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##  Appendix A Radial velocities and activity indicators

The log of the SOPHIE and SPIRou observations with their activity indicators
are listed in Table 9 and LABEL:table:SPIRoudata, respectively.

Table 9: SOPHIE RVs and activity indicators. The values of the RVs are given as the variation from the mean $\rm RV=8727.9$ m s-1. BJD-2400000 |  $\Delta$RV | $\sigma_{\rm RV}$ | FWHM | contrast | BIS | $\sigma_{\rm BIS}$ | $\rm S_{MW}$ | $\sigma_{S}$ | $\rm H_{\alpha}$ | $\sigma_{\rm H_{\alpha}}$
---|---|---|---|---|---|---|---|---|---|---
d |  m s-1 |  m s-1 |  km s-1 | %CCF |  m s-1 |  m s-1 | - | - | - | -
58794.5891 | -1.5 | 2.1 | 4.77 | 21.87 | 13.07 | 2.87 | 1.61 | 0.02 | 0.2519 | 0.0007
58796.5420 | 4.7 | 2.3 | 4.80 | 21.16 | 8.53 | 3.14 | 1.63 | 0.01 | 0.2499 | 0.0009
58805.5787 | -6.9 | 2.5 | 4.80 | 21.53 | 9.48 | 3.40 | 1.62 | 0.03 | 0.2659 | 0.0010
58820.5323 | -7.8 | 1.7 | 4.75 | 21.14 | 10.76 | 2.29 | 1.54 | 0.02 | 0.2457 | 0.0006
58821.5421 | -9.2 | 2.4 | 4.82 | 20.87 | 9.65 | 3.30 | 1.66 | 0.03 | 0.2445 | 0.0009
58825.5023 | -6.0 | 1.8 | 4.79 | 21.38 | 10.43 | 2.33 | 1.59 | 0.02 | 0.2522 | 0.0007
58832.5041 | 0.7 | 1.6 | 4.70 | 20.93 | 14.07 | 2.10 | 1.52 | 0.02 | 0.2514 | 0.0005
58851.4754 | -4.0 | 2.8 | 4.83 | 20.24 | 24.34 | 3.81 | 1.49 | 0.03 | 0.2539 | 0.0011
58854.4361 | -3.0 | 1.7 | 4.72 | 20.96 | 10.73 | 2.27 | 1.51 | 0.02 | 0.2461 | 0.0006
58859.4193 | -9.0 | 2.1 | 4.81 | 21.25 | 6.20 | 2.84 | 1.43 | 0.02 | 0.2394 | 0.0008
58860.4112 | -4.8 | 1.8 | 4.76 | 21.25 | 5.56 | 2.37 | 1.48 | 0.02 | 0.2401 | 0.0007
58878.3905 | 3.1 | 2.5 | 4.83 | 20.56 | 14.43 | 3.42 | 1.71 | 0.03 | 0.2745 | 0.0010
58892.3602 | -3.0 | 2.3 | 4.81 | 20.95 | 8.26 | 3.12 | 1.66 | 0.03 | 0.2559 | 0.0009
58894.3182 | -1.4 | 1.6 | 4.74 | 21.36 | 6.25 | 2.10 | 1.59 | 0.02 | 0.2434 | 0.0006
58895.2799 | 3.7 | 1.7 | 4.71 | 20.99 | 11.49 | 2.23 | 1.63 | 0.03 | 0.2456 | 0.0006
58903.2928 | 0.6 | 1.8 | 4.79 | 21.38 | 9.51 | 2.38 | 1.68 | 0.02 | 0.2521 | 0.0007
58904.3100 | -0.7 | 1.7 | 4.76 | 21.27 | 9.18 | 2.23 | 2.02 | 0.02 | 0.2593 | 0.0006
58905.3351 | -1.0 | 2.7 | 4.86 | 20.87 | 9.21 | 3.71 | 1.67 | 0.03 | 0.2571 | 0.0012
58911.2803 | 9.1 | 2.8 | 4.87 | 20.62 | 12.12 | 3.89 | 1.71 | 0.02 | 0.2629 | 0.0012
58920.2862 | -6.6 | 1.7 | 4.77 | 21.35 | 19.21 | 2.24 | 1.60 | 0.02 | 0.2732 | 0.0006
58921.3072 | -10.1 | 2.6 | 4.79 | 20.38 | 9.59 | 3.56 | 1.64 | 0.03 | 0.2707 | 0.0010
58922.2891 | -4.1 | 2.3 | 4.84 | 21.12 | 17.30 | 3.11 | 1.71 | 0.02 | 0.2680 | 0.0009
59147.5761 | 3.2 | 1.6 | 4.78 | 21.84 | 16.70 | 2.15 | 1.67 | 0.02 | 0.2645 | 0.0005
59149.5806 | -0.7 | 2.0 | 4.87 | 22.49 | 11.77 | 2.70 | 1.85 | 0.02 | 0.2664 | 0.0008
59152.5861 | -4.6 | 1.7 | 4.83 | 22.35 | 12.68 | 2.27 | 1.70 | 0.01 | 0.2649 | 0.0006
59154.5745 | -4.4 | 1.8 | 4.82 | 22.11 | 13.54 | 2.37 | 1.77 | 0.02 | 0.2658 | 0.0007
59159.6351 | -3.3 | 1.6 | 4.76 | 22.02 | 9.15 | 2.18 | 1.63 | 0.02 | 0.2481 | 0.0005
