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On this page are computer-accessible forms for the graph C4[ 40, 2 ] = C_40(1,9).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

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

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