Bases of a primitive non-powerful signed digraph

In order to further understand characteristics and properties of the bases of primitive non-powerful signed digraph,a primitive non-powerful signed digraph with three cycles are studied in this work.By analyzing the features of the digraph in which there are two cycles that have equal lengths,using apagoge and knowledge about primitive exponents,point exponents,Bases,Frobenius set,powerful,non-powerful and distinguished cycle pair,assuming that the two cycles which have equal lengths have the same and different signs and discussing SSSD walks,the equal upper and lower bounds of bases are obtained,then the true values of bases are got.