Kepler-1893 Overview

Kepler-1893 1.23 R⦿ 5420.00 K
KOI-3019.02
Kepler-1893 b
0.152 RJup
Architecture
Kepler-1893
Kepler-1893
KOI-3019.02
Kepler-1893 b
Discovery Data
Host Planet Orbital Separation Planet Size Method Year Reference Disposition
Kepler-1893 KOI-3019.02 2.01 d --- Transit 2015 Q1-Q17 DR24 KOI Table Candidate Planet
Kepler-1893 Kepler-1893 b 4.18 d 1.71 R Transit 2021 Valizadegan et al. 2022 Confirmed Planet
RA
19h53m36.31s
Dec
+44d50m17.42s
Distance
1050.72+27.41-26.07
pc
Parallax
0.9235660±0.0240206 mas
Ecliptic Latitude
63.5132 deg
Ecliptic Longitude
319.13057 deg
Galactic Latitude
8.76729 deg
Galactic Longitude
79.2028 deg
Total Proper Motion
9.8325049±0.0462319 mas/yr
Proper Motion (RA)
-9.486651±0.046210 mas/yr
Proper Motion (Dec)
-2.584880±0.046526 mas/yr
Photometry
mV
15.152±0.114
mTESS
14.3347±0.0104
mJ
13.586±0.022
mH
13.206±0.021
mKs
13.104±0.029
mKep
14.927
mW1
13.097±0.024
mW2
13.158±0.027
mW3
12.431
mW4
9.254
mGaia
14.896400±0.000277
mB
16.193±0.142
mg
15.551
mi
14.659
mr
14.876
mz
14.544
Source TICv8 Latham et al. 2005 Q1-Q17 DR25 Supplemental KOI Table Q1-Q17 DR25 Supplemental KOI Table Q1-Q17 DR25 KOI Table Q1-Q17 DR25 KOI Table Q1-Q17 DR24 KOI Table Q1-Q17 DR24 KOI Table Q1-Q16 KOI Table Q1-Q12 KOI Table Q1-Q8 KOI Table Show Candidate Solutions >> << Hide Candidate Solutions
Teff
(K)
5720.0±122.0 5420 --- --- 5633±76 5633±76
5632 +167-152
5632 +167-152
5632 +167-152
5632.00 +167.00-152.00
5570.00±110.00
Metallicity
(dex)
--- 0.055 [Fe/H] --- --- 0.16±0.15 [Fe/H] 0.16±0.15 [Fe/H]
0.060 +0.220-0.260
[Fe/H]
0.060 +0.220-0.260
[Fe/H]
0.060 +0.220-0.260
[Fe/H]
0.060 +0.220-0.260
[Fe/H]
---
R
(R⦿)
1.22399 1.231 --- --- 1.162±0.179 1.162±0.179
1.155 +0.411-0.221
1.155 +0.411-0.221
1.155 +0.411-0.221
1.1550 +0.4110-0.2210
1.0600±0.3900
log g
(log10(cm/s2))
4.27111 4.28 --- ---
4.296 +0.15-0.113
4.296 +0.15-0.113
4.284±0.178
4.284 +0.178-0.223
4.284 +0.178-0.223
4.284 +0.178-0.223
4.320±0.300
L
(log10(L⦿))
0.1598369 --- --- --- --- --- --- --- --- --- ---
ρ
(g/cm3)
0.7842032 --- --- ---
1.73802 +0.01861-1.70700
1.69464 +0.86809-0.45354
1.20517 +0.86708-1.18680
1.71548 +0.88399-0.46189
1.71548 +0.88399-0.46189
1.71548 +0.88399-0.46189
---
M
(M⦿)
1.02 --- --- ---
0.973 +0.068-0.056
0.973 +0.068-0.056
0.934 +0.125-0.072
0.934 +0.125-0.072
0.934 +0.125-0.072
0.9340 +0.1250-0.0720
0.8590±0.0710
Age
(Gyr)
--- --- --- --- --- --- --- --- --- --- 13.9±3.2
Source Valizadegan et al. 2022 Q1-Q17 DR25 Supplemental KOI Table Q1-Q17 DR25 KOI Table Q1-Q17 DR24 KOI Table Q1-Q16 KOI Table Q1-Q12 KOI Table Q1-Q8 KOI Table Show Candidate Solutions >> << Hide Candidate Solutions
P
(days)
4.179369926 4.17939037±2.877e-05 4.17939037±2.877e-05 4.17938195±2.997e-05 4.17938195±2.997e-05 4.17938195±2.997e-05 4.179393±2.6e-05
TC
(days)
