Isochrone ages of action-angle groups in Gaia J/ApJ/961/113 ivo://CDS.VizieR/J/ApJ/961/113 CDS Furnkranz V. Rix H.-W. Coronado J. Seeburger R. 2026-05-22T09:08:02Z 2026-05-22T10:02:12Z CDS support team CDS, Observatoire de Strasbourg, 11 rue de l'Universite, F-67000 Strasbourg, France cds-question@unistra.fr milky-way-galaxy stellar-associations stellar-ages open-star-clusters The orbit distribution of young stars in the Galactic disk is highly structured, from well-defined clusters to streams of stars that may be widely dispersed across the sky, but are compact in orbital action-angle space. The age distribution of such groups can constrain the timescales over which conatal groups of stars disperse into the "field." Gaia data have proven powerful in identifying such groups in action-angle space, but the resulting member samples are often too small and have too narrow a color-magnitude diagram (CMD) coverage to allow robust age determinations. Here, we develop and illustrate a new approach that can estimate robust stellar population ages for such groups of stars. This first entails projecting the predetermined action-angle distribution into the 5D space of positions, parallaxes, and proper motions, where much larger samples of likely members can be identified over a much wider range of the CMD. It then entails isochrone fitting that accounts for: (a) widely varying distances and reddenings; (b) outliers and binaries; (c) sparsely populated main-sequence turnoffs, by incorporating the age information of the low-mass main sequence; and (d) the possible presence of an intrinsic age spread in the stellar population. When we apply this approach to 92 nearby stellar groups identified in 6D orbit space, we find that they are predominantly young (<~1Gyr), mono-age populations. Many groups are established (known) localized clusters with possible tidal tails, while others tend to be widely dispersed and manifestly unbound. This new age-dating tool offers a stringent approach to understanding on which orbits stars form in the solar neighborhood and how quickly they disperse into the field. 2024ApJ...961..113F https://cdsarc.cds.unistra.fr/viz-bin/cat/J/ApJ/961/113 Catalog Research IsServedBy TAP VizieR generic service IsServedBy Conesearch service related-to I/355 : Gaia DR3 Part 1. Main source (Gaia Collaboration, 2022) I/357 : Gaia DR3 Part 3. Non-single stars (Gaia Collaboration, 2022) J/A+A/624/L11 : Coma Berenices neighbor moving group (Fuernkranz+, 2019) J/AJ/158/122 : Local structure & SFH of the MW (Kounkel+, 2019) J/A+A/624/L11 : Coma Berenices neighbor moving group (Fuernkranz+, 2019) J/A+A/622/L13 : Stellar stream in Gaia DR2 discovery (Meingast+, 2019) J/A+A/627/A4 : Praesepe (NGC 2632) and its tidal tails (Roeser+, 2019) J/A+A/621/L2 : Hyades tidal tails revealed by Gaia DR2 (Roeser+, 2019) J/ApJ/877/12 : Coma Ber & a Neighbor Stellar Group tidal tails (Tang+, 2019) J/A+A/640/A1 : Portrait Galactic disc (Cantat-Gaudin+, 2020) J/A+A/645/A84 : Coronae of nearby star clusters (Meingast+, 2021) J/ApJ/928/70 : Gaia EDR3 members stars of 55 FoF groups (Coronado+, 2022) J/ApJ/936/160 : Properties of 328 stellar strings (Zucker+, 2022) J/A+A/673/A114 : Improving the open cluster census. II. (Hunt+, 2023) https://cds.unistra.fr/vizier-org/licences_vizier.html https://vizier.cds.unistra.fr/viz-bin/VizieR-2?-source=J/ApJ/961/113 https://vizier.iucaa.in/viz-bin/VizieR-2?-source=J/ApJ/961/113 http://vizieridia.saao.ac.za/viz-bin/VizieR-2?-source=J/ApJ/961/113 https://vizier.cds.unistra.fr/viz-bin/votable?-source=J/ApJ/961/113 https://vizier.iucaa.in/viz-bin/votable?-source=J/ApJ/961/113 http://vizieridia.saao.ac.za/viz-bin/votable?-source=J/ApJ/961/113 GET text/xml+votable https://tapvizier.cds.unistra.fr/TAPVizieR/tap Cone search capability for table J/ApJ/961/113/table1 (Group membership selection) https://vizier.cds.unistra.fr/viz-bin/conesearch/J/ApJ/961/113/table1? https://vizier.iucaa.in/viz-bin/conesearch/J/ApJ/961/113/table1? http://vizieridia.saao.ac.za/viz-bin/conesearch/J/ApJ/961/113/table1? GET text/xml+votable 180.0 50000 true 160.0637242181275 -65.4846905421471 0.005555555555555556 3/53 55 60 670-671 4/28-30 64 125 127 149-150 217 219 244-246 249 438 443 446-447 490 906-907 928-929 932 1463 1470 1512 1514 1902 1920 2013 2335 2349 2359 2396-2397 2447 2469 2488 2623 2641 2668-2669 2671 2674-2675 2678 2769 2954 5/77 81 83-84 87 90-91 93-95 124-126 208-209 219 223 247 252 265 267 337 339 343 345 368 370 373 375-376 386 395-396 417-418 477 479 499 505 507 573 587 606 610 628 631 722 737 793 795 813 815 817-818 826 837 839 845-847 875 899-902 912 919 925 927 988-989 991-993 1008-1009 1012 1014-1015 1069 1157 1171-1172 1174-1177 1179-1181 1515 1531 1534 1671 1677 1679 1690 1707 1712-1713 1719 1746 1756 1758-1759 1765 1770 1776-1777 1779-1780 1782 1876 1934 1949-1950 1952 1954-1956 1958-1959 1965-1970 1972 1974-1975 1977-1979 1981-1982 1988 2009 2019 2023-2026 2028 2030-2031 2038 2307 2843 3182 3230-3231 3271-3274 3278 3282 3503 3512-3514 3518 3616 3618-3619 3622 3634-3635 3640-3642 3677 3725 3736-3737 3802-3803 3805-3807 3842-3843 3846-3848 3858 4111 4113-4114 4120-4122 4135 4144 4152 4228 5124 5188 5197 5199 5379-5380 5382 5388 5390 5413 5443 5449 5452 5454 5474-5475 5480-5481 5483 5580 5714 5840-5841 5843 5846-5847 5849 5851 5869 5873-5878 5884 5886-5887 5961 5991 6008 6019 6026-6027 6029-6030 6052 6054 6060 6178-6179 6273 6288 7023 7120-7122 7171 7177 7180 7191 7241 7244 7247 7254 7259 7261 7285 7306 7328-7329 7331 7334 7336-7337 7339-7341 7343 7354 7432 7434 7460-7461 7612 7684-7686 7689 7692-7694 7696 7699 7704 7706-7707 7718 7727 7729-7730 7735 7737 7758 7892 7952-7953 7956 7996 7999 8026-8027 8128 8269 8275-8277 8280 8516 8891 8894 9263 9275 9277 9284 9286 9288-9289 9306-9307 9311 9319 9325 9328 9330 9332-9333 9335 9357 9363-9364 9366 9369 9372 9374 9393-9395 9401 9403-9404 9406 9413 9419 9429-9431 9441-9443 9449 9451 9460 9462-9463 9465 9467-9468 9470 9475 9477-9478 9481-9484 9486 9492 9504-9506 9512 9531 9533 9535 9549 9551 9561-9563 9565-9567 9571-9573 9576 9597 9599 9617 9619-9620 9623 9625 9667 9688-9689 9700-9701 9708-9709 9711 9722 9745 9747-9749 9751 9756 9781 9783 9809 9811-9812 9814 9817 9819-9820 9822 9826 9832 9841 9844 9851 9858 9873 9883 9885 9887 9897 9909 9920 9922 9928 9930 9943 9961 9963 9966 10053 10055 10066 10073 10075 10078 10100 10102 10147 10155 10271 10315 10317-10319 10328-10330 10332 10361 10375 10484 10488 10491 10504 10562-10563 10568 10576 10578 10603 10605-10606 10616 10618 10633 10638 10642-10643 10645 10648 10653 10655 10657-10659 10662-10665 10682 10688-10689 10709 10716 10718-10719 10756 10767 10775 