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On this page are computer-accessible forms for the graph C4[ 60, 6 ] = PS(4,15;2).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {29, 31} under the group generated by the following permutations:

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

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

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