J/AJ/169/30 Spectra of AF Lep b using SPHERE & GRAVITY from VLT (Balmer+, 2025)
VLTI/GRAVITY observations of AF Lep b: Preference for circular orbits, cloudy
atmospheres, and a moderately enhanced metallicity.
Balmer W.O., Franson K., Chomez A., Pueyo L., Stolker T., Lacour S.,
Nowak M., Nasedkin E., Bonse M.J., Thorngren D., Palma-Bifani P.,
Molliere P., Wang J.J., Zhang Z., Chavez A., Kammerer J., Blunt S.,
Bowler B.P., Bonnefoy M., Brandner W., Charnay B., Chauvin G., Henning T.,
Lagrange A.-M., Pourre N., Rickman E., De Rosa R., Vigan A.,
Winterhalder T.
<Astron. J., 169, 30 (2025)>
=2025AJ....169...30B 2025AJ....169...30B
ADC_Keywords: Interferometry; Exoplanets; Spectra, infrared
Keywords: Optical interferometry ; Direct imaging ; Exoplanet atmospheres ;
Orbit determination ; Extrasolar gaseous giant planets
Abstract:
Direct imaging observations are biased toward wide-separation, massive
companions that have degenerate formation histories. Although the
majority of exoplanets are expected to form via core accretion, most
directly imaged exoplanets have not been convincingly demonstrated to
follow this formation pathway. We obtained new interferometric
observations of the directly imaged giant planet AF Lep b with the
VLTI/GRAVITY instrument. We present three epochs of ∼50uas relative
astrometry and the K-band spectrum of the planet for the first time at
a resolution of R=500. Using only these measurements, spanning less
than 2 months, and the Hipparcos-Gaia Catalogue of Accelerations, we
are able to significantly constrain the planet's orbit; this bodes
well for interferometric observations of planets discovered by Gaia
DR4. Including all available measurements of the planet, we infer an
effectively circular orbit (e<0.02, 0.07, and 0.13 at 1σ,
2σ, and 3σ, respectively) in spin-orbit alignment with the
host and measure a dynamical mass of Mp=3.75±0.5MJup. Models of the
spectrum of the planet show that it is metal-rich ([M/H]=0.75±0.25),
with a C/O abundance encompassing the solar value. This ensemble of
results shows that the planet is consistent with core accretion
formation.
Description:
We observed AF Lep b the nights of UT 2023 November 2, UT 2023
November 24, and UT 2023 December 24 using the GRAVITY instrument at
the European Southern Observatory (ESO) Very Large Telescope
Interferometer (VLTI) located in the Atacama desert in Chile. GRAVITY
operates in the K band between 2.0 and 2.4um. We used the four 8.2m
Unit Telescopes (UTs) and the dual-field mode of GRAVITY. Conditions
on 2023 November 2 were rather poor (seeing=1.1"-1.9") while
conditions on 2023 November 24 and 2023 December 24 were good
(seeing=0.4"-0.8").
Previous observations from Mesa+2023 (J/A+A/672/A93) were also used.
They observed AF Lep in two epochs with the Spectro-Polarimetric
High-contrast Exoplanet REsearch (SPHERE) instrument on the Very Large
Telescope (VLT) using its subsystems IFS and IRDIS in the
near-infrared (NIR) covering wavelengths ranging from the Y to the K
spectral bands (between 0.95 and 2.3um). The observations were
performed on October 16, 2022, and December 20, 2022.
We find that our GRAVITY spectrum agrees well with the observed SPHERE
K1 and K2 photometry.