--- 2454966.848±0.0049
(BJD)
2454966.848±0.0049
(BJD)
2454966.85±0.00517
(BJD)
2454966.85±0.00517
(BJD)
2454966.85±0.00517
(BJD)
2454966.8469±0.0044
(BJD)
a/R
--- --- 11.61±3 11.66±3 11.66±3 11.66±3 11±5.3
Teq
(K)
--- --- 1194 1198 1198 1198 1152
b
--- ---
0.317 +0.144-0.317
0.3703 +0.0932-0.3703
0.3703 +0.0932-0.3703
0.3703 +0.0932-0.3703
0.49±0.81
S
(S)
--- ---
478.98 +194.07-154.33
486.31 +518.52-201.27
486.31 +518.52-201.27
486.31 +518.52-201.27
---
e
--- --- 0 0 0 0 0
i
(deg)
--- --- 88.44 88.24 88.24 88.24 87.66
Rp
(R)
1.705574454 ---
1.52 +0.24-0.23
1.6 +0.57-0.3
1.6 +0.57-0.3
1.6 +0.57-0.3
1.53±0.81
Rp
(RJup)
0.1521614230 ---
0.136+0.021-0.021
0.143+0.051-0.027
0.143+0.051-0.027
0.143+0.051-0.027
0.136+0.072-0.072
Rp/R
--- ---
0.012013 +0.000654-0.000478
0.012702 +0.000495-0.00071
0.012702 +0.000495-0.00071
0.012702 +0.000495-0.00071
0.0132±0.005
a
(au)
--- --- .0504 .0497 .0497 .0497 .048
δ
(%)
--- --- 0.01728±0.00122 0.01910±0.00139 0.01910±0.00139 0.01910±0.00139 0.02050
T14
(hours)
--- --- 2.647±0.132 2.586±0.141 2.586±0.141 2.586±0.141 2.594
Status
Candidate Planet
Detected By
Transit
Source Q1-Q17 DR25 Supplemental KOI Table Q1-Q17 DR25 KOI Table Q1-Q17 DR24 KOI Table
P
(days)
2.012094±1.945e-05 2.012094±1.945e-05 2.01209338±2.216e-05
TC
(days)
2454964.569±0.00726 2454964.569±0.00726 2454964.565±0.00988
a/R
--- 7.1917±0.077 6.37±2.3
Teq
(K)
--- 1523 1529
b
---
0.066 +0.381-0.066
0.3141 +0.1449-0.3141
S
(S)
---
1274.27 +516.29-410.58
1291.29 +1376.82-534.42
e
--- 0 0
i
(deg)
--- 89.47 87.09
Rp
(R)
---
0.99 +0.16-0.15
0.95 +0.33-0.18
Rp
(RJup)
---
0.088+0.014-0.013
0.085+0.029-0.016
Rp/R
---
0.00782 +0.000499-0.000707
0.007507 +0.000788-0.000538
a
(au)
--- .0309 .0305
δ
(%)
--- 0.00748±0.00095 0.00673±0.00106
T14
(hours)
--- 2.157±0.257 2.323±0.321
Kepler Detection Products (4 File Types, 17 Files)
Kepler Detection Products
Kepler Pipeline Data Validation Summaries q1_q17_dr24_tce q1_q17_dr25_tce
Kepler Detection Products
Kepler Pipeline Data Validation Summaries q1_q12_tce q1_q16_tce q1_q17_dr24_tce q1_q17_dr25_tce
Kepler Object of Interest
KepID 8709688 8709688 8709688
KOI Name K03019.02 K03019.02 K03019.02
Exoplanet Archive Disposition CANDIDATE CANDIDATE FALSE POSITIVE
Vetting Status Done Done Done
Date of Last Parameter Update 2018-08-16 2017-08-31 2015-09-24
Disposition Using Kepler Data CANDIDATE CANDIDATE FALSE POSITIVE
Not Transit-Like False Positive Flag 0 0 1
Stellar Eclipse False Positive Flag 0 0 0
Centroid Offset False Positive Flag 0 0 0
Ephemeris Match Indicates Contamination False Positive Flag 0 0 0
Disposition Provenance q1_q17_dr25_sup_koi q1_q17_dr25_koi q1_q17_dr24_koi
Orbital Period [days] 2.012094±1.945e-05 2.012094±1.945e-05 2.01209338±2.216e-05
Transit Epoch [BKJD] 131.5688±0.00726 131.5688±0.00726 131.56488±0.00988
