  Let E(n) and T(m) for nonnegative integers n and m denote the Johnson-Wilson
and the Ravenel spectra, respectively. Given a spectrum whose E(n)_*-homology
is E(n)_*(T(m))/(v_1,...,v_{n-1}), then each homotopy group of it estimates the
order of each homotopy group of L_nT(m). We here study the E(n)-based Adams
E_2-term of it and present that the determination of the E_2-term is
unexpectedly complex for odd prime case. At the prime two, we determine the
E_{infty}-term for pi_*(L_2T(1)/(v_1)), whose computation is easier than that
of pi_*(L_2T(1)) as we expect.
