WR128 | WN2–5w | II91 |  3.3${}_{-0.2}^{+0.3}$ |  1.4$\pm$0.1 |  5.34${}_{-0.08}^{+0.08}$ | a |  –10.55${}_{-0.09}^{+0.08}$ | 1900 |  01.7${}_{-0.4}^{+0.5}$ |  0.20${}_{-0.02}^{+0.02}$ | $\cdots$ | $\cdots$ | $\cdots$ | 0.26 |  0.11${}_{-0.01}^{+0.00}$ | 0.03 | 0.00 |  0.23${}_{-0.01}^{+0.02}$ |  0.13${}_{-0.01}^{+0.01}$
WR131 | WN5–7h | II96+WI94 |  8.2${}_{-0.7}^{+1.0}$ |  4.3$\pm$0.4 |  6.17${}_{-0.19}^{+0.20}$ | a |  –11.97${}_{-0.05}^{+0.04}$ |  0800 |  11.0${}_{-4.5}^{+7.1}$ |  0.19${}_{-0.04}^{+0.05}$ | $\cdots$ |  0.10${}_{-0.00}^{+0.01}$ |  0.29${}_{-0.02}^{+0.02}$ | 0.35 |  0.06${}_{-0.00}^{+0.01}$ | 0.03 |  0.05${}_{-0.01}^{+0.00}$ | $\cdots$ | $\cdots$
WR133 | WN2–5w+O | II91 |  1.8${}_{-0.1}^{+0.0}$ |  1.2$\pm$0.1 | $\cdots$ | b |  –9.66${}_{-0.09}^{+0.08}$ | 1700 |  03.0${}_{-0.7}^{+0.8}$ | $\cdots$ | $\cdots$ | $\cdots$ | $\cdots$ | 0.14 |  0.10${}_{-0.00}^{+0.01}$ | 0.12 | 0.00 |  0.20${}_{-0.01}^{+0.01}$ |  0.24${}_{-0.02}^{+0.01}$
WR134 | WN3–7s | II91 |  1.9${}_{-0.1}^{+0.0}$ |  1.9$\pm$0.2 |  5.67${}_{-0.08}^{+0.09}$ | a |  –9.14${}_{-0.09}^{+0.08}$ | 2600 |  25.9${}_{-7.2}^{+8.1}$ |  1.43${}_{-0.12}^{+0.14}$ |  0.55${}_{-0.03}^{+0.03}$ |  — 0.43${}_{-0.01}^{+0.02}$ — | 0.16 |  0.13${}_{-0.00}^{+0.01}$ |  0.06${}_{-0.01}^{+0.00}$ | 0.04 |  0.16${}_{-0.02}^{+0.01}$ |  0.20${}_{-0.01}^{+0.02}$
WR136 | WN3–7s | II91 |  1.7${}_{-0.1}^{+0.0}$ |  1.7$\pm$0.2 |  5.68${}_{-0.08}^{+0.07}$ | a |  –8.92${}_{-0.10}^{+0.07}$ | 1900 |  27.2${}_{-7.2}^{+7.9}$ |  1.49${}_{-0.11}^{+0.12}$ |  0.33${}_{-0.02}^{+0.02}$ |  — 0.56${}_{-0.01}^{+0.02}$ — | 0.34 |  0.15${}_{-0.01}^{+0.00}$ |  0.05${}_{-0.01}^{+0.00}$ | 0.06 |  0.24${}_{-0.02}^{+0.01}$ |  0.18${}_{-0.02}^{+0.01}$
WR138 | WN2–5w+O | II91 |  2.2$\pm$0.1 |  1.9$\pm$0.2 | $\cdots$ | b |  –9.84${}_{-0.09}^{+0.08}$ | 1400 |  07.2${}_{-2.0}^{+2.3}$ | $\cdots$ | $\cdots$ |  0.19${}_{-0.00}^{+0.01}$ |  0.21${}_{-0.00}^{+0.01}$ |  0.28${}_{-0.00}^{+0.01}$ |  0.15${}_{-0.00}^{+0.01}$ |  0.07${}_{-0.00}^{+0.01}$ | 0.05 |  0.29${}_{-0.02}^{+0.02}$ |  0.28${}_{-0.03}^{+0.02}$
WR138-1 | WN9–11 | II13 |  7.0${}_{-0.6}^{+0.8}$ |  7.0${}_{-0.7}^{+0.7}$ | $\cdots$ | b |  –13.68${}_{-0.10}^{+0.08}$ |  0500 |  03.3${}_{-1.9}^{+4.0}$ | $\cdots$ | $\cdots$ | 0.00 |  1.25${}_{-0.12}^{+0.14}$ |  1.17${}_{-0.01}^{+0.02}$ |  0.07${}_{-0.01}^{+0.01}$ | 0.00 |  1.04${}_{-0.19}^{+0.22}$ |  1.59${}_{-0.28}^{+0.40}$ |  0.01${}_{-0.00}^{+0.01}$
WR139 | WN2–5w+O | II91 |  1.4${}_{-0.1}^{+0.0}$ |  2.5${}_{-0.2}^{+0.3}$ | $\cdots$ | b |  –9.93${}_{-0.10}^{+0.08}$ | 1600 |  04.5${}_{-1.4}^{+1.8}$ | $\cdots$ | $\cdots$ | $\cdots$ | $\cdots$ | 0.25 |  0.14${}_{-0.01}^{+0.01}$ |  0.14${}_{-0.01}^{+0.01}$ | 0.05 |  0.21${}_{-0.02}^{+0.02}$ |  0.28${}_{-0.03}^{+0.04}$
WR141 | WN2–5w+O | II91 |  1.9${}_{-0.1}^{+0.0}$ |  3.7${}_{-0.4}^{+0.3}$ | $\cdots$ | b |  –10.27${}_{-0.09}^{+0.08}$ | 1700 |  14.0${}_{-5.5}^{+7.6}$ | $\cdots$ | $\cdots$ | $\cdots$ | $\cdots$ | 0.25 |  0.12${}_{-0.00}^{+0.01}$ |  0.08${}_{-0.01}^{+0.00}$ |  0.04${}_{-0.00}^{+0.01}$ |  0.13${}_{-0.02}^{+0.01}$ |  0.13${}_{-0.02}^{+0.03}$
WR147 | WN6–8+B | II96 |  1.7${}_{-0.1}^{+0.1}$ |  10.7$\pm$1.1 |  6.58${}_{-0.44}^{+0.43}$ | a |  –13.43${}_{-0.05}^{+0.04}$ |  0700 |  20.1${}_{-14.4}^{+47.0}$ |  0.14${}_{-0.05}^{+0.07}$ | $\cdots$ |  0.06${}_{-0.01}^{+0.01}$ |  0.54${}_{-0.08}^{+0.09}$ |  0.86${}_{-0.02}^{+0.02}$ |  0.11${}_{-0.02}^{+0.03}$ |  0.02${}_{-0.01}^{+0.00}$ |  0.81${}_{-0.21}^{+0.27}$ |  0.60${}_{-0.20}^{+0.32}$ | $\cdots$
WR148 | WN6–8 | II91 |  8.1$\pm$0.7 |  3.0$\pm$0.3 |  6.25${}_{-0.14}^{+0.15}$ | a |  –11.27${}_{-0.10}^{+0.08}$ |  0600 |  12.6${}_{-4.5}^{+5.8}$ |  0.18${}_{-0.03}^{+0.04}$ | $\cdots$ |  0.09${}_{-0.01}^{+0.00}$ |  0.38${}_{-0.02}^{+0.01}$ | 0.51 |  0.07${}_{-0.00}^{+0.01}$ | 0.03 |  0.16${}_{-0.01}^{+0.01}$ |  0.38${}_{-0.04}^{+0.07}$ | $\cdots$
Table 10: continued Star | Category | Data | $d$ | $A_{\rm V}$ | $\log$ | Ref | $\log F_{\rm HeII~{}4686}$ | HeII 4686 | $L_{\rm HeII~{}4686}$ | $\underline{L_{\rm NIV~{}3478,85}}$ | $\underline{L_{\rm NIV~{}4058}}$ | $\underline{L_{4100}}$ | $\underline{L_{4630}}$ | $\underline{L_{\rm HeII~{}5412}}$ | $\underline{L_{\rm CIV~{}5801,12}}$ | $\underline{L_{\rm HeI~{}5876}}$ | $\underline{L_{{\rm H}\alpha}}$ | $\underline{L_{\rm NIV~{}7103,29}}$
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---
|  | ID | kpc | mag | $L_{\rm Bol}/L_{\odot}$ |  |  erg s-1 cm-2 | FWHM |  1035 erg s-1 | $10^{-3}L_{\rm Bol}$ | $L_{\rm HeII~{}4686}$ | $L_{\rm HeII~{}4686}$ | $L_{\rm HeII~{}4686}$ | $L_{\rm HeII~{}4686}$ | $L_{\rm HeII~{}4686}$ | $L_{\rm HeII~{}4686}$ | $L_{\rm HeII~{}4686}$ | $L_{\rm HeII~{}4686}$ | $L_{\rm HeII~{}4686}$
WR149 | WN2–5w | II13 |  5.3${}_{-0.3}^{+0.4}$ |  5.3${}_{-0.5}^{+0.6}$ |  5.48${}_{-0.22}^{+0.22}$ | a |  –12.20${}_{-0.09}^{+0.08}$ | 1300 |  08.5${}_{-4.2}^{+7.2}$ |  0.73${}_{-0.15}^{+0.18}$ | $\cdots$ |  0.20${}_{-0.02}^{+0.01}$ |  0.23${}_{-0.02}^{+0.02}$ |  0.21${}_{-0.00}^{+0.00}$ |  0.13${}_{-0.02}^{+0.01}$ |  0.09${}_{-0.01}^{+0.01}$ |  0.04${}_{-0.00}^{+0.01}$ |  0.13${}_{-0.03}^{+0.02}$ |  0.16${}_{-0.04}^{+0.04}$
WR152 | WN2–5w | II91 |  3.5${}_{-0.2}^{+0.3}$ |  1.9$\pm$0.2 |  5.46${}_{-0.09}^{+0.09}$ | a |  –10.96${}_{-0.10}^{+0.08}$ | 2000 |  01.4${}_{-0.4}^{+0.5}$ |  0.13${}_{-0.01}^{+0.02}$ | $\cdots$ | 0.00 | 0.04 | 0.34 | 0.09 | 0.01 | 0.00 |  0.18${}_{-0.01}^{+0.01}$ |  0.04${}_{-0.01}^{+0.00}$
WR155 | WN6–8+O | II91 |  2.7$\pm$0.1 |  2.2$\pm$0.2 | $\cdots$ | b |  –10.42${}_{-0.10}^{+0.08}$ | 1200 |  04.1${}_{-1.2}^{+1.4}$ | $\cdots$ | $\cdots$ | $\cdots$ | $\cdots$ |  0.44${}_{-0.01}^{+0.00}$ |  0.09${}_{-0.01}^{+0.00}$ | 0.05 |  0.06${}_{-0.00}^{+0.01}$ |  0.30${}_{-0.02}^{+0.03}$ |  0.13${}_{-0.01}^{+0.01}$
WR156 | WN6–8 | II91 |  3.3${}_{-0.1}^{+0.2}$ |  4.6${}_{-0.5}^{+0.4}$ |  5.81${}_{-0.18}^{+0.19}$ | a |  –11.61${}_{-0.10}^{+0.07}$ |  0500 |  05.5${}_{-2.5}^{+3.9}$ |  0.22${}_{-0.03}^{+0.04}$ | $\cdots$ | $\cdots$ | $\cdots$ |  2.02${}_{-0.02}^{+0.02}$ |  0.05${}_{-0.00}^{+0.01}$ |  0.03${}_{-0.00}^{+0.01}$ |  0.45${}_{-0.05}^{+0.06}$ |  1.27${}_{-0.21}^{+0.25}$ | $\cdots$
WR157 | WN2–5w | II91 |  2.8${}_{-0.1}^{+0.2}$ |  2.8$\pm$0.3 | $\cdots$ | b |  –10.53${}_{-0.10}^{+0.08}$ | 1300 |  06.6${}_{-2.3}^{+2.8}$ | $\cdots$ | $\cdots$ | $\cdots$ | $\cdots$ | 0.22 |  0.16${}_{-0.01}^{+0.00}$ | $\cdots$ | $\cdots$ | $\cdots$ | $\cdots$
BAT99-1 | WN3–7s | NE |  49.6$\pm$1.0 |  0.5${}_{-0.0}^{+0.1}$ |  5.29${}_{-0.02}^{+0.03}$ | g |  –12.19${}_{-0.04}^{+0.04}$ | 2000 |  03.4${}_{-0.4}^{+0.4}$ |  0.45${}_{-0.01}^{+0.02}$ | ‡0.13 | 0.00 | 0.05 | 0.18 | 0.14 | 0.01 | 0.00 | 0.19 | 0.00
BAT99-3 | WN3–7s | NE |  49.6$\pm$1.0 |  0.5${}_{-0.1}^{+0.0}$ |  5.50${}_{-0.02}^{+0.03}$ | g |  –11.77${}_{-0.05}^{+0.04}$ | 2000 |  08.2${}_{-0.9}^{+0.9}$ |  0.67${}_{-0.02}^{+0.02}$ |  ‡0.66${}_{-0.02}^{+0.01}$ | 0.03 | 0.08 | 0.17 | 0.14 | 0.05 | 0.02 |  0.16${}_{-0.01}^{+0.00}$ |  0.08${}_{-0.01}^{+0.00}$
BAT99-5 | WN2–5w | NE |  49.6$\pm$1.0 |  1.0$\pm$0.1 |  5.44${}_{-0.04}^{+0.05}$ | g |  –12.72${}_{-0.05}^{+0.04}$ | 2400 |  01.7${}_{-0.2}^{+0.3}$ |  0.16${}_{-0.01}^{+0.01}$ | $\cdots$ | 0.00 |  0.04${}_{-0.00}^{+0.01}$ | 0.04 |  0.15${}_{-0.01}^{+0.00}$ | 0.00 | 0.00 |  0.17${}_{-0.00}^{+0.01}$ | 0.00
BAT99-7 | WN3–7s | NE |  49.6$\pm$1.0 |  0.3$\pm$0.0 |  5.83${}_{-0.02}^{+0.02}$ | g |  –11.11${}_{-0.05}^{+0.04}$ | 3800 |  31.7${}_{-3.4}^{+3.4}$ |  1.21${}_{-0.03}^{+0.03}$ |  ‡0.30${}_{-0.01}^{+0.00}$ | 0.00 |  0.05${}_{-0.01}^{+0.00}$ | 0.09 | 0.11 | 0.03 | 0.00 |  0.15${}_{-0.01}^{+0.00}$ | 0.02
BAT99-13 | WN9–11 | AR+SC |  49.6$\pm$1.0 |  0.8${}_{-0.1}^{+0.0}$ |  5.55${}_{-0.03}^{+0.04}$ | g |  –12.98${}_{-0.05}^{+0.04}$ |  0200 |  0.7${}_{-0.1}^{+0.1}$ |  0.05${}_{-0.00}^{+0.00}$ | $\cdots$ | 0.00 |  3.7${}_{-0.1}^{+0.0}$ | 2.4 | 0.01 | 0.00 |  3.3${}_{-0.0}^{+0.0}$ |  11.1${}_{-0.3}^{+0.3}$ | $\cdots$
BAT99-15 | WN3–7s | NE |  49.6$\pm$1.0 |  0.3$\pm$0.0 |  5.56${}_{-0.02}^{+0.02}$ | g |  –11.53${}_{-0.04}^{+0.04}$ | 2200 |  12.2${}_{-1.3}^{+1.3}$ |  0.87${}_{-0.02}^{+0.02}$ |  ‡0.55${}_{-0.01}^{+0.01}$ | 0.04 | 0.12 | 0.16 | 0.13 | 0.07 | 0.03 |  0.16${}_{-0.01}^{+0.00}$ | 0.07
BAT99-16 | WN6–8 | AR+SC |  49.6$\pm$1.0 |  0.3${}_{-0.0}^{+0.1}$ |  5.79${}_{-0.02}^{+0.02}$ | g |  –11.61${}_{-0.04}^{+0.05}$ |  0700 |  10.6${}_{-1.1}^{+1.2}$ |  0.44${}_{-0.01}^{+0.02}$ |  ‡0.16${}_{-0.00}^{+0.01}$ | 0.23 |  0.50${}_{-0.00}^{+0.01}$ | 0.54 | 0.10 | 0.04 |  0.19${}_{-0.01}^{+0.00}$ |  0.51${}_{-0.00}^{+0.01}$ | $\cdots$
BAT99-17 | WN2–5w+B | NE |  49.6$\pm$1.0 |  0.4${}_{-0.1}^{+0.0}$ |  5.63${}_{-0.02}^{+0.03}$ | h |  –11.78${}_{-0.04}^{+0.04}$ | 1800 |  07.4${}_{-0.8}^{+0.8}$ |  0.45${}_{-0.01}^{+0.01}$ |  ‡0.75${}_{-0.01}^{+0.02}$ | 0.08 | 0.10 | 0.18 | 0.13 | 0.07 | 0.01 |  0.15${}_{-0.00}^{+0.01}$ | 0.10
BAT99-18 | WN2–5w | NE |  49.6$\pm$1.0 |  0.4${}_{-0.1}^{+0.0}$ |  5.62${}_{-0.02}^{+0.03}$ | g |  –12.00${}_{-0.05}^{+0.04}$ | 1800 |  04.5${}_{-0.5}^{+0.5}$ |  0.28${}_{-0.01}^{+0.00}$ |  ‡0.80${}_{-0.02}^{+0.01}$ | 0.09 | 0.11 | 0.18 |  0.10${}_{-0.00}^{+0.01}$ | 0.03 | 0.00 | 0.20 | 0.07
BAT99-22 | WN9–11 | AR+SC |  49.6$\pm$1.0 |  0.5${}_{-0.1}^{+0.0}$ |  5.74${}_{-0.02}^{+0.03}$ | g |  –12.17${}_{-0.05}^{+0.04}$ |  0300 |  03.4${}_{-0.4}^{+0.4}$ |  0.16${}_{-0.01}^{+0.01}$ | ‡0.00 | 0.00 |  1.18${}_{-0.01}^{+0.01}$ | 1.52 | 0.00 | 0.03 |  0.77${}_{-0.01}^{+0.01}$ |  3.27${}_{-0.06}^{+0.06}$ | $\cdots$
BAT99-23 | WN2–5w | NE |  49.6$\pm$1.0 |  2.3${}_{-0.3}^{+0.2}$ |  5.54${}_{-0.09}^{+0.09}$ | g |  –13.20${}_{-0.05}^{+0.04}$ | 1800 |  02.2${}_{-0.5}^{+0.7}$ |  0.17${}_{-0.02}^{+0.01}$ | $\cdots$ |  0.08${}_{-0.01}^{+0.00}$ |  0.19${}_{-0.01}^{+0.01}$ | 0.25 | 0.10 | 0.00 | 0.00 |  0.26${}_{-0.02}^{+0.02}$ |  0.04${}_{-0.01}^{+0.00}$
BAT99-24 | WN3–7s | NE |  49.6$\pm$1.0 |  0.4${}_{-0.1}^{+0.0}$ |  5.53${}_{-0.02}^{+0.03}$ | g |  –11.51${}_{-0.05}^{+0.04}$ | 2600 |  13.7${}_{-1.5}^{+1.5}$ |  1.04${}_{-0.03}^{+0.03}$ |  ‡0.54${}_{-0.01}^{+0.01}$ | 0.04 | 0.11 | 0.14 | 0.13 | 0.04 | 0.02 |  0.15${}_{-0.00}^{+0.01}$ | 0.09
BAT99-25 | WN2–5w | NE |  49.6$\pm$1.0 |  0.6${}_{-0.1}^{+0.0}$ |  5.54${}_{-0.03}^{+0.03}$ | g |  –12.71${}_{-0.04}^{+0.05}$ | 1700 |  01.1${}_{-0.1}^{+0.1}$ |  0.08${}_{-0.00}^{+0.00}$ | $\cdots$ | 0.07 | 0.00 | 0.11 | 0.08 | 0.01 | 0.00 |  0.30${}_{-0.01}^{+0.00}$ | 0.06
BAT99-26 | WN3–7s | NE |  49.6$\pm$1.0 |  0.5${}_{-0.0}^{+0.1}$ |  5.61${}_{-0.02}^{+0.03}$ | g |  –11.78${}_{-0.05}^{+0.04}$ | 1800 |  08.7${}_{-1.0}^{+1.0}$ |  0.55${}_{-0.02}^{+0.02}$ |  ‡0.83${}_{-0.02}^{+0.02}$ | 0.07 | 0.11 | 0.18 | 0.13 |  0.09${}_{-0.01}^{+0.00}$ | 0.01 | 0.13 |  0.10${}_{-0.00}^{+0.01}$
BAT99-30 | WN6–8 | AR |  49.6$\pm$1.0 |  0.3${}_{-0.1}^{+0.0}$ |  5.64${}_{-0.02}^{+0.02}$ | g |  –11.76${}_{-0.05}^{+0.04}$ | 1000 |  06.8${}_{-0.7}^{+0.7}$ |  0.40${}_{-0.01}^{+0.01}$ |  ‡0.29${}_{-0.01}^{+0.00}$ | 0.20 | 0.39 | 0.28 | 0.10 | 0.05 | 0.05 |  ‡0.50${}_{-0.00}^{+0.01}$ | $\cdots$
BAT99-31 | WN3–7s | NE |  49.6$\pm$1.0 |  0.6${}_{-0.0}^{+0.1}$ |  5.32${}_{-0.03}^{+0.03}$ | g |  –12.08${}_{-0.05}^{+0.04}$ | 2000 |  04.9${}_{-0.6}^{+0.6}$ |  0.61${}_{-0.02}^{+0.02}$ |  ‡0.57${}_{-0.01}^{+0.02}$ | 0.05 | 0.10 | 0.19 |  0.13${}_{-0.01}^{+0.00}$ |  0.07${}_{-0.01}^{+0.00}$ | 0.01 |  0.27${}_{-0.01}^{+0.00}$ | 0.08
BAT99-32 | WN6–8+O | AR+SC |  49.6$\pm$1.0 |  0.3$\pm$0.0 |  5.93${}_{-0.02}^{+0.02}$ | g |  –11.36${}_{-0.05}^{+0.04}$ | 1400 |  17.9${}_{-1.9}^{+1.9}$ |  0.54${}_{-0.01}^{+0.01}$ | ‡0.36 | 0.19 | 0.26 | 0.14 | 0.12 | 0.03 | 0.04 |  0.24${}_{-0.00}^{+0.01}$ | $\cdots$
BAT99-35 | WN2–5w | NE |  49.6$\pm$1.0 |  0.4${}_{-0.0}^{+0.1}$ |  5.59${}_{-0.02}^{+0.03}$ | g |  –11.97${}_{-0.05}^{+0.04}$ | 1800 |  04.9${}_{-0.5}^{+0.6}$ |  0.33${}_{-0.01}^{+0.01}$ |  ‡0.80${}_{-0.01}^{+0.02}$ | 0.03 | 0.07 | 0.23 | 0.13 | 0.01 | 0.00 | 0.19 | 0.06
BAT99-37 | WN2–5w | NE |  49.6$\pm$1.0 |  1.9$\pm$0.2 |  5.64${}_{-0.07}^{+0.08}$ | g |  –12.62${}_{-0.05}^{+0.04}$ | 2000 |  05.6${}_{-1.2}^{+1.4}$ |  0.33${}_{-0.02}^{+0.03}$ | $\cdots$ |  0.04${}_{-0.01}^{+0.00}$ |  0.09${}_{-0.00}^{+0.01}$ | 0.25 |  0.12${}_{-0.01}^{+0.00}$ | 0.02 | 0.00 |  0.14${}_{-0.00}^{+0.02}$ | 0.03
BAT99-40 | WN2–5w+O | NE |  49.6$\pm$1.0 |  0.6${}_{-0.1}^{+0.0}$ |  5.61${}_{-0.03}^{+0.03}$ | g |  –12.34${}_{-0.05}^{+0.04}$ | 1600 |  02.5${}_{-0.3}^{+0.3}$ |  0.16${}_{-0.01}^{+0.01}$ |  ‡0.63${}_{-0.02}^{+0.02}$ | 0.06 | 0.12 |  0.08${}_{-0.00}^{+0.01}$ | 0.08 |  0.08${}_{-0.00}^{+0.01}$ | 0.00 |  0.23${}_{-0.01}^{+0.00}$ | 0.07
BAT99-41 | WN3–7s | NE |  49.6$\pm$1.0 |  0.5${}_{-0.1}^{+0.0}$ |  5.59${}_{-0.02}^{+0.03}$ | g |  –11.82${}_{-0.05}^{+0.04}$ | 1600 |  07.3${}_{-0.8}^{+0.8}$ |  0.48${}_{-0.01}^{+0.02}$ | ‡0.07 | 0.04 |  0.10${}_{-0.00}^{+0.01}$ | 0.18 |  0.13${}_{-0.00}^{+0.01}$ | 0.08 | 0.01 | 0.14 | 0.10
BAT99-44 | WN6–8 | AR |  49.6$\pm$1.0 |  0.5${}_{-0.1}^{+0.0}$ |  5.65${}_{-0.02}^{+0.03}$ | g |  –12.13${}_{-0.05}^{+0.04}$ |  0900 |  03.6${}_{-0.4}^{+0.4}$ |  0.21${}_{-0.01}^{+0.00}$ |  ‡0.15${}_{-0.00}^{+0.01}$ | 0.18 |  0.63${}_{-0.01}^{+0.01}$ | 0.74 | 0.08 | 0.04 | 0.19 |  ‡1.01${}_{-0.02}^{+0.02}$ | $\cdots$
BAT99-45 | WN9–11 | AR+SC |  49.6$\pm$1.0 |  0.3${}_{-0.0}^{+0.0}$ |  5.75${}_{-0.02}^{+0.02}$ | l |  –12.40${}_{-0.05}^{+0.05}$ |  0200 |  1.6${}_{-0.2}^{+0.2}$ |  0.07${}_{-0.00}^{+0.01}$ | $\cdots$ | 0.03 |  2.2${}_{-0.0}^{+0.0}$ | 2.3 | 0.05 | 0.00 | 2.8 |  6.8${}_{-0.1}^{+0.0}$ | $\cdots$
BAT99-46 | WN2–5w | NE |  49.6$\pm$1.0 |  0.8$\pm$0.1 |  5.43${}_{-0.03}^{+0.04}$ | g |  –12.27${}_{-0.04}^{+0.04}$ | 1700 |  03.8${}_{-0.5}^{+0.5}$ |  0.36${}_{-0.01}^{+0.02}$ |  ‡0.78${}_{-0.03}^{+0.03}$ | 0.05 |  0.11${}_{-0.01}^{+0.00}$ | 0.16 |  0.12${}_{-0.00}^{+0.01}$ | 0.03 | 0.01 |  0.17${}_{-0.01}^{+0.00}$ | 0.10
