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On this page are computer-accessible forms for the graph C4[ 42, 2 ] = C_42(1,13).

(I) Following is a form readable by MAGMA:

g:=Graph<42|{ {2, 3}, {40, 41}, {38, 39}, {36, 37}, {34, 35}, {16, 17}, {14, 15}, {12, 13}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {18, 19}, {20, 21}, {22, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 33}, {1, 2}, {41, 42}, {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, 15}, {16, 29}, {18, 31}, {1, 14}, {39, 40}, {7, 8}, {17, 30}, {23, 24}, {3, 16}, {15, 28}, {7, 20}, {11, 24}, {4, 17}, {14, 27}, {12, 25}, {6, 19}, {5, 18}, {13, 26}, {2, 31}, {8, 21}, {10, 23}, {1, 30}, {15, 16}, {9, 22}, {3, 32}, {11, 40}, {7, 36}, {4, 33}, {12, 41}, {6, 35}, {5, 34}, {13, 42}, {1, 42}, {8, 37}, {10, 39}, {9, 38}, {19, 32}, {23, 36}, {27, 40}, {20, 33}, {22, 35}, {28, 41}, {21, 34}, {29, 42}, {24, 37}, {26, 39}, {25, 38}, {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, 41, 42)
b: (2, 14)(3, 27)(4, 40)(5, 11)(6, 24)(7, 37)(9, 21)(10, 34)(12, 18)(13, 31)(16, 28)(17, 41)(19, 25)(20, 38)(23, 35)(26, 32)(30, 42)(33, 39)
c: (2, 30)(3, 17)(5, 33)(6, 20)(8, 36)(9, 23)(11, 39)(12, 26)(14, 42)(15, 29)(18, 32)(21, 35)(24, 38)(27, 41)

(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[ 42, 2 ]
42
-1 2 14 30 42
-2 1 3 15 31
-3 2 4 16 32
-4 33 3 5 17
-5 34 4 6 18
-6 35 5 7 19
-7 36 6 8 20
-8 37 7 9 21
-9 22 38 8 10
-10 11 23 39 9
-11 12 24 40 10
-12 11 13 25 41
-13 12 14 26 42
-14 1 13 15 27
-15 2 14 16 28
-16 3 15 17 29
-17 4 16 18 30
-18 5 17 19 31
-19 6 18 20 32
-20 33 7 19 21
-21 22 34 8 20
-22 23 35 9 21
-23 22 24 36 10
-24 11 23 25 37
-25 12 24 26 38
-26 13 25 27 39
-27 14 26 28 40
-28 15 27 29 41
-29 16 28 30 42
-30 1 17 29 31
-31 2 18 30 32
-32 33 3 19 31
-33 34 4 20 32
-34 33 35 5 21
-35 22 34 36 6
-36 23 35 37 7
-37 24 36 38 8
-38 25 37 39 9
-39 26 38 40 10
-40 11 27 39 41
-41 12 28 40 42
-42 1 13 29 41
0

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