Graph forms
for C4 [ 145, 1 ] = C_145(1,12)
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On this page are computer-accessible forms for the graph C4[ 145, 1 ] =
C_145(1,12).
(I) Following is a form readable by MAGMA:
g:=Graph<145|{ {2, 3}, {144, 145}, {142, 143}, {140, 141}, {138, 139}, {136,
137}, {134, 135}, {132, 133}, {130, 131}, {128, 129}, {126, 127}, {124, 125},
{122, 123}, {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}, {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}, {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}, {1, 2}, {141,
142}, {137, 138}, {133, 134}, {129, 130}, {125, 126}, {69, 70}, {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}, {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}, {3, 4}, {139, 140}, {131, 132},
{123, 124}, {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},
{1, 13}, {131, 143}, {130, 142}, {129, 141}, {128, 140}, {67, 79}, {66, 78},
{65, 77}, {64, 76}, {51, 63}, {50, 62}, {49, 61}, {48, 60}, {2, 14}, {3, 15},
{16, 28}, {17, 29}, {18, 30}, {19, 31}, {32, 44}, {33, 45}, {34, 46}, {35, 47},
{80, 92}, {81, 93}, {82, 94}, {83, 95}, {96, 108}, {97, 109}, {98, 110}, {99,
111}, {112, 124}, {113, 125}, {114, 126}, {115, 127}, {7, 8}, {135, 136}, {55,
56}, {23, 24}, {39, 40}, {71, 72}, {87, 88}, {103, 104}, {119, 120}, {4, 16},
{133, 145}, {132, 144}, {69, 81}, {68, 80}, {47, 59}, {46, 58}, {45, 57}, {44,
56}, {5, 17}, {6, 18}, {7, 19}, {12, 24}, {13, 25}, {14, 26}, {15, 27}, {36,
48}, {37, 49}, {38, 50}, {39, 51}, {70, 82}, {71, 83}, {76, 88}, {77, 89}, {78,
90}, {79, 91}, {100, 112}, {101, 113}, {102, 114}, {103, 115}, {108, 120}, {109,
121}, {110, 122}, {111, 123}, {8, 20}, {43, 55}, {42, 54}, {41, 53}, {9, 21},
{10, 22}, {11, 23}, {40, 52}, {72, 84}, {73, 85}, {74, 86}, {75, 87}, {104,
116}, {105, 117}, {106, 118}, {107, 119}, {15, 16}, {143, 144}, {47, 48}, {79,
80}, {111, 112}, {20, 32}, {21, 33}, {22, 34}, {23, 35}, {28, 40}, {29, 41},
{30, 42}, {31, 43}, {84, 96}, {85, 97}, {86, 98}, {87, 99}, {92, 104}, {93,
105}, {94, 106}, {95, 107}, {24, 36}, {25, 37}, {26, 38}, {27, 39}, {88, 100},
{89, 101}, {90, 102}, {91, 103}, {31, 32}, {95, 96}, {52, 64}, {63, 75}, {62,
74}, {61, 73}, {60, 72}, {55, 67}, {54, 66}, {53, 65}, {56, 68}, {59, 71}, {58,
70}, {57, 69}, {63, 64}, {2, 135}, {8, 141}, {10, 143}, {1, 134}, {9, 142}, {3,
136}, {7, 140}, {4, 137}, {6, 139}, {5, 138}, {1, 145}, {11, 144}, {12, 145},
{116, 128}, {127, 139}, {126, 138}, {125, 137}, {124, 136}, {117, 129}, {118,
130}, {119, 131}, {120, 132}, {123, 135}, {122, 134}, {121, 133}, {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, 13, 145, 134)(3, 25, 144, 122)(4, 37, 143, 110)(5, 49, 142, 98)(6, 61,
141, 86)(7, 73, 140, 74)(8, 85, 139, 62)(9, 97, 138, 50)(10, 109, 137, 38)(11,
121, 136, 26)(12, 133, 135, 14)(15, 24, 132, 123)(16, 36, 131, 111)(17, 48, 130,
99)(18, 60, 129, 87)(19, 72, 128, 75)(20, 84, 127, 63)(21, 96, 126, 51)(22, 108,
