Table F.1
EXOFASTv2 median values and 68% confidence interval for TOI-1468.
| Parameter | Description | Values | ||
|---|---|---|---|---|
| Stellar parameters: | ||||
| M* . . . . . . . . . . . . . . . . . . . . . . . . . . . | Mass (M⊙) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | ![]() |
||
| R* . . . . . . . . . . . . . . . . . . . . . . . . . . . . | Radius (R⊙) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | ![]() |
||
| L* . . . . . . . . . . . . . . . . . . . . . . . . . . . . | Luminosity (L⊙) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | ![]() |
||
| FBol . . . . . . . . . . . . . . . . . . . . . . . . . . | Bolometric Flux (cgs) . . . . . . . . . . . . . . . . . . . . . . . . . | × 10-10 |
||
| ρ* . . . . . . . . . . . . . . . . . . . . . . . . . . . . | Density (cgs) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | ![]() |
||
| log g . . . . . . . . . . . . . . . . . . . . . . . . . | Surface gravity (cgs) . . . . . . . . . . . . . . . . . . . . . . . . . . | 4.846 ± 0.025 | ||
| Teff . . . . . . . . . . . . . . . . . . . . . . . . . . . | Effective temperature (K) . . . . . . . . . . . . . . . . . . . . . . | ![]() |
||
| [Fe/H] . . . . . . . . . . . . . . . . . . . . . . . | Metallicity (dex) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | ![]() |
||
| KS . . . . . . . . . . . . . . . . . . . . . . . . . . . | Absolute Ks-band mag (mag) . . . . . . . . . . . . . . . . . . | ![]() |
||
| kS . . . . . . . . . . . . . . . . . . . . . . . . . . . . | Apparent Ks-band mag (mag) . . . . . . . . . . . . . . . . . . | 8.494 ± 0.020 | ||
| AV . . . . . . . . . . . . . . . . . . . . . . . . . . . | V-band extinction (mag) . . . . . . . . . . . . . . . . . . . . . . . | ![]() |
||
| σS ED . . . . . . . . . . . . . . . . . . . . . . . . . | SED photometry error scaling . . . . . . . . . . . . . . . . . | ![]() |
||
| ϖ . . . . . . . . . . . . . . . . . . . . . . . . . . . | Parallax (mas) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | ![]() |
||
| d . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | Distance (pc) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | 24.714 ± 0.046 | ||
| Planetary parameters: | b | c | ||
| P . . . . . . . . . . . . . . . . . . . . . . . . . . . . | Period (days) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | ![]() |
![]() |
|
| RP . . . . . . . . . . . . . . . . . . . . . . . . . . . | Radius (RE) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | ![]() |
![]() |
|
| MP . . . . . . . . . . . . . . . . . . . . . . . . . . . | Mass (ME) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | 3.04 ± 0.46 | 4.1 ± 1.1 | |
| TC . . . . . . . . . . . . . . . . . . . . . . . . . . . | Observed Time of conjunction((1)) (BJDTDB) . . . . . | ![]() |
2458766.9267 ± 0.0012 | |
| T0 . . . . . . . . . . . . . . . . . . . . . . . . . . . . | Obs time of min proj sep (BJDTDB) . . . . . . . . . . . . . | 2459264.01539 ± 0.00054 | ![]() |
|
| a . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | Semi-major axis (AU) . . . . . . . . . . . . . . . . . . . . . . . . . | 0.02107 ± 0.00016 | 0.08608 ± 0.00065 | |
| i . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | Inclination (Degrees) . . . . . . . . . . . . . . . . . . . . . . . . . . | ![]() |
![]() |
|
| e . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | Eccentricity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | ![]() |
![]() |
|
| ω* . . . . . . . . . . . . . . . . . . . . . . . . . . . | Arg of periastron (Degrees) . . . . . . . . . . . . . . . . . . . . | ![]() |
![]() |
|
. . . . . . . . . . . . . . . . . . . . . . . . . . |
Computed GR precession (°/century) . . . . . . . . . . . | ![]() |
![]() |
|
| Teq . . . . . . . . . . . . . . . . . . . . . . . . . . . | Equilibrium temperature((2)) (K) . . . . . . . . . . . . . . . . | ![]() |
338.1 ± 3.1 | |
| τcirc . . . . . . . . . . . . . . . . . . . . . . . . . . | Tidal circ timescale (Gyr) . . . . . . . . . . . . . . . . . . . . . | ![]() |
![]() |
|
| K . . . . . . . . . . . . . . . . . . . . . . . . . . . . | RV semi-amplitude (m/s) . . . . . . . . . . . . . . . . . . . . . . | ![]() |
![]() |
|
| RP/R* . . . . . . . . . . . . . . . . . . . . . . . . | Radius of planet in stellar radii . . . . . . . . . . . . . . . . | ![]() |
![]() |
|
| a/R* . . . . . . . . . . . . . . . . . . . . . . . . . | Semi-major axis in stellar radii . . . . . . . . . . . . . . . . | ![]() |
![]() |
|
| δ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | (RP/R*)2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | ![]() |
![]() |
|
