Top: 3D visualizations of black hole magnetospheres with spin a = 0.99. We show magnetic field lines (a few are highlighted in green or blue) and volume renderings of the plasma number density over the whole domain and of the radial Poynting flux density (S^r) on half of the domain (ϕ ∈ [0, π]). The inclination angle values from left to right are χ = 0°, χ = 30°, and χ = 85°. Bottom: Outgoing Poynting flux density in a cross section of the jet ($S^{\widehat{z}}$) at r = 2r_g in a plane ($O\widehat{x}\widehat{y}$) perpendicular to the jet axis ($\widehat{z}$) for the corresponding inclination angles. The magnetic field lines in this plane are represented in gray, and the dashed lines enclose the jet area.