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On this page are computer-accessible forms for the graph C4[ 64, 9 ] = PL(MSY(4,8,3,0)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {32, 57} under the group generated by the following permutations:

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

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

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