Objects:
----------------------------------------------------
RA (2000) DE Designation(s)
----------------------------------------------------
05 27 04.76 -11 54 03.4 AF Lep b = NAME AF Lep b
----------------------------------------------------
File Summary:
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FileName Lrecl Records Explanations
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ReadMe 80 . This file
fig2a.dat 685 33 SPHERE spectrum of AF Lep b (Data behing Figure 2)
fig2b.dat 5153 233 GRAVITY spectrum of AF Lep b (Data behind Figure 2)
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See also:
I/259 : The Tycho-2 Catalogue (Hog+ 2000)
II/246 : 2MASS All-Sky Catalog of Point Sources (Cutri+ 2003)
I/357 : Gaia DR3 Part 3. Non-single stars (Gaia Collaboration, 2022)
J/A+A/415/1153 : [Fe/H] for 98 extra-solar planet-host stars (Santos+, 2004)
J/ApJ/622/1102 : The planet-metallicity correlation. (Fischer+, 2005)
J/A+A/523/A58 : PDF Atlas and spectra of FeH molecule in LHS 2 (Wende+, 2010)
J/MNRAS/434/1469 : ExoMol line lists for SiO (Barton+, 2013)
J/ApJ/777/160 : NIR imaging survey for planets around MG stars (Biller+, 2013)
J/MNRAS/437/1828 : ExoMol line list for HCN and HNC (Barber+, 2014)
J/MNRAS/442/1821 : ExoMol line list for KCl (Barton+, 2014)
J/A+A/564/A125 : AGN Torus model comparison of AGN in the CDFS (Buchner+, 2014)
J/MNRAS/454/593 : Young moving groups in solar neighbourhood (Bell+, 2015)
J/MNRAS/446/2337 : ExoMol line lists for phosphine (PH3) (Sousa-Silva+, 2015)
J/A+A/589/A21 : K-H2 line shapes for cool brown dwarfs spectra (Allard+, 2016)
J/MNRAS/460/4063 : ExoMol line list for H2S AYT2 (Yurchenko+, 2016)
J/ApJS/225/10 : Kinematic analysis of M7-L8 dwarfs (Faherty+, 2016)
J/ApJ/833/96 : Hawaii IR parallax program. II. Ultracool dwarfs (Liu+, 2016)
J/MNRAS/463/771 : ExoMol XVIII. VO high-temperature spectrum (McKemmish+, 2016)
J/ApJ/831/64 : Mass-metallicity relation for giant planets (Thorngren+, 2016)
J/AJ/153/208 : LCES HIRES/Keck radial velocity Exoplanet Survey (Butler+, 2017)
J/A+A/603/A30 : Evidence for 2 distinct giant planet population (Santos+, 2017)
J/A+A/605/A95 : CH4 and hot CH3OH continuum hybrid line list (Yurchenko+, 2017)
J/AJ/156/286 : The LEECH exoplanet imaging survey (Stone+, 2018)
J/MNRAS/490/4638 : ExoMol molecular line lists. XXXV. NH3 (Coles+, 2019)
J/A+A/623/A72 : Binarity of Hipparcos stars: Gaia pm anomaly (Kervella+, 2019)
J/MNRAS/488/2836 : ExoMol Molecular linelists. XXXIII. TiO (McKemmish+, 2019)
J/AJ/158/13 : The first 300 stars observed by the GPIES (Nielsen+, 2019)
J/ApJ/874/L31 : Giant planet bulk & atmosphere metallicities (Thorngren+, 2019)
J/AJ/159/63 : New AO obs. of exoplanets & brown dwarf companions (Bowler+,2020)
J/A+A/633/A110 : K band spectrum of beta Pictoris b (GRAVITY+, 2020)
J/ApJ/903/55 : APOGEE parameters through 83 open clusters (Poovelil+, 2020)
J/AJ/160/207 : OSIRIS K-band spectr. of κ Andromedae b (Wilcomb+, 2020)
J/ApJS/254/42 : Hipparcos-Gaia (EDR3) Catalog of Accelerations (Brandt, 2021)
J/ApJ/940/164 : An updated distance-calibrated SED of Gl 229B (Calamari+, 2022)
J/A+A/657/A7 : Stellar & substellar companions from Gaia EDR3 (Kervella+, 2022)
J/A+A/659/A135 : 178 debris systems (Pearce+, 2022)
