[Home] [Table] [Glossary] [Families]

On this page are computer-accessible forms for the graph C4[ 93, 2 ] = PS(3,31;5).

(I) Following is a form readable by MAGMA:

g:=Graph<93|{ {58, 63}, {37, 63}, {1, 33}, {22, 54}, {21, 53}, {20, 52}, {19, 51}, {18, 50}, {17, 49}, {16, 48}, {15, 47}, {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}, {23, 55}, {24, 56}, {25, 57}, {26, 58}, {27, 59}, {28, 60}, {29, 61}, {30, 62}, {2, 32}, {23, 53}, {22, 52}, {19, 49}, {18, 48}, {15, 45}, {3, 33}, {6, 36}, {7, 37}, {10, 40}, {11, 41}, {14, 44}, {26, 56}, {27, 57}, {30, 60}, {31, 61}, {26, 63}, {4, 34}, {21, 51}, {20, 50}, {5, 35}, {12, 42}, {13, 43}, {28, 58}, {29, 59}, {8, 38}, {9, 39}, {24, 54}, {25, 55}, {7, 63}, {16, 46}, {17, 47}, {1, 62}, {31, 32}, {1, 69}, {19, 87}, {18, 86}, {17, 85}, {16, 84}, {2, 70}, {3, 71}, {8, 76}, {9, 77}, {10, 78}, {11, 79}, {24, 92}, {25, 93}, {8, 64}, {15, 71}, {9, 65}, {10, 66}, {11, 67}, {12, 68}, {13, 69}, {14, 70}, {24, 80}, {25, 81}, {26, 82}, {27, 83}, {28, 84}, {29, 85}, {30, 86}, {31, 87}, {4, 72}, {22, 90}, {21, 89}, {20, 88}, {5, 73}, {6, 74}, {7, 75}, {23, 91}, {16, 72}, {22, 78}, {21, 77}, {20, 76}, {19, 75}, {18, 74}, {17, 73}, {23, 79}, {1, 88}, {3, 90}, {5, 92}, {2, 89}, {6, 93}, {27, 64}, {31, 68}, {12, 80}, {15, 83}, {14, 82}, {13, 81}, {28, 65}, {30, 67}, {4, 91}, {29, 66}, {32, 68}, {57, 93}, {56, 92}, {51, 87}, {50, 86}, {49, 85}, {33, 69}, {34, 70}, {35, 71}, {40, 76}, {41, 77}, {42, 78}, {43, 79}, {48, 84}, {38, 64}, {62, 88}, {55, 81}, {54, 80}, {39, 65}, {46, 72}, {47, 73}, {40, 66}, {61, 87}, {60, 86}, {57, 83}, {56, 82}, {41, 67}, {44, 70}, {45, 71}, {36, 72}, {55, 91}, {54, 90}, {53, 89}, {52, 88}, {37, 73}, {38, 74}, {39, 75}, {42, 68}, {59, 85}, {58, 84}, {43, 69}, {32, 89}, {34, 91}, {36, 93}, {48, 74}, {53, 79}, {52, 78}, {49, 75}, {33, 90}, {59, 64}, {44, 80}, {45, 81}, {46, 82}, {47, 83}, {60, 65}, {62, 67}, {50, 76}, {51, 77}, {35, 92}, {61, 66} }>;

(II) A more general form is to represent the graph as the orbit of {58, 63} under the group generated by the following permutations:

a: (1, 32, 63)(2, 58, 88, 31, 37, 69)(3, 53, 82, 30, 42, 75)(4, 48, 76, 29, 47, 81)(5, 43, 70, 28, 52, 87)(6, 38, 64, 27, 57, 93)(7, 33, 89, 26, 62, 68)(8, 59, 83, 25, 36, 74)(9, 54, 77, 24, 41, 80)(10, 49, 71, 23, 46, 86)(11, 44, 65, 22, 51, 92)(12, 39, 90, 21, 56, 67)(13, 34, 84, 20, 61, 73)(14, 60, 78, 19, 35, 79)(15, 55, 72, 18, 40, 85)(16, 50, 66, 17, 45, 91)
b: (2, 31)(3, 30)(4, 29)(5, 28)(6, 27)(7, 26)(8, 25)(9, 24)(10, 23)(11, 22)(12, 21)(13, 20)(14, 19)(15, 18)(16, 17)(33, 62)(34, 61)(35, 60)(36, 59)(37, 58)(38, 57)(39, 56)(40, 55)(41, 54)(42, 53)(43, 52)(44, 51)(45, 50)(46, 49)(47, 48)(64, 93)(65, 92)(66, 91)(67, 90)(68, 89)(69, 88)(70, 87)(71, 86)(72, 85)(73, 84)(74, 83)(75, 82)(76, 81)(77, 80)(78, 79)
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)

(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
C4[ 93, 2 ]
93
-1 33 88 69 62
-2 34 89 70 32
-3 33 35 90 71
-4 34 36 91 72
-5 35 37 92 73
-6 36 38 93 74
-7 37 39 63 75
-8 38 40 64 76
-9 77 39 41 65
-10 66 78 40 42
-11 67 79 41 43
-12 44 68 80 42
-13 45 69 81 43
-14 44 46 70 82
-15 45 47 71 83
-16 46 48 72 84
-17 47 49 73 85
-18 48 50 74 86
-19 49 51 75 87
-20 88 50 52 76
-21 77 89 51 53
-22 78 90 52 54
-23 55 79 91 53
-24 56 80 92 54
-25 55 57 81 93
-26 56 58 82 63
-27 57 59 83 64
-28 58 60 84 65
-29 66 59 61 85
-30 67 60 62 86
-31 68 61 32 87
-32 89 2 68 31
-33 1 90 3 69
-34 2 91 4 70
-35 3 92 5 71
-36 4 93 6 72
-37 5 7 73 63
-38 6 8 74 64
-39 7 9 75 65
-40 66 8 10 76
-41 11 77 67 9
-42 12 78 68 10
-43 11 13 79 69
-44 12 14 80 70
-45 13 15 81 71
-46 14 16 82 72
-47 15 17 83 73
-48 16 18 84 74
-49 17 19 85 75
-50 18 20 86 76
-51 77 19 21 87
-52 22 88 78 20
-53 23 89 79 21
-54 22 24 90 80
-55 23 25 91 81
-56 24 26 92 82
-57 25 27 93 83
-58 26 28 84 63
-59 27 29 85 64
-60 28 30 86 65
-61 66 29 31 87
-62 88 1 67 30
-63 58 26 37 7
-64 59 27 38 8
-65 60 28 39 9
-66 61 29 40 10
-67 11 62 30 41
-68 12 31 42 32
-69 33 1 13 43
-70 44 34 2 14
-71 45 35 3 15
-72 46 36 4 16
-73 47 37 5 17
-74 48 38 6 18
-75 49 39 7 19
-76 50 40 8 20
-77 51 41 9 21
-78 22 52 42 10
-79 11 23 53 43
-80 44 12 24 54
-81 55 45 13 25
-82 56 46 14 26
-83 57 47 15 27
-84 58 48 16 28
-85 59 49 17 29
-86 60 50 18 30
-87 61 51 19 31
-88 1 62 52 20
-89 2 53 21 32
-90 22 33 3 54
-91 55 23 34 4
-92 56 24 35 5
-93 57 25 36 6
0

**************