Characterisation of starspot structure and differential rotation of Kepler-411

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Table 5.

Selected spot parameters.

Data	Spot	P	A′	ψ	ω	Status
		(days)	(10⁻³)	(rad)	(rad)
S834	1	10.996 $_{- 0.163}^{+ 0.097}$ $Mathematical equation: $ _{-0.163}^{+0.097} $$	105.8 $_{- 75.0}^{+ 89.3}$ $Mathematical equation: $ _{-75.0}^{+89.3} $$	1.173 $_{- 0.376}^{+ 0.188}$ $Mathematical equation: $ _{-0.376}^{+0.188} $$	4.692 $_{- 0.057}^{+ 0.054}$ $Mathematical equation: $ _{-0.057}^{+0.054} $$	D
S834	2	10.632 $_{- 0.239}^{+ 0.159}$ $Mathematical equation: $ _{-0.239}^{+0.159} $$	51.6 $_{- 58.2}^{+ 149.6}$ $Mathematical equation: $ _{-58.2}^{+149.6} $$	0.774 $_{- 0.660}^{+ 0.858}$ $Mathematical equation: $ _{-0.660}^{+0.858} $$	1.788 $_{- 0.268}^{+ 0.171}$ $Mathematical equation: $ _{-0.268}^{+0.171} $$	I
S834	3	10.481 $_{- 0.047}^{+ 0.067}$ $Mathematical equation: $ _{-0.047}^{+0.067} $$	24.0 $_{- 12.4}^{+ 92.6}$ $Mathematical equation: $ _{-12.4}^{+92.6} $$	0.274 $_{- 0.262}^{+ 1.133}$ $Mathematical equation: $ _{-0.262}^{+1.133} $$	2.501 $_{- 0.030}^{+ 0.039}$ $Mathematical equation: $ _{-0.030}^{+0.039} $$	C
S834	4	11.174 $_{- 0.304}^{+ 0.170}$ $Mathematical equation: $ _{-0.304}^{+0.170} $$	77.1 $_{- 63.5}^{+ 72.6}$ $Mathematical equation: $ _{-63.5}^{+72.6} $$	0.997 $_{- 0.747}^{+ 0.342}$ $Mathematical equation: $ _{-0.747}^{+0.342} $$	5.842 $_{- 0.089}^{+ 0.113}$ $Mathematical equation: $ _{-0.089}^{+0.113} $$	C
S834	5	10.620 $_{- 0.225}^{+ 0.193}$ $Mathematical equation: $ _{-0.225}^{+0.193} $$	41.7 $_{- 34.1}^{+ 25.9}$ $Mathematical equation: $ _{-34.1}^{+25.9} $$	0.737 $_{- 0.717}^{+ 0.485}$ $Mathematical equation: $ _{-0.717}^{+0.485} $$	6.063 $_{- 0.272}^{+ 0.196}$ $Mathematical equation: $ _{-0.272}^{+0.196} $$	I
S1034	1	10.584 $_{- 0.063}^{+ 0.072}$ $Mathematical equation: $ _{-0.063}^{+0.072} $$	15.0 $_{- 11.4}^{+ 16.5}$ $Mathematical equation: $ _{-11.4}^{+16.5} $$	0.202 $_{- 0.179}^{+ 0.348}$ $Mathematical equation: $ _{-0.179}^{+0.348} $$	4.313 $_{- 0.028}^{+ 0.043}$ $Mathematical equation: $ _{-0.028}^{+0.043} $$	D
S1034	2	10.458 $_{- 0.138}^{+ 0.128}$ $Mathematical equation: $ _{-0.138}^{+0.128} $$	178.6 $_{- 38.5}^{+ 21.2}$ $Mathematical equation: $ _{-38.5}^{+21.2} $$	1.430 $_{- 0.049}^{+ 0.031}$ $Mathematical equation: $ _{-0.049}^{+0.031} $$	0.369 $_{- 0.213}^{+ 0.190}$ $Mathematical equation: $ _{-0.213}^{+0.190} $$	I
S1034	3	10.679 $_{- 0.030}^{+ 0.046}$ $Mathematical equation: $ _{-0.030}^{+0.046} $$	82.9 $_{- 45.9}^{+ 97.8}$ $Mathematical equation: $ _{-45.9}^{+97.8} $$	1.232 $_{- 0.149}^{+ 0.160}$ $Mathematical equation: $ _{-0.149}^{+0.160} $$	2.100 $_{- 0.034}^{+ 0.038}$ $Mathematical equation: $ _{-0.034}^{+0.038} $$	C
S1034	4	10.660 $_{- 0.196}^{+ 0.236}$ $Mathematical equation: $ _{-0.196}^{+0.236} $$	57.3 $_{- 31.4}^{+ 32.6}$ $Mathematical equation: $ _{-31.4}^{+32.6} $$	1.128 $_{- 0.252}^{+ 0.150}$ $Mathematical equation: $ _{-0.252}^{+0.150} $$	4.830 $_{- 0.256}^{+ 0.320}$ $Mathematical equation: $ _{-0.256}^{+0.320} $$	I
S1034	5	10.669 $_{- 0.084}^{+ 0.130}$ $Mathematical equation: $ _{-0.084}^{+0.130} $$	32.2 $_{- 23.1}^{+ 35.9}$ $Mathematical equation: $ _{-23.1}^{+35.9} $$	0.968 $_{- 0.273}^{+ 0.363}$ $Mathematical equation: $ _{-0.273}^{+0.363} $$	1.033 $_{- 0.083}^{+ 0.090}$ $Mathematical equation: $ _{-0.083}^{+0.090} $$	C
