Table 2: The pulsation models.
L/$L_{\odot }$ M/$M_{\odot }$ $M_{\rm c}$/$M_{\odot }$ $\ell$/$H_{\rm p}$ log  $T_{\rm eff}$ P0 P1 P2 P3
RGB - no mass loss
794 0.9000 0.4002 1.80 3.5987 27.6 18.1 12.5 9.6
1000 0.9000 0.4136 1.80 3.5906 36.1 23.2 15.8 12.3
1259 0.9000 0.4274 1.80 3.5818 47.7 29.8 20.1 16.2
1585 0.9000 0.4417 1.80 3.5724 64.0 38.2 25.6 21.8
1995 0.9000 0.4565 1.80 3.5621 87.3 49.2 33.1 29.4
2239 0.9000 0.4640 1.80 3.5567 102.6 56.0 38.2 34.0
AGB - no mass loss
794 0.9000 0.4737 1.80 3.6034 26.5 17.3 11.9 9.2
1000 0.9000 0.4783 1.80 3.5948 34.8 22.2 15.2 11.8
1259 0.9000 0.4841 1.80 3.5857 46.2 28.6 19.3 15.7
1585 0.9000 0.4913 1.80 3.5760 62.1 36.9 24.7 21.2
1995 0.9000 0.5005 1.80 3.5656 84.8 47.6 32.1 28.5
2512 0.9000 0.5120 1.80 3.5546 117.7 61.6 43.0 37.8
3162 0.9000 0.5265 1.80 3.5427 166.8 79.9 59.8 48.9
3981 0.9000 0.5448 1.80 3.5304 242.8 104.2 84.9 63.4
RGB - with mass loss
794 0.8441 0.4002 1.90 3.6034 27.5 18.1 12.5 9.6
1000 0.8340 0.4136 1.90 3.5949 36.5 23.4 16.0 12.7
1259 0.8166 0.4274 1.90 3.5853 49.5 30.5 20.6 17.3
1585 0.7915 0.4417 1.90 3.5746 69.2 40.0 27.2 24.2
1995 0.7679 0.4565 1.90 3.5629 98.7 52.7 37.4 32.7
2239 0.7628 0.4640 1.90 3.5572 117.7 60.2 44.3 37.3
AGB - with mass loss
794 0.7371 0.4737 1.90 3.6045 29.9 19.1 13.1 10.5
1000 0.7344 0.4783 1.90 3.5956 39.9 24.6 16.7 14.1
1259 0.7301 0.4841 1.90 3.5862 53.9 31.7 21.5 19.0
1585 0.7244 0.4913 1.90 3.5762 74.0 40.9 28.5 25.3
1995 0.7118 0.5005 1.90 3.5654 104.6 53.2 39.4 32.9
2512 0.6903 0.5120 1.90 3.5539 154.2 70.0 56.8 42.8
3162 0.6567 0.5265 1.90 3.5441 237.1 93.6 81.9 57.0
3981 0.6057 0.5448 1.90 3.5478 321.2 123.2 99.9 74.1
4217 0.5904 0.5500 1.90 3.5571 320.6 124.6 96.1 73.9
4467 0.5743 0.5556 1.90 3.5789 291.6 113.7 81.3 66.7
4571 0.5675 0.5579 1.90 3.6012 266.7 98.6 67.0 57.3
Notes:   $\ell$/$H_{\rm p}$ is the ratio of mixing-length to pressure scale height. P0, P1, P2 and P3
are the linear periods (in days) of the fundamental, 1st, 2nd and 3rd overtone modes.


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