Rotational modulation and long-term evolution of the small-scale magnetic fields of M dwarfs observed with SPIRou

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Volume 702 (October 2025)

A&A, 702 (2025) A111

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Table A.6

Same as Table A.1 but for CN Leo (Gl 406).

CN Leo	Value	Prior
GP fit on 〈B〉
μ (kG)	${3.30}_{- 0.06}^{+ 0.06}$ $3.30^{+0.06}_{-0.06}$	𝒰(−10, 10)
σ (kG)	${0.01}_{- 0.01}^{+ 0.01}$ $0.01^{+0.01}_{-0.01}$	𝒰(0, 1000)
α (kG)	${0.09}_{- 0.02}^{+ 0.03}$ $0.09^{+0.03}_{-0.02}$	𝒰(0, 10)
l (d)	300	Fixed
β	1.50	Fixed
P_rot (d)	2.694^*	G(2.70, 0.30)
χ²_r	0.89
RMS	0.15 (kG)
GP fit on B_ℓ
μ_ℓ (G)	$- {622.91}_{- 104.48}^{+ 93.31}$ $-622.91^{+93.31}_{-104.48}$	𝒰(−1000, 1000)
σ_ℓ (G)	${7.70}_{- 8.05}^{+ 8.55}$ $7.70^{+8.55}_{-8.05}$	𝒰(0, 1000)
α_ℓ (G)	${107.30}_{- 76.88}^{+ 138.78}$ $107.30^{+138.78}_{-76.88}$	𝒰(0, 1000)
l_ℓ (d)	$99_{- 49}^{+ 35}$ $99^{+35}_{-49}$	𝒰(10, 500)
β_ℓ	${1.74}_{- 1.36}^{+ 2.56}$ $1.74^{+2.56}_{-1.36}$	𝒰(0, 10)
P_rot,ℓ (d)	${2.696}_{- 0.006}^{+ 0.004}$ $2.696^{+0.004}_{-0.006}$	𝒰(2, 4)
χ²_{r, ℓ}	0.88
RMS_ℓ	53.53 (G)
GP fit on 〈B〉 and B_ℓ
μ (kG)	${3.31}_{- 0.20}^{+ 0.19}$ $3.31^{+0.19}_{-0.20}$	𝒰(−10, 10)
σ (kG)	${0.01}_{- 0.01}^{+ 0.01}$ $0.01^{+0.01}_{-0.01}$	𝒰(0, 1000)
α (kG)	${0.17}_{- 0.12}^{+ 0.22}$ $0.17^{+0.22}_{-0.12}$	𝒰(0, 10)
l (d)	$498_{- 221}^{+ 263}$ $498^{+263}_{-221}$	𝒰(10, 1000)
β	${7.56}_{- 5.48}^{+ 5.85}$ $7.56^{+5.85}_{-5.48}$	𝒰(0, 20)
P_rot (d)	${2.700}_{- 0.004}^{+ 0.002}$ $2.700^{+0.002}_{-0.004}$	𝒰(2, 5)
μ_ℓ (G)	$- {649.35}_{- 116.08}^{+ 103.79}$ $-649.35^{+103.79}_{-116.08}$	𝒰(−1000, 1000)
σ_ℓ (G)	${10.26}_{- 8.98}^{+ 9.54}$ $10.26^{+9.54}_{-8.98}$	𝒰(0, 1000)
α_ℓ (G)	${163.57}_{- 88.07}^{+ 157.74}$ $163.57^{+157.74}_{-88.07}$	𝒰(0, 1000)
l_ℓ (d)	$151_{- 42}^{+ 34}$ $151^{+34}_{-42}$	𝒰(10, 1000)
β_ℓ	${2.78}_{- 1.59}^{+ 2.64}$ $2.78^{+2.64}_{-1.59}$	𝒰(0, 10)
χ²_r	0.93
χ²_{r, ℓ}	0.94
RMS	0.15 (kG)
RMS_ℓ	54.59 (G)
GP fit on dTemp
μ_dTemp (K)	${0.20}_{- 0.43}^{+ 0.43}$ $0.20^{+0.43}_{-0.43}$	𝒰(−1000, 1000)
σ_dTemp (K)	${0.68}_{- 0.35}^{+ 0.28}$ $0.68^{+0.28}_{-0.35}$	𝒰(0, 1000)
α_dTemp (K)	${1.53}_{- 0.29}^{+ 0.36}$ $1.53^{+0.36}_{-0.29}$	𝒰(0, 1000)
l_dTemp (d)	$45_{- 13}^{+ 15}$ $45^{+15}_{-13}$	𝒰(10, 500)
β_dTemp	1.00	Fixed
P_{rot, dTemp} (d)	${3.003}_{- 0.536}^{+ 0.031}$ $3.003^{+0.031}_{-0.536}$	G(2.70, 0.30)
χ²_{r, dTemp}	1.02
RMS_dTemp	1.78 (K)

Notes. ^*Value corresponding to the maximum of likelihood in the posterior distribution. The posterior distribution shows multiple peaks that does not allow us to extract statisfactory error bars.

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