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

On this page are computer-accessible forms for the graph C4[ 21, 1 ] = C_21(1,8).

(I) Following is a form readable by MAGMA:

g:=Graph<21|{ {2, 3}, {20, 21}, {18, 19}, {8, 9}, {4, 5}, {6, 7}, {10, 11}, {12, 13}, {14, 15}, {16, 17}, {1, 2}, {17, 18}, {5, 6}, {9, 10}, {13, 14}, {3, 4}, {19, 20}, {11, 12}, {1, 9}, {7, 15}, {2, 10}, {3, 11}, {4, 12}, {5, 13}, {6, 14}, {2, 15}, {1, 14}, {7, 8}, {3, 16}, {7, 20}, {1, 21}, {4, 17}, {6, 19}, {5, 18}, {8, 16}, {9, 17}, {10, 18}, {11, 19}, {12, 20}, {13, 21}, {8, 21}, {15, 16} }>;

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

a: (2, 14)(3, 6)(4, 19)(5, 11)(7, 16)(9, 21)(10, 13)(12, 18)(17, 20)
b: (2, 9)(3, 17)(5, 12)(6, 20)(8, 15)(11, 18)(14, 21)
c: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 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.

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

&Graph
C4[ 21, 1 ]
21
-1 2 14 9 21
-2 1 3 15 10
-3 11 2 4 16
-4 12 3 5 17
-5 13 4 6 18
-6 14 5 7 19
-7 15 6 8 20
-8 16 7 9 21
-9 1 17 8 10
-10 11 2 18 9
-11 12 3 19 10
-12 11 13 4 20
-13 12 14 5 21
-14 1 13 15 6
-15 2 14 16 7
-16 3 15 17 8
-17 4 16 18 9
-18 5 17 19 10
-19 11 6 18 20
-20 12 7 19 21
-21 1 13 8 20
0

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