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

On this page are computer-accessible forms for the graph C4[ 64, 10 ] = PL(MSY(4,8,3,4)).

(I) Following is a form readable by MAGMA:

g:=Graph<64|{ {32, 52}, {32, 53}, {32, 60}, {32, 61}, {1, 33}, {14, 46}, {11, 43}, {10, 42}, {6, 38}, {5, 37}, {2, 34}, {15, 47}, {10, 43}, {11, 42}, {14, 47}, {15, 46}, {17, 48}, {1, 34}, {27, 56}, {23, 52}, {6, 37}, {5, 38}, {2, 33}, {20, 55}, {19, 55}, {29, 57}, {28, 56}, {25, 61}, {23, 51}, {8, 45}, {28, 57}, {25, 60}, {8, 46}, {16, 54}, {16, 55}, {10, 34}, {24, 48}, {23, 63}, {14, 38}, {19, 59}, {10, 35}, {22, 63}, {14, 39}, {18, 59}, {9, 35}, {31, 53}, {27, 49}, {26, 48}, {13, 39}, {9, 34}, {31, 52}, {27, 48}, {24, 51}, {13, 38}, {19, 56}, {1, 45}, {24, 52}, {5, 41}, {20, 56}, {4, 41}, {28, 49}, {4, 42}, {16, 62}, {18, 60}, {1, 46}, {5, 42}, {16, 63}, {19, 60}, {4, 53}, {25, 40}, {22, 39}, {18, 35}, {4, 54}, {31, 45}, {30, 44}, {27, 41}, {26, 40}, {17, 35}, {21, 39}, {26, 41}, {31, 44}, {30, 45}, {3, 54}, {7, 50}, {17, 36}, {3, 53}, {13, 59}, {12, 58}, {9, 63}, {7, 49}, {18, 36}, {9, 62}, {24, 47}, {13, 58}, {12, 59}, {2, 58}, {29, 37}, {25, 33}, {11, 51}, {6, 62}, {15, 55}, {20, 44}, {3, 58}, {29, 36}, {21, 44}, {11, 50}, {8, 49}, {7, 62}, {15, 54}, {3, 57}, {30, 36}, {8, 50}, {7, 61}, {2, 57}, {30, 37}, {26, 33}, {6, 61}, {21, 40}, {12, 50}, {22, 40}, {21, 43}, {17, 47}, {12, 51}, {20, 43}, {22, 64}, {23, 64}, {28, 64}, {29, 64} }>;

(II) A more general form is to represent the graph as the orbit of {32, 52} under the group generated by the following permutations:

a: (1, 33, 25, 60, 19, 55, 15, 46)(2, 40, 32, 59, 20, 54, 14, 45)(3, 39, 31, 58, 21, 53, 13, 44)(4, 38, 30, 57, 22, 52, 12, 43)(5, 37, 29, 64, 23, 51, 11, 42)(6, 36, 28, 63, 24, 50, 10, 41)(7, 35, 27, 62, 17, 49, 9, 48)(8, 34, 26, 61, 18, 56, 16, 47)
b: (1, 2, 3, 4, 5, 6, 7, 8)(9, 12, 15, 10, 13, 16, 11, 14)(17, 18, 19, 20, 21, 22, 23, 24)(25, 28, 31, 26, 29, 32, 27, 30)(33, 57, 53, 41, 37, 61, 49, 45)(34, 58, 54, 42, 38, 62, 50, 46)(35, 59, 55, 43, 39, 63, 51, 47)(36, 60, 56, 44, 40, 64, 52, 48)
c: (1, 9, 23, 31)(2, 16, 24, 30)(3, 15, 17, 29)(4, 14, 18, 28)(5, 13, 19, 27)(6, 12, 20, 26)(7, 11, 21, 25)(8, 10, 22, 32)(33, 62, 51, 44)(34, 63, 52, 45)(35, 64, 53, 46)(36, 57, 54, 47)(37, 58, 55, 48)(38, 59, 56, 41)(39, 60, 49, 42)(40, 61, 50, 43)
d: (2, 8)(3, 7)(4, 6)(9, 15)(10, 14)(11, 13)(18, 24)(19, 23)(20, 22)(25, 31)(26, 30)(27, 29)(33, 45)(34, 46)(35, 47)(36, 48)(37, 41)(38, 42)(39, 43)(40, 44)(49, 57)(50, 58)(51, 59)(52, 60)(53, 61)(54, 62)(55, 63)(56, 64)
e: (9, 25)(10, 26)(11, 27)(12, 28)(13, 29)(14, 30)(15, 31)(16, 32)(17, 21)(18, 22)(19, 23)(20, 24)(33, 34)(35, 40)(36, 39)(37, 38)(41, 42)(43, 48)(44, 47)(45, 46)(49, 50)(51, 56)(52, 55)(53, 54)(57, 58)(59, 64)(60, 63)(61, 62)

(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[ 64, 10 ]
64
-1 33 34 45 46
-2 33 34 57 58
-3 57 58 53 54
-4 41 42 53 54
-5 37 38 41 42
-6 37 38 61 62
-7 49 50 61 62
-8 45 46 49 50
-9 34 35 62 63
-10 34 35 42 43
-11 50 51 42 43
-12 58 59 50 51
-13 58 59 38 39
-14 46 47 38 39
-15 55 46 47 54
-16 55 62 63 54
-17 35 36 47 48
-18 35 36 59 60
-19 55 56 59 60
-20 44 55 56 43
-21 44 39 40 43
-22 39 40 63 64
-23 51 52 63 64
-24 47 48 51 52
-25 33 60 61 40
-26 33 48 40 41
-27 56 48 49 41
-28 56 57 49 64
-29 57 36 37 64
-30 44 45 36 37
-31 44 45 52 53
-32 60 61 52 53
-33 1 2 25 26
-34 1 2 9 10
-35 17 18 9 10
-36 17 18 29 30
-37 5 6 29 30
-38 13 14 5 6
-39 22 13 14 21
-40 22 25 26 21
-41 4 26 5 27
-42 11 4 5 10
-43 11 20 10 21
-44 30 20 31 21
-45 1 8 30 31
-46 1 14 15 8
-47 24 14 15 17
-48 24 26 27 17
-49 27 28 7 8
-50 11 12 7 8
-51 11 12 23 24
-52 23 24 31 32
-53 3 4 31 32
-54 3 4 15 16
-55 15 16 19 20
-56 27 28 19 20
-57 2 3 28 29
-58 12 2 13 3
-59 12 13 18 19
-60 25 18 19 32
-61 25 6 7 32
-62 16 6 7 9
-63 22 23 16 9
-64 22 23 28 29
0

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