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On this page are computer-accessible forms for the graph C4[ 64, 2 ] = {4,4}_8,0.

(I) Following is a form readable by MAGMA:

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

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&Graph
C4[ 64, 2 ]
64
-1 2 57 8 9
-2 1 3 58 10
-3 11 2 4 59
-4 12 3 5 60
-5 13 4 6 61
-6 14 5 7 62
-7 15 6 8 63
-8 1 16 7 64
-9 1 16 17 10
-10 11 2 18 9
-11 12 3 19 10
-12 11 13 4 20
-13 12 14 5 21
-14 22 13 15 6
-15 23 14 16 7
-16 24 15 8 9
-17 24 25 18 9
-18 26 17 19 10
-19 11 27 18 20
-20 12 28 19 21
-21 22 13 29 20
-22 23 14 30 21
-23 22 24 15 31
-24 23 16 17 32
-25 33 26 17 32
-26 34 25 27 18
-27 35 26 28 19
-28 36 27 29 20
-29 37 28 30 21
-30 22 38 29 31
-31 23 39 30 32
-32 24 25 40 31
-33 34 25 40 41
-34 33 35 26 42
-35 34 36 27 43
-36 44 35 37 28
-37 45 36 38 29
-38 46 37 39 30
-39 47 38 40 31
-40 33 48 39 32
-41 33 48 49 42
-42 34 50 41 43
-43 44 35 51 42
-44 45 36 52 43
-45 44 46 37 53
-46 45 47 38 54
-47 55 46 48 39
-48 56 47 40 41
-49 56 57 50 41
-50 58 49 51 42
-51 59 50 52 43
-52 44 60 51 53
-53 45 61 52 54
-54 55 46 62 53
-55 56 47 63 54
-56 55 48 49 64
-57 1 58 49 64
-58 2 57 59 50
-59 3 58 60 51
-60 4 59 61 52
-61 5 60 62 53
-62 6 61 63 54
-63 55 7 62 64
-64 56 57 8 63
0

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