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On this page are computer-accessible forms for the graph C4[ 30, 8 ] = TAG(F10).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {10, 11} under the group generated by the following permutations:

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

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