Amphicheiral knots with n = 12 crossings are derived by M.Hasseman [47]. After the correction for the knot 10. 2^{6} and identification of 7 duplications [48], their complete list that consists of 54 knots, given by Conway symbols showing their (anti)symmetry, is the following: 
01.
6^{2}

16 = 13

31.
12K

46.
8^{*}20.20.20.20

Amphicheiral knot H_{59}=H_{60} and two of its vertexantisymmetrical 3Dpresentations, based on the antiinversion. 
Even in the case when the polynomial d(t) and Liang polynomial are not able to recognize some concealed antisymmetry, it could be seen from the corresponding vertexbicolored diagrams. For example, in the case of the 14crossing amphicheiral knot for which the both polynomials failed, its amphicheirality could be explained by the presence of rotational antireflection, i.e. by geometrical antisymmetry arguments. Antisymmetrical knot diagrams, rigid and nonrigid achirality are considered by J.Liang & K.Mislow [22] and E.Flapan [29]. 