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