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On this page are computer-accessible forms for the graph C4[ 60, 13 ] = UG(ATD[60,19]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {46, 47} under the group generated by the following permutations:

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

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