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On this page are computer-accessible forms for the graph C4[ 60, 19 ] = SDD(C_15(1,4)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {29, 31} under the group generated by the following permutations:

a: (9, 19)
b: (2, 4)(3, 6)(5, 8)(7, 11)(9, 13)(10, 15)(12, 14)(16, 19)(17, 20)(18, 21)(22, 25)(23, 26)(24, 27)(28, 30)(31, 33)(32, 35)(34, 38)(36, 41)(37, 43)(39, 46)(40, 48)(42, 51)(44, 53)(45, 54)(47, 50)(49, 58)(52, 59)(56, 57)
c: (11, 17)
d: (4, 23)
e: (2, 3)(4, 6)(5, 8)(7, 10)(11, 15)(17, 18)(20, 21)(22, 23)(25, 26)(28, 30)(31, 32)(33, 35)(34, 37)(36, 40)(38, 43)(39, 45)(41, 48)(42, 50)(44, 52)(46, 54)(47, 51)(49, 57)(53, 59)(55, 60)(56, 58)
f: (6, 22)
g: (8, 30)
h: (12, 27)
m: (3, 25)
n1: (15, 18)
a1: (14, 24)
b1: (2, 26)
c1: (1, 2)(3, 5)(4, 7)(6, 9)(8, 12)(10, 14)(11, 13)(16, 17)(19, 22)(20, 23)(21, 24)(25, 28)(26, 29)(27, 30)(32, 34)(33, 36)(35, 39)(37, 42)(38, 44)(40, 47)(41, 49)(43, 45)(46, 55)(48, 56)(51, 52)(53, 57)(54, 58)(59, 60)
d1: (13, 16)
e1: (5, 28)
f1: (10, 21)

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

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