The Period-Luminosity Relations of Red Supergiants in M33 and M31

Yi Ren (1); B. W. Jiang (1); Ming Yang (2); Jian Gao (1) ((1); Department of Astronomy; Beijing Normal University; (2) Institute for; Astronomy; Astrophysics; Space Applications & Remote Sensing; National; Observatory of Athens)

arXiv:1902.07597·astro-ph.SR·April 24, 2019

The Period-Luminosity Relations of Red Supergiants in M33 and M31

Yi Ren (1), B. W. Jiang (1), Ming Yang (2), Jian Gao (1) ((1), Department of Astronomy, Beijing Normal University, (2) Institute for, Astronomy, Astrophysics, Space Applications & Remote Sensing, National, Observatory of Athens)

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TL;DR

This study analyzes the period-luminosity relations of Red Supergiants in M33 and M31, identifying pulsation modes and examining how metallicity affects pulsation characteristics, using extensive time-series infrared and optical data.

Contribution

It provides the first detailed analysis of RSG P-L relations in M33 and M31, including mode classification and the impact of metallicity on pulsation modes.

Findings

01

P-L relations are tight in infrared bands.

02

Inhomogeneous extinction affects optical P-L relations.

03

The ratio of fundamental to overtone pulsators increases with metallicity.

Abstract

Based on previously selected preliminary samples of Red Supergiants (RSGs) in M33 and M31, the foreground stars and luminous Asymptotic Giant Branch stars (AGBs) are further excluded, which leads to the samples of 717 RSGs in M33 and 420 RSGs in M31. With the time-series data from the iPTF survey spanning nearly 2000 days, the period and amplitude of RSGs are analyzed. According to the lightcurves characteristics, they are classified into four categories in which 84 and 56 objects in M33 and M31 respectively are semi-regular variables. For these semi-regular variables, the pulsation mode is identified by comparing with the theoretical model, which yielded 19 (7) sources in the first overtone mode in M33 (M31), and the other 65 (49) RSGs in M33 (M31) in the fundamental mode. The period-luminosity (P-L) relation is analyzed for the RSGs in the fundamental mode. It is found the P-L…

Tables6

Table 1. Table 1: Linear fit results between the bolometric magnitude and the multiband magnitude from RSG candidates in M33. The fitting form follows by m ( λ ) = a ∗ m bol ( λ ) + b 𝑚 𝜆 𝑎 subscript 𝑚 bol 𝜆 𝑏 m(\lambda)=a*m_{\rm bol}(\lambda)+b

Band	Slope	Intercept	Correlation	$m_{\max}$	$m_{\min}$
$J$	1.09	-2.90	0.95	13.54	18.73
$H$	1.09	-3.71	0.94	12.73	17.93
$K_{S}$	1.15	-5.13	0.97	12.28	17.79
$[3.6]$	1.25	-6.80	0.86	12.02	17.97
$[4.5]$	1.32	-7.87	0.85	12.06	18.36
$[5.8]$	1.41	-9.75	0.79	11.46	18.17
$[8.0]$	1.34	-9.57	0.58	10.61	16.99
$[24]$	1.09	-7.55	0.45	8.84	14.02

Table 2. Table 3: The parameters used for the period determination

Input parameters	GLS	DFT	WWZ	PDM
Minimum period	10	10	10	10
Maximum period	3500	3500	–	3500
Period step	0.01	0.01	–	0.50
Time-Shift step	–	–	20	–
Frequency sampling	–	–	0.5714	–
Software	VARTOOLS	VARTOOLS	VARTOOLS	PyAstronomy

Table 3. Table 4: The parameters of the P-L relations of RSGs in M33

Band	Slope	Intercept	Correlation
$M_{V}$	-0.23	-4.99	-0.07
$M_{J}$	-2.69	-2.08	-0.79
$M_{H}$	-3.02	-1.99	-0.84
$M_{K_{S}}$	-3.18	-1.87	-0.85
$M_{[3.6]}$	-3.84	-0.24	-0.85
$M_{[4.5]}$	-4.15	0.73	-0.82
$M_{[5.8]}$	-4.57	1.42	-0.82
$M_{[8.0]}$	-5.01	1.74	-0.75
$M_{[24]}$	-6.32	3.31	-0.73
$W_{B V}$	-2.01	-6.40	-0.46

Table 4. Table 5: The parameters of the P-L relations of RSGs in M31

Band	Slope	Intercept	Correlation
$M_{V}$	-0.17	-4.68	-0.07
$M_{J}$	-2.69	-1.97	-0.92
$M_{H}$	-2.90	-2.25	-0.91
$M_{K_{S}}$	-3.01	-2.29	-0.92
$M_{[3.6]}$	-3.11	-2.36	-0.87
$M_{[4.5]}$	-3.26	-1.92	-0.80
$M_{[5.8]}$	-3.51	-1.52	-0.83
$M_{[8.0]}$	-4.22	-0.10	-0.74
$M_{[24]}$	-4.11	-2.73	-0.63
$W_{B V}$	-1.94	-6.59	-0.48

