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On this page are computer-accessible forms for the graph C4[ 40, 3 ] = C_40(1,11).

(I) Following is a form readable by MAGMA:

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

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