| δTESS . . . . . . . . . . . . . . . . . . . . . . . . . | Transit depth in TESS (frac) . . . . . . . . . . . . . . . . . . . | ![]() |
![]() |
|
| τ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | In/egress transit duration (days) . . . . . . . . . . . . . . . . | ![]() |
![]() |
|
| T14 . . . . . . . . . . . . . . . . . . . . . . . . . . . | Total transit duration (days) . . . . . . . . . . . . . . . . . . . . | ![]() |
![]() |
|
| TFWHM . . . . . . . . . . . . . . . . . . . . . . . | FWHM transit duration (days) . . . . . . . . . . . . . . . . . | ![]() |
![]() |
|
| b . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | Transit impact parameter . . . . . . . . . . . . . . . . . . . . . . | ![]() |
![]() |
|
| bS . . . . . . . . . . . . . . . . . . . . . . . . . . . . | occultation impact parameter . . . . . . . . . . . . . . . . . . | ![]() |
![]() |
|
| τS . . . . . . . . . . . . . . . . . . . . . . . . . . . . | In/egress occultation duration (days) . . . . . . . . . . . . | ![]() |
![]() |
|
| TS,14 . . . . . . . . . . . . . . . . . . . . . . . . . . | Total occultation duration (days) . . . . . . . . . . . . . . . | ![]() |
![]() |
|
| TS,FWHM . . . . . . . . . . . . . . . . . . . . . . | FWHM occultation duration (days) . . . . . . . . . . . . . | ![]() |
![]() |
|
| ρP . . . . . . . . . . . . . . . . . . . . . . . . . . . . | Density (cgs) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | ![]() |
![]() |
|
| loggP . . . . . . . . . . . . . . . . . . . . . . . . . | Surface gravity (cgs) . . . . . . . . . . . . . . . . . . . . . . . . . . | ![]() |
![]() |
|
| Θ . . . . . . . . . . . . . . . . . . . . . . . . . . . . | Safronov Number . . . . . . . . . . . . . . . . . . . . . . . . . . . . | ![]() |
![]() |
|
| ⟨F⟩ . . . . . . . . . . . . . . . . . . . . . . . . . . . | Incident Flux (109 erg s−1 cm−2) . . . . . . . . . . . . . . . . | 0.0495 ± 0.0018 | ![]() |
|
| TS . . . . . . . . . . . . . . . . . . . . . . . . . . . | Observed Time of occultation (BJDTDB) . . . . . . . . . | ![]() |
![]() |
|
| e cos ω* . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | ![]() |
![]() |
||
| e sin ω* . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | ![]() |
![]() |
||
| MP sin i . . . . . . . . . . . . . . . . . . . . . . . . | Minimum mass (ME) . . . . . . . . . . . . . . . . . . . . . . . . . | 3.04 ± 0.46 | 4.1 ± 1.1 | |
| MP/M* . . . . . . . . . . . . . . . . . . . . . . . . . | Mass ratio . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | 2.59 ± 0.39 × 10−5 | × 10−5 |
|
| d/R* . . . . . . . . . . . . . . . . . . . . . . . . . . . | Separation at mid transit . . . . . . . . . . . . . . . . . . . . . . | ![]() |
![]() |
|
| PT . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | A priori non-grazing transit prob . . . . . . . . . . . . . . . | ![]() |
![]() |
|
| PT,G . . . . . . . . . . . . . . . . . . . . . . . . . . . . | A priori transit prob . . . . . . . . . . . . . . . . . . . . . . . . . . | ![]() |
![]() |
|
| PS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | A priori non-grazing occultation prob . . . . . . . . . . | ![]() |
![]() |
|
| PS,G . . . . . . . . . . . . . . . . . . . . . . . . . . . . | A priori occultation prob . . . . . . . . . . . . . . . . . . . . . . | ![]() |
![]() |
|
| Wavelength parameters: | JWST | TESS | ||
| u1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | Linear limb-darkening coeff . . . . . . . . . . . . . . . . . . . | - | ![]() |
|
| u2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | Quadratic limb-darkening coeff . . . . . . . . . . . . . . . . | - | ![]() |
|
| AT . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | Thermal emission from the planet (ppm) . . . . . . . . | 298 ± 28 | - | |
| δS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | Measured occultation depth (ppm) . . . . . . . . . . . . . . | 298 ± 28 | - | |
| Telescope parameters: | CARMENES | MAROONXblueMAROONXred | ||
| γrel . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | Relative RV Offset (m/s) . . . . . . . . . . . . . . . . . . . . . . | −0.32 ± 0.45 | ![]() |
![]() |
| σJ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | RV Jitter (m/s) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | ![]() |
![]() |
![]() |
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . |
RV Jitter Variance . . . . . . . . . . . . . . . . . . . . . . . . . . . . | ![]() |
![]() |
![]() |
| Transit parameters: | JWST | TESS Sector 17 | ||
| σ2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | Added Variance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | × 10−7 |
−7.0 ± 4.4 × 10−8 | |
