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On this page are computer-accessible forms for the graph C4[ 30, 7 ] = Pr_10(2,3,1,4).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {20, 21} under the group generated by the following permutations:

a: (1, 2)(3, 10)(4, 9)(5, 8)(6, 7)(11, 19)(12, 18)(13, 17)(14, 16)(21, 30)(22, 29)(23, 28)(24, 27)(25, 26)
b: (2, 10)(3, 9)(4, 8)(5, 7)(11, 18)(12, 17)(13, 16)(14, 15)(19, 20)(21, 29)(22, 28)(23, 27)(24, 26)
c: (2, 14)(3, 18)(5, 29)(7, 19)(8, 13)(10, 24)(12, 25)(15, 23)(17, 30)(20, 28)(21, 22)(26, 27)

(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[ 30, 7 ]
30
-1 11 3 18 9
-2 12 4 19 10
-3 1 13 5 20
-4 11 2 14 6
-5 12 3 15 7
-6 13 4 16 8
-7 14 5 17 9
-8 15 6 18 10
-9 1 16 7 19
-10 2 17 8 20
-11 22 1 4 21
-12 22 23 2 5
-13 23 24 3 6
-14 24 25 4 7
-15 25 26 5 8
-16 26 27 6 9
-17 27 28 7 10
-18 1 28 29 8
-19 2 29 30 9
-20 3 30 10 21
-21 11 25 27 20
-22 11 12 26 28
-23 12 13 27 29
-24 13 14 28 30
-25 14 15 29 21
-26 22 15 16 30
-27 23 16 17 21
-28 22 24 17 18
-29 23 25 18 19
-30 24 26 19 20
0

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