59171.5482 | 6.6 | 1.6 | 4.80 | 22.13 | 11.01 | 2.15 | 1.74 | 0.02 | 0.2688 | 0.0006
59186.5302 | -1.5 | 1.8 | 4.84 | 22.13 | 16.25 | 2.36 | 1.72 | 0.02 | 0.2665 | 0.0007
59194.4799 | -4.1 | 1.4 | 4.81 | 21.93 | 4.33 | 1.80 | 1.82 | 0.01 | 0.2718 | 0.0005
59196.4731 | 1.4 | 2.5 | 4.89 | 20.80 | 9.19 | 3.43 | 1.72 | 0.02 | 0.2668 | 0.0010
59206.4607 | -2.8 | 3.4 | 4.86 | 19.43 | 5.55 | 4.69 | 1.60 | 0.04 | 0.2788 | 0.0013
59240.3519 | -3.3 | 2.3 | 4.94 | 21.16 | 5.49 | 3.14 | 1.80 | 0.01 | 0.2750 | 0.0010
59245.4175 | 1.8 | 2.8 | 4.87 | 20.12 | 13.67 | 3.90 | 1.99 | 0.03 | 0.2948 | 0.0011
59249.3216 | 8.7 | 1.6 | 4.84 | 21.50 | 10.24 | 2.15 | 1.96 | 0.01 | 0.2875 | 0.0007
59263.3251 | -2.7 | 1.4 | 4.82 | 21.99 | 15.39 | 1.72 | 1.72 | 0.01 | 0.2498 | 0.0005
59271.3509 | 5.4 | 1.4 | 4.83 | 21.90 | 10.31 | 1.77 | 1.62 | 0.01 | 0.2656 | 0.0005
59272.3046 | 5.8 | 1.7 | 4.83 | 21.27 | 10.45 | 2.25 | 1.72 | 0.02 | 0.2718 | 0.0007
59279.3161 | 4.0 | 1.6 | 4.82 | 21.31 | 6.78 | 2.14 | 1.89 | 0.02 | 0.2859 | 0.0006
59475.6741 | 0.8 | 1.6 | 4.89 | 22.60 | 15.41 | 2.09 | 1.90 | 0.01 | 0.2731 | 0.0006
59486.6681 | 8.8 | 1.6 | 4.91 | 22.31 | 11.11 | 2.09 | 2.07 | 0.01 | 0.2984 | 0.0006
59488.6528 | 3.8 | 1.4 | 4.90 | 22.42 | 15.67 | 1.87 | 2.11 | 0.01 | 0.3043 | 0.0005
59500.6615 | 0.4 | 1.9 | 4.87 | 22.00 | 10.30 | 2.54 | 1.70 | 0.01 | 0.2534 | 0.0008
59502.6818 | 8.9 | 1.6 | 4.85 | 22.28 | 12.14 | 2.12 | 1.72 | 0.01 | 0.2512 | 0.0006
59505.5964 | 3.1 | 1.6 | 4.84 | 22.15 | 13.09 | 2.12 | 1.85 | 0.01 | 0.2820 | 0.0006
59506.6446 | 3.8 | 1.5 | 4.85 | 22.45 | 18.09 | 1.98 | 1.71 | 0.01 | 0.2632 | 0.0006
59511.6283 | -0.6 | 1.8 | 4.86 | 22.02 | 13.26 | 2.35 | 1.76 | 0.01 | 0.2600 | 0.0007
59513.6577 | 2.5 | 1.9 | 4.87 | 21.83 | 7.76 | 2.61 | 1.70 | 0.01 | 0.2606 | 0.0008
59525.5697 | 1.3 | 1.8 | 4.89 | 21.76 | 10.40 | 2.45 | 1.85 | 0.01 | 0.2800 | 0.0008
59532.5356 | -0.5 | 2.0 | 4.87 | 21.86 | 17.64 | 2.65 | 1.88 | 0.01 | 0.2808 | 0.0008
59536.5829 | -2.0 | 1.5 | 4.81 | 22.22 | 13.27 | 1.98 | 1.71 | 0.01 | 0.2598 | 0.0008
59537.4909 | -0.2 | 1.6 | 4.80 | 21.84 | 12.61 | 2.19 | 1.62 | 0.01 | 0.2499 | 0.0005
59538.5451 | 3.0 | 1.5 | 4.80 | 22.21 | 12.87 | 1.92 | 1.64 | 0.01 | 0.2668 | 0.0005
59547.5166 | -6.2 | 2.7 | 4.88 | 20.98 | 12.45 | 3.68 | 1.77 | 0.02 | 0.2550 | 0.0011
59554.5152 | 9.0 | 2.0 | 4.87 | 21.38 | 12.03 | 2.65 | 1.85 | 0.02 | 0.2845 | 0.0008
59562.5315 | -6.0 | 1.5 | 4.75 | 21.09 | 14.40 | 1.96 | 1.64 | 0.02 | 0.2650 | 0.0005
59587.4143 | 4.6 | 2.3 | 4.87 | 20.92 | 8.97 | 3.09 | 1.55 | 0.02 | 0.2683 | 0.0010
59594.3647 | 4.1 | 1.4 | 4.77 | 21.41 | 9.97 | 1.83 | 1.59 | 0.02 | 0.2686 | 0.0005
59595.3839 | -1.8 | 1.6 | 4.81 | 21.35 | 6.96 | 2.18 | 1.68 | 0.02 | 0.2671 | 0.0006
59597.4072 | 3.0 | 1.6 | 4.80 | 21.54 | 15.26 | 2.04 | 1.66 | 0.01 | 0.2644 | 0.0006
59601.3991 | 3.9 | 1.9 | 4.83 | 21.42 | 12.38 | 2.59 | 1.75 | 0.02 | 0.2634 | 0.0008
59607.3530 | 3.7 | 1.6 | 4.79 | 21.67 | 9.40 | 2.04 | 1.69 | 0.02 | 0.2641 | 0.0006