J/AJ/163/159 : Species abundances in WASP-77A (Reggiani+, 2022)
J/AJ/165/164 : Tull RVels, rotation periods and Inclinations (Bowler+, 2023)
J/A+A/675/A205 : SPHERE high-contrast data with PACO (Chomez+, 2023)
J/AJ/165/39 : CHARIS and SPHERE/IFS IR spectra of HIP 21152 (Franson+, 2023)
J/AJ/166/85 : K-band spectroscopy of HD 284149b (Hoch+, 2023)
J/ApJ/953/170 : FIRE MRS spectrum of BD UGPSJ072227.51-054031.2 (Hood+, 2023)
J/A+A/672/A93 : AF Lep b spectrum (Mesa+, 2023)
J/AJ/167/64 : HD 136164 Ab IR spectrum with VLTI/GRAVITY (Balmer+, 2024)
J/A+A/684/A69 : beta Pic Moving Group photometry (Gratton+, 2024)
J/AJ/167/45 : Abundances in HD 181327 with MIKE (Reggiani+, 2024)
Byte-by-byte Description of file: fig2a.dat
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Bytes Format Units Label Explanations
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1- 5 F5.3 um Lambda Wavelength
7- 15 E9.3 10+3W/m2/nm Flux 1D flux
17- 25 E9.3 10+6W2/m4/nm2 Cov1 Covariance 1
27- 35 E9.3 10+6W2/m4/nm2 Cov2 Covariance 2
37- 45 E9.3 10+6W2/m4/nm2 Cov3 Covariance 3
47- 55 E9.3 10+6W2/m4/nm2 Cov4 Covariance 4
57- 65 E9.3 10+6W2/m4/nm2 Cov5 Covariance 5
67- 75 E9.3 10+6W2/m4/nm2 Cov6 Covariance 6
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87- 95 E9.3 10+6W2/m4/nm2 Cov8 Covariance 8
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107- 115 E9.3 10+6W2/m4/nm2 Cov10 Covariance 10
117- 125 E9.3 10+6W2/m4/nm2 Cov11 Covariance 11
127- 135 E9.3 10+6W2/m4/nm2 Cov12 Covariance 12
137- 145 E9.3 10+6W2/m4/nm2 Cov13 Covariance 13
147- 155 E9.3 10+6W2/m4/nm2 Cov14 Covariance 14
157- 165 E9.3 10+6W2/m4/nm2 Cov15 Covariance 15
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177- 185 E9.3 10+6W2/m4/nm2 Cov17 Covariance 17
187- 195 E9.3 10+6W2/m4/nm2 Cov18 Covariance 18
197- 205 E9.3 10+6W2/m4/nm2 Cov19 Covariance 19
207- 215 E9.3 10+6W2/m4/nm2 Cov20 Covariance 20
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317- 325 E9.3 10+6W2/m4/nm2 Cov31 Covariance 31
327- 335 E9.3 10+6W2/m4/nm2 Cov32 Covariance 32
337- 345 E9.3 10+6W2/m4/nm2 Cov33 Covariance 33
347- 355 E9.3 --- Contrast 1D contrast
357- 365 E9.3 --- Ccov1 Contrast covariance 1
367- 375 E9.3 --- Ccov2 Contrast covariance 2
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627- 635 E9.3 --- Ccov28 Contrast covariance 28
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667- 675 E9.3 --- Ccov32 Contrast covariance 32
677- 685 E9.3 --- Ccov33 Contrast covariance 33
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Byte-by-byte Description of file: fig2b.dat
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Bytes Format Units Label Explanations
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1- 5 F5.3 um Lambda Wavelength
7- 16 E10.3 10+3W/m2/nm Flux 1D flux
18- 27 E10.3 10+6W2/m4/nm2 Cov1 Covariance 1
29- 38 E10.3 10+6W2/m4/nm2 Cov2 Covariance 2
40- 49 E10.3 10+6W2/m4/nm2 Cov3 Covariance 3
51- 60 E10.3 10+6W2/m4/nm2 Cov4 Covariance 4
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1756- 1765 E10.3 10+6W2/m4/nm2 Cov159 Covariance 159
1767- 1776 E10.3 10+6W2/m4/nm2 Cov160 Covariance 160
1778- 1787 E10.3 10+6W2/m4/nm2 Cov161 Covariance 161
1789- 1798 E10.3 10+6W2/m4/nm2 Cov162 Covariance 162
