Now we repeat the same
process of eliminating all duplications. For example,
All centro-antisymmetrical
KLs derived from 3-component link (2,2) (2,2) (or 843)
inherit 2-antirotation, hence they are all achiral. For example, for n
£
12 we have the achiral knots:
and all of them are non-invertible (Fig. 2.19). Also, there are 3-component achiral links derived from (2,2) (2,2): (4,2) (4,2) and (3 1,2) (3 1,2). Hence, (2,2) (2,2) generates an infinite series of achiral KLs of the form (p,q) (p,q) ( p,q ³ 2) composed from two identical terms (p,q). From the source KLs without pluses we directly obtain the corresponding KLs with pluses. For example, from the source link without pluses (2,2) (2,2) we obtain source links with pluses: (2,2+) (2,2) for n = 9, (2,2++) (2,2), (2,2+) (2,2+) for n = 10, (2,2++) (2,2+) for n = 11, (2,2++) (2,2++) for n = 12, etc. After that, by replacing every ++ by 3,4,... pluses and using symmetry, we obtain all rational-stellar KLs with pluses. Some of them are achiral. Their list for n £12 is the following: (2,2+) (2,2+), (3,2+) (3,2+), (2 1,2+) (2 1,2+), (2,2++) (2,2++)
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