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On this page are computer-accessible forms for the graph C4[ 60, 12 ] = UG(ATD[60,17]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {18, 19} under the group generated by the following permutations:

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

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