2]

Table 10:  SPIRou RVs and activity indicators. The values of the RVs are given as the variation from the mean $\rm RV=9229.7$ m s-1. BJD-2400000 |  $\Delta$RV | $\sigma_{\rm RV}$ | $\rm FWHM_{\rm LBL}$ | $\sigma_{\rm FWHM}$ | chrom. velocity slope | $\sigma_{\rm chrom.}$ | $B_{\ell}$ | $\sigma_{B}$ | Phase | Season
---|---|---|---|---|---|---|---|---|---|---
d | m s-1 | m s-1 | km s-1 | km s-1 | m s-1 | m s-1 | G | G |  |
58738.1365**$*$Night with more than one spectropolarimetric sequence. The RV and activity indicators are computed with the nightly average spectra. | -1.3 | 1.6 | 6.006 | 0.009 | -16.0 | 3.0 | 5.70 | 1.19 | 0.00 | 1
58745.1192 | 2.2 | 2.2 | 5.941 | 0.009 | -8.1 | 4.6 | 0.06 | 1.16 | 0.20 | 1
58746.0224 | 7.8 | 2.2 | 5.946 | 0.010 | -9.7 | 4.7 | -1.18 | 1.33 | 0.23 | 1
58751.1257 | -3.6 | 1.9 | 5.951 | 0.008 | -18.5 | 4.0 | -4.12 | 1.14 | 0.38 | 1
58752.1188 | -5.6 | 2.1 | 5.929 | 0.009 | -17.7 | 4.5 | 1.28 | 1.76 | 0.41 | 1
58753.1103 | 1.3 | 2.1 | 5.972 | 0.009 | -19.9 | 4.1 | 0.07 | 1.22 | 0.44 | 1
58760.1240 | -1.1 | 1.9 | 5.961 | 0.008 | -26.3 | 3.9 | 5.55 | 1.04 | 0.64 | 1
58762.1541 | 5.6 | 2.1 | 5.928 | 0.009 | -19.2 | 4.5 | 5.61 | 1.30 | 0.70 | 1
58763.1257 | 3.1 | 2.1 | 5.942 | 0.009 | -21.7 | 4.4 | 4.51 | 1.18 | 0.73 | 1
58766.1035 | -1.8 | 2.3 | 5.905 | 0.010 | -9.9 | 4.8 | 2.23 | 1.21 | 0.81 | 1
58769.0896 | -0.2 | 2.1 | 5.935 | 0.009 | -4.4 | 4.5 | 5.79 | 1.36 | 0.90 | 1
58770.1405 | 0.3 | 2.0 | 5.945 | 0.009 | -10.7 | 4.3 | 7.59 | 1.14 | 0.93 | 1
58771.0739 | -1.1 | 2.3 | 5.932 | 0.010 | -1.7 | 4.9 | 5.75 | 1.49 | 0.96 | 1
58772.1394 | 2.0 | 2.0 | 5.972 | 0.009 | -7.0 | 4.1 | 4.25 | 1.26 | 0.99 | 1
58773.0344 | 0.8 | 2.1 | 5.959 | 0.009 | -6.0 | 4.4 | 5.78 | 1.37 | 1.01 | 1
58788.1049 | -2.3 | 2.0 | 5.922 | 0.009 | -9.5 | 4.2 | -2.68 | 1.19 | 1.45 | 1
58789.1097 | -6.3 | 1.9 | 5.938 | 0.008 | -19.7 | 3.9 | 1.73 | 1.05 | 1.48 | 1
58791.0882 | 0.8 | 2.1 | 5.898 | 0.009 | -24.1 | 4.6 | 4.03 | 1.18 | 1.54 | 1
58792.1294 | -0.4 | 2.1 | 5.930 | 0.009 | -12.7 | 4.5 | 4.26 | 1.32 | 1.57 | 1
58793.1331 | 2.0 | 2.1 | 5.957 | 0.009 | -4.0 | 4.3 | 5.60 | 1.12 | 1.60 | 1
58794.1219 | -1.7 | 2.3 | 5.976 | 0.010 | -32.0 | 5.1 | 5.15 | 1.41 | 1.63 | 1
58795.1056 | 6.6 | 1.9 | 5.980 | 0.008 | -10.7 | 4.0 | 4.69 | 1.07 | 1.66 | 1
58796.1638**$*$Night with more than one spectropolarimetric sequence. The RV and activity indicators are computed with the nightly average spectra. | 10.7 | 1.8 | 5.994 | 0.011 | -9.7 | 3.8 | 5.66 | 2.13 | 1.69 | 1
58796.9823 | 5.2 | 2.0 | 6.018 | 0.009 | -14.1 | 4.5 | 5.73 | 1.24 | 1.71 | 1
58801.0872 | 9.7 | 2.0 | 5.972 | 0.009 | -10.9 | 4.4 | 2.77 | 1.18 | 1.83 | 1
58802.0572 | 14.6 | 2.0 | 5.965 | 0.009 | -13.1 | 4.5 | 2.16 | 1.22 | 1.86 | 1
58823.0087 | -3.7 | 2.2 | 5.943 | 0.009 | -3.2 | 4.7 | 1.32 | 1.42 | 2.47 | 1
58825.0963 | -1.4 | 2.0 | 5.975 | 0.009 | -0.8 | 4.2 | 4.52 | 1.15 | 2.53 | 1
58826.0288 | -1.9 | 2.0 | 5.976 | 0.009 | -4.5 | 4.1 | 5.20 | 1.15 | 2.56 | 1
58827.0595 | -5.3 | 2.2 | 5.930 | 0.010 | -18.0 | 4.6 | 5.81 | 1.11 | 2.58 | 1
58827.9807 | -2.2 | 2.1 | 5.943 | 0.009 | -18.2 | 4.3 | 2.76 | 1.15 | 2.61 | 1
58829.0723 | -4.4 | 2.1 | 5.959 | 0.009 | -2.7 | 4.4 | 3.00 | 1.18 | 2.64 | 1
