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On this page are computer-accessible forms for the graph C4[ 39, 2 ] = PS(3,13;3).

(I) Following is a form readable by MAGMA:

g:=Graph<39|{ {13, 14}, {24, 27}, {25, 28}, {26, 29}, {17, 27}, {21, 31}, {20, 30}, {2, 14}, {3, 15}, {1, 15}, {19, 29}, {18, 28}, {14, 30}, {15, 31}, {10, 27}, {12, 29}, {2, 16}, {7, 21}, {6, 20}, {3, 17}, {10, 24}, {11, 25}, {13, 30}, {4, 16}, {7, 19}, {6, 18}, {5, 17}, {12, 24}, {13, 25}, {4, 18}, {8, 30}, {5, 19}, {9, 31}, {12, 26}, {11, 28}, {6, 28}, {7, 29}, {1, 26}, {8, 20}, {9, 21}, {10, 22}, {11, 23}, {1, 31}, {8, 22}, {5, 27}, {9, 23}, {2, 32}, {7, 37}, {6, 36}, {3, 33}, {4, 39}, {1, 36}, {3, 38}, {4, 34}, {5, 35}, {2, 37}, {15, 38}, {10, 32}, {11, 33}, {14, 37}, {8, 38}, {13, 35}, {9, 39}, {12, 34}, {16, 32}, {23, 39}, {22, 38}, {21, 37}, {20, 36}, {19, 35}, {18, 34}, {17, 33}, {22, 32}, {23, 33}, {16, 39}, {24, 34}, {25, 35}, {26, 36} }>;

(II) A more general form is to represent the graph as the orbit of {13, 14} under the group generated by the following permutations:

a: (2, 13)(3, 12)(4, 11)(5, 10)(6, 9)(7, 8)(15, 26)(16, 25)(17, 24)(18, 23)(19, 22)(20, 21)(28, 39)(29, 38)(30, 37)(31, 36)(32, 35)(33, 34)
b: (1, 14, 27)(2, 17, 36)(3, 20, 32)(4, 23, 28)(5, 26, 37)(6, 16, 33)(7, 19, 29)(8, 22, 38)(9, 25, 34)(10, 15, 30)(11, 18, 39)(12, 21, 35)(13, 24, 31)
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)

(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[ 39, 2 ]
39
-1 36 15 26 31
-2 14 37 16 32
-3 33 15 38 17
-4 34 16 39 18
-5 35 27 17 19
-6 36 28 18 20
-7 37 29 19 21
-8 22 38 30 20
-9 23 39 31 21
-10 22 24 27 32
-11 33 23 25 28
-12 34 24 26 29
-13 35 14 25 30
-14 2 13 37 30
-15 1 3 38 31
-16 2 4 39 32
-17 33 3 5 27
-18 34 4 6 28
-19 35 5 7 29
-20 36 6 8 30
-21 37 7 9 31
-22 38 8 10 32
-23 11 33 39 9
-24 12 34 27 10
-25 11 13 35 28
-26 1 12 36 29
-27 24 5 17 10
-28 11 25 6 18
-29 12 26 7 19
-30 13 14 8 20
-31 1 15 9 21
-32 22 2 16 10
-33 11 23 3 17
-34 12 24 4 18
-35 13 25 5 19
-36 1 26 6 20
-37 2 14 7 21
-38 22 3 15 8
-39 23 4 16 9
0

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