[Home] [Table] [Glossary] [Families]

On this page are computer-accessible forms for the graph C4[ 56, 6 ] = SDD(W(7,2)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {10, 31} under the group generated by the following permutations:

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

(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.

**************

&Graph
C4[ 56, 6 ]
56
-1 44 29 30 43
-2 35 49 29 43
-3 37 29 51 43
-4 56 29 42 43
-5 44 45 30 31
-6 44 36 50 30
-7 44 38 30 52
-8 45 46 31 32
-9 45 37 51 31
-10 45 39 31 53
-11 33 46 47 32
-12 46 38 52 32
-13 46 40 32 54
-14 33 34 47 48
-15 33 47 39 53
-16 33 55 47 41
-17 34 35 48 49
-18 34 48 40 54
-19 34 56 48 42
-20 35 36 49 50
-21 55 35 49 41
-22 36 37 50 51
-23 56 36 50 42
-24 37 38 51 52
-25 38 39 52 53
-26 39 40 53 54
-27 55 40 41 54
-28 55 56 41 42
-29 1 2 3 4
-30 1 5 6 7
-31 5 8 9 10
-32 11 12 13 8
-33 11 14 15 16
-34 14 17 18 19
-35 2 17 20 21
-36 22 23 6 20
-37 22 24 3 9
-38 12 24 25 7
-39 25 15 26 10
-40 13 26 27 18
-41 16 27 28 21
-42 23 4 28 19
-43 1 2 3 4
-44 1 5 6 7
-45 5 8 9 10
-46 11 12 13 8
-47 11 14 15 16
-48 14 17 18 19
-49 2 17 20 21
-50 22 23 6 20
-51 22 24 3 9
-52 12 24 25 7
-53 25 15 26 10
-54 13 26 27 18
-55 16 27 28 21
-56 23 4 28 19
0

**************