S1069	1	10.584 $_{- 0.063}^{+ 0.072}$ $Mathematical equation: $ _{-0.063}^{+0.072} $$	14.2 $_{- 1.3}^{+ 2.7}$ $Mathematical equation: $ _{-1.3}^{+2.7} $$	0.250 $_{- 0.197}^{+ 0.253}$ $Mathematical equation: $ _{-0.197}^{+0.253} $$	4.157 $_{- 0.021}^{+ 0.025}$ $Mathematical equation: $ _{-0.021}^{+0.025} $$	C
S1069	2	10.361 $_{- 0.020}^{+ 0.021}$ $Mathematical equation: $ _{-0.020}^{+0.021} $$	90.0 $_{- 28.3}^{+ 36.9}$ $Mathematical equation: $ _{-28.3}^{+36.9} $$	1.286 $_{- 0.069}^{+ 0.060}$ $Mathematical equation: $ _{-0.069}^{+0.060} $$	0.475 $_{- 0.011}^{+ 0.010}$ $Mathematical equation: $ _{-0.011}^{+0.010} $$	C
S1069	3	10.308 $_{- 0.012}^{+ 0.011}$ $Mathematical equation: $ _{-0.012}^{+0.011} $$	110.9 $_{- 35.2}^{+ 52.6}$ $Mathematical equation: $ _{-35.2}^{+52.6} $$	1.389 $_{- 0.055}^{+ 0.050}$ $Mathematical equation: $ _{-0.055}^{+0.050} $$	2.160 $_{- 0.089}^{+ 0.093}$ $Mathematical equation: $ _{-0.089}^{+0.093} $$	I
S1069	4	9.919 $_{- 0.050}^{+ 0.055}$ $Mathematical equation: $ _{-0.050}^{+0.055} $$	137.4 $_{- 34.4}^{+ 22.0}$ $Mathematical equation: $ _{-34.4}^{+22.0} $$	1.361 $_{- 0.036}^{+ 0.027}$ $Mathematical equation: $ _{-0.036}^{+0.027} $$	2.747 $_{- 0.035}^{+ 0.035}$ $Mathematical equation: $ _{-0.035}^{+0.035} $$	C
S1234	1	10.677 $_{- 0.049}^{+ 0.054}$ $Mathematical equation: $ _{-0.049}^{+0.054} $$	7.0 $_{- 4.1}^{+ 13.4}$ $Mathematical equation: $ _{-4.1}^{+13.4} $$	0.584 $_{- 0.418}^{+ 0.517}$ $Mathematical equation: $ _{-0.418}^{+0.517} $$	5.611 $_{- 0.056}^{+ 0.052}$ $Mathematical equation: $ _{-0.056}^{+0.052} $$	C
S1234	2	9.885 $_{- 0.049}^{+ 0.045}$ $Mathematical equation: $ _{-0.049}^{+0.045} $$	10.9 $_{- 3.7}^{+ 5.2}$ $Mathematical equation: $ _{-3.7}^{+5.2} $$	0.431 $_{- 0.410}^{+ 0.344}$ $Mathematical equation: $ _{-0.410}^{+0.344} $$	0.821 $_{- 0.037}^{+ 0.043}$ $Mathematical equation: $ _{-0.037}^{+0.043} $$	D
S1234	3	11.154 $_{- 0.033}^{+ 0.036}$ $Mathematical equation: $ _{-0.033}^{+0.036} $$	56.0 $_{- 45.8}^{+ 124.4}$ $Mathematical equation: $ _{-45.8}^{+124.4} $$	0.811 $_{- 0.781}^{+ 0.520}$ $Mathematical equation: $ _{-0.781}^{+0.520} $$	2.800 $_{- 0.028}^{+ 0.030}$ $Mathematical equation: $ _{-0.028}^{+0.030} $$	C
S1234	4	10.275 $_{- 0.043}^{+ 0.051}$ $Mathematical equation: $ _{-0.043}^{+0.051} $$	104.4 $_{- 92.3}^{+ 55.4}$ $Mathematical equation: $ _{-92.3}^{+55.4} $$	1.041 $_{- 0.962}^{+ 0.259}$ $Mathematical equation: $ _{-0.962}^{+0.259} $$	2.534 $_{- 0.048}^{+ 0.052}$ $Mathematical equation: $ _{-0.048}^{+0.052} $$	I
S1234	5	10.275 $_{- 0.020}^{+ 0.017}$ $Mathematical equation: $ _{-0.020}^{+0.017} $$	106.5 $_{- 92.1}^{+ 23.6}$ $Mathematical equation: $ _{-92.1}^{+23.6} $$	1.089 $_{- 0.701}^{+ 0.173}$ $Mathematical equation: $ _{-0.701}^{+0.173} $$	3.925 $_{- 0.022}^{+ 0.021}$ $Mathematical equation: $ _{-0.022}^{+0.021} $$	C

Notes. The status of the spot is denoted as increasing (I), constant (C) or decreasing (D), indicating at which phase of the envelope the spot is found. The status is considered “constant” if there are no changes in excess of 20% in the spot amplitude over the data baseline. The longitudes are defined with respect to t₀ of each data subset and are thus not comparable for different subsets.

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