H I column densities for mostly negative (top) and positive (bottom) velocity clouds. The top plot highlights the east shell, Eridu cirrus, Cetus and North Taurus clouds, and the north rim, west rim, south loop, and MBM 20 are shown in the bottom plot. The overlaid drapery pattern was produced using the line integral convolution technique (LIC; Cabral & Leedom 1993) to show the plane-of-sky magnetic field orientation, B_sky, inferred from the Planck 353 GHz polarisation observations. The white crosses show the line-of-sight B_los Zeeman measurements by Heiles (1989), with size proportional to the strength and with 1σ error squares or circles for positive or negative values. The black plus signs show the present B_sky estimates based on the angular dispersion in the polarisation data and on the velocity dispersion in the corresponding H I cloud. The marker size is proportional to the value, and the circle gives the 1σ error.