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On this page are computer-accessible forms for the graph C4[ 60, 10 ] = UG(ATD[60,15]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {1, 3} under the group generated by the following permutations:

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

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

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