58829.9988 | 4.1 | 2.0 | 5.947 | 0.008 | -3.6 | 3.9 | 4.29 | 1.02 | 2.67 | 1
59088.1459 | -0.0 | 1.6 | 5.986 | 0.007 | 3.8 | 2.9 | 1.11 | 0.91 | 10.17 | 2
59089.0973 | 0.3 | 1.6 | 5.959 | 0.007 | 1.6 | 3.0 | 2.59 | 0.87 | 10.20 | 2
59090.0986 | -1.5 | 1.7 | 5.949 | 0.008 | -0.7 | 3.3 | 2.87 | 0.86 | 10.23 | 2
59091.1334 | 0.6 | 1.9 | 5.925 | 0.008 | 20.8 | 3.7 | 1.87 | 0.89 | 10.26 | 2
59092.1231 | -0.9 | 1.7 | 5.952 | 0.007 | 4.4 | 3.1 | 3.62 | 0.86 | 10.29 | 2
59093.1251 | -1.0 | 2.0 | 5.897 | 0.009 | 8.2 | 4.0 | 2.71 | 0.82 | 10.32 | 2
59094.1339 | -2.5 | 1.9 | 5.900 | 0.008 | 14.4 | 3.9 | 3.80 | 1.02 | 10.35 | 2
59095.1265 | 2.8 | 1.7 | 5.945 | 0.008 | 3.2 | 3.3 | 2.57 | 0.89 | 10.38 | 2
59096.1231 | 0.2 | 1.7 | 5.988 | 0.007 | 4.3 | 3.2 | 1.37 | 1.02 | 10.41 | 2
59097.1475 | -2.6 | 2.1 | 5.903 | 0.009 | -0.0 | 4.1 | 1.94 | 1.32 | 10.44 | 2
59098.1493 | -6.5 | 1.6 | 5.968 | 0.007 | -7.4 | 3.0 | 0.74 | 0.84 | 10.47 | 2
59099.1228 | -6.3 | 1.9 | 5.914 | 0.008 | 9.6 | 3.8 | 1.47 | 1.02 | 10.49 | 2
59101.1095 | -3.0 | 1.9 | 5.923 | 0.008 | 0.0 | 3.9 | -0.89 | 0.98 | 10.55 | 2
59102.0900 | -0.0 | 1.7 | 5.954 | 0.007 | -7.3 | 3.3 | 1.75 | 0.99 | 10.58 | 2
59103.0880 | -2.5 | 1.9 | 5.920 | 0.008 | 2.0 | 3.7 | 0.68 | 0.92 | 10.61 | 2
59111.1241 | -1.0 | 1.9 | 5.960 | 0.008 | -4.6 | 4.0 | 0.85 | 1.14 | 10.84 | 2
59112.1125 | -0.1 | 1.8 | 5.974 | 0.008 | 6.5 | 3.3 | 2.15 | 1.04 | 10.87 | 2
59114.0475 | 2.5 | 2.1 | 5.933 | 0.009 | 2.9 | 4.2 | 0.27 | 0.92 | 10.93 | 2
59115.1229 | 0.9 | 1.8 | 5.983 | 0.008 | -11.9 | 3.2 | -0.84 | 0.99 | 10.96 | 2
59116.0896 | 4.1 | 1.8 | 5.957 | 0.008 | 0.1 | 3.5 | -4.41 | 1.11 | 10.99 | 2
59118.0749**$*$Night with more than one spectropolarimetric sequence. The RV and activity indicators are computed with the nightly average spectra. | 3.7 | 1.8 | 5.914 | 0.008 | 4.3 | 3.6 | -4.26 | 0.92 | 11.04 | 2
59120.1385 | 5.5 | 1.9 | 5.964 | 0.012 | -3.6 | 4.2 | -2.66 | 2.06 | 11.10 | 2
59121.0153 | -4.6 | 1.8 | 5.931 | 0.008 | 6.0 | 3.5 | -2.10 | 0.90 | 11.13 | 2
59122.1230 | -0.4 | 1.8 | 5.929 | 0.008 | 6.3 | 3.4 | 1.95 | 1.17 | 11.16 | 2
59123.0174 | -5.4 | 2.0 | 5.903 | 0.009 | 1.1 | 4.0 | 3.13 | 1.01 | 11.19 | 2
59127.0178 | -4.9 | 1.8 | 5.921 | 0.008 | 3.6 | 3.4 | 2.37 | 0.90 | 11.30 | 2
59128.0016 | -4.3 | 1.8 | 5.918 | 0.008 | 1.7 | 3.3 | 2.55 | 0.84 | 11.33 | 2
59129.0533 | -3.7 | 1.8 | 5.945 | 0.008 | 7.0 | 3.4 | 2.72 | 1.05 | 11.36 | 2
59129.9930 | -1.9 | 1.9 | 5.897 | 0.008 | 7.1 | 3.7 | 2.36 | 0.86 | 11.39 | 2
59131.1038 | -1.1 | 1.8 | 5.917 | 0.008 | 5.7 | 3.4 | 1.31 | 0.92 | 11.42 | 2
59154.1087 | -9.4 | 1.7 | 5.933 | 0.007 | 0.4 | 3.0 | 1.26 | 0.75 | 12.09 |
59154.9730 | -8.1 | 1.7 | 5.925 | 0.007 | -9.5 | 3.0 | 3.66 | 0.80 | 12.12 |
59156.1429 | -6.5 | 1.8 | 6.000 | 0.013 | -10.2 | 3.6 | 4.49 | 1.15 | 12.15 |
59157.0273 | -8.2 | 1.8 | 5.924 | 0.008 | -1.0 | 3.6 | 3.42 | 1.24 | 12.18 |
59158.0274 | -9.3 | 1.8 | 5.921 | 0.008 | -2.9 | 3.5 | 6.36 | 1.18 | 12.21 |
59159.0282 | -3.0 | 1.7 | 5.937 | 0.007 | 4.5 | 3.2 | 7.64 | 0.84 | 12.24 |
59207.9651 | 6.7 | 2.0 | 5.900 | 0.009 | 1.5 | 4.0 | 1.63 | 1.15 | 13.66 |
59208.9774 | 4.2 | 1.8 | 5.942 | 0.008 | 0.6 | 3.4 | 0.71 | 0.95 | 13.69 |