BAT99-47 | WN3–7s | NE |  49.6$\pm$1.0 |  0.8${}_{-0.1}^{+0.0}$ |  5.58${}_{-0.03}^{+0.04}$ | g |  –12.00${}_{-0.05}^{+0.04}$ | 1600 |  06.8${}_{-0.9}^{+0.9}$ |  0.46${}_{-0.02}^{+0.02}$ | $\cdots$ | 0.01 | 0.07 |  0.19${}_{-0.00}^{+0.01}$ | 0.13 | 0.02 | 0.00 |  0.13${}_{-0.00}^{+0.01}$ | 0.02
BAT99-48 | WN3–7s | NE |  49.6$\pm$1.0 |  0.4${}_{-0.1}^{+0.0}$ |  5.39${}_{-0.02}^{+0.03}$ | g |  –11.74${}_{-0.05}^{+0.05}$ | 2000 |  08.0${}_{-0.9}^{+0.9}$ |  0.84${}_{-0.02}^{+0.03}$ |  ‡0.70${}_{-0.01}^{+0.01}$ | 0.03 | 0.09 | 0.19 | 0.13 |  0.08${}_{-0.01}^{+0.00}$ | 0.02 |  0.14${}_{-0.01}^{+0.00}$ | 0.08
BAT99-50 | WN2–5w | NE |  49.6$\pm$1.0 |  0.7${}_{-0.1}^{+0.0}$ |  5.64${}_{-0.03}^{+0.03}$ | g |  –12.54${}_{-0.04}^{+0.04}$ | 1200 |  01.8${}_{-0.2}^{+0.2}$ |  0.11${}_{-0.01}^{+0.00}$ | $\cdots$ | 0.27 | 0.20 | 0.05 | 0.07 | 0.03 | 0.00 |  0.27${}_{-0.01}^{+0.01}$ |  0.15${}_{-0.01}^{+0.00}$
BAT99-51 | WN3–7s | NE |  49.6$\pm$1.0 |  0.1${}_{-0.0}^{+0.0}$ |  5.29${}_{-0.01}^{+0.02}$ | g |  –11.91${}_{-0.05}^{+0.04}$ | 2900 |  03.9${}_{-0.4}^{+0.4}$ |  0.52${}_{-0.00}^{+0.01}$ |  ‡0.48${}_{-0.00}^{+0.01}$ | 0.03 | 0.06 | 0.11 | 0.15 | 0.01 | 0.00 | 0.19 | 0.05
BAT99-54 | WN9–11 | AR |  49.6$\pm$1.0 |  1.9$\pm$0.2 |  5.74${}_{-0.07}^{+0.08}$ | g |  –13.15${}_{-0.05}^{+0.04}$ |  0300 |  01.7${}_{-0.4}^{+0.4}$ |  0.08${}_{-0.01}^{+0.00}$ | $\cdots$ | 0.03 |  0.17${}_{-0.01}^{+0.00}$ | 0.74 | 0.04 | 0.01 |  0.17${}_{-0.01}^{+0.00}$ | $\cdots$ | $\cdots$
BAT99-56 | WN3–7s | NE |  49.6$\pm$1.0 |  0.5${}_{-0.1}^{+0.0}$ |  5.55${}_{-0.02}^{+0.03}$ | g |  –11.80${}_{-0.04}^{+0.05}$ | 1800 |  07.8${}_{-0.9}^{+0.9}$ |  0.56${}_{-0.01}^{+0.02}$ |  ‡0.85${}_{-0.02}^{+0.01}$ | 0.04 | 0.10 | 0.21 | 0.13 | 0.07 | 0.02 | 0.14 | 0.08
Table 10: continued Star | Category | Data | $d$ | $A_{\rm V}$ | $\log$ | Ref | $\log F_{\rm HeII~{}4686}$ | HeII 4686 | $L_{\rm HeII~{}4686}$ | $\underline{L_{\rm NIV~{}3478,85}}$ | $\underline{L_{\rm NIV~{}4058}}$ | $\underline{L_{4100}}$ | $\underline{L_{4630}}$ | $\underline{L_{\rm HeII~{}5412}}$ | $\underline{L_{\rm CIV~{}5801,12}}$ | $\underline{L_{\rm HeI~{}5876}}$ | $\underline{L_{{\rm H}\alpha}}$ | $\underline{L_{\rm NIV~{}7103,29}}$
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---
|  | ID | kpc | mag | $L_{\rm Bol}/L_{\odot}$ |  |  erg s-1 cm-2 | FWHM |  1035 erg s-1 | $10^{-3}L_{\rm Bol}$ | $L_{\rm HeII~{}4686}$ | $L_{\rm HeII~{}4686}$ | $L_{\rm HeII~{}4686}$ | $L_{\rm HeII~{}4686}$ | $L_{\rm HeII~{}4686}$ | $L_{\rm HeII~{}4686}$ | $L_{\rm HeII~{}4686}$ | $L_{\rm HeII~{}4686}$ | $L_{\rm HeII~{}4686}$
BAT99-57 | WN3–7s | NE |  49.6$\pm$1.0 |  0.4${}_{-0.1}^{+0.0}$ |  5.39${}_{-0.02}^{+0.03}$ | g |  –11.80${}_{-0.04}^{+0.04}$ | 1800 |  07.1${}_{-0.8}^{+0.8}$ |  0.75${}_{-0.02}^{+0.02}$ |  ‡0.66${}_{-0.02}^{+0.01}$ | 0.02 |  0.10${}_{-0.01}^{+0.00}$ | 0.20 | 0.13 | 0.07 | 0.01 | 0.15 |  0.07${}_{-0.01}^{+0.00}$
BAT99-58 | WN6–8 | AR |  49.6$\pm$1.0 |  1.9$\pm$0.2 |  5.63${}_{-0.07}^{+0.08}$ | g |  –12.71${}_{-0.04}^{+0.04}$ | 1000 |  04.6${}_{-1.0}^{+1.2}$ |  0.28${}_{-0.02}^{+0.02}$ |  ‡0.21${}_{-0.02}^{+0.01}$ |  0.19${}_{-0.01}^{+0.01}$ |  0.41${}_{-0.02}^{+0.01}$ | 0.36 | 0.10 | 0.06 |  0.06${}_{-0.01}^{+0.00}$ |  ‡0.40${}_{-0.02}^{+0.03}$ | $\cdots$
BAT99-60 | WN2–5w+O | NE |  49.6$\pm$1.0 |  0.4${}_{-0.1}^{+0.0}$ |  5.46${}_{-0.02}^{+0.03}$ | h |  –12.37${}_{-0.05}^{+0.04}$ | 1800 |  01.9${}_{-0.2}^{+0.2}$ |  0.17${}_{-0.01}^{+0.00}$ |  ‡0.75${}_{-0.01}^{+0.02}$ |  0.15${}_{-0.01}^{+0.00}$ | 0.00 | 0.19 | 0.10 | 0.02 | 0.00 |  0.22${}_{-0.00}^{+0.01}$ | 0.03
BAT99-62 | WN2–5w | NE |  49.6$\pm$1.0 |  0.5${}_{-0.1}^{+0.0}$ |  5.40${}_{-0.02}^{+0.03}$ | g |  –12.23${}_{-0.05}^{+0.04}$ | 1800 |  02.8${}_{-0.3}^{+0.4}$ |  0.29${}_{-0.01}^{+0.01}$ |  ‡1.02${}_{-0.02}^{+0.02}$ | 0.01 |  0.09${}_{-0.01}^{+0.00}$ | 0.29 | 0.13 | 0.01 | 0.00 | 0.20 | 0.05
BAT99-63 | WN2–5w | NE |  49.6$\pm$1.0 |  0.4${}_{-0.1}^{+0.0}$ |  5.57${}_{-0.02}^{+0.03}$ | g |  –12.26${}_{-0.04}^{+0.04}$ | 1800 |  02.5${}_{-0.3}^{+0.3}$ |  0.17${}_{-0.00}^{+0.01}$ |  ‡0.70${}_{-0.01}^{+0.02}$ |  0.13${}_{-0.00}^{+0.01}$ |  0.15${}_{-0.01}^{+0.00}$ | 0.12 |  0.09${}_{-0.01}^{+0.00}$ | 0.05 | 0.00 |  0.25${}_{-0.00}^{+0.01}$ |  0.08${}_{-0.01}^{+0.00}$
BAT99-65 | WN2–5w | NE |  49.6$\pm$1.0 |  1.74$\pm$0.2 |  5.74${}_{-0.07}^{+0.07}$ | g |  –12.32${}_{-0.04}^{+0.04}$ | 1800 |  09.2${}_{-1.8}^{+2.1}$ |  0.43${}_{-0.03}^{+0.03}$ | $\cdots$ | 0.05 |  0.10${}_{-0.00}^{+0.01}$ | 0.20 | 0.12 | 0.07 | 0.01 |  0.12${}_{-0.00}^{+0.01}$ |  0.08${}_{-0.01}^{+0.00}$
BAT99-66 | WN2–5w | NE |  49.6$\pm$1.0 |  0.5${}_{-0.1}^{+0.0}$ |  5.77${}_{-0.02}^{+0.03}$ | g |  –12.48${}_{-0.05}^{+0.04}$ | 2000 |  01.7${}_{-0.2}^{+0.2}$ |  0.07${}_{-0.00}^{+0.01}$ | $\cdots$ | 0.00 | 0.08 | 0.35 | 0.12 | 0.01 | 0.00 |  0.24${}_{-0.01}^{+0.00}$ | 0.02
BAT99-67 | WN2–5w | NE |  49.6$\pm$1.0 |  1.2${}_{-0.1}^{+0.2}$ |  5.95${}_{-0.05}^{+0.06}$ | g |  –12.18${}_{-0.05}^{+0.04}$ | 1600 |  07.7${}_{-1.3}^{+1.3}$ |  0.22${}_{-0.01}^{+0.01}$ |  ‡0.55${}_{-0.03}^{+0.03}$ |  0.27${}_{-0.01}^{+0.01}$ |  0.52${}_{-0.01}^{+0.01}$ | 0.00 |  0.13${}_{-0.00}^{+0.01}$ | 0.03 | 0.00 |  0.30${}_{-0.02}^{+0.01}$ |  0.15${}_{-0.00}^{+0.01}$
BAT99-73 | WN2–5w | NE |  49.6$\pm$1.0 |  0.8${}_{-0.1}^{+0.0}$ |  5.71${}_{-0.03}^{+0.04}$ | g |  –12.68${}_{-0.05}^{+0.04}$ | 1300 |  01.4${}_{-0.2}^{+0.2}$ |  0.07${}_{-0.00}^{+0.00}$ | $\cdots$ | 0.22 | 0.13 | 0.00 | 0.08 | 0.03 | 0.00 |  0.32${}_{-0.01}^{+0.01}$ |  0.15${}_{-0.01}^{+0.00}$
BAT99-74 | WN2–5w | NE |  49.6$\pm$1.0 |  0.8${}_{-0.1}^{+0.0}$ |  5.68${}_{-0.03}^{+0.04}$ | g |  –12.82${}_{-0.04}^{+0.05}$ | 2200 |  01.0${}_{-0.1}^{+0.1}$ |  0.06${}_{-0.01}^{+0.00}$ | $\cdots$ | 0.00 | 0.00 | 0.50 | 0.09 | 0.01 | 0.00 |  0.21${}_{-0.00}^{+0.01}$ | 0.00
BAT99-75 | WN2–5w | NE |  49.6$\pm$1.0 |  0.3${}_{-0.1}^{+0.0}$ |  5.55${}_{-0.02}^{+0.02}$ | g |  –11.95${}_{-0.04}^{+0.04}$ | 1700 |  04.4${}_{-0.4}^{+0.5}$ |  0.32${}_{-0.00}^{+0.01}$ | $\cdots$ | 0.11 | 0.17 | 0.18 |  0.14${}_{-0.01}^{+0.00}$ | 0.09 | 0.02 | 0.17 |  0.11${}_{-0.00}^{+0.01}$
BAT99-76 | WN9–11 | AR+SC |  49.6$\pm$1.0 |  1.0$\pm$0.1 |  5.65${}_{-0.04}^{+0.05}$ | g |  –12.55${}_{-0.05}^{+0.04}$ |  0200 |  02.4${}_{-0.3}^{+0.4}$ |  0.14${}_{-0.01}^{+0.01}$ | ‡0.00 | 0.00 |  0.88${}_{-0.02}^{+0.01}$ | 1.07 | 0.01 | 0.01 |  0.57${}_{-0.02}^{+0.01}$ |  1.66${}_{-0.06}^{+0.06}$ | $\cdots$
BAT99-78 | WN2–5w | HF |  49.6$\pm$1.0 |  0.8${}_{-0.1}^{+0.0}$ |  5.69${}_{-0.03}^{+0.04}$ | g |  –13.08${}_{-0.05}^{+0.04}$ | 1500 |  00.6${}_{-0.1}^{+0.0}$ |  0.03${}_{-0.00}^{+0.00}$ |  0.56${}_{-0.01}^{+0.02}$ | 0.11 |  0.15${}_{-0.01}^{+0.00}$ | 0.11 | $\cdots$ | $\cdots$ | $\cdots$ | $\cdots$ | $\cdots$
BAT99-81 | WN2–5w | NE |  49.6$\pm$1.0 |  1.2${}_{-0.1}^{+0.2}$ |  5.47${}_{-0.05}^{+0.06}$ | g |  –12.87${}_{-0.04}^{+0.04}$ | 1100 |  01.6${}_{-0.3}^{+0.3}$ |  0.14${}_{-0.01}^{+0.01}$ | $\cdots$ |  0.43${}_{-0.01}^{+0.01}$ |  0.42${}_{-0.01}^{+0.01}$ | 0.12 | 0.08 |  0.12${}_{-0.00}^{+0.01}$ | 0.00 |  0.35${}_{-0.01}^{+0.02}$ |  0.11${}_{-0.01}^{+0.00}$
BAT99-82 | WN3–7s | NE |  49.6$\pm$1.0 |  1.0$\pm$0.1 |  5.52${}_{-0.04}^{+0.05}$ | g |  –12.30${}_{-0.04}^{+0.04}$ | 2000 |  04.6${}_{-0.7}^{+0.7}$ |  0.36${}_{-0.02}^{+0.01}$ |  ‡0.13${}_{-0.00}^{+0.01}$ | 0.00 | 0.06 | 0.17 | 0.13 | 0.00 | 0.00 |  0.15${}_{-0.01}^{+0.01}$ | $\cdots$
BAT99-86 | WN2–5w | NE |  49.6$\pm$1.0 |  1.4${}_{-0.2}^{+0.1}$ |  5.32${}_{-0.05}^{+0.06}$ | g |  –12.98${}_{-0.04}^{+0.04}$ | 1900 |  01.4${}_{-0.3}^{+0.2}$ |  0.17${}_{-0.01}^{+0.01}$ |  ‡1.25${}_{-0.07}^{+0.08}$ | 0.02 | 0.10 | 0.23 |  0.12${}_{-0.00}^{+0.01}$ | 0.02 | 0.01 |  0.28${}_{-0.02}^{+0.01}$ | 0.02
BAT99-89 | WN6–8 | AR |  49.6$\pm$1.0 |  1.1${}_{-0.2}^{+0.1}$ |  5.77${}_{-0.04}^{+0.05}$ | g |  –11.97${}_{-0.05}^{+0.04}$ | 1100 |  10.0${}_{-1.5}^{+1.6}$ |  0.44${}_{-0.02}^{+0.02}$ | $\cdots$ |  0.17${}_{-0.01}^{+0.00}$ |  0.32${}_{-0.00}^{+0.01}$ | 0.30 | 0.12 |  0.04${}_{-0.01}^{+0.00}$ |  0.10${}_{-0.00}^{+0.01}$ | $\cdots$ | $\cdots$
BAT99-91 | WN6–8 | HF |  49.6$\pm$1.0 |  1.2${}_{-0.2}^{+0.1}$ |  5.41${}_{-0.05}^{+0.06}$ | g |  –12.43${}_{-0.05}^{+0.04}$ |  0900 |  04.3${}_{-0.7}^{+0.7}$ |  0.43${}_{-0.02}^{+0.02}$ |  0.17${}_{-0.01}^{+0.01}$ |  0.16${}_{-0.01}^{+0.00}$ |  0.28${}_{-0.01}^{+0.00}$ |  0.24${}_{-0.01}^{+0.00}$ | $\cdots$ | $\cdots$ | $\cdots$ | $\cdots$ | $\cdots$
BAT99-94 | WN3–7s | NE |  49.6$\pm$1.0 |  1.1$\pm$0.1 |  5.79${}_{-0.04}^{+0.05}$ | g |  –11.69${}_{-0.05}^{+0.04}$ | 3300 |  20.0${}_{-3.0}^{+3.3}$ |  0.83${}_{-0.04}^{+0.05}$ |  ‡0.65${}_{-0.03}^{+0.03}$ | 0.00 | 0.10 | 0.10 | 0.13 | 0.06 | 0.00 |  0.15${}_{-0.00}^{+0.01}$ |  0.09${}_{-0.00}^{+0.01}$
BAT99-95 | WN6–8 | AR+SC |  49.6$\pm$1.0 |  0.9$\pm$0.1 |  5.99${}_{-0.04}^{+0.04}$ | g |  –11.48${}_{-0.04}^{+0.05}$ | 1600 |  27.8${}_{-3.9}^{+4.2}$ |  0.73${}_{-0.03}^{+0.04}$ | $\cdots$ | 0.14 |  0.32${}_{-0.00}^{+0.01}$ | 0.27 |  0.11${}_{-0.01}^{+0.00}$ | 0.02 |  0.13${}_{-0.01}^{+0.00}$ |  0.28${}_{-0.01}^{+0.01}$ | $\cdots$
BAT99-96 | WN6–8 | VM |  49.6$\pm$1.0 |  2.6${}_{-0.2}^{+0.3}$ |  6.34${}_{-0.10}^{+0.11}$ | g |  –12.24${}_{-0.09}^{+0.08}$ |  0900 |  31.3${}_{-10.1}^{+12.3}$ |  0.37${}_{-0.03}^{+0.03}$ | $\cdots$ | $\cdots$ | $\cdots$ |  0.51${}_{-0.00}^{+0.01}$ |  0.10${}_{-0.01}^{+0.00}$ | 0.01 |  0.15${}_{-0.01}^{+0.01}$ |  0.21${}_{-0.02}^{+0.02}$ |  0.05${}_{-0.00}^{+0.01}$
BAT99-97 | Of/WN | VM |  49.6$\pm$1.0 |  2.3${}_{-0.3}^{+0.2}$ |  6.29${}_{-0.09}^{+0.09}$ | g |  –12.83${}_{-0.10}^{+0.08}$ |  0800 |  5.3${}_{-1.6}^{+1.8}$ |  0.07${}_{-0.01}^{+0.01}$ | $\cdots$ | $\cdots$ | $\cdots$ |  0.41${}_{-0.00}^{+0.01}$ | 0.01 | 0.02 | 0.00 |  0.58${}_{-0.4}^{+0.05}$ | $\cdots$
BAT99-98 | WN6–8 | VM |  49.6$\pm$1.0 |  1.5${}_{-0.2}^{+0.1}$ | $\cdots$ | b |  –11.93${}_{-0.10}^{+0.08}$ | 1260 |  17.6${}_{-4.4}^{+4.7}$ | $\cdots$ | $\cdots$ | $\cdots$ | $\cdots$ | 0.21 | 0.08 | 0.02 | 0.02 |  0.35${}_{-0.02}^{+0.02}$ |  0.07${}_{-0.01}^{+0.00}$
BAT99-99 | Of/WN+O | VM |  49.6$\pm$1.0 |  1.1${}_{-0.1}^{+0.1}$ |  5.89${}_{-0.05}^{+0.05}$ | g |  –12.65${}_{-0.09}^{+0.08}$ | 1100 |  02.3${}_{-0.5}^{+0.6}$ |  0.08${}_{-0.01}^{+0.00}$ | $\cdots$ | $\cdots$ | $\cdots$ | 0.19 | 0.01 | 0.08 | 0.00 |  0.82${}_{-0.04}^{+0.03}$ |  0.15${}_{-0.01}^{+0.01}$
BAT99-100 | WN6–8 | HF+VM |  49.6$\pm$1.0 |  1.1${}_{-0.2}^{+0.1}$ |  6.14${}_{-0.04}^{+0.05}$ | g |  –11.52${}_{-0.05}^{+0.04}$ | 1000 |  28.2${}_{-4.2}^{+4.5}$ |  0.53${}_{-0.03}^{+0.02}$ |  0.10${}_{-0.00}^{+0.01}$ | 0.12 |  0.25${}_{-0.00}^{+0.01}$ | 0.25 |  0.10${}_{-0.01}^{+0.00}$ | 0.02 |  0.12${}_{-0.01}^{+0.00}$ |  0.24${}_{-0.01}^{+0.01}$ | 0.04
BAT99-103 | WN6–8+O | VM |  49.6$\pm$1.0 |  0.9$\pm$0.1 |  6.08${}_{-0.04}^{+0.03}$ | h |  –11.67${}_{-0.09}^{+0.08}$ | 1300 |  17.8${}_{-4.0}^{+4.1}$ |  0.38${}_{-0.02}^{+0.03}$ | $\cdots$ | $\cdots$ | $\cdots$ | 0.25 |  0.10${}_{-0.00}^{+0.01}$ | 0.01 | 0.05 |  0.21${}_{-0.01}^{+0.01}$ |  0.07${}_{-0.00}^{+0.01}$
BAT99-104 | Of/WN | VM |  49.6$\pm$1.0 |  1.4${}_{-0.1}^{+0.2}$ |  6.05${}_{-0.06}^{+0.06}$ | g |  –12.74${}_{-0.09}^{+0.08}$ | 1100 |  02.6${}_{-0.6}^{+0.7}$ |  0.06${}_{-0.00}^{+0.00}$ | $\cdots$ | $\cdots$ | $\cdots$ | 0.10 | 0.04 | 0.01 | 0.00 |  0.46${}_{-0.02}^{+0.02}$ |  0.06${}_{-0.01}^{+0.00}$
BAT99-106 | WN5–7h | HF |  49.6$\pm$1.0 |  1.7$\pm$0.2 |  6.52${}_{-0.07}^{+0.07}$ | e |  –11.74${}_{-0.05}^{+0.04}$ | 2000 |  32.4${}_{-6.3}^{+7.2}$ |  0.25${}_{-0.01}^{+0.02}$ |  0.43${}_{-0.02}^{+0.03}$ |  0.22${}_{-0.00}^{+0.01}$ |  0.21${}_{-0.01}^{+0.00}$ | 0.07 |  0.10${}_{-0.01}^{+0.00}$ | 0.04 | 0.00 |  0.40${}_{-0.02}^{+0.02}$ | $\cdots$
BAT99-108 | WN5–7h | HF |  49.6$\pm$1.0 |  1.8$\pm$0.2 |  6.88${}_{-0.07}^{+0.07}$ | e |  –11.61${}_{-0.05}^{+0.04}$ | 2000 |  49.1${}_{-9.9}^{+11.5}$ |  0.17${}_{-0.01}^{+0.01}$ |  0.48${}_{-0.03}^{+0.03}$ |  0.19${}_{-0.01}^{+0.00}$ |  0.18${}_{-0.01}^{+0.00}$ | 0.10 |  0.12${}_{-0.01}^{+0.00}$ | 0.05 | 0.0 |  0.36${}_{-0.02}^{+0.02}$ | $\cdots$
BAT99-109 | WN5–7h | HF |  49.6$\pm$1.0 |  1.9$\pm$0.2 |  6.70${}_{-0.08}^{+0.08}$ | e |  –11.79${}_{-0.04}^{+0.05}$ | 2000 |  36.5${}_{-7.7}^{+8.9}$ |  0.19${}_{-0.01}^{+0.01}$ |  0.45${}_{-0.03}^{+0.03}$ |  0.19${}_{-0.01}^{+0.00}$ |  0.17${}_{-0.01}^{+0.00}$ | 0.08 | 0.11 | 0.04 | 0.00 |  0.33${}_{-0.01}^{+0.02}$ | $\cdots$
BAT99-110 | Of/WN | HF |  49.6$\pm$1.0 |  1.7${}_{-0.1}^{+0.2}$ |  6.32${}_{-0.07}^{+0.07}$ | e,j |  –12.83${}_{-0.04}^{+0.04}$ | 1700 |  2.8${}_{-0.6}^{+0.6}$ |  0.03${}_{-0.00}^{+0.01}$ |  0.30${}_{-0.01}^{+0.02}$ |  0.22${}_{-0.01}^{+0.01}$ | 0.00 | 0.19 | 0.00 | 0.00 | 0.00 |  0.55${}_{-0.03}^{+0.03}$ | $\cdots$
BAT99-111 |  WN6–8${\dagger}$ | HF |  49.6$\pm$1.0 |  1.6${}_{-0.1}^{+0.2}$ |  6.24${}_{-0.06}^{+0.07}$ | g |  –12.75${}_{-0.05}^{+0.04}$ |  0600 |  03.1${}_{-0.6}^{+0.7}$ |  0.05${}_{-0.01}^{+0.00}$ | 0.00 |  0.13${}_{-0.01}^{+0.00}$ | 0.11 | 0.63 | 0.00 | 0.00 | 0.04 |  0.69${}_{-0.04}^{+0.05}$ | $\cdots$
BAT99-112 | WN5–7h | HF+VM |  49.6$\pm$1.0 |  2.5${}_{-0.2}^{+0.3}$ |  6.49${}_{-0.10}^{+0.10}$ | e |  –11.97${}_{-0.05}^{+0.04}$ | 1600 |  45.2${}_{-11.5}^{+14.6}$ |  0.38${}_{-0.03}^{+0.03}$ |  0.33${}_{-0.03}^{+0.03}$ |  0.15${}_{-0.00}^{+0.01}$ |  0.16${}_{-0.00}^{+0.01}$ | 0.06 |  0.06${}_{-0.00}^{+0.01}$ | 0.01 | 0.00 |  0.24${}_{-0.02}^{+0.02}$ |  0.06${}_{-0.00}^{+0.01}$
BAT99-113 | Of/WN+O | VM |  49.6$\pm$1.0 |  1.2${}_{-0.1}^{+0.2}$ |  6.13${}_{-0.05}^{+0.06}$ | h |  –12.54${}_{-0.10}^{+0.07}$ | 1100 |  02.9${}_{-0.7}^{+0.7}$ |  0.06${}_{-0.01}^{+0.00}$ | $\cdots$ | $\cdots$ | $\cdots$ | 0.09 | 0.03 | 0.04 | 0.00 |  0.50${}_{-0.02}^{+0.02}$ | $\cdots$
BAT99-114 | Of/WN | VM |  49.6$\pm$1.0 |  1.2${}_{-0.1}^{+0.2}$ |  6.43${}_{-0.05}^{+0.05}$ | g |  –12.74${}_{-0.09}^{+0.08}$ | 1000 |  02.0${}_{-0.5}^{+0.4}$ |  0.02${}_{-0.00}^{+0.00}$ | $\cdots$ | $\cdots$ | $\cdots$ | 0.12 | 0.03 | 0.07 | 0.00 |  0.64${}_{-0.03}^{+0.03}$ |  0.13${}_{-0.00}^{+0.01}$
Table 10: continued

