Table 6: Model properties of the TP-AGB phase for $Z=0.006$, $0.001$ and $0.0001$. $\mzams$ & $m_c$ & $logL_{\ast}$ & $R_{\ast}$ & $N_{TP}$ & $N_{TDUP}$ & $t_{TPI}$ & $\Delta M_{Dmax}$ & $M_D$ & $t_{ip}$ & $M_{lost}$ & $logT_{CEB,max}$ & $logT_{PDCZ,max}$ & $M_{PDCZ}$ & $logL_{He,max}$ & $logL_{max}$\\ {[$M_{\odot}$]} & {[$M_{\odot}$]} & {[$L_{\odot}$]} & {[$R_{\odot}$]} & & & {[$10^6 yr$]} & {[$10^{-2}M_{\odot}$]} & {[$10^{-2}M_{\odot}$]} & {[$yr$]} & {[$M_{\odot}$]} & {[$K$]} & {[$K$]} & {[$10^{-2}M_{\odot}$]} & {[$L_{\odot}$]} & {[$L_{\odot}$]}\\ \multicolumn{16}{c}{Z=0.02} \\ 1.00 & 0.526 & 3.42 & 177& 7 & 0 & 1.218E+04 & 0.000 & 0.000 & 136870 & 0.21 & 7.286 & 8.326 & 3.767 & 6.41 & 3.85\\ 6.00 & 0.956 & 4.59 & 721& 19 & 18 & 7.415E+01 & 0.123 & 1.281 & 3421 & 4.88 & 7.973 & 8.553 & 0.268 & 7.69 & 5.08\\ 7.00 & 1.067 & 4.77 & 901& 15 & 14 & 5.208E+01 & 0.109 & 0.936 & 1683 & 5.74 & 8.080 & 8.568 & 0.089 & 7.35 & 5.23\\ \multicolumn{16}{c}{Z=0.01} \\ 1.00 & 0.521 & 3.36 & 165& 7 & 0 & 9.924E+03 & 0.000 & 0.000 & 169982 & 0.19 & 7.105 & 8.185 & 4.027 & 6.51 & 3.83\\ 6.00 & 0.996 & 4.62 & 704& 23 & 22 & 7.099E+01 & 0.175 & 2.848 & 2813 & 4.79 & 8.383 & 8.555 & 0.198 & 7.86 & 4.70\\ 7.00 & 1.120 & 4.78 & 872& 48 & 47 & 5.091E+01 & 0.101 & 3.833 & 1198 & 5.63 & 8.322 & 8.599 & 0.071 & 7.98 & 4.87\\ \multicolumn{16}{c}{Z=0.006} \\ 1.00 & 0.525 & 3.40 & 158& 8 & 1 & 8.247E+03 & 0.664 & 0.664 & 168533 & 0.20 & 6.292 & 8.412 & 4.004 & 6.75 & 3.90\\ 1.65 & 0.537 & 3.61 & 194& 17 & 9 & 1.642E+03 & 0.351 & 1.879 & 112057 & 0.94 & 6.667 & 8.449 & 3.672 & 7.32 & 4.07\\ 2.00 & 0.510 & 3.55 & 172& 24 & 13 & 1.126E+03 & 0.533 & 4.633 & 130884 & 1.36 & 6.814 & 8.454 & 4.351 & 7.48 & 4.09\\ 3.00 & 0.708 & 4.08 & 335& 10 & 9 & 3.636E+02 & 0.726 & 4.324 & 31552 & 2.23 & 7.256 & 8.493 & 1.410 & 8.07 & 4.24\\ 4.00 & 0.847 & 4.32 & 451& 16 & 14 & 1.726E+02 & 0.239 & 1.803 & 7814 & 2.97 & 7.636 & 8.522 & 0.567 & 7.79 & 4.55\\ 5.00 & 0.926 & 4.47 & 535& 31 & 24 & 1.025E+02 & 0.074 & 0.358 & 2775 & 3.84 & 7.973 & 8.526 & 0.211 & 7.40 & 4.66\\ 6.00 & 1.044 & 4.66 & 694& 32 & 29 & 6.875E+01 & 0.056 & 0.937 & 1364 & 4.64 & 8.022 & 8.558 & 0.132 & 7.55 & 4.73\\ 7.00 & 1.164 & 4.88 & 879& 26 & 22 & 4.969E+01 & 0.041 & 0.613 & 634 & 5.48 & 8.198 & 8.587 & 0.039 & 7.30 & 4.90\\ \multicolumn{16}{c}{Z=0.001} \\ 1.00 & 0.532 & 3.43 & 130& 9 & 2 & 6.169E+03 & 0.025 & 0.048 & 176051 & 0.25 & 6.328 & 8.445 & 4.005 & 7.22 & 3.98\\ 1.65 & 0.571 & 3.72 & 180& 13 & 8 & 1.322E+03 & 0.509 & 3.095 & 97787 & 0.96 & 6.839 & 8.455 & 3.260 & 7.43 & 4.08\\ 2.00 & 0.604 & 3.85 & 210& 14 & 12 & 8.581E+02 & 0.777 & 6.940 & 77574 & 1.33 & 6.938 & 8.471 & 2.623 & 7.71 & 4.10\\ 3.00 & 0.821 & 4.24 & 342& 9 & 8 & 2.986E+02 & 0.337 & 1.836 & 11659 & 1.99 & 7.452 & 8.507 & 0.692 & 7.78 & 4.39\\ 4.00 & 0.881 & 4.39 & 391& 21 & 19 & 1.517E+02 & 0.237 & 2.455 & 5715 & 2.98 & 7.951 & 8.547 & 0.447 & 7.93 & 4.54\\ 5.00 & 0.971 & 4.56 & 483& 32 & 24 & 9.308E+01 & 0.101 & 1.300 & 2235 & 3.88 & 8.027 & 8.546 & 0.172 & 7.82 & 4.64\\ 6.00 & 1.119 & 4.78 & 660& 24 & 21 & 6.386E+01 & 0.039 & 0.475 & 801 & 4.49 & 8.120 & 8.557 & 0.056 & 7.07 & 4.89\\ 7.00 & 1.258 & 5.00 & 847& 30 & 24 & 4.710E+01 & 0.009 & 0.143 & 164 & 5.14 & 8.156 & 8.597 & 0.014 & 6.85 & 5.03\\ \multicolumn{16}{c}{Z=0.0001} \\ 1.00 & 0.532 & 3.19 & 75& 2 & 1 & 5.726E+03 & 2.485 & 2.485 & 274820 & 0.33 & 6.266 & 8.312 & 3.986 & 6.72 & 3.63\\ 1.65 & 0.589 & 3.77 & 161& 12 & 11 & 1.231E+03 & 0.702 & 5.482 & 91155 & 0.99 & 6.870 & 8.461 & 2.956 & 7.53 & 4.05\\ 2.00 & 0.655 & 3.97 & 205& 11 & 10 & 7.494E+02 & 0.895 & 6.242 & 56131 & 1.31 & 7.114 & 8.490 & 1.906 & 7.89 & 4.14\\ 3.00 & 0.848 & 4.29 & 295& 11 & 10 & 2.722E+02 & 0.242 & 1.897 & 8765 & 2.01 & 7.715 & 8.514 & 0.569 & 7.63 & 4.48\\ 4.00 & 0.899 & 4.43 & 345& 19 & 18 & 1.414E+02 & 0.246 & 2.506 & 5253 & 3.01 & 7.979 & 8.541 & 0.376 & 8.00 & 4.55\\ 5.00 & 0.982 & 4.59 & 413& 29 & 20 & 8.805E+01 & 0.111 & 1.331 & 2228 & 3.93 & 8.057 & 8.553 & 0.165 & 7.82 & 4.76\\ 6.00 & 1.124 & 4.83 & 572& 19 & 16 & 6.115E+01 & 0.038 & 0.428 & 824 & 4.52 & 8.141 & 8.561 & 0.049 & 7.07 & 4.96\\ 7.00 & 1.272 & 5.05 & 743& 27 & 21 & 4.557E+01 & 0.007 & 0.091 & 134 & 4.70 & 8.369 & 8.597 & 0.009 & 6.72 & 5.10\\ $M_{ini}$: Initial stellar mass. $m_c$: H-free core mass at the first TP. $L_{\ast}$: Approximated mean stellar luminosity. $R_{\ast}$ : Approximated mean stellar radius. $N_{TP}$: Number of TPs. $N_{TDUP}$ : Number of TPs with TDUP. $t_{TPI}$: Time at first TP. $\Delta M_{Dmax}$: Maximum dredged-up mass after a single TP. $M_D$: Total dredged-up mass of all TPs. $t_{ip}$ : Average interpulse duration of TPs. $M_{lost}$: Total mass lost during the TP-AGB phase. $T_{PDCZ,max}$: Maximum temperature during the TP-AGB phase. $M_{PDCZ}$: Maximum size of PDCZ. $logL_{He,max}$: Maximum He luminosity during TP-AGB phase. $logL_{max}$: Maximum total luminosity during TP-AGB phase.