Graph forms
for C4 [ 165, 2 ] = C_165(1,56)
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On this page are computer-accessible forms for the graph C4[ 165, 2 ] =
C_165(1,56).
(I) Following is a form readable by MAGMA:
g:=Graph<165|{ {2, 3}, {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}, {130,
131}, {128, 129}, {126, 127}, {124, 125}, {122, 123}, {120, 121}, {118, 119},
{116, 117}, {114, 115}, {112, 113}, {110, 111}, {108, 109}, {106, 107}, {104,
105}, {52, 53}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {42, 43}, {40, 41}, {38,
39}, {36, 37}, {34, 35}, {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}, {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}, {1, 2}, {161, 162}, {157, 158}, {153, 154}, {149, 150},
{145, 146}, {141, 142}, {137, 138}, {133, 134}, {129, 130}, {125, 126}, {121,
122}, {117, 118}, {113, 114}, {109, 110}, {105, 106}, {53, 54}, {49, 50}, {45,
46}, {41, 42}, {37, 38}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25,
26}, {29, 30}, {33, 34}, {57, 58}, {61, 62}, {65, 66}, {69, 70}, {73, 74}, {77,
78}, {81, 82}, {85, 86}, {89, 90}, {93, 94}, {97, 98}, {101, 102}, {3, 4}, {163,
164}, {155, 156}, {147, 148}, {139, 140}, {131, 132}, {123, 124}, {115, 116},
{107, 108}, {51, 52}, {43, 44}, {35, 36}, {11, 12}, {19, 20}, {27, 28}, {59,
60}, {67, 68}, {75, 76}, {83, 84}, {91, 92}, {99, 100}, {7, 8}, {151, 152},
{135, 136}, {119, 120}, {39, 40}, {23, 24}, {55, 56}, {71, 72}, {87, 88}, {103,
104}, {15, 16}, {143, 144}, {111, 112}, {47, 48}, {79, 80}, {1, 57}, {2, 58},
{3, 59}, {4, 60}, {5, 61}, {6, 62}, {7, 63}, {64, 120}, {65, 121}, {66, 122},
{67, 123}, {68, 124}, {69, 125}, {70, 126}, {71, 127}, {31, 32}, {159, 160},
{95, 96}, {8, 64}, {47, 103}, {46, 102}, {45, 101}, {44, 100}, {43, 99}, {42,
98}, {41, 97}, {40, 96}, {9, 65}, {10, 66}, {11, 67}, {12, 68}, {13, 69}, {14,
70}, {15, 71}, {24, 80}, {25, 81}, {26, 82}, {27, 83}, {28, 84}, {29, 85}, {30,
86}, {31, 87}, {56, 112}, {57, 113}, {58, 114}, {59, 115}, {60, 116}, {61, 117},
{62, 118}, {63, 119}, {16, 72}, {53, 109}, {52, 108}, {51, 107}, {50, 106}, {49,
105}, {48, 104}, {17, 73}, {18, 74}, {19, 75}, {20, 76}, {21, 77}, {22, 78},
{23, 79}, {54, 110}, {55, 111}, {2, 111}, {16, 125}, {18, 127}, {1, 110}, {17,
126}, {3, 112}, {7, 116}, {11, 120}, {15, 124}, {4, 113}, {6, 115}, {12, 121},
{14, 123}, {5, 114}, {13, 122}, {32, 88}, {39, 95}, {38, 94}, {37, 93}, {36,
92}, {35, 91}, {34, 90}, {33, 89}, {8, 117}, {10, 119}, {9, 118}, {63, 64}, {19,
128}, {51, 160}, {23, 132}, {27, 136}, {31, 140}, {55, 164}, {20, 129}, {52,
161}, {22, 131}, {28, 137}, {30, 139}, {54, 163}, {21, 130}, {53, 162}, {29,
138}, {24, 133}, {26, 135}, {56, 165}, {25, 134}, {1, 165}, {32, 141}, {50,
159}, {48, 157}, {34, 143}, {33, 142}, {49, 158}, {35, 144}, {47, 156}, {43,
152}, {39, 148}, {36, 145}, {46, 155}, {44, 153}, {38, 147}, {37, 146}, {45,
154}, {40, 149}, {42, 151}, {41, 150}, {72, 128}, {109, 165}, {108, 164}, {107,
163}, {106, 162}, {105, 161}, {104, 160}, {73, 129}, {74, 130}, {75, 131}, {76,
132}, {77, 133}, {78, 134}, {79, 135}, {88, 144}, {89, 145}, {90, 146}, {91,
147}, {92, 148}, {93, 149}, {94, 150}, {95, 151}, {80, 136}, {81, 137}, {82,
138}, {83, 139}, {84, 140}, {85, 141}, {86, 142}, {87, 143}, {96, 152}, {97,
153}, {98, 154}, {99, 155}, {100, 156}, {101, 157}, {102, 158}, {103, 159},
{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, 57)(3, 113)(5, 60)(6, 116)(8, 63)(9, 119)(11, 66)(12, 122)(14, 69)(15,
125)(17, 72)(18, 128)(20, 75)(21, 131)(23, 78)(24, 134)(26, 81)(27, 137)(29,
84)(30, 140)(32, 87)(33, 143)(35, 90)(36, 146)(38, 93)(39, 149)(41, 96)(42,
152)(44, 99)(45, 155)(47, 102)(48, 158)(50, 105)(51, 161)(53, 108)(54, 164)(56,
111)(59, 114)(62, 117)(65, 120)(68, 123)(71, 126)(74, 129)(77, 132)(80, 135)(83,
