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On this page are computer-accessible forms for the graph C4[ 40, 11 ] = SDD(W(5,2)).

(I) Following is a form readable by MAGMA:

g:=Graph<40|{ {18, 27}, {20, 29}, {16, 26}, {20, 30}, {16, 27}, {17, 26}, {18, 28}, {19, 29}, {17, 30}, {19, 28}, {6, 22}, {8, 24}, {12, 28}, {4, 21}, {7, 22}, {5, 23}, {11, 25}, {9, 27}, {15, 29}, {5, 22}, {11, 24}, {13, 30}, {1, 21}, {12, 24}, {14, 26}, {13, 24}, {3, 21}, {15, 25}, {1, 22}, {10, 29}, {2, 21}, {14, 25}, {3, 27}, {4, 30}, {2, 25}, {7, 28}, {4, 31}, {3, 31}, {6, 26}, {2, 31}, {10, 23}, {1, 31}, {9, 23}, {8, 23}, {1, 32}, {7, 38}, {2, 35}, {6, 36}, {5, 33}, {5, 32}, {13, 40}, {3, 37}, {6, 32}, {7, 32}, {9, 33}, {11, 35}, {15, 39}, {8, 33}, {11, 34}, {8, 34}, {12, 38}, {14, 36}, {10, 33}, {4, 40}, {9, 37}, {15, 35}, {10, 39}, {14, 35}, {12, 34}, {13, 34}, {20, 39}, {16, 36}, {19, 39}, {18, 38}, {16, 37}, {19, 38}, {17, 36}, {18, 37}, {17, 40}, {20, 40} }>;

(II) A more general form is to represent the graph as the orbit of {18, 27} under the group generated by the following permutations:

a: (2, 4)(11, 13)(14, 17)(15, 20)(25, 30)(35, 40)
b: (26, 36)
c: (30, 40)
d: (2, 5)(3, 6)(4, 7)(8, 11)(9, 14)(10, 15)(12, 13)(17, 18)(19, 20)(21, 22)(23, 25)(26, 27)(28, 30)(31, 32)(33, 35)(36, 37)(38, 40)
e: (8, 10)(11, 15)(12, 19)(13, 20)(24, 29)(34, 39)
f: (27, 37)
g: (21, 31)
h: (29, 39)
m: (22, 32)
n1: (1, 2, 11, 8, 5)(3, 14, 13, 10, 7)(4, 15, 12, 9, 6)(16, 17, 20, 19, 18)(21, 25, 24, 23, 22)(26, 30, 29, 28, 27)(31, 35, 34, 33, 32)(36, 40, 39, 38, 37)
a1: (28, 38)

(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[ 40, 11 ]
40
-1 22 31 21 32
-2 35 25 31 21
-3 37 27 31 21
-4 40 30 31 21
-5 22 33 23 32
-6 22 36 26 32
-7 22 38 28 32
-8 33 23 34 24
-9 33 23 37 27
-10 33 23 39 29
-11 34 24 35 25
-12 34 24 38 28
-13 34 24 40 30
-14 35 25 36 26
-15 35 25 39 29
-16 36 26 37 27
-17 36 26 40 30
-18 37 27 38 28
-19 38 28 39 29
-20 39 29 40 30
-21 1 2 3 4
-22 1 5 6 7
-23 5 8 9 10
-24 11 12 13 8
-25 11 2 14 15
-26 14 16 6 17
-27 3 16 18 9
-28 12 7 18 19
-29 15 19 20 10
-30 13 4 17 20
-31 1 2 3 4
-32 1 5 6 7
-33 5 8 9 10
-34 11 12 13 8
-35 11 2 14 15
-36 14 16 6 17
-37 3 16 18 9
-38 12 7 18 19
-39 15 19 20 10
-40 13 4 17 20
0

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