Table 5. Table 6: Parameters of RSGs in M33

ID	LGGS	…	J	H	Ks	GLS	DFT	PDM	WWZ	Period	GLS-2	DFT-2	PDM-2	WWZ-2	Period-2	Amplitude	type	RMS
1	J013147.31+302659.0	…	16.72	15.982	15.786	–	–	–	–	–	–	–	–	–	–	–	–	–
2	J013209.23+302614.8	…	16.671	15.812	15.293	–	–	–	–	–	–	–	–	–	–	–	–	–
3	J013213.60+304003.4	…	16.76	16.162	15.1	386.808	77.799	187.5	91.842	77.799	33.802	232.955	187.5	317.273	317.273	0.117	U	0.1421
4	J013220.36+302938.0	…	–	–	–	881.409	793.248	1782.5	875	793.248	12.901	134.165	386	125	134.165	0.023	N	0.0715
5	J013222.59+302741.8	…	16.669	15.746	15.77	34.058	15.841	2099	3500	15.841	3461.532	31.483	2099	1166.667	31.483	0.017	N	0.0743
6	J013223.56+303516.1	…	16.706	15.863	15.113	71.546	444.812	1265	3500	3500	71.439	71.277	143	583.333	71.439	0.038	N	0.0727
7	J013223.63+302854.8	…	16.746	15.832	16.098	443.786	455.454	1033	1166.667	455.454	15.622	14.17	1033	250	14.17	0.028	N	0.0725
8	J013224.33+303155.5	…	16.742	16.114	15.572	14.446	121.03	305	318.182	121.03	118.619	312.61	305	700	312.61	0.022	N	0.0628
9	J013226.49+303514.8	…	16.178	15.41	15.013	10.267	1586.496	2080	1750	2080	2069.394	131.933	392	269.231	131.933	0.122	L	0.075
10	J013227.63+303336.5	…	15.524	14.524	14.297	172.293	171.668	1033	350	172.293	120.42	266.265	1800.5	700	120.42	0.061	S	0.0632
11	J013228.73+303409.6	…	–	–	–	12.997	46.544	46	875	12.997	36.706	36.613	13.5	116.667	36.706	0.148	U	0.0626
12	J013228.82+303058.2	…	16.724	15.975	15.498	10.641	1140.004	1189	1166.667	1189	14.194	29.539	29.5	66.038	29.539	0.03	N	0.0672
13	J013228.83+303711.9	…	17.012	15.581	15.621	10.812	413.87	379	388.889	388.889	13.68	75.428	76	76.087	75.428	0.038	N	0.0629
14	J013228.94+303404.8	…	15.954	15.026	14.92	302.647	278.788	1217.5	290.833	302.647	11.882	11.888	64	1745	11.888	0.038	N	0.0768
15	J013229.05+303410.9	…	15.969	14.96	14.807	29.462	29.434	59	1750	29.434	66.521	1510.962	1454	1750	1750	0.077	N	0.1058
16	J013229.24+303417.4	…	16.894	16.242	15.897	14.325	224.839	225.5	700	225.5	110.803	692.746	113	700	113	0.041	U	0.0904
17	J013229.25+303506.1	…	16.299	15.358	15.156	12.723	1611.707	1652.5	3490	3490	79.975	209.68	437.5	698	209.68	0.161	N	0.0968
18	J013229.27+303620.8	…	16.228	15.221	15.108	1286.38	1379.558	1105.5	1166.667	1286.38	117.812	118.617	238	269.231	118.617	0.032	N	0.0587
19	J013229.64+302802.7	…	16.766	16.166	15.926	204.715	18.464	396.5	124.643	18.464	204.056	188.858	396.5	124.643	188.858	0.031	N	0.0673
20	J013229.64+303448.0	…	15.883	14.815	14.588	45.993	415.241	1004.5	436.25	415.241	46.171	71.496	1916.5	581.667	71.496	0.189	U	0.1803
21	J013229.81+303504.7	…	16.677	15.82	15.329	59.805	12.352	299	317.273	59.805	17.261	17.266	52	109.063	17.266	0.051	U	0.0922
22	J013230.47+303008.6	…	16.524	15.499	14.988	29.485	29.466	1105.5	134.615	29.466	27.58	26.53	1116.5	109.375	26.53	0.016	N	0.054
23	J013231.32+303354.8	…	16.66	15.653	15.533	19.955	921.982	299	872.5	921.982	14.21	100.287	299	102.647	100.287	0.036	N	0.0774
24	J013231.47+302911.3	…	17.185	15.888	15.498	32.415	1386.232	2149.5	1745	2149.5	12.841	66.348	197	205.294	66.348	0.057	N	0.0831
25	J013231.91+302329.1	…	14.986	14.138	13.976	295.26	292.605	883.5	290.833	295.26	849.836	944.251	975	872.5	849.836	0.095	S	0.0695
26	J013232.49+303521.8	…	15.672	14.663	14.459	3486.751	509.791	1672	583.333	3486.751	810.2	540.859	1683.5	700	810.2	0.189	U	0.0903
27	J013232.79+302721.7	…	16.02	15.121	14.901	29.535	228	643	1750	228	29.54	2047.083	1959	1750	1959	0.036	N	0.0659
28	J013232.98+302923.6	…	16.34	15.448	14.999	29.473	125.617	245.5	232.667	125.617	29.469	238.075	1120	698	698	0.046	N	0.0687
29	J013233.55+302543.1	…	16.577	16.025	15.792	30.067	216.341	643.5	218.75	216.341	214.156	346.145	551.5	3500	3500	0.174	S	0.1168
30	J013233.77+302718.8	…	14.57	13.633	13.31	710.788	740.379	1481	698	740.379	1994.559	354.094	1809.5	1745	1994.559	0.121	S	0.0828
31	J013233.93+302731.4	…	15.211	14.681	14.385	616.614	585.209	1396	387.778	616.614	171.914	173.742	351	349	173.742	0.039	N	0.0528
32	J013234.03+302903.6	…	–	–	–	386.221	288.102	299.5	1166.667	288.102	388.502	12.304	46	80.46	12.304	0.029	N	0.0862
33	J013234.68+303058.4	…	16.696	15.705	15.473	421.261	434.22	474	875	434.22	124.181	29.488	29.5	72.917	29.5	0.033	N	0.0861
34	J013235.06+302926.9	…	16.885	16.313	15.489	10.379	1173.131	1139	1166.667	1139	10.698	295.47	310.5	318.182	295.47	0.044	N	0.0707
35	J013235.71+304438.9	…	15.87	15.125	15.209	108.855	354.704	298	350	354.704	108.615	147.44	251.5	129.63	147.44	0.023	N	0.0563
36	J013235.83+303006.7	…	16.255	15.161	15.259	1121.267	1039.058	1189	872.5	1039.058	27.053	109.95	639.5	158.636	109.95	0.085	L	0.0776
37	J013236.66+303159.8	…	16.002	15.277	14.933	972.864	977.632	2095.5	872.5	972.864	3481.829	162.539	2251.5	3490	3490	0.03	N	0.0505
38	J013237.12+302400.8	…	17.136	16.366	15.943	14.838	1407.519	1247.5	1163.333	1247.5	14.837	18.034	733	120.345	18.034	0.028	N	0.0798
39	J013237.38+303000.8	…	16.617	15.629	15.277	1155.387	1401.208	1349.5	1166.667	1166.667	282.245	163.146	319.5	269.231	163.146	0.067	L	0.0832
40	J013237.47+301833.9	…	16.05	15.725	15.471	146.307	147.184	146.5	145.417	146.5	48.539	48.574	502.5	1745	48.574	0.299	S	0.0535
41	J013237.54+303031.4	…	16.599	15.804	15.43	1796.102	1688.619	1783	1750	1796.102	105.54	104.314	210.5	250	104.314	0.061	N	0.0987
42	J013238.98+304428.9	…	16.308	15.744	15.199	29.376	55.051	2214	3490	55.051	30.486	35.138	2214	3490	35.138	0.014	N	0.0623
43	J013239.65+303526.8	…	16.471	15.304	15.056	26.889	1984.6	1382.5	3490	3490	3481.829	248.697	788	698	248.697	0.05	N	0.0633
44	J013239.73+302343.2	…	16.793	16.054	15.571	24.762	160.437	319	268.462	160.437	34.071	1264.079	108	1163.333	1264.079	0.021	N	0.0628
45	J013239.87+302300.7	…	16.839	15.979	15.592	42.182	27.276	1221	1163.333	27.276	12.757	30.66	1221	387.778	30.66	0.024	N	0.0745
46	J013240.92+305336.6	…	15.781	14.927	14.976	1640.2	278.736	1592	1745	1640.2	275.262	283.92	264	232.667	283.92	0.05	L	0.0472
47	J013241.38+303709.8	…	15.713	14.806	14.633	426.805	411.743	438	436.25	411.743	225.528	232.934	988.5	218.125	218.125	0.095	S	0.0935
48	J013241.56+301437.2	…	16.529	15.649	15.442	76.398	1431.434	2007.5	3500	3500	3070.714	101.536	305.5	875	101.536	0.103	N	0.0731
49	J013242.55+310628.8	…	16.426	15.742	15.631	218.814	418.692	438	436.25	418.692	222.743	222.489	441.5	89.487	222.489	0.013	N	0.0479
50	J013242.81+302458.9	…	16.065	15.436	15.042	–	–	–	–	–	–	–	–	–	–	–	–	–
51	J013243.72+301912.5	…	15.409	14.413	14.109	581.746	526.845	1031	498.571	526.845	350.928	245.553	1350.5	698	698	0.178	S	0.0761
52	J013243.72+304005.2	…	16.779	15.936	15.811	409.205	1417.575	1167	698	409.205	15.521	1538.438	1292.5	3490	3490	0.037	N	0.0778
53	J013243.89+302320.0	…	16.272	15.416	15.011	122.132	820.082	773	872.5	820.082	17.79	142.88	272	166.19	142.88	0.037	N	0.0675
54	J013244.35+301937.0	…	16.544	15.522	15.251	401.749	103.743	372	268.462	103.743	400.938	41.346	379	387.778	387.778	0.021	N	0.0641
55	J013244.71+302510.9	…	16.373	15.566	15.284	501.172	109.889	1076.5	1745	109.889	108.273	945.046	1005	1745	1745	0.082	I	0.0925
56	J013245.08+302326.5	…	16.748	15.504	15.407	131.433	1459.258	243	872.5	872.5	20.871	120.718	243	120.345	120.718	0.026	N	0.0722
57	J013245.59+303518.7	…	14.772	13.961	13.654	3481.829	1837.593	1687	3490	3490	557.484	597.772	1174	581.667	557.484	0.276	L	0.0917
58	J013245.98+303944.8	…	16.506	15.69	15.476	131.958	507.57	1007.5	872.5	507.57	114.786	222.989	423	232.667	222.989	0.072	N	0.0941
59	J013246.40+304257.6	…	15.729	14.873	14.628	945.068	1550.46	1251	1745	1745	355.034	324.811	796.5	317.273	324.811	0.064	L	0.0679
60	J013246.45+303542.3	…	16.373	15.514	15.204	24.771	1407.519	1146	1163.333	1163.333	1256.103	599.578	1146	581.667	599.578	0.039	N	0.0721
61	J013246.59+303657.8	…	16.863	16.471	15.662	18.697	1096.467	1141.5	872.5	872.5	61.387	368.201	380.5	387.778	368.201	0.032	N	0.0722
62	J013247.05+310802.5	…	15.929	15.219	14.423	355.034	358.232	1115	387.778	358.232	219.54	21.289	1128.5	1163.333	21.289	0.018	N	0.0447
63	J013247.33+304525.5	…	16.336	15.486	15.227	14.292	1438.125	1218.5	1163.333	1438.125	14.292	393.771	406.5	387.778	387.778	0.047	N	0.0715
64	J013249.12+301604.8	…	16.446	15.559	15.324	11.444	27.431	48.5	99.714	27.431	15.378	13.198	16.5	110.794	13.198	0.076	U	0.0303
65	J013249.40+303908.7	…	16.855	15.981	15.841	35.408	99.18	390.5	151.739	99.18	35.644	36.711	375	1163.333	36.711	0.018	N	0.0694
66	J013250.71+302251.2	…	15.616	14.69	14.367	311.506	222.989	1136.5	436.25	222.989	228.382	529.227	1618.5	581.667	529.227	0.19	S	0.142
67	J013250.73+303925.3	…	16.936	16.334	15.524	526.43	278.736	1088	387.778	387.778	16.676	10.828	240.5	249.286	10.828	0.03	N	0.0905
68	J013250.99+304529.1	…	15.983	15.247	14.951	866.656	1174.315	1119	1163.333	1174.315	396.928	128.287	765.5	436.25	128.287	0.051	N	0.0503
69	J013251.40+303911.7	…	15.298	14.547	14.101	416.942	416.932	421.5	436.25	416.942	250.27	251.534	503.5	3490	3490	0.263	S	0.0812
70	J013251.42+302250.2	…	16.812	16.169	15.412	693.931	1378.189	1639.5	1163.333	1378.189	523.652	61.386	332.5	193.889	61.386	0.048	N	0.0805
71	J013251.52+302243.4	…	16.873	15.979	15.372	24.626	1407.519	1390	1163.333	1390	24.62	26.377	74	99.714	26.377	0.022	N	0.0751
72	J013252.00+303622.6	…	16.2	15.402	15.067	338.676	343.356	1349.5	436.25	338.676	456.24	460.465	59	498.571	460.465	0.023	N	0.0538
73	J013252.09+303554.6	…	16.913	15.915	15.795	65.813	29.578	1909.5	872.5	872.5	823.067	29.556	29.5	77.556	29.556	0.049	N	0.0926
74	J013252.15+303454.3	…	15.36	14.48	14.249	809.63	765.832	782.5	872.5	809.63	136.611	132.057	394.5	218.125	136.611	0.058	S	0.0826
75	J013252.21+301651.4	…	16.809	16.085	15.831	10.027	30.593	1217.5	1750	1750	10.026	14.727	378	129.63	14.727	0.025	N	0.0656
76	J013252.27+303514.1	…	16.93	16.082	15.948	604.754	27.078	29.5	872.5	27.078	25.956	29.56	770	698	770	0.052	N	0.1148
77	J013252.31+302145.8	…	15.737	15.002	14.816	1575.113	1538.438	1695.5	1745	1745	226.299	222.738	465	232.667	226.299	0.07	N	0.0596
78	J013252.60+301724.1	…	16.824	15.891	15.164	29.841	65.648	1221	388.889	65.648	33.336	23.908	1221	388.889	23.908	0.016	N	0.0628
79	J013252.62+303820.6	…	17.085	16.038	15.781	29.551	29.48	29.5	872.5	29.5	29.56	977.632	1221	872.5	872.5	0.026	N	0.064
80	J013252.92+303712.0	…	16.188	15.234	15.081	27.035	194.951	203	1745	194.951	754.617	50.822	1573	1745	1745	0.05	N	0.0695
81	J013253.09+303913.1	…	16.79	16.188	16.018	982.496	1050.056	1203.5	1163.333	1050.056	446.992	123.96	378	124.643	123.96	0.042	N	0.0734
82	J013253.14+303515.3	…	15.879	14.933	14.515	766.271	245.619	293.5	349	245.619	1470.105	121.755	1424	698	698	0.316	S	0.1606
83	J013253.33+303943.7	…	16.961	16.462	16.338	292.72	284.735	575.5	1163.333	284.735	55.007	47.741	117	102.647	47.741	0.036	N	0.0933
84	J013253.72+303208.9	…	15.588	14.643	14.384	35.478	134.276	406	139.6	134.276	30.991	123.038	1760.5	872.5	872.5	0.057	S	0.0767
85	J013253.76+303938.9	…	16.536	15.459	15.144	13.446	1427.776	1406.5	1163.333	1406.5	10.258	81.671	756	349	81.671	0.059	N	0.0887
86	J013253.82+303525.2A	…	15.508	14.866	14.723	112.381	111.871	112	112.581	112.381	902.11	1022.987	1170	872.5	902.11	0.112	S	0.0546
87	J013254.61+303843.6	…	15.694	14.828	14.725	516.834	1538.438	1472.5	1745	1538.438	708.801	703.759	814.5	698	708.801	0.056	N	0.0613
88	J013255.02+303933.6	…	–	–	–	1102.579	1492.181	1063	1163.333	1492.181	21.862	27.157	29.5	37.527	27.157	0.032	N	0.0996
89	J013255.09+303635.2	…	16.688	15.682	15.6	305.33	1481.043	1610.5	1745	1481.043	71.39	119.41	238.5	498.571	498.571	0.047	N	0.0841
90	J013255.15+302026.3	…	15.968	15.239	14.686	29.511	381.653	1166	1163.333	1163.333	29.533	376.584	1141.5	387.778	387.778	0.056	N	0.0617
91	J013255.18+301049.7	…	16.252	15.417	14.922	349.329	357.186	1073	875	349.329	898.039	26.932	1119.5	875	26.932	0.019	N	0.0506
92	J013255.37+302357.2	…	16.324	15.556	15.197	29.428	1359.324	1203.5	872.5	29.428	14.803	1225.055	1203.5	872.5	872.5	0.029	N	0.0629
93	J013255.99+303506.9	…	16.444	15.408	15.387	21.097	73.693	68	583.333	73.693	26.071	34.085	68.5	148.936	34.085	0.045	U	0.1178
94	J013256.18+303408.5	…	16.988	15.992	15.547	375.169	475.923	964	1745	1745	375.169	250.265	245	249.286	249.286	0.023	N	0.0828
95	J013256.21+302337.2	…	16.532	15.939	15.57	353.139	1340.95	1441	1163.333	1163.333	351.264	29.423	29.5	124.643	29.423	0.024	N	0.0593
96	J013256.53+303942.8	…	17.219	15.932	15.512	1331.975	1066.985	1092.5	1163.333	1066.985	29.604	29.493	360.5	112.581	29.493	0.03	N	0.0652
97	J013256.60+303146.3	…	16.012	15.056	14.778	106.989	16.794	59.5	1745	16.794	11.875	11.868	59.5	1745	11.868	0.042	N	0.1121
98	J013256.74+303903.6	…	15.349	14.405	14.21	2420.296	425.88	2200	3490	3490	425.889	420.467	404	436.25	425.889	0.24	L	0.0812
99	J013256.78+303141.6	…	–	–	–	34.786	31.582	25	1166.667	31.582	34.977	35.027	49.5	269.231	35.027	0.068	U	0.061
100	J013256.80+303531.0	…	15.46	14.583	14.283	1202.814	1331.948	1410	1163.333	1202.814	411.752	413.459	378	387.778	387.778	0.067	N	0.0601
101	J013256.89+302157.6	…	16.918	16.08	16.411	118.063	47.051	1489.5	1745	47.051	118.204	15.579	1069	581.667	15.579	0.019	N	0.0914
102	J013256.89+303838.7	…	16.514	15.686	15.361	68.507	29.533	29.5	3490	29.533	68.935	1872.274	292.5	3490	3490	0.038	N	0.0689
103	J013257.79+304323.1	…	16.407	15.792	15.774	1090.463	1072.754	1115	1163.333	1072.754	58.561	133.914	401	349	133.914	0.047	N	0.0772
104	J013257.86+303555.0	…	15.535	14.58	14.254	196.889	196.301	390	193.889	196.301	416.068	26.961	382	349	26.961	0.03	N	0.0583
105	J013258.18+303606.3	…	14.807	13.891	13.632	696.366	706.265	2244.5	698	696.366	3481.829	2611.307	2266	3490	3490	0.176	S	0.0804
106	J013258.61+305816.2	…	16.442	15.542	15.59	387.625	23.986	379	387.778	379	391.448	23.986	24	49.155	23.986	0.018	N	0.0602
107	J013259.21+302150.7	…	16.411	15.521	15.258	103.367	2229.903	1189	3490	3490	69.931	199.057	762	249.286	199.057	0.036	N	0.0669
108	J013259.56+304348.8	…	15.758	14.966	14.683	10.702	26.561	562.5	498.571	26.561	11.071	23.767	77.5	1163.333	1163.333	0.067	U	0.1032
109	J013259.69+303137.1	…	15.536	14.627	14.22	3307.737	1640.178	2075	1745	2075	293.586	775.236	1652.5	698	698	0.219	L	0.0773
110	J013259.98+303326.0	…	16.719	15.88	15.478	10.75	1710.776	1154	3490	3490	61.999	26.796	1154	387.778	26.796	0.044	N	0.0922
111	J013300.07+303341.4	…	15.782	14.754	14.585	1264.103	1417.575	1381	1163.333	1264.103	158.139	129.038	256.5	268.462	129.038	0.121	L	0.0899
112	J013300.10+304330.2	…	15.345	14.642	14.442	1297.152	1160.591	1298.5	1163.333	1297.152	311.561	311.066	631.5	349	311.066	0.1	L	0.0648
113	J013300.65+303426.5	…	16.849	16.143	15.668	78.782	15.415	641	100	78.782	13.988	58.571	548.5	112.903	58.571	0.289	–	0.0341
114	J013300.72+301118.2	…	16.201	15.302	15.222	587.606	510.402	1373.5	1750	510.402	501.011	2163.425	1780.5	1750	2163.425	0.07	N	0.0834
115	J013301.17+303057.5	…	15.648	14.825	14.48	399.92	21.564	429	436.25	399.92	13.935	17.973	559.5	129.259	13.935	0.311	U	0.0679
116	J013301.70+303329.5	…	16.214	15.41	15.082	117.99	1667.639	1593.5	1745	1745	118.483	29.522	59	116.333	29.522	0.058	N	0.0931
117	J013301.79+303954.3	…	15.115	14.242	13.918	1562.711	1503.488	1916.5	1745	1503.488	620.201	542.241	941.5	581.667	620.201	0.103	L	0.0698
118	J013301.97+301858.5	…	17.113	16.029	15.837	30.561	1551.277	1038.5	3490	3490	30.714	564.914	1126	498.571	564.914	0.052	N	0.08
119	J013302.46+302700.9	…	16.05	15.378	14.861	14.735	99.578	507.5	872.5	99.578	31.836	473.651	995.5	872.5	473.651	0.03	N	0.072
120	J013302.48+304932.0	…	16.459	15.654	15.421	330.223	844.509	1327	872.5	872.5	893.983	108.448	214	174.5	108.448	0.059	N	0.0849
121	J013302.59+304250.3	…	–	–	–	34.953	245.923	887.5	698	698	34.984	144.335	282	872.5	144.335	0.048	N	0.1009
122	J013302.79+302857.1	…	15.305	14.417	14.266	344.556	348.787	1297.5	349	344.556	3481.829	1039.058	894	1163.333	1039.058	0.071	S	0.0679
123	J013303.54+303201.2	…	14.541	13.79	13.382	256.74	367.5	762	387.778	367.5	344.548	796.991	803.5	872.5	872.5	0.337	N	0.1336
124	J013303.55+303139.2	…	15.775	14.965	14.63	30.046	1458.534	1317.5	1750	1458.534	1437.423	210.797	644.5	437.5	210.797	0.183	L	0.1293
125	J013303.56+301311.2	…	17.142	16.151	15.958	38.024	15.527	372	120.69	15.527	11.056	30.736	372	388.889	30.736	0.021	N	0.076
126	J013303.61+302841.5	…	15.457	14.617	14.223	1890.136	1407.519	1325	1163.333	1325	29.617	341.584	681	581.667	341.584	0.191	L	0.0955
127	J013303.88+302842.1	…	–	–	–	522.989	231.77	955.5	500	231.77	108.035	29.83	983.5	875	875	0.122	U	0.0645
128	J013303.88+303041.3	…	15.554	14.687	14.415	204.922	408.99	1336.5	388.889	408.99	135.959	1586.873	2126.5	1750	1750	0.268	S	0.1126
129	J013304.02+303215.2	…	15.295	14.5	14.115	227.597	1613.502	1697.5	1745	1745	134.188	205.871	420	205.294	205.871	0.202	L	0.1117
130	J013304.37+310853.9	…	16.12	15.227	14.908	431.444	1640.178	446.5	3490	431.444	14.2	1681.859	1763	3490	3490	0.061	S	0.0596
131	J013304.51+303235.0	…	15.658	14.93	14.543	47.049	178.212	340.5	349	340.5	52.769	189.809	1269	205.294	189.809	0.154	N	0.1079
132	J013304.68+304456.0	…	15.289	14.478	14.195	530.653	326.414	1068	290.833	290.833	460.474	573.585	451	498.571	573.585	0.062	N	0.1083
133	J013304.80+303338.3	…	16.185	15.176	14.831	29.993	1587.68	1974	1745	1745	63.509	41.562	83.5	124.643	41.562	0.071	N	0.0916
134	J013304.96+303311.3	…	16.536	15.797	15.591	31.432	29.54	29.5	3500	29.54	31.441	12.143	1335	318.182	12.143	0.049	N	0.1083
135	J013305.17+303119.8	…	15.456	14.649	14.365	3481.75	1756.204	2194	3490	3490	234.586	232.377	452	387.778	232.377	0.176	N	0.1142
136	J013305.34+303259.4	…	16.799	16.186	15.832	13.002	30.392	59	1745	30.392	14.999	1526.624	59	1745	1526.624	0.051	N	0.1219
137	J013305.48+303138.5	…	14.423	13.705	13.337	889.974	862.872	1413.5	872.5	889.974	3481.829	532.065	1599.5	3490	532.065	0.27	N	0.154
138	J013305.52+303249.6	…	16.749	16.115	15.197	13.994	30.457	92	436.25	30.457	14.005	14.743	87	166.19	14.743	0.046	N	0.1069
139	J013305.53+303120.1	…	15.958	15.18	14.983	14.775	14.715	165	159.091	14.715	14.801	10.878	164	166.667	10.878	0.086	U	0.1327
140	J013305.64+303209.6	…	16.02	15.132	14.774	73.484	161.187	301	875	875	431.939	61.059	301	64.815	61.059	0.076	N	0.1519
141	J013305.95+303014.6	…	15.411	14.712	14.273	1195.568	1459.258	1243.5	1163.333	1243.5	1772.002	109.828	309.5	290.833	109.828	0.106	N	0.1184
142	J013306.33+303208.2	…	14.921	14.085	13.781	32.397	1323.066	1316	1166.667	1166.667	1174.342	352.505	1316	700	700	0.219	N	0.1864
143	J013306.76+303306.2	…	16.869	16.015	15.716	74.947	1232.605	1009	872.5	872.5	40.231	303.905	319.5	317.273	317.273	0.201	N	0.1677
144	J013306.88+303004.6	…	15.573	14.692	14.355	35.071	292.713	324	317.273	292.713	285.972	366.839	677	698	698	0.188	N	0.1448
145	J013306.95+303506.1	…	15.07	14.308	13.957	128.471	303.288	1518.5	317.273	317.273	128.305	127.066	1726	872.5	127.066	0.186	N	0.1634
146	J013307.10+303335.1	…	16.651	15.784	15.63	350.017	1202.733	1032.5	1163.333	1202.733	358.878	267.453	539	698	267.453	0.173	N	0.1654
147	J013307.27+302739.2	…	16.989	15.926	15.697	3481.829	1195.543	1003.5	1163.333	1003.5	648.576	212.257	442	349	349	0.144	N	0.1553
148	J013307.29+304256.8	…	15.628	14.806	14.606	950.131	1089.657	1959.5	1163.333	950.131	43.627	40.579	172.5	65.234	40.579	0.116	N	0.1808
149	J013307.37+304543.2	…	–	–	–	35.826	1038.745	2094.5	1163.333	1038.745	35.847	35.853	2040.5	698	35.853	0.158	N	0.2213
150	J013308.14+303134.0	…	16.314	15.747	15.256	43.098	1153.842	1373.5	1163.333	1153.842	13.838	148.771	692.5	387.778	692.5	0.204	N	0.2157
151	J013308.68+303009.7	…	15.44	14.693	14.359	728.331	355.973	1373.5	698	728.331	13.915	27.198	1452	1163.333	27.198	0.341	L	0.276
152	J013308.69+303409.2	…	15.564	14.789	14.382	13.408	185.131	620.5	581.667	185.131	24.92	24.976	1117.5	129.259	24.976	0.082	N	0.1683
153	J013308.92+304715.8	…	16.64	15.883	15.529	17.934	188.728	382	700	188.728	195.28	68.838	202.5	583.333	68.838	0.136	N	0.2037
154	J013309.10+303017.8	…	14.731	13.965	13.668	605.074	616.337	632	698	632	3481.829	48.287	526	3490	48.287	0.186	N	0.1973
155	J013309.31+302413.5	…	16.89	15.822	15.589	10.598	353.761	1207.5	183.684	353.761	10.592	96.34	291.5	151.739	96.34	0.074	N	0.1859
156	J013309.36+302730.1	…	16.265	15.305	15.218	1232.697	105.789	599.5	1163.333	105.789	26.529	1174.315	1036	1163.333	1174.315	0.19	N	0.2225
157	J013309.57+303049.0	…	16.728	15.971	15.565	30.285	48.509	686	698	48.509	27.25	353.743	686	698	353.743	0.08	N	0.2131
158	J013309.85+302353.8	…	15.635	14.854	14.417	15.974	29.463	105	3490	29.463	12.484	362.154	250	387.778	362.154	0.121	N	0.208
159	J013309.97+302727.5	…	14.854	13.979	13.584	193.247	195.913	940	872.5	193.247	1028.312	51.926	2235.5	3490	3490	0.089	N	0.1337
160	J013310.00+304422.9	…	15.471	14.551	14.398	156.858	191.24	557	250	191.24	1348.102	105.743	641	159.091	105.743	0.196	N	0.161
161	J013310.04+303439.1	…	16.152	15.237	14.926	390.662	185.825	763.5	875	763.5	418.567	186.812	184	194.444	186.812	0.387	N	0.2199
162	J013310.09+303330.7	…	16.819	15.833	15.842	603.174	1354.591	554	291.667	603.174	600.981	185.269	277	184.211	184.211	0.241	U	0.203
163	J013310.71+302714.9	…	15.068	14.393	13.894	364.408	1285.132	1547.5	872.5	872.5	366.486	182.202	562.5	387.778	366.486	0.29	N	0.2046
164	J013310.87+304630.1	…	15.485	14.606	14.476	402.362	460.231	431	437.5	437.5	135.495	143.635	290.5	152.174	143.635	0.166	N	0.1131
165	J013311.23+301222.8	…	16.195	15.442	15.369	40.196	1047.954	1052	872.5	872.5	492.682	343.001	320	317.273	343.001	0.2	N	0.2224
166	J013311.99+304757.9	…	15.793	15.013	14.723	145.917	187.942	547.5	349	187.942	962.891	470.987	969.5	1745	1745	0.23	S	0.1516
167	J013312.09+304600.2	…	16.931	16.152	15.807	716.477	235.421	741	698	741	13.397	181.574	538	249.286	181.574	0.137	L	0.1201
168	J013312.20+304849.4	…	15.564	14.487	14.302	27.412	230.767	451.5	249.286	230.767	27.424	465.868	964.5	498.571	465.868	0.135	S	0.1242
169	J013312.26+310053.3	…	13.33	12.604	12.43	276.028	72.776	1096	268.462	72.776	279.134	236.262	1097.5	387.778	236.262	0.026	N	0.0552
170	J013312.28+303848.1	…	–	–	–	–	–	–	–	–	–	–	–	–	–	–	–	–
171	J013312.32+304836.2	…	16.447	15.737	15.482	29.604	181.077	732.5	872.5	181.077	28.344	833.868	799.5	872.5	799.5	0.056	N	0.094
172	J013312.38+302453.2	…	14.793	13.897	13.65	2479.554	2479.482	2188	3500	2479.554	742.938	164.069	670.5	350	164.069	0.307	N	0.0987
173	J013312.43+303711.3	…	–	–	–	15.281	1007.415	948	872.5	872.5	27.796	183.93	560	349	183.93	0.152	N	0.1594
174	J013312.59+303252.5	…	15.323	14.458	14.206	17.204	573.585	998.5	581.667	573.585	34.6	241.436	995.5	268.462	241.436	0.142	N	0.1481
175	J013313.00+303905.5	…	15.626	14.653	14.423	26.499	408.814	405.5	387.778	387.778	26.468	14.181	517.5	134.231	14.181	0.15	U	0.1731
176	J013313.47+305709.6	…	15.986	15.322	14.949	605.074	350.636	775.5	698	350.636	618.269	778.277	762	698	778.277	0.016	N	0.0473
177	J013313.67+304653.2	…	16.357	15.468	15.615	149.559	1526.624	2179	1745	1745	104.62	790.676	682.5	698	790.676	0.145	N	0.0916
178	J013313.81+303018.0	…	15.908	15.152	15.154	31.311	1585.993	1494	1750	1750	2023.058	345.986	1057	350	345.986	0.143	N	0.1511
179	J013313.82+304122.7	…	16.459	15.436	14.994	11.806	468.066	436	436.25	468.066	119.557	142.265	341.5	232.667	142.265	0.073	N	0.0975
180	J013313.92+304627.3	…	–	–	–	2611.372	2255.249	1963.5	3490	2611.372	672.76	748.907	888	698	748.907	0.058	N	0.0631
181	J013314.04+302715.7	…	16.606	15.978	15.431	53.77	148.994	370.5	387.778	387.778	438.111	146.899	147.5	151.739	147.5	0.07	N	0.098
182	J013314.21+303014.0	…	16.365	15.565	15.352	15.065	357.852	357.5	350	357.852	19.844	66.527	59	875	66.527	0.064	N	0.1182
183	J013314.22+302657.5	…	16.302	15.273	15.318	22.054	1538.438	1189	1745	1538.438	10.383	91.288	404.5	581.667	91.288	0.049	N	0.1033
184	J013314.22+302749.3	…	–	–	–	375.169	206.3	404	387.778	206.3	368.208	48.774	1170.5	581.667	48.774	0.065	N	0.1245
185	J013314.31+302952.9	…	15.03	14.181	13.79	2079.124	1951.753	1635	1750	1750	138.709	88.224	518.5	350	88.224	0.126	U	0.0974
186	J013314.38+303718.8	…	16.649	15.632	15.819	50.538	282.304	833	872.5	282.304	50.359	48.358	1299	349	48.358	0.038	N	0.0842
187	J013314.40+302626.0	…	16.934	16	15.719	186.702	55.952	780	1745	1745	186.702	27.197	780	183.684	27.197	0.047	N	0.1045
188	J013315.08+304436.0	…	16.279	15.438	15.142	11.433	931.741	1921	872.5	872.5	848.138	319.068	1434.5	317.273	319.068	0.042	N	0.0943
189	J013315.23+305329.0	…	14.529	13.781	13.423	678.939	686.008	649.5	700	678.939	339.469	159.202	641	318.182	339.469	0.113	S	0.0829
190	J013315.26+305321.5	…	14.953	14.244	13.834	682.008	698.802	1357.5	698	682.008	1575.113	1575.076	1434.5	1745	1575.076	0.307	S	0.058
191	J013315.41+303722.8	…	15.179	14.418	14.199	300.248	1407.519	1172.5	1163.333	300.248	184.962	185.824	1162	872.5	184.962	0.042	N	0.0479
192	J013315.65+304641.9	…	17.007	15.894	15.493	28.127	27.105	29.5	1163.333	27.105	1240.401	22.904	29.5	1163.333	29.5	0.035	N	0.0836
193	J013315.68+302035.0	…	–	–	–	347.573	22.754	687.5	698	347.573	33.083	58.422	1149	698	698	0.037	N	0.0906
194	J013315.97+303153.7	…	14.935	14.119	13.758	628.051	677.337	720.5	698	720.5	29.216	355.027	1072.5	387.778	355.027	0.299	S	0.0981
195	J013316.13+305322.2	…	16.077	15.061	15.043	100.083	99.829	782	872.5	782	99.731	99.379	403.5	124.643	99.731	0.041	N	0.0696
196	J013316.50+304634.5	…	16.378	15.254	15.077	15.067	923.071	1172.5	872.5	872.5	168.906	80.806	386	116.333	80.806	0.027	N	0.0712
197	J013316.57+303051.9	…	15.047	14.167	13.82	806.765	282.304	562	268.462	282.304	1653.869	187.05	931.5	218.125	187.05	0.137	S	0.0964
198	J013316.79+304613.0	…	15.797	15.438	14.858	1945.728	452.073	1033	1745	1945.728	159.666	159.534	360.5	349	360.5	0.023	N	0.0442
199	J013316.82+305316.8	…	16.845	16.01	15.663	188.68	69.124	177	92.105	69.124	764.957	44.761	228	1166.667	44.761	0.08	U	0.1114
200	J013317.08+303954.7	…	16.515	15.802	15.556	34.042	1470.069	487	1745	487	34.024	252.173	487	249.286	252.173	0.028	N	0.0708
201	J013317.25+303313.7	…	15.805	14.924	14.669	3481.829	268.189	1729.5	1745	1729.5	1538.482	272.61	964.5	290.833	272.61	0.203	I	0.0963
202	J013317.40+303210.8	…	15.139	14.446	13.97	644.364	684.346	1667	698	644.364	3150.226	410.89	2166	436.25	410.89	0.212	S	0.1082
203	J013317.47+303002.0	…	16.75	15.943	15.71	1280.414	1174.315	1049	1163.333	1280.414	74.471	129.206	259.5	134.231	129.206	0.061	L	0.0842
204	J013317.47+303521.7	…	15.919	15.09	14.513	10.172	1681.859	1963	3490	3490	2876.293	158.641	457.5	698	158.641	0.206	I	0.1053
205	J013317.63+303215.9	…	15.649	14.926	14.641	2681.949	1459.258	1367.5	1163.333	1367.5	136.402	681.993	738	698	738	0.104	L	0.0965
206	J013317.73+304129.4	…	16.672	15.936	15.732	11.463	96.24	249.5	183.684	96.24	141.382	16.059	249.5	134.231	16.059	0.035	N	0.097
207	J013317.74+301757.2	…	15.649	14.797	14.83	3461.532	350.608	1991	3500	3500	176.609	335.176	330.5	318.182	330.5	0.131	N	0.0634
208	J013318.11+302946.8	…	15.813	14.977	14.535	12.182	1550.46	1280	1745	1745	376.592	242.025	490.5	436.25	376.592	0.234	I	0.1189
209	J013318.20+303134.0	…	14.001	13.462	13.181	1078.61	1090.441	2077.5	1163.333	1090.441	3307.737	490.026	2098.5	3490	3307.737	0.084	N	0.0641
210	J013318.72+303843.4	…	16.543	15.906	15.536	25.084	1359.324	1134.5	872.5	872.5	39.916	29.533	29.5	151.739	29.533	0.031	N	0.0647
211	J013318.76+305415.6	…	16.407	15.924	15.474	19.295	90.662	88.5	94.324	90.662	16.209	29.393	59	290.833	29.393	0.033	N	0.0697
212	J013319.07+303540.6	…	15.653	14.824	14.54	1787.966	1696.238	538.5	1745	1787.966	29.489	221.249	661	205.294	221.249	0.088	N	0.075
213	J013319.13+303642.5	…	14.818	13.885	13.585	696.366	247.765	1371.5	698	696.366	2134.024	257.073	1829.5	1745	2134.024	0.137	S	0.0847
214	J013319.33+302802.9	…	16.605	15.859	15.314	217.848	218.317	659.5	232.667	217.848	134.64	137.051	983	249.286	137.051	0.177	N	0.1637
215	J013319.47+305533.9	…	–	–	–	19.95	20.01	1391.5	1163.333	20.01	354.4	32.874	138	1163.333	32.874	0.019	N	0.0844
216	J013319.48+305303.3	…	–	–	–	927.403	38.762	452.5	232.667	232.667	902.11	38.679	39	72.708	38.679	0.024	N	0.0916
217	J013320.42+302714.7	…	15.743	14.907	14.628	27.401	450.023	890	436.25	450.023	27.446	306.266	305.5	1745	305.5	0.083	S	0.0902
218	J013320.56+302252.2	…	16.546	15.712	15.518	75.895	1140.576	1203.5	1163.333	1203.5	76.45	39.09	1203.5	120.345	39.09	0.049	N	0.0907
219	J013320.57+304148.6	…	16.05	15.355	15.095	222.743	226.552	1189	698	222.743	42.47	66.021	1413	1163.333	1413	0.024	N	0.0644
220	J013321.44+304045.4	…	14.793	14.002	13.581	751.758	766.254	1410	698	751.758	1640.2	1575.076	1506	1745	1640.2	0.17	S	0.0888
221	J013321.76+303937.9	…	16.729	16.145	15.474	94.507	49.665	981.5	498.571	498.571	93.837	49.454	88	317.273	49.454	0.03	N	0.078
222	J013321.94+303113.9	…	–	–	–	75.062	75.089	75.5	77.556	75.089	11.104	38.063	497.5	218.125	38.063	0.107	N	0.0996
223	J013321.94+304112.0	…	15.358	14.436	14.055	1407.548	1427.776	1378	1745	1427.776	223.496	221.991	480	232.667	223.496	0.188	I	0.0753
224	J013322.57+301058.4	…	16.533	15.649	15.464	1189.902	1119.884	1053.5	1166.667	1119.884	13.902	211.064	210	291.667	211.064	0.05	N	0.0885
225	J013322.82+301910.9	…	14.823	14.014	13.777	203.819	579.999	575	581.667	575	284.102	284.099	281	290.833	281	0.147	U	0.1234
226	J013323.15+305018.8	…	17.128	16.034	15.479	22.65	11.599	58.5	268.462	11.599	15.278	10.224	806.5	268.462	10.224	0.018	N	0.0693
227	J013323.43+304928.6	…	15.803	14.952	14.793	153.848	155.29	997	872.5	153.848	359.537	273.361	834	872.5	872.5	0.052	N	0.0788
228	J013324.14+301803.6	…	16.685	16.156	15.88	10.298	239.534	1108	1163.333	239.534	138.531	384.008	1533	349	349	0.049	N	0.118
229	J013324.44+304910.5	…	16.394	15.631	15.523	122.132	997.287	136.5	1163.333	997.287	11.148	29.489	59	68.431	29.489	0.024	N	0.071
230	J013324.71+303423.7	…	15.329	14.448	14.054	94.059	202.51	1073	581.667	1073	1050.075	555.911	581	581.667	555.911	0.212	I	0.1521
231	J013324.89+301754.3	…	15.478	14.591	14.467	138.921	579.999	1817.5	581.667	581.667	588.742	306.844	1750.5	3490	306.844	0.24	I	0.1357
232	J013325.04+302407.1	…	–	–	–	347.573	48.702	1147	1745	1745	41.511	48.702	81	53.692	48.702	0.04	N	0.1037
233	J013325.21+302751.2	…	–	–	–	3481.829	276.406	556.5	498.571	276.406	3481.829	36.985	655	581.667	36.985	0.02	N	0.0911
234	J013325.41+304747.5	…	16.163	15.419	15.042	10.479	1448.604	1770	1163.333	1448.604	555.922	99.829	536.5	581.667	99.829	0.07	N	0.0637