Star | Category | Data | $d$ | $A_{\rm V}$ | $\log$ | Ref | $\log F_{\rm HeII~{}4686}$ | HeII 4686 | $L_{\rm HeII~{}4686}$ | $\underline{L_{\rm NIV~{}3478,85}}$ | $\underline{L_{\rm NIV~{}4058}}$ | $\underline{L_{4100}}$ | $\underline{L_{4630}}$ | $\underline{L_{\rm HeII~{}5412}}$ | $\underline{L_{\rm CIV~{}5801,12}}$ | $\underline{L_{\rm HeI~{}5876}}$ | $\underline{L_{{\rm H}\alpha}}$ | $\underline{L_{\rm NIV~{}7103,29}}$
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---
|  | ID | kpc | mag | $L_{\rm Bol}/L_{\odot}$ |  |  erg s-1 cm-2 | FWHM |  1035 erg s-1 | $10^{-3}L_{\rm Bol}$ | $L_{\rm HeII~{}4686}$ | $L_{\rm HeII~{}4686}$ | $L_{\rm HeII~{}4686}$ | $L_{\rm HeII~{}4686}$ | $L_{\rm HeII~{}4686}$ | $L_{\rm HeII~{}4686}$ | $L_{\rm HeII~{}4686}$ | $L_{\rm HeII~{}4686}$ | $L_{\rm HeII~{}4686}$
BAT99-116 |  2$\times$WN5–7h | VM |  49.6$\pm$1.0 |  2.0$\pm$0.2 |  6.70${}_{-0.09}^{+0.08}$ | k |  –11.87${}_{-0.10}^{+0.08}$ | 1800 |  33.3${}_{-9.3}^{+10.4}$ |  0.17${}_{-0.01}^{+0.01}$ | $\cdots$ | $\cdots$ | $\cdots$ | 0.05 | 0.07 |  0.04${}_{-0.01}^{+0.00}$ |  0.03${}_{-0.00}^{+0.01}$ |  0.39${}_{-0.02}^{+0.03}$ |  0.11${}_{-0.01}^{+0.01}$
BAT99-117 | WN5–7h | NE |  49.6$\pm$1.0 |  0.7$\pm$0.1 |  6.39${}_{-0.03}^{+0.04}$ | g |  –11.82${}_{-0.04}^{+0.05}$ | 2000 |  09.9${}_{-1.12}^{+1.3}$ |  0.10${}_{-0.00}^{+0.01}$ |  ‡0.68${}_{-0.02}^{+0.02}$ |  0.09${}_{-0.00}^{+0.01}$ | 0.03 | 0.00 |  0.07${}_{-0.00}^{+0.01}$ | 0.01 | 0.00 |  0.24${}_{-0.01}^{+0.01}$ | 0.11
BAT99-118 |  2$\times$WN6–8 | AR+SC |  49.6$\pm$1.0 |  0.6${}_{-0.0}^{+0.1}$ |  6.71${}_{-0.03}^{+0.03}$ | l |  –10.86${}_{-0.05}^{+0.04}$ | 1400 |  80.1${}_{-9.7}^{+10.0}$ |  0.41${}_{-0.02}^{+0.01}$ | $\cdots$ | 0.15 |  0.26${}_{-0.01}^{+0.00}$ | 0.15 | 0.09 | 0.04 | 0.04 |  0.41${}_{-0.01}^{+0.00}$ | $\cdots$
BAT99-119 | WN6–8+O | AR+SC |  49.6$\pm$1.0 |  1.1${}_{-0.2}^{+0.1}$ |  6.63${}_{-0.04}^{+0.05}$ | h |  –11.34${}_{-0.04}^{+0.04}$ | 1100 |  43.3${}_{-6.5}^{+7.0}$ |  0.26${}_{-0.01}^{+0.01}$ |  0.17${}_{-0.01}^{+0.01}$ | 0.17 |  0.23${}_{-0.00}^{+0.01}$ | 0.17 |  0.10${}_{-0.00}^{+0.01}$ | 0.05 | 0.03 |  0.32${}_{-0.01}^{+0.02}$ | $\cdots$
BAT99-120 | WN9–11 | AR+SC |  49.6$\pm$1.0 |  0.6${}_{-0.1}^{+0.0}$ |  5.57${}_{-0.03}^{+0.03}$ | g |  –12.30${}_{-0.05}^{+0.04}$ |  0300 |  02.7${}_{-0.3}^{+0.4}$ |  0.19${}_{-0.01}^{+0.01}$ | $\cdots$ | 0.03 |  0.86${}_{-0.01}^{+0.01}$ |  1.34${}_{-0.00}^{+0.01}$ | 0.02 | 0.01 |  0.45${}_{-0.01}^{+0.00}$ |  1.54${}_{-0.03}^{+0.03}$ | $\cdots$
BAT99-122 | WN5–7h | NE |  49.6$\pm$1.0 |  1.1${}_{-0.2}^{+0.1}$ |  6.22${}_{-0.04}^{+0.05}$ | g |  –11.50${}_{-0.05}^{+0.04}$ | 1300 |  29.5${}_{-4.4}^{+4.7}$ |  0.46${}_{-0.02}^{+0.02}$ |  ‡0.23${}_{-0.01}^{+0.01}$ |  0.25${}_{-0.01}^{+0.00}$ |  0.35${}_{-0.01}^{+0.01}$ |  0.10${}_{-0.01}^{+0.00}$ | 0.11 | 0.04 | 0.02 |  0.31${}_{-0.02}^{+0.01}$ |  0.11${}_{-0.00}^{+0.01}$
BAT99-128 | WN3–7s | NE |  49.6$\pm$1.0 |  0.6${}_{-0.0}^{+0.1}$ |  5.43${}_{-0.03}^{+0.03}$ | g |  –12.00${}_{-0.04}^{+0.05}$ | 1800 |  06.0${}_{-0.7}^{+0.8}$ |  0.58${}_{-0.02}^{+0.02}$ | $\cdots$ | 0.01 | 0.06 | 0.18 |  0.15${}_{-0.01}^{+0.00}$ | 0.01 | 0.08 |  0.17${}_{-0.00}^{+0.01}$ | 0.01
BAT99-130 | WN9–11 | AR+SC |  49.6$\pm$1.0 |  0.9${}_{-0.1}^{+0.1}$ |  5.67${}_{-0.04}^{+0.04}$ | g |  –13.42${}_{-0.05}^{+0.04}$ |  0200 |  00.3${}_{-0.0}^{+0.1}$ |  0.02${}_{-0.00}^{+0.00}$ | $\cdots$ | 0.00 |  2.2${}_{-0.0}^{+0.1}$ |  4.2${}_{-0.0}^{+0.0}$ | 0.00 | 0.00 |  3.3${}_{-0.1}^{+0.1}$ |  12${}_{-0}^{+0}$ | $\cdots$
BAT99-131 | WN3–7s | NE |  49.6$\pm$1.0 |  0.5${}_{-0.1}^{+0.0}$ |  5.66${}_{-0.02}^{+0.03}$ | g |  –11.65${}_{-0.04}^{+0.04}$ | 1600 |  11.4${}_{-1.3}^{+1.3}$ |  0.64${}_{-0.02}^{+0.02}$ | $\cdots$ | 0.06 |  0.10${}_{-0.01}^{+0.00}$ | 0.19 | 0.14 | 0.04 | 0.01 |  0.14${}_{-0.00}^{+0.01}$ |  0.09${}_{-0.00}^{+0.01}$
BAT99-132 | WN3–7s | NE |  49.6$\pm$1.0 |  0.9${}_{-0.1}^{+0.0}$ |  5.57${}_{-0.04}^{+0.04}$ | g |  –11.69${}_{-0.04}^{+0.05}$ | 1900 |  15.8${}_{-2.2}^{+2.2}$ |  1.10${}_{-0.06}^{+0.05}$ |  ‡0.64${}_{-0.02}^{+0.03}$ | 0.06 |  0.11${}_{-0.00}^{+0.01}$ | 0.16 | 0.14 | 0.04 | 0.01 |  0.18${}_{-0.01}^{+0.01}$ |  0.11${}_{-0.00}^{+0.01}$
BAT99-133 | WN9–11 | AR+SC |  49.6$\pm$1.0 |  0.4${}_{-0.0}^{+0.1}$ |  5.68${}_{-0.02}^{+0.02}$ | g |  –12.98${}_{-0.05}^{+0.04}$ |  0200 |  00.5${}_{-0.1}^{+0.0}$ |  0.03${}_{-0.01}^{+0.00}$ | $\cdots$ | 0.00 |  1.5${}_{-0.1}^{+0.0}$ |  1.7${}_{-0.0}^{+0.0}$ | 0.00 | 0.00 |  2.2${}_{-0.1}^{+0.0}$ |  5.4${}_{-0.1}^{+0.1}$ | $\cdots$
BAT99-134 | WN3–7s | NE |  49.6$\pm$1.0 |  0.2$\pm$0.0 |  5.50${}_{-0.02}^{+0.02}$ | g |  –11.62${}_{-0.05}^{+0.04}$ | 2100 |  09.0${}_{-0.9}^{+0.9}$ |  0.73${}_{-0.01}^{+0.02}$ |  ‡0.57${}_{-0.01}^{+0.01}$ | 0.04 | 0.08 | 0.17 |  0.12${}_{-0.00}^{+0.01}$ | 0.06 | 0.02 |  0.15${}_{-0.00}^{+0.01}$ |  0.05${}_{-0.00}^{+0.01}$
LMC 170–2 | WN2–5w | MM |  49.6$\pm$1.0 |  0.4$\pm$0.0 |  5.68${}_{-0.02}^{+0.03}$ | n |  –13.45${}_{-0.05}^{+0.04}$ | 1900 |  00.16${}_{-0.02}^{+0.02}$ |  0.01${}_{-0.00}^{+0.00}$ | 0.00 | 0.01 | 0.00 | 0.38 | 0.04 | 0.01 | 0.00 | 0.19 | 0.00
VFTS 682 | WN5–7h | VX |  49.6$\pm$1.0 |  4.6$\pm$0.5 |  6.46${}_{-0.18}^{+0.19}$ | m |  –13.21${}_{-0.05}^{+0.04}$ | 1800 |  22.2${}_{-8.8}^{+14.0}$ |  0.20${}_{-0.02}^{+0.02}$ |  0.50${}_{-0.06}^{+0.07}$ |  0.18${}_{-0.02}^{+0.01}$ |  0.17${}_{-0.01}^{+0.01}$ | 0.10 | 0.08 | 0.04 | 0.00 |  0.46${}_{-0.05}^{+0.06}$ |  0.17${}_{-0.02}^{+0.02}$
AB1 | WN2–5w | NE |  61.2$\pm$1.2 |  0.8$\pm$0.1 |  6.08${}_{-0.03}^{+0.04}$ | o |  –12.92${}_{-0.04}^{+0.04}$ | 1500 |  01.4${}_{-0.2}^{+0.2}$ |  0.03${}_{-0.00}^{+0.00}$ | $\cdots$ | 0.06 | 0.00 | 0.26 | 0.10 | 0.00 | 0.00 |  0.38${}_{-0.01}^{+0.01}$ | 0.00
AB2 | WN2–5w | NE |  61.2$\pm$1.2 |  0.4${}_{-0.1}^{+0.0}$ |  5.58${}_{-0.02}^{+0.03}$ | o |  –12.76${}_{-0.05}^{+0.04}$ | 1000 |  01.2${}_{-0.2}^{+0.1}$ |  0.08${}_{-0.00}^{+0.00}$ | $\cdots$ | 0.25 | 0.00 | 0.00 | 0.05 | 0.05 | 0.00 |  0.46${}_{-0.00}^{+0.01}$ | 0.22
AB3 | WN2–5w+O | CS |  61.2$\pm$1.2 |  0.6${}_{-0.1}^{+0.0}$ |  5.94${}_{-0.02}^{+0.03}$ | p |  –12.36${}_{-0.04}^{+0.04}$ | 1600 |  03.6${}_{-0.4}^{+0.5}$ |  0.11${}_{-0.01}^{+0.00}$ |  0.58${}_{-0.01}^{+0.02}$ | 0.05 | 0.03 | 0.23 | $\cdots$ | $\cdots$ | $\cdots$ | $\cdots$ | $\cdots$
AB4 | WN6–8 | AR |  61.2$\pm$1.2 |  0.3${}_{-0.0}^{+0.1}$ |  5.79${}_{-0.02}^{+0.03}$ | o |  –11.94${}_{-0.05}^{+0.04}$ |  0900 |  07.4${}_{-0.8}^{+0.8}$ |  0.31${}_{-0.01}^{+0.01}$ |  ‡0.28${}_{-0.01}^{+0.00}$ | 0.13 | 0.12 | 0.06 | 0.10 | 0.02 | 0.00 | 0.24 | 0.07
AB5 |  2$\times$WN6–8 | HS |  61.2$\pm$1.2 |  0.2${}_{-0.0}^{+0.1}$ |  6.49${}_{-0.02}^{+0.02}$ | q,r |  –11.09${}_{-0.05}^{+0.04}$ | 1300 |  47.0${}_{-4.9}^{+5.0}$ |  0.39${}_{-0.01}^{+0.01}$ |  0.18${}_{-0.00}^{+0.01}$ | 0.04 | 0.08 | 0.01 | 0.10 | 0.04 | 0.04 |  0.22${}_{-0.01}^{+0.00}$ | 0.06
AB6 | WN2–5w+O | AR+CS |  61.2$\pm$1.2 |  0.2$\pm$0.0 |  6.29${}_{-0.02}^{+0.02}$ | p |  –12.35${}_{-0.05}^{+0.04}$ | 1900 |  02.5${}_{-0.3}^{+0.3}$ |  0.03${}_{-0.00}^{+0.00}$ | $\cdots$ | 0.00 | 0.00 | 0.21 | $\cdots$ | $\cdots$ | $\cdots$ | $\cdots$ | $\cdots$
AB7 | WN2–5w+O | AR |  61.2$\pm$1.2 |  0.2${}_{-0.0}^{+0.1}$ |  6.11${}_{-0.02}^{+0.02}$ | p |  –12.20${}_{-0.05}^{+0.04}$ | 1700 |  03.7${}_{-0.4}^{+0.4}$ |  0.07${}_{-0.00}^{+0.01}$ | $\cdots$ | 0.00 | 0.00 | 0.00 | 0.05 | 0.00 | 0.00 |  0.13${}_{-0.00}^{+0.01}$ | 0.00
AB9 | WN2–5w | NE |  61.2$\pm$1.2 |  0.3${}_{-0.0}^{+0.1}$ |  6.06${}_{-0.02}^{+0.03}$ | o |  –12.96${}_{-0.05}^{+0.04}$ | 1700 |  00.7${}_{-0.1}^{+0.1}$ |  0.02${}_{-0.00}^{+0.00}$ | $\cdots$ | 0.00 | 0.00 | 0.19 | 0.07 | 0.00 | 0.00 | 0.18 | 0.00
AB10 | WN2–5w | NE |  61.2$\pm$1.2 |  0.5${}_{-0.1}^{+0.0}$ |  5.66${}_{-0.02}^{+0.03}$ | o |  –13.02${}_{-0.04}^{+0.04}$ | 1900 |  00.7${}_{-0.1}^{+0.1}$ |  0.04${}_{-0.00}^{+0.00}$ | $\cdots$ | 0.02 | 0.00 | 0.35 | 0.06 | 0.00 | 0.00 |  $\diamond$0.33 | 0.00
AB11 | WN2–5w | NE |  61.2$\pm$1.2 |  0.4${}_{-0.0}^{+0.1}$ |  5.86${}_{-0.02}^{+0.03}$ | o |  –13.15${}_{-0.04}^{+0.04}$ | 1700 |  00.5${}_{-0.1}^{+0.1}$ |  0.02${}_{-0.00}^{+0.00}$ | $\cdots$ | 0.00 | 0.00 | 0.36 | 0.02 | 0.03 | 0.00 |  0.20${}_{-0.00}^{+0.01}$ | 0.00
AB12 | WN2–5w | NE |  61.2$\pm$1.2 |  0.5${}_{-0.0}^{+0.1}$ |  5.91${}_{-0.02}^{+0.03}$ | o |  –13.06${}_{-0.05}^{+0.04}$ | 1700 |  00.7${}_{-0.1}^{+0.1}$ |  0.02${}_{-0.00}^{+0.00}$ | $\cdots$ | 0.00 | 0.00 | 0.13 | 0.05 | 0.00 | 0.00 |  0.14${}_{-0.01}^{+0.00}$ | 0.00