59209.9278 | 1.3 | 1.6 | 5.961 | 0.007 | 7.3 | 3.0 | 2.87 | 0.80 | 13.71 |
59211.8520 | 1.4 | 1.8 | 5.962 | 0.007 | 14.1 | 3.1 | 4.12 | 0.92 | 13.77 |
59212.9753 | 4.1 | 1.7 | 5.961 | 0.007 | 2.7 | 3.2 | 1.49 | 1.01 | 13.80 |
59214.0266 | 2.1 | 1.7 | 5.979 | 0.007 | 5.8 | 3.2 | 2.87 | 0.93 | 13.83 |
59214.9368 | -1.7 | 1.7 | 5.953 | 0.007 | -0.1 | 3.1 | 3.91 | 0.91 | 13.86 |
59215.8867 | 1.1 | 2.0 | 5.985 | 0.009 | 0.4 | 4.2 | -0.06 | 1.39 | 13.89 |
59216.8987 | 5.4 | 1.6 | 5.938 | 0.007 | -0.4 | 3.0 | 1.14 | 0.77 | 13.92 |
59217.9291 | 4.9 | 1.6 | 5.963 | 0.007 | 10.5 | 2.9 | -0.82 | 0.83 | 13.95 |
59218.9165 | 1.9 | 1.7 | 5.945 | 0.007 | 5.4 | 3.2 | -0.64 | 0.84 | 13.98 |
59219.9436 | 5.0 | 1.7 | 5.943 | 0.007 | 11.0 | 3.1 | -0.10 | 0.84 | 14.01 |
59220.9034 | 0.8 | 1.6 | 5.947 | 0.007 | 6.6 | 3.0 | 2.01 | 0.85 | 14.03 |
59221.9382 | 1.8 | 1.6 | 5.945 | 0.007 | 22.3 | 2.9 | 0.75 | 0.83 | 14.06 |
59222.9549 | -1.7 | 1.6 | 5.953 | 0.007 | 20.6 | 2.9 | 3.87 | 0.84 | 14.09 |
59267.7684 | -3.6 | 1.7 | 5.942 | 0.007 | 7.3 | 3.1 | 0.02 | 0.97 | 15.40 |
59271.7394 | -5.7 | 1.6 | 5.957 | 0.007 | 9.2 | 2.8 | -0.86 | 0.84 | 15.51 |
59273.8932 | -2.6 | 1.8 | 5.956 | 0.008 | -0.9 | 3.4 | -0.40 | 1.06 | 15.57 |
59275.8955 | -5.6 | 1.9 | 5.994 | 0.008 | -5.5 | 3.8 | 0.19 | 1.25 | 15.63 |
59276.8024 | -5.4 | 1.5 | 5.964 | 0.007 | 16.5 | 2.9 | -2.27 | 0.77 | 15.66 |
59277.7671 | -5.3 | 1.6 | 5.951 | 0.007 | -1.4 | 3.0 | -1.68 | 0.74 | 15.69 |
59297.7410 | -6.3 | 1.7 | 5.896 | 0.008 | 4.7 | 3.4 | 2.83 | 0.81 | 16.27 |
59440.1423 | 0.5 | 1.8 | 5.930 | 0.008 | 0.6 | 3.4 | 0.33 | 1.07 | 20.41 | 3
59442.1181 | -0.4 | 1.8 | 5.934 | 0.008 | 3.8 | 3.5 | 1.99 | 0.94 | 20.46 | 3
59443.1094 | -1.9 | 1.6 | 5.975 | 0.007 | 4.2 | 3.0 | 2.30 | 0.87 | 20.49 | 3
59444.1392 | -0.4 | 1.7 | 5.949 | 0.007 | -4.1 | 3.2 | 3.95 | 0.93 | 20.52 | 3
59445.1268 | 2.1 | 1.6 | 5.959 | 0.007 | -6.8 | 2.9 | 6.81 | 0.87 | 20.55 | 3
59447.1009 | 1.5 | 1.7 | 5.972 | 0.007 | -6.5 | 3.1 | 7.99 | 0.87 | 20.61 | 3
59448.1311 | 6.5 | 1.8 | 5.942 | 0.008 | -9.3 | 3.4 | 5.45 | 1.00 | 20.64 | 3
59449.1436 | 0.6 | 1.8 | 5.954 | 0.008 | -11.1 | 3.4 | 8.44 | 0.90 | 20.67 | 3
59450.1248 | 3.1 | 1.7 | 5.973 | 0.007 | -2.1 | 3.1 | 4.68 | 0.98 | 20.70 | 3
59451.1236 | 2.6 | 1.9 | 5.951 | 0.008 | -8.3 | 3.4 | 4.54 | 0.95 | 20.73 | 3
59452.1097 | 1.7 | 1.7 | 5.971 | 0.007 | 0.7 | 3.0 | 3.13 | 0.86 | 20.76 | 3
59453.1165 | 9.1 | 1.7 | 5.981 | 0.007 | 1.5 | 3.1 | 6.72 | 0.92 | 20.78 | 3
59473.0971 | 3.0 | 1.6 | 5.964 | 0.007 | 0.7 | 3.0 | -2.72 | 0.89 | 21.37 | 3
59475.0965 | 6.6 | 1.8 | 5.932 | 0.008 | -0.5 | 3.4 | -2.60 | 1.09 | 21.42 | 3
59477.1203 | 6.5 | 1.9 | 5.922 | 0.008 | 2.4 | 3.7 | 1.47 | 0.86 | 21.48 | 3
59478.0777 | -0.2 | 1.9 | 5.919 | 0.008 | 7.0 | 3.8 | 3.05 | 0.93 | 21.51 | 3
59480.0106 | 7.1 | 1.7 | 5.955 | 0.007 | 0.0 | 3.1 | 4.14 | 0.85 | 21.57 | 3
59481.0283 | 8.0 | 1.7 | 5.954 | 0.008 | -4.3 | 3.2 | 4.29 | 0.97 | 21.60 | 3
59482.0279 | 9.6 | 1.8 | 5.945 | 0.008 | -3.3 | 3.6 | 6.76 | 1.34 | 21.62 | 3
59502.1252 | -1.7 | 1.9 | 5.892 | 0.008 | -9.2 | 3.5 | -3.36 | 0.99 | 22.21 |
59504.1295 | -3.5 | 1.9 | 5.971 | 0.008 | 2.1 | 3.9 | -1.66 | 1.19 | 22.27 |