235	J013326.24+302401.7	…	15.755	14.912	14.589	27.389	455.183	2002	3490	3490	27.416	447.991	465.5	387.778	447.991	0.161	I	0.0846
236	J013326.30+303644.0	…	–	–	–	288.885	35.733	924	875	288.885	34.996	35.726	124.5	875	35.726	0.047	N	0.1374
237	J013326.33+303824.7	…	16.782	15.967	16.148	931.757	36.582	654.5	498.571	36.582	12.015	10.924	233.5	498.571	10.924	0.032	N	0.1294
238	J013326.51+303440.0	…	16.223	15.449	15.094	1626.756	2067.312	1946	1745	2067.312	3481.829	107.102	418.5	112.581	107.102	0.105	N	0.1043
239	J013326.75+302407.6	…	16.742	15.55	15.51	19.471	29.463	29.5	205.294	29.463	19.467	11.369	1113.5	99.714	11.369	0.023	N	0.068
240	J013326.75+304716.1	…	15.3	14.492	14.139	3481.829	494.912	1699.5	498.571	494.912	492.467	271.12	2138	3490	271.12	0.361	S	0.1411
241	J013326.90+310054.2	…	15.057	14.136	13.847	587.172	563.806	1349	581.667	587.172	2718.688	1503.488	1526.5	1163.333	1503.488	0.314	S	0.1194
242	J013326.94+304630.6	…	16.109	15.205	15.086	14.958	242.913	480.5	232.667	242.913	25.176	158.388	480.5	581.667	158.388	0.062	N	0.0988
243	J013327.07+302508.9	…	–	–	–	10.349	119.267	239	120.345	119.267	443.001	47.581	47.5	61.228	47.581	0.026	N	0.0801
244	J013327.40+304126.4	…	15.457	14.689	14.38	713.9	719.057	805	698	698	457.291	463.691	469.5	436.25	457.291	0.381	L	0.1294
245	J013328.17+304741.5	…	14.355	13.566	13.185	1039.08	1007.415	1036	1163.333	1036	501.172	504.987	2101	498.571	504.987	0.079	S	0.0577
246	J013328.85+310041.7	…	14.909	14.074	13.742	291.003	1538.438	1224	387.778	291.003	716.477	636.088	1258	698	716.477	0.197	S	0.1084
247	J013328.89+303058.0	…	15.23	14.351	13.871	612.544	902.087	962.5	872.5	872.5	1417.602	322.699	651.5	349	322.699	0.184	N	0.1155
248	J013329.03+303750.7	…	16.694	15.946	15.582	19.88	27.078	1848	872.5	27.078	28.745	78.108	463	872.5	872.5	0.064	N	0.1459
249	J013329.31+304104.9	…	17.049	16.149	15.775	22.264	39.737	79.5	183.684	39.737	25.344	15.881	51	581.667	15.881	0.277	U	0.2109
250	J013329.44+304108.9	…	15.928	15.158	14.824	28.324	26.983	245	1163.333	26.983	28.336	1264.079	245	1163.333	1163.333	0.051	N	0.1105
251	J013329.47+301848.3	…	14.652	13.848	13.543	846.177	944.251	957	872.5	846.177	377.349	479.069	1462.5	436.25	479.069	0.304	S	0.1398
252	J013329.90+304009.4	…	16.192	15.299	14.988	91.29	247.148	1271	698	247.148	92.138	91.625	1410.5	1745	91.625	0.047	N	0.0964
253	J013330.27+303510.6	…	15.014	14.146	13.703	766.271	601.395	1173.5	698	698	679.672	475.923	545.5	436.25	475.923	0.174	U	0.1123
254	J013331.18+305110.6	…	16.164	15.389	14.964	33.827	201.892	932	872.5	872.5	181.412	202.51	402	218.125	202.51	0.035	N	0.0805
255	J013331.36+303327.2	…	16.426	15.597	15.361	29.772	491.661	30	1745	29.772	100.547	400.415	144	387.778	400.415	0.132	U	0.0979
256	J013331.47+303410.8	…	16.782	15.967	15.436	16.272	757.478	859	698	757.478	778.291	29.401	499.5	218.125	29.401	0.085	N	0.0975
257	J013331.94+303335.2	…	–	–	–	67.295	65.078	2709.5	70	65.078	377.466	456.265	3278.5	437.5	437.5	0.301	–	0.023
258	J013331.98+303338.7	…	16.597	15.476	15.425	348.175	242.604	489	698	698	348.175	27.085	156	166.19	27.085	0.048	N	0.0787
259	J013332.12+302033.1	…	–	–	–	3481.829	36.051	1125.5	498.571	36.051	3481.829	35.169	1125.5	498.571	35.169	0.019	N	0.0864
260	J013332.23+301429.7	…	16.587	15.743	15.719	873.322	1236.231	1277	1166.667	1236.231	233.6	233.309	638.5	700	638.5	0.058	N	0.0946
261	J013332.31+303727.6	…	16.487	15.598	15.514	29.551	29.59	1207	700	29.59	746.105	216.896	1207	700	746.105	0.021	N	0.0641
262	J013332.59+303827.7	…	16.15	15.314	15.069	16.898	1280.393	504.5	1163.333	1280.393	21.981	199.057	27	193.889	199.057	0.049	N	0.1829
263	J013333.05+304147.0	…	16.517	15.538	15.193	177.162	176.363	520	184.211	177.162	105.37	14.985	11	140	11	0.052	U	0.0732
264	J013333.32+304303.1	…	15.618	14.678	14.599	1280.414	1181.307	1242.5	872.5	1242.5	636.103	636.088	687	698	636.103	0.066	N	0.0563
265	J013333.37+303351.3	…	15.235	14.456	14.023	282.003	245.359	826.5	875	245.359	382.003	1888.111	2167.5	3500	3500	0.119	S	0.1125
266	J013333.89+303315.7	…	16.394	15.659	15.426	33.937	399.114	761.5	388.889	388.889	10.405	34.265	1392.5	700	700	0.094	N	0.1028
267	J013334.20+303551.6	…	15.981	15.188	14.919	1567.925	123.315	1619	1745	1745	118.868	33.763	251	174.5	33.763	0.053	N	0.0809
268	J013334.34+305037.5	…	15.344	14.52	14.283	165.936	167.468	2242	205.294	167.468	790.676	130.731	2245	193.889	130.731	0.046	N	0.0666
269	J013334.38+304101.9	…	15.773	15.037	14.668	3479.994	1549.619	1689	1745	1745	17.336	300.53	593	317.273	300.53	0.313	L	0.1044
270	J013334.52+302131.5	…	15.978	14.978	14.659	398.523	153.133	442.5	872.5	153.133	396.928	219.536	676	872.5	872.5	0.046	N	0.0702
271	J013334.52+303355.0	…	15.098	14.364	14.118	442.013	449.004	879	388.889	442.013	1147.19	1108.721	1039	1166.667	1147.19	0.07	S	0.0603
272	J013334.82+302029.1	…	15.18	14.376	14.095	443.982	439.049	1289	436.25	443.982	2450.12	1804.077	1959	3490	3490	0.223	S	0.0947
273	J013334.89+310250.2	…	16.452	15.535	15.451	408.363	1108.721	1107.5	872.5	1107.5	405.029	430.498	434	436.25	430.498	0.024	N	0.0569
274	J013335.01+302000.2	…	–	–	–	17.903	29.584	59	109.375	29.584	17.913	12.79	11.5	109.375	12.79	0.031	N	0.0884
275	J013335.53+303555.3	…	16.561	15.949	15.365	17.474	29.51	85.5	52.239	29.51	17.474	18.376	17.5	66.038	18.376	0.04	U	0.0957
276	J013335.66+303518.3	…	16.296	15.607	15.139	22.741	78.103	156	129.259	78.103	35.219	30.507	30.5	166.19	30.507	0.055	U	0.1001
277	J013335.90+303344.5	…	14.642	13.742	13.359	154.929	1090.441	802	872.5	872.5	893.983	501.163	1614	436.25	501.163	0.278	S	0.119
278	J013336.01+303524.4	…	16.781	16.312	15.781	23.26	10.169	368.5	290.833	23.26	43.048	26.264	92	232.667	43.048	0.284	–	0.0031
279	J013336.04+304753.3	…	16.51	15.672	15.156	14.231	78.692	1181.5	436.25	78.692	626.07	27.038	1181.5	581.667	27.038	0.013	N	0.0528
280	J013336.17+303325.0	…	16.308	15.588	15.039	22.598	263.076	1517	700	263.076	259.28	1593.295	1485	1750	1750	0.083	I	0.1215
281	J013336.48+302152.4	…	16.347	15.474	15.404	3481.829	330.767	682.5	349	330.767	3481.829	193.998	799.5	387.778	387.778	0.165	I	0.132
282	J013336.54+301749.0	…	–	–	–	1329.675	1123.33	1313.5	872.5	872.5	3490.397	15.539	15.5	3490	15.539	0.037	N	0.0853
283	J013336.64+303532.3	…	14.381	13.631	13.315	630.044	677.337	1809.5	700	630.044	1232.695	291.425	1181.5	1166.667	1232.695	0.175	S	0.0951
284	J013336.84+302050.7	…	–	–	–	13.729	14.326	57.5	436.25	14.326	20.969	19.146	124.5	67.115	19.146	0.138	U	0.1149
285	J013336.90+304257.9	…	15.375	14.989	14.734	1202.814	1305.653	1831.5	1163.333	1163.333	677.352	507.57	679.5	581.667	677.352	0.097	L	0.0529
286	J013337.20+305952.4	…	16.828	16.049	15.447	12.195	810.038	774	872.5	872.5	12.194	50.218	121	77.556	50.218	0.022	N	0.0849
287	J013337.29+304004.8	…	16.27	15.536	15.2	387.421	149.36	764.5	698	149.36	29.571	226.686	1166	698	698	0.048	N	0.0785
288	J013337.39+305200.2	…	15.788	14.792	14.781	62.059	110.563	222	232.667	110.563	10.027	222.738	1106	872.5	222.738	0.047	N	0.0679
289	J013337.56+303029.3	…	16.426	16.114	15.397	11.193	1195.543	1084	1166.667	1195.543	11.197	29.546	59	194.444	29.546	0.084	N	0.1166
290	J013337.64+305121.7	…	16.342	15.59	15.518	10.758	769.225	1557.5	1745	1745	18.131	358.232	338	387.778	358.232	0.037	N	0.08
291	J013337.65+301806.4	…	16.734	15.934	15.889	25.561	29.459	29.5	387.778	29.459	29.447	14.734	1118.5	349	14.734	0.024	N	0.0723
292	J013337.80+305105.9	…	16.223	15.453	14.81	352.512	121.012	729	387.778	121.012	351.887	763.306	691.5	698	763.306	0.019	N	0.0574
293	J013338.77+303532.9	…	15.015	14.193	13.839	45.9	140.109	416	106.061	140.109	10.937	108.061	46	109.375	109.375	0.091	U	0.142
294	J013339.15+302211.5	…	16.232	15.271	15.097	54.048	1653.822	1845	1745	1845	54.285	251.853	610.5	232.667	251.853	0.069	N	0.108
295	J013339.17+304251.5	…	15.737	14.842	14.638	15.59	485.232	983	498.571	485.232	482.881	334.107	1978	349	334.107	0.275	S	0.1263
296	J013339.28+303118.8	…	13.508	12.867	12.468	1240.373	1066.94	1366.5	1163.333	1240.373	393.769	737.73	2191	698	737.73	0.124	L	0.0891
297	J013339.37+303512.9	…	15.793	15.022	14.69	36.894	34.911	105	145.833	34.911	560.783	63.484	18.5	145.833	63.484	0.243	U	0.1444
298	J013339.39+303119.2	…	–	–	–	–	–	–	–	–	–	–	–	–	–	–	–	–
299	J013339.46+302113.0	…	15.414	14.612	14.222	539.305	568.654	569.5	581.667	568.654	997.308	1096.467	927.5	1163.333	1096.467	0.159	S	0.1096
300	J013339.50+302233.0	…	16.435	15.844	15.343	13.025	29.407	29.5	3500	29.407	10.534	189.577	120	1166.667	120	0.088	N	0.1244
301	J013339.65+303500.6	…	15.642	14.889	14.651	834.126	58.353	42	232.667	834.126	10.18	69.975	126	63.455	69.975	0.274	U	0.1198
302	J013339.73+303540.6	…	16.146	15.422	14.916	12.455	13.514	157	109.063	12.455	12.579	18.988	383.5	1163.333	12.579	0.33	–	0.0213
303	J013339.88+302018.8	…	15.085	14.348	14.204	3481.829	522.264	2157	581.667	522.264	3481.829	2089.035	2098.5	3490	3490	0.098	S	0.0702
304	J013339.98+303044.3	…	16.804	15.792	15.613	23.673	805.51	1137.5	875	875	23.661	69.908	33.5	94.595	69.908	0.038	N	0.0829
305	J013340.02+301827.8	…	–	–	–	15.789	15.795	703.5	249.286	15.795	116.419	114.037	518.5	1745	114.037	0.019	N	0.0793
306	J013340.04+303550.5	…	16.619	15.949	15.798	367.609	335.85	636	205.882	205.882	16.742	89.577	72	94.595	89.577	0.403	U	0.1505
307	J013340.39+302125.3	…	15.991	15.242	14.648	162.723	114.521	466.5	174.5	114.521	283.37	29.582	92	290.833	29.582	0.046	N	0.0853
308	J013340.41+302117.3	…	16.513	15.665	15.287	1072.5	1233.335	1003	1166.667	1166.667	10.304	10.041	406.5	175	10.041	0.1	U	0.1316
309	J013340.77+302108.7	…	14.882	14.209	13.914	209.572	210.679	414	3490	210.679	2334.873	2025.111	2035	3490	2334.873	0.069	N	0.0927
310	J013340.80+304248.5	…	15.277	14.377	14.065	3466.018	2079.564	2152.5	3490	3490	238.028	238.888	482	498.571	238.028	0.145	N	0.0707
311	J013340.88+304328.3	…	16.62	15.898	15.636	205.662	173.176	341.5	349	173.176	32.503	205.233	447	205.294	205.294	0.049	N	0.0918
312	J013340.91+305407.2	…	16.447	15.565	15.48	18.975	202.717	1432	1745	1432	33.879	111.871	223	193.889	111.871	0.042	N	0.0681
313	J013341.01+302104.1	…	–	–	–	–	–	–	–	–	–	–	–	–	–	–	–	–
314	J013341.48+303542.3	…	15.489	14.719	14.353	478.226	499.9	487	500	487	237.397	29.674	148	218.75	29.674	0.063	N	0.059
315	J013341.49+301730.5	…	15.82	15.002	14.611	580.44	210.83	416	218.75	210.83	220.608	499.685	1543	1166.667	1543	0.128	S	0.0923
316	J013341.57+303117.3	…	16.381	15.855	15.354	30.111	18.167	207.5	178.974	18.167	55.676	37.383	110.5	112.581	37.383	0.087	N	0.21
317	J013341.59+302031.0	…	15.473	14.71	14.282	2046.019	1526.624	2109	1750	1526.624	133.108	587.161	1048.5	583.333	583.333	0.207	L	0.1111
318	J013341.90+302038.1	…	–	–	–	1740.911	1600.487	1430	1750	1750	15.928	26.946	234.5	700	26.946	0.048	N	0.1045
319	J013342.08+303635.3	…	16.21	15.498	15.314	14.399	97.329	80	387.778	97.329	98.031	80.687	29.5	436.25	80.687	0.065	N	0.1334
320	J013342.12+305113.0	…	16.667	15.657	15.648	70.129	69.15	207	72.708	69.15	30.832	77.342	153.5	77.556	77.342	0.027	N	0.0803
321	J013342.15+304231.6	…	16.106	15.301	15.24	17.287	41.381	156.5	100	100	422.348	93.363	284	3500	93.363	0.103	U	0.1079
322	J013342.16+301946.6	…	16.447	15.599	15.267	14.159	603.224	1186.5	498.571	498.571	14.144	191.564	194.5	268.462	191.564	0.033	N	0.0743
323	J013342.35+303608.3	…	15.458	14.605	14.294	226.892	33.824	492	498.571	33.824	33.745	177.435	509	1163.333	177.435	0.198	U	0.1723
324	J013342.45+303631.3	…	16.211	15.284	15.018	137.513	194.061	955.5	872.5	872.5	103.98	197.078	591.5	205.294	197.078	0.081	N	0.1314
325	J013342.90+302225.0	…	–	–	–	29.565	152.861	158	349	152.861	169.312	29.394	105.5	183.684	29.394	0.043	N	0.0963
326	J013342.93+303847.3	…	15.429	14.482	14.551	–	–	–	–	–	–	–	–	–	–	–	–	–
327	J013342.95+304221.0	…	15.346	14.709	14.376	12.196	12.21	1200	583.333	12.196	396.069	188.006	186.5	350	396.069	0.111	U	0.136
328	J013343.18+302117.3	…	16.125	14.968	14.737	43.474	242.012	471.5	290.833	242.012	2681.889	29.505	29.5	3490	29.5	0.062	N	0.0976
329	J013343.35+303438.1	…	15.916	14.952	14.786	14.291	1543.353	1469.5	1745	1745	14.292	128.279	383.5	387.778	383.5	0.053	N	0.0907
330	J013343.44+304534.6	…	–	–	–	1078.61	1297.118	1041	1163.333	1163.333	20.002	26.224	80.5	134.231	26.224	0.072	N	0.1225
331	J013343.47+302938.4	…	15.885	15.052	14.907	45.363	1550.46	1558	1745	1550.46	64.332	168.187	332	290.833	168.187	0.183	L	0.1134
332	J013343.61+301920.0	…	16.565	15.96	15.637	10.386	351.88	1033	349	351.88	10.388	62.566	126.5	145.417	62.566	0.029	N	0.0708
333	J013343.72+304055.9	…	–	–	–	12.912	22.971	95	350	12.912	360.062	11.144	47	291.667	11.144	0.233	U	0.1002
334	J013343.72+304157.2	…	15.784	15.049	14.704	17.334	17.321	190	437.5	17.321	21.807	38.132	190	205.882	38.132	0.108	U	0.0957
335	J013343.81+303928.4	…	16.45	15.595	15.355	–	–	–	–	–	–	–	–	–	–	–	–	–
336	J013343.93+302455.9	…	16.206	15.19	14.952	332.436	264.261	2171	3490	264.261	326.421	167.195	333.5	3490	3490	0.064	N	0.0812
337	J013344.12+302251.7	…	16.056	15.08	14.928	416.942	281.105	1189	1163.333	281.105	1240.401	1470.069	1529	1745	1745	0.049	N	0.079
338	J013344.21+301939.8	…	16.847	16.016	15.39	14.957	407.516	406.5	387.778	387.778	14.96	35.778	29.5	85.122	35.778	0.028	N	0.0628
339	J013344.43+303227.9	…	15.91	15.075	14.814	142.173	11.265	23	102.941	23	611.578	27.367	27.5	350	350	0.238	U	0.1541
340	J013344.48+303317.7	…	15.616	14.867	14.446	12.851	33.752	1170	3500	3500	12.877	22.835	443	583.333	22.835	0.198	U	0.1334
341	J013344.58+302117.7	…	16.174	15.6	15.189	156.192	313.365	1149	318.182	313.365	313.371	134.664	824.5	1166.667	1166.667	0.107	N	0.1247
342	J013344.82+305124.8	…	16.116	15.416	14.958	1550.502	497.394	1539	1745	1745	360.189	376.584	1143.5	436.25	376.584	0.141	L	0.1028
343	J013344.83+302304.5	…	16.333	15.588	15.077	23.05	1653.822	1129.5	1745	1745	40.553	187.226	381	387.778	381	0.057	N	0.0895
344	J013345.00+304332.2	…	15.951	15.198	14.97	18.222	18.263	154	139.6	18.263	11.028	122.503	11.5	134.231	122.503	0.127	U	0.1358
345	J013345.21+305441.8	…	–	–	–	80.806	30.801	974	1163.333	30.801	34.897	18.895	35	183.684	18.895	0.027	N	0.1065
346	J013345.22+303138.2	…	14.935	14.227	13.872	560.057	1270.89	1013	583.333	560.057	3478.247	1638.512	2176.5	3500	3500	0.294	S	0.1163
347	J013345.27+302256.4	…	16.656	16.079	15.637	12.184	29.441	59	872.5	29.441	69.369	862.872	1249	872.5	862.872	0.036	N	0.0842
348	J013345.67+304437.3	…	15.565	14.634	14.404	369.648	189.842	910	388.889	369.648	12.32	12.716	855	129.63	12.32	0.324	U	0.0797
349	J013345.71+303609.8	…	15.036	14.266	13.841	720.375	740.275	766.5	698	740.275	98.89	14.43	762	3490	14.43	0.303	S	0.1016
350	J013345.76+304443.4	…	15.366	14.479	14.216	556.282	573.427	1644.5	581.667	556.282	2111.342	147.336	52	258.519	147.336	0.049	N	0.0857
351	J013346.17+304530.5	…	16.242	15.196	15.042	810.058	2611.307	2412	3490	3490	724.322	242.32	483.5	698	242.32	0.105	L	0.1031
352	J013346.24+305201.6	…	15.961	15.524	14.684	115.588	20.926	21	249.286	20.926	20.931	138.107	539.5	158.636	138.107	0.082	N	0.0839
353	J013346.30+301945.7	…	–	–	–	33.897	11.433	184	218.125	11.433	33.949	46.587	185.5	349	349	0.022	N	0.0906
354	J013346.57+303157.8	…	16.301	15.99	15.143	13.033	436.176	384.5	3490	384.5	356.309	2362.614	2085	3490	3490	0.049	N	0.0741
355	J013346.57+305331.2	…	16.61	15.936	14.95	131.433	319.582	928.5	1163.333	319.582	131.433	1012.556	895	872.5	895	0.03	N	0.0841
356	J013346.61+304125.4	…	14.917	14.163	13.831	27.937	296.651	1507.5	3490	296.651	298.442	148.215	1008	387.778	387.778	0.194	N	0.1414
357	J013346.66+303423.2	…	16.482	15.703	15.138	45.803	257.406	258.5	872.5	257.406	247.462	616.337	619	581.667	616.337	0.069	N	0.0824
358	J013346.72+305124.8	…	15.531	14.511	14.379	367.526	1378.189	1102	1163.333	367.526	367.526	1368.682	1276.5	1163.333	1276.5	0.092	N	0.0786
359	J013346.79+302313.2	…	15.836	15.002	14.629	10.034	281.504	2077.5	3490	281.504	14.727	96.2	643.5	3490	96.2	0.056	N	0.0864
360	J013346.83+302013.8	…	16.717	15.639	15.407	512.827	534.934	970.5	581.667	512.827	47.857	161.088	1152	1163.333	1163.333	0.03	N	0.0738
361	J013346.83+303655.8	…	16.674	16.089	15.951	88.412	10.043	234	205.294	10.043	50.001	171.296	131.5	183.684	171.296	0.115	U	0.0593
362	J013347.19+304539.2	…	16.459	15.764	15.717	422.264	1272.184	1264.5	1163.333	1163.333	131.173	184.614	523.5	349	184.614	0.067	N	0.0969
363	J013347.28+301939.3	…	16.839	15.955	15.541	29.169	13.033	1095.5	498.571	13.033	64.374	34.288	1095.5	498.571	34.288	0.021	N	0.0835
364	J013347.31+304207.9	…	–	–	–	93.963	13.102	88	109.063	13.102	346.412	11.511	247.5	268.462	11.511	0.05	U	0.1011
365	J013347.42+304629.9	…	15.63	14.66	14.298	1879.608	642.835	2004	700	700	3462.436	313.752	2162.5	3500	313.752	0.226	L	0.1361
366	J013348.02+301751.3	…	15.868	14.937	14.684	29.566	80.635	273.5	290.833	80.635	29.557	263.778	1073.5	290.833	263.778	0.027	N	0.0698
367	J013348.14+304033.6	…	16.278	15.521	15.206	–	–	–	–	–	–	–	–	–	–	–	–	–
368	J013348.29+302527.5	…	–	–	–	590.667	562.208	1315.5	581.667	590.667	23.335	66.087	66	1745	66.087	0.03	N	0.0724
369	J013348.42+304513.1	…	15.643	15.13	14.864	1882.971	1474.274	1457	436.25	1882.971	19.047	19.031	255.5	387.778	19.031	0.032	N	0.071
370	J013348.43+303943.3	…	–	–	–	–	–	–	–	–	–	–	–	–	–	–	–	–
371	J013348.49+302136.0	…	–	–	–	–	–	–	–	–	–	–	–	–	–	–	–	–
372	J013348.62+305840.5	…	15.869	15.172	14.933	1072.78	1072.754	1086	1163.333	1072.754	334.115	174.701	518	581.667	334.115	0.08	L	0.0594
373	J013348.83+301913.3	…	16.005	15.122	14.845	145.501	148.104	432.5	350	148.104	29.564	83.387	669	437.5	83.387	0.026	N	0.0661
374	J013348.87+303709.3	…	16.018	15.185	15.117	11.011	170.352	325	291.667	170.352	169.482	101.255	102	218.75	101.255	0.074	N	0.1728
375	J013349.08+304248.4	…	16.785	15.628	15.568	14.67	233.51	466	350	233.51	11.837	200.658	318.5	350	200.658	0.065	N	0.1211
376	J013349.09+305221.1	…	15.769	14.84	14.677	109.952	1640.178	1712	1745	1745	1854.806	223.24	663.5	698	698	0.128	N	0.0915
377	J013349.12+303239.0	…	16.422	15.462	15.322	810.136	34.733	902	250	810.136	49.172	13.327	263	250	13.327	0.107	U	0.1185
378	J013349.32+303226.1	…	15.729	14.848	14.646	12.18	305.47	1238.5	1750	305.47	12.316	175.133	1061	1750	175.133	0.102	N	0.0925
379	J013349.83+303224.6	…	15.663	14.824	14.448	1421.284	519.869	1518.5	498.571	519.869	1474.317	1155.268	1435	1163.333	1435	0.205	N	0.1158
380	J013349.91+303301.4	…	16.575	16.308	15.063	30.999	104.421	104.5	77.778	104.5	31.038	52.238	52	55.118	52	0.052	N	0.1002
381	J013349.99+304314.1	…	15.865	15.011	14.81	16.372	291.706	419.5	291.667	291.667	293.005	172.938	501	350	172.938	0.132	I	0.1441
382	J013350.01+304126.0	…	15.387	14.734	14.051	196.701	1445.881	392.5	1163.333	1445.881	11.403	122.733	241.5	112.581	122.733	0.037	N	0.0599
383	J013350.16+303156.6	…	16.543	15.788	15.417	13.775	1050.001	1057	1163.333	1050.001	902.09	117.496	118.5	116.333	117.496	0.037	N	0.101
384	J013350.53+303817.6	…	16.791	16.291	16.056	39.763	10.334	10	498.571	39.763	56.921	1013.007	10	3490	56.921	0.564	–	0.0002
385	J013350.62+303230.3	…	14.004	13.258	12.876	775.233	754.563	814.5	698	775.233	606.911	585.398	1251	581.667	581.667	0.17	S	0.0883
386	J013350.81+302159.7	…	16.118	15.309	14.972	364.155	1492.181	1403.5	1745	1492.181	365.496	129.122	932.5	268.462	129.122	0.059	N	0.0642
387	J013350.81+304015.9	…	15.825	14.932	14.442	–	–	–	–	–	–	–	–	–	–	–	–	–
388	J013350.84+304403.1	…	14.696	13.884	13.453	534.944	1448.604	511	1745	534.944	1470.105	1350.074	1359	1745	1470.105	0.127	S	0.0777
389	J013350.90+303242.9	…	16.079	15.392	15.136	267.105	287.608	286	290.833	286	10.969	29.597	59	56.29	29.597	0.07	N	0.0971
390	J013351.47+303640.3	…	14.89	14.016	13.55	215.488	1028.288	946.5	1163.333	1028.288	1102.579	424.059	1662.5	436.25	424.059	0.26	I	0.1088
391	J013351.50+305548.8	…	16.101	15.308	15.077	13.171	793.84	1001.5	872.5	1001.5	12.096	103.418	493	218.125	103.418	0.061	N	0.0755
392	J013351.53+305201.0	…	16.46	15.511	15.439	173.787	567.028	632.5	581.667	581.667	137.345	218.328	1611	3490	218.328	0.07	N	0.095
393	J013351.97+303855.6	…	15.161	14.308	13.989	–	–	–	–	–	–	–	–	–	–	–	–	–
394	J013352.15+304006.4	…	15.227	14.401	14.115	–	–	–	–	–	–	–	–	–	–	–	–	–
395	J013352.27+305634.6	…	16.712	15.786	14.75	–	–	–	–	–	–	–	–	–	–	–	–	–
396	J013352.83+305605.2	…	14.897	14.079	13.725	254.116	252.173	489.5	268.462	254.116	3481.829	2067.312	2260	3490	3490	0.099	S	0.0793
397	J013352.94+301919.6	…	16.57	15.726	15.495	97.525	119.195	590.5	3490	119.195	14.565	606.91	2387	3490	2387	0.028	N	0.0737
398	J013353.04+303819.8	…	–	–	–	–	–	–	–	–	–	–	–	–	–	–	–	–
399	J013353.53+303418.7	…	15.224	14.371	14.056	–	–	–	–	–	–	–	–	–	–	–	–	–
400	J013353.60+303210.6	…	16.352	15.883	15.243	10.116	112.692	340.5	124.643	112.692	12.506	24.093	802	174.5	24.093	0.065	N	0.1161
401	J013353.61+305611.1	…	16	15.172	14.874	12.407	1108.721	1264	1163.333	1264	14.559	148.437	290	145.417	148.437	0.1	N	0.0724
402	J013353.91+302641.8	…	14.896	14.055	13.62	671.712	655.484	1809	698	655.484	270.02	941.044	2025.5	3490	3490	0.294	S	0.1147
403	J013354.03+304354.7	…	16.438	15.623	15.38	20.956	85.97	106.5	350	85.97	86.359	19.118	106.5	145.833	19.118	0.065	U	0.1005
404	J013354.32+301724.6	…	15.231	14.366	13.958	286.292	312.61	979	318.182	312.61	272.757	85.641	1633.5	233.333	85.641	0.095	N	0.2287
405	J013354.39+305617.1	…	16.063	15.161	14.932	708.801	1378.189	1124.5	1163.333	1378.189	713.9	351.257	1123	349	351.257	0.042	N	0.0605
406	J013354.42+305855.4	…	15.374	14.59	14.237	2111.322	245.315	979	268.462	245.315	2111.322	2307.657	1764.5	1745	2111.322	0.072	S	0.0744
407	J013354.96+304559.7	…	15.611	14.662	14.455	1908.31	346.958	1360.5	387.778	346.958	1667.767	451.046	466.5	436.25	451.046	0.12	N	0.1422
408	J013355.05+304024.4	…	15.882	14.923	14.723	–	–	–	–	–	–	–	–	–	–	–	–	–
409	J013355.29+305234.9	…	15.681	14.963	14.677	480.543	415.188	426.5	436.25	415.188	414.33	207.812	2126	3490	207.812	0.232	S	0.1051
410	J013355.63+304044.1	…	15.871	15.38	14.976	15.734	25.329	11.5	350	15.734	24.808	21.337	11.5	500	24.808	0.215	–	0.0122
411	J013356.02+303453.8	…	16.076	15.5	15.437	369.774	35.3	312.5	350	369.774	10.544	10.563	167	152.174	10.563	0.156	U	0.1225
412	J013356.19+304024.5	…	16.537	15.355	15.106	14.598	14.58	3295	151.739	14.58	18.452	10.85	2934.5	105.758	18.452	0.158	–	0.0183
413	J013356.26+303258.7	…	16.383	15.616	15.313	14.285	33.563	956	875	875	1100.461	136.368	132	152.174	136.368	0.066	N	0.1242
414	J013356.59+304123.6	…	16.308	15.53	15.335	38.922	192.12	568	387.778	192.12	612.544	104.178	1651.5	193.889	104.178	0.088	N	0.1906
415	J013356.84+304001.4	…	15.256	14.493	13.895	69.865	19.734	1045.5	3490	69.865	13.506	99.919	1452.5	387.778	13.506	0.208	–	0.0019
416	J013357.03+303517.1	…	16.17	15.363	14.881	13.329	12.807	224	1163.333	1163.333	72.338	55.817	49.5	205.294	55.817	0.192	U	0.0797
417	J013357.08+303355.4	…	15.483	14.737	14.398	540.995	524.422	558.5	500	540.995	18.36	93.329	185.5	97.222	93.329	0.182	U	0.1286
418	J013357.08+303817.8	…	14.703	13.919	13.526	–	–	–	–	–	–	–	–	–	–	–	–	–
419	J013357.11+304751.4	…	16.717	15.842	15.649	902.152	973.255	1266	875	973.255	62.384	227.878	1675.5	241.379	227.878	0.059	N	0.0769
420	J013357.14+302039.8	…	–	–	–	77.014	1359.324	1409	872.5	1359.324	237.967	353.761	677.5	698	353.761	0.034	N	0.0781
421	J013357.17+303310.5	…	16.146	15.359	14.901	210.936	10.818	320	700	210.936	18.134	53.694	11	700	18.134	0.12	–	0
422	J013357.44+302508.8	…	15.557	14.65	14.306	465.878	1514.968	1423	1745	1514.968	457.291	203.967	615.5	193.889	203.967	0.071	L	0.0612
423	J013357.64+303313.1	…	16.494	15.408	15.172	–	–	–	–	–	–	–	–	–	–	–	–	–
424	J013357.69+303851.1	…	15.902	15.161	14.683	–	–	–	–	–	–	–	–	–	–	–	–	–
425	J013357.85+303717.9	…	15.627	14.678	14.353	19.081	590.357	1130	583.333	583.333	315.866	1502.72	1319	3500	3500	0.398	S	0.0888
426	J013357.91+303338.9	…	14.999	14.312	13.964	1520.737	1471.995	1475.5	1745	1520.737	275.876	33.873	52	268.462	33.873	0.202	U	0.1113
427	J013357.99+304850.0	…	15.261	14.424	14.145	1787.966	1600.487	1680.5	1745	1745	390.678	400.929	1159.5	436.25	400.929	0.151	L	0.0839
428	J013358.17+303416.1	…	15.137	14.663	14.307	1973.031	18.812	116.5	inf	1973.031	3235.771	29.415	115.5	inf	3235.771	0.205	–	0
429	J013358.38+302931.4	…	–	–	–	51.112	1549.691	902.5	1750	1750	262.734	73.603	269.5	250	73.603	0.049	N	0.0844
430	J013358.45+304801.4	…	15.993	15.388	14.896	11.188	210.679	282	1750	210.679	17.718	92.178	1523.5	1750	1750	0.054	N	0.0794
431	J013358.54+303918.5	…	16.303	15.624	15.173	535.106	145.792	73	1166.667	535.106	11.685	10.169	181.5	500	11.685	0.136	–	0
432	J013358.56+303812.7	…	16.018	15.186	14.923	–	–	–	–	–	–	–	–	–	–	–	–	–
433	J013358.57+303352.7	…	16.767	15.763	15.08	–	–	–	–	–	–	–	–	–	–	–	–	–
434	J013358.90+304031.5	…	16.581	15.909	15.29	390.768	427.877	269.5	411.765	411.765	38.334	16.767	38	112.903	38.334	0.196	U	0.0755
435	J013359.03+303350.2	…	16.182	15.226	14.977	–	–	–	–	–	–	–	–	–	–	–	–	–
436	J013359.03+303436.9	…	15.924	15.243	15.144	539.097	518.084	16.5	498.571	539.097	17.673	29.534	16.5	232.667	17.673	0.309	U	0.0067
437	J013359.20+303212.1	…	15.064	14.115	13.76	608.917	658.116	1274.5	698	658.116	330.173	1170.426	1036	1163.333	1036	0.241	S	0.1086
438	J013359.33+302230.9	…	15.588	14.739	14.413	403.383	406.681	369	387.778	403.383	346.965	182.408	349.5	349	346.965	0.177	S	0.0836
439	J013359.33+303447.5	…	–	–	–	–	–	–	–	–	–	–	–	–	–	–	–	–
440	J013359.49+303733.8	…	15.37	14.896	14.759	42.644	270.803	448	291.667	448	28	25.858	230	205.882	205.882	0.148	U	0.1103
441	J013359.65+302726.4	…	16.639	15.9	15.655	1908.31	189.009	193.5	3490	189.009	493.692	1926.782	454	3490	454	0.03	N	0.0793
442	J013359.67+302431.6	…	16.468	15.681	15.408	73.971	1481.043	1229	1163.333	1481.043	35.176	181.74	762	498.571	181.74	0.037	N	0.0675
443	J013359.88+304703.4	…	15.62	14.697	14.408	108.628	1740.886	1817.5	3490	1817.5	1696.276	139.859	280	151.739	139.859	0.066	N	0.0853
444	J013360.00+304846.4	…	–	–	–	12.969	19.64	156	125	19.64	12.963	51.927	156	129.63	51.927	0.028	N	0.1076
445	J013400.39+303338.1	…	16.357	15.58	15.294	59.991	379.486	420.5	3490	3490	52.01	47.048	13.5	116.333	47.048	0.225	U	0.1133
446	J013400.47+303847.4	…	16.307	15.406	15.244	690.244	17.18	70.5	194.444	690.244	11.212	10.05	209	388.889	11.212	0.285	–	0
447	J013400.55+302951.3	…	16.47	15.896	15.254	431.444	304.854	298	317.273	298	66.868	122.129	2104	134.231	122.129	0.187	S	0.1142
448	J013400.90+305242.5	…	16.433	15.756	15.41	15.79	1427.776	1242.5	1163.333	1427.776	30.689	27.119	82	232.667	27.119	0.016	N	0.0749
449	J013400.91+303414.9	…	14.564	13.89	13.514	1906.343	1585.993	1864.5	1750	1906.343	698.097	361.111	1077	700	700	0.08	N	0.0821
450	J013401.03+303005.4	…	16.887	15.951	15.62	31.304	31.693	149	145.417	31.693	25.343	25.269	149	1163.333	25.269	0.024	N	0.1077
451	J013401.05+303411.2	…	15.412	13.985	13.586	–	–	–	–	–	–	–	–	–	–	–	–	–
452	J013401.08+303432.2	…	15.31	14.413	14.105	12.265	12.277	95	872.5	12.277	10.351	10.309	440.5	436.25	436.25	0.269	U	0.1065
453	J013401.31+303915.6	…	15.936	15.064	14.871	11.304	59.604	3493	500	11.304	18.945	18.944	54.5	437.5	18.944	0.459	–	0.0274
454	J013401.42+304056.5	…	16.319	15.537	15.403	92.172	468.224	444	875	468.224	90.436	110.3	110	109.375	110.3	0.072	U	0.1224
455	J013401.48+302817.5	…	16.629	16.513	15.817	3481.829	618.257	1193.5	3490	3481.829	10.727	26.943	753	698	26.943	0.045	N	0.0922
456	J013401.51+302259.4	…	16.274	15.492	15.258	931.757	1007.415	1244.5	872.5	931.757	29.459	26.961	393.5	134.231	26.961	0.034	N	0.0505
457	J013401.65+303128.7	…	15.2	14.312	13.903	832.341	759.959	1110	875	759.959	733.858	277.046	552	218.75	277.046	0.24	S	0.1162
458	J013401.88+303858.3	…	14.5	14.044	13.797	19.884	18.156	319.5	317.273	19.884	15.482	15.486	40.5	183.684	15.486	0.327	U	0.1111
459	J013402.32+303828.4	…	15.004	14.14	13.795	19.776	34.276	68.5	205.294	34.276	10.795	22.789	52	205.294	10.795	0.252	U	0.1225
460	J013402.33+301749.2	…	15.241	14.482	14.087	2307.575	1538.343	1406.5	3490	2307.575	1357.397	478.238	621.5	581.667	621.5	0.296	L	0.1396
461	J013402.39+304543.8	…	15.71	14.914	14.68	35.824	469.026	1017.5	437.5	469.026	202.943	345.21	329	350	345.21	0.057	N	0.1078
462	J013402.53+304107.7	…	15.276	14.535	14.184	408.112	378.092	1032.5	387.778	387.778	137.215	260.164	2014.5	698	260.164	0.089	N	0.1058
463	J013402.77+304836.5	…	14.266	13.553	13.243	644.364	665.974	1380.5	698	644.364	3481.829	1681.859	1360.5	3490	3490	0.246	S	0.067
464	J013402.83+304413.3	…	–	–	–	91.779	51.135	35	291.667	91.779	142.07	33.592	863	145.833	142.07	0.048	U	0.0077
465	J013403.13+302136.8	…	15.742	15.083	14.831	323.232	329.667	327	349	323.232	247.771	249.009	251	249.286	247.771	0.143	S	0.0541
466	J013403.34+302611.7	…	16.226	15.411	15.558	88.442	1153.842	1630	1163.333	1163.333	40.711	693.914	2134.5	3490	3490	0.08	L	0.0803
467	J013403.61+303142.9	…	15.446	14.602	14.182	19.66	469.173	469.5	436.25	469.173	231.58	230.232	680	232.667	230.232	0.224	S	0.1043
468	J013403.73+304202.4	…	14.738	13.935	13.583	2307.719	638.134	2143.5	700	638.134	396.928	2420.253	2214	3500	2214	0.093	N	0.0732
469	J013403.85+303911.0	…	15.882	15.134	14.799	60.683	57.585	57.5	59.829	57.5	57.772	371.865	1053.5	875	371.865	0.103	N	0.1108
470	J013404.53+303207.4	…	16	15.248	14.904	22.165	1600.487	1730.5	1745	1600.487	146.252	150.691	449	166.19	150.691	0.1	N	0.0889
471	J013404.65+304838.7	…	15.97	15.199	14.973	29.398	104.839	1075.5	387.778	104.839	29.346	359.529	1075.5	349	359.529	0.04	N	0.0753
472	J013404.82+303534.0	…	15.805	14.887	14.499	1984.638	1756.296	2069.5	3500	3500	91.627	131.518	770	437.5	131.518	0.213	L	0.1141
473	J013405.09+304815.9	…	16.259	15.622	15.546	144.233	1121.24	2054.5	1163.333	1121.24	97.144	239.686	480	698	239.686	0.104	N	0.1295
474	J013405.28+302344.0	…	16.657	15.565	14.54	–	–	–	–	–	–	–	–	–	–	–	–	–
475	J013405.45+303719.2	…	16.272	15.695	15.133	138.206	137.343	137	139.6	137.343	1804.22	248.075	233.5	698	248.075	0.102	S	0.0737
476	J013405.51+303443.3	…	–	–	–	211.582	217.371	432.5	232.667	217.371	103.259	275.257	995.5	1163.333	275.257	0.14	S	0.1173
477	J013405.58+302343.0	…	15.955	15.097	13.934	190.465	29.559	29.5	183.684	29.559	192.124	14.738	1170	79.318	14.738	0.02	N	0.0508
478	J013405.99+310207.7	…	15.759	15.076	14.825	320.104	325.878	647.5	317.273	320.104	207.165	133.105	812.5	872.5	133.105	0.183	S	0.0834
479	J013406.16+304632.3	…	15.423	14.572	14.157	452.658	476.69	947.5	500	476.69	82.924	142.8	1558.5	1750	142.8	0.213	S	0.1043