a: Hamann et al. (2006); b: Crowther & Hadfield (2006); c: Crowther et al.
(1995a); d: Smith et al. (1994); e: Crowther et al. (2010), f: Bohannan &
Crowther (1999) g: Hainich et al. (2014); h: Shenar et al. (2019); i: Crowther
& Smith (1997); j: Brands et al. (2022); k: Tehrani et al. (2019); l: Shenar
et al. (2021) m: Rubio-Diez et al. (in prep); n: Neugent et al. (2017); o:
Hainich et al. (2015); p: Shenar et al. (2016); q: Koenigsberger et al.
(2014); r: Hillier et al. (2019)
Note: # CASPEC observations (Schmutz, 1997); ‡: SIT observations (Torres-
Dodgen & Massey, 1988); ${\dagger}$: MUSE/NFM observations (Castro et al.,
2021); $\diamond$: CTIO/R-C spectrograph observations (Foellmi et al., 2003)

Table 11: Luminosities of prominent optical emission lines of Galactic(WR) and
LMC (BAT99) WN/C, categorised as categorised as either stong-lined (WN3–7s/C)
or early/late weak-lined (WN2–5w/C or WN6–8/C) for consistency with WN stars.
He ii $\lambda$4686 FWHM are also provided in km s-1 ($\pm$100 km s-1). The
feature at $\lambda$4100 involves N iii $\lambda\lambda$4097,4103, Si iv
$\lambda\lambda$4088,4116, He ii $\lambda$4100+H$\delta$, while the feature at
$\lambda\lambda$4630 involves N v $\lambda\lambda$4603,20, N iii
$\lambda\lambda$4634,41 and C iii $\lambda\lambda$4647,51. Stars included in
spectral templates are indicated in bold.

Star | Category | Data | $d$ | $A_{\rm V}$ | $\log$ | Ref | $\log F_{\rm HeII~{}4686}$ | HeII 4686 | $L_{\rm HeII~{}4686}$ | $\underline{L_{\rm NIV~{}3478,85}}$ | $\underline{L_{\rm NIV~{}4058}}$ | $\underline{L_{4100}}$ | $\underline{L_{4630}}$ | $\underline{L_{\rm HeII~{}5412}}$ | $\underline{L_{\rm CIII~{}5696}}$ | $\underline{L_{\rm CIV~{}5801,12}}$ | $\underline{L_{\rm HeII~{}6560}}$ | $\underline{L_{\rm NIV~{}7103,29}}$
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---
|  | ID | kpc | mag | $L_{\rm Bol}/L_{\odot}$ |  |  erg s-1 cm-2 | FWHM |  1035 erg s-1 | $10^{-3}L_{\rm Bol}$ | $L_{\rm HeII~{}4686}$ | $L_{\rm HeII~{}4686}$ | $L_{\rm HeII~{}4686}$ | $L_{\rm HeII~{}4686}$ | $L_{\rm HeII~{}4686}$ | $L_{\rm HeII~{}4686}$ | $L_{\rm HeII~{}4686}$ | $L_{\rm HeII~{}4686}$ | $L_{\rm HeII~{}4686}$
WR8 | WN6–8/C | CS |  3.5$\pm$0.2 |  2.7$\pm$0.3 |  5.61${}_{-0.12}^{+0.11}$ | a |  –10.64${}_{-0.05}^{+0.04}$ | 1300 |  16.9${}_{-2.0}^{+2.6}$ |  0.45${}_{-0.06}^{+0.06}$ |  0.82${}_{-0.06}^{+0.07}$ |  0.91${}_{-0.04}^{+0.04}$ |  0.87${}_{-0.03}^{+0.04}$ |  3.36${}_{-0.01}^{+0.01}$ |  0.13${}_{-0.00}^{+0.01}$ |  0.03${}_{-0.00}^{+0.01}$ |  0.67${}_{-0.04}^{+0.06}$ |  0.15${}_{-0.01}^{+0.02}$ | $\cdots$
WR26 | WN3–7s/C | CS |  6.6${}_{-0.6}^{+0.8}$ |  4.7$\pm$0.5 |  5.72${}_{-0.21}^{+0.21}$ | a |  –12.07${}_{-0.04}^{+0.04}$ | 2400 |  18.8${}_{-3.8}^{+6.3}$ |  0.44${}_{-0.10}^{+0.13}$ |  0.64${}_{-0.08}^{+0.09}$ |  — 0.68${}_{-0.05}^{+0.04}$ — |  3.09${}_{-0.01}^{+0.01}$ |  0.21${}_{-0.02}^{+0.02}$ | 0.00 |  2.28${}_{-0.27}^{+0.32}$ |  0.17${}_{-0.03}^{+0.04}$ | $\cdots$
WR58 | WN3–7s/C | CS |  6.7${}_{-0.4}^{+0.5}$ |  1.9$\pm$0.2 |  5.01${}_{-0.11}^{+0.10}$ | a |  –11.13${}_{-0.04}^{+0.04}$ | 2200 |  13.6${}_{--0.8}^{+1.0}$ |  0.93${}_{-0.12}^{+0.14}$ |  0.67${}_{-0.04}^{+0.04}$ |  0.17${}_{-0.00}^{+0.01}$ |  0.21${}_{-0.01}^{+0.01}$ | 0.28 |  0.15${}_{-0.00}^{+0.01}$ | 0.00 |  0.26${}_{-0.01}^{+0.02}$ |  0.21${}_{-0.02}^{+0.02}$ | $\cdots$
WR98 | WN6–8/C | CS |  2.2$\pm$0.1 |  5.0$\pm$0.5 |  5.69${}_{-0.21}^{+0.20}$ | a |  –11.80${}_{-0.04}^{+0.04}$ | 1100 |  13.1${}_{-1.4}^{+2.5}$ |  0.17${}_{-0.03}^{+0.04}$ | $\cdots$ | $\cdots$ | $\cdots$ |  2.29${}_{-0.01}^{+0.01}$ |  0.12${}_{-0.01}^{+0.01}$ |  0.18${}_{-0.03}^{+0.03}$ |  0.30${}_{-0.04}^{+0.06}$ |  0.11${}_{-0.02}^{+0.04}$ | $\cdots$
WR126 | WN2–5w/C | KI |  11.3${}_{-1.0}^{+1.1}$ |  3.6${}_{-0.4}^{+0.3}$ |  6.25${}_{-0.17}^{+0.16}$ | a |  –12.20${}_{-0.05}^{+0.04}$ | 1700 |  15.2${}_{-1.9}^{+2.7}$ |  0.08${}_{-0.02}^{+0.02}$ | $\cdots$ |  — 0.73${}_{-0.04}^{+0.04}$ — |  3.93${}_{-0.02}^{+-0.01}$ |  0.30${}_{-0.02}^{+0.02}$ | 0.00 |  3.97${}_{-0.38}^{+0.41}$ |  0.33${}_{-0.05}^{+0.05}$ |  0.34${}_{-0.06}^{+0.06}$
WR145 | WN6–8/C+O | WI94 |  1.6$\pm$0.0 |  7.0$\pm$0.7 |  5.71${}_{-0.28}^{+0.28}$ | a |  –11.94${}_{-0.05}^{+0.04}$ | 1300 |  19.5${}_{-5.3}^{+11.4}$ |  0.48${}_{-0.09}^{+0.10}$ | $\cdots$ | $\cdots$ | $\cdots$ |  0.82${}_{-0.00}^{+0.01}$ |  0.13${}_{-0.02}^{+0.02}$ | 0.01 |  0.63${}_{-0.11}^{+0.14}$ | $\cdots$ | $\cdots$
WR153 | WN6–8/C+O | II91 |  4.5$\pm$0.3 |  2.1${}_{-0.2}^{+0.3}$ | $\cdots$ | b |  –10.45${}_{-0.09}^{+0.08}$ | 1400 |  19.7${}_{-2.9}^{+3.4}$ | $\cdots$ | $\cdots$ | $\cdots$ | $\cdots$ | 0.52 |  0.22${}_{-0.01}^{+0.01}$ | 0.00 |  0.53${}_{-0.03}^{+0.03}$ |  0.28${}_{-0.02}^{+0.02}$ |  0.20${}_{-0.02}^{+0.02}$
BAT99-36 | WN3–7s/C | AR |  49.6$\pm$1.0 |  0.5${}_{-0.1}^{+0.0}$ |  5.70${}_{-0.02}^{+0.03}$ | c |  –11.73${}_{-0.04}^{+0.05}$ | 2100 |  19.5${}_{-1.1}^{+1.1}$ |  0.49${}_{-0.02}^{+0.02}$ |  ‡0.60${}_{-0.01}^{+0.01}$ | 0.03 | 0.08 | 0.24 | 0.12 | 0.00 |  1.17${}_{-0.01}^{+0.02}$ | $\cdots$ | $\cdots$
BAT99-88 | WN3–7s/C | NE |  49.6$\pm$1.0 |  3.2${}_{-0.4}^{+0.3}$ |  5.79${}_{-0.12}^{+0.13}$ | c |  –12.97${}_{-0.05}^{+0.04}$ | 2900 |  10.3${}_{-3.2}^{+4.5}$ |  0.43${}_{-0.04}^{+0.05}$ | $\cdots$ | 0.00 |  0.09${}_{-0.01}^{+0.00}$ | 0.17 |  0.11${}_{-0.01}^{+0.01}$ | 0.00 |  1.52${}_{-0.12}^{+0.12}$ |  0.15${}_{-0.02}^{+0.02}$ |  0.05${}_{-0.01}^{+0.01}$

a: Sander et al. (2012), b: Crowther & Hadfield (2006), c: Hainich et al.
(2014)
Note: ‡: SIT observations (Torres-Dodgen & Massey, 1988)