| F0 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | Baseline flux . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | 0.999706 ± 0.000049 | 1.000026 ± 0.000017 | |
| Transit parameters (continued): | TESS Sector 42 and 43 | TESS Sector 57 | ||
| σ2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | Added Variance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | −8.6 ± 2.8 × 10−8 | −8.4 ± 3.4 × 10−8 | |
| F0 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | Baseline flux . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | 1.000001 ± 0.000011 | ![]() |
|
Notes. See Table 3 in Eastman et al. (2019) for a detailed description of all parameters. (1)Time of conjunction is commonly reported as the “mid-transit time”. (2)Assumes zero Bond albedo and perfect redistribution.
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![$\[0.3527_{-0.0079}^{+0.0081}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq32.png)
![$\[0.3714_{-0.010}^{+0.0100}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq33.png)
![$\[0.01614_{-0.00052}^{+0.00054}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq34.png)
![$\[8.45_{-0.27}^{+0.28} \times 10^{-10}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq35.png)
![$\[9.70_{-0.76}^{+0.85}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq36.png)
![$\[3376_{-44}^{+45}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq37.png)
![$\[-0.01_{-0.22}^{+0.21}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq38.png)
![$\[6.530_{-0.021}^{+0.020}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq39.png)
![$\[0.051_{-0.036}^{+0.046}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq40.png)
![$\[2.25_{-0.54}^{+0.85}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq41.png)
![$\[40.462_{-0.075}^{+0.076}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq42.png)
![$\[1.8805201_{-0.0000030}^{+0.0000025}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq43.png)
![$\[15.532477_{-0.000026}^{+0.000025}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq44.png)
![$\[1.401_{-0.060}^{+0.059}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq45.png)
![$\[2.126_{-0.093}^{+0.092}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq46.png)
![$\[2458765.67755_{-0.00081}^{+0.00097}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq47.png)
![$\[2459419.29076_{-0.00061}^{+0.00058}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq48.png)
![$\[87.82_{-0.34}^{+0.42}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq49.png)
![$\[89.220_{-0.062}^{+0.14}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq50.png)
![$\[0.0099_{-0.0050}^{+0.018}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq51.png)
![$\[0.111_{-0.084}^{+0.15}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq52.png)
![$\[-170_{-82}^{+69}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq53.png)
![$\[130_{-73}^{+100}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq54.png)
![$\[\dot{\omega}_{\mathrm{GR}}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq55.png)
![$\[3.468_{-0.052}^{+0.053}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq56.png)
![$\[0.1046_{-0.0024}^{+0.0059}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq57.png)
![$\[683.5_{-6.2}^{+6.3}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq58.png)
![$\[7.3_{-1.7}^{+2.2}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq59.png)
![$\[8600_{-4000}^{+4300}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq60.png)
![$\[3.16_{-0.47}^{+0.48}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq61.png)
![$\[2.12_{-0.58}^{+0.57}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq62.png)
![$\[0.03461_{-0.00100}^{+0.00092}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq63.png)
![$\[0.0526_{-0.0017}^{+0.0015}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq64.png)
![$\[12.20_{-0.33}^{+0.35}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq65.png)
![$\[49.8_{-1.3}^{+1.4}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq66.png)
![$\[0.001198_{-0.000068}^{+0.000065}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq67.png)
![$\[0.00276_{-0.00018}^{+0.00016}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq68.png)
![$\[0.00133_{-0.00011}^{+0.00018}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq69.png)
![$\[0.00291_{-0.00019}^{+0.00025}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq70.png)
![$\[0.00193_{-0.00015}^{+0.00016}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq71.png)
![$\[0.0067_{-0.0022}^{+0.0015}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq72.png)