Transit Epoch [BJD] 2454964.569±0.00726 2454964.569±0.00726 2454964.565±0.00988
Parameters Provenance q1_q17_dr25_sup_koi q1_q17_dr25_koi q1_q17_dr24_koi
Number of Planets 2 2 2
TCE Delivery q1_q17_dr25_tce q1_q17_dr25_tce q1_q17_dr24_tce
Link to DV Report kplr008709688-20160209194854_dvr.pdf kplr008709688-20160209194854_dvr.pdf kplr008709688-20141002224145_dvr.pdf
RA [decimal degrees] 298.40137 298.40137 298.40137
Dec [decimal degrees] 44.838181 44.838181 44.838181
Kepler-band [mag] 14.927000000000001 14.927000000000001 14.927000000000001
g'-band [mag] 15.551 15.551 15.551
r'-band [mag] 14.876000000000001 14.876000000000001 14.876000000000001
i'-band [mag] 14.659 14.659 14.659
z'-band [mag] 14.544 14.544 14.544
J-band [mag] 13.586 13.586 13.586
H-band [mag] 13.206000000000001 13.206000000000001 13.206000000000001
K-band [mag] 13.104000000000001 13.104000000000001 13.104000000000001
Disposition Score --- 0.935 ---
Comment --- NO_COMMENT LPP_ALT_TOO_HIGH
Eccentricity --- 0 0
Impact Parameter ---
0.066 +0.381-0.066
0.3141 +0.1449-0.3141
Transit Duration [hrs] --- 2.157±0.257 2.323±0.321
Transit Depth [ppm] --- 74.8±9.5 67.3±10.6
Planet-Star Radius Ratio ---
0.00782 +0.000499-0.000707
0.007507 +0.000788-0.000538
Fitted Stellar Density [g/cm**3] ---
1.73802 +0.01861-1.70700
1.20517 +0.86708-1.18680
Planetary Fit Type --- LS+MCMC MCMC
Planetary Radius [Earth radii] ---
0.99 +0.16-0.15
0.95 +0.33-0.18
Orbit Semi-Major Axis [au] --- .0309 .0305
Inclination [deg] --- 89.47 87.09
Equilibrium Temperature [K] --- 1523 1529
Insolation Flux [Earth flux] ---
1274.27 +516.29-410.58
1291.29 +1376.82-534.42
Planet-Star Distance over Star Radius --- 7.1917±0.077 6.37±2.3
Limb Darkening Model --- Claret (2011 A&A 529 75) ATLAS LS Claret (2011 A&A 529 75) ATLAS LS
Limb Darkening Coeff. 4 --- 0.0 0.0
Limb Darkening Coeff. 3 --- 0.0 0.0
Limb Darkening Coeff. 2 --- 0.2555 0.24830000000000002
Limb Darkening Coeff. 1 --- 0.41910000000000003 0.4284
Maximum Single Event Statistic --- 3.4261353 3.7194388
Maximum Multiple Event Statistic --- 7.517123 8.365336
Transit Signal-to-Noise --- 9.1 8.8
Number of Transits --- 632 632
TCE Planet Number --- 2 2
Quarters --- 11111111111111111000000000000000 11111111111111111000000000000000
Odd-Even Depth Comparision Statistic --- 0.31570000000000004 ---
Transit Model --- Mandel and Agol (2002 ApJ 580 171) Mandel and Agol (2002 ApJ 580 171)
Link to DV Summary --- kplr008709688-002-20160209194854_dvs.pdf kplr008709688-002-20141002224145_dvs.pdf
Stellar Effective Temperature [K] --- 5633±76
5632 +167-152
Stellar Surface Gravity [log10(cm/s**2)] ---
4.296 +0.15-0.113
4.284±0.178
Stellar Metallicity [dex] --- 0.16±0.15
0.060 +0.220-0.260
Stellar Radius [Solar radii] --- 1.162±0.179
1.155 +0.411-0.221
Stellar Mass [Solar mass] ---