480	J013406.22+304612.9	…	16.45	15.598	15.414	27.448	29.458	29.5	1166.667	29.458	29.372	1065.859	1268	1166.667	1166.667	0.061	N	0.0921
481	J013406.55+302548.3	…	15.657	14.836	14.617	369.58	98.589	416.5	387.778	98.589	371.656	403.374	416.5	436.25	416.5	0.025	N	0.0638
482	J013406.58+310133.3	…	–	–	–	11.305	47.376	1176	1163.333	1176	40.151	47.41	335.5	183.684	47.41	0.027	N	0.086
483	J013406.73+303430.1	…	15.825	15.117	14.755	27.352	295.328	873.5	1163.333	295.328	27.325	837.381	841.5	872.5	872.5	0.049	N	0.0887
484	J013406.97+302552.6	…	16.874	16.122	15.909	141.155	1481.043	1240.5	1163.333	1481.043	226.299	27.484	27.5	124.643	27.484	0.04	N	0.08
485	J013407.13+303529.1	…	16.679	15.737	15.169	43.079	23.632	156.5	79.545	43.079	44.548	11.203	95	97.222	44.548	0.191	U	0.0397
486	J013407.22+302542.4	…	16.625	15.881	15.563	33.931	1368.682	1239	1163.333	1239	33.902	29.467	59	218.125	29.467	0.03	N	0.0694
487	J013407.23+304158.8	…	15.056	14.265	14.021	255.424	259.425	795.5	268.462	255.424	204.181	205.445	639	872.5	204.181	0.074	S	0.0681
488	J013407.32+305152.0	…	15.904	15.02	14.769	123.038	202.088	595	218.125	202.088	123.19	1033.592	2155.5	872.5	1033.592	0.116	N	0.1435
489	J013407.33+304242.1	…	16.471	15.503	15.366	36.117	66.777	888	698	66.777	70.303	299.337	901.5	3490	299.337	0.029	N	0.0885
490	J013407.35+303402.3	…	15.976	15.271	14.95	13.096	1102.56	1031	1163.333	1163.333	35.114	200.06	200	436.25	200	0.104	N	0.1218
491	J013407.38+305935.0	…	15.332	14.492	14.373	610.659	462.612	1279	581.667	610.659	174.091	173.025	884	387.778	173.025	0.202	S	0.1138
492	J013407.41+304720.9	…	15.222	14.441	14.171	2995.862	10.819	3109	3490	3490	62.414	61.931	3109	31.161	62.414	31.647	–	0.0001
493	J013407.69+304628.5	…	15.224	14.524	14.134	24.839	52.992	135	205.294	52.992	12.478	255.172	1037.5	268.462	255.172	0.251	U	0.0863
494	J013407.75+302732.5	…	16.064	15.266	14.751	26.451	1114.939	1040.5	872.5	872.5	201.282	103.418	705	218.125	103.418	0.068	N	0.0793
495	J013408.01+305405.6	…	16.397	15.436	15.148	158.139	1481.043	1410	1745	1745	2391.135	119.124	239	232.667	119.124	0.117	N	0.0885
496	J013408.15+304614.0	…	16.529	15.766	15.565	32.447	59.585	85	349	59.585	20.74	100.218	101	349	20.74	0.034	N	0.1039
497	J013408.23+304548.4	…	16.348	15.495	15.434	43.303	29.501	29.5	218.125	29.501	43.275	199.447	1037.5	268.462	199.447	0.038	N	0.0843
498	J013408.42+304714.4	…	15.942	15.079	14.704	13.749	86.455	77.5	290.833	86.455	33.26	17.258	88	174.5	33.26	0.23	–	0.0048
499	J013408.71+305252.4	…	16.655	15.668	15.647	76.568	1459.258	1281.5	1745	1459.258	76.805	29.493	29.5	174.5	29.5	0.039	N	0.0992
500	J013408.79+303833.7	…	16.479	15.675	15.699	10.842	29.405	212.5	205.882	29.405	16.125	10.018	26	87.5	10.018	0.066	N	0.1256
501	J013408.93+303528.5	…	16.25	15.329	15.031	1359.344	278.736	1419	1745	1419	94.462	287.207	842.5	290.833	287.207	0.066	N	0.1023
502	J013409.10+303351.8	…	15.204	14.264	13.808	3481.829	559.043	584	581.667	584	514.156	972.848	1580	872.5	872.5	0.409	S	0.111
503	J013409.16+303846.9	…	15.181	14.394	14.075	850.37	75.96	140.5	500	850.37	49.286	10.081	145.5	583.333	49.286	0.14	–	0
504	J013409.19+304638.9	…	15.705	14.926	14.723	48.018	129.611	124.5	132.075	129.611	22.592	22.601	124.5	101.449	22.601	0.073	U	0.0553
505	J013409.34+304526.8	…	15.823	15.01	14.803	398.7	1668.252	2074.5	1745	2074.5	368.566	760.722	751	698	760.722	0.141	N	0.1163
506	J013409.36+304645.6	…	16.232	15.531	15.236	14.909	11.426	207	698	14.909	64.431	13.63	207	349	64.431	0.631	–	0.0001
507	J013409.71+304352.0	…	16.71	15.717	15.695	22.762	851.76	720.5	872.5	851.76	27.827	27.134	353	317.273	27.134	0.027	N	0.0725
508	J013409.79+304643.3	…	15.921	15.109	14.94	25.721	23.297	34.5	249.286	25.721	15.231	13.187	96.5	317.273	15.231	0.482	–	0.0063
509	J013410.07+304730.8	…	16.616	15.072	15.327	253.169	17.222	124	700	17.222	12.998	652.857	1210.5	700	652.857	0.099	U	0.1518
510	J013410.23+305314.1	…	16.538	15.732	15.826	24.796	1740.008	1718	3500	3500	16.163	19.547	395.5	129.63	19.547	0.098	N	0.1093
511	J013410.34+302502.1	…	16.232	15.486	15.317	260.077	271.221	273	269.231	273	98.601	143.046	295.5	155.556	143.046	0.129	U	0.0967
512	J013410.40+302426.7	…	15.202	14.417	14.224	3481.829	221.496	2127	698	221.496	3481.829	351.257	1945.5	3490	351.257	0.046	N	0.0532
513	J013410.47+302729.7	…	16.29	15.486	15.106	13.596	124.896	247	698	124.896	19.259	644.351	1979.5	698	698	0.043	N	0.0735
514	J013410.53+305259.5	…	15.848	15.002	14.91	81.269	1514.876	1621	1745	1621	82.008	29.558	118	109.063	29.558	0.088	N	0.0874
515	J013410.96+303209.7	…	–	–	–	29.573	1323.066	1150	1745	1323.066	29.56	368.885	360.5	349	368.885	0.027	N	0.0548
516	J013411.03+303211.8	…	16.379	15.941	15.644	294.156	1421.383	1193.5	1163.333	1193.5	27.27	29.351	764	290.833	29.351	0.068	N	0.0678
517	J013411.08+304006.4	…	16.122	15.291	15.037	12.216	1310.564	1051	1750	1310.564	23.916	221.306	222.5	218.75	222.5	0.084	N	0.1194
518	J013411.21+301848.4	…	16.788	15.965	15.738	94.383	216.217	218.5	232.667	216.217	224.159	30.942	117.5	349	30.942	0.023	N	0.062
519	J013411.55+304118.7	…	16.092	15.431	15.378	2025.145	1033.645	2259	1163.333	1033.645	63.651	163.746	2259	3490	3490	0.067	L	0.0799
520	J013411.78+302602.0	…	16.856	16.152	15.151	1195.568	1613.502	1656.5	1745	1745	68.014	29.297	962.5	498.571	29.297	0.03	N	0.0739
521	J013411.97+305245.7	…	16.497	16.206	15.453	27.348	29.511	29.5	872.5	29.511	27.329	27.138	885.5	872.5	27.329	0.036	N	0.0719
522	J013412.00+303409.2	…	16.538	15.674	15.367	206.734	211.128	459	218.125	211.128	84.131	29.449	466.5	436.25	29.449	0.055	N	0.1101
523	J013412.24+303816.4	…	15.947	15.014	14.85	1397.635	1272.184	1418.5	872.5	1272.184	190.831	188.114	762.5	698	188.114	0.078	L	0.1182
524	J013412.26+303320.6	…	15.686	14.789	14.577	347.573	330.767	629	698	629	638.149	320.614	2202.5	3490	3490	0.072	S	0.0806
525	J013412.27+305314.1	…	14.566	13.789	13.487	836.15	369.409	939	872.5	836.15	345.567	330.901	670	349	330.901	0.347	S	0.1148
526	J013412.58+304727.8	…	15.976	15.225	14.766	33.394	1429.45	1795.5	1750	1429.45	69.376	22.944	294	318.182	22.944	0.077	U	0.1321
527	J013412.88+303309.9	…	15.722	14.924	14.663	13.601	1600.487	621.5	1745	1600.487	1550.502	202.924	449	498.571	202.924	0.188	L	0.1222
528	J013412.95+302609.1	…	16.77	16.316	15.805	20.305	29.302	58.5	139.6	29.302	29.385	19.574	801.5	102.647	19.574	0.023	N	0.074
529	J013413.52+305406.7	…	16.191	15.465	15.296	82.18	1217.552	2010.5	3500	3500	42.47	121.086	607.5	437.5	121.086	0.09	N	0.1121
530	J013413.67+302753.5	…	16.423	15.756	14.973	43.753	29.524	59	698	29.524	17.605	240.85	731.5	698	698	0.033	N	0.0651
531	J013413.86+302542.6	…	–	–	–	79.601	81.112	240.5	79.318	79.601	127.386	128.563	118	116.333	128.563	0.148	U	0.0912
532	J013413.92+302540.3	…	16.215	15.543	15.386	361.501	1167.406	1278.5	1163.333	1278.5	360.844	66.889	199	129.259	129.259	0.041	N	0.0596
533	J013413.95+303339.6	…	15.058	14.153	13.743	–	–	–	–	–	–	–	–	–	–	–	–	–
534	J013414.13+304742.0	…	16.018	15.293	15.189	29.438	20.6	29.5	170.244	20.6	35.282	86.006	29.5	89.487	86.006	0.044	N	0.1562
535	J013414.14+303635.8	…	16.496	15.862	15.254	58.415	1421.222	1311.5	872.5	872.5	3292.642	29.459	1985	3490	29.459	0.043	N	0.0882
536	J013414.18+305248.0	…	15.414	14.62	14.256	369.385	1502.652	2190.5	3490	3490	390.472	922.56	1015	872.5	922.56	0.241	L	0.1011
537	J013414.23+303233.9	…	16.061	15.3	14.602	368.208	1756.296	2077	3490	2077	398.523	328.577	342	349	349	0.125	L	0.0772
538	J013414.28+304254.2	…	16.037	15.235	14.856	285.972	1575.076	1657	1745	1745	28.515	177.355	664	317.273	177.355	0.114	N	0.1012
539	J013414.38+302434.5	…	15.601	14.953	14.611	86.779	1696.238	1710	3490	3490	3481.829	283.92	589	436.25	436.25	0.298	L	0.1137
540	J013414.53+303557.7	…	15.491	14.55	14.297	1256.103	1248.175	2444.5	1163.333	1163.333	15.766	405.021	2264	387.778	387.778	0.143	N	0.1073
541	J013414.53+305402.3	…	16.717	15.613	14.983	116.176	474.264	930	872.5	930	116.675	27.118	81.5	120.345	27.118	0.062	N	0.1137
542	J013414.59+311134.9	…	16.853	16.037	15.792	13.205	963.4	1020.5	872.5	963.4	14.573	358.878	498	349	358.878	0.031	N	0.0701
543	J013414.91+305547.6	…	15.758	15.102	14.709	384.621	1002.325	814.5	872.5	1002.325	387.625	170.498	814.5	387.778	387.625	0.065	N	0.0691
544	J013415.07+303729.3	…	15.617	14.709	14.496	349.164	146.38	997.5	349	146.38	1000.05	851.854	990.5	872.5	990.5	0.102	U	0.109
545	J013415.10+303747.4	…	16.483	15.606	15.257	44.124	146.629	436	290.833	146.629	54.999	10.666	433	387.778	10.666	0.084	U	0.1555
546	J013415.10+303858.0	…	16.814	16.061	15.679	52.324	1448.604	1105.5	1745	1448.604	29.889	80.153	384.5	75.87	80.153	0.025	N	0.0682
547	J013415.28+305531.6	…	15.787	14.976	14.618	26.529	341.584	347	349	347	33.949	116.058	978.5	436.25	116.058	0.116	N	0.079
548	J013415.36+302824.1	…	15.382	14.594	14.292	405.029	1387.829	1266	1163.333	1387.829	396.928	332.987	402.5	387.778	402.5	0.095	N	0.0704
549	J013415.38+311001.1	…	16.958	15.951	16.16	11.784	351.257	1912	349	351.257	11.792	43.714	88	872.5	43.714	0.025	N	0.0766
550	J013415.39+305339.3	…	17.012	15.88	15.529	19.406	15.589	1606	436.25	15.589	35.534	78.913	1636	436.25	436.25	0.053	N	0.1132
551	J013415.47+310527.8	…	15.912	15.001	14.898	689.112	642.265	1055.5	698	698	1264.103	1387.829	1073	1163.333	1387.829	0.05	N	0.0586
552	J013415.82+303732.0	…	14.957	14.753	14.367	654.981	628.007	630	698	654.981	318.554	317.52	320	3490	318.554	0.167	N	0.0857
553	J013415.94+303733.7	…	–	–	–	11.147	13.276	2689	158.636	11.147	20.924	25.362	3469	218.125	20.924	0.468	–	0.0015
554	J013416.28+303353.5	…	15.128	14.315	14.012	772.234	726.961	1217	698	772.234	555.922	557.473	1170	436.25	557.473	0.139	N	0.078
555	J013416.32+304935.8	…	16.883	15.864	16.124	35.625	29.432	765.5	872.5	872.5	12.204	29.502	29.5	124.643	29.502	0.033	N	0.0878
556	J013416.33+303158.5	…	16.14	15.348	14.837	110.197	432.374	471	872.5	432.374	430.508	115.923	234	129.259	115.923	0.032	N	0.075
557	J013416.46+304750.6	…	16.237	15.31	15.237	18.343	124.732	611.5	194.444	124.732	19.992	112.958	612	318.182	112.958	0.055	N	0.1121
558	J013416.53+303318.4	…	16.587	15.771	15.444	20.897	122.224	624	872.5	122.224	59.117	208.075	624	872.5	208.075	0.043	N	0.1022
559	J013416.75+304518.5	…	15.598	14.829	14.453	421.368	480.534	965	498.571	480.534	487.627	323.752	1406.5	349	323.752	0.355	S	0.1348
560	J013416.89+305158.3	…	15.089	14.147	13.81	–	–	–	–	–	–	–	–	–	–	–	–	–
561	J013417.04+303411.7	…	–	–	–	32.329	242.49	246	250	246	60.112	28.499	13	388.889	28.499	0.202	U	0.1446
562	J013417.47+305325.5	…	16.795	15.575	15.604	71.095	157.957	462.5	387.778	157.957	26.539	14.724	232.5	349	14.724	0.051	N	0.1069
563	J013417.58+305647.7	…	16.442	15.734	15.853	10.888	1550.46	1466.5	1745	1550.46	252.499	234.309	736	698	736	0.03	N	0.0702
564	J013417.83+303356.0	…	14.969	14.055	13.636	203.619	204.715	952	317.273	203.619	320.169	1728.907	952	3490	3490	0.084	N	0.0998
565	J013418.13+303741.5	…	–	–	–	14.589	29.398	118	700	29.398	14.572	671.258	354	583.333	671.258	0.06	N	0.1382
566	J013418.56+303808.6	…	13.842	13.243	12.875	614.439	610.646	682	583.333	610.646	97.048	27.526	343	350	343	0.081	N	0.2041
567	J013418.58+304447.8	…	16.447	15.726	14.806	844.529	1044.528	1203.5	872.5	872.5	29.525	29.493	29.5	109.063	29.5	0.038	N	0.0594
568	J013418.78+302846.0	…	15.922	15.222	14.827	29.472	79.068	390	1745	1745	29.454	78.911	390	183.684	78.911	0.033	N	0.0604
569	J013418.79+303806.2	…	15.379	14.582	13.296	–	–	–	–	–	–	–	–	–	–	–	–	–
570	J013419.67+303700.1	…	15.983	15.138	15.007	39.677	147.226	1971.5	1745	1971.5	1926.837	144.545	606.5	349	144.545	0.07	N	0.0892
571	J013419.72+304934.6	…	16.098	15.299	15.014	27.25	766.254	682	872.5	766.254	387.625	87.197	613.5	99.714	87.197	0.043	N	0.0753
572	J013419.98+303022.1	…	16.249	15.437	15.139	68.177	1653.822	1988	1163.333	1653.822	122.282	145.285	437.5	151.739	145.285	0.035	N	0.08
573	J013419.98+304436.7	…	15.812	14.894	14.562	12.019	1710.864	1755	3490	3490	3481.829	173.328	518	232.667	173.328	0.322	N	0.1052
574	J013420.20+303418.4	…	15.671	15.094	14.94	784.444	1340.95	1227.5	872.5	1227.5	663.76	240.558	619	698	663.76	0.069	N	0.0703
575	J013420.24+304848.5	…	15.984	15.214	14.859	161.484	1514.968	1419	3490	1419	290.577	163.207	327.5	317.273	163.207	0.102	N	0.0839
576	J013420.85+304445.3	…	16.832	16.037	15.578	1232.697	760.381	1127	698	760.381	1756.321	29.458	381.5	349	29.458	0.03	N	0.0807
577	J013420.87+310543.0	…	–	–	–	3481.829	2544.335	2231.5	3490	3490	16.942	29.581	810	698	29.581	0.041	N	0.0765
578	J013421.22+302504.7	…	–	–	–	181.081	253.461	253	268.462	268.462	182.412	36.637	181.5	94.324	36.637	0.028	N	0.0858
579	J013421.43+303905.0	…	15.488	14.666	14.518	482.881	518.172	1031	498.571	518.172	10.104	1028.288	987.5	1163.333	1028.288	0.209	S	0.0997
580	J013421.55+305541.3	…	15.426	14.627	14.404	698.818	231.575	967	232.667	231.575	1526.648	1710.864	2195	1745	1745	0.217	S	0.099
581	J013423.29+305655.0	…	14.773	13.966	13.692	823.503	870.436	894.5	872.5	870.436	291.859	293.58	1447.5	581.667	293.58	0.31	S	0.0912
582	J013423.37+311050.2	…	15.959	15.48	15.164	242.325	110.194	439.5	249.286	110.194	243.514	94.55	241.5	145.417	94.55	0.032	N	0.0668
583	J013423.50+303452.1	…	17.103	16.089	15.758	51.589	65.498	197.5	872.5	65.498	236.267	29.181	59	698	29.181	0.032	N	0.0914
584	J013424.15+304412.6	…	16.59	15.915	15.659	42.173	1575.076	382.5	387.778	387.778	47.265	69.006	1818.5	1745	69.006	0.047	N	0.097
585	J013424.26+305642.8	…	15.525	14.669	14.313	19.549	1681.859	1802.5	3490	3490	2795.271	257.406	740	249.286	257.406	0.21	N	0.1099
586	J013424.76+304521.1	…	16.582	15.972	16.013	13.24	29.52	65.5	872.5	29.52	13.24	65.412	132	581.667	65.412	0.037	N	0.0808
587	J013425.12+303555.8	…	–	–	–	72.698	646.45	1172.5	698	698	17.15	411.743	392	387.778	411.743	0.033	N	0.0699
588	J013425.57+305056.2	…	15.852	14.948	14.562	289.729	338.668	652	698	652	665.987	323.752	1795.5	1745	1745	0.143	I	0.0969
589	J013425.59+311113.1	…	–	–	–	29.516	346.353	676.5	698	346.353	29.564	138.783	138	581.667	138.783	0.028	N	0.0717
590	J013425.76+302941.3	…	–	–	–	79.737	36.985	237.5	134.231	79.737	61.558	36.985	237.5	129.259	36.985	0.022	N	0.0804
591	J013425.80+302610.5	…	16.839	16.204	15.662	286.798	81.07	486.5	498.571	486.5	167.622	81.103	82	151.739	81.103	0.024	N	0.0714
592	J013425.86+304615.2	…	16.669	15.956	15.382	17.995	1217.552	1177.5	1163.333	1163.333	851.778	229.169	435	387.778	387.778	0.061	N	0.0703
593	J013426.72+304459.2	…	16.45	15.37	15.65	17.541	78.879	384.5	109.063	78.879	240.271	180.912	380	183.684	180.912	0.032	N	0.097
594	J013426.93+303021.5	…	16.682	16.107	15.833	16.462	132.218	81	151.739	132.218	71.032	80.642	80.5	89.487	80.642	0.017	N	0.0618
595	J013427.17+303124.8	…	15.982	15.21	14.966	10.402	1538.438	2190.5	1745	1538.438	1448.644	142.163	679.5	218.125	142.163	0.063	N	0.0776
596	J013427.50+304436.2	…	16.543	15.755	15.546	12.334	29.233	1119.5	872.5	29.233	10.382	367.519	734	698	367.519	0.033	N	0.0942
597	J013427.65+305642.4	…	14.824	14.115	13.901	2362.67	261.131	1736	3490	2362.67	522.274	527.819	516.5	498.571	522.274	0.19	L	0.0667
598	J013427.69+303723.5	…	17.067	16.174	15.668	13.855	72.272	367.5	349	367.5	772.234	28.11	115	96.944	28.11	0.055	N	0.0977
599	J013427.91+303623.1	…	15.908	15.012	14.888	2321.801	13.278	46.5	3500	3500	57.9	10	34.5	205.882	205.882	3.755	–	0
600	J013428.55+304810.9	…	–	–	–	610.659	638.134	1253.5	872.5	638.134	20.448	27.302	1247	1163.333	27.302	0.045	N	0.1063
601	J013428.71+302856.2	…	15.997	15.193	14.946	958.764	228.115	1056.5	872.5	228.115	1012.573	1127.612	1086	1163.333	1086	0.095	L	0.0748
602	J013428.72+304022.1	…	–	–	–	124.742	29.297	461.5	1163.333	29.297	124.663	1640.178	446	3490	446	0.03	N	0.0716
603	J013428.88+304250.1	…	16.7	15.814	15.605	12.373	1044.528	117.5	872.5	872.5	12.833	108.33	117.5	174.5	108.33	0.03	N	0.0815
604	J013428.95+305704.8	…	16.495	15.546	15.167	21.115	1448.604	929	1750	1448.604	73.396	29.665	29.5	175	29.665	0.04	N	0.085
605	J013429.37+305138.5	…	–	–	–	153.491	506.275	1010	498.571	498.571	152.313	170.939	328	290.833	170.939	0.091	N	0.1414
606	J013429.51+310027.1	…	16.096	15.224	14.866	121.534	1787.917	1954.5	3490	3490	1028.312	652.831	643.5	698	643.5	0.087	N	0.0675
607	J013429.93+304038.2	…	15.942	14.11	13.805	1147.192	1147.171	1172.5	1163.333	1147.171	222.244	99.032	1135.5	436.25	99.032	0.042	N	0.0559
608	J013430.06+302948.9	…	17.109	15.853	15.891	310.586	331.873	299	317.273	317.273	189.194	48.334	145.5	112.581	48.334	0.024	N	0.0772
609	J013430.21+305726.2	…	16.279	15.756	15.532	855.449	240.85	716	698	240.85	12.208	29.533	59	1745	29.533	0.045	N	0.0841
610	J013430.35+304530.0	…	16.684	15.738	15.478	83.875	59.461	235	583.333	59.461	44.936	19.518	234	583.333	19.518	0.037	N	0.096
611	J013430.45+302629.0	…	16.393	15.614	15.359	44.123	2089.035	2180	3490	3490	21.224	183.759	376.5	205.294	183.759	0.06	N	0.0713
612	J013430.52+303602.2	…	16.287	15.442	15.25	20.964	1514.968	1197.5	698	1514.968	24.144	573.585	1113.5	581.667	573.585	0.029	N	0.0705
613	J013430.75+303218.8	…	14.703	13.795	13.381	746.106	737.768	1456	698	737.768	1820.773	294.015	1627	1745	294.015	0.284	S	0.0878
614	J013430.97+303212.6	…	–	–	–	417.819	33.495	185.5	581.667	33.495	420.475	442.005	443.5	3490	442.005	0.015	N	0.0735
615	J013431.53+302820.6	…	16.808	15.966	15.806	2391.135	2229.903	1875	3490	2391.135	79.449	249.949	725.5	698	249.949	0.057	N	0.0851
616	J013431.75+305122.1	…	15.975	15.067	14.72	987.384	304.386	663.5	317.273	304.386	302.999	115.923	682	698	115.923	0.051	N	0.077
617	J013431.84+302721.5	…	15.162	14.445	14.308	549.762	581.994	586.5	581.667	549.762	373.053	203.967	808.5	387.778	203.967	0.381	S	0.1397
618	J013432.03+304006.9	…	16.2	15.106	15.164	107.394	172.424	522.5	498.571	172.424	475.933	506.275	1547.5	1163.333	506.275	0.063	N	0.0887
619	J013432.16+303112.4	…	17.012	16.182	15.996	66.177	66.934	1086.5	872.5	66.934	65.306	878.14	1882.5	872.5	878.14	0.023	N	0.074
620	J013432.36+304159.0	…	15.209	14.368	14.172	552.825	548.231	555	581.667	548.231	288.465	285.144	574	3490	285.144	0.41	S	0.0992
621	J013432.57+305537.2	…	16.028	15.219	14.918	397.724	354.393	363	349	354.393	11.9	189.37	563.5	205.294	189.37	0.177	S	0.1069
622	J013432.80+305526.0	…	16.842	16.269	15.735	119.557	1378.189	1095.5	1163.333	1163.333	118.628	259.425	383.5	268.462	259.425	0.028	N	0.08
623	J013433.10+303749.8	…	15.835	15.041	14.869	263.565	262.166	263	268.462	263.565	2611.372	2450.14	2183.5	3490	2611.372	0.075	S	0.0582
624	J013433.20+303544.1	…	16.82	15.686	15.376	22.875	763.306	826.5	872.5	763.306	29.957	29.577	293	116.333	29.577	0.021	N	0.0736
625	J013433.95+304947.1	…	15.895	15.08	14.913	273.367	293.58	606.5	290.833	293.58	1061.306	751.744	986	698	698	0.077	S	0.0911
626	J013433.97+303754.3	…	15.928	14.92	14.764	289.306	1626.73	546	268.462	289.306	146.902	148.771	459	290.833	148.771	0.055	L	0.0743
627	J013434.04+304559.1	…	16.217	15.211	15.054	44.015	1872.274	2033.5	3490	3490	42.525	338.668	1309.5	349	338.668	0.343	L	0.1164
628	J013434.35+302627.3	…	14.71	13.85	13.465	210.009	237.962	713.5	698	237.962	237.967	146.357	731.5	698	146.357	0.3	S	0.1301
629	J013434.57+305826.6	…	16.518	15.808	15.814	1350.097	197.866	1079	1163.333	1163.333	191.938	193.431	586.5	387.778	193.431	0.064	L	0.0923
630	J013434.97+303235.0	…	17.015	16.092	15.671	16.29	1503.488	626.5	268.462	1503.488	16.296	210.679	811	205.294	210.679	0.011	N	0.0604
631	J013435.03+303631.1	…	16.541	15.75	15.208	816.725	360.181	720.5	698	360.181	878.16	243.211	720.5	872.5	243.211	0.028	N	0.0665
632	J013435.72+304021.7	…	–	–	–	229.704	256.74	785	249.286	256.74	409.205	49.16	98.5	3490	49.16	0.04	N	0.0916
633	J013435.74+304353.0	…	15.552	14.663	14.295	568.665	117.501	2094	268.462	117.501	235.147	313.028	1783.5	1745	1745	0.047	N	0.103
634	J013436.34+304154.7	…	15.736	14.919	14.592	159.923	159.662	488	1745	159.923	29.679	1323.066	1591	1745	1591	0.062	N	0.107
635	J013436.45+305446.0	…	16.783	15.904	15.545	977.656	1368.682	1327	1163.333	1163.333	53.77	249.635	1874	3490	249.635	0.049	N	0.0868
636	J013436.55+305544.7	…	16.652	16.096	15.572	870.457	1272.184	1477	872.5	872.5	33.885	46.554	317.5	317.273	46.554	0.024	N	0.0734
637	J013436.65+304517.1	…	14.993	14.218	13.97	1964.992	914.562	2106.5	1745	1964.992	760.399	732.327	1560.5	698	732.327	0.192	L	0.0685
638	J013437.14+304146.9	…	15.662	15.099	14.628	12.202	162.078	480	436.25	162.078	161.532	236.08	235	232.667	236.08	0.235	U	0.2639
639	J013437.49+304149.5	…	15.795	14.982	14.744	1562.711	1538.438	1689	1745	1538.438	640.207	650.69	643.5	698	643.5	0.175	L	0.0855
640	J013437.50+304507.4	…	16.281	15.351	14.966	15.321	870.436	943	872.5	943	15.283	237.109	232.5	232.667	237.109	0.079	N	0.0884
641	J013437.91+303047.0	…	–	–	–	11.319	29.683	848	232.667	29.683	17.865	16.559	855	183.684	16.559	0.022	N	0.0753
642	J013438.16+305537.8	…	16.398	15.907	15.351	19.864	76.331	382	387.778	76.331	13.131	84.165	388	139.6	84.165	0.032	N	0.0642
643	J013438.35+304626.1	…	15.656	14.929	14.545	19.788	20.919	108.5	218.125	19.788	22.253	10.457	47	498.571	22.253	0.227	–	0.0117
644	J013438.42+304147.7	…	16.785	16.355	15.716	29.139	139.859	516.5	698	139.859	29.135	29.537	59	872.5	29.537	0.036	N	0.0802
645	J013438.42+304553.3	…	15.843	15.156	14.882	11.85	365.996	303	349	365.996	107.701	29.589	29.5	61.228	29.589	0.102	U	0.1708
646	J013438.76+304608.1	…	15.175	14.381	14.02	2832.287	1723.989	1811.5	3500	2832.287	922.14	771.438	839.5	700	922.14	0.139	N	0.0823
647	J013438.77+304612.8	…	15.98	15.106	14.531	14.856	21.797	640	349	21.797	14.894	10	623	436.25	10	0.055	U	0.0962
648	J013438.79+303850.1	…	16.266	15.514	15.513	134.097	132.572	1175	218.125	132.572	1314.333	1232.666	1175	1163.333	1314.333	0.027	N	0.0498
649	J013438.95+304531.7	…	15.818	14.73	14.486	50.41	149.781	920	1745	149.781	87.545	440.044	1807.5	1745	1807.5	0.091	N	0.1074
650	J013439.24+304155.8	…	15.692	14.838	14.62	1127.638	1096.467	1053	1163.333	1163.333	355.034	347.566	696	349	349	0.076	L	0.0635
651	J013439.89+304201.0	…	16.734	15.856	15.747	426.078	15.965	147.5	437.5	426.078	11.684	43.677	1270.5	152.174	11.684	0.46	–	0.0219
652	J013440.62+305138.3	…	16.676	15.86	15.447	27.655	29.591	29.5	1166.667	29.591	490.743	1089.336	1110	875	875	0.022	N	0.067
653	J013440.63+304456.5	…	15.952	15.081	14.969	14.606	1514.968	1026	436.25	436.25	76.45	308.167	1652.5	349	308.167	0.158	I	0.128
654	J013440.76+302733.7	…	15.669	14.896	14.534	740.538	382.389	395.5	387.778	387.778	539.305	1121.24	1037	1163.333	1163.333	0.267	S	0.0894
655	J013440.93+310407.0	…	15.712	14.942	14.703	525.038	519.529	988	498.571	519.529	840.95	384.612	802	872.5	840.95	0.335	S	0.1481
656	J013440.97+304507.7	…	16.911	16.225	15.932	958.764	885.983	586	872.5	958.764	17.102	98.589	117	139.6	98.589	0.029	N	0.0836
657	J013441.03+304641.0	…	16.502	15.686	15.556	193.435	197.08	1297.5	1163.333	197.08	353.139	1248.175	1029.5	1163.333	1163.333	0.046	N	0.0862
658	J013441.22+303801.6	…	16.348	15.644	15.454	10.004	1044.528	1018	872.5	1018	3481.829	205.658	417	205.294	205.294	0.07	N	0.0728
659	J013441.28+305625.5	…	16.851	16.078	16.258	317.036	59.508	1145.5	581.667	59.508	10.444	542.241	1145.5	581.667	581.667	0.027	N	0.0754
660	J013441.54+303855.2	…	15.205	14.466	14.304	249.955	255.747	505	249.286	249.955	2157.22	1640.178	1843.5	3490	2157.22	0.228	S	0.0813
661	J013441.55+303845.2	…	15.947	14.983	14.738	757.497	362.816	758	387.778	387.778	395.347	232.934	678	698	232.934	0.129	S	0.0861
662	J013441.72+302638.5	…	17.138	16.223	15.87	1167.437	1264.079	471	1163.333	1163.333	28.016	26.903	473	158.636	26.903	0.029	N	0.0973
663	J013441.76+303832.7	…	15.452	14.702	14.553	265.682	1696.238	1740.5	3490	3490	703.774	240.558	466	698	466	0.323	L	0.1193
664	J013442.04+304254.0	…	16.146	15.452	15.24	137.727	58.56	1314.5	498.571	58.56	138.014	681.993	808.5	498.571	681.993	0.023	N	0.0655
665	J013442.05+304540.2	…	15.346	14.531	14.258	597.784	595.976	949.5	581.667	597.784	346.965	347.566	1073	349	346.965	0.119	S	0.0887
666	J013442.40+303654.1	…	16.696	16.182	15.922	28.96	958.745	881	872.5	872.5	548.244	58.716	762	436.25	58.716	0.054	N	0.0649
667	J013442.72+303427.6	…	16.666	15.819	15.379	1820.773	1587.68	1585.5	1745	1745	25.936	89.396	180.5	349	89.396	0.041	N	0.0764
668	J013442.74+304533.4	…	16.075	15.167	14.86	25.243	351.88	346	349	351.88	349.409	157.633	482.5	436.25	157.633	0.115	N	0.1793
669	J013442.75+303723.9	…	16.614	15.025	14.913	28.986	27.503	238	120.345	27.503	10.257	116.879	235.5	116.333	116.333	0.022	N	0.0817
670	J013443.07+310125.9	…	16.773	16.101	15.042	113.643	22.362	245.5	500	500	113.441	22.382	245.5	63.636	22.382	0.024	N	0.0771
671	J013443.13+302813.9	…	16.916	16.139	15.774	1044.549	1096.467	2087	3490	3490	940.589	102.669	103.5	872.5	102.669	0.038	N	0.0957
672	J013443.23+310941.7	…	–	–	–	455.193	430.498	443.5	1745	443.5	10.525	36.057	217.5	139.6	36.057	0.038	N	0.0932
673	J013443.47+304659.7	…	–	–	–	35.377	1538.438	1236.5	1745	1745	35.345	18.654	613.5	205.294	18.654	0.029	N	0.0889
674	J013444.11+303558.1	…	16.22	15.512	14.939	177.042	171.086	524	387.778	171.086	2046.023	268.189	1587.5	1745	268.189	0.063	N	0.0773
675	J013444.14+304425.8	…	16.542	15.76	15.476	24.068	29.524	762	500	29.524	24.047	581.994	761	583.333	581.994	0.03	N	0.0675
676	J013444.18+310824.6	…	16.512	15.554	15.275	345.757	347.566	1118.5	349	345.757	910.386	977.632	1146	872.5	977.632	0.035	N	0.0607
677	J013444.22+303551.6	…	16.19	15.611	15.115	230.772	231.036	685.5	232.667	230.772	686.727	708.788	807.5	581.667	708.788	0.045	N	0.0495
678	J013444.32+303700.3	…	16.027	15.393	14.907	21.816	1288.693	1644	1745	1745	1600.518	153.488	444.5	151.739	153.488	0.08	N	0.0684
679	J013444.60+303725.5	…	16.367	15.722	15.392	16.167	156.761	615	581.667	156.761	157.137	571.932	573	581.667	581.667	0.036	N	0.0803
680	J013445.45+304528.2	…	16.818	16.358	15.862	19.872	237.392	241	698	698	19.87	121.979	103.5	3490	121.979	0.032	N	0.0833
681	J013445.65+303235.4	…	15.196	14.352	13.98	599.59	540.763	1392.5	581.667	599.59	350.025	350.018	1811.5	1745	1811.5	0.192	S	0.0845
682	J013445.69+304433.8	…	16.479	15.887	15.678	552.825	587.161	545.5	581.667	552.825	238.252	67.138	265.5	3490	67.138	0.043	N	0.0737
683	J013445.76+305430.5	…	16.43	16.054	15.747	67.139	343.951	335	349	349	67.712	61.961	270.5	105.758	61.961	0.041	N	0.087
684	J013446.95+303611.5	…	–	–	–	315.023	1387.829	1200	1163.333	1200	175.167	91.288	90.5	65.849	91.288	0.033	N	0.1042
685	J013447.36+310841.5	…	16.474	15.643	15.422	35.889	342.764	1020.5	3490	3490	35.863	99.578	699	349	349	0.038	N	0.0611
686	J013447.84+305521.6	…	16.636	16.098	15.973	13.345	652.831	734	698	652.831	13.338	60.304	242.5	105.758	60.304	0.024	N	0.0778
687	J013448.35+303550.2	…	16.349	15.671	15.207	13.07	231.575	533.5	581.667	231.575	13.078	931.741	1127	581.667	931.741	0.05	N	0.0861
688	J013452.56+305546.4	…	16.409	15.495	15.272	11.704	1710.864	2059.5	3490	3490	11.389	294.889	649.5	290.833	294.889	0.285	N	0.1008
689	J013452.67+305308.9	…	16.611	15.86	15.921	11.068	1022.987	757	872.5	872.5	874.292	79.162	428.5	205.294	79.162	0.037	N	0.0733
690	J013454.03+303352.4	…	15.799	15.34	14.994	161.879	159.919	483.5	3490	159.919	1964.992	2004.651	1184	1745	2004.651	0.029	N	0.0523
691	J013454.31+304109.8	…	14.708	14.099	13.772	610.659	632.039	1809.5	698	632.039	1023.012	465.868	1815	1163.333	1023.012	0.263	S	0.143
692	J013455.65+304349.0	…	15.039	14.276	13.89	3481.829	458.337	1290.5	317.273	458.337	3481.829	143.603	578	3490	3490	0.207	N	0.1
693	J013455.69+303212.9	…	16.791	16.155	15.615	83.67	105.732	1055	1163.333	105.732	126.41	855.432	1701	872.5	872.5	0.036	N	0.0904
694	J013458.28+310916.0	…	16.717	15.783	15.527	98.141	79.11	175	3500	79.11	22.127	44.246	49	388.889	44.246	0.025	U	0.0274
695	J013458.31+304844.8	…	16.653	16.227	15.746	19.572	20.545	133.5	583.333	19.572	25.755	24.296	89	583.333	583.333	0.044	U	0.0388
696	J013458.63+303203.2	…	–	–	–	15.306	189.085	36.5	388.889	388.889	14.746	28.701	67	583.333	28.701	0.14	U	0.0469
697	J013458.77+304151.7	…	16.333	15.524	15.269	117.378	49.42	83.5	152.174	117.378	48.968	51.483	49	101.449	48.968	0.151	U	0.0445
698	J013459.07+304154.9	…	15.7	14.788	14.588	208.938	329.203	213	218.75	213	13.701	10.645	26.5	194.444	13.701	0.15	U	0.0427
699	J013459.14+310621.5	…	16.585	15.681	15.511	161.554	92.999	207.5	184.211	92.999	461.647	26.95	115.5	1166.667	461.647	0.066	U	0.0365
700	J013500.04+303703.8	…	15.103	14.26	13.922	731.282	2360.885	475.5	205.882	731.282	114.137	89.523	336.5	159.091	114.137	0.281	U	0.0569
701	J013500.58+305001.0	…	17.167	15.886	15.555	31.936	100.646	29.5	269.231	100.646	10.648	10.745	21.5	700	10.745	0.046	U	0.0365
702	J013502.31+304013.4	…	–	–	–	67.595	81.449	67.5	250	67.595	24.771	27.71	551.5	318.182	27.71	0.061	U	0.0351
703	J013503.33+304121.5	…	–	–	–	67.817	68.289	67.5	269.231	67.817	22.562	22.564	73.5	233.333	22.564	0.041	U	0.0305
704	J013504.39+304622.8	…	–	–	–	625.076	68.758	776	250	250	75.009	10.04	33	205.882	75.009	1.011	–	0
705	J013504.43+311049.5	…	16.712	15.931	16.034	94.765	95.581	94.5	152.174	94.765	27.331	29.312	88	1750	27.331	0.107	U	0.0453
706	J013505.35+303028.7	…	–	–	–	1899.652	1991.08	510.5	1750	1750	15.512	14.695	136.5	159.091	136.5	0.219	U	0.0714
707	J013506.97+304514.6	…	15.767	15.013	14.734	61.07	20.052	217	249.286	61.07	57.565	11.385	40	249.286	11.385	0.381	U	0.0403
708	J013507.43+304132.6	…	15.044	14.204	13.935	113.822	2233.24	176.5	1750	113.822	26.167	26.112	104.5	1166.667	26.112	0.124	U	0.0423
709	J013507.53+304208.4	…	–	–	–	–	–	–	–	–	–	–	–	–	–	–	–	–
710	J013507.63+305150.7	…	15.834	15.157	14.767	1796.41	343.575	224	1750	1796.41	182.821	71.665	226.5	81.395	71.665	0.202	U	0.0333
711	J013507.84+303240.9	…	16.558	15.792	15.336	161.396	327.897	125	1750	327.897	21.202	22.969	22	116.667	21.202	0.212	U	0.1042
712	J013509.18+304819.5	…	–	–	–	160.456	338.648	113	155.556	160.456	31.795	33.837	38	107.692	31.795	0.493	U	0.0442
713	J013512.44+304634.8	…	16.157	15.436	15.309	21.109	14.657	946	21.084	21.084	20.961	42.113	946	20.958	20.958	1.978	–	0.0007
714	J013515.94+305130.8	…	16.397	15.668	15.062	–	–	–	–	–	–	–	–	–	–	–	–	–
715	J013517.78+304608.6	…	16.713	15.818	15.694	–	–	–	–	–	–	–	–	–	–	–	–	–
716	J013520.36+310252.0	…	16.187	15.457	15.013	–	–	–	–	–	–	–	–	–	–	–	–	–
717	J013522.87+304840.6	…	16.615	15.738	15.247	–	–	–	–	–	–	–	–	–	–	–	–	–

