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On this page are computer-accessible forms for the graph C4[ 60, 18 ] = B(BW_10[ 2, 1, 2 ]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {20, 31} under the group generated by the following permutations:

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

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