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On this page are computer-accessible forms for the graph C4[ 129, 2 ] = PS(3,43;6).

(I) Following is a form readable by MAGMA:

g:=Graph<129|{ {81, 87}, {43, 44}, {82, 88}, {86, 92}, {83, 89}, {84, 90}, {85, 91}, {64, 101}, {82, 119}, {80, 117}, {74, 111}, {66, 103}, {72, 109}, {65, 102}, {81, 118}, {73, 110}, {4, 46}, {5, 47}, {16, 58}, {17, 59}, {20, 62}, {21, 63}, {67, 104}, {83, 120}, {71, 108}, {1, 45}, {2, 46}, {3, 47}, {16, 60}, {17, 61}, {18, 62}, {19, 63}, {68, 105}, {86, 123}, {84, 121}, {70, 107}, {2, 44}, {3, 45}, {18, 60}, {19, 61}, {69, 106}, {85, 122}, {64, 113}, {78, 127}, {76, 125}, {74, 123}, {66, 115}, {68, 117}, {70, 119}, {72, 121}, {65, 114}, {77, 126}, {73, 122}, {69, 118}, {4, 48}, {5, 49}, {6, 50}, {7, 51}, {12, 56}, {13, 57}, {14, 58}, {15, 59}, {6, 48}, {7, 49}, {14, 56}, {15, 57}, {67, 116}, {75, 124}, {8, 50}, {9, 51}, {12, 54}, {13, 55}, {75, 112}, {79, 116}, {8, 52}, {9, 53}, {10, 54}, {11, 55}, {76, 113}, {78, 115}, {10, 52}, {11, 53}, {71, 120}, {77, 114}, {16, 95}, {32, 111}, {47, 96}, {63, 112}, {44, 124}, {45, 125}, {46, 126}, {47, 127}, {9, 88}, {33, 112}, {11, 90}, {13, 92}, {15, 94}, {35, 114}, {37, 116}, {39, 118}, {41, 120}, {43, 122}, {48, 97}, {50, 99}, {52, 101}, {54, 103}, {56, 105}, {58, 107}, {60, 109}, {62, 111}, {10, 89}, {14, 93}, {34, 113}, {38, 117}, {42, 121}, {49, 98}, {53, 102}, {57, 106}, {61, 110}, {20, 64}, {31, 75}, {30, 74}, {29, 73}, {28, 72}, {23, 67}, {22, 66}, {21, 65}, {22, 64}, {31, 73}, {30, 72}, {23, 65}, {1, 86}, {12, 91}, {36, 115}, {51, 100}, {59, 108}, {24, 66}, {29, 71}, {28, 70}, {25, 67}, {59, 96}, {63, 100}, {24, 68}, {27, 71}, {26, 70}, {25, 69}, {2, 95}, {32, 125}, {34, 127}, {60, 97}, {62, 99}, {26, 68}, {27, 69}, {1, 94}, {33, 126}, {8, 87}, {40, 119}, {55, 104}, {61, 98}, {3, 96}, {31, 124}, {27, 120}, {23, 116}, {7, 100}, {11, 104}, {15, 108}, {19, 112}, {4, 97}, {30, 123}, {28, 121}, {22, 115}, {6, 99}, {12, 105}, {14, 107}, {20, 113}, {50, 87}, {56, 93}, {58, 95}, {5, 98}, {29, 122}, {21, 114}, {13, 106}, {57, 94}, {32, 74}, {33, 75}, {36, 78}, {37, 79}, {51, 88}, {55, 92}, {32, 76}, {33, 77}, {34, 78}, {35, 79}, {8, 101}, {26, 119}, {24, 117}, {10, 103}, {52, 89}, {54, 91}, {34, 76}, {35, 77}, {9, 102}, {25, 118}, {53, 90}, {17, 96}, {31, 110}, {29, 108}, {27, 106}, {25, 104}, {23, 102}, {19, 98}, {21, 100}, {44, 93}, {46, 95}, {37, 87}, {40, 90}, {41, 91}, {18, 97}, {30, 109}, {26, 105}, {22, 101}, {45, 94}, {36, 80}, {37, 81}, {38, 82}, {39, 83}, {38, 80}, {39, 81}, {42, 92}, {43, 93}, {20, 99}, {28, 107}, {1, 123}, {4, 126}, {5, 127}, {40, 82}, {41, 83}, {40, 84}, {41, 85}, {42, 86}, {16, 109}, {18, 111}, {2, 124}, {3, 125}, {38, 88}, {39, 89}, {42, 84}, {43, 85}, {17, 110}, {24, 103}, {6, 128}, {7, 129}, {35, 128}, {36, 129}, {48, 128}, {49, 129}, {79, 128}, {80, 129} }>;