Table 6. Table 7: Parameters of RSGs in M31

ID	LGGS	…	J	H	Ks	GLS	DFT	PDM	WWZ	Period	GLS-2	DFT-2	PDM-2	WWZ-2	Period-2	Amplitude	type	RMS
1	J003703.64+402014.9	…	16.583	15.704	15.72	–	–	–	–	–	–	–	–	–	–	–	–	–
2	J003721.98+401543.3	…	–	–	–	–	–	–	–	–	–	–	–	–	–	–	–	–
3	J003722.34+400012.1	…	16.045	15.368	15.026	–	–	–	–	–	–	–	–	–	–	–	–	–
4	J003723.56+401715.5	…	15.697	14.872	14.833	–	–	–	–	–	–	–	–	–	–	–	–	–
5	J003724.48+401823.3	…	16.236	15.006	15.11	–	–	–	–	–	–	–	–	–	–	–	–	–
6	J003732.94+400015.8	…	15.934	15.094	14.96	–	–	–	–	–	–	–	–	–	–	–	–	–
7	J003739.41+395835.0	…	16.146	15.359	15.132	–	–	–	–	–	–	–	–	–	–	–	–	–
8	J003739.88+395838.7	…	14.935	14.091	13.872	–	–	–	–	–	–	–	–	–	–	–	–	–
9	J003740.80+402404.0	…	16.28	15.235	15.361	–	–	–	–	–	–	–	–	–	–	–	–	–
10	J003744.04+395840.4	…	16.797	16.012	15.771	–	–	–	–	–	–	–	–	–	–	–	–	–
11	J003744.94+402050.1	…	15.836	15.149	14.481	–	–	–	–	–	–	–	–	–	–	–	–	–
12	J003754.08+395919.8	…	16.078	15.142	14.812	–	–	–	–	–	–	–	–	–	–	–	–	–
13	J003807.59+395116.5	…	16.167	15.626	15.166	–	–	–	–	–	–	–	–	–	–	–	–	–
14	J003808.87+395203.3	…	15.11	14.237	14.099	–	–	–	–	–	–	–	–	–	–	–	–	–
15	J003825.04+404015.3	…	16.604	15.574	15.328	1855.824	1726.698	1774.5	1745	1855.824	243.648	118.056	472.5	249.286	243.648	0.141	N	0.0428
16	J003828.16+403302.5	…	15.686	14.986	14.692	2920.193	1726.698	1470.5	3490	2920.193	116.057	102.461	507.5	232.667	102.461	0.11	L	0.0316
17	J003829.23+403100.2	…	14.981	14.131	13.912	418.931	428.877	1715	387.778	418.931	603.566	554.665	1106	249.286	603.566	0.093	S	0.0624
18	J003831.33+403230.1	…	16.218	15.33	14.886	1926.871	1696.238	1378	1750	1926.871	102.886	82.726	206	205.882	82.726	0.038	N	0.022
19	J003853.65+404522.0	…	16.294	15.397	15.004	2920.193	2047.125	1962	3490	2920.193	110.564	89.165	331.5	290.833	89.165	0.048	N	0.0358
20	J003857.29+404053.6	…	16.211	15.254	14.958	596.316	1641.066	1395	1745	1641.066	30.734	118.833	1523.5	387.778	387.778	0.126	N	0.0446
21	J003902.20+403907.3	…	16.127	15.168	14.759	10.927	127.452	257.5	139.6	127.452	10.216	1061.875	1050	1163.333	1061.875	0.028	N	0.0263
22	J003902.23+403235.0	…	16.822	15.737	15.388	1018.324	1438.911	1254.5	1163.333	1438.911	215.139	61.325	225	218.125	218.125	0.017	N	0.0256
23	J003903.28+403042.7	…	15.297	14.485	14.321	852.245	1449.422	1396	872.5	852.245	387.082	1855.804	2006	387.778	387.082	0.187	N	0.0896
24	J003907.69+402859.5	…	14.931	14.047	13.62	469.44	467.224	466.5	436.25	469.44	689.49	719.456	1377.5	698	689.49	0.238	S	0.0382
25	J003907.98+402922.1	…	15.659	14.826	14.514	184.548	342.363	1012	249.286	184.548	834.341	997.835	998	872.5	834.341	0.046	N	0.0335
26	J003909.73+402950.6	…	–	–	–	242.754	241.276	720.5	698	241.276	45.86	75.675	703	581.667	75.675	0.024	N	0.0324
27	J003910.56+402545.6	…	14.9	14.05	13.659	10.017	1470.891	1598	872.5	872.5	21.141	2005.777	1616	387.778	2005.777	0.309	I	0.1037
28	J003912.64+402654.3	…	16.635	15.891	15.549	1418.379	1588.562	1272	1745	1418.379	421.599	242.158	1241.5	387.778	421.599	0.04	N	0.026
29	J003912.77+404412.1	…	15.531	14.646	14.34	553.128	2206.337	2177.5	3490	3490	161.049	198.769	465	387.778	198.769	0.144	N	0.0666
30	J003913.40+403714.2	…	15.607	14.689	14.486	97.819	1668.669	1322	1745	1745	107.105	109.829	340.5	183.684	109.829	0.141	N	0.0574
31	J003915.67+403559.0	…	15.853	15.071	14.804	147.968	1726.698	623	1745	147.968	330.955	2090.214	655.5	698	655.5	0.064	I	0.034
32	J003917.31+402412.4	…	16.303	15.565	15.198	137.516	1741.857	332	1745	1741.857	66.257	108.272	285	145.417	108.272	0.027	N	0.0238
33	J003919.85+403759.9	…	15.547	14.862	14.483	315.195	332.613	661	1745	315.195	19.55	17.182	263	139.6	17.182	0.018	N	0.0138
34	J003921.18+402611.9	…	16.386	15.677	15.39	196.802	196.215	625	698	196.802	797.482	781.769	666	698	698	0.045	N	0.0349
35	J003923.76+401852.6	…	15.908	14.872	14.729	245.152	344.142	257.5	249.286	249.286	138.186	57.49	1443.5	1745	1443.5	0.109	S	0.0477
36	J003928.05+404354.2	…	–	–	–	281.664	35.245	560.5	581.667	581.667	279.68	35.289	279	112.581	279.68	0.013	N	0.0242
37	J003928.40+404404.8	…	16.686	15.828	15.737	57.826	1315.028	1074.5	1163.333	1074.5	68.285	63.4	1072.5	232.667	63.4	0.013	N	0.0243
38	J003928.83+401925.0	…	16.232	15.338	14.989	212.605	1174.964	1155	872.5	872.5	111.683	96.16	2211	218.125	96.16	0.103	N	0.0312
39	J003929.26+404344.8	…	15.94	14.814	14.486	254.908	202.993	1038.5	387.778	254.908	653.201	319.759	1021.5	218.125	218.125	0.169	S	0.1314
40	J003930.30+404353.4	…	16.184	15.47	15.031	701.672	336.56	328	3490	328	803.94	55.374	297	102.647	55.374	0.032	N	0.0208
41	J003932.48+402326.5	…	16.359	15.573	14.996	3483.739	1873.291	1417.5	1745	3483.739	141.032	119.837	681	268.462	119.837	0.157	N	0.0737
42	J003934.20+402017.3	…	15.819	14.955	14.774	1460.097	27.423	1442.5	1745	1460.097	27.538	54.929	54.5	124.643	27.538	0.119	N	0.0685
43	J003935.03+402421.2	…	16.26	15.656	15.186	1050.651	1601.384	1495.5	581.667	1601.384	392.437	400.343	1198.5	436.25	392.437	0.02	N	0.0273
44	J003935.31+405220.5	…	16.71	15.723	15.332	76.404	1408.292	1326.5	1163.333	1163.333	76.286	64.117	777.5	71.224	64.117	0.031	N	0.0269
45	J003935.86+402705.7	…	15.588	14.751	14.404	33.622	350.83	2177.5	387.778	350.83	11.204	1711.801	2155.5	3490	3490	0.038	N	0.0449
46	J003936.90+405120.5	…	15.5	14.628	14.441	978.193	352.074	1024	387.778	352.074	418.931	910.871	1970.5	872.5	910.871	0.115	S	0.0492
47	J003937.19+402014.2	…	15.879	15.416	15.245	23.19	329.304	313	349	313	37.723	119.047	313	317.273	119.047	0.118	I	0.1263
48	J003937.41+401908.5	…	15.828	14.954	14.791	567.351	342.953	373.5	583.333	342.953	383.345	485.501	1993.5	437.5	485.501	0.32	S	0.133
49	J003940.67+405125.4	…	15.693	14.858	14.515	26.827	345.34	1208	350	345.34	428.877	1034.222	1247.5	1166.667	1034.222	0.127	N	0.058
50	J003942.92+402051.1	…	15.067	14.03	13.67	483.505	483.48	1093.5	500	483.48	208.972	26.758	1088.5	159.091	26.758	0.07	N	0.0563
51	J003943.89+402104.6	…	15.307	14.118	13.75	2720.138	1757.253	2107	3500	3500	287.783	605.397	1161.5	583.333	583.333	0.222	N	0.0428
52	J003944.05+403234.5	…	–	–	–	336.565	337.704	335.5	349	337.704	206.417	100.593	425.5	1745	1745	0.035	N	0.0258
53	J003947.20+403854.1	…	15.968	15.343	14.947	39.946	1460.067	1198.5	1163.333	1198.5	88.807	58.403	440	218.125	218.125	0.03	N	0.0238
54	J003947.54+402915.3	…	15.956	15.068	14.77	2231.159	1788.909	305.5	3490	2231.159	154.893	92.229	306	193.889	154.893	0.052	N	0.0399
55	J003948.45+403131.5	…	15.305	14.935	14.534	312.714	329.304	619.5	498.571	312.714	17.185	17.194	637.5	436.25	17.185	0.011	N	0.0114
56	J003948.86+405304.2	…	16.35	15.519	15.164	220.148	244.544	962.5	1163.333	244.544	209.024	202.622	955.5	872.5	955.5	0.037	N	0.0344
57	J003950.65+402531.8	…	15.034	14.099	13.922	121.675	1588.562	1322	1745	1588.562	124.341	292.876	548.5	268.462	292.876	0.137	I	0.0759
58	J003950.86+405332.0	…	15.78	14.919	14.436	763.743	1772.955	1364	1745	1772.955	1272.905	342.363	1351	387.778	387.778	0.311	I	0.1182
59	J003950.98+405422.5	…	15.396	14.48	14.233	31.032	1927.859	2197	698	698	77.116	1966.027	1907	218.125	1966.027	0.162	I	0.0853
60	J003951.33+405303.7	…	14.021	13.231	12.838	983.035	1588.562	1030.5	1163.333	983.035	3483.739	2612.74	2155.5	3490	3490	0.152	S	0.0446
61	J003954.26+404004.4	…	15.413	14.536	14.198	217.973	220.879	1349.5	218.125	218.125	442.256	601.728	1329	581.667	601.728	0.111	N	0.0678
62	J003957.00+410114.6	…	16.355	15.247	14.947	1332.706	131.069	1614.5	1745	1745	458.598	114.648	1000.5	498.571	114.648	0.083	N	0.0451
63	J004004.32+401411.5	…	16.273	15.761	14.797	526.719	554.665	634	498.571	498.571	56.525	15.208	168.5	205.294	15.208	0.013	N	0.015
64	J004013.47+400524.9	…	15.792	14.897	14.501	11.436	199.167	406.5	387.778	387.778	286.541	207.492	1394.5	232.667	207.492	0.147	S	0.0685
65	J004015.18+405947.7	…	15.508	14.687	14.255	229.035	1838.607	2120	3490	2120	186.804	192.786	378	232.667	378	0.186	L	0.0623
66	J004015.52+402927.5	…	16.456	15.353	15.241	78.117	1527.464	2170	1163.333	1163.333	80.918	80.425	2170	183.684	80.918	0.035	N	0.0294
67	J004015.86+405514.1	…	–	–	–	329.856	337.131	630	581.667	329.856	439.321	38.334	634.5	698	38.334	0.022	N	0.0228
68	J004017.69+403443.6	…	16.236	15.408	14.974	636.452	612.869	661.5	698	661.5	87.055	60.614	550	112.581	60.614	0.05	N	0.0314
69	J004017.92+400512.9	…	15.423	14.718	14.362	1073.368	968.636	1253.5	1163.333	1073.368	170.889	126.478	507.5	232.667	170.889	0.097	N	0.0476
70	J004018.21+402959.5	…	15.896	15.312	14.411	1575.977	1588.562	1389	1745	1389	173.73	207.275	657	232.667	173.73	0.107	N	0.0552
71	J004019.15+404150.8	…	15.778	14.969	14.649	247.289	1805.184	1256	1745	247.289	945.586	313.202	1287.5	290.833	290.833	0.094	N	0.0514
72	J004020.06+410651.3	…	15.532	14.48	14.747	189.298	1805.184	2026	3490	3490	186.454	150.204	534.5	205.294	186.454	0.039	N	0.0174
73	J004021.05+402444.3	…	–	–	–	377.515	348.369	395.5	387.778	387.778	214.674	97.482	201	205.294	214.674	0.036	N	0.0348
74	J004021.05+402921.9	…	16.371	15.465	15.416	69.773	84.176	679	193.889	84.176	176.196	746.503	691.5	698	691.5	0.02	N	0.0306
75	J004023.81+403351.8	…	15.668	14.85	14.793	2135.195	1757.253	1917	1745	2135.195	153.933	154.289	633	317.273	633	0.143	N	0.0413
76	J004023.84+410458.6	…	16.637	15.588	15.688	15.595	119.477	304	349	119.477	15.384	319.244	1468	317.273	317.273	0.066	N	0.0874
77	J004023.89+403554.7	…	16.183	15.358	15.128	59.919	83.749	962.5	872.5	872.5	32.074	84.069	208.5	232.667	84.069	0.058	N	0.0457
78	J004024.52+404444.8	…	15.362	14.325	14.085	3448.646	1786.991	2110	1745	2110	439.76	216.964	213.5	218.125	213.5	0.107	N	0.0679
79	J004025.36+404623.1	…	15.743	15.056	15.287	218.452	214.67	1367	1163.333	214.67	560.941	132.116	1490	581.667	1490	0.185	N	0.1102
80	J004025.75+404254.8	…	–	–	–	–	–	–	–	–	–	–	–	–	–	–	–	–
81	J004026.66+405019.7	…	15.575	14.76	14.311	1772.974	1726.698	1791	1745	1791	110.935	184.202	548.5	183.684	183.684	0.214	N	0.0573
82	J004026.79+404346.4	…	15.282	14.442	14.102	167.386	1046.113	1159.5	1166.667	1166.667	167.671	231.649	502.5	233.333	233.333	0.134	I	0.0531
83	J004027.07+403710.5	…	16.515	15.708	15.433	179.838	255.183	273	233.333	255.183	177.105	54.286	201.5	94.595	54.286	0.028	N	0.0404
84	J004027.36+410444.9	…	14.595	13.615	13.344	699.201	594.52	1292.5	698	698	282.465	295.932	1250.5	290.833	282.465	0.277	S	0.0746
85	J004027.44+410728.5	…	16.237	15.811	15.15	13.928	65.708	328.5	317.273	65.708	823.955	322.879	1141.5	387.778	387.778	0.027	N	0.0282
86	J004027.70+404317.3	…	16.196	15.646	15.278	37.257	277.918	276	268.462	276	22.417	59.037	81.5	52.09	59.037	0.051	U	0.0578
87	J004028.99+403427.4	…	16.272	15.553	15.277	41.029	1416.932	259.5	1163.333	1416.932	41.38	84.198	256.5	94.324	84.198	0.027	N	0.0292
88	J004029.03+403412.6	…	15.266	14.381	13.986	1460.097	1563.551	1479.5	1745	1460.097	197.193	254.251	998	249.286	249.286	0.104	N	0.0416
89	J004029.07+404210.0	…	16.269	15.224	15.183	498.927	1563.551	987.5	1166.667	498.927	105.736	176.193	566.5	175	175	0.096	N	0.0427
90	J004029.08+404003.6	…	16.067	15.441	15.208	–	–	–	–	–	–	–	–	–	–	–	–	–
91	J004030.09+404448.1	…	16.95	15.959	15.783	112.77	59.527	21.5	76.087	112.77	12.127	30.82	146.5	72.917	30.82	0.19	U	0.0922
92	J004030.43+410244.6	…	16.175	15.526	15.265	133.539	1601.384	1553	1745	1553	128.693	134.078	400	145.417	134.078	0.223	N	0.0539
93	J004030.64+404246.2	…	14.835	13.993	13.672	471.606	513.134	1318	498.571	471.606	747.452	733.595	1544.5	698	747.452	0.107	S	0.0523
94	J004030.92+404329.3	…	15.173	14.269	13.881	82.371	56.116	225	50.58	56.116	73.485	10.817	220.5	45.921	10.817	0.253	U	0.1415
95	J004031.00+404311.1	…	14.365	13.487	13.151	664.54	613.027	626.5	583.333	664.54	324.831	97.699	315.5	46.667	324.831	0.23	U	0.0636
96	J004031.18+403659.5	…	–	–	–	648.279	79.731	1753.5	875	79.731	65.578	1255.509	1753.5	875	875	0.03	N	0.0486
97	J004031.52+404538.2	…	15.843	14.948	14.754	17.237	859.276	843	872.5	872.5	17.272	114.674	331	98.31	114.674	0.08	U	0.0915
98	J004031.92+404313.0	…	16.326	15.308	15.094	396.605	1438.849	1151	1166.667	1166.667	379.323	21.7	400	85.366	21.7	0.154	U	0.12
99	J004032.38+404519.3	…	16.037	15.11	14.89	110.624	110.431	220	498.571	110.431	1701.461	508.624	472	1745	472	0.048	N	0.0426
100	J004032.89+410155.1	…	16.077	15.393	15.134	88.807	285.302	1564	1163.333	1163.333	17.709	136.1	2058	205.294	136.1	0.138	N	0.0508
101	J004033.56+403647.5	…	15.557	14.746	14.651	272.391	274.268	1353	1163.333	272.391	48.898	58.958	1360	1163.333	58.958	0.077	N	0.061
102	J004033.84+404658.2	…	15.235	14.701	14.444	3478.483	2278.943	2185	3490	3490	1166.315	1083.447	1067	1163.333	1166.315	0.227	N	0.0345
103	J004034.92+410819.4	…	16.268	15.957	15.284	77.659	1527.464	1337	1163.333	1337	109.891	109.829	219	205.294	109.891	0.05	N	0.0369
104	J004035.08+404522.3	…	14.441	13.606	13.186	1018.308	507.851	998.5	500	1018.308	1741.843	332.057	1689	291.667	332.057	0.16	S	0.0853
105	J004035.16+404105.2	…	15.715	15.451	14.686	309.786	327.133	307.5	1745	309.786	306.44	154.77	307.5	158.636	158.636	0.112	S	0.0527
106	J004036.08+403823.1	…	15.761	14.856	14.529	532.368	337.704	1373	387.778	337.704	973.398	823.94	894	872.5	823.94	0.194	S	0.0943
107	J004036.21+404616.1	…	16.249	15.499	15.179	430.738	567.344	2135	3500	2135	421.592	820.54	720.5	875	820.54	0.038	N	0.0289
108	J004039.94+402429.3	…	16.594	15.682	15.674	25.705	326.596	314	1163.333	314	12.924	10.093	314	139.6	10.093	0.069	N	0.065
109	J004044.41+404402.6	…	15.628	14.644	14.402	10.571	560.931	544	581.667	560.931	554.674	112.504	550	698	112.504	0.083	N	0.0358
110	J004046.88+405253.1	…	16.208	15.437	15.064	21.633	1493.005	953.5	1163.333	1163.333	68.615	105.119	565	349	105.119	0.033	N	0.0275
111	J004047.22+404445.5	…	14.36	13.446	13.096	677.724	610.986	1456	698	677.724	3151.954	2256.47	2162	3490	3151.954	0.253	S	0.0484
112	J004047.82+410936.4	…	14.765	13.886	13.47	–	–	–	–	–	–	–	–	–	–	–	–	–
113	J004047.84+405602.6	…	15.276	14.509	14.21	769.663	830.834	1955.5	698	769.663	43.404	245.148	480	387.778	387.778	0.066	N	0.0422
114	J004047.91+405240.8	…	–	–	–	13.49	1697.188	619.5	3490	3490	13.464	58.836	881	205.294	58.836	0.024	N	0.0203
115	J004050.87+410541.1	…	15.899	15.126	14.611	23.015	30.453	2477	46.053	23.015	91.797	12.512	2477	92.105	91.797	0.49	–	0
116	J004052.31+404356.1	…	16.214	15.7	15.442	–	–	–	–	–	–	–	–	–	–	–	–	–
117	J004059.30+403601.1	…	15.707	15.031	14.696	373.013	351.528	368	350	368	42.198	160.205	627.5	218.75	160.205	0.201	S	0.07
118	J004059.50+404542.6	…	14.406	13.582	13.229	1239.647	1542.21	1199	1166.667	1239.647	697.026	600.799	1213	700	700	0.277	S	0.0625
119	J004100.89+410918.4	…	15.221	14.717	15.309	1641.1	1697.188	1639	1745	1641.1	406.08	411.97	356	387.778	406.08	0.027	N	0.0211
120	J004101.02+403506.1	…	15.275	14.485	14.205	234.536	242.956	237	250	237	930.697	328.171	984	291.667	328.171	0.323	S	0.1144
121	J004103.45+410456.4	…	–	–	–	2090.211	1654.752	1786.5	1750	1750	98.84	100.237	195	175	98.84	0.094	N	0.0647
122	J004103.55+410750.0	…	15.618	14.617	14.374	14.297	185.233	744	205.294	185.233	47.156	784.862	803.5	698	784.862	0.103	N	0.0499
123	J004105.97+403407.9	…	14.099	13.795	13.75	156.851	1614.387	1632.5	1745	1614.387	104.843	92.573	93.5	134.231	93.5	0.022	N	0.0221
124	J004107.11+411635.6	…	14.352	13.593	13.268	253.282	252.634	2134	268.462	252.634	541.071	343.547	2145	349	541.071	0.052	N	0.0451
125	J004108.42+410655.3	…	15.167	14.236	13.792	162.233	538.129	573.5	581.667	573.5	927.912	240.109	962.5	268.462	927.912	0.244	I	0.0864
126	J004109.61+404920.4	…	15.254	14.492	14.07	58.011	288.619	1626	1163.333	1626	146.44	442.249	448	436.25	436.25	0.294	L	0.0817
127	J004112.27+403835.8	…	16.481	15.497	15.644	44.553	269.065	1473	387.778	269.065	35.289	69.357	490	166.19	69.357	0.018	N	0.0234
128	J004112.38+410918.5	…	15.639	14.937	14.406	214.906	578.921	2157	3490	3490	27.653	165.89	818.5	268.462	165.89	0.104	N	0.0523
129	J004113.64+411318.7	…	16.165	15.314	15.24	24.784	1627.631	1499	1745	1745	26.402	89.648	353.5	349	353.5	0.018	N	0.0337
130	J004114.18+403759.8	…	14.676	13.824	13.358	1073.368	1408.292	1809	1163.333	1073.368	242.754	664.112	2061	232.667	664.112	0.419	S	0.0925
131	J004114.22+411732.7	…	16.147	15.832	15.202	310.271	932.253	1149	1163.333	932.253	18.531	121.598	372.5	218.125	121.598	0.063	N	0.0383
132	J004114.99+411709.1	…	16.137	15.247	14.985	91.466	61.496	286	151.739	61.496	150.093	146.222	300	349	146.222	0.033	N	0.0339
133	J004115.35+405025.2	…	16.151	15.794	15.241	95.376	96.206	95.5	96.944	95.5	38.754	47.471	142.5	183.684	47.471	0.136	S	0.0287
134	J004118.29+404940.3	…	15.131	14.229	13.897	28.98	1757.253	1468	3490	3490	16.803	102.408	499	349	349	0.29	I	0.0631
135	J004120.25+403838.1	…	14.855	14.045	13.659	2421.624	551.584	1938	1745	2421.624	485.509	478.483	1018	498.571	485.509	0.191	L	0.0329
136	J004120.96+404125.3	…	15.376	14.599	14.161	1927.894	323.404	1756.5	1745	1745	432.621	136.662	670.5	193.889	136.662	0.152	N	0.0584
137	J004120.99+404902.5	…	16.27	15.633	15.179	62.229	1654.752	1705	1745	1745	25.126	102.461	102.5	349	102.461	0.081	N	0.0373
138	J004121.42+403412.7	…	15.438	14.504	14.174	1256.792	898.505	1414.5	1163.333	1256.792	807.208	221.618	1414.5	436.25	807.208	0.113	N	0.0505
139	J004122.48+411312.9	…	15.731	14.988	14.404	62.681	1821.759	567	3490	3490	189.84	127.862	610.5	174.5	127.862	0.094	N	0.0401
140	J004124.16+403445.5	…	16.323	15.455	15.353	526.719	1551.326	1276	1163.333	1163.333	62.171	186.801	186.5	218.125	186.801	0.051	N	0.0296
141	J004124.80+411634.7	…	14.709	13.719	13.128	530.662	567.028	558	583.333	583.333	1515.02	117.432	1746	269.231	269.231	0.396	S	0.1186
142	J004124.81+411206.1	…	15.321	14.491	14.036	13.392	81.415	195	205.882	205.882	10.724	12.103	10.5	97.222	97.222	0.237	U	0.065
143	J004125.19+411214.4	…	15.723	14.84	14.291	13.512	10	10	15.615	10	11.325	17.708	10	16.619	17.708	0.052	U	0.0359
144	J004125.23+411208.9	…	14.225	13.38	12.926	47.517	23.87	48	78.652	47.517	11.167	10.772	80.5	179.487	11.167	0.118	U	0.0483
145	J004125.72+411212.7	…	14.662	13.723	13.357	24.134	22.343	22	24.236	24.236	10.659	10.979	10.5	12.034	10.979	0.28	U	0.0846
146	J004125.81+412041.2	…	16.583	16.098	15.964	2392.447	1741.857	964	1745	2392.447	54.658	27.834	665	581.667	581.667	0.022	N	0.0295
147	J004126.81+411232.3	…	15.86	15.212	14.807	–	–	–	–	–	–	–	–	–	–	–	–	–
148	J004130.08+410823.1	…	16.607	15.683	15.266	129.457	212.813	1856.5	232.667	212.813	12.982	83.157	960	218.125	83.157	0.058	N	0.0732
149	J004133.42+403721.1	…	15.627	14.839	14.458	19.046	1726.698	1983	3490	3490	315.195	292.876	599	290.833	292.876	0.309	L	0.0825
150	J004133.52+404131.9	…	16.083	15.295	14.947	17.036	1627.631	474.5	1745	474.5	21.831	113.598	454.5	205.294	113.598	0.091	N	0.0354
151	J004136.39+411424.9	…	–	–	–	315.195	1654.752	1441	1745	1654.752	775.676	187.862	763.5	205.294	187.862	0.062	N	0.0285
152	J004138.35+412320.7	…	14.494	13.696	13.328	769.663	803.93	1414.5	698	769.663	1757.284	282.461	1583	1745	1757.284	0.299	S	0.0779
153	J004143.10+405432.0A	…	15.697	15.227	15.308	172.973	207.709	612	1163.333	207.709	211.924	123.03	1156	1163.333	123.03	0.058	N	0.0334
154	J004143.80+412134.8	…	16.235	15.327	15.227	31.032	1614.387	1548.5	1163.333	1163.333	3483.739	118.196	240	387.778	387.778	0.052	N	0.0381
155	J004144.65+405446.8	…	15.447	14.552	14.24	86.903	1697.188	1933	1745	1933	186.804	166.167	690.5	193.889	166.167	0.265	I	0.063
156	J004147.27+411537.8	…	15.166	14.351	13.988	19.352	1769.254	1572	3490	3490	12.691	371.751	1048	698	698	0.493	N	0.1523
157	J004148.74+410843.0	…	14.557	13.787	13.441	3480.158	780.945	676	872.5	780.945	2449	251.088	335	349	349	0.263	S	0.09
158	J004149.19+411024.8	…	15.194	14.539	14.074	243.545	568.987	1138.5	583.333	568.987	505.775	365.545	808	388.889	388.889	0.236	I	0.0899
159	J004149.33+412718.9	…	16.165	15.226	14.881	10.375	1539.314	543	1163.333	1163.333	954.679	178.25	524.5	174.5	178.25	0.1	N	0.0694
160	J004150.87+404235.1	…	16.408	15.761	15.686	127.127	126.478	342	174.5	127.127	684.735	614.768	659.5	349	684.735	0.04	N	0.0342
161	J004155.44+405716.7	…	16.312	15.406	15.162	388.597	189.295	1111.5	1163.333	189.295	396.354	890.448	1113	872.5	890.448	0.041	N	0.0431
162	J004156.28+404118.0	…	–	–	–	12.018	64.753	79.5	76.087	64.753	25.115	25.173	79.5	59.322	25.173	0.077	U	0.0787
163	J004158.68+410833.7	…	15.736	14.921	14.669	328.758	1641.066	1801.5	1750	1801.5	140.134	303.161	578	318.182	303.161	0.172	I	0.1043
164	J004158.78+413057.0	…	15.552	14.725	14.386	1126.297	2177.463	2002	1163.333	1126.297	552.044	556.734	530	498.571	552.044	0.038	N	0.0284
165	J004200.90+413114.0	…	16.167	15.537	15.197	10	329.85	317	349	10	117.221	117.289	1435	436.25	117.221	0.023	N	0.0355
166	J004207.53+413528.3	…	16.25	15.493	14.956	109.377	109.188	321	1163.333	109.188	17.241	166.765	1180.5	249.286	166.765	0.064	N	0.041
167	J004208.18+412850.4	…	16.563	15.755	15.451	–	–	–	–	–	–	–	–	–	–	–	–	–
168	J004209.38+413516.1	…	16.437	15.714	15.445	210.353	265.468	272.5	249.286	272.5	178.734	213.058	424	205.294	213.058	0.16	S	0.0642
169	J004211.63+405017.9	…	15.547	14.791	14.416	886.487	183.183	186	183.684	183.684	834.341	116.463	1755	3490	3490	0.083	N	0.0411
170	J004213.68+413401.4	…	16.793	15.856	15.49	144.838	99.784	593	698	698	10.692	88.529	127	349	88.529	0.033	N	0.0282
171	J004213.75+412524.7	…	15.657	14.786	14.466	95.79	1821.759	1022.5	3490	1821.759	69.286	118.056	498.5	166.19	118.056	0.048	N	0.0342
172	J004215.16+413519.6	…	16.488	15.642	15.301	23.397	26.753	94	1745	23.397	15.853	208.1	98	1163.333	15.853	0.333	U	0.0908
173	J004216.08+411553.3	…	15.656	15.213	15.068	266.184	264.056	487	268.462	264.056	453.363	458.591	885.5	436.25	458.591	0.167	S	0.1178
174	J004216.57+413529.5	…	16.46	15.59	15.241	626.414	614.768	1186.5	698	626.414	48.232	148.63	1166.5	1163.333	1166.5	0.041	N	0.0227
175	J004217.56+413504.1	…	15.432	14.832	14.31	282.465	2005.777	2139.5	3490	3490	276.564	270.531	489	436.25	436.25	0.291	N	0.0706
176	J004217.99+410912.7	…	–	–	–	105.065	103.314	184.5	205.294	103.314	46.019	109.889	1567	872.5	46.019	0.044	N	0.0664
177	J004218.89+404754.6	…	15.347	14.731	14.376	2026.256	194.868	393.5	268.462	194.868	475.055	222.114	1475	193.889	222.114	0.092	S	0.0611
178	J004219.25+405116.4	…	14.803	13.895	13.655	704.16	341.773	1401	698	698	194.871	1741.857	1401	1745	1741.857	0.407	S	0.1025
179	J004220.33+404752.0	…	15.972	15.112	14.871	295.057	275.409	596	290.833	275.409	231.168	151.234	327	290.833	327	0.089	S	0.0557
180	J004221.33+404735.0	…	15.791	15.119	14.551	387.838	800.685	1539	317.273	800.685	859.624	342.363	1539	317.273	342.363	0.115	I	0.0736
181	J004221.99+413457.8	…	–	–	–	33.475	102.779	282	387.778	102.779	97.388	96.3	1396.5	249.286	96.3	0.021	N	0.0393
182	J004226.75+413747.2	…	16.026	15.309	14.907	113.083	575.566	569	581.667	581.667	115.517	115.919	115	124.643	115	0.046	N	0.0336
183	J004228.99+412029.7	…	16.102	15.686	15.062	109.711	109.707	198	218.75	109.707	193.816	188.292	384	388.889	388.889	0.035	N	0.0509
184	J004230.32+405624.1	…	15.497	14.709	14.199	557.612	1817.323	2157	3500	3500	341.356	91.887	392.5	184.211	392.5	0.217	N	0.0425
185	J004233.62+405405.1	…	15.946	15.153	14.722	648.922	1788.909	2009.5	3500	3500	147.198	424.295	584.5	437.5	424.295	0.172	N	0.0718
186	J004234.28+410153.4	…	16.511	16.104	16.957	276.18	902.592	2569.5	872.5	902.592	205.562	1601.384	489.5	3490	3490	0.026	N	0.0276
187	J004235.88+405442.2	…	15.192	14.401	13.989	3483.739	1654.752	1811	1745	1811	1289.436	248.523	927.5	698	248.523	0.126	I	0.0461
188	J004240.58+413603.5	…	17.01	15.638	16.079	691.892	50.245	662.5	581.667	581.667	108.807	145.793	291.5	387.778	145.793	0.016	N	0.0283
189	J004242.26+414408.7	…	16.45	15.61	15.313	13.086	614.768	1907	698	698	210.13	209.462	1940	232.667	209.462	0.047	N	0.0372
190	J004243.02+410145.0	…	16.116	15.174	14.945	93.977	1641.066	1945.5	3490	3490	96.535	52.159	1198.5	1163.333	1163.333	0.092	N	0.0335
191	J004244.52+410345.1	…	15.263	14.561	14.096	404.426	565.726	563.5	581.667	565.726	439.321	435.46	2381	218.125	435.46	0.382	S	0.105
192	J004248.40+413320.9	…	15.936	15.117	14.725	52.742	1515.795	980	1163.333	1163.333	10.538	127.044	648.5	145.417	127.044	0.045	N	0.0342
193	J004249.19+415244.3	…	16.351	15.564	15.651	29.843	1369.45	1188.5	1163.333	1163.333	62.405	612.869	597	581.667	597	0.051	N	0.0271
194	J004249.83+412514.4	…	–	–	–	1962.794	1663.312	1940	1750	1940	102.549	81.541	412.5	166.667	81.541	0.184	N	0.083
195	J004250.68+412329.2	…	16.481	16.643	16.119	260.941	59.307	161.5	1163.333	59.307	261.296	1426.452	815	1163.333	1163.333	0.055	N	0.0629
196	J004251.49+411541.2	…	15.036	13.717	14.156	–	–	–	–	–	–	–	–	–	–	–	–	–
197	J004252.10+414516.4	…	16.747	15.855	15.601	265.118	347.758	365	3490	365	109.166	84.247	250.5	87.25	84.247	0.05	N	0.0356
198	J004252.37+412727.7	…	16.081	15.181	14.998	185.582	1966.027	2145.5	3490	2145.5	778.718	100.746	599.5	183.684	100.746	0.093	N	0.0592
199	J004252.50+414215.4	…	16.242	15.442	14.672	157.848	978.177	971.5	1163.333	978.177	670.855	104.456	326.5	193.889	104.456	0.042	N	0.031
200	J004252.78+405627.5	…	14.922	14.011	13.781	263.011	269.43	1305.5	872.5	263.011	1741.87	1378.949	1931	1745	1741.87	0.137	S	0.0528
201	J004252.98+413824.9	…	16.335	15.21	15.021	36.269	592.747	1249.5	698	698	15.978	64.45	192	183.684	64.45	0.051	N	0.0364
202	J004253.25+411613.9	…	15.144	13.136	12.847	–	–	–	–	–	–	–	–	–	–	–	–	–
203	J004253.39+410040.8	…	16.258	15.941	15.481	186.454	187.862	760	3490	186.454	107.628	121.45	1873.5	387.778	107.628	0.019	N	0.0211
204	J004255.75+412300.3	…	15.75	14.632	14.48	14.309	1748.833	320.5	1745	320.5	11.691	70.439	320.5	151.739	70.439	0.228	N	0.1048
205	J004255.95+404857.5	…	15.12	14.142	13.995	290.737	638.488	617	581.667	617	285.717	438.345	418.5	290.833	438.345	0.417	S	0.0773
206	J004258.62+414446.0	…	–	–	–	19.426	254.577	2200	698	254.577	16.245	51.125	2200	205.294	51.125	0.026	N	0.0286
207	J004300.43+414710.1	…	16.278	15.717	15.495	1805.21	1563.551	2140.5	3490	2140.5	110.811	113.339	506.5	290.833	110.811	0.118	N	0.0526
208	J004302.69+414303.8	…	15.682	14.568	14.427	186.104	1757.253	594.5	3490	186.104	297.265	320.275	1414.5	349	297.265	0.109	N	0.0461
209	J004304.62+410348.4	…	14.73	13.907	13.591	155.866	29.022	614.5	166.19	29.022	89.852	41.594	618.5	151.739	41.594	0.029	N	0.0735
210	J004305.18+413527.5	…	16.773	15.883	15.699	978.193	927.893	2073	872.5	978.193	86.374	78.239	157.5	158.636	78.239	0.065	N	0.0475
211	J004305.77+410742.5	…	14.743	13.946	13.658	3008.684	424.295	2014	3490	3490	426.123	427.033	1343	436.25	426.123	0.254	L	0.0574
