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Table A.1.

Improvement factors for the average absolute deviation in sigma values from the null hypothesis ⟨Dnull⟩ given by Eq. (A.1) and the average size of the errors ⟨σGA⟩ given by Eq. (A.2) in the redshift range of the current and mock data, along with the corresponding improvement ratio. In the last two rows, we also present the average and median improvement factor for all the tests.

Test Data/ratio Dnull σGA
Current 0.081 0.260
OmH(z) Euclid + DESI + LSST 0.181 0.004
ratio 0.450 73.497
Current 0.238 0.156
Σ(z) Euclid + DESI + LSST 0.199 0.048
ratio 1.195 3.218
Current 0.093 0.557
r0 Euclid + DESI + LSST 0.180 0.007
ratio 0.517 76.338
Current 0.422 0.039
OmdL Euclid + DESI + LSST 0.119 0.080
ratio 3.546 0.492
Current 0.422 0.039
OmdA Euclid + DESI + LSST 0.119 0.080
ratio 3.546 0.492
Current 0.251 0.864
z2Ωk(z) Euclid + DESI + LSST 0.126 0.384
ratio 1.990 2.248
Current 0.593 0.384
𝒪K(z) Euclid + DESI + LSST 0.080 0.098
ratio 7.457 3.918
Current 0.450 0.175
𝒪m(z) Euclid + DESI + LSST 0.087 0.040
ratio 5.147 4.413
Summary Average 2.981 20.577
Median 2.768 3.568

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