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On this page are computer-accessible forms for the graph C4[ 60, 16 ] = PL(L(B(Petersen))[3^20]).

(I) Following is a form readable by MAGMA:

g:=Graph<60|{ {12, 13}, {12, 14}, {45, 47}, {44, 46}, {33, 35}, {20, 22}, {21, 22}, {45, 46}, {44, 47}, {33, 34}, {1, 5}, {48, 52}, {3, 7}, {24, 28}, {1, 4}, {48, 53}, {11, 14}, {2, 7}, {24, 29}, {2, 4}, {11, 13}, {2, 5}, {48, 55}, {3, 11}, {48, 56}, {35, 43}, {3, 10}, {36, 45}, {1, 11}, {23, 29}, {2, 8}, {1, 10}, {23, 28}, {3, 8}, {20, 24}, {22, 26}, {21, 24}, {23, 26}, {23, 25}, {39, 41}, {38, 40}, {35, 45}, {22, 25}, {39, 40}, {38, 41}, {36, 43}, {41, 57}, {42, 58}, {34, 51}, {40, 58}, {34, 49}, {42, 57}, {40, 60}, {36, 49}, {42, 60}, {46, 56}, {36, 51}, {6, 31}, {46, 55}, {13, 20}, {5, 31}, {47, 53}, {15, 20}, {47, 52}, {15, 19}, {42, 55}, {13, 19}, {41, 55}, {15, 17}, {14, 16}, {14, 17}, {15, 16}, {19, 51}, {19, 50}, {30, 58}, {5, 32}, {30, 59}, {6, 32}, {21, 51}, {28, 58}, {21, 50}, {28, 59}, {29, 53}, {30, 54}, {29, 54}, {30, 53}, {12, 60}, {17, 33}, {27, 43}, {7, 54}, {17, 32}, {10, 59}, {18, 32}, {25, 43}, {7, 52}, {18, 33}, {16, 37}, {18, 39}, {25, 44}, {10, 60}, {12, 59}, {18, 37}, {16, 39}, {27, 44}, {9, 49}, {8, 49}, {8, 50}, {9, 50}, {4, 56}, {26, 38}, {31, 35}, {4, 57}, {9, 52}, {27, 38}, {31, 34}, {6, 56}, {27, 37}, {6, 57}, {9, 54}, {26, 37} }>;

(II) A more general form is to represent the graph as the orbit of {12, 13} under the group generated by the following permutations:

(2, 3)(4, 10)(5, 11)(6, 12)(13, 31)(14, 32)(15, 33)(16, 18)(19, 34)(20, 35)(21, 36)(22, 43)(23, 44)(24, 45)(26, 27)(28, 46)(29, 47)(30, 48)(40, 41)(49, 50)(52, 54)(55, 58)(56, 59)(57, 60)
(1, 2, 3)(4, 7, 10)(5, 8, 11)(6, 9, 12)(13, 32, 49)(14, 31, 50)(15, 33, 51)(16, 35, 21)(17, 34, 19)(18, 36, 20)(22, 37, 43)(23, 38, 44)(24, 39, 45)(25, 26, 27)(28, 41, 47)(29, 40, 46)(30, 42, 48)(52, 59, 57)(53, 58, 55)(54, 60, 56)
(4, 5)(7, 8)(10, 11)(13, 59)(14, 60)(15, 58)(16, 40)(17, 42)(18, 41)(19, 30)(20, 28)(21, 29)(22, 23)(31, 56)(32, 57)(33, 55)(34, 48)(35, 46)(36, 47)(37, 38)(43, 44)(49, 52)(50, 54)(51, 53)
(1, 4, 56, 46, 44, 25, 22, 20, 13, 11)(2, 6, 55, 47, 43, 26, 24, 19, 14, 10)(3, 5, 57, 48, 45, 27, 23, 21, 15, 12)(7, 31, 41, 53, 36, 37, 28, 50, 17, 60)(8, 32, 42, 52, 35, 38, 29, 51, 16, 59)(9, 33, 40, 54, 34, 39, 30, 49, 18, 58)

(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[ 60, 16 ]
60
-1 11 4 5 10
-2 4 5 7 8
-3 11 7 8 10
-4 1 56 2 57
-5 1 2 31 32
-6 56 57 31 32
-7 2 3 52 54
-8 2 3 49 50
-9 49 50 52 54
-10 1 3 59 60
-11 1 13 3 14
-12 13 14 59 60
-13 11 12 19 20
-14 11 12 16 17
-15 16 17 19 20
-16 14 15 37 39
-17 33 14 15 32
-18 33 37 39 32
-19 13 15 50 51
-20 22 13 24 15
-21 22 24 50 51
-22 25 26 20 21
-23 25 26 28 29
-24 28 29 20 21
-25 22 44 23 43
-26 22 23 37 38
-27 44 37 38 43
-28 23 24 58 59
-29 23 24 53 54
-30 58 59 53 54
-31 34 35 5 6
-32 5 6 17 18
-33 34 35 17 18
-34 33 49 51 31
-35 33 45 31 43
-36 45 49 51 43
-37 26 16 27 18
-38 26 27 40 41
-39 16 18 40 41
-40 58 38 60 39
-41 55 57 38 39
-42 55 57 58 60
-43 35 25 36 27
-44 46 25 47 27
-45 35 46 36 47
-46 44 55 45 56
-47 44 45 52 53
-48 55 56 52 53
-49 34 36 8 9
-50 8 19 9 21
-51 34 36 19 21
-52 47 48 7 9
-53 47 48 29 30
-54 7 29 30 9
-55 46 48 41 42
-56 46 4 48 6
-57 4 6 41 42
-58 28 40 30 42
-59 12 28 30 10
-60 12 40 42 10
0

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