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On this page are computer-accessible forms for the graph C4[ 42, 5 ] = L(F28).

(I) Following is a form readable by MAGMA:

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

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

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