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On this page are computer-accessible forms for the graph C4[ 60, 20 ] = SDD(Pr_5(1,1,2,2)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {30, 31} under the group generated by the following permutations:

a: (11, 23)
b: (7, 28)
c: (9, 13)
d: (15, 19)
e: (4, 5)(6, 7)(8, 10)(9, 14)(11, 12)(13, 27)(15, 16)(17, 23)(18, 28)(19, 20)(21, 24)(22, 25)(33, 35)(36, 38)(39, 42)(40, 48)(43, 44)(45, 54)(47, 52)(49, 50)(51, 60)(53, 58)(55, 56)(57, 59)
f: (12, 17)
g: (2, 3)(4, 5)(6, 8)(7, 10)(9, 12)(11, 14)(13, 17)(18, 21)(22, 25)(23, 27)(24, 28)(26, 29)(31, 32)(33, 35)(36, 39)(38, 42)(40, 44)(41, 46)(43, 48)(45, 51)(47, 52)(49, 55)(50, 56)(53, 59)(54, 60)(57, 58)
h: (5, 25)
m: (14, 27)
n1: (3, 29)
a1: (2, 26)
b1: (2, 4)(3, 5)(6, 9)(7, 11)(8, 12)(10, 14)(13, 18)(17, 21)(22, 26)(23, 28)(24, 27)(25, 29)(31, 33)(32, 35)(34, 37)(36, 40)(38, 43)(39, 44)(41, 47)(42, 48)(46, 52)(49, 53)(50, 57)(54, 60)(55, 59)(56, 58)
c1: (8, 21)
d1: (4, 22)
e1: (10, 24)
f1: (16, 20)
g1: (1, 2)(4, 6)(5, 7)(8, 10)(11, 15)(12, 16)(17, 20)(18, 22)(19, 23)(21, 24)(25, 28)(26, 30)(32, 34)(33, 36)(35, 38)(37, 41)(39, 42)(40, 45)(43, 49)(44, 50)(47, 53)(48, 54)(51, 56)(52, 58)(55, 60)(57, 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, 20 ]
60
-1 33 35 31 32
-2 34 36 38 31
-3 34 39 42 32
-4 33 37 40 43
-5 44 35 37 48
-6 45 36 49 41
-7 38 50 41 54
-8 55 46 39 51
-9 45 47 40 53
-10 56 46 60 42
-11 57 47 60 43
-12 44 59 51 52
-13 45 47 40 53
-14 58 48 52 54
-15 55 59 49 53
-16 56 57 58 50
-17 44 59 51 52
-18 45 36 49 41
-19 55 59 49 53
-20 56 57 58 50
-21 55 46 39 51
-22 33 37 40 43
-23 57 47 60 43
-24 56 46 60 42
-25 44 35 37 48
-26 34 36 38 31
-27 58 48 52 54
-28 38 50 41 54
-29 34 39 42 32
-30 33 35 31 32
-31 1 2 26 30
-32 1 3 29 30
-33 22 1 4 30
-34 2 3 26 29
-35 1 25 5 30
-36 2 26 6 18
-37 22 25 4 5
-38 2 26 28 7
-39 3 29 8 21
-40 22 13 4 9
-41 6 28 7 18
-42 24 3 29 10
-43 11 22 23 4
-44 12 25 5 17
-45 13 6 18 9
-46 24 8 10 21
-47 11 23 13 9
-48 14 25 5 27
-49 15 6 18 19
-50 16 28 7 20
-51 12 17 8 21
-52 12 14 27 17
-53 13 15 19 9
-54 14 27 28 7
-55 15 8 19 21
-56 24 16 20 10
-57 11 23 16 20
-58 14 16 27 20
-59 12 15 17 19
-60 11 23 24 10
0

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