1800- 1809 E10.3 10+6W2/m4/nm2 Cov163 Covariance 163
1811- 1820 E10.3 10+6W2/m4/nm2 Cov164 Covariance 164
1822- 1831 E10.3 10+6W2/m4/nm2 Cov165 Covariance 165
1833- 1842 E10.3 10+6W2/m4/nm2 Cov166 Covariance 166
1844- 1853 E10.3 10+6W2/m4/nm2 Cov167 Covariance 167
1855- 1864 E10.3 10+6W2/m4/nm2 Cov168 Covariance 168
1866- 1875 E10.3 10+6W2/m4/nm2 Cov169 Covariance 169
1877- 1886 E10.3 10+6W2/m4/nm2 Cov170 Covariance 170
1888- 1897 E10.3 10+6W2/m4/nm2 Cov171 Covariance 171
1899- 1908 E10.3 10+6W2/m4/nm2 Cov172 Covariance 172
1910- 1919 E10.3 10+6W2/m4/nm2 Cov173 Covariance 173
1921- 1930 E10.3 10+6W2/m4/nm2 Cov174 Covariance 174
1932- 1941 E10.3 10+6W2/m4/nm2 Cov175 Covariance 175
1943- 1952 E10.3 10+6W2/m4/nm2 Cov176 Covariance 176
1954- 1963 E10.3 10+6W2/m4/nm2 Cov177 Covariance 177
1965- 1974 E10.3 10+6W2/m4/nm2 Cov178 Covariance 178
1976- 1985 E10.3 10+6W2/m4/nm2 Cov179 Covariance 179
1987- 1996 E10.3 10+6W2/m4/nm2 Cov180 Covariance 180
1998- 2007 E10.3 10+6W2/m4/nm2 Cov181 Covariance 181
2009- 2018 E10.3 10+6W2/m4/nm2 Cov182 Covariance 182
2020- 2029 E10.3 10+6W2/m4/nm2 Cov183 Covariance 183
2031- 2040 E10.3 10+6W2/m4/nm2 Cov184 Covariance 184
2042- 2051 E10.3 10+6W2/m4/nm2 Cov185 Covariance 185
2053- 2062 E10.3 10+6W2/m4/nm2 Cov186 Covariance 186
2064- 2073 E10.3 10+6W2/m4/nm2 Cov187 Covariance 187
2075- 2084 E10.3 10+6W2/m4/nm2 Cov188 Covariance 188
2086- 2095 E10.3 10+6W2/m4/nm2 Cov189 Covariance 189
2097- 2106 E10.3 10+6W2/m4/nm2 Cov190 Covariance 190
2108- 2117 E10.3 10+6W2/m4/nm2 Cov191 Covariance 191
2119- 2128 E10.3 10+6W2/m4/nm2 Cov192 Covariance 192
2130- 2139 E10.3 10+6W2/m4/nm2 Cov193 Covariance 193
2141- 2150 E10.3 10+6W2/m4/nm2 Cov194 Covariance 194
2152- 2161 E10.3 10+6W2/m4/nm2 Cov195 Covariance 195
2163- 2172 E10.3 10+6W2/m4/nm2 Cov196 Covariance 196
2174- 2183 E10.3 10+6W2/m4/nm2 Cov197 Covariance 197
2185- 2194 E10.3 10+6W2/m4/nm2 Cov198 Covariance 198
2196- 2205 E10.3 10+6W2/m4/nm2 Cov299 Covariance 299
2207- 2216 E10.3 10+6W2/m4/nm2 Cov200 Covariance 200
2218- 2227 E10.3 10+6W2/m4/nm2 Cov201 Covariance 201
2229- 2238 E10.3 10+6W2/m4/nm2 Cov202 Covariance 202
2240- 2249 E10.3 10+6W2/m4/nm2 Cov203 Covariance 203
2251- 2260 E10.3 10+6W2/m4/nm2 Cov204 Covariance 204
2262- 2271 E10.3 10+6W2/m4/nm2 Cov205 Covariance 205
2273- 2282 E10.3 10+6W2/m4/nm2 Cov206 Covariance 206
2284- 2293 E10.3 10+6W2/m4/nm2 Cov207 Covariance 207
2295- 2304 E10.3 10+6W2/m4/nm2 Cov208 Covariance 208
2306- 2315 E10.3 10+6W2/m4/nm2 Cov209 Covariance 209
2317- 2326 E10.3 10+6W2/m4/nm2 Cov210 Covariance 210
2328- 2337 E10.3 10+6W2/m4/nm2 Cov211 Covariance 211
2339- 2348 E10.3 10+6W2/m4/nm2 Cov212 Covariance 212
2350- 2359 E10.3 10+6W2/m4/nm2 Cov213 Covariance 213
2361- 2370 E10.3 10+6W2/m4/nm2 Cov214 Covariance 214
2372- 2381 E10.3 10+6W2/m4/nm2 Cov215 Covariance 215
2383- 2392 E10.3 10+6W2/m4/nm2 Cov216 Covariance 216
2394- 2403 E10.3 10+6W2/m4/nm2 Cov217 Covariance 217
2405- 2414 E10.3 10+6W2/m4/nm2 Cov218 Covariance 218
2416- 2425 E10.3 10+6W2/m4/nm2 Cov219 Covariance 219
2427- 2436 E10.3 10+6W2/m4/nm2 Cov220 Covariance 220
2438- 2447 E10.3 10+6W2/m4/nm2 Cov221 Covariance 221
2449- 2458 E10.3 10+6W2/m4/nm2 Cov222 Covariance 222
2460- 2469 E10.3 10+6W2/m4/nm2 Cov223 Covariance 223
