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On this page are computer-accessible forms for the graph C4[ 60, 21 ] = BGCG(Pr_10(2,3,1,4);K1;{2,3}).

(I) Following is a form readable by MAGMA:

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

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

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

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

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