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Table 1

Predicted number of counts assuming solar metallicy and auxiliary relations.

Spectral type M I,CBK08 M I,BT−Settl Count s CBK08 Count s BT−Settl T eff (GBPGRP)

M3–4 V 9.07 10.24 1.6 × 107 5.7 × 106 3269 2.86
M4–5 V 10.14 10.86 5.4 × 106 2.4 × 106 3065 3.33
M5–6 V 11.91 11.39 3.4 × 105 7.0 × 105 2889 3.74
M6–7 V 12.90 11.92 4.3 × 104 1.7 × 105 2731 4.10
M7–8 V 14.16 12.47 3.0 × 103 3.0 × 104 2583 4.44
M8–9 V 14.68 13.05 1.0 × 103 9.4 × 103 2441 4.77
M9–L0 V 15.23 13.66 3.0 × 102 2.5 × 103 2303 5.03
L0–1 V 15.27 14.30 2.3 × 102 8.4 × 102 2166 5.07
L1–2 V 15.69 14.95 1.7 × 102 4.9 × 102 2032 5.10
L2–3 V 16.19 15.44 1.0 × 102 2.9 × 102 1902 5.62
L3–4 V 16.67 15.87 5.4 × 101 1.3 × 102 1777 5.35
L4–5 V 17.14 16.38 3.2 × 101 7.2 × 101 1660 5.15
L5–6 V 17.61 16.97 1.8 × 101 4.3 × 101 1554 8.02
L6–7 V 18.07 17.57 8.7 1.8 × 101 1460 9.05
L7–8 V 18.52 18.09 3.7 6.8 1381 9.85
L8–9 V 18.90 18.49 1.5 2.7 1318 10.38
L9–T0 V 18.95 18.78 9.4 × 10-1 1.1 1270 10.81
T0–1 V 19.01 18.97 6.1 × 10-1 6.1 × 10-1 1237 11.17
T1–2 V 19.04 19.10 6.4 × 10-1 5.5 × 10-1 1214 11.44
T2–3 V 19.04 19.19 1.1 8.0 × 10-1 1196 11.64
T3–4 V 19.07 19.29 2.0 1.3 1176 11.84
T4–5 V 19.22 19.44 2.9 1.9 1144 12.15
T5–6 V 19.61 19.68 2.6 2.1 1086 12.61
T6–7 V 20.35 20.05 1.2 1.8 986 12.99
T7–8 V 21.60 20.62 4.0 × 10-1 1.4 824 12.46

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