10780-10782 10789-10790 10796 10800 10802-10803 10811 10813 10819 10821-10823 10834 10836 10842 10848 10850 10856 11012-11013 11027-11028 11030 11088-11089 11091-11093 11097 11099-11100 11121 11129 11365 11376 11469 11503-11504 11755 11841 11905 11907-11908 11910 11936 11938 11950 12097 12111 12133 12135 12141 12146 6/52 60 70 78 89 95 102 175 202 211 224 247 260-261 266 269 272 276 284 286-287 300 303-304 307 313 316 318-320 322-323 329-330 340-342 344 346 352-353 355 357-359 368-369 371 389-391 401 404-405 407 411 413 415 423 426-427 432 435-437 439-440 443 445-447 508 510-511 513 556 579 622 626 649 652 664 689 701 706 712 717-718 728 764 770 772 783-785 788 790-791 793 795 797 799 809 811 816-817 822 827 840 844-846 849-852 854-856 860-861 863-864 867-870 874-875 880 882-885 887-890 917 922 933 945 948 950-952 955-956 959 961 963 965-966 968 970 973 976 978-982 984-985 987 993-994 997 1002 1004 1006-1007 1015-1016 1018-1019 1021-1023 1041-1042 1044 1046 1048 1050-1053 1057-1059 1065-1066 1074-1075 1079 1082 1086 1096-1097 1104-1105 1110 1117 1128 1133 1137 1139 1147 1151 1153-1157 1159-1162 1164 1166 1168-1169 1171-1172 1174 1177 1179 1181 1184-1186 1191-1194 1199 1201 1204 1206 1209 1211 1213 1232 1265 1267 1269 1285 1290 1299-1300 1302 1313-1314 1320 1329-1330 1333-1334 1344-1345 1347 1353-1355 1365 1367 1370 1377 1379 1384-1385 1387-1390 1396-1397 1399 1402 1405 1425 1433 1436 1439 1441-1442 1446 1451 1453 1460 1462-1463 1465 1468-1469 1471 1476 1484 1486-1487 1490 1497 1499 1512 1514 1518-1521 1525-1528 1530-1531 1533 1536-1537 1539 1553-1554 1562 1564-1566 1568 1570-1572 1574-1575 1577 1579 1594-1596 1626 1631 1655 1661 1665 1667 1676 1679 1689-1691 1694 1697 1701 1703-1704 1706-1708 1711-1712 1720 1749 1752 1759 1778-1779 1784-1785 1787 1812-1813 1815 1819-1820 1822-1823 1825-1826 1828 1831 1837 1842-1843 1846 1849 1856 1862-1863 1867 1872-1873 1877 1882-1885 1887 1893-1894 1900 1904 1906 1914-1915 1923 1926 1935 1942 1948 1950-1954 1960 1963 1970-1971 1979-1980 1983 1989 2016 2018-2019 2024-2025 2027 2051-2052 2079 2086 2126 2130 2139 2141 2149 2152 2167 2178 2183 2189 2192 2211 2232 2236 2269 2271 2285 2287 2290-2291 2296-2298 2302 2309-2310 2312 2316 2320-2321 2323-2324 2328-2330 2332 2335 2339 2341 2343 2345 2347 2352 2354 2356 2360-2361 2365 2367-2368 2372-2373 2375 2380 2383 2416-2418 2420 2422-2423 2428 2431 2433-2438 2446 2454 2466 2483 2488 2491-2494 2497-2499 2501-2503 2505 2508 2510 2518 2520 2532 2534-2537 2539-2541 2543 2545-2547 2552 2554-2555 2558 2601 2609 2630 2634 2636 2640 2652 2671 2674 2682 2706 2715 2719 2724 2739 2741 2746 2771 2788 2790 2797 2800 2803 2811 2813 2827-2828 2830 2833-2834 2836 2838 2840-2841 2843 2847-2848 2852 2855 2860 2863-2864 2866 2869-2870 2873 2880 2883-2884 2893-2894 2899 2913 2915-2916 2918 2920 2923 2927 2941 2947 2953 2956 2961-2964 2966 2974 2976-2977 2979 2981 2992 3002 3008-3009 3026-3027 3029 3031 3033-3034 3036-3037 3045 3047 3052-3053 3056 3058 3075 3078 3090 3100 3104-3105 3107-3108 3111 3114 3117 3123 3149 3151 3154 3158 3160 3162 3166-3167 3177-3179 3184 3186-3187 3192 3196 3199 3203 3208 3223 3225 3227-3229 3231 3234 3239 3243 3246 3251 3257-3259 3265-3267 3277-3280 3283 3288 3295-3298 3300 3308 3310 3319-3320 3327 3331 3345 3347 3353 3355 3369 3373 3377 3379 3456 3463-3465 3469 3471 3493 3495 3497 3499 3589 3591 3612 3614 3617 3619 3621-3625 3627-3630 3632-3634 3637 3640 3642 3656 3665-3666 3687 3689 3696 3698 3706-3707 3713 3715 3721 3741 3748 3756 3761 3763 3765 3771 3773-3774 3785 3787 3793 3795-3797 3799-3800 3802-3805 3807-3808 3815 3823 3825 3830 3832 3834 3960 3962-3963 3976-3977 3979 3981-3983 4000-4002 4005-4006 4008 4010-4011 4016 4018-4022 4024 4027 4040-4041 4044-4045 4047 4052 4054-4055 4065 4070-4073 4078 4080-4081 4083-4085 4087-4089 4091 4095 4097 4106-4107 4109 4134 4138 4142 4146 4156 4158 4164-4166 4169 4178 4182 4193-4194 4201 4203 4206 4223 4226 4229 4232 4238-4240 4244 4251 4254-4255 4268 4275 4283 4289 4294 4298 4307-4308 4311-4312 4319 4322-4323 4328 4330-4333 4335 4343 4346 4361-4362 4377 4390 4393 4395 4401 4404 4418 4446-4447 4453 4455 4467 4470 4482-4483 4489 4491-4492 4495-4496 4501-4502 4511 4517-4518 4522-4523 4536 4541-4542 4554 4572 4587-4588 4592 4603 4615 4617 4622 4625-4626 4633-4634 4639 4658 4660-4661 4664 4672-4673 4675 4678-4681 4683 4695 4712-4713 4728-4730 4732 4734 4741 4763 4768-4769 4785 4790 4804-4805 4814 4816-4817 4819-4820 4822-4823 4830-4831 4841 4845 4849 4854 4859 4864 4866 4868-4869 4872-4873 4875 4877 4881-4883 4887 4889 4896-4897 4909-4910 4913 4920-4921 4926 4930-4931 4934 4939 4945 4956 4970 4979 4982 4986-4988 4991 5000-5002 5007-5010 5017 5019 5021 5028 5031 5033 5045-5047 5049 5053 5061 5064-5065 5080 5088-5089 5093 5098-5099 5102 5105-5106 5108-5109 5117 5119 5163 5168 5198 5218 5235 5253 5259 5310 5343 5345 5349 5360 5369 5410 5428-5429 5431 5434 5459 5463 5524 5537 5541 5547-5548 5554-5555 5558 5569 5582 5596 5608 5612 5616 5625-5628 5631 5644 5646-5647 5666 5680 5705 5720-5721 5723 5727 5731 5734 5743 5761 5764 5771 5779-5780 5782-5784 5786 5789-5790 5793 5801 5804 5809 5818 5821 5831 5845-5846 5850-5851 5853-5855 5864 5880 5890 5893 5898 5916-5918 5926-5927 5929 5932 5936 5943 5951 5955 5957 5962 5971 5987 5993 6002 6006 6014-6016 6018 6021-6022 6026 6029 6031-6032 6034 6043 6046 6049-6051 6054 6064-6065 6067 6071 6076 6079-6080 6082 6090 6092 6095 6100 6106-6107 6109 6117 6119-6120 6122-6123 6129-6130 6140-6142 6145 6150 6166 6174 6191-6192 6197-6198 6207 6217 6219 6222 6225 6238-6239 6241 6252-6254 6257 6259-6260 6280 6292 6295 6297 6300 6311 6313 6328 6330-6331 6335 6338 6340 6344 6349 6351 6358 6360-6361 6366-6367 6373 6375 6378 6382-6383 6391 6405 6407 6409 6412 6420 6424 6429-6431 6436 6439 6449-6450 6454 6459 6465 6469 6471 6473-6474 6476 6488-6489 6492-6493 6497 6500 6502 6504-6505 6508 6510 6513 6516 6518-6519 6523 6525-6527 6529 6532 6534 6536 6541-6542 6544 6552-6553 6557 6568-6570 6572 6577-6578 6582 6585-6587 6589-6591 6594-6596 6598 6603 6607 6609 6611-6612 6615 6619 6621 6625 6634-6637 6639 6644 6646-6648 6650 6652 6655-6656 6664-6666 6668 6673 6675-6676 6678 6681 6683 6691-6692 6694 6696 6700 6702-6703 6726 6735-6737 6740 6744 6750 6752 6754 6764 6768 6772 6774-6776 6781-6783 6787 6789-6792 6795-6796 6799 6805-6806 6808 6810 6812-6813 6817-6822 6826-6827 6834 6836 6840-6842 6844 6860-6862 6865-6866 6869-6871 6874 6881 6887-6888 6891 6895 6897 6901 6907-6908 6913-6914 6916-6917 6925-6926 6928-6929 6934-6937 6939 6941-6944 6948-6949 6954-6955 6957-6958 6960 6965-6969 6971-6974 6977 6979-6980 6982 6989-6993 6995-6996 6998-6999 7004-7006 7029-7031 7040 7042-7043 7045 7047 7050-7053 7055-7058 