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On this page are computer-accessible forms for the graph C4[ 64, 3 ] = {4,4}_[8,4].

(I) Following is a form readable by MAGMA:

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

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

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