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On this page are computer-accessible forms for the graph C4[ 30, 6 ] = Pr_10(1,1,3,3).

(I) Following is a form readable by MAGMA:

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

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

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

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