7064-7065 7067 7069-7070 7073 7076-7077 7084 7086-7087 7112 7114-7115 7124-7126 7133-7135 7172-7173 7178 7181 7183-7184 7186 7192 7199 7203 7205-7206 7208 7214 7220 7224 7226 7228 7234 7237 7240 7244 7246-7247 7249 7252 7256 7262-7263 7267 7269-7271 7274 7276 7278 7281 7284 7287 7293-7294 7296 7302 7305-7306 7313 7317 7320-7322 7328 7332-7333 7338 7344 7349 7351 7355-7356 7363 7372-7373 7375 7381 7388 7390 7394-7395 7399-7400 7405 7407-7408 7411 7418 7425 7428 7431 7434 7436 7441 7443 7445 7449-7452 7457 7459 7466 7470 7473 7488-7489 7492-7494 7496 7498 7500 7502-7503 7508 7511 7514 7518 7523-7526 7540 7542 7550 7555 7557 7562-7563 7566 7571-7572 7579 7593 7598 7603-7605 7608-7609 7612 7618-7620 7624 7629-7630 7636 7645 7670 7673-7674 7676 7678 7684 7687-7688 7690 7693-7694 7697 7699-7700 7702 7704 7706 7708 7710-7712 7714-7716 7718-7720 7722-7723 7726-7728 7730-7731 7733-7734 7740-7742 7745-7746 7749 7751-7753 7758 7763 7765-7767 7771 7778-7779 7781 7786-7789 7791 7793 7795 7804-7805 7807 7813-7815 7828 7830-7831 7856-7857 7859 7884-7885 7887 7892 7894-7895 7904-7905 7907 7920-7922 7933-7936 7941 7944 7946-7947 7949 7951 7956 7966 7969 7971-7972 7974 7976-7978 7981 7983 7987 7989 7992-7993 7996 8001-8003 8005 8007 8018 8020 8022 8024-8025 8028 8030 8040 8042-8044 8046-8047 8050 8054 8056 8058-8061 8066-8069 8071-8074 8081-8083 8085-8088 8090-8091 8108-8110 8117-8119 8129-8132 8134-8136 8138-8142 8145 8147 8151 8156 8159-8161 8163-8166 8169 8171-8172 8176-8177 8179 8181 8183 8185 8187 8189-8190 8195 8221 8242 8245 8272 8275 8288 8295 8308 8313 8369-8370 8391 8405 8427 8437 8448 8454 8459 8464-8465 8469 8477 8480 8486-8487 8500 8506 8517 8521 8530-8531 8535 8545 8549 8552 8555 8561 8565 8580 8615-8616 8624 8631 8635 8649 8663 8670 8689 8701 8727 8744 8758 8844 8859 8889 8911-8912 8933 8948 8953 8957-8958 8967 8971 8981 8998 9005 9042 9059 9067 9104 9131 9147 9155 9159 9167 9183 9195 9200 9218 9222 9225 9233 9240 9249 9264 9273-9274 9279 9291-9294 9298 9301 9304 9306 9319 9330 9332 9334 9337-9339 9351-9352 9385-9387 9401 9415-9416 9422 9427-9428 9435 9439 9441 9443 9445 9447 9452 9456 9458 9463 9465 9470-9472 9475 9485 9510 9512 9514 9522 9525 9534 9539 9542 9588 9592 9602 9607 9613 9616 9619 9626 9634-9635 9639 9641 9650 9669 9681 9683 9696 9698 9710 9714 9727 9731 9763 9774 9782 9784 9793 9796 9836 9847 9849 9859-9860 9871 9879 9897 9900 9915 9926 9937 9940 9948 9951-9952 9959 9961 9967 9974 9977 9982-9983 9994-9995 9998 10010 10018-10019 10023 10025 10027 10029-10031 10037 10039 10041 10047 10058-10059 10065 10079-10080 10083 10104-10105 10113 10118 10122 10127-10128 10133 10140-10141 10147 10153 10158 10161 10169 10175-10176 10178-10179 10187-10188 10194 10204 10213 10217-10218 10220 10222 10236 10265 10276 10285-10286 10290 10298 10328 10334 10356 10361 10364 10367 10369 10384 10387 10391 10425-10427 10429-10430 10434 10439 10443 10452 10455 10468 10470 10477-10478 10503 10517 10522 10530 10540 10543-10544 10550-10551 10560 10566 10588 10594 10611-10612 10646 10653 10662 10672 10679 10681-10682 10684 10687 10697 10704 10706 10712 10725-10726 10734 10741-10743 10745-10747 10784 10787 10803 10810 10819 10834 10898 10912 10919-10920 10930 10965 10985 10989-10990 11005 11029 11031 11044 11074 11076 11088 11094 11096 11098-11099 11108-11109 11111 11113-11114 11119 11132 11148 11151 11165 11185 11197 11201 11205 11210 11215 11218 11235 11237 11243 11245-11247 11259 11261 11274 11297 11309 11316 11320 11323 11333 11346-11347 11349 11351 11353-11356 11368 11376 11378-11379 11382 11385 11389 11393-11394 11400 11402 11410 11412 11416-11417 11419-11421 11425-11426 11429-11431 11436 11438 11444-11446 11449 11451 11453-11454 11457 11460 11462-11463 11467 11469-11471 11474 11476 11482-11484 11490-11494 11497 11499-11502 11509-11511 11515-11516 11520 11525 11536 11538 11541-11544 11546-11549 11553 11558 11577 11579-11580 11592 11607 11623 11625 11628 11630 11636 11641-11643 11653 11656 11666-11667 11671 11676 11679 11691 11693 11699-11700 11706-11708 11710 11712 11716 11721-11722 11724-11725 11728-11729 11734 11736 11738 11746-11747 11751-11753 11760 11766 11768 11771 11779 11782-11783 11789 11795-11798 11804 11808 11813-11815 11818 11835-11836 11840-11841 11844 11848 11851-11853 11859-11860 11862 11869 11872 11882 11904 11907 11916-11917 11919 11925 11931 11934 11938-11940 11942-11943 11945 11949-11950 11954 11957 11978 11980 11990 11993 11995-11996 11999 12003 12006 12008 12012 12017-12019 12021-12022 12025-12026 12028 12033 12038-12039 12044-12045 12051-12053 12055-12056 12064-12065 12068-12069 12072 12075 12077 12080 12084-12085 12089 12093 12095-12098 12100 12102 12105-12106 12108-12109 12114 12117 12120 12123 12126 12128-12129 12131 12134-12136 12145 12151 12154-12155 12157 12160-12161 12169-12170 12177 12181 12185 12191 12194 12196 12198 12201 12210-12211 12213 12215-12216 12218 12220 12222-12223 12226-12227 12229 12232-12233 12236 12239 12242-12245 12247-12250 12252-12254 12257-12258 12261 12263 12265 12270 12272 12274 12276-12277 12281-12282 12284-12285 12303 12325 12329 12343 12348 12350-12351 12362 12367 12388 12399 12403 12410 12420 12424 12434 12437 12439 12442 12445 12480 12487 12490 12497 12506-12508 12510-12511 12515 12518 12530-12531 12534-12537 12540-12541 12543 12549 12564 12567-12568 12570 12573 12577 12598-12599 12602 12610 12617 12619 12640 12658 12664 12666 12681 12683 12686 12698 12700 12705 12707-12709 12711-12713 12715 12717-12720 12725 12732 12734-12735 12749 12770-12771 12774 12778-12779 12782 12792 12846 12848 12856 12888 12891 12900 12903 12907-12909 12912 12914 12917-12919 12936 12977 13012 13051 13054 13056-13057 13061 13063-13065 13068-13070 13072 13075 13077-13079 13081 13100-13101 13103 13105-13108 13110-13111 13116 13118-13119 13122-13124 13126-13127 13133-13136 13138-13139 13145-13148 13151-13153 13155-13157 13159 13168 13170 13175 13182 13188 13190 13201 13215 13218 13266 13331 13339 13343 13351 13389 13402 13427 13434 13487 13499 13542 13568 13575 13579 13625 13638 13643 13650 13679 13707 13728 13732-13733 13755 13758 13774 13778 13782 13796 13805 13834 13840 13867 13870 13897 13900 13911 13958 13973 13995 13999 14006-14007 14009-14011 14016 14028 14030 14036 14043 14045 14060-14062 14064-14066 14068 14070-14071 14076-14077 14091 14114 14121-14122 14126 14129 14135 14149 14158 14162 14174 14178 14183 14186 14190 14193 14203 14207 14215-14216 14219 14226 14233 14235 14237 14244 14249 14256 14259 14277 14280 14285 14292 14307 14321 14331 14375 14378 14443 14468 14470 14482 14493-14495 14531-14532 14552 14554-14555 14558 14572 14574-14576 14578 14581 14584 14586-14587 14589-14590 14594-14595 14604 14627-14628 