0.973 +0.068-0.056
0.934 +0.125-0.072
Stellar Parameter Provenance --- q1_q17_dr25_stellar stellar_q1_q17
FW Offset Significance [percent] --- 0.003 0.016
FW Source α(OOT) [hrs] --- 19.893413±0.000039 19.893409±0.000037
FW Source δ(OOT) [deg] --- 44.83898±0.00042 44.83881±0.0004
FW Source Δα(OOT) [sec] --- -0.4±1.5 -0.6±1.4
FW Source Δδ(OOT) [arcsec] --- 2.9±1.5 2.3±1.4
FW Δα(OOT) [sec] --- 1e-05±0.00011 2e-05±0.00011
FW Δδ(OOT) [arcsec] --- -0.00022±0.00012 -0.00019±0.00011
PRF ΔαSQ(OOT) [arcsec] --- 0.3±1.6 0.51±0.57
PRF ΔδSQ(OOT) [arcsec] --- 0.3±1.1 0.15±0.81
PRF ΔθSQ(OOT) [arcsec] --- 0.4±1.4 0.54±0.7
PRF ΔαSQ(KIC) [arcsec] --- 0.2±1.6 0.44±0.64
PRF ΔδSQ(KIC) [arcsec] --- 0.1±1.1 0.15±0.66
PRF ΔθSQ(KIC) [arcsec] --- 0.3±1.5 0.47±0.64
KepID 8709688 8709688 8709688 8709688 8709688 8709688
KOI Name K03019.01 K03019.01 K03019.01 K03019.01 K03019.01 K03019.01
Kepler Name Kepler-1893 b Kepler-1893 b Kepler-1893 b Kepler-1893 b Kepler-1893 b Kepler-1893 b
Exoplanet Archive Disposition CONFIRMED CONFIRMED CONFIRMED CONFIRMED CONFIRMED CONFIRMED
Vetting Status Done Done Done Done Done Done
Date of Last Parameter Update 2018-08-16 2017-08-31 2015-09-24 2014-12-18 2014-12-04 2014-01-07
Disposition Using Kepler Data CANDIDATE CANDIDATE CANDIDATE NOT DISPOSITIONED NOT DISPOSITIONED CANDIDATE
Not Transit-Like False Positive Flag 0 0 0 0 0 ---
Stellar Eclipse False Positive Flag 0 0 0 0 0 ---
Centroid Offset False Positive Flag 0 0 0 0 0 ---
Ephemeris Match Indicates Contamination False Positive Flag 0 0 0 0 0 ---
Disposition Provenance q1_q17_dr25_sup_koi q1_q17_dr25_koi q1_q17_dr24_koi q1_q16_koi q1_q12_koi q1_q8_koi
Orbital Period [days] 4.17939037±2.877e-05 4.17939037±2.877e-05 4.17938195±2.997e-05 4.17938195±2.997e-05 4.17938195±2.997e-05 4.179393±2.6e-05
Transit Epoch [BKJD] 133.84818±0.0049 133.84818±0.0049 133.8499±0.00517 133.8499±0.00517 133.8499±0.00517 133.8469±0.0044
Transit Epoch [BJD] 2454966.848±0.0049 2454966.848±0.0049 2454966.85±0.00517 2454966.85±0.00517 2454966.85±0.00517 2454966.8469±0.0044
Parameters Provenance q1_q17_dr25_sup_koi q1_q17_dr25_koi q1_q17_dr24_koi q1_q16_koi q1_q12_koi q1_q8_koi
Number of Planets 2 2 2 1 1 1
TCE Delivery q1_q17_dr25_tce q1_q17_dr25_tce q1_q17_dr24_tce q1_q16_tce q1_q12_tce ---
Link to DV Report kplr008709688-20160209194854_dvr.pdf kplr008709688-20160209194854_dvr.pdf kplr008709688-20141002224145_dvr.pdf kplr008709688-20130815195353_dvr.pdf kplr008709688-20121029204534_dvr.pdf ---
RA [decimal degrees] 298.40137 298.40137 298.40137 298.40137 298.40137 298.40137
Dec [decimal degrees] 44.838181 44.838181 44.838181 44.838181 44.838181 44.838181
Kepler-band [mag] 14.927000000000001 14.927000000000001 14.927000000000001 14.927000000000001 14.927000000000001 14.927000000000001
g'-band [mag] 15.551 15.551 15.551 15.551 15.551 15.551