Table 12: Luminosities of prominent optical emission lines of Galactic (WR) and LMC (BAT99) WC stars, categorised as early-type (WC4–5), mid-type (WC6–7) or late-type (WC8–9) stars. C iv $\lambda\lambda$5801,12 FWHM are also provided in km s-1 ($\pm$100 km s-1). The feature at 6559–81 involves He ii 6560 and C ii $\lambda\lambda$6559,81. Stars included in spectral templates are indicated in bold (the remainder are excluded owing to limited spectral coverage) WR | Category | Data | $d$ | $A_{\rm V}$ | $\log$ | Ref | $\log F_{\rm CIV~{}5801,12}$ | CIV 5801,12 | $L_{\rm CIV~{}5801,12}$ | $\underline{L_{\rm OIV~{}3403,13}}$ | $\underline{L_{\rm CIII~{}4647,51}}$ | $\underline{L_{\rm HeII~{}4686}}$ | $\underline{L_{\rm CIII~{}5696}}$ | $\underline{L_{\rm HeI~{}5876}}$ | $\underline{L_{\rm 6559-81}}$ | $\underline{L_{\rm CIII~{}6727,73}}$ | $\underline{L_{\rm CIV~{}7725}}$ | $\underline{L_{\rm CIII~{}9701,19}}$
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---
|  | ID | kpc | mag | $L_{\rm Bol}/L_{\odot}$ |  |  erg s-1 cm-2 | FWHM |  1035 erg s-1 | $10^{-3}L_{\rm Bol}$ | $L_{\rm 5801,12}$ | $L_{\rm 5801,12}$ | $L_{\rm 5801,12}$ | $L_{\rm 5801,12}$ | $L_{\rm 5801-12}$ | $L_{\rm 5801,12}$ | $L_{\rm 5801,12}$ | $L_{\rm 5801,12}$ | $L_{\rm 5801,12}$
WR4 | WC4–5 | WI02 |  2.6${}_{-0.1}^{+0.2}$ |  2.3${}_{-0.3}^{+0.2}$ |  5.41${}_{-0.10}^{+0.10}$ | a |  –9.72${}_{-0.05}^{+0.04}$ | 2200 |  10.9${}_{-2.3}^{+2.6}$ |  1.10${}_{-0.08}^{+0.08}$ |  1.01${}_{-0.13}^{+0.14}$ |  — 2.60${}_{-0.16}^{+0.16}$ — | 0.07 | 0.06 | 0.06 |  0.11${}_{-0.00}^{+0.01}$ |  0.10${}_{-0.01}^{+0.00}$ | $\cdots$
WR5 | WC6–7 | WI02 |  2.8${}_{-0.1}^{+0.2}$ |  3.2$\pm$0.3 |  5.49${}_{-0.13}^{+0.14}$ | a |  –9.95${}_{-0.04}^{+0.04}$ | 1900 |  16.9${}_{-4.5}^{+5.7}$ |  1.41${}_{-0.09}^{+0.11}$ |  0.87${}_{-0.15}^{+0.18}$ |  2.58${}_{-0.22}^{+0.23}$ |  0.38${}_{-0.03}^{+0.04}$ |  0.09${}_{-0.00}^{+0.01}$ | 0.08 | 0.08 |  0.13${}_{-0.01}^{+0.01}$ |  0.08${}_{-0.00}^{+0.01}$ |  $\dagger$0.17${}_{-0.02}^{+0.03}$
WR9 | WC4–5+O | CS |  3.5$\pm$0.2 |  3.9${}_{-0.4}^{+0.4}$ | $\cdots$ | b |  –10.19${}_{-0.05}^{+0.04}$ | 3200 |  27.0${}_{-8.2}^{+11.2}$ | $\cdots$ | $\cdots$ |  — 2.70${}_{-0.27}^{+0.31}$ — | 0.00 | 0.00 |  0.10${}_{-0.00}^{+0.01}$ |  0.15${}_{-0.01}^{+0.00}$ | $\cdots$ | $\cdots$
WR13 | WC6–7 | CS |  4.3${}_{-0.2}^{+0.3}$ |  4.5${}_{-0.4}^{+0.5}$ |  5.45${}_{-0.18}^{+0.19}$ | a |  –10.92${}_{-0.05}^{+0.04}$ | 2000 |  13.1${}_{-4.5}^{+6.4}$ |  1.20${}_{-0.07}^{+0.09}$ | $\cdots$ |  — 2.49${}_{-0.29}^{+0.34}$ — | 0.08 | 0.08 |  0.10${}_{-0.01}^{+0.00}$ |  0.15${}_{-0.01}^{+0.01}$ | $\cdots$ | $\cdots$
WR14 | WC6–7 | AD |  1.7${}_{-0.0}^{+0.1}$ |  2.4${}_{-0.2}^{+0.3}$ |  5.56${}_{-0.10}^{+0.10}$ | a |  –9.46${}_{-0.04}^{+0.05}$ | 1900 |  10.3${}_{-2.2}^{+2.6}$ |  0.73${}_{-0.03}^{+0.03}$ |  0.75${}_{-0.10}^{+0.12}$ |  2.73${}_{-0.18}^{+0.19}$ |  0.66${}_{-0.05}^{+0.04}$ | 0.32 | 0.12 |  0.16${}_{-0.01}^{+0.00}$ |  0.19${}_{-0.01}^{+0.00}$ |  0.12${}_{-0.01}^{+0.00}$ |  0.33${}_{-0.03}^{+0.04}$
WR15 | WC6–7 | CS |  2.5$\pm$0.1 |  4.6${}_{-0.4}^{+0.5}$ |  5.83${}_{-0.18}^{+0.19}$ | a |  –10.07${}_{-0.04}^{+0.04}$ | 2900 |  33.4${}_{-11.5}^{+16.6}$ |  1.27${}_{-0.05}^{+0.05}$ | $\cdots$ |  — 2.37${}_{-0.27}^{+0.33}$ — | 0.17 | 0.18 |  0.10${}_{-0.00}^{+0.01}$ |  0.12${}_{-0.01}^{+0.01}$ | $\cdots$ | $\cdots$
WR17 | WC4–5 | AD |  5.0${}_{-0.4}^{+0.5}$ |  1.2${}_{-0.2}^{+0.1}$ |  5.30${}_{-0.09}^{+0.09}$ | a |  –9.97${}_{-0.05}^{+0.04}$ | 1900 |  08.6${}_{-1.4}^{+1.5}$ |  1.12${}_{-0.08}^{+0.08}$ |  0.36${}_{-0.02}^{+0.03}$ |  2.03${}_{-0.07}^{+0.06}$ |  0.51${}_{-0.01}^{+0.02}$ | 0.03 | 0.07 |  0.08${}_{-0.01}^{+0.00}$ | 0.11 | 0.08 |  0.13${}_{-0.01}^{+0.00}$
WR19 | WC4–5+O | AD |  4.7$\pm$0.3 |  5.1${}_{-0.5}^{+0.5}$ | $\cdots$ | b |  –11.11${}_{-0.04}^{+0.04}$ | 4000 |  16.3${}_{-6.1}^{+9.2}$ | $\cdots$ |  0.74${}_{-0.19}^{+0.26}$ |  — 1.98${}_{-0.26}^{+0.30}$ — | 0.00 | 0.00 | 0.03 |  0.08${}_{-0.01}^{+0.01}$ |  0.08${}_{-0.01}^{+0.01}$ |  0.18${}_{-0.04}^{+0.05}$
WR23 | WC6–7 | AD |  2.3$\pm$0.1 |  2.3${}_{-0.2}^{+0.3}$ |  5.51${}_{-0.10}^{+0.09}$ | a |  –9.49${}_{-0.05}^{+0.04}$ | 2100 |  15.4${}_{-3.2}^{+3.8}$ |  1.24${}_{-0.05}^{+0.06}$ |  0.79${}_{-0.09}^{+0.11}$ |  2.50${}_{-0.14}^{+0.15}$ |  0.65${}_{-0.03}^{+0.04}$ | 0.23 | 0.13 |  0.13${}_{-0.01}^{+0.00}$ |  0.17${}_{-0.00}^{+0.01}$ |  0.12${}_{-0.01}^{+0.01}$ |  0.29${}_{-0.03}^{+0.03}$
WR27 | WC6–7 | CS |  2.3${}_{-0.0}^{+0.1}$ |  6.3${}_{-0.7}^{+0.6}$ |  5.17${}_{-0.26}^{+0.25}$ | a |  –11.29${}_{-0.04}^{+0.04}$ | 2200 |  07.8${}_{-3.4}^{+5.8}$ |  1.39${}_{-0.05}^{+0.05}$ |  0.71${}_{-0.11}^{+0.26}$ |  2.63${}_{-0.36}^{+0.40}$ |  0.45${}_{-0.06}^{+0.06}$ |  0.14${}_{-0.01}^{+0.00}$ | 0.07 |  0.11${}_{-0.00}^{+0.01}$ |  0.19${}_{-0.01}^{+0.02}$ | $\cdots$ | $\cdots$
WR30 | WC6–7+O | CS |  5.9$\pm$0.5 |  2.1${}_{-0.2}^{+0.3}$ | $\cdots$ | b |  –10.48${}_{-0.04}^{+0.04}$ | 2100 |  08.8${}_{-1.9}^{+2.1}$ | $\cdots$ |  0.28${}_{-0.03}^{+0.04}$ |  1.84${}_{-0.10}^{+0.12}$ |  0.78${}_{-0.04}^{+0.04}$ | 0.07 | 0.08 |  0.13${}_{-0.01}^{+0.00}$ |  0.13${}_{-0.01}^{+0.00}$ | $\cdots$ | $\cdots$
WR33 | WC4–5 | CS |  6.6${}_{-0.7}^{+0.9}$ |  2.3${}_{-0.3}^{+0.2}$ |  5.31${}_{-0.13}^{+0.14}$ | a |  –10.34${}_{-0.05}^{+0.04}$ | 3400 |  16.4${}_{-3.7}^{+4.4}$ |  2.08${}_{-0.22}^{+0.25}$ | $\cdots$ |  — 2.50${}_{-0.15}^{+0.16}$ — | 0.00 | 0.00 | 0.10 | 0.13 | $\cdots$ | $\cdots$
WR38 | WC4–5 | AD |  6.3${}_{-0.7}^{+0.9}$ |  4.2${}_{-0.5}^{+0.4}$ |  5.14${}_{-0.20}^{+0.20}$ | a |  –11.32${}_{-0.04}^{+0.05}$ | 3300 |  08.6${}_{-2.9}^{+4.0}$ |  1.62${}_{-0.22}^{+0.27}$ |  0.38${}_{-0.08}^{+0.11}$ |  — 1.70${}_{-0.19}^{+0.20}$ — | 0.00 | 0.00 | 0.02 | 0.05 |  0.06${}_{-0.01}^{+0.01}$ |  0.04${}_{-0.00}^{+0.01}$
WR39 | WC6–7+O | CS |  4.4${}_{-1.0}^{+1.4}$ |  6.4${}_{-0.7}^{+0.6}$ |  6.12${}_{-0.33}^{+0.35}$ | a |  –12.05${}_{-0.05}^{+0.04}$ | 2900 |  05.1${}_{-2.5}^{+4.1}$ |  0.10${}_{-0.02}^{+0.04}$ | $\cdots$ |  — 3.61${}_{-0.58}^{+0.69}$ — |  0.42${}_{-0.01}^{+0.00}$ | 0.25 |  0.32${}_{-0.03}^{+0.02}$ |  0.21${}_{-0.02}^{+0.02}$ | $\cdots$ | $\cdots$
WR50 | WC6–7+O | CS |  3.4$\pm$0.2 |  3.9${}_{-0.4}^{+0.4}$ |  5.39${}_{-0.16}^{+0.16}$ | a |  –10.82${}_{-0.04}^{+0.04}$ | 2400 |  06.1${}_{-1.9}^{+2.6}$ |  0.65${}_{-0.05}^{+0.05}$ |  0.91${}_{-0.18}^{+0.21}$ |  — 2.98${}_{-0.28}^{+0.32}$ — | 0.43 | 0.09 |  0.19${}_{-0.00}^{+0.01}$ |  0.16${}_{-0.00}^{+0.01}$ | $\cdots$ | $\cdots$
WR53 | WC8–9 | AD |  2.9$\pm$0.1 |  2.8${}_{-0.3}^{+0.3}$ |  5.14${}_{-0.12}^{+0.12}$ | a |  –10.64${}_{-0.05}^{+0.04}$ | 1500 |  02.5${}_{-0.6}^{+0.7}$ |  0.47${}_{-0.03}^{+0.03}$ |  0.84${}_{-0.12}^{+0.15}$ |  3.43${}_{-0.26}^{+0.27}$ |  1.10${}_{-0.08}^{+0.09}$ |  2.60${}_{-0.02}^{+0.01}$ | 0.29 |  0.62${}_{-0.02}^{+0.02}$ |  0.44${}_{-0.02}^{+0.02}$ |  0.14${}_{-0.01}^{+0.02}$ |  0.88${}_{-0.11}^{+0.12}$
WR56 | WC6–7 | CS |  7.5$\pm$0.7 |  2.6${}_{-0.2}^{+0.3}$ |  5.00 ${}_{-0.14}^{+0.13}$ | a |  –11.42${}_{-0.05}^{+0.04}$ | 1700 |  02.4${}_{-0.8}^{+1.0}$ |  0.63${}_{-0.07}^{+0.07}$ |  1.08${}_{-0.16}^{+0.18}$ |  2.95${}_{-0.21}^{+0.22}$ |  0.81${}_{-0.06}^{+0.06}$ | 0.56 | 0.15 |  0.20${}_{-0.01}^{+0.00}$ |  0.18${}_{-0.01}^{+0.01}$ | $\cdots$ | $\cdots$
WR57 | WC8–9 | CS |  3.0${}_{-0.1}^{+0.2}$ |  1.7${}_{-0.2}^{+0.1}$ |  5.16${}_{-0.07}^{+0.08}$ | a |  –10.06${}_{-0.05}^{+0.04}$ | 1700 |  03.9${}_{-0.7}^{+0.7}$ |  0.69${}_{-0.04}^{+0.05}$ |  3.21${}_{-0.26}^{+0.28}$ |  3.37${}_{-0.13}^{+0.13}$ |  0.93${}_{-0.03}^{+0.04}$ |  1.14${}_{-0.01}^{+0.00}$ | 0.18 |  0.32${}_{-0.00}^{+0.01}$ |  0.25${}_{-0.01}^{+0.00}$ | $\cdots$ | $\cdots$
WR59 | WC8–9 | CS |  3.4$\pm$0.2 |  7.6${}_{-0.7}^{+0.8}$ |  5.67${}_{-0.30}^{+0.31}$ | a |  –12.28${}_{-0.04}^{+0.04}$ | 1400 |  05.1${}_{-2.5}^{+4.9}$ |  0.28${}_{-0.01}^{+0.02}$ | $\cdots$ |  5.55${}_{1.04}^{+1.27}$ |  1.54${}_{-0.28}^{+0.34}$ |  3.68${}_{-0.06}^{+0.05}$ |  0.57${}_{-0.00}^{+0.01}$ |  1.21${}_{-0.11}^{+0.12}$ |  1.01${}_{-0.11}^{+0.12}$ | $\cdots$ | $\cdots$
WR60 | WC8–9 | CS |  3.4$\pm$0.3 |  5.4${}_{-0.5}^{+0.6}$ |  5.73${}_{-0.22}^{+0.23}$ | a |  –11.03${}_{-0.05}^{+0.04}$ | 1800 |  13.4${}_{-5.3}^{+8.2}$ |  0.64${}_{-0.06}^{+0.08}$ |  1.57${}_{-0.43}^{+0.59}$ |  2.40${}_{-0.34}^{+0.38}$ |  1.26${}_{-0.17}^{+0.20}$ |  1.87${}_{-0.02}^{+0.02}$ | 0.39 |  0.42${}_{-0.03}^{+0.02}$ |  0.28${}_{-0.02}^{+0.02}$ | $\cdots$ | $\cdots$
WR65 | WC8–9+B | CS |  2.8$\pm$0.2 |  7.5${}_{-0.7}^{+0.8}$ |  5.71${}_{-0.33}^{+0.34}$ | a |  –12.46${}_{-0.04}^{+0.04}$ | 1400 |  02.0${}_{-1.0}^{+1.8}$ |  0.10${}_{-0.00}^{+0.01}$ | $\cdots$ |  5.56${}_{-1.04}^{+1.28}$ |  1.32${}_{-0.24}^{+0.29}$ |  4.14${}_{-0.07}^{+0.06}$ |  0.86${}_{-0.01}^{+0.01}$ |  1.51${}_{-0.14}^{+0.15}$ |  0.86${}_{-0.09}^{+0.11}$ | $\cdots$ | $\cdots$
WR68 | WC6–7 | CS |  5.9${}_{-0.5}^{+0.6}$ |  5.3${}_{-0.6}^{+0.5}$ |  5.87${}_{-0.22}^{+0.22}$ | a |  –11.31${}_{-0.04}^{+0.05}$ | 1900 |  19.0${}_{-7.3}^{+11.1}$ |  0.67${}_{-0.07}^{+0.08}$ | $\cdots$ |  2.55${}_{-0.35}^{+0.39}$ |  0.81${}_{-0.11}^{+0.12}$ |  0.51${}_{-0.00}^{+0.01}$ | 0.26 |  0.20${}_{-0.01}^{+0.01}$ |  0.17${}_{-0.01}^{+0.02}$ | $\cdots$ | $\cdots$
WR69 | WC8–9 | CS |  2.6$\pm$0.1 |  2.0$\pm$0.2 |  5.06${}_{-0.09}^{+0.10}$ | a |  –10.63${}_{-0.05}^{+0.04}$ | 1500 |  01.1${}_{-0.2}^{+0.2}$ |  0.24${}_{-0.02}^{+0.02}$ | $\cdots$ |  4.33${}_{-0.24}^{+0.26}$ |  1.18${}_{-0.06}^{+0.07}$ |  4.48${}_{-0.02}^{+0.01}$ | 0.70 |  1.70${}_{-0.05}^{+0.04}$ | $\cdots$ | $\cdots$ | $\cdots$
WR70 | WC8–9+B | CS |  3.1${}_{-0.2}^{+0.1}$ |  4.7${}_{-0.4}^{+0.5}$ | $\cdots$ | b |  –11.41${}_{-0.04}^{+0.04}$ | 1200 |  02.6${}_{-0.9}^{+1.3}$ | $\cdots$ | $\cdots$ |  3.44${}_{-0.42}^{+0.48}$ |  1.19${}_{-0.14}^{+0.16}$ |  3.52${}_{-0.04}^{+0.03}$ |  0.35${}_{-0.01}^{+0.00}$ |  1.65${}_{-0.09}^{+0.10}$ | $\cdots$ | $\cdots$ | $\cdots$
WR73 | WC8–9 | CS |  6.9${}_{-0.8}^{+1.0}$ |  5.7${}_{-0.5}^{+0.6}$ | $\cdots$ | b |  –12.20${}_{-0.05}^{+0.04}$ | 1600 |  04.9${}_{-2.0}^{+3.3}$ | $\cdots$ | $\cdots$ |  3.36${}_{-0.49}^{+0.57}$ |  0.99${}_{-0.14}^{+0.16}$ |  3.20${}_{-0.03}^{+0.04}$ |  0.36${}_{-0.01}^{+0.00}$ |  1.10${}_{-0.07}^{+0.09}$ |  0.49${}_{-0.04}^{+0.04}$ | $\cdots$ | $\cdots$
WR77 | WC8–9+O | CS |  3.1$\pm$0.2 |  3.4${}_{-0.3}^{+0.4}$ | $\cdots$ | b |  –11.49${}_{-0.05}^{+0.04}$ | 1600 |  00.7${}_{-0.2}^{+0.3}$ | $\cdots$ | $\cdots$ |  1.81${}_{-0.17}^{+0.17}$ |  0.87${}_{-0.07}^{+0.09}$ |  2.15${}_{-0.01}^{+0.01}$ | 0.25 |  0.60${}_{-0.02}^{+0.03}$ |  0.47${}_{-0.02}^{+0.02}$ | $\cdots$ | $\cdots$
WR80 | WC8–9+O | CS |  3.8$\pm$0.3 |  7.0${}_{-0.7}^{+0.7}$ |  5.23${}_{-0.29}^{+0.29}$ | a |  –12.19${}_{-0.05}^{+0.04}$ | 1500 |  04.4${}_{-2.1}^{+3.7}$ |  0.68${}_{-0.06}^{+0.07}$ | $\cdots$ |  3.58${}_{-0.61}^{+0.73}$ |  1.06${}_{-0.18}^{+0.20}$ |  3.77${}_{-0.05}^{+0.06}$ |  0.49${}_{-0.01}^{+0.00}$ |  1.31${}_{-0.11}^{+0.12}$ |  1.00${}_{-0.09}^{+0.11}$ | $\cdots$ | $\cdots$
WR81 | WC8–9 | CS |  2.5$\pm$0.1 |  6.0${}_{-0.6}^{+0.6}$ |  5.38${}_{-0.24}^{+0.24}$ | a |  –11.56${}_{-0.05}^{+0.04}$ | 1500 |  03.5${}_{-1.5}^{+2.4}$ |  0.38${}_{-0.02}^{+0.02}$ | $\cdots$ |  3.48${}_{-0.50}^{+0.59}$ |  1.30${}_{-0.18}^{+0.21}$ |  3.90${}_{-0.04}^{+0.05}$ |  0.91${}_{-0.00}^{+0.01}$ |  1.37${}_{-0.10}^{+0.10}$ |  0.51${}_{-0.04}^{+0.05}$ | $\cdots$ | $\cdots$
WR88 | WC8–9 | CS |  2.7${}_{-0.1}^{+0.2}$ |  5.9${}_{-0.6}^{+0.6}$ |  5.27${}_{-0.24}^{+0.24}$ | a |  –11.86${}_{-0.04}^{+0.04}$ | 1400 |  2.1${}_{-0.9}^{+1.5}$ |  0.30${}_{-0.02}^{+0.02}$ | $\cdots$ |  5.32${}_{-0.72}^{+0.72}$ |  1.54${}_{-0.20}^{+0.23}$ |  3.23${}_{-0.03}^{+0.04}$ |  0.86${}_{-0.00}^{+0.01}$ |  0.85${}_{-0.06}^{+0.06}$ |  0.35${}_{-0.03}^{+0.03}$ | $\cdots$ | $\cdots$
WR90 | WC6–7 | VU |  1.3$\pm$0.0 |  1.5${}_{-0.1}^{+0.2}$ |  5.67${}_{-0.07}^{+0.06}$ | a |  –8.74${}_{-0.04}^{+0.04}$ | 1900 |  13.8${}_{-2.2}^{+2.4}$ |  0.77${}_{-0.03}^{+0.04}$ |  0.95${}_{-0.08}^{+0.08}$ |  2.73${}_{-0.11}^{+0.11}$ |  0.94${}_{-0.04}^{+0.03}$ | 0.40 | 0.14 |  0.17${}_{-0.01}^{+0.00}$ |  0.16${}_{-0.00}^{+0.01}$ |  0.11${}_{-0.01}^{+0.00}$ |  0.25${}_{-0.01}^{+0.02}$
WR92 | WC8–9 | CS |  4.5${}_{-0.3}^{+0.4}$ |  1.8${}_{-0.2}^{+0.2}$ |  5.09${}_{-0.10}^{+0.10}$ | a |  –11.03${}_{-0.05}^{+0.04}$ | 1400 |  01.1${}_{-0.2}^{+0.2}$ |  0.23${}_{-0.02}^{+0.02}$ | $\cdots$ |  5.17${}_{-0.27}^{+0.28}$ |  1.62${}_{-0.08}^{+0.09}$ |  4.36${}_{-0.02}^{+0.01}$ |  0.81${}_{-0.00}^{+0.01}$ |  1.86${}_{-0.05}^{+0.04}$ |  0.50${}_{-0.02}^{+0.01}$ | $\cdots$ | $\cdots$
WR93 | WC6–7+O | CS |  1.9$\pm$0.1 |  5.3${}_{-0.5}^{+0.6}$ | $\cdots$ | b |  –10.43${}_{-0.05}^{+0.04}$ | 2000 |  08.4${}_{-3.2}^{+4.9}$ | $\cdots$ | $\cdots$ |  2.06${}_{-0.28}^{+0.32}$ |  0.99${}_{-0.13}^{+0.16}$ |  0.56${}_{-0.01}^{+0.00}$ |  0.52${}_{-0.01}^{+0.00}$ |  0.20${}_{-0.01}^{+0.02}$ |  0.15${}_{-0.01}^{+0.01}$ | $\cdots$ | $\cdots$
WR95 | WC8–9 | CS |  2.2${}_{-0.2}^{+0.1}$ |  6.9${}_{-0.6}^{+0.7}$ |  5.22${}_{-0.28}^{+0.28}$ | a |  –11.92${}_{-0.05}^{+0.04}$ | 1400 |  02.7${}_{-1.3}^{+2.2}$ |  0.41${}_{-0.02}^{+0.03}$ | $\cdots$ |  3.98${}_{-0.65}^{+0.79}$ |  1.11${}_{-0.18}^{+0.20}$ |  3.92${}_{-0.05}^{+0.06}$ |  0.54${}_{-0.01}^{+0.00}$ |  1.19${}_{-0.09}^{+0.10}$ |  1.15${}_{-0.11}^{+0.12}$ | $\cdots$ | $\cdots$
WR103 | WC8–9 | II91 |  2.5${}_{-0.1}^{+0.2}$ |  2.0${}_{-0.2}^{+0.1}$ |  5.19${}_{-0.10}^{+0.09}$ | a |  –10.25${}_{-0.10}^{+0.08}$ | 1400 |  02.3${}_{-0.6}^{+0.6}$ |  0.38${}_{-0.02}^{+0.03}$ | $\cdots$ |  3.43${}_{-0.18}^{+0.19}$ |  1.00${}_{-0.05}^{+0.06}$ |  3.78${}_{-0.01}^{+0.02}$ |  0.83${}_{-0.00}^{+0.01}$ |  1.16${}_{-0.03}^{+0.03}$ |  0.54${}_{-0.02}^{+0.01}$ | $\cdots$ | $\cdots$
WR106 | WC8–9 | WI02 |  2.9$\pm$0.2 |  4.6${}_{-0.4}^{+0.5}$ |  5.10${}_{-0.19}^{+0.20}$ | a |  –11.59${}_{-0.04}^{+0.05}$ | 1400 |  01.4${}_{-0.4}^{+0.6}$ |  0.29${}_{-0.02}^{+0.02}$ |  0.43${}_{-0.10}^{+0.13}$ |  2.79${}_{-0.33}^{+0.39}$ |  0.78${}_{-0.09}^{+0.10}$ |  3.66${}_{-0.04}^{+0.03}$ |  0.84${}_{-0.00}^{+0.01}$ |  1.77${}_{-0.10}^{+0.10}$ |  0.95${}_{-0.06}^{+0.07}$ |  0.09${}_{-0.01}^{+0.01}$ |  $\dagger$1.25${}_{-0.23}^{+0.29}$
Table 12: continued