14644 14666 14668 14670 14675 14678 14681 14683 14685 14687 14692-14693 14704 14718 14723 14730 14743 14747 14754 14760 14763 14766-14767 14778 14782-14783 14785 14801 14809 14880-14882 14884-14885 14887 14896-14897 14899 14905 14908 14930 14932 14934-14936 14938-14939 14942-14943 14952-14953 14956 14960-14961 14964 14966 15003 15030 15048 15096 15099 15115 15140 15147 15171 15177 15183 15199 15201 15205 15217-15219 15261 15274 15297 15300-15301 15316 15318 15361 15364-15365 15367 15380-15381 15396-15398 15408-15409 15412 15415 15424 15426-15427 15430 15436 15438-15439 15448-15450 15455-15456 15461 15492 15505 15527 15543 15589 15594 15622 15633 15647 15655 15698 15726 15733 15740 15742-15743 15779-15780 15825 15829 15832 15836 15838 15845 15854 15860 15863 15867-15868 15870 15882 15890 15900 15904 15907 15909 15912-15913 15915-15916 15922 15924 16000 16003 16035 16041-16042 16060-16061 16106-16107 16115 16117 16126-16127 16137 16152 16157 16180 16205 16220 16231 16236 16238 16240 16245 16254 16260 16287 16300-16301 16303 16305 16308 16310-16313 16315 16321 16328 16336 16345 16347 16349 16351 16358 16361-16363 16367 16369-16370 16374-16375 16378 16382 16387 16399 16406 16411 16415 16417 16435 16437 16439 16443 16450 16460-16462 16464-16465 16472 16492 16494 16496 16498 16508 16514 16530-16533 16535-16536 16538 16545 16553 16560 16564-16566 16568 16571-16573 16580 16582 16584-16586 16592-16593 16612 16614 16616 16620 16624 16626 16635 16670 16691 16699 16736 16775 16831 16839 16844 16901 16908 16918 16921 16923 16925-16927 16932-16933 16945 16947 16949 16952 16958 16960 16962-16963 16968 16980 16983-16985 16988-16989 17003 17009 17015 17026 17038 17043 17045 17051 17068 17080 17092 17097 17117 17125 17172 17185 17242 17247 17253 17292 17316 17326 17359-17360 17397 17403 17407 17437 17457 17495 17497 17502 17519 17524-17525 17528 17542 17546 17552 17580 17593-17594 17607 17611 17618 17623 17626-17627 17656 17661 17670-17671 17673 17676 17679-17680 17683-17684 17689 17701 17703 17705 17711 17713 17715 17724-17725 17731 17733-17734 17736 17740-17741 17760 17762 17785 17804 17825 17827-17829 17852 17859 17866 17883 17940 17948 17965 17968 17979 17988 18004 18029-18031 18036 18049 18069 18072-18073 18075 18077 18079 18088-18089 18091 18093 18103-18104 18116 18127 18130 18132 18134 18136 18147 18151 18164 18180 18201 18203 18207 18211 18282 18299 18301 18315 18336 18394 18398 18407 18413 18432 18438 18441 18448 18453 18503-18505 18558-18559 18580 18582 18588 18596 18609 18620 18641-18642 18653 18662 18675 18683 18689 18713 18729 18731 18745 18763 18769 18782 18792 18798 18801 18807 18809 18815 18824 18836 18854 18856-18857 18860 18862 18876 18885 18893 18895 18898 18913-18914 18916 18918 18921 18923 18932 18935 18937-18940 18951 18991 18998-18999 19005 19025-19026 19032 19036 19059-19061 19064-19065 19094 19100 19108 19118 19125 19130-19131 19133 19140 19146 19158 19192 19199 19201 19203-19204 19213 19223 19225 19230 19235 19237-19238 19240-19241 19243 19246 19249-19250 19256 19260-19262 19271-19273 19276 19279 19282-19283 19287 19290 19292-19293 19301 19304 19309 19312 19321 19325 19334 19336 19349 19361 19381 19386 19388 19395 19401 19410-19411 19416 19422 19439 19441 19445-19446 19456 19460 19463-19465 19470 19476-19477 19480 19489 19492 19505 19507 19513-19514 19536-19537 19543 19555 19564 19583 19585 19588 19595 19604 19617 19627 19629 19636 19645 19662 19700 19727 19737 19751 19753 19758 19760 19774 19786 19789 19794 19798 19800 19806 19810 19824 19827 19836 19839 19842-19843 19853-19854 19858 19873 19878 19887 19890-19891 19894 19896 19922 19938 19948 19955 19957-19958 19978 19982-19983 20000 20008 20011 20021 20035 20041 20058 20084 20109 20113 20119 20139 20157 20205 20209 20226 20230 20239-20240 20288 20290 20323-20324 20326 20372 20384 20388 20399 20416 20429 20446 20452 20479 20481 20483 20485 20487-20489 20491 20494 20501-20504 20507 20509-20510 20512 20515-20516 20518 20521 20524 20526 20529-20531 20533 20535-20537 20541 20543 20546 20551 20553 20555 20560 20566 20572 20576 20583 20587 20589-20594 20597-20598 20600 20602 20605-20606 20609 20614-20616 20620 20631-20632 20636 20639 20643 20645 20647 20653-20654 20666 20672 20677 20681 20686 20692 20696-20697 20701 20704 20711 20713 20715 20718-20720 20726-20727 20735 20737 20740 20743-20744 20747-20749 20751 20758 20761-20763 20766-20767 20770 20782 20784-20785 20787 20793 20795 20804 20808 20815 20817-20819 20821 20836 20840-20842 20846 20860 20866-20867 20872 20876 20879 20883-20885 20887 20892-20893 20895-20896 20899 20903 20916-20917 20920 20928 20930-20932 20936 20938 20949 20960 20962 20971 20973 20976 20978 20982 20987 21008-21009 21012 21014-21015 21031 21037 21063 21074 21076 21082 21094 21104 21110 21113-21114 21120 21123 21145 21152 21158 21163-21164 21167-21168 21170 21172 21186 21189-21193 21195 21198-21199 21202 21208 21210 21213-21214 21217 21222 21224 21227 21229 21241 21248 21250 21256 21260 21280 21287 21290 21292 21300-21301 21303 21307-21308 21319 21327 21329 21332 21336 21338 21354 21360-21361 21368 21372 21375 21387 21389 21391 21396-21397 21401 21410-21411 21415 21432 21435-21436 21460 21472-21473 21485-21486 21490 21493 21496 21502 21505 21508-21509 21511 21513-21515 21532 21534 21540-21541 21547-21549 21556 21558-21559 21564 21566 21569-21570 21576 21581 21583 21586 21589 21592 21594 21599 21603-21605 21607 21612 21615-21618 21620 21622-21623 21628 21630-21631 21635-21636 21642 21646-21647 21649-21651 21657-21658 21660 21662-21663 21669 21685 21688 21691-21692 21695 21704 21717 21719 21721 21726 21741 21748 21753 21761-21763 21766 21768-21769 21771 21784 21786-21787 21803 21805-21807 21812 21814 21820 21822 21829-21830 21839 21846-21847 21849 21852 21861 21878 21890 21894 21904-21905 21909-21910 21916-21917 21929 21938 21944 21947 21949-21950 21974 21980 21985 21990 21993 21997 22005 22012 22024 22030 22060 22070 22074 22078 22081-22082 22084 22087 22091 22096-22097 22099 22111-22112 22136 22138-22139 22141 22152 22156 22170 22176 22182-22183 22185 22189 22198 22200 22207 22214 22227 22235 22238 22244 22262-22263 22269 22271-22272 22274-22275 22277 22281 22285 22287-22288 22291-22293 22295-22298 22301-22302 22316-22317 22324-22326 22328 22331-22332 22335 22337 22344 22347 22349 22355 22359 22368 22376 22380 22387 22404 22416 22419 22422 22430 22434-22435 22439 22442-22443 22450 22456-22457 22460 22464 22474 22477 22479 22496 22502 22504 22506-22508 22511 22524 22530 22542 22558 22561 22563 22565-22566 22571 22575 22583 22591-22592 22595 22605 22611 22613 22619 22622 22628-22630 22635 22638-22639 22644 22647-22648 22650-22651 22656 22665 22667 22670 