212	J004306.32+410255.0	…	16.262	15.718	15.556	390.892	342.953	1040	3490	342.953	329.309	253.278	977	268.462	253.278	0.107	N	0.0469
213	J004306.62+413806.2	…	14.754	13.817	13.426	25.655	808.292	1623.5	872.5	872.5	15.048	557.78	2135	1745	1745	0.339	S	0.0695
214	J004307.51+414548.7	…	16.284	15.702	15.456	1575.977	61.098	2363.5	698	698	1772.974	61.155	200	105.758	61.155	0.032	N	0.0289
215	J004310.53+410251.1	…	15.816	15.033	14.61	3483.739	577.237	1826.5	3490	3483.739	167.714	172.22	331	249.286	167.714	0.14	N	0.0492
216	J004310.73+414147.7	…	15.915	14.988	14.697	161.968	1697.188	1519.5	1745	1745	3483.739	236.393	242.5	232.667	242.5	0.065	N	0.0322
217	J004312.43+413747.1	…	14.314	13.483	12.965	727.374	1697.188	1809	1163.333	1163.333	807.208	345.34	1682	872.5	807.208	0.27	L	0.075
218	J004313.45+415044.7	…	15.811	15.042	14.806	213.29	210.35	972	218.125	210.35	863.361	253.602	1176	268.462	268.462	0.025	N	0.0286
219	J004318.54+405412.2	…	16.355	15.83	15.68	108.569	109.586	219	193.889	108.569	221.622	227.718	219.5	139.6	219.5	0.051	N	0.0336
220	J004319.91+411759.8	…	16.613	15.594	15.419	1092.649	292.928	994	437.5	292.928	29.973	74.363	471.5	83.333	74.363	0.133	U	0.1159
221	J004322.37+411028.5	…	16.365	15.535	15.473	195.484	1677.008	534	318.182	318.182	78.482	117.867	538.5	205.882	117.867	0.078	N	0.043
222	J004323.39+411751.6	…	15.838	15.206	14.902	198.736	1799.726	1017.5	3490	3490	22.089	244.688	465.5	698	244.688	0.169	N	0.0808
223	J004325.16+410606.0	…	15.281	14.277	13.825	62.879	1741.857	1490.5	872.5	872.5	16.333	172.97	1932	249.286	172.97	0.077	N	0.0584
224	J004325.42+415043.1	…	–	–	–	21.279	1927.859	1396.5	698	698	30.858	1772.955	1767.5	3490	3490	0.023	N	0.0303
225	J004326.44+413816.9	…	15.824	15.136	14.665	359.083	192.041	365	387.778	365	1264.797	1289.408	1181.5	1745	1289.408	0.185	S	0.0483
226	J004328.00+414425.7	…	–	–	–	21.949	13.317	569	1163.333	13.317	21.986	36.684	111	109.063	111	0.013	N	0.0277
227	J004328.69+410816.4	…	16.283	15.569	15.535	74.68	74.678	1856	3490	3490	137.516	116.943	413.5	387.778	387.778	0.162	N	0.0433
228	J004329.01+414216.3	…	14.529	14.748	14.444	–	–	–	–	–	–	–	–	–	–	–	–	–
229	J004329.38+413916.9	…	16.758	16.073	15.397	11.068	1855.391	2138	3500	3500	58.362	59.274	84	166.667	59.274	0.048	N	0.0333
230	J004329.85+415203.0	…	15.991	15.117	14.766	145.156	1449.422	1544.5	1163.333	1163.333	229.035	230.895	458	218.125	230.895	0.086	N	0.0412
231	J004330.06+405258.4	…	15.601	14.877	14.525	267.619	1641.066	1938	1745	1745	272.765	118.478	1940	124.643	118.478	0.108	N	0.035
232	J004330.37+412813.9	…	16.297	15.781	15.215	1128.34	137.378	1134	387.778	137.378	1254.536	147.585	1169	317.273	317.273	0.061	N	0.0647
233	J004331.04+411815.9	…	13.75	13.128	12.985	86.487	50.195	214	249.286	86.487	37.027	50.233	156	71.224	50.233	0.035	N	0.0561
234	J004331.70+411214.5	…	15.77	14.644	14.509	25.839	232.539	215.5	583.333	583.333	24.593	11.92	54.5	65.421	54.5	0.179	N	0.0464
235	J004334.35+413715.2	…	16.567	15.721	15.095	140.235	104.236	1435.5	581.667	581.667	45.305	104.401	1435.5	349	349	0.021	N	0.0241
236	J004337.08+415322.2	…	16.156	15.49	15.427	856.17	1765.817	1932	3500	3500	16.663	96.238	332.5	134.615	96.238	0.035	N	0.028
237	J004337.97+414540.5	…	15.391	14.595	13.947	749.333	797.467	2216.5	698	749.333	109.106	110.011	441	158.636	109.106	0.017	N	0.0186
238	J004338.12+415351.5	…	16.182	15.588	15.295	40.762	178.816	1738	269.231	178.816	40.528	271.662	2106	3500	3500	0.031	N	0.0274
239	J004340.97+414949.4	…	16.336	15.373	14.943	941.105	134.898	574.5	698	134.898	817.173	605.397	1407.5	698	605.397	0.07	N	0.0503
240	J004341.77+412550.1	…	16.197	15.359	14.707	20.273	1654.752	1553	1166.667	1166.667	3483.735	119.047	719	350	350	0.061	N	0.053
241	J004342.40+415658.1	…	15.786	15.03	14.561	252.317	342.953	1401	349	342.953	53.596	1079.179	1411.5	1163.333	1163.333	0.186	S	0.0859
242	J004342.75+411442.8	…	15.32	14.424	14.123	19.285	449.252	1169	436.25	436.25	65.949	234.163	1938	218.125	234.163	0.123	N	0.056
243	J004342.98+412850.0	…	15.975	15.176	14.706	716.552	757.702	616	700	700	29.584	50.218	201.5	140	29.584	0.028	N	0.0329
244	J004343.04+415705.4	…	16.415	15.558	15.276	26.228	97.625	1041.5	1163.333	1041.5	12.06	97.721	326	290.833	97.721	0.036	N	0.0316
245	J004344.78+415727.8	…	16.162	15.361	15.335	82.157	462.867	1733	436.25	462.867	163.569	75.906	394	3490	3490	0.038	N	0.0314
246	J004346.10+411138.8	…	14.744	13.835	13.472	596.02	275.659	592	290.833	290.833	185.222	952.499	764.5	698	698	0.302	N	0.0832
247	J004346.18+411515.0	…	14.756	13.982	13.645	252.317	1575.945	1018	1163.333	252.317	927.912	1281.099	948.5	872.5	927.912	0.099	N	0.0404
248	J004347.08+411510.2	…	16.141	15.404	15.139	761.805	27.57	320.5	291.667	761.805	76.504	27.581	408	205.882	76.504	0.067	N	0.0413
249	J004347.31+411203.6	…	14.838	13.989	13.615	1282.464	252.135	483.5	3500	3500	90.133	63.66	133.5	125	133.5	2.899	N	0.0161
250	J004347.54+411028.5	…	15.588	14.654	14.452	302.027	217.993	2095	218.75	218.75	217.254	254.228	2113	875	875	0.186	I	0.0925
251	J004350.63+411456.6	…	16.314	15.433	15.083	168.568	97.386	498.5	174.5	97.386	25.762	1350.822	1409	436.25	436.25	0.024	N	0.0312
252	J004352.34+411016.6	…	16.211	15.238	14.974	219.885	98.709	228.5	125	219.885	14.682	24.376	230.5	61.404	24.376	0.066	U	0.0595
253	J004353.96+415202.0	…	15.956	15.158	14.936	–	–	–	–	–	–	–	–	–	–	–	–	–
254	J004353.97+411255.6	…	15.272	14.517	14.1	–	–	–	–	–	–	–	–	–	–	–	–	–
255	J004354.03+411742.0	…	16.385	15.505	15.21	–	–	–	–	–	–	–	–	–	–	–	–	–
256	J004354.50+411108.3	…	15.675	14.715	14.435	734.873	343.562	478	387.778	387.778	252.989	488.601	503.5	436.25	503.5	0.198	I	0.1104
257	J004356.02+413237.2	…	15.09	14.417	14.317	39.567	107.262	253.5	268.462	253.5	28.364	28.176	166	53.692	28.176	0.093	U	0.0376
258	J004356.22+413717.6	…	15.522	14.694	14.427	801.944	152.982	231	875	801.944	348.845	92.52	122.5	125	125	0.408	N	0.0226
259	J004358.00+412114.1	…	15.209	14.431	14.121	268.927	149.187	241.5	875	268.927	17.723	45.593	45.5	152.174	45.593	0.077	N	0.0207
260	J004359.67+412619.2	…	15.79	14.889	14.542	650.216	242.31	697	698	697	3483.299	91.75	1008.5	317.273	91.75	0.043	N	0.026
261	J004359.94+411330.9	…	16.148	15.287	15.083	15.455	577.791	539	3500	577.791	10.708	74.762	224.5	134.615	74.762	0.092	N	0.0426
262	J004400.77+414551.2	…	16.585	16.076	15.458	373.688	102.447	1111.5	349	373.688	153.474	95.337	1116.5	581.667	581.667	0.051	N	0.0327
263	J004401.76+415642.1	…	16.393	15.382	15.094	18.266	1614.387	2251	1745	2251	10.429	47.245	2248	436.25	436.25	0.046	N	0.0226
264	J004402.86+414921.9	…	16.803	15.565	15.808	155.988	157.47	309	1745	155.988	45.357	45.305	170	387.778	45.357	0.029	N	0.0315
265	J004403.42+411623.5	…	16.089	15.157	14.861	21.552	1748.741	1813	1750	1813	11.73	86.817	491.5	194.444	86.817	0.052	N	0.0333
266	J004405.72+411551.7	…	15.625	14.805	14.409	242.754	1726.698	1268	1745	242.754	1073.368	1481.877	963.5	1163.333	1073.368	0.08	N	0.0343
267	J004406.60+411536.6	…	15.122	14.093	13.773	17.482	580.616	594	581.667	594	10.09	421.592	1815	436.25	421.592	0.328	S	0.0647
268	J004406.60+413944.8	…	16.5	15.684	15.322	1103.184	1018.309	1031	1163.333	1103.184	766.692	341.185	489	698	766.692	0.115	N	0.0557
269	J004408.38+420143.0	…	16.214	15.885	15.33	202.639	207.96	1017.5	875	207.96	57.343	1092.657	573	875	1092.657	0.03	N	0.0255
270	J004410.06+411803.4	…	–	–	–	28.424	355.223	731	387.778	387.778	28.457	43.556	183.5	698	28.457	0.026	N	0.0243
271	J004411.81+411822.7	…	16.153	15.197	15.169	25.619	344.74	253	349	253	12.714	127.288	147.5	218.125	147.5	0.083	N	0.0438
272	J004412.67+413947.8	…	15.907	15.048	14.777	1341.71	1297.842	1349.5	1163.333	1297.842	100.543	125.281	467.5	218.125	100.543	0.137	N	0.0444
273	J004414.54+415445.7	…	16.195	15.211	14.791	291.59	1614.387	1424	1745	1614.387	274.652	247.903	720.5	249.286	247.903	0.066	I	0.0488
274	J004414.60+414816.8	…	16.735	15.95	15.526	1575.977	1470.891	1452.5	1163.333	1452.5	96.676	96.628	558	158.636	96.628	0.073	N	0.0362
275	J004415.17+415640.6	…	14.862	14.058	13.691	598.112	568.967	1696	698	598.112	470.552	212.602	1775.5	268.462	470.552	0.229	S	0.1015
276	J004415.42+413409.5	…	16.525	15.818	15.574	39.02	76.935	76.5	77.556	76.5	24.834	38.312	76.5	41.548	38.312	0.24	S	0.0387
277	J004415.76+411750.7	…	14.754	13.917	13.587	295.057	1711.801	1369.5	1745	1745	1741.87	740.933	1365	698	698	0.212	N	0.0862
278	J004417.75+420039.1	…	15.175	14.277	13.965	308.285	1438.911	661	232.667	232.667	208.366	208.801	634.5	205.294	208.366	0.144	S	0.0653
279	J004418.96+414934.1	…	16.231	15.255	15.252	25.151	331.873	2018.5	3500	2018.5	45.219	175.628	677.5	175	175	0.079	N	0.0454
280	J004420.43+420732.1	…	16.468	15.951	15.379	2135.195	1668.669	2208.5	1745	1745	251.041	158.097	248	166.19	158.097	0.032	N	0.0229
281	J004420.52+414650.5	…	16.344	15.619	15.1	14.369	1788.909	1911.5	3490	3490	16.131	219.414	449	232.667	219.414	0.152	N	0.0342
282	J004422.13+415406.0	…	–	–	–	–	–	–	–	–	–	–	–	–	–	–	–	–
283	J004423.17+412107.9	…	16.144	15.656	15.595	266.541	276.175	554	1163.333	276.175	46.69	148.519	308	1163.333	148.519	0.057	N	0.0335
284	J004423.64+412217.0	…	15.804	14.742	14.45	214.21	1601.384	2194.5	3490	2194.5	121.749	1023.552	2177.5	698	1023.552	0.084	N	0.0346
285	J004423.83+413749.8	…	16.398	15.595	15.213	116.057	360.381	361.5	317.273	361.5	28.531	26.561	106	193.889	28.531	0.027	N	0.0279
286	J004424.81+412328.0	…	15.672	14.802	14.398	1943.858	336.621	329.5	1745	329.5	2087.09	29.509	192	183.684	192	0.104	N	0.0558
287	J004424.94+412322.3	…	15.038	14.155	13.772	10.61	567.273	1556	581.667	567.273	626.117	1586.445	1805.5	3490	3490	0.232	N	0.071
288	J004425.23+413211.1	…	15.767	14.891	14.876	22.212	577.237	1865	3490	1865	1927.894	192.041	1246	205.294	192.041	0.211	I	0.086
289	J004425.29+415516.4	…	15.902	15.079	15.059	24.311	148.076	297	151.739	148.076	146.01	333.732	657	317.273	317.273	0.069	N	0.0608
290	J004425.77+413659.6	…	16.007	15.186	15.059	32.719	233.006	470	232.667	232.667	132.151	448.936	1726	436.25	436.25	0.078	N	0.0466
291	J004426.77+412031.3	…	15.451	14.764	14.376	1233.373	147.636	1184	1163.333	1233.373	594.53	146.654	598	581.667	594.53	0.099	N	0.0284
292	J004428.12+415502.9	…	13.709	13.174	12.971	495.195	483.138	1017.5	498.571	495.195	882.547	874.761	1864	872.5	882.547	0.113	N	0.0275
293	J004428.48+415130.9	…	14.223	13.354	13.061	1527.486	1614.387	1401	1745	1527.486	254.255	258.218	2183	436.25	254.255	0.372	L	0.0633
294	J004428.71+420601.6	…	15.089	14.356	14.086	473.922	1772.955	1774.5	498.571	473.922	163.3	348.98	2134	290.833	163.3	0.302	S	0.0918
295	J004428.81+415509.3	…	16.675	16.644	15.616	110.257	176.979	536.5	174.5	174.5	198.177	1360.063	1412.5	498.571	498.571	0.015	N	0.0216
296	J004429.28+420550.2	…	15.959	15.029	14.809	1203.474	1575.945	1011.5	1745	1575.945	238.957	101.415	201.5	145.417	101.415	0.066	N	0.0341
297	J004429.87+415616.9	…	16.705	15.6	15.825	1398.402	1174.964	1530.5	1163.333	1398.402	80.852	96.02	489	183.684	96.02	0.063	N	0.0307
298	J004430.47+412435.8	…	15.098	14.273	13.863	11.648	898.505	1341	872.5	872.5	890.462	126.478	634	290.833	126.478	0.258	N	0.1132
299	J004431.71+415629.1	…	13.84	13.211	12.965	239.823	335.422	691	698	239.823	1741.87	58.523	1756.5	1745	1741.87	0.013	N	0.0106
300	J004432.08+415637.4	…	16.383	15.183	15.041	230.096	1588.562	473	498.571	473	191.119	186.977	569	268.462	186.977	0.043	N	0.0236
301	J004432.27+415158.4	…	15.508	14.601	14.274	361.717	362.404	1110.5	387.778	362.404	514.637	523.141	1068.5	498.571	523.141	0.077	U	0.0539
302	J004432.48+415033.8	…	16.304	15.673	15.39	161.705	1757.253	522.5	249.286	161.705	138.475	140.83	424	145.417	140.83	0.019	N	0.0186
303	J004432.68+412441.7	…	15.726	14.903	14.586	1460.097	1575.945	2186.5	1745	2186.5	177.139	145.048	534	387.778	145.048	0.117	N	0.0416
304	J004438.65+412934.1	…	13.895	13.274	12.943	2545.809	559.353	1951.5	3490	559.353	3483.739	2112.468	2097.5	3490	3490	0.122	N	0.0534
305	J004442.26+415122.9	…	16.048	15.346	15.019	213.749	213.058	430.5	205.294	213.058	874.771	191.3	587.5	183.684	191.3	0.072	S	0.0395
306	J004442.54+412628.5	…	16.337	15.181	15.244	93.883	66.091	323	75.87	93.883	22.673	1649.158	351	57.213	351	0.028	U	0.0423
307	J004444.66+420847.9	…	15.774	14.806	14.75	77.326	339.436	365	3490	77.326	3483.739	344.142	182	3490	3490	0.022	N	0.0236
308	J004444.91+412530.3	…	16.264	15.462	15.198	166.17	83.749	670.5	249.286	166.17	204.504	203.453	984	387.778	204.504	0.05	N	0.0409
309	J004447.08+412801.7	…	15.653	14.675	14.264	21.79	554.665	540.5	498.571	540.5	54.063	271.27	1941	268.462	271.27	0.158	N	0.0467
310	J004447.74+413050.0	…	15.073	14.111	13.759	760.817	630.382	1762	698	698	923.596	287.782	2119	436.25	287.782	0.175	S	0.0598
311	J004449.34+420007.0	…	16.777	15.47	15.045	–	–	–	–	–	–	–	–	–	–	–	–	–
312	J004449.89+415855.8	…	15.302	14.606	14.209	246.369	388.575	1768	387.778	387.778	923.596	147.636	2092	498.571	923.596	0.216	S	0.0759
313	J004450.76+420209.1	…	15.586	14.749	14.397	3483.739	1985.703	1530.5	3490	3490	141.838	143.579	506.5	581.667	141.838	0.1	N	0.0332
314	J004451.13+415808.4	…	16.011	15.091	14.71	75.82	1682.793	1530.5	1745	1745	36.137	91.591	163	174.5	163	0.098	N	0.0384
315	J004451.76+420006.0	…	14.663	13.875	13.511	568.977	564.121	604	581.667	564.121	301.325	147.856	660.5	317.273	301.325	0.205	S	0.0777
316	J004453.00+415407.9	…	16.106	15.04	14.73	515.774	545.521	599.5	498.571	515.774	2112.48	267.614	608	205.294	267.614	0.057	N	0.0333
317	J004454.38+412441.6	…	16.094	15.201	14.91	730.048	1741.857	1699	1163.333	1741.857	807.208	834.328	741	872.5	807.208	0.069	N	0.0408
318	J004454.50+413007.8	…	15.243	14.256	13.994	257.887	345.34	258.5	268.462	257.887	357.789	346.545	709	387.778	357.789	0.074	N	0.0238
319	J004456.92+415150.5	…	16.499	15.839	15.673	14.909	345.941	574	698	574	11.618	117.567	402.5	349	402.5	0.033	N	0.0248
320	J004457.32+415144.9	…	15.86	15.094	14.731	556.227	565.726	1564	698	698	215.606	95.604	1011.5	436.25	215.606	0.051	N	0.0211
321	J004457.74+413012.6	…	15.718	14.869	14.548	1203.474	1264.782	1196	1163.333	1203.474	181.511	149.977	296.5	166.19	149.977	0.09	N	0.0257
322	J004457.90+415404.7	…	15.718	14.896	14.489	153.029	1467.933	1788.5	1163.333	1467.933	60.864	208.381	1788.5	205.294	208.381	0.165	N	0.0905
323	J004458.06+413054.1	…	15.536	14.623	14.364	331.729	555.657	487	498.571	498.571	136.433	247.036	2100	232.667	247.036	0.197	I	0.1012
324	J004501.30+413922.5	…	14.831	13.967	13.59	121.749	573.901	2058.5	700	573.901	30.531	732.73	2221	388.889	732.73	0.142	N	0.0985
325	J004502.52+412926.7	…	15.306	14.716	14.419	3483.739	1838.607	1381	3490	3490	358.435	344.74	1578.5	349	358.435	0.146	N	0.0268
326	J004502.62+414408.3	…	15.599	14.722	14.482	360.387	1641.066	1988	3490	3490	116.67	820.54	777.5	872.5	872.5	0.177	N	0.0394
327	J004503.35+413026.3	…	14.522	13.661	13.402	841.412	418.043	829	872.5	841.412	397.146	408.58	801	387.778	397.146	0.189	S	0.0458
328	J004504.31+412234.8	…	16.581	15.725	15.15	33.362	50.437	1492.5	1745	1745	20.234	50.475	698.5	139.6	139.6	0.015	N	0.017
329	J004506.85+413408.2	…	14.408	13.911	13.628	1056.24	1281.099	1864	1163.333	1056.24	298.606	301.778	1811.5	436.25	298.606	0.059	N	0.0272
330	J004507.87+413109.0	…	15.474	14.64	14.213	22.77	1668.669	1917	1745	1745	112.188	128.858	386.5	139.6	128.858	0.166	N	0.0708
331	J004507.90+413427.4	…	15.923	14.85	14.633	74.849	337.131	321	1745	337.131	50.916	102.514	1811	3490	3490	0.096	N	0.0393
332	J004509.73+415950.1	…	15.582	14.79	14.318	14.469	346.626	352	349	352	178.625	143.57	284.5	158.636	143.57	0.096	S	0.0307
333	J004509.75+414651.3	…	15.745	14.997	14.726	13.507	133.179	1358.5	1745	1745	25.165	98.595	403	120.345	98.595	0.034	N	0.0303
334	J004509.88+413843.9	…	15.341	14.479	14.244	406.08	392.431	813.5	436.25	406.08	992.866	894.462	887.5	872.5	887.5	0.1	S	0.0378
335	J004511.91+415433.9	…	16.644	15.568	15.761	62.519	1294.817	1050	1166.667	1050	15.267	72.561	543	125	72.561	0.083	N	0.0709
336	J004512.51+415827.9	…	16.478	15.689	15.601	217.257	213.977	2148.5	249.286	213.977	22.202	342.953	2148.5	3490	3490	0.046	N	0.0342
337	J004512.79+413600.0	…	15.753	15.112	14.809	48.057	265.113	260	317.273	260	45.649	382.601	1046.5	1163.333	382.601	0.081	S	0.0302
338	J004514.68+415210.7	…	16.241	15.166	14.775	1838.64	1697.188	1907	1745	1745	106.246	137.8	686	698	698	0.171	N	0.0714
339	J004514.91+413735.0	…	14.231	13.298	12.89	1128.256	1241.064	1023	1163.333	1128.256	253.93	332.613	2009	349	332.613	0.282	S	0.0573
340	J004514.95+414625.6	…	16.021	15.395	15.017	95.836	1527.464	478	498.571	478	130.041	133.09	302.5	145.417	133.09	0.083	N	0.0537
341	J004517.25+413948.2	…	15.16	14.253	14.064	2482.164	1668.669	1959	3490	3490	384.832	399.537	1171.5	387.778	387.778	0.288	L	0.0461
342	J004520.67+414717.3	…	13.623	12.793	12.106	2612.804	1726.698	2182	3490	2612.804	863.361	973.378	1811	872.5	872.5	0.218	L	0.0304
343	J004521.74+414256.0	…	15.887	15.008	14.612	13.68	1726.698	1438	1745	1745	240.695	102.198	482.5	232.667	240.695	0.09	I	0.0513
344	J004522.47+414512.8	…	15.316	14.487	14.194	321.316	1788.909	2126	3490	2126	1306.402	355.86	1149.5	387.778	387.778	0.214	L	0.0582
345	J004524.97+420727.2	…	14.532	13.591	13.094	899.881	450.956	469.5	875	899.881	206.223	1850.173	599.5	700	1850.173	0.632	L	0.0601
346	J004525.28+415833.3	…	15.888	15.125	14.676	1575.977	1772.955	1642	1745	1642	43.423	143.268	553	268.462	143.268	0.14	N	0.0399
347	J004525.76+420842.9	…	–	–	–	1946.795	1588.562	1777.5	1745	1946.795	92.835	92.79	186	218.125	92.835	0.044	N	0.0322
348	J004526.24+420047.5	…	15.282	14.335	14.046	95.422	1772.955	1863.5	581.667	581.667	184.034	2256.47	1941	218.125	2256.47	0.067	N	0.0374
349	J004531.13+414825.7	…	14.499	13.487	13.143	62.171	893.005	1298.5	872.5	872.5	902.605	1946.775	1938	498.571	1946.775	0.203	S	0.0836
350	J004531.31+415918.3	…	15.625	14.829	14.541	297.711	312.709	1274	290.833	297.711	3483.739	100.848	1322.5	698	698	0.039	N	0.0258
351	J004531.41+413400.6	…	16.304	15.315	15.025	1281.117	1772.955	2119	3490	2119	1007.985	95.604	605.5	145.417	95.604	0.092	N	0.0473
352	J004531.58+413800.3	…	15.436	14.669	14.389	136.009	498.92	938.5	437.5	437.5	446.231	240.983	665.5	350	665.5	0.256	S	0.0795
353	J004532.63+415108.1	…	16.39	15.401	14.992	15.103	1378.949	1005	1163.333	1005	66.324	34.892	266	174.5	66.324	0.035	N	0.0296
354	J004539.99+415404.1	…	12.711	12.156	11.931	1873.331	294.177	1856.5	1745	1856.5	240.695	236.957	776.5	232.667	240.695	0.014	N	0.008
355	J004540.98+421101.9	…	16.265	15.147	14.868	25.219	298.602	2152	1163.333	1163.333	174.493	125.439	326	129.259	125.439	0.044	N	0.0327
356	J004542.18+415347.7	…	15.541	15.072	14.665	2282.45	1711.801	1346.5	1745	2282.45	874.771	148.076	678	581.667	874.771	0.168	N	0.0735
357	J004545.92+415128.5	…	16.309	15.762	15.491	32.887	1563.551	1517.5	1745	1745	288.624	206.414	1013.5	218.125	206.414	0.03	N	0.0238
358	J004547.16+422044.0	…	16.625	15.903	15.531	113.892	114.027	227	349	349	74.703	36.561	151	102.647	74.703	0.03	N	0.0237
359	J004550.13+414217.5	…	16.421	15.295	15.199	396.354	193.727	378	349	378	10.292	49.992	68	99.714	49.992	0.024	N	0.027
360	J004551.95+414347.7	…	15.389	14.656	14.449	431.681	1985.703	2227	3490	3490	402.785	369.776	792.5	387.778	402.785	0.112	N	0.0433
361	J004552.56+414913.4	…	15.127	14.314	13.922	2920.193	1408.292	478	498.571	498.571	3483.739	155.254	2230	3490	2230	0.151	S	0.0553
362	J004552.68+422045.6	…	15.501	14.498	14.109	604.449	320.27	584.5	3500	320.27	163.124	534.471	1116.5	500	534.471	0.264	N	0.1084
363	J004553.34+414238.1	…	16.483	15.479	15.271	197.976	194.295	1166.5	388.889	194.295	136.662	74.622	297	152.174	136.662	0.027	N	0.0325
364	J004553.74+415237.6	…	16.55	16.041	15.789	191.457	1634.468	573	1166.667	1166.667	161.055	117.72	1116.5	184.211	161.055	0.055	N	0.0348
365	J004558.87+415519.1	…	16.449	15.74	15.265	191.119	148.965	322	151.739	151.739	34.874	1805.184	326.5	317.273	1805.184	0.037	N	0.0271
366	J004558.92+414642.1	…	15.165	14.351	14.085	132.647	559.353	577	498.571	559.353	1504.342	285.712	1174	1163.333	285.712	0.388	S	0.1215
367	J004600.50+415301.0	…	16.695	16.24	15.759	259.234	1460.067	1378	1163.333	1163.333	105.736	104.952	256	268.462	105.736	0.051	N	0.04
368	J004604.18+415135.4	…	15.158	14.318	13.985	3483.739	1838.607	1895	3490	3490	417.17	401.152	906.5	387.778	417.17	0.187	L	0.0378
369	J004604.32+414449.4	…	15.069	14.277	13.992	487.895	548.537	1006.5	498.571	498.571	120.567	181.012	987.5	218.125	181.012	0.352	S	0.0817
370	J004606.25+415018.9	…	15.265	14.485	14.108	1641.1	1614.387	1881	3490	3490	229.035	229.561	448.5	218.125	229.035	0.263	N	0.0545
371	J004607.45+414544.6	…	15.596	14.692	14.545	261.28	1627.631	1708	1745	1627.631	311.732	182.845	1359	349	349	0.145	N	0.0413
372	J004612.53+415002.8	…	16.766	16.011	15.546	231.978	294.177	571	290.833	290.833	190.752	189.475	188.5	232.667	188.5	0.018	N	0.0228
373	J004612.68+414818.8	…	16.675	15.766	15.441	111.37	127.044	157.5	1163.333	111.37	55.022	1369.45	395	872.5	872.5	0.015	N	0.023
374	J004614.57+421117.4	…	15.448	14.581	14.186	228.884	148.187	1933	1163.333	148.187	80.852	204.923	1910.5	349	204.923	0.118	S	0.0867
375	J004617.11+415720.8	…	15.652	14.778	14.566	1627.649	1515.795	1593.5	1745	1515.795	13.512	511.779	554.5	498.571	554.5	0.207	N	0.0612
376	J004620.15+414753.7	…	15.748	14.881	14.762	22.003	332.057	1475	698	1475	55.748	105.735	317.5	581.667	105.735	0.064	N	0.0305
377	J004620.92+415545.8	…	15.972	15.056	14.994	93.711	530.935	571.5	581.667	530.935	92.791	91.931	184.5	109.063	92.791	0.04	N	0.0246
378	J004623.75+420141.4	…	15.836	14.904	14.63	43.942	335.422	351.5	317.273	335.422	334.298	177.453	355.5	174.5	174.5	0.209	S	0.0753
379	J004625.83+421011.5	…	16.248	15.363	15.053	1134.704	201.185	1024	1163.333	1134.704	133.36	134.26	408	205.294	205.294	0.097	N	0.0371
380	J004627.02+413236.3	…	16.492	15.58	15.067	161.968	348.369	323.5	290.833	161.968	757.913	346.545	323	349	346.545	0.021	N	0.0195
381	J004627.53+420950.9	…	16.555	15.567	15.394	297.265	603.555	1302.5	498.571	603.555	203.04	195.828	400.5	387.778	203.04	0.019	N	0.0249
382	J004627.54+422343.5	…	16.769	16.279	15.703	–	–	–	–	–	–	–	–	–	–	–	–	–
383	J004631.49+421133.1	…	15.039	14.094	13.676	216.783	283.671	574.5	290.833	283.671	168.855	596.306	1359.5	1745	1745	0.275	N	0.1053
384	J004632.04+415316.6	…	17.035	15.712	15.669	367.728	21.695	1141.5	387.778	367.728	30.639	31.776	1768.5	581.667	31.776	0.025	N	0.0265
385	J004632.18+415935.8	…	14.522	13.711	13.363	740.933	594.52	1481.5	700	740.933	522.553	503.984	516.5	250	522.553	0.272	S	0.0484
386	J004632.74+420149.1	…	16.245	15.505	14.967	151.349	1855.804	1907.5	3500	3500	612.871	105.398	933	250	105.398	0.101	N	0.0383
387	J004633.38+415951.3	…	14.237	13.426	13.148	1588.585	1627.631	1615	1745	1588.585	562.53	564.121	1615	581.667	564.121	0.044	N	0.0257
388	J004633.50+421109.4	…	15.498	14.579	14.352	371.86	1788.909	2228.5	3490	2228.5	201.597	102.833	567	349	102.833	0.257	N	0.0799
389	J004633.73+420907.1	…	–	–	–	963.947	1264.782	1000.5	872.5	1000.5	164.11	75.017	133.5	166.19	164.11	0.015	N	0.0279
390	J004634.01+421109.4	…	16.396	15.515	15.301	246.369	1641.066	1993.5	1163.333	1163.333	874.771	226.937	1798	232.667	226.937	0.078	N	0.0365
391	J004634.98+420953.8	…	16.642	15.95	15.806	2647.642	1772.955	1877.5	3490	2647.642	52.037	58.905	1067	872.5	872.5	0.037	N	0.0304
392	J004635.65+421355.6	…	16.811	16.28	15.452	3483.739	74.65	2501	3490	3490	25.612	27.415	999.5	268.462	27.415	0.023	N	0.0291
393	J004636.57+421253.6	…	16.65	15.888	15.666	208.585	208.801	2375.5	581.667	208.585	13.783	46.211	957	498.571	46.211	0.021	N	0.0249
394	J004636.65+421905.4	…	16.628	15.504	15.411	106.019	96.487	315.5	349	106.019	38.409	38.61	1777.5	698	38.61	0.032	N	0.0323
395	J004636.77+420325.9	…	16.628	15.748	15.262	456.49	126.558	446.5	498.571	456.49	21.327	102.514	513	85.122	102.514	0.03	N	0.0241
396	J004638.17+420008.9	…	15.039	14.182	13.768	1085.098	1741.857	2251	1166.667	1166.667	1189.059	567.344	1933	583.333	567.344	0.263	I	0.092
397	J004638.81+415456.1	…	15.637	14.71	14.409	22.946	347.758	372	349	372	373.961	183.014	550	193.889	193.889	0.26	N	0.0852
398	J004639.99+421154.7	…	15.926	15.332	14.836	24.5	462.867	1223.5	436.25	436.25	12.363	1154.481	1258.5	1163.333	1154.481	0.079	N	0.0308
399	J004640.12+421326.0	…	16.032	15.22	15.015	161.049	274.648	501	268.462	274.648	143.064	122.802	243.5	139.6	122.802	0.047	N	0.0348
400	J004640.77+420746.0	…	15.51	14.57	14.272	351.457	353.327	341	205.294	353.327	170.449	133.717	338	166.19	133.717	0.086	S	0.0395
401	J004641.66+423327.5	…	–	–	–	–	–	–	–	–	–	–	–	–	–	–	–	–
402	J004643.30+414648.8	…	17.26	16.085	15.52	393.214	353.957	790.5	387.778	387.778	60.707	16.743	653	166.19	16.743	0.018	N	0.021
403	J004646.19+414655.0	…	16.581	15.783	15.659	70.919	1821.759	1626	3490	1821.759	256.554	255.889	791	268.462	256.554	0.03	N	0.0239
404	J004648.83+420418.4	…	14.585	13.603	13.215	1527.486	1527.464	1951	1163.333	1163.333	1002.895	356.499	1799.5	3490	3490	0.387	N	0.1083
405	J004655.39+415827.0	…	16.048	15.29	15.196	263.709	1563.551	2362	1163.333	1563.551	143.167	114.384	2126.5	3490	3490	0.098	N	0.0342
406	J004656.67+415813.3	…	15.774	14.919	14.77	220.24	97.232	443	218.75	97.232	845.194	467.541	2197	291.667	467.541	0.057	N	0.0344
407	J004659.64+415226.7	…	16.389	15.512	15.225	15.751	1028.86	964	872.5	964	12.952	551.584	1702	436.25	551.584	0.032	N	0.0215
408	J004705.87+415206.9	…	15.969	15.069	14.817	173.436	115.614	77.5	318.182	318.182	11.918	12.434	42.5	28.689	28.689	0.156	U	0.0041
409	J004716.63+421055.5	…	16.996	16.111	15.822	–	–	–	–	–	–	–	–	–	–	–	–	–
410	J004731.12+422749.1	…	14.241	13.501	13.244	–	–	–	–	–	–	–	–	–	–	–	–	–
411	J004735.14+422901.6	…	16.616	15.753	15.198	–	–	–	–	–	–	–	–	–	–	–	–	–
412	J004738.09+422426.0	…	15.961	15.078	14.659	–	–	–	–	–	–	–	–	–	–	–	–	–
413	J004747.34+421854.6	…	16.774	15.99	15.763	–	–	–	–	–	–	–	–	–	–	–	–	–
414	J004748.71+420423.8	…	15.794	15.174	14.663	–	–	–	–	–	–	–	–	–	–	–	–	–
415	J004756.76+423308.8	…	15.392	14.533	14.27	–	–	–	–	–	–	–	–	–	–	–	–	–
416	J004809.87+422802.5	…	16.494	15.843	15.285	–	–	–	–	–	–	–	–	–	–	–	–	–
417	J004812.70+421426.3	…	–	–	–	–	–	–	–	–	–	–	–	–	–	–	–	–
418	J004814.12+421401.5	…	16.544	15.893	15.57	–	–	–	–	–	–	–	–	–	–	–	–	–
419	J004833.88+423113.1	…	16.729	16.163	15.615	–	–	–	–	–	–	–	–	–	–	–	–	–
420	J004838.58+423224.7	…	15.536	14.7	14.473	–	–	–	–	–	–	–	–	–	–	–	–	–

