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Table 1:

General properties of the TP-SAGB models.

$M_{\rm ini}$
Z $M_c^{\rm 1TP}$ $M^{\rm 1TP}$ $T_{\rm env}^{\rm 1TP}$ $\Delta t_{\rm pulse}$ $L_{\rm He}^{\rm max}$ $\Delta M_{\rm pulse}^{\rm max}$ $T_{\rm
pulse}^{\rm max}$ $r_{\rm over}$ $\Delta t_{\rm inter}$ $\dot M_{\rm core}$ $M_{\rm core}^{\rm end}$ $\overline{T_{\rm env}}$ $T_{\rm env}^{\rm max}$ $\Delta t_{\rm env}$ $t_{\rm SAGB}$ $\Delta t_{\rm SAGB}$ $n_{\rm TP}$
$M_{\odot }$   $M_{\odot }$ $M_{\odot }$ 108 K yr 106$L_{\odot}$ 10-4$M_{\odot }$ 108 K   yr $M_{\odot}~{\rm yr^{-1}}$ $M_{\odot }$ 108 K 108 K yr 106 yr yr  
7.5$^\dag$ 0.0001 1.069 7.497 1.201 1.10 0.345 3.687 3.095 0.112 116.46 6.04(-7) 1.284 1.392 1.549 223330 37.6603 356374 2776
8.0 0.0001 1.142 7.996 1.315 0.80 0.365 1.698 3.381 0.121 80.35 6.15(-7) 1.295 1.406 1.540 189706 33.4789 242416 2807
8.5 0.0001 1.197 8.494 1.364 0.66 0.482 0.928 3.522 0.152 61.92 6.17(-7) 1.301 1.385 1.507 143035 29.9597 163779 2409
9.0 0.0001 1.255 8.991 1.371 0.45 0.501 0.478 3.569 0.115 33.83 7.34(-7) 1.327 1.317 1.455 87518 27.0912 100712 2573
8.0 0.0010 1.128 7.980 1.190 1.90 1.752 2.474 3.494 0.283 238.69 5.82(-7) 1.196 1.054 1.267 94003 34.5235 116727 394
8.5 0.0010 1.195 8.460 1.277 1.13 1.231 1.173 3.545 0.234 117.09 6.40(-7) 1.251 1.030 1.321 67216 30.8853 88060 546
9.0 0.0010 1.251 8.973 1.312 0.58 0.830 0.556 3.609 0.178 49.92 7.00(-7) 1.312 1.080 1.379 66479 27.8152 87909 1237
7.0$^\dag$ 0.0040 0.981 6.937 0.790 5.89 8.127 11.622 3.462 0.356 1225.61 4.09(-7) 1.061 0.892 1.032 148155 49.1023 183915 139
8.0 0.0040 1.049 7.925 0.922 4.10 4.244 6.340 3.472 0.342 664.39 5.13(-7) 1.123 0.831 1.089 102326 35.8242 137539 165
8.5 0.0040 1.122 8.392 1.104 2.30 2.794 2.806 3.525 0.288 315.05 5.63(-7) 1.179 0.820 1.160 70271 31.9257 100520 201
9.0 0.0040 1.203 8.854 1.192 1.14 1.750 1.192 3.637 0.234 118.59 6.45(-7) 1.264 0.873 1.256 66417 28.7878 96660 501
9.5 0.0040 1.255 9.393 1.217 0.59 1.061 0.558 3.663 0.174 50.48 7.08(-7) 1.323 0.957 1.326 68189 26.0318 96229 1115
10.0 0.0040 1.309 9.889 1.276 0.23 0.477 0.221 3.652 0.049 15.70 7.64(-7) 1.377 1.144 1.436 69904 23.7194 90267 4403
8.0 0.0080 1.032 7.805 0.867 4.97 3.430 3.309 3.542 0.296 827.50 4.84(-7) 1.103 0.725 1.017 95173 38.5977 136548 109
9.0 0.0080 1.108 8.737 1.028 2.65 2.643 1.985 3.600 0.252 372.02 5.55(-7) 1.168 0.736 1.102 69568 29.1780 108628 173
9.5 0.0080 1.154 9.159 1.093 1.74 1.248 0.623 3.694 0.186 212.87 6.03(-7) 1.217 0.820 1.162 73879 26.2493 105175 291
10.0 0.0080 1.251 9.786 1.162 0.63 0.440 0.149 3.658 0.027 54.61 7.11(-7) 1.317 0.986 1.290 71485 24.0339 94803 1043
9.0 0.0200 1.063 8.557 0.873 3.59 3.688 4.469 3.410 0.305 505.47 5.45(-7) 1.149 0.476 0.992 80880 29.2259 171370 119
9.5 0.0200 1.123 9.081 0.961 2.21 2.465 2.713 3.499 0.274 279.78 6.09(-7) 1.194 0.656 1.061 67994 26.2756 116959 209
10.0 0.0200 1.188 9.656 1.040 1.23 1.772 1.337 3.690 0.226 120.62 6.86(-7) 1.268 0.681 1.141 65573 23.8309 116983 437
10.5 0.0200 1.254 10.217 1.121 0.56 1.159 0.568 3.681 0.176 46.62 7.40(-7) 1.332 0.924 1.239 79394 21.7774 107040 1090
9.0 0.0400 1.032 8.330 0.556 4.24 3.456 6.452 3.313 0.339 641.22 5.48(-7) 1.116 0.449 0.869 72683 27.6345 145378 98
9.5 0.0400 1.109 8.922 0.902 2.26 1.543 2.768 3.370 0.271 271.14 6.39(-7) 1.191 0.534 0.975 63440 24.7912 123625 180

Notes. $^\dag$ These models do not ignite carbon.
The description of the variables is given at the end of Sect. 3.3.


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