Flare frequency in M dwarfs belonging to young moving groups

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Table B.1.

Broken power law coefficient for the mass-period binned sample of young and field stars.

	M_⋆< 0.11M_⊙

Period range (days)	α_{1 ini}	α₁	α₂	x_break
P_rot< 0.6	1.459	1.360±0.003	2.007±0.004	10.333±0.055
0.6< P_rot< 1.85	1.644	1.673±0.006	1.827±0.004	3.197±0.101
1.85< P_rot< 4.0	1.500	1.58¹	1.48¹	7.11¹
4.0< P_rot< 7.0	1.500	1.633±0.002	2.171±0.018	21.365±0.381

	0.11≤M_⋆< 0.3M_⊙

P_rot < 0.6	1.491	1.466±0.002	1.891±0.003	5.016±0.032
0.6< P_rot < 1.85	1.435	1.388±0.002	1.786±0.002	4.396±0.027
1.85< P_rot < 4.0	1.420	1.244±0.002	1.757±0.000	0.806±0.001
4.0< P_rot < 7.0	1.382	1.528±0.004	1.429±0.008	12.163±1.498
7.0< P_rot < 30.0	1.354	1.166±0.018	2.066±0.013	1.482±0.023
30.0< P_rot	1.300

	0.3≤< M_⋆< 0.45 M_⊙

P_rot< 0.6	1.376	1.487±0.004	1.987±0.005	10.008±0.076
0.6< P_rot< 1.85	1.374	1.288±0.002	1.727±0.005	13.958±0.148
1.85< P_rot< 4.0	1.290	1.296±0.002	2.196±0.004	2.547±0.008
4.0< P_rot< 7.0	1.471	1.586±0.001	1.943±0.139	61.617±13.294
7.0< P_rot< 30.0	1.484	1.288±0.006	1.738±0.003	1.552±0.016
30.0< P_rot	1.258	1.318±0.001	2.237±0.001	0.724±0.001

	M_⋆≥0.45M_⊙

P_rot < 0.6	1.326	1.171±0.004	1.645±0.002	3.067±0.022
0.6< P_rot < 1.85	1.224	1.286±0.002	1.761±0.004	6.822±0.056
1.85< P_rot < 4.0	1.139	1.138±0.001	2.051±0.001	1.490±0.001
4.0< P_rot < 7.0	1.492	1.378±0.001	1.697±0.001	2.358±0.011
7.0< P_rot < 30.0	1.060	1.099±0.001	2.356±0.001	0.916±0.000
30.0< P_rot	1.500	1.537±0.014	2.330±0.026	0.604±0.010

Notes. (1) These values were calculated with SimplexLSQFitter, which while effective for optimization, lacks a formal error estimation and operates without derivatives.

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