Table 1: Properties of the computed models. The first column denotes the sequence number, where "NR'', "R'' and "RT'' denote the non-rotating models and rotating models with $f_{\rm c} = 1/30$ and 1/3 respectively. The second column gives the accretion rate in units of 10^-7 ${M}_{\odot }/\rm {yr}$ . The third column denotes the factor $f_{\rm c}$ for the chemical mixing efficiency in rotating models. Columns 4-7 give mass, central density, central temperature and $\ensuremath {E_{\rm rot}/\vert E_{\rm grav}\vert}$ of the last computed model of each evolutionary sequence. The eighth column gives the amount of accreted material until the onset of the helium shell instability. The column with $L_{\rm Edd}$ indicates whether the last computed model reached the Eddington limit or not. The last column gives the total number of the computed models for each sequence.
No. $\ensuremath{\dot{M}}$ $f_{\rm c}$ $M_{\rm last}$ $\rho_{\rm c, last}$ $T_{\rm c, last}$ $(E_{\rm rot}/\vert E_{\rm grav}\vert)_{\rm last}$ $\Delta M$ $L_{\rm Edd}$ No. of models

[10^-7 ${M}_{\odot }/\rm {yr}$ ] [ $\ensuremath {{M}_\odot }$ ] [ $10^8~{\rm g/cm^3}$ ] [10⁸ K] [ $\ensuremath {{M}_\odot }$ ]

NR1 2.0 - 1.0026 0.25 1.45 - 0.00 Yes 4342

NR2 3.0 - 1.0042 0.25 1.45 - 0.00 Yes 5164

NR3 5.0 - 1.0130 0.28 1.37 - 0.00 Yes 10 324

NR4 10 - 1.1984 1.39 1.44 - 0.03 No 383 637

R1 2.0 1/30 1.0074 0.28 1.25 0.0018 0.00 Yes 18 021

R2 3.0 1/30 1.0224 0.32 1.17 0.0025 0.00 Yes 28 449

R3 5.0 1/30 1.2241 1.05 1.21 0.0197 0.14 No 180 004

R4 10 1/30 1.4773 5.14 1.72 0.0578 0.48 No 490 026

RT1 2.0 1/3 1.0665 0.42 0.99 0.0081 0.01 No 174 270

RT2 3.0 1/3 1.1537 0.77 1.22 0.0080 0.01 No 212 730

**Table 1:** Properties of the computed models. The first column denotes the sequence number, where "NR'', "R'' and "RT'' denote the non-rotating models and rotating models with $f_{\rm c} = 1/30$ and 1/3 respectively. The second column gives the accretion rate in units of 10^-7 ${M}_{\odot }/\rm {yr}$ . The third column denotes the factor $f_{\rm c}$ for the chemical mixing efficiency in rotating models. Columns 4-7 give mass, central density, central temperature and $\ensuremath {E_{\rm rot}/\vert E_{\rm grav}\vert}$ of the last computed model of each evolutionary sequence. The eighth column gives the amount of accreted material until the onset of the helium shell instability. The column with $L_{\rm Edd}$ indicates whether the last computed model reached the Eddington limit or not. The last column gives the total number of the computed models for each sequence.
No.	$\ensuremath{\dot{M}}$	$f_{\rm c}$	$M_{\rm last}$	$\rho_{\rm c, last}$	$T_{\rm c, last}$	$(E_{\rm rot}/\vert E_{\rm grav}\vert)_{\rm last}$	$\Delta M$	$L_{\rm Edd}$	No. of models
	[10^-7 ${M}_{\odot }/\rm {yr}$ ]		[ $\ensuremath {{M}_\odot }$ ]	[ $10^8~{\rm g/cm^3}$ ]	[10⁸ K]		[ $\ensuremath {{M}_\odot }$ ]

NR1	2.0	-	1.0026	0.25	1.45	-	0.00	Yes	4342
NR2	3.0	-	1.0042	0.25	1.45	-	0.00	Yes	5164
NR3	5.0	-	1.0130	0.28	1.37	-	0.00	Yes	10 324
NR4	10	-	1.1984	1.39	1.44	-	0.03	No	383 637
R1	2.0	1/30	1.0074	0.28	1.25	0.0018	0.00	Yes	18 021
R2	3.0	1/30	1.0224	0.32	1.17	0.0025	0.00	Yes	28 449
R3	5.0	1/30	1.2241	1.05	1.21	0.0197	0.14	No	180 004
R4	10	1/30	1.4773	5.14	1.72	0.0578	0.48	No	490 026
RT1	2.0	1/3	1.0665	0.42	0.99	0.0081	0.01	No	174 270
RT2	3.0	1/3	1.1537	0.77	1.22	0.0080	0.01	No	212 730

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