22675-22676 22685 22709 22713 22719-22721 22724 22728 22730 22736 22741 22744 22759 22761 22763 22777 22784 22797 22811 22814 22819 22825-22827 22830 22832-22834 22845 22847 22849-22850 22864-22865 22869-22870 22874 22882 22885 22888 22892-22893 22906-22908 22911-22912 22918 22920 22928 22931 22935 22941 22961 22965 22970 22975-22978 22981 22985 22987 22990-22991 23002 23008 23010 23015 23017-23019 23021-23024 23026 23035 23040 23045 23047 23051 23070 23074 23099 23112 23115-23116 23129 23136 23139-23140 23152 23155 23171 23182 23196 23252-23253 23257 23261 23273 23285-23286 23292 23298 23313 23315 23318 23321 23324-23325 23329 23333 23335 23339 23344-23345 23355-23356 23358-23359 23368-23370 23376-23378 23381-23383 23392-23393 23395 23427 23443-23444 23448 23450-23451 23453-23455 23463 23472 23474 23482 23484 23486-23487 23489-23490 23516 23518 23540-23542 23552 23565 23579 23581 23593 23595 23603 23611 23616 23628 23634 23636 23646 23649 23651 23657 23661 23663 23680 23682 23689 23697 23704 23710-23711 23714 23720-23722 23726 23744-23745 23751-23752 23755 23768 23771 23780 23786 23789 23791 23801-23803 23808-23810 23814-23815 23819-23820 23822 23829-23831 23835 23840 23853-23855 23857-23859 23864 23866-23867 23869-23872 23876-23877 23879 23883-23884 23888 23891 23893 23898 23909 23911 23916 23930 23933 23935 23940-23941 23946 23950-23953 23955-23956 23958-23961 23963 23969 23971 23973-23974 23984-23985 23987 23989-23992 23994 23997-23999 24003 24005-24006 24009 24012 24016 24019 24027 24030-24031 24041-24043 24045-24047 24056-24057 24059-24060 24065 24068 24070 24075 24083-24084 24088 24092 24094 24096 24098-24099 24101 24103 24113 24115 24124-24126 24130 24137 24139 24144 24151 24158 24162 24168 24173 24175 24177 24184-24185 24190 24212 24214-24215 24220-24221 24223 24244-24246 24248-24249 24251 24258-24259 24264 24266 24279 24289 24298 24307 24310-24311 24316 24320 24322 24329 24336-24337 24341 24348 24357 24361 24363 24372 24386-24387 24393 24397 24401 24403 24406-24408 24411 24415 24417 24419 24427 24430 24433 24436-24437 24443 24449-24450 24455 24474-24475 24494 24513 24515 24518-24519 24521 24523 24526 24531 24539-24541 24546-24548 24550-24551 24555 24558-24559 24561 24573 24575 24578 24585 24590 24598 24605 24610 24612 24616-24618 24621 24634 24640-24642 24649 24654-24655 24660 24669-24670 24677 24679 24693 24699 24703-24705 24707 24709-24711 24720 24723-24725 24729-24731 24733 24735 24737 24739 24741-24744 24746 24748 24750-24753 24755-24757 24759-24760 24768 24770 24782-24783 24796 24809-24810 24812-24813 24824 24834 24837 24855-24856 24858 24861-24862 24875-24876 24880 24885 24891 24893-24894 24902 24911 24915 24918 24933 24939 24951 24957 24963 24966 24970 24985 24988 24994 25021-25022 25027 25033 25037 25039 25049 25072 25078 25091 25103-25104 25106-25107 25110 25114 25127 25129 25131-25132 25134 25138 25151 25161 25163 25169 25183-25186 25194 25207-25208 25212-25213 25224-25225 25231 25240 25248 25252-25254 25257 25262 25268 25277 25281 25294 25296 25315 25320 25326-25328 25338 25344 25363 25367 25372 25376 25380 25382-25384 25386 25388 25390 25408 25410 25422 25434 25445 25457 25462 25468 25476 25513 25521 25553 25564 25573 25575 25586 25617 25635 25649 25653 25658 25689 25723 25737 25741 25751 25767 25777 25787 25793 25806-25807 25812 25857 25902 25919 25952 25955 25970-25971 25976 26047 26116 26122 26131 26134 26169 26180 26227 26232 26244 26260 26286 26302 26321 26330 26338 26352 26377 26384-26385 26395 26444 26488 26540 26567 26579 26632-26633 26635-26636 26638 26642 26647 26653 26658 26660 26665-26666 26668-26670 26672 26675 26687 26694 26703 26707 26710 26720 26725 26729 26736 26739 26750 26752 26755-26757 26760-26762 26765-26766 26768 26777 26781-26783 26785 26788 26791 26793-26794 26799 26824 26826 26832-26833 26836-26837 26847 26849 26856 26858 26865-26866 26870 26872 26885 26918 26926 26951 26968 26976 26978 27011 27022 27027 27029 27044 27062 27081 27107 27131 27133 27138 27140 27142 27154 27157 27160 27163-27164 27169 27172 27176-27177 27179-27180 27191 27205 27209 27214 27217 27237 27268 27279-27280 27292 27298 27303 27306 27311-27313 27320 27328 27334 27351 27358-27359 27365 27373 27391 27422 27432 27440 27455 27457 27476 27520-27521 27537 27551 27582 27620 27631 27645 27748 27758-27759 27773 27821 27860 27895 27927 27933 27948 27965 27996 28013-28014 28022 28027 28041 28053 28072 28079 28085 28103 28108 28116 28118 28123 28128 28130-28131 28133-28134 28136-28138 28140-28141 28144 28150-28151 28156 28171 28198 28201 28227 28233 28244 28246 28270 28272 28286 28340 28377 28397 28401 28416 28437 28439-28440 28442 28444-28445 28447 28452-28453 28455 28457 28467 28494 28496 28499-28500 28506 28508-28509 28515 28526 28537 28560 28626 28649 28682-28683 28688-28690 28693-28694 28697-28699 28701 28705 28707 28712 28714-28717 28724 28726-28730 28736 28738 28740 28742 28747 28749 28753 28756-28758 28760-28762 28770-28771 28774 28776 28788-28789 28796 28800-28801 28804 28810 28817 28822 28834 28838 28840-28842 28845 28847 28856 28858 28866 28876 28892 28903 28906-28908 28921 28932 28935 28937-28938 28942-28943 28945-28946 28948 28952 28954 28957 28960-28961 28963 28969 28972-28973 28981-28982 28985 28993 28995 28998 29003 29005 29007 29011 29015 29021-29023 29026 29028 29031 29033-29035 29040-29041 29043 29050-29052 29057-29058 29060 29070-29071 29073 29076 29078 29083 29085 29087 29104 29114 29120-29121 29124-29126 29133 29136-29137 29139 29145 29148 29167 29175 29177 29181 29184 29186-29188 29190-29191 29197-29198 29201-29202 29208-29209 29211 29214 29231 29237 29245 29250-29253 29256-29257 29261-29263 29272 29277 29283 29289 29298 29307 29320 29322-29323 29330-29331 29340 29342-29343 29352-29354 29368 29370-29371 29390 29399 29409-29412 29414 29420-29421 29423 29425 29432 29434 29436 29438 29442 29448 29471 29473 29490 29521 29584 29591 29602 29622 29634-29635 29638 29641 29650 29654 29660 29676 29683 29689 29696-29697 29704 29707 29719 29726 29734 29740-29741 29746 29750 29753-29755 29758 29812 29814 29825-29828 29830 29832 29834-29836 29838 29849 29855 29872 29876 29890 29894 29897-29898 29905 29913-29914 29921 29923-29924 29926 29929 29938 29947 29978 30008 30020 30031 30033 30037 30039 30045 30059 30070 30074 30122 30276 30317 30339 30342 30346 30360 30363 30365 30371 30373-30374 30380-30381 30386-30387 30390 30393-30395 30397-30398 30405 30407-30408 30411 30415 30419 30425 30427 30454 30456-30458 30517 30563 30590 30592 30634 30640 30658 30673 30679 30693 30695 30748-30750 30752 30754 30761 30766-30767 30780 30782-30783 30788 30790-30794 30800-30802 30804 30809 30811-30812 30815 30821 30823 30833-30834 30838-30842 