WR | Category | Data | $d$ | $A_{\rm V}$ | $\log$ | Ref | $\log F_{\rm CIV~{}5801,12}$ | CIV 5801,12 | $L_{\rm CIV~{}5801,2}$ | $\underline{L_{\rm OIV~{}3403,13}}$ | $\underline{L_{\rm CIII~{}4647,51}}$ | $\underline{L_{\rm HeII~{}4686}}$ | $\underline{L_{\rm CIII~{}5696}}$ | $\underline{L_{\rm HeI~{}5876}}$ | $\underline{L_{\rm 6559-81}}$ | $\underline{L_{\rm CIII~{}6727,73}}$ | $\underline{L_{\rm CIV~{}7725}}$ | $\underline{L_{\rm CIII~{}9701,19}}$
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---
|  | ID | kpc | mag | $L_{\rm Bol}/L_{\odot}$ |  |  erg s-1 cm-2 | FWHM |  1035 erg s-1 | $10^{-3}L_{\rm Bol}$ | $L_{\rm 5801,12}$ | $L_{\rm 5801,12}$ | $L_{\rm 5801,12}$ | $L_{\rm 5801,12}$ | $L_{\rm 5801,12}$ | $L_{\rm 5801,12}$ | $L_{\rm 5801,12}$ | $L_{\rm 5801,12}$ | $L_{\rm 5801,12}$
WR111 | WC4–5 | WI02 |  1.3${}_{-0.0}^{+0.1}$ |  1.3${}_{-0.2}^{+0.1}$ |  5.20${}_{-0.07}^{+0.07}$ | a |  –8.86${}_{-0.05}^{+0.04}$ | 2200 |  08.7${}_{-1.3}^{+1.4}$ |  1.44${}_{-0.08}^{+0.09}$ |  0.69${}_{-0.05}^{+0.05}$ |  — 2.64${}_{-0.08}^{+0.10}$ — | 0.06 | 0.08 | 0.08 |  0.14${}_{-0.01}^{+0.00}$ |  0.10${}_{-0.01}^{+0.00}$ |  $\dagger$0.18${}_{-0.01}^{+0.01}$
WR113 | WC8–9+O | KI |  1.9${}_{-0.0}^{+0.1}$ |  4.1${}_{-0.4}^{+0.5}$ |  6.01${}_{-0.17}^{+0.16}$ | a |  –10.47${}_{-0.04}^{+0.04}$ | 1500 |  05.5${}_{-1.8}^{+2.5}$ |  0.14${}_{-0.00}^{+0.01}$ |  1.11${}_{-0.20}^{+0.24}$ |  4.05${}_{-0.36}^{+0.39}$ |  0.87${}_{-0.07}^{+0.08}$ |  2.20${}_{-0.01}^{+0.02}$ | 0.29 |  0.75${}_{-0.03}^{+0.04}$ |  0.60${}_{-0.03}^{+0.03}$ | $\cdots$ | $\cdots$
WR114 | WC4–5 | KI |  1.9$\pm$0.1 |  5.1${}_{-0.5}^{+0.5}$ |  5.29${}_{-0.20}^{+0.21}$ | a |  –10.54${}_{-0.05}^{+0.04}$ | 2100 |  09.4${}_{-3.5}^{+5.2}$ |  1.25${}_{-0.07}^{+0.07}$ |  0.59${}_{-0.15}^{+0.20}$ |  2.41${}_{-0.32}^{+0.36}$ |  0.49${}_{-0.06}^{+0.07}$ | 0.07 | 0.09 |  0.08${}_{-0.01}^{+0.00}$ |  0.14${}_{-0.01}^{+0.01}$ | $\cdots$ | $\cdots$
WR117 | WC8–9 | WI02 |  5.0${}_{-0.5}^{+0.6}$ |  5.9${}_{-0.6}^{+0.5}$ |  5.57${}_{-0.25}^{+0.25}$ | a |  –11.57${}_{-0.05}^{+0.04}$ | 1700 |  12.2${}_{-5.1}^{+8.2}$ |  0.85${}_{-0.10}^{+0.14}$ |  0.72${}_{-0.21}^{+0.29}$ |  2.95${}_{-0.44}^{+0.51}$ |  0.87${}_{-0.13}^{+0.14}$ |  2.90${}_{-0.04}^{+0.03}$ |  0.38${}_{-0.01}^{+0.00}$ |  0.99${}_{-0.07}^{+0.07}$ |  0.48${}_{-0.04}^{+0.05}$ |  0.14${}_{-0.02}^{+0.03}$ | $\cdots$
WR119 | WC8–9 | KI |  4.1${}_{-0.2}^{+0.3}$ |  3.4${}_{-0.4}^{+0.3}$ |  4.85${}_{-0.15}^{+0.14}$ | a |  –11.65${}_{-0.05}^{+0.04}$ | 1300 |  00.8${}_{-0.2}^{+0.3}$ |  0.31${}_{-0.03}^{+0.02}$ | $\cdots$ |  3.31${}_{-0.30}^{+0.32}$ |  1.03${}_{-0.09}^{+0.09}$ |  4.14${}_{-0.02}^{+0.03}$ |  0.73${}_{-0.01}^{+0.00}$ |  1.56${}_{-0.07}^{+0.07}$ |  0.64${}_{-0.03}^{+0.04}$ | $\cdots$ |  $\dagger$1.26${}_{-0.19}^{+0.21}$
WR121 | WC8–9 | WI02 |  3.4$\pm$0.2 |  5.3${}_{-0.6}^{+0.5}$ |  5.51${}_{-0.21}^{+0.22}$ | a |  –11.55${}_{-0.05}^{+0.04}$ | 1400 |  03.4${}_{-1.1}^{+2.0}$ |  0.27${}_{-0.01}^{+0.02}$ | $\cdots$ |  3.29${}_{-0.45}^{+0.51}$ |  0.99${}_{-0.13}^{+0.15}$ |  3.64${}_{-0.04}^{+0.03}$ |  0.91${}_{-0.00}^{+0.01}$ |  1.24${}_{-0.07}^{+0.09}$ |  0.65${}_{-0.05}^{+0.06}$ |  0.06${}_{-0.01}^{+0.01}$ |  $\dagger$0.96${}_{-0.21}^{+0.26}$
WR125 | WC6–7+O | KI |  5.9${}_{-0.6}^{+0.7}$ |  6.0${}_{-0.6}^{+0.6}$ |  6.28${}_{-0.25}^{+0.26}$ | a |  –11.38${}_{-0.05}^{+0.04}$ | 2800 |  29.7${}_{-12.7}^{+20.5}$ |  0.40${}_{-0.05}^{+0.07}$ | $\cdots$ |  — 2.98${}_{-0.46}^{+0.52}$ — |  1.03${}_{-0.01}^{+0.01}$ | 0.29 |  0.21${}_{-0.01}^{+0.02}$ |  0.23${}_{-0.02}^{+0.02}$ | $\cdots$ | $\cdots$
WR132 | WC6–7 | KI |  4.2${}_{-0.2}^{+0.3}$ |  4.3${}_{-0.4}^{+0.4}$ |  5.34${}_{-0.18}^{+0.18}$ | a |  –10.87${}_{-0.04}^{+0.04}$ | 2000 |  11.8${}_{-3.9}^{+5.5}$ |  1.41${}_{-0.09}^{+0.10}$ |  0.80${}_{-0.18}^{+0.23}$ |  2.56${}_{-0.29}^{+0.22}$ |  0.64${}_{-0.07}^{+0.08}$ | 0.19 | 0.10 |  0.11${}_{-0.01}^{+0.00}$ |  0.16${}_{-0.01}^{+0.01}$ | $\cdots$ | $\cdots$
WR135 | WC8–9 | WI02 |  2.4${}_{-0.2}^{+0.1}$ |  1.5${}_{-0.1}^{+0.2}$ |  5.54${}_{-0.07}^{+0.08}$ | a |  –9.45${}_{-0.04}^{+0.04}$ | 1400 |  08.6${}_{-1.4}^{+1.5}$ |  0.64${}_{-0.04}^{+0.04}$ |  1.35${}_{-0.09}^{+0.13}$ |  3.34${}_{-0.14}^{+0.14}$ |  0.85${}_{-0.03}^{+0.03}$ | 1.06 | 0.23 |  0.31${}_{-0.01}^{+0.00}$ |  0.28${}_{-0.01}^{+0.00}$ |  0.13${}_{-0.01}^{+0.00}$ |  $\dagger$0.59${}_{-0.04}^{+0.04}$
WR137 | WC6–7+O | KI |  2.0$\pm$0.1 |  2.4${}_{-0.2}^{+0.3}$ |  5.89${}_{-0.10}^{+0.10}$ | a |  –9.54${}_{-0.05}^{+0.04}$ | 1700 |  11.1${}_{-2.4}^{+2.9}$ |  0.37${}_{-0.01}^{+0.02}$ |  0.98${}_{-0.13}^{+0.15}$ |  3.38${}_{-0.22}^{+0.24}$ |  0.75${}_{-0.04}^{+0.05}$ | 0.59 | 0.13 |  0.26${}_{-0.01}^{+0.01}$ |  0.22${}_{-0.00}^{+0.01}$ | $\cdots$ |  $\dagger$0.36${}_{-0.03}^{+0.05}$
WR140 | WC6–7+O | II13 |  1.8${}_{-0.1}^{+0.0}$ |  2.1${}_{-0.2}^{+0.3}$ | $\cdots$ | b |  –8.90${}_{-0.09}^{+0.08}$ | 2900 |  29.3${}_{-7.7}^{+8.4}$ | $\cdots$ |  0.36${}_{-0.04}^{+0.05}$ |  — 2.24${}_{-0.12}^{+0.13}$ — | 0.34 | 0.08 |  0.11${}_{-0.00}^{+0.01}$ |  0.12${}_{-0.01}^{+0.00}$ |  0.10${}_{-0.01}^{+0.01}$ |  $\dagger$0.30${}_{-0.02}^{+0.04}$
WR143 | WC4–5+O | KI |  1.8$\pm$0.1 |  4.4${}_{-0.5}^{+0.4}$ |  5.45${}_{-0.18}^{+0.18}$ | a |  –10.31${}_{-0.04}^{+0.04}$ | 2900 |  07.3${}_{-2.4}^{+3.3}$ |  0.66${}_{-0.03}^{+0.04}$ |  0.37${}_{-0.09}^{+0.16}$ |  — 2.36${}_{-0.35}^{+0.41}$ — | 0.00 | 0.00 | 0.04 |  0.08${}_{-0.01}^{+0.01}$ | $\cdots$ | $\cdots$
WR144 | WC4–5 | WI02 |  1.7${}_{-0.1}^{+0.0}$ |  7.0${}_{-0.7}^{+0.7}$ |  5.15${}_{-0.28}^{+0.28}$ | a |  –11.14${}_{-0.04}^{+0.04}$ | 2800 |  10.3${}_{-4.8}^{+8.6}$ |  1.89${}_{-0.05}^{+0.06}$ | $\cdots$ |  — 1.13${}_{-0.17}^{+0.21}$ — | 0.00 | 0.00 |  0.05${}_{-0.01}^{+0.00}$ |  0.12${}_{-0.01}^{+0.01}$ |  0.12${}_{-0.01}^{+0.03}$ | $\cdots$
WR150 | WC4–5 | KI |  6.8${}_{-0.6}^{+0.8}$ |  3.5${}_{-0.4}^{+0.3}$ |  5.54${}_{-0.16}^{+0.17}$ | a |  –10.70${}_{-0.04}^{+0.04}$ | 2900 |  23.1${}_{-6.9}^{+8.9}$ |  1.73${}_{-0.20}^{+0.24}$ |  0.28${}_{-0.04}^{+0.05}$ |  — 2.29${}_{-0.19}^{+0.20}$ — | 0.00 | 0.09 |  0.11${}_{-0.01}^{+0.00}$ |  0.14${}_{-0.01}^{+0.01}$ | $\cdots$ | $\cdots$
WR154 | WC6–7 | WI02 |  4.7$\pm$0.3 |  2.9${}_{-0.3}^{+0.3}$ |  5.76${}_{-0.14}^{+0.13}$ | a |  –10.18${}_{-0.04}^{+0.05}$ | 2100 |  25.9${}_{-6.8}^{+8.6}$ |  1.17${}_{-0.08}^{+0.10}$ |  0.70${}_{-0.11}^{+0.13}$ |  2.37${}_{-0.18}^{+0.20}$ |  0.64${}_{-0.05}^{+0.05}$ | 0.18 | 0.12 |  0.10${}_{-0.00}^{+0.01}$ |  0.16${}_{-0.00}^{+0.01}$ |  0.11${}_{-0.01}^{+0.01}$ |  $\dagger$0.22${}_{-0.02}^{+0.04}$
BAT99-8 | WC4–5 | MM |  49.6$\pm$1.0 |  0.4${}_{-0.0}^{+0.0}$ |  5.47${}_{-0.02}^{+0.03}$ | c |  –11.31${}_{-0.05}^{+0.04}$ | 2600 |  20.2${}_{-2.2}^{+2.2}$ |  1.76${}_{-0.03}^{+0.04}$ |  0.52${}_{-0.01}^{+0.02}$ |  — 1.71${}_{-0.01}^{+0.02}$ — | 0.03 | 0.08 | 0.04 | 0.07 | 0.08 | 0.07
BAT99-9 | WC4–5 | MM |  49.6$\pm$1.0 |  0.5${}_{-0.1}^{+0.0}$ |  5.47${}_{-0.02}^{+0.03}$ | c |  –11.20${}_{-0.04}^{+0.05}$ | 2600 |  28.7${}_{-3.2}^{+3.2}$ |  2.51${}_{-0.05}^{+0.06}$ |  0.25${}_{-0.00}^{+0.01}$ |  — 1.05${}_{-0.02}^{+0.01}$ — | 0.01 | 0.06 | 0.04 | 0.03 | 0.05 | 0.02
BAT99-10 | WC4–5+O | AD |  49.6$\pm$1.0 |  0.1${}_{-0.0}^{+0.0}$ | $\cdots$ | b |  –11.09${}_{-0.05}^{+0.04}$ | 3200 |  25.4${}_{-2.6}^{+2.6}$ | $\cdots$ | $\cdots$ | — 1.26 — | 0.00 | 0.00 | $\cdots$ | 0.09 | 0.06 | $\cdots$
BAT99-11 | WC4–5 | MM |  49.6$\pm$1.0 |  0.4${}_{-0.0}^{+0.1}$ |  5.85${}_{-0.02}^{+0.03}$ | c |  –10.81${}_{-0.04}^{+0.04}$ | 3500 |  66.7${}_{-7.2}^{+7.2}$ |  2.43${}_{-0.05}^{+0.05}$ |  0.40${}_{-0.02}^{+0.01}$ |  — 1.73${}_{-0.02}^{+0.02}$ — | 0.01 | 0.10 | 0.05 | 0.08 | 0.06 | 0.06
BAT99-20 | WC4–5+O | AD |  49.6$\pm$1.0 |  1.2${}_{-0.2}^{+0.1}$ | $\cdots$ | b |  –11.72${}_{-0.05}^{+0.04}$ | 3900 |  15.2${}_{-2.1}^{+2.2}$ | $\cdots$ | $\cdots$ |  — 1.81${}_{-0.06}^{+0.05}$ — | 0.00 | 0.00 | $\cdots$ | 0.05 | 0.05 | $\cdots$
BAT99-28 | WC4–5+O | AD |  49.6$\pm$1.0 |  0.2${}_{-0.1}^{+0.0}$ | $\cdots$ | b |  –11.10${}_{-0.04}^{+0.04}$ | 3400 |  26.8${}_{-2.8}^{+2.7}$ | $\cdots$ | $\cdots$ |  — 2.20${}_{-0.01}^{+0.00}$ — | 0.13 | 0.00 | 0.09 | 0.09 | 0.07 | $\cdots$
BAT99-34 | WC4–5+O | AD |  49.6$\pm$1.0 |  0.1${}_{-0.0}^{+0.0}$ | $\cdots$ | b |  –11.19${}_{-0.04}^{+0.04}$ | 2700 |  20.4${}_{-2.1}^{+2.1}$ | $\cdots$ | $\cdots$ |  — 1.41${}_{-0.00}^{+0.01}$ — | 0.01 | 0.00 | 0.05 | 0.05 | 0.05 | $\cdots$
BAT99-38 | WC4–5+O | AD |  49.6$\pm$1.0 |  0.2${}_{-0.1}^{+0.0}$ | $\cdots$ | b |  –11.14${}_{-0.04}^{+0.04}$ | 3600 |  24.4${}_{-2.5}^{+2.6}$ | $\cdots$ | $\cdots$ |  — 1.26${}_{-0.01}^{+0.00}$ — | 0.01 | 0.00 | $\cdots$ | 0.03 | 0.06 | $\cdots$
BAT99-39 | WC4–5+O | AD |  49.6$\pm$1.0 |  0.1${}_{-0.0}^{+0.0}$ | $\cdots$ | b |  –11.18${}_{-0.05}^{+0.04}$ | 3900 |  21.4${}_{-2.2}^{+2.2}$ | $\cdots$ | $\cdots$ |  — 1.45${}_{-0.01}^{+0.00}$ — | 0.02 | 0.00 | $\cdots$ | 0.04 | 0.05 | $\cdots$
BAT99-52 | WC4–5 | MM |  49.6$\pm$1.0 |  0.3${}_{-0.0}^{+0.1}$ |  5.64${}_{-0.02}^{+0.02}$ | c |  –11.06${}_{-0.05}^{+0.04}$ | 3000 |  34.3${}_{-3.6}^{+3.7}$ |  2.03${}_{-0.04}^{+0.04}$ |  0.68${}_{-0.02}^{+0.02}$ |  — 2.05${}_{-0.02}^{+0.01}$ — | 0.03 | 0.09 | 0.04 | 0.08 | 0.07 | 0.07
BAT99-53 | WC4–5+O | AD |  49.6$\pm$1.0 |  0.4${}_{-0.0}^{+0.1}$ | $\cdots$ | b |  –11.07${}_{-0.05}^{+0.04}$ | 3700 |  35.7${}_{-3.9}^{+3.8}$ | $\cdots$ | $\cdots$ |  — 1.60${}_{-0.02}^{+0.01}$ — | 0.00 | 0.00 | $\cdots$ | 0.05 | 0.06 | $\cdots$
BAT99-61 | WC4–5 | MM |  49.6$\pm$1.0 |  0.5${}_{-0.1}^{+0.0}$ |  5.87${}_{-0.02}^{+0.03}$ | d |  –10.85${}_{-0.05}^{+0.04}$ | 3400 |  63.5${}_{-7.0}^{+7.1}$ |  2.21${}_{-0.05}^{+0.05}$ |  0.31${}_{-0.01}^{+0.01}$ |  — 1.68${}_{-0.02}^{+0.02}$ — | 0.01 | 0.14 | 0.06 | 0.07 | 0.05 | 0.06
BAT99-70 | WC4–5+O | AD |  49.6$\pm$1.0 |  1.5${}_{-0.1}^{+0.2}$ | $\cdots$ | b |  –11.09${}_{-0.05}^{+0.04}$ | 4300 |  89.4${}_{-14.3}^{+15.6}$ | $\cdots$ | $\cdots$ |  — 1.03${}_{-0.04}^{+0.04}$ — | 0.00 | 0.00 | 0.05 | 0.03 | 0.04 | $\cdots$
BAT99-84 | WC4–5+O | AD |  49.6$\pm$1.0 |  0.5${}_{-0.1}^{+0.0}$ | $\cdots$ | b |  –11.09${}_{-0.04}^{+0.05}$ | 3200 |  36.7${}_{-4.0}^{+4.0}$ | $\cdots$ | $\cdots$ |  — 1.96${}_{-0.02}^{+0.03}$ — | 0.01 | 0.00 | 0.05 | 0.09 | 0.07 | $\cdots$
BAT99-85 | WC4–5+O | AD |  49.6$\pm$1.0 |  1.1${}_{-0.1}^{+0.1}$ | $\cdots$ | b |  –11.34${}_{-0.04}^{+0.04}$ | 3700 |  35.6${}_{-4.9}^{+5.1}$ | $\cdots$ | $\cdots$ |  — 1.25${}_{-0.04}^{+0.04}$ — | 0.00 | 0.00 | $\cdots$ | 0.10 | 0.06 | $\cdots$
BAT99-90 | WC4–5 | MM |  49.6$\pm$1.0 |  1.1${}_{-0.1}^{+0.1}$ |  5.48${}_{-0.04}^{+0.05}$ | d |  –11.46${}_{-0.05}^{+0.04}$ | 2800 |  25.9${}_{-3.5}^{+3.7}$ |  2.22${}_{-0.06}^{+0.05}$ |  0.50${}_{-0.03}^{+0.05}$ |  — 1.60${}_{-0.05}^{+0.04}$ — | 0.02 | 0.08 | 0.04 | 0.06 | 0.06 | 0.06
BAT99-115 | WC4–5 | MM |  49.6$\pm$1.0 |  1.6${}_{-0.2}^{+0.1}$ | $\cdots$ | d |  –11.56${}_{-0.10}^{+0.08}$ | 4000 |  30.7${}_{-7.3}^{+7.5}$ | $\cdots$ |  $\sharp$1.07${}_{-0.11}^{+0.13}$ |  — 2.49${}_{-0.10}^{+0.10}$ — | 0.03 | 0.02 |  0.04${}_{-0.00}^{+0.01}$ |  0.07${}_{-0.00}^{+0.01}$ |  0.08${}_{-0.00}^{+0.01}$ | $\cdots$
BAT99-121 | WC4–5 | MM |  49.6$\pm$1.0 |  2.2${}_{-0.2}^{+0.2}$ | $\cdots$ | b |  –12.16${}_{-0.05}^{+0.04}$ | 3000 |  13.6${}_{-2.8}^{+3.1}$ | $\cdots$ |  0.70${}_{-0.10}^{+0.12}$ |  — 1.85${}_{-0.10}^{+0.11}$ — | 0.02 | 0.10 | 0.05 | 0.06 |  0.07${}_{-0.00}^{+0.01}$ |  0.12${}_{-0.01}^{+0.01}$

a: Sander et al. (2012); b $E_{\rm B-V}$ = 1.21 $E_{b-v}$ and
$(b-v)_{0}=-0.30$ mag adopted; c: Aadland et al. (2022a); d: Aadland et al.
(2022b)
d: Bartzakos et al. (2001)
Note: $\dagger$ IRTF/SpeX observations (Crowther et al., 2006a); $\sharp$ FOS
observations (Massey & Hunter, 1998)

