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On this page are computer-accessible forms for the graph C4[ 30, 8 ] = PL(L(Petersen)[3^10]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {1, 5} under the group generated by the following permutations:

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

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

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