![$\[0.0454_{-0.0011}^{+0.0016}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq73.png)
![$\[0.0775_{-0.0021}^{+0.0020}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq74.png)
![$\[0.0435_{-0.0012}^{+0.0017}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq75.png)
![$\[0.0708_{-0.0017}^{+0.0018}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq76.png)
![$\[0.465_{-0.081}^{+0.061}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq77.png)
![$\[0.664_{-0.22}^{+0.069}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq78.png)
![$\[0.464_{-0.082}^{+0.061}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq79.png)
![$\[0.686_{-0.094}^{+0.057}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq80.png)
![$\[0.00192_{-0.00016}^{+0.00017}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq81.png)
![$\[0.00743_{-0.00098}^{+0.0012}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq82.png)
![$\[0.0454_{-0.0012}^{+0.0014}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq83.png)
![$\[0.0791_{-0.0027}^{+0.017}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq84.png)
![$\[0.0434_{-0.0012}^{+0.0015}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq85.png)
![$\[0.0715_{-0.0025}^{+0.017}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq86.png)
![$\[6.1_{-1.1}^{+1.3}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq87.png)
![$\[2.31_{-0.66}^{+0.72}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq88.png)
![$\[3.181_{-0.080}^{+0.074}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq89.png)
![$\[2.94_{-0.14}^{+0.11}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq90.png)
![$\[0.0091_{-0.0014}^{+0.0015}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq91.png)
![$\[0.0329_{-0.0090}^{+0.0089}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq92.png)
![$\[0.00290_{-0.00016}^{+0.00013}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq93.png)
![$\[2458766.6124_{-0.0022}^{+0.0026}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq94.png)
![$\[2458774.52_{-1.3}^{+0.53}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq95.png)
![$\[-0.0044_{-0.0013}^{+0.0017}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq96.png)
![$\[-0.018_{-0.13}^{+0.053}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq97.png)
![$\[-0.001_{-0.017}^{+0.014}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq98.png)
![$\[0.032_{-0.073}^{+0.17}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq99.png)
![$\[3.47_{-0.95}^{+0.93}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq100.png)
![$\[12.22_{-0.40}^{+0.42}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq101.png)
![$\[47.7_{-9.0}^{+4.4}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq102.png)
![$\[0.0790_{-0.0026}^{+0.0027}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq103.png)
![$\[0.0199_{-0.0017}^{+0.0046}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq104.png)
![$\[0.0847_{-0.0028}^{+0.0029}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq105.png)
![$\[0.0221_{-0.0018}^{+0.0051}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq106.png)
![$\[0.0792_{-0.0026}^{+0.0027}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq107.png)
![$\[0.0185_{-0.0022}^{+0.0016}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq108.png)
![$\[0.0849_{-0.0028}^{+0.0029}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq109.png)
![$\[0.0205_{-0.0025}^{+0.0018}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq110.png)
![$\[0.24_{-0.17}^{+0.26}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq111.png)
![$\[0.23_{-0.31}^{+0.32}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq112.png)
![$\[0.19_{-0.86}^{+0.88}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq113.png)
![$\[-0.40_{-0.69}^{+0.68}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq114.png)
![$\[2.92_{-0.39}^{+0.44}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq115.png)
![$\[2.92_{-0.77}^{+0.99}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq116.png)
![$\[2.50_{-0.54}^{+0.74}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq117.png)
![$\[\sigma_{J}^{2}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq118.png)
![$\[8.5_{-2.1}^{+2.7}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq119.png)
![$\[8.5_{-3.9}^{+6.8}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq120.png)
![$\[6.2_{-2.4}^{+4.2}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq121.png)
![$\[1.47_{-0.14}^{+0.15}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq122.png)
![$\[1.000001_{-0.000013}^{+0.000014}\]$](/articles/aa/full_html/2025/06/aa53449-24/aa53449-24-eq123.png)