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Table 1

Numbers of DWDs in the SeBa MW model whose sky errors overlap with the locations of the GCs.

Index Name Overlapping within 2σ Within 10° grid
All sizes <30° <10° <3° <1°
(4) 47 Tuc 1 1 0 0 0 0.09
(11) M5 1 1 0 0 0 0.18
(18) NGC 362 3 2 0 0 0 0.28
(12) M92 4 4 0 0 0 0.37
(8) M13 5 5 0 0 0 0.68
(19) NGC 6752 17 10 1 0 0 2.12
(1) ω Cen 48 35 1 0 0 4.18
(7) M14 434 433 9 0 0 27.4
(16) NGC 6541 998 990 37 0 0 108
(20) NGC 5927 610 589 102 0 0 177
(14) M9 2159 2157 275 3 1 266
(10) M22 2465 2454 418 3 0 370
(5) M19 2206 2203 345 7 0 374
(6) M62 2476 2473 506 13 0 473
(15) M28 3543 3533 926 16 0 773
(13) NGC 6380 3661 3655 1157 35 1 1054
(9) NGC 6440 4574 4572 1628 50 1 1246
(17) NGC 6553 5258 5251 2137 107 7 1787
(3) Liller 1 6149 6147 2902 188 6 2462
(2) Terzan 5 6445 6442 3074 249 11 2587

Notes. The third column shows the number of LISA-detectable DWDs in the MW model that overlap with the sky location of each GC, as described in Sect. 2.5. The fourth through seventh columns show the numbers if we impose an additional constraint that we only consider MW DWDs whose error ellipses are smaller than a size threshold. The final column shows the expected number of MW DWDs within the 10° grid around each GC, based on the sky location probability distribution of those DWDs.

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