r'-band [mag] 14.876000000000001 14.876000000000001 14.876000000000001 14.876000000000001 14.876000000000001 14.876000000000001
i'-band [mag] 14.659 14.659 14.659 14.659 14.659 14.659
z'-band [mag] 14.544 14.544 14.544 14.544 14.544 14.544
J-band [mag] 13.586 13.586 13.586 13.586 13.586 13.586
H-band [mag] 13.206000000000001 13.206000000000001 13.206000000000001 13.206000000000001 13.206000000000001 13.206000000000001
K-band [mag] 13.104000000000001 13.104000000000001 13.104000000000001 13.104000000000001 13.104000000000001 13.104000000000001
Disposition Score --- 0.9630000000000001 --- --- --- ---
Comment --- NO_COMMENT --- --- --- ---
Eccentricity --- 0 0 0 0 0
Impact Parameter ---
0.317 +0.144-0.317
0.3703 +0.0932-0.3703
0.3703 +0.0932-0.3703
0.3703 +0.0932-0.3703
0.49±0.81
Transit Duration [hrs] --- 2.647±0.132 2.586±0.141 2.586±0.141 2.586±0.141 2.594
Transit Depth [ppm] --- 172.8±12.2 191±13.9 191±13.9 191±13.9 205
Planet-Star Radius Ratio ---
0.012013 +0.000654-0.000478
0.012702 +0.000495-0.00071
0.012702 +0.000495-0.00071
0.012702 +0.000495-0.00071
0.0132±0.005
Fitted Stellar Density [g/cm**3] ---
1.69464 +0.86809-0.45354
1.71548 +0.88399-0.46189
1.71548 +0.88399-0.46189
1.71548 +0.88399-0.46189
---
Planetary Fit Type --- LS+MCMC MCMC MCMC MCMC ---
Planetary Radius [Earth radii] ---
1.52 +0.24-0.23
1.6 +0.57-0.3
1.6 +0.57-0.3
1.6 +0.57-0.3
1.53±0.81
Orbit Semi-Major Axis [au] --- .0504 .0497 .0497 .0497 .048
Inclination [deg] --- 88.44 88.24 88.24 88.24 87.66
Equilibrium Temperature [K] --- 1194 1198 1198 1198 1152
Insolation Flux [Earth flux] ---
478.98 +194.07-154.33
486.31 +518.52-201.27
486.31 +518.52-201.27
486.31 +518.52-201.27
---
Planet-Star Distance over Star Radius --- 11.61±3 11.66±3 11.66±3 11.66±3 11±5.3
Limb Darkening Model --- Claret (2011 A&A 529 75) ATLAS LS Claret (2011 A&A 529 75) ATLAS LS Claret (2011 A&A 529 75) ATLAS LS Claret (2011 A&A 529 75) ATLAS LS Claret (2011 A&A 529 75) ATLAS LS
Limb Darkening Coeff. 4 --- 0.0 0.0 0.0 0.0 -0.33590000000000003
Limb Darkening Coeff. 3 --- 0.0 0.0 0.0 0.0 0.6032000000000001
Limb Darkening Coeff. 2 --- 0.2555 0.24830000000000002 0.24830000000000002 0.24830000000000002 -0.012
Limb Darkening Coeff. 1 --- 0.41910000000000003 0.4284 0.4284 0.4284 0.5021
Maximum Single Event Statistic --- 3.3234406 6.000458999999999 --- --- ---
Maximum Multiple Event Statistic --- 13.931227999999999 14.437788 --- --- ---
Transit Signal-to-Noise --- 16.1 15.200000000000001 15.200000000000001 15.200000000000001 19.0
Number of Transits --- 319 319 --- --- ---
TCE Planet Number --- 1 1 1 1 ---
Quarters --- 11111111111111111000000000000000 11111111111111111000000000000000 --- --- ---
Odd-Even Depth Comparision Statistic --- 0.8076 --- --- --- ---
