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