2471- 2480 E10.3 10+6W2/m4/nm2 Cov224 Covariance 224
2482- 2491 E10.3 10+6W2/m4/nm2 Cov225 Covariance 225
2493- 2502 E10.3 10+6W2/m4/nm2 Cov226 Covariance 226
2504- 2513 E10.3 10+6W2/m4/nm2 Cov227 Covariance 227
2515- 2524 E10.3 10+6W2/m4/nm2 Cov228 Covariance 228
2526- 2535 E10.3 10+6W2/m4/nm2 Cov229 Covariance 229
2537- 2546 E10.3 10+6W2/m4/nm2 Cov230 Covariance 230
2548- 2557 E10.3 10+6W2/m4/nm2 Cov231 Covariance 231
2559- 2568 E10.3 10+6W2/m4/nm2 Cov232 Covariance 232
2570- 2579 E10.3 10+6W2/m4/nm2 Cov233 Covariance 233
2581- 2590 E10.3 --- Contrast 1D contrast
2592- 2601 E10.3 --- Ccov1 Contrast covariance 1
2603- 2612 E10.3 --- Ccov2 Contrast covariance 2
2614- 2623 E10.3 --- Ccov3 Contrast covariance 3
2625- 2634 E10.3 --- Ccov4 Contrast covariance 4
2636- 2645 E10.3 --- Ccov5 Contrast covariance 5
2647- 2656 E10.3 --- Ccov6 Contrast covariance 6
2658- 2667 E10.3 --- Ccov7 Contrast covariance 7
2669- 2678 E10.3 --- Ccov8 Contrast covariance 8
2680- 2689 E10.3 --- Ccov9 Contrast covariance 9
2691- 2700 E10.3 --- Ccov10 Contrast covariance 10
2702- 2711 E10.3 --- Ccov11 Contrast covariance 11
2713- 2722 E10.3 --- Ccov12 Contrast covariance 12
2724- 2733 E10.3 --- Ccov13 Contrast covariance 13
2735- 2744 E10.3 --- Ccov14 Contrast covariance 14
2746- 2755 E10.3 --- Ccov15 Contrast covariance 15
2757- 2766 E10.3 --- Ccov16 Contrast covariance 16
2768- 2777 E10.3 --- Ccov17 Contrast covariance 17
2779- 2788 E10.3 --- Ccov18 Contrast covariance 18
2790- 2799 E10.3 --- Ccov19 Contrast covariance 19
2801- 2810 E10.3 --- Ccov20 Contrast covariance 20
2812- 2821 E10.3 --- Ccov21 Contrast covariance 21
2823- 2832 E10.3 --- Ccov22 Contrast covariance 22
2834- 2843 E10.3 --- Ccov23 Contrast covariance 23
2845- 2854 E10.3 --- Ccov24 Contrast covariance 24
2856- 2865 E10.3 --- Ccov25 Contrast covariance 25
2867- 2876 E10.3 --- Ccov26 Contrast covariance 26
2878- 2887 E10.3 --- Ccov27 Contrast covariance 27
2889- 2898 E10.3 --- Ccov28 Contrast covariance 28
2900- 2909 E10.3 --- Ccov29 Contrast covariance 29
2911- 2920 E10.3 --- Ccov30 Contrast covariance 30
2922- 2931 E10.3 --- Ccov31 Contrast covariance 31
2933- 2942 E10.3 --- Ccov32 Contrast covariance 32
2944- 2953 E10.3 --- Ccov33 Contrast covariance 33
2955- 2964 E10.3 --- Ccov34 Contrast covariance 34
2966- 2975 E10.3 --- Ccov35 Contrast covariance 35
2977- 2986 E10.3 --- Ccov36 Contrast covariance 36
2988- 2997 E10.3 --- Ccov37 Contrast covariance 37
2999- 3008 E10.3 --- Ccov38 Contrast covariance 38
3010- 3019 E10.3 --- Ccov39 Contrast covariance 39
3021- 3030 E10.3 --- Ccov40 Contrast covariance 40
3032- 3041 E10.3 --- Ccov41 Contrast covariance 41
3043- 3052 E10.3 --- Ccov42 Contrast covariance 42
3054- 3063 E10.3 --- Ccov43 Contrast covariance 43
3065- 3074 E10.3 --- Ccov44 Contrast covariance 44
3076- 3085 E10.3 --- Ccov45 Contrast covariance 45
3087- 3096 E10.3 --- Ccov46 Contrast covariance 46
3098- 3107 E10.3 --- Ccov47 Contrast covariance 47
3109- 3118 E10.3 --- Ccov48 Contrast covariance 48
3120- 3129 E10.3 --- Ccov49 Contrast covariance 49
3131- 3140 E10.3 --- Ccov50 Contrast covariance 50
3142- 3151 E10.3 --- Ccov51 Contrast covariance 51
3153- 3162 E10.3 --- Ccov52 Contrast covariance 52
