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On this page are computer-accessible forms for the graph C4[ 60, 16 ] = HC(F10).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {4, 5} under the group generated by the following permutations:

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

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

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