  We present a study of complex energy braiding in a 1D non-Hermitian system
with $n$th order long range asymmetrical coupling. Our work highlights the
emergence of novel topological phenomena in such systems beyond the
conventional nearest-neighbor interaction. The modified SSH model displays $n$
distinct knots and links combinations in the complex energy-momentum space
under periodic boundary conditions (PBC), which can be controlled by varying
the coupling strengths. A topological invariant, namely the braiding index, is
introduced to characterize the different complex energy braiding profiles,
which depends on the zeros and poles of the characteristic polynomials.
Furthermore, we demonstrate that the non-Hermitian skin effect can be localized
at one or both ends, signifying conventional or bipolar localization, depending
on the sign of the braiding index. Phase transitions between different braiding
phases with the same (opposite) sign of the topological invariant occur at
Type-1 (Type-2) exceptional points, with Type-1 (Type-2) phase transitions
accompanied by single (multiple) exceptional points. We propose an experimental
set-up to realize the various braiding schemes based on the RLC circuit
framework, which provides an accessible avenue for implementation without
recourse to high-dimensional momentum space required in most other platforms.