Table 13: Luminosities of prominent optical emission lines of Galactic (WR),
LMC (BAT99, LMC, LH) and SMC (AB) WO stars. C iv $\lambda\lambda$5801,12 FWHM
are also provided in km s-1 ($\pm$200 km s-1). Stars included in spectral
templates are indicated in bold (the remainder are excluded owing to limited
spectral coverage)

Star | Category | Data | $d$ | $A_{\rm V}$ | $\log$ | Ref | $\log F_{\rm CIV~{}5801,12}$ | CIV 5801,12 | $L_{\rm CIV~{}5801,12}$ | $\underline{L_{\rm OIV~{}3403,13}}$ | $\underline{L_{\rm OVI~{}3811,34}}$ | $\underline{L_{\rm CIV~{}4658+HeII~{}4686}}$ | $\underline{L_{\rm OV~{}5572,5607}}$ | $\underline{L_{\rm HeII~{}6560}}$ | $\underline{L_{\rm CIV~{}7725}}$
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---
|  | ID | kpc | mag | $L_{\rm Bol}/L_{\odot}$ |  |  erg s-1 cm-2 | FWHM |  1035 erg s-1 | $10^{-3}L_{\rm Bol}$ | $L_{\rm CIV~{}5801,12}$ | $L_{\rm CIV~{}5801,12}$ | $L_{\rm CIV~{}5801,12}$ | $L_{\rm CIV~{}5801,12}$ | $L_{\rm CIV~{}5801,12}$ | $L_{\rm CIV~{}5801,12}$
WR30a | WO+O | AD |  8.0${}_{-0.5}^{+0.7}$ |  4.1$\pm$0.4 | $\cdots$ | a |  –11.47${}_{-0.05}^{+0.04}$ | 5200 |  08.7${}_{-2.8}^{+3.8}$ | $\cdots$ |  0.66${}_{-0.14}^{+0.18}$ |  0.35${}_{-0.06}^{+0.08}$ |  0.81${}_{-0.09}^{+0.09}$ | 0.14 | $\cdots$ |  0.05${}_{-0.01}^{+0.00}$
WR93b | WO | VX |  2.1${}_{-0.1}^{+0.1}$ |  6.3$\pm$0.6 |  4.88${}_{-0.26}^{+0.26}$ | b |  –11.90${}_{-0.04}^{+0.05}$ | 8400 |  01.5${}_{-0.6}^{+1.1}$ |  0.52${}_{-0.03}^{+0.04}$ |  1.6${}_{-0.5}^{+0.6}$ |  1.7${}_{-0.4}^{+0.5}$ |  0.71${}_{-0.10}^{+0.13}$ |  0.12${}_{-0.00}^{+0.01}$ | 0.06 |  0.14${}_{-0.02}^{+0.02}$
WR102 | WO | WI02 |  2.6${}_{-0.1}^{+0.1}$ |  3.9$\pm$0.4 |  4.95${}_{-0.16}^{+0.17}$ | b |  –12.10${}_{-0.04}^{+0.04}$ | 6600 |  00.2${}_{-0.1}^{+0.1}$ |  0.05${}_{-0.00}^{+0.01}$ |  3.1${}_{-0.6}^{+0.8}$ |  25${}_{-4}^{+5}$ |  3.2${}_{-0.3}^{+0.3}$ |  1.31${}_{-0.02}^{+0.02}$ |  0.38${}_{-0.02}^{+0.02}$ |  1.10${}_{-0.09}^{+0.13}$
WR142 | WO | WI02 |  1.6${}_{-0.0}^{+0.1}$ |  4.9$\pm$0.5 |  5.33${}_{-0.20}^{+0.20}$ | b |  –11.16${}_{-0.04}^{+0.04}$ | 7000 |  01.5${}_{-0.6}^{+0.7}$ |  0.18${}_{-0.00}^{+0.00}$ |  2.0${}_{-0.5}^{+0.7}$ |  7.1${}_{-1.6}^{+2.1}$ |  2.2${}_{-0.3}^{+0.3}$ |  0.43${}_{-0.01}^{+0.01}$ |  0.22${}_{-0.02}^{+0.01}$ |  0.53${}_{-0.07}^{+0.09}$
LH41-1042 | WO | VX |  49.6$\pm$1.0 |  0.4$\pm$0.0 |  5.25${}_{-0.02}^{+0.02}$ | b |  –11.52${}_{-0.04}^{+0.04}$ | 5600 |  12.7${}_{-1.4}^{+1.3}$ |  1.85${}_{-0.04}^{+0.03}$ |  0.78${}_{-0.02}^{+0.02}$ |  0.33${}_{-0.01}^{+0.00}$ |  0.78${}_{-0.01}^{+0.01}$ | 0.10 | 0.03 | 0.06
LMC195–1 | WO | MM |  49.6$\pm$1.0 |  0.4$\pm$0.0 |  5.40${}_{-0.02}^{+0.03}$ | c |  –12.26${}_{-0.04}^{+0.04}$ | 4900 |  02.3${}_{-0.2}^{+0.2}$ |  0.24${}_{-0.1}^{+0.0}$ |  4.3${}_{-0.2}^{+0.1}$ |  5.8${}_{-0.1}^{+0.1}$ |  1.5${}_{-0.0}^{+0.1}$ | 0.32 | 0.17 | 0.29
BAT99-123 | WO | MM |  49.6$\pm$1.0 |  0.5${}_{-0.1}^{+0.0}$ |  5.40${}_{-0.02}^{+0.03}$ | c |  –11.50${}_{-0.05}^{+0.04}$ | 5400 |  14.2${}_{-1.5}^{+1.6}$ |  1.46${}_{-0.03}^{+0.04}$ |  0.64${}_{-0.02}^{+0.03}$ |  0.40${}_{-0.01}^{+0.02}$ |  0.45${}_{-0.01}^{+0.00}$ | 0.05 |  0.02${}_{-0.00}^{+0.01}$ | 0.06
AB 8 | WO+O | AD |  61.2$\pm$1.2 |  0.2$\pm$0.0 |  6.16${}_{-0.02}^{+0.02}$ | d |  –11.22${}_{-0.04}^{+0.05}$ | 5300 |  32.9${}_{-3.4}^{+3.4}$ |  0.59${}_{-0.01}^{+0.01}$ |  0.96${}_{-0.02}^{+0.01}$ |  0.70${}_{-0.01}^{+0.01}$ |  0.65${}_{-0.00}^{+0.01}$ | 0.16 | 0.04 | 0.19

a: Rate & Crowther (2020) b: Tramper et al. (2015); c: Aadland et al. (2022b),
d: Shenar et al. (2016)

##  Appendix B Templates

Continuum subtracted WR emission line templates are provided for the Milky
Way, LMC and SMC in Figs. 11–16. Templates are degraded to a uniform spectra
resolution of 10Å, and are provided from single and single+binary WR stars,
since the latter are often contaminated by (Balmer) absorption lines from
companion OB stars. Average velocity corrections of 284 km s-1 and 162 km s-1
have been applied for the LMC and SMC, respectively (Tully et al., 2016).

Figure 11: Upper panel: Galactic WN2–5w emission line templates based on
single (red) and all (black) stars, plus WN3–7s templates (blue, offset by
1034 erg s-1 Å-1); Middle panel: LMC emission line templates; Lower panel: SMC
emission line templates (no strong-lined WN stars are known).

Figure 12: Upper panel: Galactic WN6–8 emission line templates based on single
(red) and all (black) stars, plus WN5–7h templates (pink and blue, offset by
$2\times 10^{34}$ erg s-1 Å-1); Middle panel: LMC WN6–8 and WN5–7h emission
line templates; Lower panel: SMC WN6–8 emission line templates. LMC WN5–7h
templates exclude the region shortward of $\lambda$4600 owing to the use of
VLT/MUSE datasets (Castro et al., 2018). Figure 13: Emission line templates
for LMC (black) and Milky Way (blue, offset by 1034 erg/s/Å) Of/WN stars, plus
LMC (red, offset by $2\times 10^{34}$ erg s-1 Å-1) and Milky Way (pink, offset
by $3\times 10^{34}$ erg/s/Å) WN9–11 stars. LMC Of/WN templates exclude the
region shortward of $\lambda$4600 owing to the use of VLT/MUSE datasets
(Castro et al., 2018) Figure 14: WN/C emission line templates for single WNE/C
(black, 3 Milky Way and 2 LMC), single WNL/C (2 Milky Way, pink) and all WNL/C
(4 Milky Way, blue) the latter group offset by $2\times 10^{34}$ erg s-1 Å-1.

Figure 15: Upper panel: Galactic WC4–5 emission line templates based on single
(red) and all (black) stars; Middle panel: Galactic WC6–7 emission line
templates. Lower panel: Galactic WC8–9 emission line templates. The forest of
blue features in WC8–9 stars primarily involve C ii-iii (Crowther et al.,
2006b).

Figure 16: Upper panel: LMC WC4–5 emission line templates based on single
(red) and all (black) stars; Lower panel: WO emission line templates based on
single (red) and all (black) stars, incorporating all Milky Way (4), LMC (3)
and SMC (1) stars.


All other states will be shifted up one layer. E.g. layer $1$ states become
layer $2$.

#### Environment Moves

Given an automaton $A$, define ${\text{\tt
EnvMove}}\mathord{\left({A,q,q^{\prime}}\right)}$ of an order-$n$
$\zeta$-layer stack automaton to be $A^{\prime}$ obtained from $A$ by adding
for each transition
${q^{\prime}}\xrightarrow[Q_{col}]{a}\left({{Q_{1},\ldots,Q_{n}}}\right)$ the
transition ${q}\xrightarrow[Q_{col}]{a}\left({{Q_{1},\ldots,Q_{n}}}\right)$.
This operation can be thought of as a saturation rule that captures the effect
of an external context, and could be considered as rules
$\left({{p},{a},{noop},{p^{\prime}}}\right)$ for each $a\in\Sigma$.

#### Saturating a Layer Automaton

Given a layer automaton $A$, we define ${\text{\tt
Saturate}_{j}}\mathord{\left({A}\right)}$ to be the result of applying the
saturation procedure with the CPDS
$\left({\mathcal{P},\Sigma,\mathcal{R}_{j}}\right)$ and the stack automaton
$A$ with initial state-set $\left\\{{q_{p}^{1}}\ \left|\
{p\in\mathcal{P}}\right.\right\\}$.

###  G.2 Size of the Reachability Graph

We define $N$.

###### Lemma G.1

The maximum number of states in any layer automaton constructable by repeated
applications of $\text{\tt Predecessor}_{j}$ is
$2\uparrow_{n-2}\left({{f}\mathord{\left({\zeta,\left|{\mathcal{P}}\right|}\right)}}\right)$
states for some computable polynomial $f$.

_Proof._ A $\zeta$-layer automaton may have in $q_{n}$ only the states
$q_{p}^{i}$ for $1\leq i\leq\zeta$ and $p\in\mathcal{P}$, and thus at most
$\zeta\left|{\mathcal{P}}\right|=d$ states. There may be at most $d$
transitions from any state at order-$n$ using the restricted saturation
algorithm where $Q_{n}$ has cardinality $1$ for any transition added, and thus
at most $d\cdot d$ states at order-$(n-1)$ (noting that the shift operation
deletes all states that would become non-initial if they were to remain).

Next, there may be at most $2^{d\cdot d}$ transitions from any state at
order-$(n-1)$, and thus at most $d\cdot d\cdot 2^{d\cdot d}$ states at
order-$(n-2)$ (noting that the shift operation deletes all states that would
become non-initial if they were to remain).

Thus, we can repeat this argument down to order-$1$ and obtain
$2\uparrow_{n-2}\left({{f}\mathord{\left({\zeta,\left|{\mathcal{P}}\right|}\right)}}\right)$
states for some computable polynomial $f$. $\square$

Take the automaton accepting any $\langle{p_{i}},{w}\rangle$ from
$q_{p_{i}}^{1}$. This automaton has order-$n$ states of the form $q_{p}^{i}$,
and at most a single transition from each of the layer $1$ states to
$\emptyset$. Each of these transitions is labelled by a state with at most one
transition to $\emptyset$, and so on until order-$1$.

######  Definition G.1 ($N$)

Following Lemma G.1, we take
$N=2\uparrow_{n-2}\left({{f}\mathord{\left({\zeta,d}\right)}}\right)$ for some
computable polynomial $f$.

###  G.3 Proofs for Control State Reachability

In this section, we prove Lemma 6.1 (Simulation by
$\mathcal{G}^{{p_{\text{out}}}}_{\mathcal{C}}$). The proof is split in to two
directions, given in Lemma G.2 and Lemma G.3 below.

###### Lemma G.2

Given a scope-bounded CPDS $\mathcal{C}$ and control states ${p_{\text{in}}}$
and ${p_{\text{out}}}$, there is a run of $\mathcal{C}$ from
$\langle{{p_{\text{in}}}},{w_{1},\ldots,w_{m}}\rangle$ to
$\langle{{p_{\text{out}}}},{w^{\prime}_{1},\ldots,w^{\prime}_{m}}\rangle$ for
some $w^{\prime}_{1},\ldots,w^{\prime}_{m}$ only if there is a path in
$\mathcal{G}^{{p_{\text{out}}}}_{\mathcal{C}}$ from an initial vertex to a
vertex

$\left({p_{0},A_{1},p_{1},\ldots,p_{m-1},A_{m},p_{m}}\right)$

where for all $i$ we have $\langle{p_{i-1}},{w_{i}}\rangle$ accepted from the
$1$st layer of $A_{i}$ and $p_{0}={p_{\text{in}}}$.

_Proof._ Take a run of the scope-bounded CPDS from
$\langle{{p_{\text{in}}}},{w_{1},\ldots,w_{m}}\rangle$ to
$\langle{{p_{\text{out}}}},{w^{\prime}_{1},\ldots,w^{\prime}_{m}}\rangle$. We
proceed by induction over the number of rounds in the run. In the following we
will override the $w_{i}$ and $w^{\prime}_{i}$ in the statement of the lemma
to ease notation.

In the base case, take a single round

$\langle{p_{0}},{w_{1},\ldots,w_{m}}\rangle\longrightarrow^{\ast}\langle{p_{1}},{w^{\prime}_{1},w_{2},\ldots,w_{m}}\rangle\longrightarrow^{\ast}\cdots\longrightarrow^{\ast}\langle{p_{m}},{w^{\prime}_{1},\ldots,w^{\prime}_{m}}\rangle$

where $p_{i}$ is the control state after the run on stack $i$, and
$w^{\prime}_{i}$ is the $i$th stack at the end of this run. Take an initial
vertex

$\left({p_{0},A_{1},p_{1},\ldots,p_{m-1},A_{m},p_{m}}\right)\ .$

We know $A_{i}$ is constructed by saturation from an automaton accepting
$\langle{p_{i}},{w^{\prime}_{i}}\rangle$ and thus
$\langle{p_{i-1}},{w_{i}}\rangle$ is accepted by $A_{i}$ from the $1$st layer.
This vertex then gives us a path in the reachability graph to a vertex where
for all $i$ we have $\langle{p_{i-1}},{w_{i}}\rangle$ accepted from the $1$st
layer of $A_{i}$.

Now consider the inductive step where we have a round

$\langle{p_{0}},{w_{1},\ldots,w_{m}}\rangle\longrightarrow^{\ast}\langle{p_{1}},{w^{\prime}_{1},w_{2},\ldots,w_{m}}\rangle\longrightarrow^{\ast}\cdots\longrightarrow^{\ast}\langle{p_{m}},{w^{\prime}_{1},\ldots,w^{\prime}_{m}}\rangle$

and a run from $\langle{p_{m}},{w^{\prime}_{1},\ldots,w^{\prime}_{m}}\rangle$
to the destination control state. By induction we have a vertex in the
reachability graph

$\left({p^{\prime}_{0},A^{\prime}_{1},p^{\prime}_{1},\ldots,p^{\prime}_{m-1},A^{\prime}_{m},p^{\prime}_{m}}\right)$

with $p_{m}=p^{\prime}_{0}$ that is reachable from an initial vertex and has
for all $i$ that $\langle{p^{\prime}_{i-1}},{w^{\prime}_{i}}\rangle$ is
accepted from the $1$st layer of $A^{\prime}_{i}$.

By definition of the reachability graph, there exists an edge to this vertex
from a vertex

$\left({p_{0},A_{1},p_{1},\ldots,p_{m-1},A_{m},p_{m}}\right)\ .$

such that $A_{i}={\text{\tt
Predecessor}_{i}}\mathord{\left({A^{\prime}_{i},q_{p_{i}},q_{p^{\prime}_{i-1}}}\right)}$.

Since the run of $\mathcal{C}$ is scope-bounded, we know there is an accepting
run of $w^{\prime}_{i}$ from $q_{p^{\prime}_{i-1}}^{1}$ in $A^{\prime}_{i}$
that does not use any layer $\zeta$ states (by the further condition described
below and since layer $\zeta$ corresponds to the round out of scope for
elements of $w^{\prime}_{i}$). Therefrom, we have an accepting run of
$w^{\prime}_{i}$ from $q_{p^{\prime}_{i-1}}^{2}$ in ${\text{\tt
Shift}}\mathord{\left({A^{\prime}_{i}}\right)}$. Thus, there is an accepting
run of $w^{\prime}_{i}$ from $p_{i}^{1}$ after the application of EnvMove.
Since there is a run over stack $i$ from $\langle{p_{i-1}},{w_{i}}\rangle$ to
$\langle{p_{i}},{w^{\prime}_{i}}\rangle$ we therefore have an accepting run of
$w_{i}$ from $q_{p_{i-1}}^{1}$ in $A_{i}$.

In addition to the above, we need a further property that reflects the scope
boundedness. In particular, if no character or stack with pop- or collapse-
round $0$ is removed during the $z$th round, then there is a run over $w_{i}$
that uses only transitions $q\xrightarrow{q^{\prime}}Q$ to read stacks $u$
such that no layer $z$ state is in $Q$ and, similarly, for characters $a$, the
run uses only transitions $q\xrightarrow[Q_{col}]{a}{Q}$ to read the instance
of $a$ where no layer $z$ state appears in $Q$ and no layer $z$ state appears
in $Q_{col}$.

Note that the base case is for the automata accepting any stack, only
containing transitions to the empty set, for which the property is trivial. In
the inductive step, we prove this property by further induction over the
length of the run from $\langle{p_{i}},{w_{i}}\rangle$ to
$\langle{p_{i+1}},{w^{\prime}_{i}}\rangle$. In the base case we have a run of
length $0$ and the property holds since, by induction, we can assume that
$A^{\prime}_{i}$ has the property (with the round numbers shifted) and it is
maintained by the Shift and EnvMove. Hence, assume we have a run beginning
$\langle{p},{w}\rangle\longrightarrow\langle{p^{\prime}},{w^{\prime}}\rangle$
and the required run over $w^{\prime}$. We do a case split on the stack
operation $o$ associated with the transition.