30845 30847 30851 30853-30855 30857 30859-30862 30864-30865 30867-30868 30878-30880 30888 30893 30896-30898 30900 30902-30904 30906-30907 30912-30913 30915 30924-30925 30927-30929 30931-30932 30935 30939 30945 30947 30952 30956-30958 30960-30961 30965-30970 30975-30976 30983-30984 30986 30989 30991 31003 31006 31008 31010-31011 31015-31016 31018-31019 31027 31036 31038 31068 31074 31082 31105 31107-31109 31113-31116 31119 31122-31124 31128 31131 31134 31136 31138-31139 31144-31146 31149-31150 31154 31157 31159 31162-31163 31166-31167 31170 31176 31178-31179 31193 31202 31206 31208 31211 31226-31227 31231-31232 31245 31248 31251 31259 31263 31266 31274 31277 31285 31288 31297-31298 31301 31304 31306-31308 31310-31313 31316-31317 31327 31331 31333-31335 31351 31364-31365 31369 31379 31399 31413 31427 31440 31444-31445 31463 31468-31469 31481 31488-31489 31491-31493 31495 31499 31501 31503 31505-31507 31510 31512 31514-31515 31520 31522-31524 31526 31530 31532 31537-31538 31543-31546 31548 31550-31551 31553 31555 31557 31562 31566-31567 31572 31576 31578-31579 31588 31594 31597-31598 31600-31601 31605 31607-31609 31612-31614 31616 31620 31627 31632 31634-31635 31637-31640 31645 31650 31665 31667 31672-31673 31680 31682 31689-31691 31696-31697 31700-31701 31704 31715 31719 31723 31730 31734 31737 31741 31743 31747-31748 31765 31775 31785 31787 31790 31797 31820-31821 31828 31831-31832 31836 31868-31869 31881 31890-31891 31905 31910 31973 31979 31981 31990-31991 31993-31995 32002-32004 32006-32008 32011-32014 32016 32025 32049 32055 32061 32063 32073 32097 32099 32101 32103 32120 32122-32123 32126 32151 32158 32162 32164-32166 32170-32172 32174-32175 32186 32193 32195-32197 32199 32201 32205-32206 32231 32240 32244-32245 32247 32250 32253-32254 32257-32258 32265-32266 32268-32270 32274 32285-32286 32291 32296 32298 32304 32314 32318 32336 32340 32348-32349 32357 32359 32365 32367 32373 32385-32388 32397 32405-32406 32408-32409 32412 32415 32421-32422 32430 32433 32437 32439-32440 32448 32462 32475 32478 32480 32484 32487-32490 32493 32501 32505 32507-32508 32518-32520 32522 32524-32525 32527-32528 32536 32538 32545 32549 32551 32560 32563 32571-32572 32575 32595 32597-32601 32604-32605 32607 32629 32643 32653 32655 32657 32659 32661 32663 32671 32676 32692 32695 32698 32706 32712 32744 32775 32783 32789 32823 32841 32844 32864 32890-32891 32930 32937 32952 32980 33006 33034 33040 33045 33052 33055 33060 33065 33068-33069 33072 33074-33075 33080-33082 33084 33086-33088 33092 33094-33095 33097-33099 33112-33114 33116 33118 33124-33126 33129-33130 33135-33138 33141-33142 33145 33150 33156 33159 33169 33171 33175 33180 33183 33186 33227 33234 33251 33270 33312 33359 33367 33382 33406 33464 33499-33501 33517 33520 33523 33539 33550 33554 33583 33594 33618 33630 33647 33666 33694 33737 33756 33792-33793 33799-33802 33816 33822 33824 33843 33848 33851-33852 33866-33867 33871 33890 33902 33908 33912-33913 33928 33949-33950 33955 33957 33965 33970 33984 33986 33989 33993 34003 34013 34016 34023 34036 34041 34047 34050 34058 34068-34069 34073 34078 34096-34097 34100-34101 34108 34111 34113 34119 34125-34127 34129 34133-34134 34139 34141 34144 34146 34164 34166 34173 34175 34178 34180 34184 34187-34188 34192 34197 34200 34202-34203 34206 34212-34213 34220 34222 34227 34237 34240-34241 34251 34259-34260 34272 34280 34287 34292 34294 34299 34317 34319 34322 34325 34327 34334 34338 34341 34346 34369 34382 34385-34388 34398 34403 34406 34408 34410 34423 34426 34434 34436 34450 34487 34491 34500 34509 34520 34544 34556 34560-34561 34565 34576 34583 34586 34588 34594-34595 34597 34600 34609 34611 34624-34625 34639 34647 34649 34658 34660 34664-34665 34667 34679 34701-34702 34725 34732-34733 34737 34741-34742 34746 34750 34753-34754 34757 34759 34765 34769-34770 34786 34796 34800-34801 34804 34809 34819 34823 34825 34829-34830 34838 34840 34843 34874 34880 34886 34889 34896 34930 34959 34963 34975 35092 35120 35123 35149 35189 35234-35235 35285 35351 35390-35391 35404 35409 35414-35415 35421-35422 35447-35448 35450 35497 35505 35510-35511 35518-35519 35527-35528 35531 35533-35535 35538 35543-35544 35546 35548 35552-35553 35556-35557 35561 35568 35570-35571 35617 35629 35640 35645 35676 35691 35702 35714 35725 35736 35744 35780 35846 35853 35861 35863 36012 36031 36060 36073 36109 36125 36135 36169-36170 36174 36176 36179 36188 36195 36199 36207 36214 36218 36245 36267 36269 36295 36302 36313 36322 36340 36358 36371 36392 36434 36443-36444 36449 36475 36532 36631 36671 36696 36713 36717 36725-36726 36764 36787 36791 36799-36800 36816 36821 36857 36865 36867 36871 36882 36884-36885 36887 36893 36896 36903 36906-36907 36909 36911-36913 36915 36922 36926 36928 36938 36940 36951 36959 36963 36965-36966 36969-36971 36974-36975 36977 36985-36987 36989 36995 36999 37006-37008 37010 37020 37024 37028 37035 37044-37045 37047-37048 37058 37060 37063 37065 37069 37072 37076 37078 37083-37085 37087-37089 37092-37093 37097 37099 37104 37106-37107 37112 37114 37116-37117 37121-37124 37127 37129-37134 37141-37142 37150-37151 37161-37162 37164 37166 37170 37172 37177 37183 37192-37193 37197 37199 37202 37206-37207 37209-37213 37215 37217-37220 37222-37223 37234 37238 37240 37242-37243 37248 37251 37253-37254 37256 37262 37264 37269-37271 37273 37275 37280 37282 37286 37289 37297 37305 37307-37310 37316-37318 37324-37325 37327 37337-37339 37344 37346-37348 37352 37354-37355 37357-37359 37394-37396 37398 37401-37402 37404-37406 37413 37421-37423 37432 37435-37437 37440 37442 37445 37447 37451 37460 37468 37473-37475 37481-37483 37485-37487 37492 37494-37495 37500-37502 37506-37508 37513 37518 37523-37525 37530 37533 37535 37538 37544-37546 37557-37559 37563 37567 37569 37571 37600-37601 37603 37609 37611 37620-37622 37628-37630 37635 37639 37642-37644 37646-37647 37649 37651 37656 37659-37662 37667 37669-37673 37675 37680-37682 37686-37689 37692 37694 37697 37699 37701 37704 37707 37709-37711 37713-37715 37730 37732 37735-37736 37739 37741 37743 37780 37784 37786 37791-37792 37795 37800 37802-37803 37808-37809 37812 37814 37818 37822 37828-37829 37831 37835 37837-37839 37844-37846 37859 37864 37876 37878-37879 37884 37886 37889-37892 37894-37895 37897 37899 37904-37905 37907 37916 37918 37920-37921 37923 37940 37942 37955-37957 37959 37962 37972-37973 37978 37990-37991 37994 38013 38015 38028-38030 38040 38052 38055-38058 38065-38066 38069 38074 38076 38084 38087-38089 38091-38094 38098-38100 38102 38107 38110 38112 38115 38117 38119-38121 38123 38129-38130 38136 38138-38139 38144-38145 38148-38149 38151 38153-38154 38159 38161 38163 38165-38166 38168 38172 38178 38186 38188-38189 