Cheshire Cat v2 run 13c

Hi Tom, Jeremy and Sandor,

I present here the cheshire cat model, with all spec-z system with multiple images (System A,B,C) and all geo-z system (System J , System AB-Nose, System K4-K2-M1, System B4-G1-H1) . The geo-z I gave to glafic is initial guess from the all-specz system, in this model, I allow galfic to guess the geo-z, by providing a gaussian error or it to fit.

Summary of redshifts:

A : z=2.198 (Spec-z)

B : z=0.9657 (spec-z)

C : z=2.783 (spec-z)

D : z=0.802 (spec-z; not used since it is not multiple-image system)

J : 2.1813 (geo-z)

AB & Nose : 0.7876 (geo-z)

K4-K2-M1 : 2.6041 (geo-z)

B4-G1-H1 : 2.0291 (geo-z)

Mass distribution:

Radial mass profile:

Delens relens result of the 3 spec-z system:

system A

For Delens relens of A1: It reproduce all A1, A2 and A3 without obvious positional disagreement. It predicts a dim image near left eye.

Delens relens of A2: Reproduced A1 image shifted leftward from the observed position by around 0.4 arcsec

Delens relens of A3 : reproduced A1 image extends from the observed position by 0.5 arcsec. no further positional disagreement

Critical Curve of system A , this system has spec-z of 2.198

Geo-z is similar to Spec-z, source dispersion is 0.08 arcsec at spec-z

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System B:

Delens-Relens of B1

There is no obvious positional disagreement in relens of B1, Reproduced B2 image extend northward.

Delens-relens of B2 is marginally good. it reproduce an image north of it. and a central counterimage that wasn't observed.

Critical Curve of B, z=0.9657

Geo-z of Source B is 0.75, spec-z is 0.9657, at spec-z the dispersion is 0.44 arcsec.

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System C:

Delens-Relens of C1-C3

No positional disagreement in all of them

Critical Curve: z=2.783

Geo-z of Source B is 2.4, spec-z is 2.783, at spec-z the dispersion is 0.32 arcsec.

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GEO-Z systems

For geo-z systems: I allow galfic to optimise the geo-z by providing an initial guess of redshift

System J

Delens-Relens of J1/J2

Produce an counterimage left of left eye that is not observed, it is very dim anyway.

critical curve of J, z=2.1813

geo-z is 2.21, dispersion is 0.02 arcsec. Galfic derived redshift : 2.1813

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System AB and Nose:

Delens-Relens of AB, produce Nose fairly good.

and vice-versa

Critical Curve z=0.7876

geo-z is 0.79, galfic derived z=0.7876 , dispersion = 0.05 arcsec

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System K4, K2, M1

Delens-relens of M1

Apart from position of K4 goes further north, the difference is not big

K2

Result fairly good

K4

Reproduced K2 image further south.

Critical curve z=2.6041

Geo-z z=2.6, galfic-derived z=2.6041, dispersion 0.2 arcsec

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System B4 G1 H1

Delens relens of B4 produce G1, H1 well, predict a dim counterimage near Nose.

G1 :

all well

H1: all well

Critical curve z=2.0291

geo-z is 2.1, galfic derived is 2.0291 , dispersion 0.1 arcsec

Summary :

Positional disagreement :

Prediction of A1 image goes north by 0.5 arcsec

Relens of B2 predict a position north of it.

K4 K2 M1 system, always predict K4 position further north.

I will try to run few more models to see if I can improve it .