Properties of an approximate SPT (11) for a quadrupole lens. This SPT transforms a surface mass density κ for our fiducial model into a surface mass density of a power law with a finite core. Top: proxy to the factor 1 + f(β) which scales the positions, given by the ratio of source position modulus obtained for the power law and the fiducial models, i.e. . The color-coding of this quantity as a function of the polar angle of the source φ (in degrees) shows the azimuthal change of f(β), or in other words, the slight anisotropy of the SPT. Bottom: the curves show how the SPT modifies the magnification and the time delay . The red crosses show and the black triangles show for each source position. The error bars give the standard deviation of the quantity as obtained for the different images of the same source. The standard deviation is negligible for the magnification, but can reach 10% for the time delay.
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