  Aim of the paper is study weak gravitational lensing of quantum (perturbed)
(QLBHL) and classical (CLBHL) Lukewarm black hole in presence of cosmological
parameter $\Lambda$. We apply numerical method to evaluate deflection angle of
bending light rays, images locations $\theta$ of sample source
$\beta=-\frac{\pi}{4},$ and corresponding magnifications $\mu.$
  There is not obtained real values for Einstein rings locations
$\theta_E(\beta=0)$ for CLBHL but we calculate them for QLBHL. As experimental
test of our calculations, we choose mass $M$ of 60 type of most massive
observed galactic black holes as gravitational lens and study quantum matter
fields effects on the angle of bending light rays in presence of the
cosmological constant effects. We calculate locations of non-relativistic
images and corresponding magnifications. Numerical diagrams show that the
quantum matter effects cause to be reduce absolute values of the quantum
deflection angle with respect to the classical ones. Sign of the quantum
deflection angle is changed with respect to the classical values in presence of
the cosmological constant. This means dominance of anti-gravity counterpart of
the cosmological horizon on the bending light rays angle with respect to
absorbing effects of local 60 type of observed most massive black holes.
Variations of the image positions and magnifications are negligible by
increasing dimensionless cosmological constant $\epsilon=\frac{16\Lambda
M^2}{3}.$ Deflection angle takes positive (negative) values for CLBHL (QLBHL)
and they decrease very fast (slow) by increasing closest distance $x_0$ of
bending light ray and/or dimensionless cosmological parameter for sample giant
black holes $0.001<\epsilon<0.01$.
