Table 1: Observational and model parameters (see Sects. 2.1-2.3 for detailed descriptions).
Symbol Dimension

Observational z [dimensionless]

parameters D [kpc]

derived AR [dimensionless]

from radio maps $\nu$ [MHz]

and spectrum $P_{\nu}$ [W Hz^-1sr^-1]

Model free a₀ [kpc]

parameters $\beta$ [dimensionless]

(to be fixed) $p=2\alpha_{\rm inj}$ +1 [dimensionless]

$\gamma_{\rm i,min}$ , ${\gamma }_{\rm {i},{m}{a}{x}}$ [dimensionless]

$\Gamma_{\rm c}$ , $\Gamma_{\rm x}$ [dimensionless]

$\zeta$ [dimensionless]

t [yr]

$\theta$ [deg]

Model parameters $Q_{\rm jet}$ [W]

derived for given $\rho _{0}$ [kg m^-3]

values of t, $p_{\rm c}$ [N m^-2]

${\alpha }_{\rm {i}{n}{j}}$ and ${\gamma }_{\rm {i},{m}{a}{x}}$ $u_{\rm c}$ [J m^-3]

$E_{\rm tot}$ [J]

**Table 1:** Observational and model parameters (see Sects. 2.1-2.3 for detailed descriptions).
	Symbol	Dimension
Observational	z	[dimensionless]
parameters	D	[kpc]
derived	AR	[dimensionless]
from radio maps	$\nu$	[MHz]
and spectrum	$P_{\nu}$	[W Hz^-1sr^-1]
Model free	a₀	[kpc]
parameters	$\beta$	[dimensionless]
(to be fixed)	$p=2\alpha_{\rm inj}$ +1	[dimensionless]
	$\gamma_{\rm i,min}$ , ${\gamma }_{\rm {i},{m}{a}{x}}$	[dimensionless]
	$\Gamma_{\rm c}$ , $\Gamma_{\rm x}$	[dimensionless]
	$\zeta$	[dimensionless]
	t	[yr]
	$\theta$	[deg]
Model parameters	$Q_{\rm jet}$	[W]
derived for given	$\rho _{0}$	[kg m^-3]
values of t,	$p_{\rm c}$	[N m^-2]
${\alpha }_{\rm {i}{n}{j}}$ and ${\gamma }_{\rm {i},{m}{a}{x}}$	$u_{\rm c}$	[J m^-3]
	$E_{\rm tot}$	[J]

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