3164- 3173 E10.3 --- Ccov53 Contrast covariance 53
3175- 3184 E10.3 --- Ccov54 Contrast covariance 54
3186- 3195 E10.3 --- Ccov55 Contrast covariance 55
3197- 3206 E10.3 --- Ccov56 Contrast covariance 56
3208- 3217 E10.3 --- Ccov57 Contrast covariance 57
3219- 3228 E10.3 --- Ccov58 Contrast covariance 58
3230- 3239 E10.3 --- Ccov59 Contrast covariance 59
3241- 3250 E10.3 --- Ccov60 Contrast covariance 60
3252- 3261 E10.3 --- Ccov61 Contrast covariance 61
3263- 3272 E10.3 --- Ccov62 Contrast covariance 62
3274- 3283 E10.3 --- Ccov63 Contrast covariance 63
3285- 3294 E10.3 --- Ccov64 Contrast covariance 64
3296- 3305 E10.3 --- Ccov65 Contrast covariance 65
3307- 3316 E10.3 --- Ccov66 Contrast covariance 66
3318- 3327 E10.3 --- Ccov67 Contrast covariance 67
3329- 3338 E10.3 --- Ccov68 Contrast covariance 68
3340- 3349 E10.3 --- Ccov69 Contrast covariance 69
3351- 3360 E10.3 --- Ccov70 Contrast covariance 70
3362- 3371 E10.3 --- Ccov71 Contrast covariance 71
3373- 3382 E10.3 --- Ccov72 Contrast covariance 72
3384- 3393 E10.3 --- Ccov73 Contrast covariance 73
3395- 3404 E10.3 --- Ccov74 Contrast covariance 74
3406- 3415 E10.3 --- Ccov75 Contrast covariance 75
3417- 3426 E10.3 --- Ccov76 Contrast covariance 76
3428- 3437 E10.3 --- Ccov77 Contrast covariance 77
3439- 3448 E10.3 --- Ccov78 Contrast covariance 78
3450- 3459 E10.3 --- Ccov79 Contrast covariance 79
3461- 3470 E10.3 --- Ccov80 Contrast covariance 80
3472- 3481 E10.3 --- Ccov81 Contrast covariance 81
3483- 3492 E10.3 --- Ccov82 Contrast covariance 82
3494- 3503 E10.3 --- Ccov83 Contrast covariance 83
3505- 3514 E10.3 --- Ccov84 Contrast covariance 84
3516- 3525 E10.3 --- Ccov85 Contrast covariance 85
3527- 3536 E10.3 --- Ccov86 Contrast covariance 86
3538- 3547 E10.3 --- Ccov87 Contrast covariance 87
3549- 3558 E10.3 --- Ccov88 Contrast covariance 88
3560- 3569 E10.3 --- Ccov89 Contrast covariance 89
3571- 3580 E10.3 --- Ccov90 Contrast covariance 90
3582- 3591 E10.3 --- Ccov91 Contrast covariance 91
3593- 3602 E10.3 --- Ccov92 Contrast covariance 92
3604- 3613 E10.3 --- Ccov93 Contrast covariance 93
3615- 3624 E10.3 --- Ccov94 Contrast covariance 94
3626- 3635 E10.3 --- Ccov95 Contrast covariance 95
3637- 3646 E10.3 --- Ccov96 Contrast covariance 96
3648- 3657 E10.3 --- Ccov97 Contrast covariance 97
3659- 3668 E10.3 --- Ccov98 Contrast covariance 98
3670- 3679 E10.3 --- Ccov99 Contrast covariance 99
3681- 3690 E10.3 --- Ccov100 Contrast covariance 100
3692- 3701 E10.3 --- Ccov101 Contrast covariance 101
3703- 3712 E10.3 --- Ccov102 Contrast covariance 102
3714- 3723 E10.3 --- Ccov103 Contrast covariance 103
3725- 3734 E10.3 --- Ccov104 Contrast covariance 104
3736- 3745 E10.3 --- Ccov105 Contrast covariance 105
3747- 3756 E10.3 --- Ccov106 Contrast covariance 106
3758- 3767 E10.3 --- Ccov107 Contrast covariance 107
3769- 3778 E10.3 --- Ccov108 Contrast covariance 108
3780- 3789 E10.3 --- Ccov109 Contrast covariance 109
3791- 3800 E10.3 --- Ccov110 Contrast covariance 110
3802- 3811 E10.3 --- Ccov111 Contrast covariance 111
3813- 3822 E10.3 --- Ccov112 Contrast covariance 112
3824- 3833 E10.3 --- Ccov113 Contrast covariance 113
3835- 3844 E10.3 --- Ccov114 Contrast covariance 114
3846- 3855 E10.3 --- Ccov115 Contrast covariance 115
