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We will discuss below how to generate the base figures that do not include the special notation (shading, numbering etc.) to assist any reader interested in re-producing our results.
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## Step-by-step instructions
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### Figure 1
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### Figures 1,2
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* FIG. 1 was generated using the mms.mms4_pl_conf function of [irfu-matlab](https://github.com/irfu/irfu-matlab) package
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* FIG1 and FIG2 (a) were generated using the mms.mms4_pl_conf function of [irfu-matlab](https://github.com/irfu/irfu-matlab) package
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FIG1 and FIG2 (b,c) are ladder plots of different MMS spacecraft. all the raw data available for them can be found in the MMS public depository.
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### Figures 2,3
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* For panels 3-5 for FIG1,2 (b,c) one can use the iPDist.reduce function of [irfu-matlab](https://github.com/irfu/irfu-matlab) package in 1D on x,y,z GSE coordinates. The panels correspond to 1D reduced velocity distribution functions.
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FIG. 1 and FIG. 2 (a,b) are ladder plots of different MMS spacecraft. all the raw data available for them can be found in the MMS public depository.
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* For panel 9 for FIG1,2 (b,c) one can use irf_spectrogram of [irfu-matlab](https://github.com/irfu/irfu-matlab) package. The panels correspond to ion differential energy flux spectrum.
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* For panels 3-5 for FIGs 2,3 (a,b) one can use the iPDist.reduce function of [irfu-matlab](https://github.com/irfu/irfu-matlab) package in 1D on x,y,z GSE coordinates. The panels correspond to 1D reduced velocity distribution functions.
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* For panel 9 for FIGs 2,3 (a,b) one can use irf_spectrogram of [irfu-matlab](https://github.com/irfu/irfu-matlab) package. The panels correspond to ion differential energy flux spectrum.
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- The rest of the panels are essentially timeseries plots made with irf_plot and irf_panel of [irfu-matlab](https://github.com/irfu/irfu-matlab).
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### Figures 3,5
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### Figures 4,6
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* For panel 3 of FIGs 3,5 one can use the iPDist.reduce function of [irfu-matlab](https://github.com/irfu/irfu-matlab) package in 1D on x GSE direction. The panel correspond to 1D reduced ion velocity distribution function.
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* For panel 3 of FIGs 4,6 one can use the iPDist.reduce function of [irfu-matlab](https://github.com/irfu/irfu-matlab) package in 1D on x GSE direction. The panel correspond to 1D reduced ion velocity distribution function.
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* For panel 6 for FIG3,5 one can use irf_spectrogram of [irfu-matlab](https://github.com/irfu/irfu-matlab) package. The panel correspond to the ion differential energy flux spectrum.
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* For panel 6 for FIGs 4,6 one can use irf_spectrogram of [irfu-matlab](https://github.com/irfu/irfu-matlab) package. The panel correspond to the ion differential energy flux spectrum.
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* For FIG 5(c), one can use the function mms.psd_moments of [irfu-matlab](https://github.com/irfu/irfu-matlab) package. Specifically, the jet is defined as a closed square box of the particles corresponding to negative velocities in the x and y GSE direction in the FIGS1 and discussed in the manuscript of the text.
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* For FIG. 6(c), one can use the function mms.psd_moments of [irfu-matlab](https://github.com/irfu/irfu-matlab) package. Specifically, the jet is defined as a closed square box of the particles corresponding to negative velocities in the x and y GSE direction in the FIGS1 and discussed in the manuscript of the text.
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* Mach number computations to generate the first panel of FIG5(c) is discussed in the results section of the manuscript.
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* Mach number computations to generate the first panel of FIG. 6(c) is discussed in the results and methods ssection of the manuscript.
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### Figure 4
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### Figure 5
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- For reducing the velocity distributions and poject them in 2D we used the iPDist.reduce function of [irfu-matlab](https://github.com/irfu/irfu-matlab) package. Specifically, we use 2D on x,y,z GSE coordinates. The exact same result can be generated by using 3 data points (i-1:i+1) for each measurement point of the FPI burst dataset.
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* For reducing the velocity distributions and poject them in 2D we used the iPDist.reduce function of [irfu-matlab](https://github.com/irfu/irfu-matlab) package. Specifically, we use 2D on x,y,z GSE coordinates. The exact same result can be generated by using 3 data points (i-1:i+1) for each measurement point of the FPI burst dataset.
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### Figure 6
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### Figure 7
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* To generate FIG6 one has to use MMS 1 to cross corelate the rest of the spacecraft measurements with respect to it. For picking the time period, one can focus on the region ("1") as discussed in the manuscript or extend the period to include a larger part. One can use the sample cross-correlation function as implemented in MATLAB software, https://mathworks.com/help/econ/crosscorr.html to perform the task. As discussed in the manuscript, adapting the period of time must produce no significant differences in the optimal time lag between the measurements. More information abou this process can be found in the methods section of the article and in the references cited there.
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* To generate FIG. 7 one has to use MMS 1 to cross corelate the rest of the spacecraft measurements with respect to it. For picking the time period, one can focus on the region ("1") as discussed in the manuscript or extend the period to include a larger part. One can use the sample cross-correlation function as implemented in MATLAB software, https://mathworks.com/help/econ/crosscorr.html to perform the task. As discussed in the manuscript, adapting the period of time must produce no significant differences in the optimal time lag between the measurements. More information abou this process can be found in the methods section of the article and in the references cited there.
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* The plot itself is a typical ladder plot of 4 timerseries that include magnetic field measurements. Similar to the figures above, one can use the irf_plot function of [irfu-matlab](https://github.com/irfu/irfu-matlab) package.
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### Figure 7
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### Figure 8
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* FIG. 8(a) was generated using the mms.mms4_pl_conf function of [irfu-matlab](https://github.com/irfu/irfu-matlab) package
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* FIG 7(a) was completely done using vector graphics in inkscape by the corresponding author.
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* FIG. 8(b) was completely done using vector graphics in inkscape by the corresponding author.
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* FIG 7(b) is a timeseries ladder plot using simple plotting routines and the irf_spectrogram of [irfu-matlab](https://github.com/irfu/irfu-matlab) package.
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* FIG. 8(c) is a timeseries ladder plot using simple plotting routines and the irf_spectrogram of [irfu-matlab](https://github.com/irfu/irfu-matlab) package.
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If more information are needed, the reader may contact the corresponding author.
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