59506.1212 | -16.5 | 2.5 | 5.904 | 0.011 | 8.9 | 5.4 | -2.18 | 1.46 | 22.33 |
59507.1298 | -2.2 | 1.8 | 5.931 | 0.008 | -4.6 | 3.5 | -2.24 | 0.91 | 22.35 |
59509.1337 | -13.4 | 2.0 | 5.962 | 0.009 | 3.2 | 4.3 | -0.33 | 1.19 | 22.41 |
59510.1171 | -5.5 | 2.1 | 5.950 | 0.009 | 15.0 | 4.4 | -1.46 | 1.22 | 22.44 |
59511.1047 | -5.4 | 1.7 | 5.918 | 0.007 | 0.7 | 3.2 | 0.15 | 0.93 | 22.47 |
59513.0782 | -6.6 | 1.5 | 5.961 | 0.007 | -5.2 | 2.7 | 0.50 | 0.78 | 22.53 |
59514.0972 | -1.4 | 1.6 | 5.946 | 0.007 | 1.1 | 2.9 | 0.82 | 0.88 | 22.56 |
59515.1549 | -2.8 | 1.8 | 5.924 | 0.008 | -3.0 | 3.2 | 0.33 | 0.82 | 22.59 |
59516.0071 | 2.5 | 1.7 | 5.970 | 0.007 | 0.6 | 2.8 | 0.83 | 0.78 | 22.61 |
59535.0426 | -7.0 | 2.0 | 5.926 | 0.009 | 0.4 | 4.1 | -6.65 | 1.31 | 23.17 | 4
59537.9797 | -1.3 | 1.7 | 5.906 | 0.007 | -15.9 | 3.2 | -3.38 | 1.05 | 23.25 | 4
59539.0540 | -4.0 | 1.7 | 5.925 | 0.007 | -3.6 | 3.3 | -1.83 | 0.93 | 23.28 | 4
59540.0405 | -0.1 | 1.7 | 5.925 | 0.007 | -9.8 | 3.1 | -1.41 | 0.91 | 23.31 | 4
59541.0569 | 0.1 | 1.6 | 5.923 | 0.007 | -3.0 | 3.1 | -0.24 | 0.76 | 23.34 | 4
59558.0071 | 7.6 | 1.7 | 5.985 | 0.007 | 3.7 | 2.9 | 0.96 | 0.80 | 23.83 | 4
59560.0476 | 5.2 | 1.6 | 5.996 | 0.007 | 14.7 | 3.0 | 1.01 | 0.93 | 23.89 | 4
59561.0577 | 9.7 | 1.6 | 5.977 | 0.007 | 14.2 | 3.1 | 0.82 | 0.94 | 23.92 | 4
59562.0182 | 3.4 | 1.7 | 5.974 | 0.008 | 14.3 | 3.3 | 0.48 | 1.06 | 23.95 | 4
59563.8546 | 2.7 | 1.6 | 5.952 | 0.007 | 2.3 | 2.8 | 0.55 | 0.76 | 24.00 | 4
59564.9371 | 3.8 | 1.7 | 5.950 | 0.007 | 7.4 | 3.1 | 0.19 | 0.89 | 24.03 | 4
59566.9795 | -0.3 | 1.8 | 5.896 | 0.008 | 7.8 | 3.4 | -1.53 | 0.92 | 24.09 | 4
59585.9682 | 1.3 | 1.9 | 5.916 | 0.008 | 6.9 | 3.2 | -3.13 | 0.77 | 24.65 | 4
59587.9584 | 2.1 | 1.8 | 5.919 | 0.008 | 4.8 | 3.5 | -0.20 | 0.89 | 24.70 | 4
59588.9581 | 2.1 | 1.8 | 5.925 | 0.008 | 1.2 | 3.4 | -1.16 | 1.07 | 24.73 | 4
59589.8836 | -0.7 | 1.9 | 5.912 | 0.008 | 5.8 | 3.8 | -3.13 | 0.99 | 24.76 | 4
59590.7756 | 2.5 | 1.6 | 5.954 | 0.007 | 13.7 | 2.8 | -0.73 | 0.81 | 24.79 | 4
59591.8296 | 2.5 | 1.6 | 5.960 | 0.007 | 12.8 | 2.9 | 1.69 | 0.86 | 24.82 | 4
59592.7883 | 3.3 | 1.7 | 5.930 | 0.007 | 14.1 | 3.2 | 1.57 | 0.86 | 24.84 | 4
59593.9250 | 7.8 | 1.5 | 5.961 | 0.007 | 10.1 | 2.7 | 2.23 | 0.74 | 24.88 | 4
59594.9754 | 5.8 | 1.6 | 5.952 | 0.007 | 21.2 | 2.8 | 1.81 | 0.80 | 24.91 | 4
59596.9323 | -1.5 | 1.6 | 5.939 | 0.007 | 11.8 | 2.9 | 2.60 | 0.81 | 24.96 | 4
59597.9986 | -0.9 | 1.6 | 5.923 | 0.007 | 16.1 | 3.1 | 2.66 | 0.93 | 25.00 | 4
59598.9765 | 0.2 | 1.6 | 5.929 | 0.007 | 6.8 | 3.0 | 1.15 | 0.84 | 25.02 | 4
59599.9542 | -3.6 | 1.7 | 5.913 | 0.007 | -8.2 | 3.2 | 0.40 | 0.82 | 25.05 | 4
59601.9558 | 0.4 | 1.7 | 5.973 | 0.007 | 4.3 | 3.3 | -1.90 | 1.13 | 25.11 | 4
59603.9449 | -3.7 | 1.7 | 5.909 | 0.007 | 1.1 | 3.2 | -3.85 | 0.84 | 25.17 | 4
59604.9396 | -1.2 | 1.6 | 5.953 | 0.007 | -3.3 | 2.9 | -1.71 | 0.87 | 25.20 | 4
59606.8864 | -2.4 | 1.7 | 5.938 | 0.007 | 0.5 | 3.0 | -1.20 | 0.92 | 25.25 | 4
59607.9038 | -4.6 | 1.7 | 5.978 | 0.007 | -1.7 | 2.9 | 1.27 | 1.60 | 25.28 | 4
59609.8721 | -4.1 | 1.5 | 5.969 | 0.008 | -5.7 | 2.8 | 6.21 | 1.46 | 25.34 | 4
Table 10: SPIRou RVs and activity indicators continued. 202020

