4.1.2. Example for GAP usage with n ¼ 4

We replaced 0 by 2<sup>n</sup> , since GAP only uses numbers from N. P00 to P03 are the permutations generated by the elementary steps s ¼ 0001; 0010; 0100, and 1000, respectively.

```
mjv@Panda �/GAP $gap -b
gap> P00 := (16,1)(2,3)(4,5)(6,7)(10,11)(14,15);
(1,16)(2,3)(4,5)(6,7)(10,11)(14,15)
gap> P01 := (16,2)(4,6)(5,7)(8,10)(12,14)(13,15);
(2,16)(4,6)(5,7)(8,10)(12,14)(13,15)
gap> P02 := (16,4)(1,5)(8,12)(9,13)(10,14)(11,15);
(1,5)(4,16)(8,12)(9,13)(10,14)(11,15)
gap> P03 := (16,8)(1,9)(2,10)(3,11)(5,13)(7,15);
(1,9)(2,10)(3,11)(5,13)(7,15)(8,16)
gap> G04 := Group(P00,P01,P02,P03);;
gap> IsNaturalAlternatingGroup(G04);
true
gap> Size(G04);
10461394944000
```