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Table 1.

Evaluated probabilities.

Symbol Value Equation Comments
P3• < 2.5 × 10−2 (4) Probability that a galaxy has 3 SMBHs orbiting each other at any time
Peject 10−3 (3) Probability that the 3 SMBHs are ejected from the galaxy
Pfila 2.2 × 10−2 (6) Probability that the galaxy has a massive radial gas filament
Pshot 6.9 × 10−5 (7) Probability that the SMBH is shot right along the axis of the existing filament
Punst < 3.0 × 10−5 (13) Probability that the passage of the SMBH triggers star formation in the filament
PTFR1 < 5.7 × 10−2 (14) Probability that the formed stars are on the TFR
PSMBH < 6 × 10−17 (1) (2) Overall probability of the runaway SMBH scenario
Pbl ≳0.2 (17) Probability for a galaxy to be bulgeless
Peo 8 × 10−2 (18) Probability for a disk galaxy to be observed edge-on
PD ≳3 × 10−2 (19) Probability of having a second galaxy close enough
Palign 2.9 × 10−2 (20) Probability of having the second galaxy along the major axis of the projected disk
PTFR2 1 (16) Probability that the formed stars are on the TFR
Pgalax ≳1.4 × 10−5 (15) (21) Overall probability of the edge-on galaxy scenario
Ns ∼2 × 108 Number of galaxies in the largest existing surveys (a)
NsPSMBH 1.2 × 10−8 Expected number of objects in the SMBH scenario
NsPgalax 1.4 × 104 Expected number of objects in the edge-on galaxy scenario
NU ∼2 × 1012 Expected number of galaxies in the visible Universe (b)
NUPSMBH 1.2 × 10−4 Expected number of objects in the SMBH scenario
NUPgalax 1.4 × 108 Expected number of objects in the edge-on galaxy scenario

Notes.

(a)

For example, the Dark Energy Survey described by Abbott et al. (2021).

(b)

Up to redshift eight, according to Conselice et al. (2016).

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