##  Appendix B Longitudinal magnetic field $B_{\ell}$ GP posteriors

The posterior distributions of the GP model applied in the longitudinal
magnetic field are shown in Figure 14.

Figure 14: Corner plot of the GP hyper-parameters on the $B_{\ell}$ time
series sampled from our MCMC framework generated with the corner Python
package (Foreman-Mackey 2016). The blue line over the posterior distributions
indicates the mean and the dashed lines, the 0.16 and 0.84 quantiles
uncertainties.

##  Appendix C ZDI inversion of the Stokes $V$ LSD profiles

The best ZDI fit to the time series of Stokes $V$ LSD profiles observed in
September–December 2019, August–October 2020, August–September 2021, and
November 2021 – January 2022, are shown in Figure 15 and Figure 16.

Figure 15: Stokes $V$ LSD profiles (thin black lines) and best-fitting ZDI
profiles (thick red lines). Profiles observed between September and December
2019 (Season S1 in Table 4) are shown on the left-hand panel whereas the
profiles observed between August and October 2020 (Season S2 in Table 4) are
shown in the right-hand panel. The stellar rotation cycle, computed using the
first observation (BJD = 2 458 738.128) as a reference time and assuming a
rotation period of 34.4 d (see Table 3), are given on the right-hand side of
each observation. The $\pm$1$\sigma$ error bars are indicated on the left-hand
side of each profile.

Figure 16: Same as Figure 15, but for the observations collected in Season 3
(August to September 2021, left-hand panel), and Season 4 (November 2021 and
January 2022, right-hand panel). Note that we use the same rotation period and
reference time as in Figure 15 to compute the stellar rotation phases.

##  Appendix D Activity indicators periodograms

The GLS periodograms of all the SOPHIE and SPIRou activity indicators, for
each of the three subset of observations S${}^{RV}_{1}$, S${}^{RV}_{2}$, and
S${}^{RV}_{3}$, are shown in Figures 17 and 18.

Figure 17: Generalized Lomb-Scargle periodograms of the SOPHIE RVs, activity
indicators, and window function of the three seasons of RVs observations:
S${}^{RV}_{1}$, S${}^{RV}_{2}$, and S${}^{RV}_{3}$. The vertical color lines
mark the $P_{\rm rot}$ at 34.4 d in yellow, the first harmonic at $P_{\rm
rot}/2$ in light blue and the time range of differential rotation in light
green between $P_{\rm eq}=32.0$ d and $P_{\rm pol}=45.5$ d. The black
horizontal lines indicate the false-alarm probability (FAP) levels of 10%
(solid), 1% (dashed), and 0.1% (dotted). Figure 18: Same as Figure 17 for
SPIRou data.

