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On this page are computer-accessible forms for the graph C4[ 64, 12 ] = PL(LoPr_8(1,4,2,4,1),[4^8,8^4]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {32, 34} under the group generated by the following permutations:

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

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