  1. 1.

If $o=pop_{k}$ then we have $w={u}:_{k}{v}$ and $w^{\prime}=v$. If $z=1$ and
$u$ has pop-round $0$ (i.e. appears in $w_{i}$), then this case cannot occur
because the transition we’re currently analysing appears in round $1$ and by
assumption $u$ is not removed in round $1$. Hence, assume $z>1$. We had a run
over $w^{\prime}$ from
${q_{p^{\prime}}^{1}}\xrightarrow{q_{k}}\left({{Q_{k+1},\dots,Q_{n}}}\right)$
in $A_{i}$ respecting the property, and by saturation we have a run over $w$
beginning with

${q_{p}^{1}}\xrightarrow[\emptyset]{a}\left({{\emptyset,\ldots,\emptyset,\left\\{{q_{k}}\right\\},Q_{k+1},\ldots,Q_{n}}}\right)$

that also respects the property, since $q_{k}$ is layer $1$ and $z\neq 1$.

  2. 2.

When $o=copy_{k}$ we have $w={u}:_{k}{v}$ and
$w^{\prime}={u}:_{k}{{u}:_{k}{v}}$. Let
${q_{p^{\prime}}^{1}}\xrightarrow[Q_{col}]{a}\left({{Q_{1},\ldots,Q_{k},\ldots
Q_{n}}}\right)$ and
${Q_{k}}\xrightarrow[Q^{\prime}_{col}]{a}\left({{Q^{\prime}_{1},\ldots,Q^{\prime}_{k}}}\right)$
be the initial transitions used on the run of $w^{\prime}$. We know neither
these transitions, nor the runs from these transitions, pass a layer $z$ state
on any component with pop- or collapse-round $0$. Furthermore, we know the
first $u$ has pop-round $1$. The second $u$ may have pop-round $0$. If it
does, we know $Q^{\prime}_{k}$ does not contain any layer $z$ states.

From the saturation algorithm, we have a transition

${q_{p}^{1}}\xrightarrow[Q_{col}\cup Q^{\prime}_{col}]{a}\left({{Q_{1}\cup
Q^{\prime}_{1},\ldots,Q_{k-1}\cup
Q^{\prime}_{k-1},Q^{\prime}_{k},Q_{k+1},\ldots,Q_{n}}}\right)\ .$

from which we have an accepting run of $w$ that satisfies the property.

  3. 3.

If $o=collapse_{k}$, $w={{a}^{u^{\prime}}}:_{1}{{u}:_{(k+1)}{v}}$ and
$w^{\prime}={u^{\prime}}:_{(k+1)}{v}$. When $k=n$, we have an accepting run of
$w^{\prime}$ respecting the property, and from the saturation, an accepting
run of $w$ beginning with a transition
${q_{p}^{1}}\xrightarrow[\left\\{{q_{p^{\prime}}^{1}}\right\\}]{a}\left({{\emptyset,\ldots,\emptyset}}\right)$
and $w^{\prime}=u^{\prime}$. When $z=1$ and $a$ has collapse-round $0$, this
case cannot occur because the transition we’re currently analysing appears in
round $1$ (similarly to the $pop_{k}$ case). Otherwise $z>1$ and we have a run
over $w$ respecting the property.

When $k<n$, we have an accepting run of $w^{\prime}$ in beginning with
${q_{p^{\prime}}^{1}}\xrightarrow{q_{k}}\left({{Q_{k+1},\dots,Q_{n}}}\right)$
that respects the property. By saturation, we have an accepting run of $w$
beginning with a transition
${q_{p}^{1}}\xrightarrow[\left\\{{q_{k}}\right\\}]{a}\left({{\emptyset,\ldots,\emptyset,Q_{k+1},\ldots,Q_{n}}}\right)$.
If the collapse-round of $a$ is $0$ and $z=1$, this case cannot occur.
Otherwise, the run over $w$ satisfies the property since the run over
$w^{\prime}$ does and $q_{k}$ is layer $1$ and $z>1$.

  4. 4.

When $o=push^{k}_{c}$, let
$w={u_{k-1}}:_{k}{{u_{k}}:_{k+1}{{\cdots}:_{n}{u_{n}}}}$. We know
$w^{\prime}={push^{k}_{c}}\mathord{\left({w}\right)}$ is

${{c}^{u_{k}}}:_{1}{{u_{k-1}}:_{k}{{\cdots}:_{n}{u_{n}}}}\ .$

Let
${q_{p^{\prime}}^{1}}\xrightarrow[Q_{col}]{c}\left({{Q_{1},\ldots,Q_{n}}}\right)\quad\text{and}\quad
Q_{1}\xrightarrow[Q^{\prime}_{col}]{a}Q^{\prime}_{1}$ be the first transitions
used on the accepting run of $w^{\prime}$. If the pop-round of $a$ is $0$, we
know there are no layer $z$ states in $Q^{\prime}_{1}$. Similarly if the pop-
round of $u_{k}$ is $0$ we know that there are no layer $z$ states in
$Q_{col}$. The saturation algorithm means we have
${q_{p}^{1}}\xrightarrow[Q^{\prime}_{col}]{a}\left({{Q^{\prime}_{1},Q_{2},\ldots,Q_{k}\cup
Q_{col},\ldots,Q_{n}}}\right)$ leading to an accepting run that respects the
property.

  5. 5.

If $o=rew_{b}$ then $w={{a}^{u}}:_{1}{v}$ and $w^{\prime}={{b}^{u}}:_{1}{v}$.
Note none of the pop- or collapse-rounds are changed, and the run of
$w^{\prime}$ beginning
${q_{p^{\prime}}^{1}}\xrightarrow[Q_{col}]{b}\left({{Q_{1},\dots,Q_{n}}}\right)$
and satisfying the property implies a run of $w$ beginning
${q_{p}^{1}}\xrightarrow[Q_{col}]{a}\left({{Q_{1},\dots,Q_{n}}}\right)$ and
also satisfying the property.

  6. 6.

If $o=noop$ then $w={{a}^{u}}:_{1}{v}$ and $w^{\prime}={{a}^{u}}:_{1}{v}$.
Note none of the pop- or collapse-rounds are changed, and the run of
$w^{\prime}$ beginning
${q_{p^{\prime}}^{1}}\xrightarrow[Q_{col}]{a}\left({{Q_{1},\dots,Q_{n}}}\right)$
and satisfying the property implies a run of $w$ beginning
${q_{p}^{1}}\xrightarrow[Q_{col}]{a}\left({{Q_{1},\dots,Q_{n}}}\right)$ and
also satisfying the property.

Finally then, by induction over the number of rounds, we reach the first round
beginning with $\langle{p_{0}},{w_{1},\ldots,w_{m}}\rangle$ and we know there
is a path from an initial vertex to a vertex

$\left({p_{0},A_{1},p_{1},\ldots,p_{m-1},A_{m},p_{m}}\right)$

with $p_{0}=p$ and for all $i$ we have $\langle{p_{i-1}},{w_{i}}\rangle$
accepted from the $1$st layer of $A_{i}$. $\square$

###### Lemma G.3

Given a scope-bounded CPDS $\mathcal{C}$ and control states ${p_{\text{in}}}$
and ${p_{\text{out}}}$, there is a run of $\mathcal{C}$ from
$\langle{{p_{\text{in}}}},{w_{1},\ldots,w_{m}}\rangle$ to
$\langle{{p_{\text{out}}}},{w^{\prime}_{1},\ldots,w^{\prime}_{m}}\rangle$ for
some $w^{\prime}_{1},\ldots,w^{\prime}_{m}$ whenever there is a path in
$\mathcal{G}^{{p_{\text{out}}}}_{\mathcal{C}}$ from an initial vertex to a
vertex

$\left({p_{0},A_{1},p_{1},\ldots,p_{m-1},A_{m},p_{m}}\right)$

with $p_{0}={p_{\text{in}}}$ and for all $i$ we have
$\langle{p_{i-1}},{w_{i}}\rangle$ accepted from the $1$st layer of $A_{i}$.

_Proof._ Note, in the following proof, we override the $w_{i}$ and
$w^{\prime}_{i}$ in the statement of the lemma. Take a path in the
reachability graph. The proof goes by induction over the length of the path.
When the path is of length $0$ we have a single vertex
$\left({p_{0},A_{1},p_{1},\ldots,p_{m-1},A_{m},p_{m}}\right)$. Take any
configuration $\langle{p_{i-1}},{w_{i}}\rangle$ accepted by $A_{i}$. We know
$A_{i}$ accepts all configurations that can reach $\langle{p_{i}},{w}\rangle$
for some $w$. Therefore, from the initial configuration

$\langle{p_{0}},{w_{1},\ldots,w_{m}}\rangle$

we first apply the run over the $1$st stack to $p_{1}$ to obtain

$\langle{p_{1}},{w^{\prime}_{1},w_{2},\ldots,w_{m}}\rangle$

for some $w^{\prime}_{1}$. Then we apply the run over the $2$nd stack to
$p_{2}$ and so on until we reach

$\langle{p_{m}},{w^{\prime}_{1},\ldots,w^{\prime}_{m}}\rangle$

for some $w^{\prime}_{1},\ldots,w^{\prime}_{m}$. This witnesses the
reachability property as required.

Now consider the inductive case where we have a path beginning with an edge of
the reachability graph from

$\left({p_{0},A_{1},p_{1},\ldots,p_{m-1},A_{m},p_{m}}\right)$

to

$\left({p^{\prime}_{0},A^{\prime}_{1},p^{\prime}_{1},\ldots,p^{\prime}_{m-1},A^{\prime}_{m},p^{\prime}_{m}}\right)\
.$

By induction we have a run from

$\langle{p_{m}},{w^{\prime}_{1},\ldots,w^{\prime}_{m}}\rangle$

to the final control state for any $w^{\prime}_{i}$ accepted by
$A^{\prime}_{i}$ from $q_{p_{i-1}}^{1}$.

Now, similarly to the base case, take any configuration
$\langle{p_{i-1}},{w_{i}}\rangle$ accepted by $A_{i}$. We know $A_{i}$ accepts
all configurations that can reach $\langle{p_{i}},{w}\rangle$ for some $w$
accepted from $q_{p^{\prime}_{i-1}}^{2}$ in ${\text{\tt
Shift}}\mathord{\left({A^{\prime}_{i}}\right)}$ and therefore, from
$q_{p^{\prime}_{i-1}}^{1}$ in $A^{\prime}_{i}$. Hence, from the initial
configuration

$\langle{p_{0}},{w_{1},\ldots,w_{m}}\rangle$

we first apply the run over the $1$st stack to $p_{1}$ to obtain

$\langle{p_{1}},{w^{\prime}_{1},w_{2},\ldots,w_{m}}\rangle$

for some $w^{\prime}_{1}$. Then we apply the run over the $2$nd stack to
$p_{2}$ and so on until we reach

$\langle{p_{m}},{w^{\prime}_{1},\ldots,w^{\prime}_{m}}\rangle$

for some $w^{\prime}_{1},\ldots,w^{\prime}_{m}$ and then, by induction, we
have a run from this configuration to the target control state as required.

We need to prove a stronger property that we can in fact build a scope-bounded
run. In particular, we show that, for all stacks $u$ in $w_{i}$, if the
accepting run of $w_{i}$ uses only transitions $q\xrightarrow{q^{\prime}}Q$ to
read $u$ such that no layer $z$ state is in $Q$, then there is a run to the
final control state such that $u$ is not popped during round $z$. Similarly,
for characters $a$, if the accepting run uses only transitions
$q\xrightarrow[Q_{col}]{a}{Q}$ to read the instance of $a$ where no layer $z$
state appears in $Q$, then $a$ is not popped in round $z$. Similarly, if no
layer $z$ state appears in $Q_{col}$, then collapse is not called on that
character during round $z$. We observe the property is trivially true for the
base case where the automata accept any stack using only transitions to
$\emptyset$. The inductive case is below.

We start from $\langle{p},{w}\rangle=\langle{p_{i}},{w_{i}}\rangle$. First
assign each stack and character in $w$ pop- and collapse-round $0$. Noting
that $A$ is obtained by saturation from $A^{\prime}$ (after a Shift and
EnvMove — call this automaton $B$), we aim to exhibit a run from
$\langle{p},{w}\rangle$ to $\langle{p_{i+1}},{w_{i+1}}\rangle$ (in fact we
choose $w_{i+1}$ via this procedure) such that all stacks and characters in
$w_{i+1}$ with pop- or collapse-round $0$ do not pass layer $z$ states in $B$.
Since we have a run over $w_{i+1}$ in $A^{\prime}_{i}$ that does not pass
layer $1$ states for parts of the stack with pop- or collapse-round $0$, we
know by induction we have a run from $\langle{p_{i+1}},{w_{i+1}}\rangle$ that
is scope bounded.

To generate such a run we follow the counter-example generation algorithm in
[9]. We refer the reader to this paper for a precise exposition of the
algorithm. Furthermore, that this routine terminates is non-trivial and
requires a subtle well-founded relation over stacks, which is also shown in
[9].

Beginning with the run over $\langle{p_{i}},{w_{i}}\rangle$ that has the
property of not passing layer $z$ states, we have our base case. Now assume we
have a run to $\langle{p},{w}\rangle$ such that the run over $w$ has no
transitions to layer $z$ states reading stacks or characters with pop- or
collapse-rounds of $0$. We take the first transition of such a run, which was
introduced by the saturation algorithm because of a rule
$\left({{p},{a},{o},{p^{\prime}}}\right)$ and certain transitions of the
partially saturated $B$. Let $\langle{p^{\prime}},{w^{\prime}}\rangle$ be the
configuration reached via this rule. We do a case split on $o$.

  1. 1.

If $o=pop_{k}$, then we have $w={u}:_{k}{v}$ and the accepting run of $w$
begins with

${q_{p}^{1}}\xrightarrow[\emptyset]{a}\left({{\emptyset,\ldots,\emptyset,\left\\{{q_{k}}\right\\},Q_{k+1},\ldots,Q_{n}}}\right)$

where
${q_{p^{\prime}}^{1}}\xrightarrow{q_{k}}\left({{Q_{k+1},\dots,Q_{n}}}\right)$
was already in $B$. This gives us an accepting run of $v$ beginning with this
transition. Note that $q_{k}$ is of layer $1$. Thus, if $u$ has pop-round $0$
and $z=1$, this case cannot occur. Otherwise, we have that the run of $v$
visits a subset of the states in the run over $w$ and thus maintains the
property.

  2. 2.

If $o=copy_{k}$, then we have $w={u}:_{k}{v}$ and
$w^{\prime}={u}:_{k}{{u}:_{k}{v}}$. Furthermore, we had an accepting run of
$w$ using the initial transition

${q_{p}^{1}}\xrightarrow[Q_{col}\cup Q^{\prime}_{col}]{a}\left({{Q_{1}\cup
Q^{\prime}_{1},\ldots,Q_{k-1}\cup
Q^{\prime}_{k-1},Q^{\prime}_{k},Q_{k+1},\ldots,Q_{n}}}\right)$

and an accepting run of $B$ on $w^{\prime}$ using the initial transitions
${q_{p^{\prime}}^{1}}\xrightarrow[Q_{col}]{a}\left({{Q_{1},\ldots,Q_{k},\ldots,Q_{n}}}\right)$
and
${Q_{k}}\xrightarrow[Q^{\prime}_{col}]{a}\left({{Q^{\prime}_{1},\ldots,Q^{\prime}_{k}}}\right)$
from which we have an accepting run over $w^{\prime}$. Note that, to prove the
required property, we observe that for all elements of $w^{\prime}$ obtaining
their pop- and collapse-rounds from $w$, the targets of the transitions used
to read them already appear in the run of $w$, hence the run satisfies the
property. The only new part of the run is to $Q^{\prime}_{k}$ after reading
the new copy of $u$, which has pop-round $1$. Thus the property is maintained.

  3. 3.

If $o=collapse_{k}$ then we have $w={{a}^{u^{\prime}}}:_{1}{{u}:_{(k+1)}{v}}$
and $w^{\prime}={u^{\prime}}:_{(k+1)}{v}$. When $k=n$, the accepting run of
$w$ begins with a transition
${q_{p}^{1}}\xrightarrow[\left\\{{q_{p^{\prime}}^{1}}\right\\}]{a}\left({{\emptyset,\ldots,\emptyset}}\right)$
and $w^{\prime}=u^{\prime}$. When $z=1$ and $a$ has collapse-round $0$, this
case cannot occur because the initial transition goes to a layer $z$ state.
Otherwise, we have a run over $w^{\prime}$ that is a subrun of that over $w$,
and thus the property is transferred.

When $k<n$, the accepting run of $w$ begins with
${q_{p}^{1}}\xrightarrow[\left\\{{q_{k}}\right\\}]{a}\left({{\emptyset,\ldots,\emptyset,Q_{k+1},\ldots,Q_{n}}}\right)$
and we have an accepting run of $w^{\prime}$ in $B$ beginning with
${q_{p^{\prime}}^{1}}\xrightarrow{q_{k}}\left({{Q_{k+1},\dots,Q_{n}}}\right)$.
If the collapse-round of $a$ is $0$ and $z=1$, this case cannot occur because
$q_{k}$ is layer $z$. Otherwise, the run over $w^{\prime}$ is a subrun of that
over $w$ and the property is transferred.

  4. 4.

If $o=push^{k}_{b}$ then $w^{\prime}={{b}^{u}}:_{1}{w}$ where
$u={top_{k+1}}\mathord{\left({{pop_{k}}\mathord{\left({w}\right)}}\right)}$
and the collapse-round of $b$ is the pop-round of
${top_{k}}\mathord{\left({w}\right)}$. The run of $w$ begins with a transition

${q_{p}^{1}}\xrightarrow[Q^{\prime}_{col}]{a}\left({{Q^{\prime}_{1},Q_{2},\ldots,Q_{k-1},Q_{k}\cup
Q_{col},Q_{k+1},\ldots,Q_{n}}}\right)$

and there is a run over $w^{\prime}$ in $B$ beginning with
${q_{p^{\prime}}^{1}}\xrightarrow[Q_{col}]{b}\left({{Q_{1},\ldots,Q_{n}}}\right)$
and $Q_{1}\xrightarrow[Q^{\prime}_{col}]{a}Q^{\prime}_{1}$. Note that, to
prove the required property, we observe that for all elements of $w^{\prime}$
obtaining their pop- and collapse-rounds from $w$, the targets of the
transitions used to read them already appear in the run of $w$, hence the run
satisfies the property. The only new parts of the run are to $Q^{\prime}_{1}$
after reading $b$, which has pop-round $1$, and the transition to $Q_{col}$ on
the collapse branch of $b$. Note, however, that $b$ has the collapse-round
equal to the pop-round of ${top_{k}}\mathord{\left({w}\right)}$ and hence we
know that $Q_{col}$ has no layer $z$ states if the collapse-round of $b$ is
$0$. Thus the property is maintained.

  5. 5.

If $o=rew_{b}$ then $w={{a}^{u}}:_{1}{v}$ and $w^{\prime}={{b}^{u}}:_{1}{v}$.
Note none of the pop- or collapse-rounds are changed, and the run of $w$
beginning
${q_{p}^{1}}\xrightarrow[Q_{col}]{a}\left({{Q_{1},\dots,Q_{n}}}\right)$ and
satisfying the property implies a run of $w^{\prime}$ in $B$ beginning
${q_{p^{\prime}}^{1}}\xrightarrow[Q_{col}]{b}\left({{Q_{1},\dots,Q_{n}}}\right)$
and also satisfying the property.

  6. 6.

If $o=noop$ then $w={{a}^{u}}:_{1}{v}$ and $w^{\prime}={{a}^{u}}:_{1}{v}$.
Note none of the pop- or collapse-rounds are changed, and the run of $w$
beginning
${q_{p}^{1}}\xrightarrow[Q_{col}]{a}\left({{Q_{1},\dots,Q_{n}}}\right)$ and
satisfying the property implies a run of $w^{\prime}$ in $B$ beginning
${q_{p^{\prime}}^{1}}\xrightarrow[Q_{col}]{a}\left({{Q_{1},\dots,Q_{n}}}\right)$
and also satisfying the property.

Thus we are done. $\square$

###  G.4 Complexity

Solving the control state reachability problem requires finding a path in the
reachability graph. Since each vertex can be stored in
${\mathcal{O}}\mathord{\left({2\uparrow_{n-1}\left({{f}\mathord{\left({\zeta,\ell}\right)}}\right)}\right)}$
space, where $f$ is a polynomial and $\ell$ the number of control states, and
we require
${\mathcal{O}}\mathord{\left({2\uparrow_{n-1}\left({{f}\mathord{\left({\zeta,\ell}\right)}}\right)}\right)}$
time to decide the edge relation, we have via Savitch’s algorithm, a
${\mathcal{O}}\mathord{\left({2\uparrow_{n-1}\left({{f}\mathord{\left({\zeta,\ell}\right)}}\right)}\right)}$
space procedure for deciding the control state reachability problem. We also
observe that the solution to the global control state reachability problem may
contain at most
${\mathcal{O}}\mathord{\left({2\uparrow_{n}\left({{f}\mathord{\left({\zeta,\ell}\right)}}\right)}\right)}$
tuples.