Six MATLAB/Octave data files (*.mat) are the output of two codes: myfilter_Gulf_Stream.m & myfilter_Kurosio.m. Each file containes three fileds: x10, y10, and ogmf10; all three have the same dimention. The x10 is 2D longitude, the y10 is 2D latitude, the ogmf10 is the filtered ocean generated magnetic field on 1.0 degree grid. The eaziest way to see the fields in Matlab/Octave is the comand contourf(x10,y10,ogmf10,10). The files names containing 'gulfstream' are the Gulf Stream induced magnetic fields; the files with names starting with 'kurosio' are the inferred fild for the Kurosio current. Letter "A" in the name is for Alpha satellite, letter "C" is for Charlie satellite, letters "AC" denote combined two-satellite dataset. Number "430" means altitude in km. "202204" is April 2022. The Matlab/Octave codes myfilter_Gulf_Stream.m & myfilter_Kurosio.m are filters to infer the field induced by the Gulf Stream and Kurosio Three files "search_algorithm...." are the SWARM satellites data on regular grid. Again, Letter "A" in the name is for Alpha satellite, letter "C" is for Charlie satellite, letters "AC" denote combined two-satellite dataset. In Matlab/Octave the files can be read with a simple command load "name". Each file containes the following fields: bz, by, bx, sig, nem, lat, lon which are three components of the magnetic fields, the standard deviation, number of data found by the search algoritn in each grid node, latitude and longitude. To check the data do the following: [X,Y]=meshgrid(lon,lat); contourf(X,Y,bz,10); colorbar The land file containes two coordinates (xcst,ycst) of land masses. Command to read: load land A file M025Mask is a mask function, see (Golubev, 2012) load M025mask Kurosio_axis & Gulf_strea_axis are files containing coordinates of current's axis Figure 1,2,3 are .jpg files from the paper which is going to be submited to GRL: Yury Golubev: Magnetic pictures of the Gulf Stream and Kurosio as they seen by SWARM satellites