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.2

Same as Table A.1 but for AD Leo (Gl 388).

AD Leo	Value	Prior
GP fit on 〈B〉
μ (kG)	${3.22}_{- 0.07}^{+ 0.08}$ $3.22^{+0.08}_{-0.07}$	𝒰(−10, 10)
σ (kG)	${0.01}_{- 0.01}^{+ 0.01}$ $0.01^{+0.01}_{-0.01}$	𝒰(0, 1000)
α (kG)	${0.09}_{- 0.04}^{+ 0.07}$ $0.09^{+0.07}_{-0.04}$	𝒰(0, 10)
l (d)	300	Fixed
β	1.50	Fixed
P_rot (d)	${2.232}_{- 0.148}^{+ 0.095}$ $2.232^{+0.095}_{-0.148}$	G(2.23, 0.20)
χ²_r	0.74
RMS	0.05 (kG)
GP fit on B_ℓ
μ_ℓ (G)	$- {164.94}_{- 131.02}^{+ 118.82}$ $-164.94^{+118.82}_{-131.02}$	𝒰(−1000, 1000)
σ_ℓ (G)	${5.02}_{- 3.58}^{+ 3.50}$ $5.02^{+3.50}_{-3.58}$	𝒰(0, 1000)
α_ℓ (G)	${79.87}_{- 68.58}^{+ 114.76}$ $79.87^{+114.76}_{-68.58}$	𝒰(0, 1000)
l_ℓ (d)	$254_{- 93}^{+ 105}$ $254^{+105}_{-93}$	𝒰(10, 500)
β_ℓ	${1.42}_{- 0.94}^{+ 1.32}$ $1.42^{+1.32}_{-0.94}$	𝒰(0, 5)
P_{rot, ℓ} (d)	${2.230}_{- 0.001}^{+ 0.001}$ $2.230^{+0.001}_{-0.001}$	𝒰(2, 5)
χ²_{r, ℓ}	0.94
RMS_ℓ	15.58 (G)
GP fit on 〈B〉 and B_ℓ
μ (kG)	${3.22}_{- 0.08}^{+ 0.08}$ $3.22^{+0.08}_{-0.08}$	𝒰(−10, 10)
σ (kG)	${0.02}_{- 0.01}^{+ 0.01}$ $0.02^{+0.01}_{-0.01}$	𝒰(0, 1000)
α (kG)	${0.09}_{- 0.04}^{+ 0.07}$ $0.09^{+0.07}_{-0.04}$	𝒰(0, 10)
l (d)	300	Fixed
β	1.50	Fixed
P_rot (d)	${2.230}_{- 0.001}^{+ 0.001}$ $2.230^{+0.001}_{-0.001}$	𝒰(1, 5)
μ_ℓ (G)	$- {157.84}_{- 147.75}^{+ 134.94}$ $-157.84^{+134.94}_{-147.75}$	𝒰(−1000, 1000)
σ_ℓ (G)	${5.74}_{- 3.89}^{+ 3.49}$ $5.74^{+3.49}_{-3.89}$	𝒰(0, 1000)
α_ℓ (G)	${98.77}_{- 85.53}^{+ 157.32}$ $98.77^{+157.32}_{-85.53}$	𝒰(0, 1000)
l_ℓ (d)	$282_{- 111}^{+ 157}$ $282^{+157}_{-111}$	𝒰(10, 800)
β_ℓ	${1.67}_{- 1.05}^{+ 1.45}$ $1.67^{+1.45}_{-1.05}$	𝒰(0, 5)
χ²_r	0.75
χ²_{r, ℓ}	0.81
RMS	0.05 (kG)
RMS_ℓ	14.75 (G)
GP fit on dTemp
μ_dTemp (K)	${0.21}_{- 1.17}^{+ 1.17}$ $0.21^{+1.17}_{-1.17}$	𝒰(−20, 20)
σ_dTemp (K)	${0.49}_{- 0.24}^{+ 0.20}$ $0.49^{+0.20}_{-0.24}$	𝒰(0, 1000)
α_dTemp (K)	${2.60}_{- 0.51}^{+ 0.68}$ $2.60^{+0.68}_{-0.51}$	𝒰(0, 20)
l_dTemp (d)	$82_{- 25}^{+ 24}$ $82^{+24}_{-25}$	𝒰(10, 400)
β_dTemp	1.50	Fixed
P_{rot, dTemp} (d)	${2.227}_{- 0.015}^{+ 0.010}$ $2.227^{+0.010}_{-0.015}$	G(2.30, 0.20)
χ²_{r, dTemp}	1.01
RMS_dTemp	0.89 (K)

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