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Table A.1.

Positions, distance uncertainties, relative distance, and significances for our selected set of galaxy clusters.

Name Simulations Observations Distance Relative Significance

SGX SGY SGZ SGX SGY SGZ Uncertainty Distance Lx500 Tx500 Ysz500 M500

[Mpc / h] [Mpc / h] [Mpc / h] (0 – 1)
A85 50.84 -143.10 25.88 46.39 -155.60 1.76 15 27.53 0.99 0.96 0.98 0.98

A119 73.61 -117.28 -24.93 57.59 -119.46 -1.67 15 28.32 0.98 0.98 0.98 0.97

A347 60.29 -2.44 -19.23 52.69 -16.38 -5.28 18 21.14 1.00 0.67 0.93 0.20

A496 -13.28 -94.52 -83.46 24.79 -51.18 -83.46 17 57.69 0.69 0.61 0.41 0.50

A539 54.47 8.98 -82.08 43.81 -18.63 -73.38 17 30.85 0.95 0.80 0.93 0.86

A576 120.30 39.98 -14.59 98.80 57.53 -38.41 17 36.57 0.70 0.60 0.74 0.69

A644 -26.48 70.51 -204.14 -9.74 83.20 -209.86 15 21.77 0.99 0.96 0.98 0.98

A754 -34.31 78.48 -144.27 -32.44 88.40 -143.56 14 10.12 0.98 0.97 0.99 0.98

A1185 24.59 112.10 -27.24 16.31 99.93 -25.16 18 14.86 0.98 0.88 0.96 0.94

A1367 -2.89 71.35 -18.73 -2.94 68.62 -12.68 17 6.64 0.99 0.98 0.99 0.98

A1644 -97.26 64.92 -5.74 -102.00 107.93 -10.76 15 43.57 0.93 0.70 0.85 0.76

A1736 -137.66 65.91 -22.87 -117.47 83.34 -0.73 17 34.66 0.88 0.67 0.85 0.77

A1795 6.26 201.72 29.19 -9.57 174.19 59.27 15 43.74 0.30 0.15 0.35 0.25

A2029 -92.61 142.37 141.38 -94.65 162.38 127.79 14 24.27 0.99 0.95 0.98 0.98

A2063 -42.47 66.58 97.18 -39.98 76.20 66.87 17 31.90 0.70 0.69 0.80 0.75

A2065 7.25 138.68 107.11 -9.07 161.56 134.02 15 38.91 0.94 0.89 0.94 0.90

A2107 -28.27 71.39 83.16 -18.25 92.93 89.98 17 24.71 0.73 0.51 0.60 0.0.57

A2197/99 -12.99 48.75 97.11 18.31 57.56 72.51 17 40.77 0.94 0.35 0.69 0.61

A2256 115.91 96.33 79.47 137.38 86.90 78.14 14 23.49 0.82 0.62 0.80 0.73

A2319 81.29 2.38 118.30 72.21 21.34 136.87 12 28.05 0.99 0.93 0.98 0.93

A2572a 67.40 -88.63 16.82 66.25 -80.64 54.83 17 38.86 0.96 0.97 0.90 0.96

A2593 54.51 -107.62 32.14 66.54 -93.66 54.04 17 28.62 0.96 0.91 0.92 0.93

A2634 80.38 -52.34 32.13 64.39 -54.96 37.40 18 17.04 0.67 0.60 0.94 0.65

A2665 111.79 -123.00 44.66 75.78 -140.15 49.86 17 40.22 0.90 0.51 0.34 0.77

A2734 -20.57 -186.09 21.73 -13.99 -188.50 5.14 17 18.01 0.96 0.80 0.80 0.88

A2877 -8.07 -76.12 -0.78 -21.18 -65.46 -16.88 18 23.34 0.54 0.50 0.96 0.57

A3158 -49.26 -108.90 -119.25 -79.02 -135.57 -117.83 15 39.99 0.95 0.60 0.93 0.72

A3266 -59.95 -93.17 -128.12 -97.79 -105.76 -111.61 14 43.17 0.97 0.90 0.65 0.96

A3376 -36.34 -74.00 -124.29 -41.49 -50.16 -130.44 17 25.15 0.93 0.82 0.78 0.88

A3391 / 95 -53.30 -43.16 -101.67 -78.28 -51.37 -118.14 17 31.03 0.99 0.97 0.46 0.97

A3532 -156.71 96.63 -36.03 -143.78 96.68 -22.69 15 18.58 0.87 0.82 0.98 0.82

A3558 -141.91 66.10 -37.17 -130.29 78.7 -3.64 15 37.66 0.98 0.99 0.85 0.98

A3571 -142.64 54.10 -33.88 -109.39 58.57 4.39 15 50.90 0.89 0.45 0.78 0.60

A3581 -84.87 62.76 -23.92 -58.22 36.91 10.01 17 50.29 0.09 0.10 0.90 0.20

A3667 -156.83 -111.30 66.72 -133.15 -101.45 47.00 14 32.36 0.71 0.92 0.39 0.90

2A0335+096 74.52 -60.85 -58.17 70.15 -55.59 -62.44 18 8.07 0.99 0.99 0.98 1.00

3C129 55.55 11.33 -28.56 56.58 2.80 -23.92 18 9.76 0.97 0.92 0.99 0.93

AWM7 60.08 -6.71 -23.32 45.01 -11.89 -8.47 18 21.78 0.26 0.34 0.93 0.38

Centaurus/A3526 -22.82 11.21 -13.26 -34.25 14.93 -7.56 18 13.31 1.00 1.00 0.88 1.00

Fornax/AS0373 4.47 -6.59 -21.52 -1.69 -10.74 -8.69 19 14.83 0.90 0.53 0.98 0.70

Hydra/A1060 -21.21 9.89 -19.41 -25.63 21.99 -25.97 18 14.45 1.00 0.95 0.27 0.97

Norma/A3627 -45.65 -0.38 -5.67 -50.26 -7.06 6.44 17 14.58 0.94 0.66 0.99 0.73

Perseus/A426 59.22 2.13 -24.58 49.94 -10.73 -12.98 18 19.65 0.99 0.98 1.00 0.98

Coma/A1656 -2.93 82.27 -9.14 0.48 72.79 10.59 14 22.15 1.00 1.00 1.00 1.00

Virgo -3.60 10.36 -1.64 -3.48 14.86 -2.21 16 * 4.54 1.00 1.00 1.00 1.00

Notes: The observed positions are sourced from the Tully galaxy catalog and are represented in supergalactic coordinates. In cases where Tully’s positions were unavailable, we extracted coordinates from NED and subsequently transformed them into supergalactic coordinates. These clusters are denoted by a cross symbol. The distance uncertainties were determined through the consideration of peculiar velocity uncertainties, as elaborated upon in Sect.5.2 for further details. Relative distance indicates the disparity between the estimated observational position and the position of the corresponding cluster in our simulation. Significances are assigned values ranging from 0 to 1, where higher numbers signify greater significance (i.e., a higher probability of deviation from a random simulation).

Observed positions retrieved from the NED Database:: https://ned.ipac.caltech.edu

*

For close-by systems such as Virgo we expect the error from direct distance measurements to be substantially smaller.

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