38194-38195 38200-38201 38203 38216 38229 38234-38235 38241-38243 38257-38259 38272-38273 38280-38281 38299-38302 38309-38310 38312 38314-38316 38318 38320-38321 38330 38334-38335 38368-38370 38372-38373 38375 38378 38380-38381 38385 38387 38392 38394-38395 38402 38406 38410-38411 38420 38423 38429 38431-38432 38434 38442 38463-38465 38467 38473 38475 38484 38486-38490 38497-38499 38504 38507-38508 38512-38513 38515-38516 38520 38522-38523 38526 38528 38533 38545 38548-38549 38551 38560 38567 38576 38583 38593 38596 38598 38600-38601 38603 38605 38609-38610 38614-38615 38617 38619-38622 38628 38630-38632 38638-38639 38642-38643 38648 38650 38655-38657 38661 38667 38673 38681-38683 38686-38687 38691 38693 38695-38696 38701-38706 38709-38710 38712 38715-38718 38720 38722-38723 38725 38730 38734-38736 38738 38742-38744 38748 38751 38761 38763-38764 38767 38769 38771-38774 38776 38780 38782-38783 38785 38789-38791 38796 38798-38799 38809-38810 38812-38813 38815-38816 38821 38828-38829 38843 38848-38849 38851-38852 38855-38856 38858-38859 38861 38865 38869 38872 38875 38877 38882 38885-38887 38892-38894 38897 38902-38903 38905-38907 38933-38935 38960 38964 38966 38978 38985-38987 39000 39002 39008 39015 39017 39020-39022 39028-39029 39031 39033-39035 39037-39040 39044 39057 39062 39064 39066 39073 39076 39078 39098 39102-39103 39108-39109 39111 39114 39116-39117 39119-39120 39122-39123 39128-39130 39136 39139 39141 39143 39145 39147-39149 39151 39172-39174 39177-39178 39180 39182-39185 39189 39194 39201-39202 39204 39206 39208 39210-39212 39214 39216 39232 39235 39240 39243 39254-39255 39260 39263 39265 39285 39296 39298 39324 39326 39335-39336 39338-39339 39347 39349 39356 39358 39363 39369 39373-39375 39382 39384-39385 39387 39389 39392 39396-39398 39408-39409 39411 39414 39418 39420 39422 39428 39431 39436-39437 39441 39443-39445 39451-39452 39454 39457-39459 39464-39465 39467 39469 39473-39474 39477 39480-39481 39483-39486 39489 39491 39496 39498 39500-39502 39522 39524-39525 39528 39531 39536-39537 39539 39544-39545 39547 39553-39555 39559 39562-39563 39565-39567 39577-39578 39581 39585-39587 39594-39595 39598-39601 39603-39604 39610-39611 39613 39616-39617 39619 39622 39624 39627 39631 39633 39641-39642 39644-39646 39648 39653-39655 39658 39661 39663 39665 39668-39670 39672 39674-39675 39677 39684 39694 39709 39716 39718 39724 39726-39728 39730 39739 39749 39751 39758 39764 39766-39770 39781 39783 39791-39794 39796-39797 39799-39802 39807 39826 39830 39834 39838 39840-39841 39843 39849 39851 39858-39859 39861 39873 39888 39891 39893-39898 39900 39907 39922 39924 39930-39932 39944 39967 39977 39988 39993 40009 40016 40019 40021-40022 40026-40028 40030-40032 40037 40039 40041 40045 40048 40053 40057-40058 40061-40062 40066-40067 40079 40089-40090 40095 40106 40119 40125 40135 40142 40150 40156 40161-40163 40165 40168 40176-40177 40181 40185 40188 40190 40195 40197 40202-40204 40206-40207 40209-40210 40219 40227 40230 40233-40234 40239-40242 40244-40245 40247 40249-40250 40252 40255 40257-40258 40269-40271 40273-40274 40276-40277 40279-40282 40285 40287 40290 40296 40299 40304-40306 40309 40321-40322 40334 40336 40343 40345 40348-40349 40356 40365-40366 40371 40375 40380 40384 40386-40387 40389-40390 40393 40396 40399 40404-40406 40412 40414-40416 40420-40421 40430 40432-40433 40435-40436 40439-40442 40444-40446 40448 40451 40453 40458 40473 40480 40482-40483 40494 40497 40501 40512 40522 40529 40534-40535 40540 40547 40555-40556 40559 40561 40572 40577-40579 40581-40582 40584-40585 40594 40598 40600-40601 40605 40609 40611 40614-40615 40617 40626-40627 40632 40634-40635 40637 40642 40648-40649 40658 40670 40684-40685 40689 40701 40703-40704 40720 40727 40736-40737 40744 40746 40749-40750 40757 40774 40777 40779 40784-40786 40788 40790 40792-40793 40796 40799 40804-40805 40813 40819 40821-40822 40824-40826 40837 40865-40866 40872 40875 40903-40904 40909 40957 40975 41001 41005 41019 41021 41034 41047 41083 41101 41103 41111 41113 41115-41118 41123 41126-41127 41129-41130 41134 41136 41139-41140 41142 41144 41147 41150-41151 41154-41155 41157-41158 41163 41171-41172 41174 41177 41180-41181 41186-41187 41190-41191 41202 41208 41247 41251 41257-41259 41264 41266-41267 41285 41291 41294-41296 41299 41305-41307 41310-41311 41324-41326 41332-41334 41340 41344-41345 41348 41350-41352 41356 41358 41360-41362 41372 41379 41387 41390 41392-41393 41398-41401 41403-41405 41407 41412 41422 41425 41429 41434-41435 41437-41439 41441-41443 41456-41457 41472 41474-41476 41478-41479 41481-41483 41486-41487 41489-41490 41493 41498 41504-41505 41507-41510 41512-41514 41516 41518 41521-41522 41530 41539 41548 41558-41560 41564 41583-41584 41587 41607-41608 41619-41620 41622 41624 41637 41643-41644 41646 41650 41661-41662 41664 41678 41686 41689-41690 41697-41698 41701-41705 41708 41710 41715 41719 41723 41727 41729 41735 41737 41768 41773 41800 41805 41819-41820 41839 41854-41855 41857 41886 41891 41894 41896 41899 41901 41903 41917-41919 41943 41946-41947 41949-41951 41958-41962 41991-41992 41994-41995 41997-41999 42003 42006 42008 42010 42013 42020 42023-42024 42035 42037 42048-42049 42051-42053 42058 42064-42065 42068-42070 42073 42077 42079 42083-42084 42092 42094 42096-42098 42100-42101 42103 42107-42110 42116 42120-42121 42125 42130-42131 42133 42135-42137 42147 42154 42158 42161 42171-42172 42174-42176 42180 42186 42191 42195 42200 42205-42206 42214 42216 42223-42224 42228 42230 42235 42238-42239 42243 42245 42247 42276 42278-42279 42281 42283 42288-42289 42292-42293 42302-42303 42308-42310 42318 42321 42323 42326 42330-42331 42335 42340 42346-42348 42350-42351 42353 42357 42361-42363 42366-42367 42369 42372 42385 42388 42393 42398-42399 42402 42405-42406 42408 42410-42411 42416 42418-42419 42428 42430-42431 42434 42441-42444 42446-42447 42452-42453 42458 42468-42470 42476 42480-42482 42484 42487 42490 42493 42495 42508-42510 42521 42523 42525-42527 42529 42538 42541 42544-42546 42548-42549 42551 42557 42559 42561-42564 42566 42577-42579 42584-42586 42588-42590 42597 42600 42603-42606 42608 42610-42611 42617-42619 42627 42640-42642 42644-42646 42664-42666 42668 42670-42674 42676-42677 42680-42681 42683-42685 42687 42722-42725 42727 42732-42734 42760 42763-42764 42766-42770 42773-42774 42778-42779 42782-42783 42817-42818 42821 42823 42826 42828-42829 42832-42833 42835 42840-42842 42844 42846-42847 42870 43008-43010 43015-43016 43018-43022 43029 43032 43034-43035 43037-43039 43043 43047-43050 43053 43055 43057 43060 43062-43065 43067 43073 43075-43076 43080 43085 43090-43091 43093-43095 43097 43105 43107 43110-43111 43113-43114 43117-43119 43132-43133 