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On this page are computer-accessible forms for the graph C4[ 64, 11 ] = MSY(4,16,5,4).

(I) Following is a form readable by MAGMA:

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

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

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

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