##  Appendix E GP model of the activity indicators time series

The best-fit hyper-parameters of the GP model applied in the SOPHIE and SPIRou
activity indicators are listed in Table 11. In Figures 19 and 20 are shown the
best GP model for each activity indicators, and in Figures 21, 22, and 23 the
corner plots of the posterior distributions.

Table 11: Best-fit hyper-parameters of the GP model using a quasi-periodic kernel in the SOPHIE and SPIRou activity indicators. | SOPHIE Posteriors | SPIRou Posteriors
---|---|---
Parameter | FWHM | contrast | BIS | S index |  H$\alpha$ |  FWHMLBL | chromatic | pEW K | pEW Ti | pEW Al | pEW Fe | pEW He
|  |  |  |  |  |  | velocity slope |  |  |  |  |
| km s-1 | % CCF |  m s-1 |  |  | km s-1 |  m s-1 | Å | Å | Å | Å | Å
mean value $\mu$ | $4.82\pm 0.02$ | $21.6\pm 0.3$ | $11.7\pm 0.9$ | $1.73\pm 0.6$ | $0.265\pm 0.005$ | $5.945\pm 0.005$ | $-1.1\pm 3.6$ | $0.403\pm 0.005$ | $0.289\pm 0.002$ | $1.48\pm 0.02$ | $0.71\pm 0.01$ | $0.83\pm 0.01$
jitter $\sigma$ | $0.04\pm 0.05$ | $0.37\pm 0.05$ | $1.8\pm 0.8$ | $0.09\pm 0.01$ | $0.007\pm 0.001$ | $0.021\pm 0.002$ | $4.9\pm 0.5$ | $0.0111\pm 0.0008$ | $0.008\pm 0.001$ | $0.043\pm 0.004$ | $0.011\pm 0.001$ | $0.039\pm 0.003$
amplitude $\alpha$ | $0.04\pm 0.01$ | $0.63\pm 0.16$ | $2.3\pm 1.1$ | $0.14\pm 0.4$ | $0.014\pm 0.003$ | $0.015\pm 0.005$ | $8.7\pm 2.0$ | $0.013\pm 0.004$ | $0.005\pm 0.002$ | $0.08\pm 0.02$ | $0.015\pm 0.003$ | $0.03\pm 0.01$
decay time $l$ [d] | $82\pm 36$ | $48^{+24}_{-10}$ | $96\pm 38$ | $67^{+34}_{-21}$ | $88^{+38}_{-27}$ | $71^{+55}_{-29}$ | $71^{+40}_{-22}$ | $62\pm 24$ | $81\pm 35$ | $51^{+29}_{-12}$ | $41\pm 8$ | $77\pm 35$
smoothing factor $\beta$ | $1.5\pm 0.4$ | $1.6\pm 0.3$ | $0.7\pm 0.5$ | $1.4\pm 0.4$ | $0.7\pm 0.3$ | $0.5\pm 0.4$ | $1.3\pm 0.4$ | $1.5\pm 0.4$ | $1.3\pm 0.5$ | $0.6\pm 0.2$ | $1.7\pm 0.3$ | $1.2\pm 0.6$
rotation period $P_{\rm rot}$ [d] | $32.1\pm 3.9$ | $37.4\pm 3.5$ | $36.7\pm 3.5$ | $33.8\pm 4.4$ | $37\pm 2.3$ | $36.7\pm 4.1$ | $37.1\pm 4.5$ | $42.2\pm 4.9$ | $37.1\pm 6.3$ | $37.9\pm 2.1$ | $36.9\pm 7.0$ | $27.0\pm 4.9$
RMS of residuals | 0.03 | 0.31 | 2.8 | 0.07 | 0.005 | 0.02 | 5.6 | 0.01 | 0.01 | 0.04 | 0.01 | 0.04
$\chi^{2}$ | 12.1 | 10.7 | 1.3 | 1.8 | 23.4 | 7.1 | 2.7 | 63.6 | 23.1 | 282 | 28.6 | 158.5

Figure 19: Time series of the SOPHIE RVs, FWHM, CCF contrast, BIS, S index,
and H$\alpha$. The GP model of each time series is shown in color blue with
the 3$\sigma$ uncertainties in light-blue.

Figure 20: Time series of the SPIRou longitudinal magnetic field $B_{\ell}$,
RVs, FWHMLBL, chromatic velocity slope, and the pEW of K 1, Ti 1, Al 1, Fe 1,
and He 1. The GP model of each time series is shown in color red with the
3$\sigma$ uncertainties in ligth-red. Figure 21: Corner plot of the posterior
distributions of the GP regression applied in the SOPHIE RVs, H$\alpha$, BIS,
S index, CCF contrast, and FWHM, independently. Figure 22: Corner plot of the
posterior distributions of the GP regression applied in the SPIRou RVs, FWHM,
chromatic velocity slope, Al 1, Ti 1, independently. Figure 23: Same as Figure
22, but for Fe 1 and He 1.

##  Appendix F Multi-dimensional GP corner plots

The posterior distributions of the multi-dimensional GP model applied in the
SOPHIE and SPIRou data are shown in Figures 24 and 25.

Figure 24: Corner plot with the posterior distributions of the multi-
dimensional GP applied in the SOPHIE RVs, H$\alpha$, and BIS time series.
Figure 25: Corner plot with the posterior distributions of the multi-
dimensional GP applied in the SPIRou RVs and FWHMLBL time series.