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On this page are computer-accessible forms for the graph C4[ 40, 9 ] = PL(MC3(4,5,1,4,2,0,1),[4^5,10^2]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {20, 23} under the group generated by the following permutations:

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

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

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