3857- 3866 E10.3 --- Ccov116 Contrast covariance 116
3868- 3877 E10.3 --- Ccov117 Contrast covariance 117
3879- 3888 E10.3 --- Ccov118 Contrast covariance 118
3890- 3899 E10.3 --- Ccov119 Contrast covariance 119
3901- 3910 E10.3 --- Ccov120 Contrast covariance 120
3912- 3921 E10.3 --- Ccov121 Contrast covariance 121
3923- 3932 E10.3 --- Ccov122 Contrast covariance 122
3934- 3943 E10.3 --- Ccov123 Contrast covariance 123
3945- 3954 E10.3 --- Ccov124 Contrast covariance 124
3956- 3965 E10.3 --- Ccov125 Contrast covariance 125
3967- 3976 E10.3 --- Ccov126 Contrast covariance 126
3978- 3987 E10.3 --- Ccov127 Contrast covariance 127
3989- 3998 E10.3 --- Ccov128 Contrast covariance 128
4000- 4009 E10.3 --- Ccov129 Contrast covariance 129
4011- 4020 E10.3 --- Ccov130 Contrast covariance 130
4022- 4031 E10.3 --- Ccov131 Contrast covariance 131
4033- 4042 E10.3 --- Ccov132 Contrast covariance 132
4044- 4053 E10.3 --- Ccov133 Contrast covariance 133
4055- 4064 E10.3 --- Ccov134 Contrast covariance 134
4066- 4075 E10.3 --- Ccov135 Contrast covariance 135
4077- 4086 E10.3 --- Ccov136 Contrast covariance 136
4088- 4097 E10.3 --- Ccov137 Contrast covariance 137
4099- 4108 E10.3 --- Ccov138 Contrast covariance 138
4110- 4119 E10.3 --- Ccov139 Contrast covariance 139
4121- 4130 E10.3 --- Ccov140 Contrast covariance 140
4132- 4141 E10.3 --- Ccov141 Contrast covariance 141
4143- 4152 E10.3 --- Ccov142 Contrast covariance 142
4154- 4163 E10.3 --- Ccov143 Contrast covariance 143
4165- 4174 E10.3 --- Ccov144 Contrast covariance 144
4176- 4185 E10.3 --- Ccov145 Contrast covariance 145
4187- 4196 E10.3 --- Ccov146 Contrast covariance 146
4198- 4207 E10.3 --- Ccov147 Contrast covariance 147
4209- 4218 E10.3 --- Ccov148 Contrast covariance 148
4220- 4229 E10.3 --- Ccov149 Contrast covariance 149
4231- 4240 E10.3 --- Ccov150 Contrast covariance 150
4242- 4251 E10.3 --- Ccov151 Contrast covariance 151
4253- 4262 E10.3 --- Ccov152 Contrast covariance 152
4264- 4273 E10.3 --- Ccov153 Contrast covariance 153
4275- 4284 E10.3 --- Ccov154 Contrast covariance 154
4286- 4295 E10.3 --- Ccov155 Contrast covariance 155
4297- 4306 E10.3 --- Ccov156 Contrast covariance 156
4308- 4317 E10.3 --- Ccov157 Contrast covariance 157
4319- 4328 E10.3 --- Ccov158 Contrast covariance 158
4330- 4339 E10.3 --- Ccov159 Contrast covariance 159
4341- 4350 E10.3 --- Ccov160 Contrast covariance 160
4352- 4361 E10.3 --- Ccov161 Contrast covariance 161
4363- 4372 E10.3 --- Ccov162 Contrast covariance 162
4374- 4383 E10.3 --- Ccov163 Contrast covariance 163
4385- 4394 E10.3 --- Ccov164 Contrast covariance 164
4396- 4405 E10.3 --- Ccov165 Contrast covariance 165
4407- 4416 E10.3 --- Ccov166 Contrast covariance 166
4418- 4427 E10.3 --- Ccov167 Contrast covariance 167
4429- 4438 E10.3 --- Ccov168 Contrast covariance 168
4440- 4449 E10.3 --- Ccov169 Contrast covariance 169
4451- 4460 E10.3 --- Ccov170 Contrast covariance 170
4462- 4471 E10.3 --- Ccov171 Contrast covariance 171
4473- 4482 E10.3 --- Ccov172 Contrast covariance 172
4484- 4493 E10.3 --- Ccov173 Contrast covariance 173
4495- 4504 E10.3 --- Ccov174 Contrast covariance 174
4506- 4515 E10.3 --- Ccov175 Contrast covariance 175
4517- 4526 E10.3 --- Ccov176 Contrast covariance 176
