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On this page are computer-accessible forms for the graph C4[ 60, 2 ] = C_60(1,11).

(I) Following is a form readable by MAGMA:

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

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

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

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