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On this page are computer-accessible forms for the graph C4[ 60, 15 ] = UG(ATD[60,22]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {20, 22} under the group generated by the following permutations:

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

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