4528- 4537 E10.3 --- Ccov177 Contrast covariance 177
4539- 4548 E10.3 --- Ccov178 Contrast covariance 178
4550- 4559 E10.3 --- Ccov179 Contrast covariance 179
4561- 4570 E10.3 --- Ccov180 Contrast covariance 180
4572- 4581 E10.3 --- Ccov181 Contrast covariance 181
4583- 4592 E10.3 --- Ccov182 Contrast covariance 182
4594- 4603 E10.3 --- Ccov183 Contrast covariance 183
4605- 4614 E10.3 --- Ccov184 Contrast covariance 184
4616- 4625 E10.3 --- Ccov185 Contrast covariance 185
4627- 4636 E10.3 --- Ccov186 Contrast covariance 186
4638- 4647 E10.3 --- Ccov187 Contrast covariance 187
4649- 4658 E10.3 --- Ccov188 Contrast covariance 188
4660- 4669 E10.3 --- Ccov189 Contrast covariance 189
4671- 4680 E10.3 --- Ccov190 Contrast covariance 190
4682- 4691 E10.3 --- Ccov191 Contrast covariance 191
4693- 4702 E10.3 --- Ccov192 Contrast covariance 192
4704- 4713 E10.3 --- Ccov193 Contrast covariance 193
4715- 4724 E10.3 --- Ccov194 Contrast covariance 194
4726- 4735 E10.3 --- Ccov195 Contrast covariance 195
4737- 4746 E10.3 --- Ccov196 Contrast covariance 196
4748- 4757 E10.3 --- Ccov197 Contrast covariance 197
4759- 4768 E10.3 --- Ccov198 Contrast covariance 198
4770- 4779 E10.3 --- Ccov299 Contrast covariance 299
4781- 4790 E10.3 --- Ccov200 Contrast covariance 200
4792- 4801 E10.3 --- Ccov201 Contrast covariance 201
4803- 4812 E10.3 --- Ccov202 Contrast covariance 202
4814- 4823 E10.3 --- Ccov203 Contrast covariance 203
4825- 4834 E10.3 --- Ccov204 Contrast covariance 204
4836- 4845 E10.3 --- Ccov205 Contrast covariance 205
4847- 4856 E10.3 --- Ccov206 Contrast covariance 206
4858- 4867 E10.3 --- Ccov207 Contrast covariance 207
4869- 4878 E10.3 --- Ccov208 Contrast covariance 208
4880- 4889 E10.3 --- Ccov209 Contrast covariance 209
4891- 4900 E10.3 --- Ccov210 Contrast covariance 210
4902- 4911 E10.3 --- Ccov211 Contrast covariance 211
4913- 4922 E10.3 --- Ccov212 Contrast covariance 212
4924- 4933 E10.3 --- Ccov213 Contrast covariance 213
4935- 4944 E10.3 --- Ccov214 Contrast covariance 214
4946- 4955 E10.3 --- Ccov215 Contrast covariance 215
4957- 4966 E10.3 --- Ccov216 Contrast covariance 216
4968- 4977 E10.3 --- Ccov217 Contrast covariance 217
4979- 4988 E10.3 --- Ccov218 Contrast covariance 218
4990- 4999 E10.3 --- Ccov219 Contrast covariance 219
5001- 5010 E10.3 --- Ccov220 Contrast covariance 220
5012- 5021 E10.3 --- Ccov221 Contrast covariance 221
5023- 5032 E10.3 --- Ccov222 Contrast covariance 222
5034- 5043 E10.3 --- Ccov223 Contrast covariance 223
5045- 5054 E10.3 --- Ccov224 Contrast covariance 224
5056- 5065 E10.3 --- Ccov225 Contrast covariance 225
5067- 5076 E10.3 --- Ccov226 Contrast covariance 226
5078- 5087 E10.3 --- Ccov227 Contrast covariance 227
5089- 5098 E10.3 --- Ccov228 Contrast covariance 228
5100- 5109 E10.3 --- Ccov229 Contrast covariance 229
5111- 5120 E10.3 --- Ccov230 Contrast covariance 230
5122- 5131 E10.3 --- Ccov231 Contrast covariance 231
5133- 5142 E10.3 --- Ccov232 Contrast covariance 232
5144- 5153 E10.3 --- Ccov233 Contrast covariance 233
--------------------------------------------------------------------------------
History:
From electronic version of the journal
(End) Prepared by [AAS], Robin Leichtnam [CDS] 07-Nov-2025