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On this page are computer-accessible forms for the graph C4[ 60, 14 ] = UG(ATD[60,20]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {6, 7} under the group generated by the following permutations:

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

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