43136 43139-43142 43144 43146-43149 43152 43164 43166-43168 43170-43172 43174-43175 43177 43180 43182-43183 43188-43190 43192-43193 43195-43198 43204-43206 43217 43219-43220 43223-43224 43227 43229-43230 43232-43233 43235-43238 43240-43241 43243 43251 43256-43258 43260 43262 43266-43267 43270-43274 43282 43296 43298-43299 43301-43304 43307-43308 43310 43312 43315 43319 43321-43323 43327-43328 43330-43333 43341-43342 43349 43355 43358 43360-43361 43363 43365 43367 43373 43375 43377 43380 43382 43390 43397-43399 43404-43405 43408 43411-43412 43414 43416-43417 43420-43421 43423 43429-43433 43436 43442-43444 43452 43460 43464-43465 43468-43469 43473 43479 43481 43487 43497 43502 43512 43520 43522-43523 43526-43527 43529-43533 43535-43538 43542-43546 43549-43550 43553 43555 43559 43561 43563 43570 43572 43580 43582 43584-43585 43587-43588 43592 43595 43602-43603 43608 43610 43614-43616 43628-43629 43631-43632 43640 43642-43643 43648 43656 43663 43669 43679 43691 43693 43695 43703 43710 43718-43719 43727 43730 43733-43734 43737 43741 43751-43752 43754 43757 43759 43768 43771 43773 43776-43777 43783 43792 43799 43810 43824 43831 43844 43846 43872 43877 43900 43917 43943-43944 43949 43960 43962 43965 43967 43971 43979 43985 44001 44003 44017-44018 44032 44034 44036 44038-44040 44047 44057-44060 44062-44063 44068-44069 44072-44074 44079-44080 44085-44088 44092 44094 44097-44101 44103-44105 44107 44116-44118 44124 44127 44129-44130 44132-44133 44135 44138-44139 44142 44144 44146-44147 44149 44153 44157 44159 44164 44189 44196 44209 44226 44228 44232 44239 44247-44248 44258 44275 44287 44289-44292 44295 44297-44299 44301-44303 44321-44322 44324 44327 44329-44330 44333-44334 44337-44341 44344 44347 44349 44360 44362-44363 44377-44378 44380-44381 44383 44385 44387 44393-44395 44404-44405 44409 44411-44414 44419-44420 44431-44432 44437 44439 44441 44445 44456 44468 44470 44477 44480 44491 44497 44500 44506 44508-44510 44512 44515 44525 44532-44533 44538 44543 44545 44675 44795-44796 44800 44825 44845 44855 44862 44874 44880 44891 44899 44901 44912 44950 44952 44979 45012 45022 45031 45058 45072-45073 45110 45112 45120 45131 45177 45195 45197 45201 45270 45280 45297 45324 45330 45338 45345 45366 45378 45382 45389 45418 45420 45429 45446 45456-45458 45467-45468 45470 45476 45489 45492 45494 45503 45510 45512-45514 45517-45518 45528 45530-45531 45538 45542 45544 45548 45550 45553 45555-45556 45562-45564 45567-45568 45581 45602 45626 45628 45634 45642 45656 45668 45681-45682 45741 45777 45786 45789 45791 45819 45821-45822 45843 45852 45855 45868 45870 45875 45880-45882 45885-45886 45888-45889 45893-45898 45902-45904 45911 45914-45915 45917-45918 45921 45925 45927-45928 45932 45934 45947-45948 45953 45956 45960 45963 45975 45977-45980 45982 45987-45989 45991-45993 45995-45996 45998-45999 46001-46004 46007-46009 46011 46020 46022-46024 46033 46036-46037 46040 46043 46045-46048 46051 46053 46055 46058-46059 46061-46062 46069 46078 46084 46102 46117 46185 46188 46206-46207 46224 46246-46247 46267 46304-46305 46309 46380 46390 46418 46429 46462 46468 46479 46500 46529 46537-46538 46556 46580 46607 46610 46612 46618 46621-46623 46625 46630 46632 46634-46635 46643 46650-46651 46664 46674 46692 46695 46720 46725 46738-46739 46743 46764 46772 46775 46783 46837 46839 46842 46847 46856-46858 46860 46917 46919 46932 46934-46936 46960 46973 46976 46981 46985-46986 46990 47011-47013 47015 47024 47026 47030-47034 47037 47061 47063 47071 47087 47092-47093 47095 47104 47107 47125 47137 47163 47180 47183 47187 47190-47191 47199 47217 47219 47221 47223 47227 47229 47231-47232 47234 47236 47239 47242-47244 47246 47248 47251 47256-47258 47262 47281-47282 47288 47290-47291 47312 47317-47318 47320 47328 47358 47361 47363 47372-47373 47376 47378-47379 47386 47388 47391-47392 47394 47399 47401 47408 47412-47414 47417 47426 47430 47432 47435-47437 47439-47440 47445-47446 47451-47452 47457-47458 47460 47464 47491 47493-47494 47499 47504-47505 47517 47524 47554 47578 47596 47617-47618 47626 47636 47638-47639 47644-47646 47650 47652-47654 47658 47662 47664-47665 47683 47688-47689 47694 47706 47712 47714 47720 47737 47742 47748 47756 47775 47779 47783-47785 47790-47792 47799 47804 47807 47812 47814 47816 47822 47824 47826-47827 47830 47836 47838 47842 47844-47846 47869-47870 47886 47903 47939 47951 48015 48023 48029 48032 48037 48039-48041 48044-48045 48048 48052 48056 48061-48063 48070-48071 48079 48082 48096 48104 48107 48194 48211 48234 48250 48287 48292 48304 48355 48362 48387 48393 48396-48397 48399-48400 48406 48408-48409 48411 48413-48414 48416 48419 48421-48422 48424 48429-48430 48433-48436 48440 48442-48443 48448 48459 48480 48482 48486 48488-48490 48497 48513 48517 48528-48529 48531 48536-48537 48549 48560-48562 48568 48571 48573-48576 48579 48581-48583 48590 48592 48594 48608 48612-48613 48616-48617 48619-48620 48622 48633-48634 48647 48697 48727 48781 48790 48798 48806 48861 48916 48919 48929 48949 48957 48965-48966 48970-48974 48985 48992 48998-48999 49046 49059-49061 49067 49097 49112-49113 49149-49150 https://cdsarc.cds.unistra.fr/viz-bin/moc/J/ApJ/961/113?format=ascii default J/ApJ/961/113/table1 Group membership selection recno Record number assigned by the VizieR team. Should Not be used for identification. meta.record int Gaia Gaia DR3 source identifier meta.id;meta.main RA_ICRS Gaia DR3 Right Ascension (ICRS) at Epoch=2016.0 deg pos.eq.ra;meta.main indexed DE_ICRS [-89/90] Gaia DR3 Declination (ICRS) at Epoch=2016.0) deg pos.eq.dec;meta.main indexed Group [1/92] Group number meta.id.parent int Simbad Simbad column added by the CDS meta.ref.url char
J/ApJ/961/113/table2 Main parameters of the 92 action-angle groups recno Record number assigned by the VizieR team. Should Not be used for identification. meta.record int Group [1/92] Group number meta.id;meta.main int primary Nstar [107/5236] Number of member stars meta.number int Jr [0.098/41.22] Action in the radial direction kpc.km.s**-1 arith.grad;phys.veloc double Jp [1561.3/1976.3] Action in the angular direction kpc.km.s**-1 arith.grad;phys.veloc double Jz [0.018/2.11] Action in the z direction kpc.km.s**-1 arith.grad;phys.veloc double Theta-r [0.06/6.26] Angle in the radial direction rad pos.posAng double Theta-p [0.0079/6.28] Angle in the angular direction rad pos.posAng double Theta-z [0.11/6.25] Angle in the z direction rad pos.posAng double logAge [7.3/9.3] Log Age log(yr) time.age float sigmaAge [0.05/0.45] Intrinsic age spread log(yr) time.age float FeH [0/0.1] Metallicity phys.abund.Fe float Cluster Literature Name (1) meta.id.cross char SimbadName Simbad column added by the CDS meta.id char nullable