4.1.3. Example for GAP usage with n ¼ 5

```
mjv@Panda �/GAP $cat G5
P00 := (32,1)(2,3)(4,5)(6,7)(8,9)(10,11)(12,13)(14,15)
(18,19)(22,23)(26,27)(30,31);
P01 := (32,2)(4,6)(5,7)(8,10)(12,14)(13,15)(16,18)
(20,22)(21,23)(24,26)(28,30)(29,31);
P02 := (32,4)(1,5)(8,12)(9,13)(10,14)(11,15)(16,20)
(17,21)(24,28)(25,29)(26,30)(27,31);
P03 := (32,8)(1,9)(2,10)(3,11)(16,24)
(17,25)(18,26)(19,27)(20,28)(21,29)(22,30)(23,31);
P04 := (32,16)(1,17)(2,18)(3,19)(4,20)(5,21)(6,22)
(7,23)(9,25)(11,27)(13,29)(15,31);
G05 := Group(P00,P01,P02,P03,P04);
mjv@Panda �/GAP $gap -b
gap> Read("G5");
gap> IsNaturalAlternatingGroup(G05);
true
gap> Size(G05);
131565418466846765083609006080000000
```
gap> quit;

Here, 1:315… � <sup>10</sup><sup>35</sup> <sup>¼</sup> <sup>32</sup>!=2.