125, 39)(23, 120, 124, 27)(28, 35, 119, 112)(29, 47, 118, 100)(30, 59, 117,
88)(31, 71, 116, 76)(32, 83, 115, 64)(33, 95, 114, 52)(34, 107, 113, 40)(41, 46,
106, 101)(42, 58, 105, 89)(43, 70, 104, 77)(44, 82, 103, 65)(45, 94, 102,
53)(54, 57, 93, 90)(55, 69, 92, 78)(56, 81, 91, 66)(67, 68, 80, 79) (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)
C4[ 145, 1 ]
145
-1 2 145 13 134
-2 1 3 14 135
-3 2 4 15 136
-4 3 5 16 137
-5 4 6 17 138
-6 5 7 18 139
-7 6 8 19 140
-8 7 9 20 141
-9 8 10 21 142
-10 11 22 143 9
-11 12 23 144 10
-12 11 13 24 145
-13 1 12 14 25
-14 2 13 15 26
-15 3 14 16 27
-16 4 15 17 28
-17 5 16 18 29
-18 6 17 19 30
-19 7 18 20 31
-20 8 19 21 32
-21 22 33 9 20
-22 23 34 10 21
-23 11 22 24 35
-24 12 23 25 36
-25 13 24 26 37
-26 14 25 27 38
-27 15 26 28 39
-28 16 27 29 40
-29 17 28 30 41
-30 18 29 31 42
-31 19 30 32 43
-32 33 44 20 31
-33 34 45 21 32
-34 22 33 35 46
-35 23 34 36 47
-36 24 35 37 48
-37 25 36 38 49
-38 26 37 39 50
-39 27 38 40 51
-40 28 39 41 52
-41 29 40 42 53
-42 30 41 43 54
-43 44 55 31 42
-44 45 56 32 43
-45 33 44 46 57
-46 34 45 47 58
-47 35 46 48 59
-48 36 47 49 60
-49 37 48 50 61
-50 38 49 51 62
-51 39 50 52 63
-52 40 51 53 64
-53 41 52 54 65
-54 55 66 42 53
-55 56 67 43 54
-56 44 55 57 68
-57 45 56 58 69
-58 46 57 59 70
-59 47 58 60 71
-60 48 59 61 72
-61 49 60 62 73
-62 50 61 63 74
-63 51 62 64 75
-64 52 63 65 76
-65 66 77 53 64
-66 67 78 54 65
-67 55 66 68 79
-68 56 67 69 80
-69 57 68 70 81
-70 58 69 71 82
-71 59 70 72 83
-72 60 71 73 84
-73 61 72 74 85
-74 62 73 75 86
-75 63 74 76 87
-76 77 88 64 75
-77 78 89 65 76
-78 66 77 79 90
-79 67 78 80 91
-80 68 79 81 92
-81 69 80 82 93
-82 70 81 83 94
-83 71 82 84 95
-84 72 83 85 96
-85 73 84 86 97
-86 74 85 87 98
-87 88 99 75 86
-88 89 100 76 87
-89 77 88 90 101
-90 78 89 91 102
-91 79 90 92 103
-92 80 91 93 104
-93 81 92 94 105
-94 82 93 95 106
-95 83 94 96 107
-96 84 95 97 108
-97 85 96 98 109
-98 99 110 86 97
-99 100 111 87 98
-100 88 99 101 112
-101 89 100 102 113
-102 90 101 103 114
-103 91 102 104 115
-104 92 103 105 116
-105 93 104 106 117
-106 94 105 107 118
-107 95 106 108 119
-108 96 107 109 120
-109 110 121 97 108
-110 111 122 98 109
-111 99 110 112 123
-112 100 111 113 124
-113 101 112 114 125
-114 102 113 115 126
-115 103 114 116 127
-116 104 115 117 128
-117 105 116 118 129
-118 106 117 119 130
-119 107 118 120 131
-120 121 132 108 119
-121 122 133 109 120
-122 110 121 123 134
-123 111 122 124 135
-124 112 123 125 136
-125 113 124 126 137
-126 114 125 127 138
-127 115 126 128 139
-128 116 127 129 140
-129 117 128 130 141
-130 118 129 131 142
-131 132 143 119 130
-132 133 144 120 131
-133 121 132 134 145
-134 1 122 133 135
-135 2 123 134 136
-136 3 124 135 137
-137 4 125 136 138
-138 5 126 137 139
-139 6 127 138 140
-140 7 128 139 141
-141 8 129 140 142
-142 143 9 130 141
-143 144 10 131 142
-144 11 132 143 145
-145 1 144 12 133
0