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Table B.1

Main properties of the M15 sequences from the ZAMS to the TP-AGB.

Mi τMS τRGB HeCF τHeCB τeAGB τTP−AGB(M) τTP−AGB(C) #TP Mf NC/NO
[M] [Myr] [Myr] [Myr] [Myr] [M] [Myr] [Myr] (AGB) [M]

Z0 = 0.01

1.00 8539.1 1847.8 yes 112.45 10.825 0.5119 0.71950 0.0000 4 0.5282 .404
1.50 1989.7 481.76 yes 102.81 9.6305 0.5271 0.81428 0.26368 7 0.5595 1.77
2.00 969.87 59.771 no 162.42 13.899 0.5062 1.5132 0.65170 12 0.5584 2.52
2.50 534.59 9.2022 no 165.72 10.055 0.5434 0.61113 1.1034 11 0.5678 3.80
3.00 334.09 4.2506 no 87.321 4.8755 0.6386 0.17697 0.34383 8 0.6352 3.16
4.00 164.01 1.4422 no 27.686 1.6394 0.8018 0.29503E-01 0.10702 11 0.7968 1.95

Z0 = 0.001

1.00 5649.1 848.89 yes 86.936 8.5632 0.5240 0.62546 0.24255 4 0.5451 8.44
1.50 1342.9 319.05 yes 84.146 7.3278 0.5564 0.52748E-03 1.0151 7 0.5804 7.78
2.00 616.85 15.556 no 158.36 5.6971 0.6167 0.82512E-01 0.77219 10 0.6202 8.29
2.50 399.46 6.0777 no 82.517 3.3881 0.7021 0.20568E-03 0.56845 12 0.6916 7.03

Notes. Mi: initial mass of the model (at ZAMS). τMS: duration of the main sequence, until . τRGB: lifetime from the end of the main sequence to He-ignition set at log LHe/L = 1. HeCF: Full He-core flash (and subflashes) at the beginning of the core He-burning phase. τHeCB: lifetime of core He-burning, until . τeAGB: lifetime of the early AGB phase from the end of core helium burning to the first thermal pulse. : mass of the H-free core at the first thermal pulse (defined as those regions with XH< 10-4). τTP−AGB(M): lifetime of the star in the TP-AGB as a M-type star (NC/NO< 1). τTP−AGB(C): lifetime of the star in the TP-AGB as a carbon star (NC/NO> 1). #TP: number of thermal pulses on the AGB. Mf: final mass of the star. NC/NO: C/O ratio in number fraction at the end of the TP-AGB phase.

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