Equations4

\frac{L}{L _{⊙}} = (\frac{M}{M _{⊙}})^{γ}

\frac{L}{L _{⊙}} = (\frac{M}{M _{⊙}})^{γ}

M_{bol} = 4.74 - 2.5 \times lo g (\frac{L}{L _{⊙}})

M_{bol} = 4.74 - 2.5 \times lo g (\frac{L}{L _{⊙}})

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Full text

The Period-Luminosity Relations of Red Supergiants in M33 and M31

Yi Ren

Department of Astronomy, Beijing Normal University, Beijing 100875, China

Bi-Wei Jiang

Department of Astronomy, Beijing Normal University, Beijing 100875, China

Ming Yang

Institute for Astronomy, Astrophysics, Space Applications & Remote Sensing, National Observatory of Athens, Vas. Pavlou and I. Metaxa, Penteli 15236, Greece

Jian Gao

Department of Astronomy, Beijing Normal University, Beijing 100875, China

(Accepted by ApJS February 15, 2019)

Abstract

Based on previously selected preliminary samples of Red Supergiants (RSGs) in M33 and M31, the foreground stars and luminous Asymptotic Giant Branch stars (AGBs) are further excluded, which leads to the samples of 717 RSGs in M33 and 420 RSGs in M31. With the time-series data from the iPTF survey spanning nearly 2000 days, the period and amplitude of RSGs are analyzed. According to the lightcurves characteristics, they are classified into four categories in which 84 and 56 objects in M33 and M31 respectively are semi-regular variables. For these semi-regular variables, the pulsation mode is identified by comparing with the theoretical model, which yielded 19 (7) sources in the first overtone mode in M33 (M31), and the other 65 (49) RSGs in M33 (M31) in the fundamental mode. The period-luminosity (P-L) relation is analyzed for the RSGs in the fundamental mode. It is found the P-L relation is tight in the infrared, i.e. the 2MASS $JHK_{\rm S}$ bands and the short-wavelength bands of Spitzer. Meanwhile, the inhomogeneous extinction causes the P-L relation scattering in the $V$ band, and the dust emission causes the less tight P-L relation in the Spitzer/[8.0] and [24] bands. The derived P-L relations in the 2MASS/ $K_{\rm S}$ band are in agreement with those of RSGs in SMC, LMC and the Milky Way within the uncertainty range. It is found that the number ratio of RSGs pulsating in the fundamental mode to the first overtone mode increases with metallicity.

stars: late-type stars: oscillations stars: variables: other supergiants

††software: astropy (Astropy Collaboration et al., 2013), SExtractor (Bertin & Arnouts, 1996), VARTOOLS (Hartman et al., 2016)

1 Introduction

Red Supergiants (RSGs) are Population I stars in helium burning stage with a mass range of about 9-27 ${\rm M_{\odot}}$ . They have relatively low effective temperature of $\sim 3000-4000$ K and the corresponding spectral types of late K- to M-types (Massey et al., 2008). Their radius is large, with the maximum radius being $\sim 1500{R_{\odot}}$ (Levesque et al., 2005), so that they have low surface gravity of $\log\rm g<1.0$ , but high luminosity of $\sim 3\,500-630\,000{L_{\odot}}$ (Massey et al., 2008; Massey & Evans, 2016).

RSG is a phase of very significant mass loss (Stothers & Chin, 1996). The Reimers law (Reimers, 1975; Kudritzki & Reimers, 1978) is an empirical relation between mass loss rate (MLR), stellar luminosity, radius and mass derived from a sample of red giants and RSGs: $\dot{M}=5.5*10^{-13}{L_{\odot}R_{\odot}/M_{\odot}}$ . van Loon et al. (2005) also derived the relationship between MLR and stellar parameters, but based on the samples of RSGs and oxygen-rich Asymptotic Giant Branch stars (AGBs) in Large Magellanic Cloud (LMC): $\log(\dot{M})=-5.5+1.05\log(L/10000{L_{\odot}})-6.3\log(T_{\rm eff}/3500{\rm K})$ . However, Mauron & Josselin (2011) pointed out that the result might be biased toward larger values of $\dot{M}$ because the samples contained mainly extremely dusty RSG stars and the limitations of the mid-IR data available then.

Circumstellar dust forms with stellar mass loss and most RSGs have some amount of circumstellar dust (Verhoelst et al., 2009). These dust have obvious infrared emission, especially in the mid-infrared band, which makes the luminosity of such RSGs in infrared band exceed the upper limit of the theoretical luminosity of RSGs, and the contribution can be observed in the Spitzer 8 $\mu$ m and 24 $\mu$ m band.

RSGs are critical and important as both direct and indirect progenitors of supernovae that spend some time in the RSG phase. Lower mass RSGs are known to be the direct progenitors of core-collapse Type II-P supernovae with clear hydrogen lines in optical spectrum and a distinctive plateau in visual lightcurves. A certain number of Type II-P supernovae have been proved to associate with RSG progenitors by observation (Smartt, 2015; Maund, 2017). Higher mass RSGs, however, first noticed by Smartt et al. (2009), have not been detected as supernova progenitors. It may indicate that higher mass RSGs are not the direct progenitors of supernova, instead, they evolve back across the H-R diagram, spending a short time as yellow supergiants, blue supergiants or Wolf-Rayet stars before exploding as a supernova (Ekström et al., 2012). But high mass RSGs play an important role in their final fate because the mass-loss processes and dust production in the RSG phase will influence their ending.

Large amount of dust is detected in high redshift galaxies when the low-mass stars have not evolved to the AGB phase to become the dust contributor (Riechers et al., 2013). Therefore, the massive stars are the main if not unique providers of dust then. RSGs and supernovae (SNe) must be the major contributors to the interstellar dust in such distant galaxies.

Most RSGs show some degree of variability in the visual band. The typical amplitude of variation in the $V$ band is about 1 mag, while in the near-infrared the amplitude is smaller, about 0.25 mag in the $K$ band, and even smaller in the mid-infrared band (Levesque et al., 2007; Yang et al., 2018). According to the characteristics of light variation, the RSG variability is divided into two categories: one is irregular variation which is too complex to be delineated by any period; the other is semi-regular variation that can be further divided into two subclasses: one with short period ( $\leq$ several hundred days) and the other with Long Secondary Period (LSP) ( $\geq$ thousand days). The main difficulty in the study of variability of RSGs is the long time scale of variation. The time-series data need to span over several hundreds of days to cover at least one entire period of variation. If the LSP is present and desired to be determined, an even longer time-baseline is required to last for several years.

Like other types of pulsating variables, RSGs exhibit the period-luminosity (P-L) relation. Both theory and observation prove the existence of the P-L relation in RSGs with semi-regular variation, especially the RSGs with short period variation. Guo & Li (2002) derived the theoretical P-L relations of fundamental (FU), first overtone (1O) and second overtone pulsation models for 15-30 $M_{\odot}$ RSGs. In the Milky Way, based on the light curves collected by the American Association of Variable Star Observers (AAVSO) with a span of 60 years, Kiss et al. (2006) studied 18 red supergiant stars to obtain their P-L relation.

Based mainly on the All Sky Automated Survey (ASAS) (Pojmanski, 2002) and MAssive Compact Halo Objects (MACHO) (Alcock et al., 1997) observation, Yang & Jiang (2011, 2012) analyzed the lightcurves of 112 RSGs in Small Magellanic Cloud (SMC) and 169 RSGs in LMC and determined the periods of those semi-regular variables. They derived the P-L relation based on 47 RSGs in LMC and 21 RSGs in SMC with short period semi-regular variation which was consistent with the result of theory (Guo & Li, 2002). They also analyzed a sample of 40 RSGs in M33 and obtained their P-L relation in the 2MASS/ $K_{\rm S}$ band by using the period from Kinman et al. (1987).

An extension to the environments of various metallicity will examine its effect on the P-L relationship. In the Local Group, the metallicity has a wide range from sub-solar in SMC ( ${\rm 12+\log(O/H)=8.13}$ ; Russell & Dopita 1990) and LMC ( ${\rm 12+\log(O/H)=8.37}$ ; Russell & Dopita 1990) to solar in the Milky Way ( ${\rm 12+\log(O/H)=8.70}$ ; Esteban & Peimbert 1995) and M33 ( ${\rm 12+\log(O/H)=8.75}$ ; Garnett et al. 1997) and then to super-solar in M31 ( ${\rm 12+\log(O/H)=9.00}$ ; Zaritsky et al. 1994). It is known that the metallicity affects the ratios of blue-to-red supergiants (B/R) and Wolf-Rayet stars to RSGs (W-R/RSG). The B/R ratio changes by about 7 times (Maeder et al., 1980) and the W-R/RSG ratio changes by about 100 times over 0.9 dex in metallicity (Massey, 2002). Unfortunately, differences in W-R/RSG ratio cannot be fully explained by stellar evolutionary models of massive stars. Besides, metallicity has an obvious impact on color indices (or spectral types) and effective temperatures of RSGs. The spectral types of RSGs shift toward earlier at lower metallicities (Elias et al., 1985; Massey & Olsen, 2003; Levesque & Massey, 2012; Dorda et al., 2016). The effective temperatures of RSGs shift to warmer at lower metallicities, which was demonstrated by observation in different regions of M33 (Drout et al., 2012). The effect of metallicity on the P-L relation of RSGs is however not yet clear. From the studies of the variability of RSGs in SMC, LMC, the Milky Way, the P-L relations seem to be very similar despite of various metallicity. From the evolution and pulsation model of RSGs, for a given period, the higher the metallicity is, the fainter the luminosity is. The luminosity increases by 0.25 mag while metal abundance is doubled at a given period. On the other hand, the P-L relations at different metallicities show a tendency of increasing period with increasing metal abundance (Guo & Li, 2002).

