21
-21 22 145 102 20
-22 23 146 103 21
-23 22 24 147 104
-24 23 25 148 105
-25 24 26 149 106
-26 25 27 150 107
-27 26 28 151 108
-28 27 29 152 109
-29 110 28 30 153
-30 154 111 29 31
-31 155 112 30 32
-32 33 156 113 31
-33 34 157 114 32
-34 33 35 158 115
-35 34 36 159 116
-36 35 37 160 117
-37 36 38 161 118
-38 37 39 162 119
-39 38 40 163 120
-40 121 39 41 164
-41 165 122 40 42
-42 166 123 41 43
-43 44 167 124 42
-44 45 168 125 43
-45 44 46 169 126
-46 45 47 170 127
-47 46 48 171 128
-48 47 49 172 129
-49 48 50 173 130
-50 49 51 174 131
-51 132 50 52 175
-52 176 133 51 53
-53 177 134 52 54
-54 55 178 135 53
-55 56 179 136 54
-56 55 57 180 137
-57 56 58 181 138
-58 57 59 182 139
-59 58 60 183 140
-60 59 61 184 141
-61 60 62 185 142
-62 143 61 63 186
-63 187 144 62 64
-64 188 145 63 65
-65 66 189 146 64
-66 67 190 147 65
-67 66 68 191 148
-68 67 69 192 149
-69 68 70 193 150
-70 69 71 194 151
-71 70 72 195 152
-72 71 73 196 153
-73 154 72 74 197
-74 198 155 73 75
-75 199 156 74 76
-76 77 200 157 75
-77 78 201 158 76
-78 77 79 202 159
-79 78 80 203 160
-80 79 81 204 161
-81 80 82 205 162
-82 1 81 83 163
-83 2 82 84 164
-84 165 3 83 85
-85 166 4 84 86
-86 167 5 85 87
-87 88 168 6 86
-88 89 169 7 87
-89 88 90 170 8
-90 89 91 171 9
-91 90 92 172 10
-92 11 91 93 173
-93 12 92 94 174
-94 13 93 95 175
-95 176 14 94 96
-96 177 15 95 97
-97 178 16 96 98
-98 99 179 17 97
-99 100 180 18 98
-100 99 101 181 19
-101 100 102 182 20
-102 101 103 183 21
-103 22 102 104 184
-104 23 103 105 185
-105 24 104 106 186
-106 187 25 105 107
-107 188 26 106 108
-108 189 27 107 109
-109 110 190 28 108
-110 111 191 29 109
-111 110 112 192 30
-112 111 113 193 31
-113 112 114 194 32
-114 33 113 115 195
-115 34 114 116 196
-116 35 115 117 197
-117 198 36 116 118
-118 199 37 117 119
-119 200 38 118 120
-120 121 201 39 119
-121 122 202 40 120
-122 121 123 203 41
-123 122 124 204 42
-124 123 125 205 43
-125 44 1 124 126
-126 45 2 125 127
-127 46 3 126 128
-128 47 4 127 129
-129 48 5 128 130
-130 49 6 129 131
-131 132 50 7 130
-132 133 51 8 131
-133 132 134 52 9
-134 133 135 53 10
-135 11 134 136 54
-136 55 12 135 137
-137 56 13 136 138
-138 57 14 137 139
-139 58 15 138 140
-140 59 16 139 141
-141 60 17 140 142
-142 143 61 18 141
-143 144 62 19 142
-144 143 145 63 20
-145 144 146 64 21
-146 22 145 147 65
-147 66 23 146 148
-148 67 24 147 149
-149 68 25 148 150
-150 69 26 149 151
-151 70 27 150 152
-152 71 28 151 153
-153 154 72 29 152
-154 155 73 30 153
-155 154 156 74 31
-156 155 157 75 32
-157 33 156 158 76
-158 77 34 157 159
-159 78 35 158 160
-160 79 36 159 161
-161 80 37 160 162
-162 81 38 161 163
-163 82 39 162 164
-164 165 83 40 163
-165 166 84 41 164
-166 165 167 85 42
-167 166 168 86 43
-168 44 167 169 87
-169 88 45 168 170
-170 89 46 169 171
-171 90 47 170 172
-172 91 48 171 173
-173 92 49 172 174
-174 93 50 173 175
-175 176 94 51 174
-176 177 95 52 175
-177 176 178 96 53
-178 177 179 97 54
-179 55 178 180 98
-180 99 56 179 181
-181 100 57 180 182
-182 101 58 181 183
-183 102 59 182 184
-184 103 60 183 185
-185 104 61 184 186
-186 187 105 62 185
-187 188 106 63 186
-188 187 189 107 64
-189 188 190 108 65
-190 66 189 191 109
-191 110 67 190 192
-192 111 68 191 193
-193 112 69 192 194
-194 113 70 193 195
-195 114 71 194 196
-196 115 72 195 197
-197 198 116 73 196
-198 199 117 74 197
-199 198 200 118 75
-200 199 201 119 76
-201 77 200 202 120
-202 121 78 201 203
-203 122 79 202 204
-204 123 80 203 205
-205 1 124 81 204
0