(II) A more general form is to represent the graph as the orbit of {81, 87} under the group generated by the following permutations:

a: (2, 43)(3, 42)(4, 41)(5, 40)(6, 39)(7, 38)(8, 37)(9, 36)(10, 35)(11, 34)(12, 33)(13, 32)(14, 31)(15, 30)(16, 29)(17, 28)(18, 27)(19, 26)(20, 25)(21, 24)(22, 23)(45, 86)(46, 85)(47, 84)(48, 83)(49, 82)(50, 81)(51, 80)(52, 79)(53, 78)(54, 77)(55, 76)(56, 75)(57, 74)(58, 73)(59, 72)(60, 71)(61, 70)(62, 69)(63, 68)(64, 67)(65, 66)(88, 129)(89, 128)(90, 127)(91, 126)(92, 125)(93, 124)(94, 123)(95, 122)(96, 121)(97, 120)(98, 119)(99, 118)(100, 117)(101, 116)(102, 115)(103, 114)(104, 113)(105, 112)(106, 111)(107, 110)(108, 109)
b: (1, 44, 87)(2, 81, 123, 43, 50, 94)(3, 75, 116, 42, 56, 101)(4, 69, 109, 41, 62, 108)(5, 63, 102, 40, 68, 115)(6, 57, 95, 39, 74, 122)(7, 51, 88, 38, 80, 129)(8, 45, 124, 37, 86, 93)(9, 82, 117, 36, 49, 100)(10, 76, 110, 35, 55, 107)(11, 70, 103, 34, 61, 114)(12, 64, 96, 33, 67, 121)(13, 58, 89, 32, 73, 128)(14, 52, 125, 31, 79, 92)(15, 46, 118, 30, 85, 99)(16, 83, 111, 29, 48, 106)(17, 77, 104, 28, 54, 113)(18, 71, 97, 27, 60, 120)(19, 65, 90, 26, 66, 127)(20, 59, 126, 25, 72, 91)(21, 53, 119, 24, 78, 98)(22, 47, 112, 23, 84, 105)
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)

(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.

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&Graph
C4[ 129, 2 ]
129
-1 45 123 94 86
-2 44 46 124 95
-3 45 47 125 96
-4 46 48 126 97
-5 47 49 127 98
-6 99 48 50 128
-7 100 49 51 129
-8 101 50 52 87
-9 88 102 51 53
-10 89 103 52 54
-11 55 90 104 53
-12 56 91 105 54
-13 55 57 92 106
-14 56 58 93 107
-15 57 59 94 108
-16 58 60 95 109
-17 110 59 61 96
-18 111 60 62 97
-19 112 61 63 98
-20 99 113 62 64
-21 100 114 63 65
-22 66 101 115 64
-23 67 102 116 65
-24 66 68 103 117
-25 67 69 104 118
-26 68 70 105 119
-27 69 71 106 120
-28 121 70 72 107
-29 122 71 73 108
-30 123 72 74 109
-31 110 124 73 75
-32 111 125 74 76
-33 77 112 126 75
-34 78 113 127 76
-35 77 79 114 128
-36 78 80 115 129
-37 79 81 116 87
-38 88 80 82 117
-39 89 81 83 118
-40 90 82 84 119
-41 91 83 85 120
-42 121 92 84 86
-43 44 122 93 85
-44 2 124 93 43
-45 1 3 125 94
-46 2 4 126 95
-47 3 5 127 96
-48 4 6 128 97
-49 5 7 129 98
-50 99 6 8 87
-51 88 100 7 9
-52 89 101 8 10
-53 11 90 102 9
-54 12 91 103 10
-55 11 13 92 104
-56 12 14 93 105
-57 13 15 94 106
-58 14 16 95 107
-59 15 17 96 108
-60 16 18 97 109
-61 110 17 19 98
-62 99 111 18 20
-63 100 112 19 21
-64 22 101 113 20
-65 23 102 114 21
-66 22 24 103 115
-67 23 25 104 116
-68 24 26 105 117
-69 25 27 106 118
-70 26 28 107 119
-71 27 29 108 120
-72 121 28 30 109
-73 110 122 29 31
-74 111 123 30 32
-75 33 112 124 31
-76 34 113 125 32
-77 33 35 114 126
-78 34 36 115 127
-79 35 37 116 128
-80 36 38 117 129
-81 37 39 118 87
-82 88 38 40 119
-83 89 39 41 120
-84 121 90 40 42
-85 122 91 41 43
-86 1 123 92 42
-87 37 81 50 8
-88 38 82 51 9
-89 39 83 52 10
-90 11 40 84 53
-91 12 41 85 54
-92 55 13 42 86
-93 44 56 14 43
-94 1 45 57 15
-95 2 46 58 16
-96 3 47 59 17
-97 4 48 60 18
-98 5 49 61 19
-99 6 50 62 20
-100 7 51 63 21
-101 22 8 52 64
-102 23 9 53 65
-103 66 24 10 54
-104 11 55 67 25
-105 12 56 68 26
-106 13 57 69 27
-107 14 58 70 28
-108 15 59 71 29
-109 16 60 72 30
-110 17 61 73 31
-111 18 62 74 32
-112 33 19 63 75
-113 34 20 64 76
-114 77 35 21 65
-115 22 66 78 36
-116 23 67 79 37
-117 24 68 80 38
-118 25 69 81 39
-119 26 70 82 40
-120 27 71 83 41
-121 28 72 84 42
-122 29 73 85 43
-123 1 30 74 86
-124 44 2 31 75
-125 45 3 32 76
-126 33 77 46 4
-127 34 78 47 5
-128 35 79 48 6
-129 36 80 49 7
0

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