Now, the Intermediate Palomar Transient Factory (iPTF) survey (Law et al., 2009; Rau et al., 2009) covers the M33 and M31 sky area, and its time baseline is about 2000 days, providing a possibility for an elaborate analysis of the variation of RSGs in M33 and M31. Soraisam et al. (2018) already analyzed the P-L relation of RSG in M31 using iPTF data spanning from MJD 56000 to 58000. Here we analyze the case of M33. For consistency, M31 data is also included and checked the agreement with the result of Soraisam et al. (2018).

2 The sample of RSGs

2.1 Foreground stars

A complete and pure sample of RSGs forms the solid basis to obtain a reliable P-L relation. Spectroscopy is the best tool to identify RSG in the Milky Way. Unfortunately, the extra-galactic RSGs may not be bright enough for high signal-to-noise ratio spectrum. On the other hand, they benefit the advantage of being at almost the same distance so that the apparent magnitude plays a role like absolute magnitude. Therefore, RSGs in the extragalactic systems can be identified by multiband photometry (e.g. Massey et al. 2006). The threshold of the luminosity and the range of color index are used to select the RSG candidates. For example, the $V=20$ mag cut-off and color index $V-R\geq 0.85$ are used to select the RSG candidates in M31 (Massey et al., 2009; Massey & Evans, 2016), where the $V=20$ mag cut-off ensures sufficient brightness to block out the AGBs and the color index $V-R\geq 0.85$ restrict the stars to K- and later type. The sample selected by this method can still be contaminated by foreground dwarf stars and red giants in the Galactic halo. Massey (1998) proved that the combination of color indexes $V-R$ and $B-V$ can effectively separate RSGs from the foreground dwarfs, because $V-R$ is only sensitive to the effective temperature, while $B-V$ is sensitive to both the effective temperature and surface gravity so that the low-surface gravity RSGs and the high-surface gravity dwarfs are significantly different in $B-V$ . Comparison of the Besançon model (Robin et al., 2003) with the observed color-magnitude diagram (CMD) (Massey et al., 2016) and the kinetic identification (comparing the radial velocities of RSGs (Massey et al., 2009) with the HII regions in M31 (Rubin & Ford, 1970)) found that the pollution probability of red giants in the Galactic halo was rather small.

The Local Group Galaxies Survey (LGGS) (Massey et al., 2006, 2007) took images of several galaxies in the Local Group including M33 and M31 by using the 4-meter telescopes at the Kitt Peak National Observatory (KPNO) and the Cerro Tololo Inter-American Observatory (CTIO). This survey worked in multiple bands ( $U,B,V,R,I$ ) at a 1 $\sim$ 2% photometry precision with a limiting magnitude of $\sim$ 21 mag. Massey et al. (2009) and Massey & Evans (2016) published a sample of 437 RSG candidates in M31 based on the Two-Color Diagrams (TCD) method. We select RSG candidates in M33 by the same method with the criteria of $V<20$ , $V-R>0.65$ and $B-V>-1.599(V-R)^{2}+4.18(V-R)-0.83$ (see Drout et al. 2012) and obtain a sample of 749 RSG candidates in Fig.2. It can be seen that significant differences show up between supergiant candidates and foreground dwarfs which locate above and below the separating line respectively.

Although Massey et al. (2009, 2016) demonstrate that the pollution probability of foreground red giants is small, we further use the distance of stars to check this argument directly with the help of the Gaia DR2 that provides parallaxes of 1.3 billion stars (Gaia Collabortion et al., 2018). All the stars shown in Fig.2 and Fig.2 are cross-matched with the Gaia DR2 and their distances are calculated with the Smith-Eichhorn correction method (Smith & Eichhorn, 1996) from the GAIA-measured parallax. The distances of 918 red stars in M33 and 2216 red stars in M31 have relative error better than 20%. Two (five) RSG candidates in M33 (M31) selected by the TCD method are found to have a distance modulus less than 24.66 (24.40) - the distance modulus of M33 (M31), which are marked by black circles in Fig.2 and Fig.2. This confirmed that the pollution probability of red giants is truly small, on the scale of about one percent. Besides, foreground stars from TCD method are analysed to check the agreement with GAIA distances: 430 of 1677 foreground stars in M33 and 1161 of 3589 foreground stars in M31 are confirmed by the GAIA distances. Removing the foreground red giants from the TCD-selected samples, we are left with the samples of 747 RSG candidates in M33 and 432 RSG candidates in M31 consequently.

2.2 The AGB stars

Once the foreground stars are removed, the only pollution is the AGB stars in M33 and M31. On the HR diagram, the high luminosity AGB stars have a definite overlap with the low luminosity RSGs (Brunish et al., 1986). We solve this problem by setting the luminosity threshold in multiple bands. According to the mass-luminosity relation of massive stars:

[TABLE]

where $\gamma\approx 4$ (Stothers & Leung, 1971), the RSG luminosity corresponding to the mass range of 9-27 ${M_{\odot}}$ is ${9^{4}-27^{4}L_{\odot}}$ . With the relationship between luminosity and absolute bolometric magnitude:

[TABLE]

the upper and lower limits of $M_{\rm bol}$ are $M_{\rm bol}^{\max}=-9.57$ and $M_{\rm bol}^{\min}=-4.80$ . Given the distance modulus of M33 being 24.66 (Orosz et al., 2007) and of M31 being 24.40 (Perina et al., 2009), the limits of apparent bolometric magnitudes become $m_{\rm bol}^{\max}=15.09$ and $m_{\rm bol}^{\min}=19.86$ for M33, and $m_{\rm bol}^{\max}=14.83$ and $m_{\rm bol}^{\min}=19.60$ for M31. On the observational side, the bolometric $K$ correction in the $K$ band from Bessell et al. (1998a, b) is added to obtain the apparent bolometric magnitude from the apparent $K$ band for the RSG stars within given mass range. First, the effective temperature is derived from the intrinsic color index $(V-K)_{0}$ : $T_{\rm eff}=8130.9-2113.22(V-K)_{0}+327.883(V-K)^{2}_{0}-17.7886(V-K)^{3}_{0}$ , where $(V-K)_{0}$ is calculated from the observed color by subtracting the interstellar extinction by assuming $A_{V}=1$ and $A_{K}/A_{V}=0.12$ for all RSG candidates (Massey & Evans, 2016). Then, the bolometric correction in the K band is calculated from ${\rm BC}_{K}=7.149-1.5924(T_{\rm eff}/1000{\rm K})+0.10956(T_{\rm eff}/1000{\rm K})^{2}$ (Bessell et al., 1998a, b) where the difference between the $K$ and $K_{\rm S}$ bands is very small and ignored in this work. The linear relationship of the apparent magnitude with the apparent bolometric magnitude is derived, which is used to convert the limits of bolometric magnitudes to that in the corresponding band. The results of linear fitting between bolometric magnitude and that in the $\lambda$ band are shown in Fig.3 and 4, e.g. the upper and lower limits in the $J$ band is derived to be 13.54 mag and 18.73 mag which correspond to the limits of apparent bolometric magnitudes of $m_{\rm bol}^{\max}=15.09$ and $m_{\rm bol}^{\min}=19.86$ for M33. The case of M31 is presented in Table 2 and Fig.4.

It is worthy to note that the linear fitting has relatively large dispersion in the Spitzer 8 $\mu$ m and 24 $\mu$ m bands. This can be understood by the contribution of circumstellar dust to the flux at 8 $\mu$ m and 24 $\mu$ m in addition to the stellar photosphere. This scattering leads to relatively uncertain limits of brightness in the 8 $\mu$ m and 24 $\mu$ m bands.

Once the range of the brightness in some bands, mainly the lower limit of the brightness, is set up, the locations of the RSG stars can be delineated in the CMD with the help of the color index and the AGB stars can be separated. Several near- and mid-infrared CMDs are shown in Fig.5 and Fig.6, where the magenta solid line marks the upper limit of luminosity and the magenta dashed line marks the lower limit of luminosity. The range of color index is marked by red dashdot line and blue dashdot line. From multiple CMDs of M31 and M33, the following facts are observed:

The maximum luminosity of all sources agrees well with the theoretical limit of RSGs corresponding to $M=27{M_{\odot}}$ . 2. 2.

The minimum luminosity of all sources is about one magnitude above the theoretical limit of RSGs corresponding to 9 $M_{\odot}$ . The reason may be the selection effect of observation that the fainter RSGs are not detected due to the sensitivity limit. 3. 3.

In the CMD of $K_{\rm S}$ vs $J-K_{\rm S}$ , the red limit is at $J-K_{\rm S}=1.60$ , which is the limit of the carbon-rich and oxygen-rich stars from Hughes & Wood (1990). The blue limit is at $J-K_{\rm S}=0.50$ , which is the observational limit of the RSGs in the Galactic halo obtained by Josselin et al. (2000). 4. 4.

In the [3.6] vs $J-[3.6]$ diagram, about 95% of the color index values lie within two standard deviations, the limits of blue and red colors are set to include over 95% sources in the sample based on the distribution. 5. 5.

Because of the influence of the CO absorption line on the 4.5 $\mu$ m band, the RSGs appear fainter in this band. So they look blue in the color index [3.6]-[4.5] and most of the sources have negative values. 6. 6.

In the CMDs of [8.0] vs $J-[8.0]$ and [8.0] vs $K_{\rm S}-[8.0]$ , $K_{\rm S}-[8.0]$ becomes redder along with the increasing brightness in the [8.0] band due to the emission of circumstellar dust. There even exists a good linear relationship between the color index and the brightness at [8.0]. For M33, $[8.0]=-1.10\times(J-[8.0])+16.26$ and $[8.0]=-1.09\times(K_{\rm S}-[8.0])+15.03$ . For M31, $[8.0]=-1.20\times(J-[8.0])+16.11$ and $[8.0]=-1.24\times(K_{\rm S}-[8.0])+14.80$ . Therefore, the red limit of the color index is taken at the intersection point of the fitting line and the upper limit of the luminosity. Once the red limit is set, the blue limit is set to ensure the probability that lies in the range between the limits of blue and red colors is 95% based on the distribution. 7. 7.

In the CMD of [24] vs [8.0] - [24], due to the influence of the infrared emission of circumstellar dust on the 24 $\mu$ m band, some sources supersede the theoretical luminosity upper limit of the RSGs. The limits of the color index [8.0] - [24] are set to include over 95% stars in the sample based on the distribution.

In order to clear of the pollution of AGB stars, sources which are fainter than the lower limit of $K_{\rm S}$ , $[3.6]$ , $[8.0]$ , $[24]$ bands are removed.

Sources which are bluer than the blue limit of $J-K_{\rm S}$ or the blue limit of $J-[3.6]$ should be removed as well. As for color indexes of $J-[8.0]$ , $K_{\rm S}-[8.0]$ , $[8.0]-[24]$ , they are not reasonable criterion due to the impact of circumstellar dust, we only mark by experience the range of these three color index.

In the CMDs of M33, 36 sources are bluer than the blue limit of $J-K_{\rm S}$ or $J-[3.6]$ , however, 16 of them have been identified as RSGs by spectroscopy (Massey & Evans, 2016). In addition, 1, 1, 2, 6 sources are fainter than the lower limit of the Spitzer/IRAC [3.6], [5.8], [8.0] and Spitzer/MIPS [24] band respectively. In total, 30 sources are removed finally.

For M31, 22 sources are bluer than the blue limit of $J-K_{\rm S}$ or $J-[3.6]$ , however, 11 of them have been identified as K-type or M-type supergiant stars by spectroscopy (Massey & Evans, 2016) so that they are kept, and 1 of these sources is also fainter than the lower limit of Spitzer/IRAC [3.6] band magnitude. Besides, 1 source is fainter than the lower limit of the Spitzer/MIPS [24] band magnitude and removed. In total, 12 sources are removed.

We are left with the samples of 717 RSGs in M33 and 420 RSGs in M31 at last.

3 Time-domain data

3.1 The iPTF data

The time-series data is taken from the iPTF survey, a wide-field survey for an exploration of optical transients using the 1.2-meter Samuel Oschin Telescope at Palomar Observatory (Law et al., 2009; Rau et al., 2009). This survey uses a large field camera covering 7.8 square degrees with 11 2048 $\times$ 4096 CCDs at a resolution of 1.01 arcsec/pixel. In the iPTF survey, 2 and 6 frames covered the M33 and M31 sky area respectively from 2009 Aug to 2015 Jan (about 2000 days in total) with a typical seeing of 2 arcseconds. Although the images were taken in both $R$ and $g$ band, the $R$ band observations are dominant and make use of >80% time, reaching 20.5 mag at a 5-sigma level. Therefore we choose the $R$ band iPTF data to analyze the variation of RSGs. The RSGs are selected in the iPTF images within three arcseconds from the position of the star. Fig.7 and Fig.8 show the iPTF images that include 658 and 377 RSG stars in M33 and M31 respectively, whose light variations are further analyzed.

3.2 Photometry

The CCD images were processed in a standard way. We measured all the iPTF images available (796 images of M33, 1980 images of M31) using the Sextractor code (Bertin & Arnouts, 1996) with fixed coordinates. For a precise photometry, a stable reference star should be chosen for differential photometry, and its brightness and color should be similar to the target stars in order to cancel the influence of the instruments and atmosphere as much as possible. For this purpose, we made an artificial reference star whose brightness is the average of all the red supergiant stars in each image, i.e. the average of approximately 700 RSGs in M33 and 100 RSGs in M31 within one image. Naturally, this artificial star has the very typical color of RSGs. The large scale of the sample should smooth out the variation of all red supergiant stars, which makes the artificial reference star stable. The stability of the brightness is checked by comparing with a star from the Tycho reference catalogue (Hog et al., 1998) with a brightness of $VT=12.608$ mag and a color of $VT-BT=1.704$ similar to RSGs. As shown in Fig.10, the standard error of differential photometry between the artificial reference star and the Tycho reference star is about 0.04 mag, which implies the photometric accuracy to be better than 0.04 mag. Considering this Tycho reference star is much brighter than the RSGs, the real accuracy should be even better. In order to achieve a good photometry quality, the size of the aperture is adjusted according to the full width at half-maximum (FWHM) of the PSF in each image by $R_{\rm aperture}=1.5+1.2\times\rm FWHM$ .

4 Period Determination

Before we start to determine the period of light variation, the original photometric data from differential photometry are processed further. First the outlying points are removed by using the locally weight linear regression (LWLR), with its most common method known as locally estimated scatterplot smoothing (LOESS). The weight function used for LOESS is the Gaussian function: $\omega(x,z)={\rm exp}(-(x-z)^{2}/2\kappa^{2})$ where we adopted $\kappa=4.5$ with eye-check after trying the value in the range of [0.01,10]. The points lying more than 3 $\sigma$ away from the locally fitting line are removed. Then the moving-average filter was used to smooth the light curve, in which a window of 9 days is taken. Fig.10 illustrates an example showing the two processes and the resulted light curve for period determination.

For the period determination of non-uniformly sampled data as the present case, no single algorithm is fully suitable. It is necessary to use various methods to cross-check the existence of periodicity. The popular methods for determining period are the Phase Dispersion Minimization (PDM) (Stellingwerf, 1978) algorithm based on the time domain, the Generalised Lomb-Scargle periodogram (GLS) (Zechmeister & Kurster, 2009) algorithm based on the frequency domain, the Weighted Wavelet Z-transform (WWZ) (Josselin et al., 1996) algorithm based on the time-frequency and the discrete Fourier transform (DFT) based on frequency domain. All these four methods are applied to the light curves of the RSGs in M33 and M31.

The PDM method looks for the period that brings about the minimum phase dispersion designated by $\Theta$ in a number of trial periods. The GLS method is an improvement on the traditional Lomb-Scargle (LS) (Lomb, 1976; Scargle, 1982) method. The main improvement is that the GLS algorithm uses the sine function of the addition constant $\rm C$ to fit the time-series data and each calculation takes into account the effect of observation error $\omega$ . Therefore, the period estimation accuracy of the GLS algorithm is better than that of the LS algorithm. The WWZ method is a period determination algorithm based on wavelet analysis and vector projection, very suitable for the analysis of non-stationary signals and has advantages in the analysis of time-frequency local characteristics. The DFT method is a classical period determination algorithm based on Fourier transform.

We use the GLS, DFT and WWZ methods from VARTOOLS (Hartman et al., 2016) and PDM (Stellingwerf, 1978) method from PyAstronomy for the period determination. The parameters used in the methods are shown in Table 3 in details. The final selection of the period depends on the goodness of fitting the lightcurve. A period is assigned to an object with semi-regular variation only when it is detected by at least two methods whose difference in period is usually ( $>70\%$ ) less than 40 days while up to 50-90 days in a few cases. The period is searched continuously in the power spectrum of the residual data after subtracting the light variation with the most prominent period until the local signal to noise ratio of the power spectrum is less than 4. Fig.11 shows an example of period determination, where both the PDM and GLS methods find a period at $\sim$ 347 days, and the WWZ method also confirms that this period is present in most of the observational time. Based on the period and the regularity of light variation, these RSGs are classified into five categories:

Semi-regular variables, marked as S, which have definitely a period and are used for the follow-up analysis of the P-L relations. There are 84 (56) sources in M33 (M31). 2. 2.

LSP variables, marked as L, which show evidence of LSP while the LSP cannot be determined accurately due to the limited time span of the iPTF data ( $\sim$ 2000 days). There are 48 (13) sources in M33 (M31). 3. 3.

Irregular variables, marked as I, which have small amplitude and too complex variation to show any periodicity. There are 14 (21) sources in M33 (M31). 4. 4.

Undefined class, marked as U, which lack enough observational data to determine its variability. There are 86 (18) sources in M33 (M31). 5. 5.

No significant variables, marked as N, which have no significant variation. There are 426 (269) sources in M33 (M31).

The light curves of the examples of the first three types are shown in Fig.12.

The light curves with the fitting of all stars are displayed in Appendix A, and the properties of variation and photometric results are appended in Appendix B.

In addition, three stars exhibit very regular light variation, which are J004115.35+405025.2, J004415.42+413409.5 in M31 and J013237.47+301833.9 in M33. Among them, J004115.35+405025.2, J004415.42+413409.5 are also studied by Soraisam et al. (2018). These sources have relatively short period (96.5, 76.5 and 146.5 days respectively). The spectral types are identified as K1 for J004115.35+405025.2, K2 for J004415.42+413409.5 and RSG for J004415.42+413409.5 (Massey & Evans, 2016). As discussed previously, the luminosity of these stars indicates that they are supergiants which means that some RSGs may have regular variation. It will be shown in the next section that these stars very possibly pulsate in the first overtone mode. These three RSGs are plotted in the Hertzsprung-Russell diagram (HRD) in Fig.13. It can be seen that RSG J013237.47+301833.9 in M33 lies in the instability strip (IS), while J004115.35+405025.2, J004415.42+413409.5 in M31 are very close to the IS. Moreover, these stars are at the faint end of the RSGs, which implies relatively low-mass. We may say that these regular variables are RSGs with relatively low mass and relatively high temperature. On the other hand, there are some other sources also in the IS and they are not regular variables but semi-regular variables. It is known that yellow supergiant (YSG) is a kind of Cepheid, meanwhile RSGs and YSGs are hard to distinct near the blue limit of RSGs as the three regular variables are. It can be concluded that Some RSGs with early K spectral types may lie in the IS and have very regular variations.

5 Period-Luminosity Relation

The P-L relation is derived for the bands with photometry data available, from the optical V band through 2MASS near-infrared $JHK_{\rm S}$ bands to the Spitzer/IRAC and Spitzer/MIPS bands. As mentioned earlier, we only adopted the RSGs that show semi-regular variation and whose period are found by at least two methods.

The observational results are compared with the model by Guo & Li (2002) in Fig.14 and Fig.15. The absolute magnitude in the $K_{\rm S}$ band of the model is obtained from the absolute bolometric luminosity with the help of the bolometric correction in the $K_{\rm S}$ band by Josselin et al. (2000). Although the models are not perfectly matched with the observation, two sequences are clear in that most of the stars follow the sequence of the fundamental-mode pulsation and a few stars are closer to the first overtone pulsation mode. The three regular variables all locate close to the first overtone model. Because the pulsations of the fundamental and first overtone modes follow different P-L relations, they must be separated to study this relation. We identify 19 stars in M33 and 7 stars in M31 pulsating in the first overtone mode, and their P-L relation is not analyzed due to too few stars. Nevertheless, there is no clear indication of a P-L relation for them. The P-L relation of the 65 RSGs in M33 and 49 RSGs in M31 that pulsate in the fundamental mode is then analyzed.

In principle, the brightness should be the mean magnitude when the P-L relation is dealt with. However, the brightness in the $V$ band is taken from the single measurement by LGGS. Since the amplitude of variation in the $V$ band is $\sim 1$ mag, this can cause some dispersion in the P-L relation in the $V$ band. Although the brightness in the infrared bands is also taken from the single measurement, the small amplitude of variation makes the single measurement approximate to the mean brightness and do not bring significant scatter in the P-L relation.

Following the convention, a linear function is taken to fit the relation between the absolute magnitude and $\log\rm P$ . The results are displayed in Fig.16, Fig.18 and Table 4 for the M33 sample, and in Fig.17, Fig.20 and Table 5 for the M31 sample. It is apparent that there is a tight relation in the near infrared and the mid-infrared band. Quantitatively the correlation coefficients are around 0.8 (see Table 4 and Table 5), although it becomes less tight at the Spitzer [8.0] and [24] bands which is due to the scattering brought by circumstellar dust. On the other hand, the $V$ band shows almost no relation between brightness and period. The lack of P-L relation in the $V$ band may be caused by the large and inhomogeneous interstellar and circumstellar extinction, which is about 10 times that in the $K_{\rm S}$ band (Cardelli et al., 1989; Wang & Jiang, 2014) in addition to the relatively large amplitude of variation. With no accurate measurement of interstellar extinction to individual star, we applied the Wesenheit index $W_{BV}=V-R_{V}(B-V)$ . The parameter $R_{V}$ ( $\equiv A_{V}/E(B-V)$ , the total-to-selective extinction ratio) has an average value of 3.1 in the Milky Way, while it is not well determined in M31 and M33. This value is found to vary from about 2.0 to 3.3 towards different sightlines in M31 (Dong et al., 2014; Clayton et al., 2015), and it is not well measured in M33. We take the value of 3.1 for simple and reasonably good approximation. Fig.18 and 20 illustrate the relation of $W_{BV}$ with $\log\rm P$ . The relation is much improved that the correlation coefficient is increased to around 0.4 (see the last row of Table 4 and Table 5), which verifies that the lack of P-L relation in the $V$ band is partly caused by interstellar extinction. For a correct P-L relation in the $V$ band, an accurate correction of interstellar extinction should be made to each star individually and accurately. In summary, the P-L relation exists between the photosphere brightness and the period of light variation for RSGs with semi-regular variation in M33 and M31. There is a tight P-L relation for apparent brightness in the 2MASS/ $JHK_{\rm S}$ and Spitzer/IRAC1-3 bands. Meanwhile, the P-L relation should exist and can show up in the $V$ band when the interstellar extinction is corrected, and it will become tighter in the Spitzer [8.0] and [24] band when the emission of circumstellar dust is subtracted.

6 Comparison with other results

For further comparison with other results, we chose $K_{\rm S}$ band as a luminosity indicator and run Markov Chain Monte Carlo (MCMC) using PyMC3 (Salvatier et al., 2016) to obtain the uncertainty of the relation after taking the photometric error into account. The P-L relation in $K_{\rm S}$ band is as follows:

For M33, $M_{K_{\rm S}}=(-3.18\pm 0.46)\times\rm logP+(-1.87\pm 0.31)$ .

For M31, $M_{K_{\rm S}}=(-3.01\pm 0.38)\times\rm logP+(-2.29\pm 0.24)$ .

6.1 M33

Yang & Jiang (2012) derived the P-L relation of 40 RSGs in M33 from a sample by Kinman et al. (1987): $M_{K}=(-3.59\pm 0.41)\times\rm logP+(-0.88\pm 0.69)$ . The P-L relation is in agreement with this work within a reasonable error range as shown in Fig.20. However, we derived the P-L relation based on a larger sample of 84 sources with semi-regular variation and longer time baseline. Moreover, the P-L relation is derived in many more bands, including the visual $V$ band, other 2MASS bands and the Spitzer bands.

6.2 M31

The P-L relation of RSGs in M31 was obtained previously in the $K$ band by Soraisam et al. (2018) who also used the iPTF data. Their data spanned from MJD 56000 to 58000. Here we used the iPTF data from MJD 55050 to 57050 by the limit to data access. Soraisam et al. (2018) compared with the theoretical P-L relation from Modules for Experiments in Stellar Astrophysics (MESA) (Paxton et al., 2011, 2013, 2015, 2018). Consistent with our results, the majority of sources pulsate in the fundamental mode. After ignoring 10 RSGs in the first overtone pulsation mode and 2 RSGs with periods $<$ 100 days, they obtained the P-L relation: $M_{K}=(-3.38\pm 0.27)\times\rm logP+(-1.32\pm 0.75)$ . This P-L relation is also in agreement with our work within the error range as shown in Fig.20.

6.3 The Galaxy, LMC, SMC

Kiss et al. (2006) derived P-L relation based on 18 RSGs in the Milky Way and the light curves collected by AAVSO. Most of these RSGs are members of associations and clusters, and their distances are taken as that of the host associations and clusters. For three sources they used the Hipparcos parallaxes. Based mainly on the ASAS and MACHO data, Yang & Jiang (2011, 2012) derived the P-L relation of 47 RSGs in LMC and 21 RSGs in SMC. Comparison of the P-L relations of RSGs in different galaxies are shown in Fig.21. It can be seen that the P-L relation in M33 is very similar to SMC. The P-L relations seem to be similar in these galaxies except for the Milky Way. The P-L relation of RSGs in the Milky Way appears a little different that may be caused by the dispersion of estimated distance and interstellar extinction. It may be argued that the P-L relations in K band is universal in these nearby galaxies. It should be mentioned that the optical bands would be better to examine the dependence of the P-L relation on metallicity because the P-L relation is less dependent on metallicity in near-infrared bands than optical bands (Bhardwaj et al., 2017). Nevertheless, interstellar extinction is serious to make the determination of P-L relation more uncertain in optical bands.

The ratio of $\rm N_{FU}$ (the number of RSGs which pulsate in FU pulsation mode) to $\rm N_{1O}$ (the number of RSGs which pulsate in 1O pulsation mode) increase with the metallicity. The values $\rm N_{FU}/(N_{FU}+N_{1O})$ vary from SMC (0%), LMC (15%), the Galaxy (50%), M33 (77%) to M31 (87%) as shown in Fig.22 when we compare the results of SMC, LMC, Galaxy from Yang & Jiang (2012). The percentages may suffer some uncertainty because the identification of pulsating mode depends on the theoretical models adopted and the borderline between the two modes are not very sharp. However, it is apparent that $\rm N_{FU}/(N_{FU}+N_{1O})$ increases with metallicity. We explored the underlying physics and found that this may be related to convection. Yecko et al. (1998) calculated the turbulent convective Cepheid models and found that the 1O mode would be suppressed at a large mixing length in comparison with the FU mode, which may be understood because the 1O mode occurs in relatively shallower layer and would be influenced more by the envelop convection. Although this model is for Cepheids, it should be applicable to RSGs since RSGs have even stronger convection due to lower effective temperature. Furthermore, Chun et al. (2018) found that the mixing length increases with metallicity for RSGs. This may be caused by that the high metallicity leads to less effective radiative transfer due to higher opacity, and consequently stronger convection is needed. Combining the two theories — the 1O mode would be suppressed at large mixing length and the mixing length increases with metallicity, we can expect that the 1O mode pulsation occurs less frequently at high metallicity. Specifically, the 1O mode pulsators should be the least frequent and thus largest FU/(FU+1O) in M31 with the highest metallicity.

7 Summary and Conclusion

The study is based on a relatively complete and pure sample of RSGs in M33 and M31. From the preliminary samples of RSGs (749 in M33 and 437 in M31) which were selected by the visual colors with the LGGS multiband photometry, foreground dwarf and giant stars (2 in M33 and 5 in M31) are further excluded according to their distance modulus from the GAIA/DR2 catalog. The pollution of AGB stars in the local galaxy is carefully checked by the locations in several CMDs, which found almost no contamination by AGB stars while the dust emission has the significant influence on the flux in the mid-infrared bands such as the Spitzer/[8.0] and [24] bands. Consequently, we find that there are 717 RSGs in M33 and 420 RSGs in M31 which form the basis to analyze the variation of RSGs.

The variation is analyzed with the time-series data taken by the iPTF survey, spanning about 2000 days. From the CCD images, the differential photometry is performed to all the RSGs with the Sextractor tool by making the average of all RSGs as the reference star, which achieves an accuracy of about 0.04 mag. The light curve is then fitted by the PDM, GLS, DFT and WWZ methods, and a period is considered to be real only when it is identified by at least two methods for RSGs with semi-regular variation. Based on the characteristics of lightcurves, RSGs are classified into semi-regular variables, variables with LSP, irregular variables and others. In total, 84 RSGs in M33 and 56 RSGs in M31 are found to show semi-regular variation, in which, 19 stars in M33 and 7 stars in M31 are identified in first overtone mode, and excluded for P-L analysis. 65 RSGs in M33 and 49 RSGs in M31 are taken to analyze the P-L relation in visual, near-infrared and mid-infrared bands.

The P-L relation exists in all the infrared bands. In particular, the relation is very tight in the 2MASS/ $JHK_{\rm S}$ bands and the Spitzer/IRAC1-3 bands. In the Spitzer/IRAC [8.0] and Spitzer/MIPS [24] bands, the P-L relation is relatively sparse due to the emission of circumstellar dust. In the visual band, the P-L relation is not clear which can be understood by inhomogeneous extinction. When the de-reddening Wesenheit index $W_{BV}=V-R_{V}(B-V)$ is taken into account, the P-L relation shows up although it is not as tight as in the infrared bands.

The results are compared with the P-L relations of RSGs in other galaxies, i.e. SMC, LMC and the Milky Way. It is found that the P-L relation in K band in these galaxies are similar, showing no apparent dependence on the metallicity.

From the P-L relation, the pulsation mode of RSGs in the M33 and M31 is compared with the theoretical model and found to be very possibly in the fundamental pulsation mode. When compared with the SMC, LMC and Galaxy, it seems that the pulsation mode shows dependence on the metallicity. This phenomenon may be related to convection and its dependence on metallicity and deserves further investigation.

Due to the limitations of the iPTF data available at now, the LSP of RSGs cannot be determined with reasonable accuracy. We may obtain long baseline data from the combination of the iPTF data and the Panoramic Survey Telescope and Rapid Response System (Pan-STARRS) DR2 data to determine the LSP in future.

We thank Prof. Yan Li for helpful discussions. Special thanks go to the anonymous referee for his/her very helpful suggestions, which improved the paper significantly. This work is supported by NSFC through Projects 11533002 and U1631104. This work made use of the data taken by LGGS, iPTF, 2MASS and Spitzer. This work made use of PyAstronomy.

Appendix A Lightcurve of RSGs with Semi-Regular Variation in M33 and M31

Appendix B Parameters of RSGs in M33 and M31

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