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On this page are computer-accessible forms for the graph C4[ 14, 2 ] = BC_7(0,1,2,4).

(I) Following is a form readable by MAGMA:

g:=Graph<14|{ {1, 9}, {6, 14}, {2, 10}, {3, 11}, {4, 12}, {5, 13}, {1, 8}, {7, 14}, {2, 11}, {3, 10}, {4, 13}, {5, 12}, {1, 10}, {6, 13}, {5, 14}, {2, 9}, {4, 8}, {7, 11}, {6, 10}, {5, 9}, {1, 12}, {3, 14}, {6, 8}, {7, 9}, {2, 13}, {7, 8}, {4, 11}, {3, 12} }>;

(II) A more general form is to represent the graph as the orbit of {1, 9} under the group generated by the following permutations:

a: (1, 8, 4, 13, 5, 14, 3, 10)(2, 9, 7, 11)(6, 12)
b: (3, 5)(6, 7)(9, 10)(11, 13)
c: (2, 3)(4, 7)(9, 12)(13, 14)
d: (1, 2)(5, 7)(8, 13)(11, 12)
e: (3, 6)(5, 7)(8, 12)(11, 13)

(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[ 14, 2 ]
14
-1 12 8 9 10
-2 11 13 9 10
-3 11 12 14 10
-4 11 12 13 8
-5 12 13 14 9
-6 13 14 8 10
-7 11 14 8 9
-8 1 4 6 7
-9 1 2 5 7
-10 1 2 3 6
-11 2 3 4 7
-12 1 3 4 5
-13 2 4 5 6
-14 3 5 6 7
0

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