C4graphGraph forms for C4 [ 64, 14 ] = PL(Curtain_8(1,4,2,3,6),[4^8,16^2])

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On this page are computer-accessible forms for the graph C4[ 64, 14 ] = PL(Curtain_8(1,4,2,3,6),[4^8,16^2]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {32, 33} under the group generated by the following permutations:

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

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

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