138)(86, 141)(89, 144)(92, 147)(95, 150)(98, 153)(101, 156)(104, 159)(107,
162)(110, 165) (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)
c: (2, 110)(3, 54)(4, 163)(5, 107)(6, 51)(7, 160)(8, 104)(9, 48)(10, 157)(11,
101)(12, 45)(13, 154)(14, 98)(15, 42)(16, 151)(17, 95)(18, 39)(19, 148)(20,
92)(21, 36)(22, 145)(23, 89)(24, 33)(25, 142)(26, 86)(27, 30)(28, 139)(29,
83)(31, 136)(32, 80)(34, 133)(35, 77)(37, 130)(38, 74)(40, 127)(41, 71)(43,
124)(44, 68)(46, 121)(47, 65)(49, 118)(50, 62)(52, 115)(53, 59)(55, 112)(57,
165)(58, 109)(60, 162)(61, 106)(63, 159)(64, 103)(66, 156)(67, 100)(69, 153)(70,
97)(72, 150)(73, 94)(75, 147)(76, 91)(78, 144)(79, 88)(81, 141)(82, 85)(84,
138)(87, 135)(90, 132)(93, 129)(96, 126)(99, 123)(102, 120)(105, 117)(108,
114)(113, 164)(116, 161)(119, 158)(122, 155)(125, 152)(128, 149)(131, 146)(134,
143)(137, 140)
C4[ 165, 2 ]
165
-1 110 165 2 57
-2 1 111 3 58
-3 2 112 4 59
-4 3 113 5 60
-5 4 114 6 61
-6 5 115 7 62
-7 6 116 8 63
-8 7 117 9 64
-9 8 118 10 65
-10 11 66 9 119
-11 12 67 10 120
-12 11 121 13 68
-13 12 122 14 69
-14 13 123 15 70
-15 14 124 16 71
-16 15 125 17 72
-17 16 126 18 73
-18 17 127 19 74
-19 18 128 20 75
-20 19 129 21 76
-21 22 77 20 130
-22 23 78 21 131
-23 22 132 24 79
-24 23 133 25 80
-25 24 134 26 81
-26 25 135 27 82
-27 26 136 28 83
-28 27 137 29 84
-29 28 138 30 85
-30 29 139 31 86
-31 30 140 32 87
-32 33 88 31 141
-33 34 89 32 142
-34 33 143 35 90
-35 34 144 36 91
-36 35 145 37 92
-37 36 146 38 93
-38 37 147 39 94
-39 38 148 40 95
-40 39 149 41 96
-41 40 150 42 97
-42 41 151 43 98
-43 44 99 42 152
-44 45 100 43 153
-45 44 154 46 101
-46 45 155 47 102
-47 46 156 48 103
-48 47 157 49 104
-49 48 158 50 105
-50 49 159 51 106
-51 50 160 52 107
-52 51 161 53 108
-53 52 162 54 109
-54 55 110 53 163
-55 56 111 54 164
-56 55 165 57 112
-57 1 56 58 113
-58 2 57 59 114
-59 3 58 60 115
-60 4 59 61 116
-61 5 60 62 117
-62 6 61 63 118
-63 7 62 64 119
-64 8 63 65 120
-65 66 121 9 64
-66 67 122 10 65
-67 11 66 68 123
-68 12 67 69 124
-69 13 68 70 125
-70 14 69 71 126
-71 15 70 72 127
-72 16 71 73 128
-73 17 72 74 129
-74 18 73 75 130
-75 19 74 76 131
-76 77 132 20 75
-77 78 133 21 76
-78 22 77 79 134
-79 23 78 80 135
-80 24 79 81 136
-81 25 80 82 137
-82 26 81 83 138
-83 27 82 84 139
-84 28 83 85 140
-85 29 84 86 141
-86 30 85 87 142
-87 88 143 31 86
-88 89 144 32 87
-89 33 88 90 145
-90 34 89 91 146
-91 35 90 92 147
-92 36 91 93 148
-93 37 92 94 149
-94 38 93 95 150
-95 39 94 96 151
-96 40 95 97 152
-97 41 96 98 153
-98 99 154 42 97
-99 100 155 43 98
-100 44 99 101 156
-101 45 100 102 157
-102 46 101 103 158
-103 47 102 104 159
-104 48 103 105 160
-105 49 104 106 161
-106 50 105 107 162
-107 51 106 108 163
-108 52 107 109 164
-109 110 165 53 108
-110 1 111 54 109
-111 55 110 2 112
-112 56 111 3 113
-113 57 112 4 114
-114 58 113 5 115
-115 59 114 6 116
-116 60 115 7 117
-117 61 116 8 118
-118 62 117 9 119
-119 63 118 10 120
-120 11 121 64 119
-121 12 122 65 120
-122 66 121 13 123
-123 67 122 14 124
-124 68 123 15 125
-125 69 124 16 126
-126 70 125 17 127
-127 71 126 18 128
-128 72 127 19 129
-129 73 128 20 130
-130 74 129 21 131
-131 22 132 75 130
-132 23 133 76 131
-133 77 132 24 134
-134 78 133 25 135
-135 79 134 26 136
-136 80 135 27 137
-137 81 136 28 138
-138 82 137 29 139
-139 83 138 30 140
-140 84 139 31 141
-141 85 140 32 142
-142 33 143 86 141
-143 34 144 87 142
-144 88 143 35 145
-145 89 144 36 146
-146 90 145 37 147
-147 91 146 38 148
-148 92 147 39 149
-149 93 148 40 150
-150 94 149 41 151
-151 95 150 42 152
-152 96 151 43 153
-153 44 154 97 152
-154 45 155 98 153
-155 99 154 46 156
-156 100 155 47 157
-157 101 156 48 158
-158 102 157 49 159
-159 103 158 50 160
-160 104 159 51 161
-161 105 160 52 162
-162 106 161 53 163
-163 107 162 54 164
-164 55 165 108 163
-165 1 56 109 164
0