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On this page are computer-accessible forms for the graph C4[ 60, 9 ] = PL(Br(6,5;2)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {27, 31} under the group generated by the following permutations:

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

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

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