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Maybe by a change of variables: sage: var('k,w,p') sage: expr(k,w,p)=exp(4ik+3iw+ip)-exp(4ik+2iw+2ip)-exp(4ik+2iw)+exp(4ik+iw+ip)+2exp(2ik+4iw+ip)-
exp(2ik+3iw+2ip)-exp(2ik+3i*w) sage: f(k,w,p)=expr(log(k),log(w),log(p)) sage: g(k,w,p)=f.canonicalize_radical() sage: g(exp(k),exp(w),exp(p)).factor()

Maybe by a change of variables: variables:

sage: var('k,w,p') var('k,w,p')

sage: expr(k,w,p)=exp(4ik+3iw+ip)-exp(4ik+2iw+2ip)-exp(4ik+2iw)+exp(4ik+iw+ip)+2exp(2ik+4iw+ip)-
exp(2ik+3iw+2ip)-exp(2ik+3i*w) i*w)

sage: f(k,w,p)=expr(log(k),log(w),log(p)) f(k,w,p)=expr(log(k),log(w),log(p))

sage: g(k,w,p)=f.canonicalize_radical() g(k,w,p)=f.canonicalize_radical()

sage: g(exp(k),exp(w),exp(p)).factor()