Transit Model --- Mandel and Agol (2002 ApJ 580 171) Mandel and Agol (2002 ApJ 580 171) Mandel and Agol (2002 ApJ 580 171) Mandel and Agol (2002 ApJ 580 171) Mandel and Agol (2002 ApJ 580 171)
Link to DV Summary --- kplr008709688-001-20160209194854_dvs.pdf kplr008709688-001-20141002224145_dvs.pdf kplr008709688-001-20130826182306_dvs.pdf kplr008709688-001-20121115231752_dvs.pdf ---
Stellar Effective Temperature [K] --- 5633±76
5632 +167-152
5632 +167-152
5632.00 +167.00-152.00
5570.00±110.00
Stellar Surface Gravity [log10(cm/s**2)] ---
4.296 +0.15-0.113
4.284 +0.178-0.223
4.284 +0.178-0.223
4.284 +0.178-0.223
4.320±0.300
Stellar Metallicity [dex] --- 0.16±0.15
0.060 +0.220-0.260
0.060 +0.220-0.260
0.060 +0.220-0.260
---
Stellar Radius [Solar radii] --- 1.162±0.179
1.155 +0.411-0.221
1.155 +0.411-0.221
1.1550 +0.4110-0.2210
1.0600±0.3900
Stellar Mass [Solar mass] ---
0.973 +0.068-0.056
0.934 +0.125-0.072
0.934 +0.125-0.072
0.9340 +0.1250-0.0720
0.8590±0.0710
Stellar Parameter Provenance --- q1_q17_dr25_stellar stellar_q1_q16 stellar_q1_q16 stellar_q1_q16 Pinsonneault
FW Offset Significance [percent] --- 0.0 0.0 0.0 0.0 0.0
FW Source α(OOT) [hrs] --- 19.89344±0.000023 19.893447±0.000023 19.893421±0.000021 19.893428000±0.000025000 19.893425000±0.000027000
FW Source δ(OOT) [deg] --- 44.83747±0.00025 44.83767±0.00025 44.83751±0.00022 44.83744000±0.00027000 44.83736000±0.00030000
FW Source Δα(OOT) [sec] --- 0.61±0.9 0.89±0.89 -0.1±0.81 0.04300±0.08900 0.02900±0.09600
FW Source Δδ(OOT) [arcsec] --- -2.57±0.91 -1.84±0.89 -2.41±0.81 -0.17600±0.06500 -0.19400±0.07300
FW Δα(OOT) [sec] --- -0.00015±0.00015 -0.0002±0.00015 -4e-05±0.00016 -9e-06±1.8e-05 -6e-06±1.2e-05
FW Δδ(OOT) [arcsec] --- 0.00042±0.00015 0.00031±0.00015 0.00046±0.00016 3.5e-05±1.3e-05 4.2e-05±3.7e-05
PRF ΔαSQ(OOT) [arcsec] --- 0.38±0.61 0.17±0.48 0.48±0.3 0.5300±0.2700 0.5700±0.3500
PRF ΔδSQ(OOT) [arcsec] --- -0.03±0.53 -0.04±0.36 -0.25±0.41 -0.3400±0.3400 0.1000±0.4600
PRF ΔθSQ(OOT) [arcsec] --- 0.38±0.64 0.17±0.47 0.54±0.35 0.6300±0.2900 0.5800±0.3500
PRF ΔαSQ(KIC) [arcsec] --- 0.33±0.59 0.14±0.46 0.46±0.31 0.5400±0.2800 0.4800±0.3700
PRF ΔδSQ(KIC) [arcsec] --- -0.04±0.5 -0.03±0.37 -0.22±0.4 -0.3200±0.3200 0.1300±0.4600
PRF ΔθSQ(KIC) [arcsec] --- 0.33±0.62 0.14±0.46 0.51±0.35 0.6300±0.2900 0.5000±0.3800
Chi-Square --- --- --- --- --- 1.1400000000000001
Stellar Age [Gyr] --- --- --- --- --- 13.9±3.2
Known Objects
1 Confirmed Planets
2 Kepler Objects of Interest (KOIs)
2 Threshold Crossing Events (TCEs)
7 2MASS Point Source Catalog
Data Files
1 Kepler Time Series
1 SuperWASP Time Series
1 Associated Literature Data
System
Star
Confirmed
Candidate
False Positive Planet
Controversial
False Positive
Aliases
Data Access
Transit Prediction Service
Time Series
Kepler | K2
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