1 NFW model for Cheshire Cat (v5 fiducial)

GLAFIC is again used in this version (v5), I tused 1 NFW profile, instead of two NFWs like in previous versions. in calculating NFW profile, mass, position, ellipticity and PA are free.

Two jaffe profiles are used to represent LTM, mass is free parameter. (ie Mass to light ratio is free parameter) also truncation and core radius are free parameters.

Last layer is collection of all other cluster members, Total Mass, MTL ratio and truncation radius are free parameter. but assume all cluster members have the same MTL ratio. Those with 3/4 digit numbers are spectroscopically identified cluster members. while other with "color_$number" are identified with color- magnitude diagram. (which I will update later on since I forgot where I put them)

Only spectral-z lensed images are used as constrains, only those we are confident that they come from the same knot are used. They are enclosed by green circles.

A1, A2, A3 with z=2.198

B1a, B1b with z=0.9657

B2a, B2b with z=0.9657

B3a, B3b with z=0.9657

C1a, C1b with z=2.783

C2a, C2b with z=2.783

Resulting mass profile :

Black/white : 1100nm HST image ; colour contour : mass blue 0.1% of peak value, then 0.3%, 0.5%, 0.7%, 1%, 1.3%, 2%

Critical curve for system A:

cool-warm color : 1600nm HST image, black line : critical curve

Delens-relens result:

Data on the left, delens-relens on the right. Image A1 is used (green cross).

successfully reproduce A2 and A3 images.

This result also shows that images F3 in bottom left is likely to be counterimage of A.

System E is also included in delens-relens, it successfully reproduce E2 and E3 image (purple) also shows a probable counterimage left of F3.

Delens-relens A2:

Delens-relens A3:

Source plane dispersion is 0.0211 arcsec.

source plane dispersion at spec-z 2.198 is 0.0177 arcsec. geo-z = 2.23

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System B:

Critical curve:

Delens-relens result:

upper Left part of the arc:

gives something near B1b, which I consider a possible counterimage for B2b

Central right part of the arc (green cross area) , give us the upper part of the arc and possible counterimage in B1a

upper right part of the arc. produce the central part of the arc and possible counterimage B1a.

Source dispersion:

0.0436 arcsec, 0.0826 arcsec and 0.0096 arcsec respectively.

spec-z 0.9657, Geo-z is 0.97

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Source C:

Critical Curve:

Delens relens result:

The image on the top:

produce the counter image correctly.

zoom-in:

delens-relens this counter image also give good result:

The other set of image also gives good result.

Source plane dispersion is 0.0187 and 0.0231 arcsec.

spec-z is 2.783 Geo-z is 2.75