Gaia-DR2 100pc white dwarf population J/MNRAS/485/5573 ivo://CDS.VizieR/J/MNRAS/485/5573 doi:10.26093/cds/vizier.74855573 CDS Torres S. Cantero C. Rebassa-Mansergas A. Skorobogatov G.,Jimenez-Esteban F.M. Solano E. 2024-08-19T20:17:54Z 2022-12-01T14:18:05Z CDS support team CDS, Observatoire de Strasbourg, 11 rue de l'Universite, F-67000 Strasbourg, France cds-question@unistra.fr white-dwarf-stars stellar-populations milky-way-galaxy astronomical-models visible-astronomy Gaia-DR2 has provided an unprecedented number of white dwarf candidates of our Galaxy. In particular, it is estimated that Gaia-DR2 has observed nearly 400000 of these objects and close to 18000 up to 100pc from the Sun. This large quantity of data requires a thorough analysis in order to uncover their main Galactic population properties, in particular the thin and thick disc and halo components. Taking advantage of recent developments in artificial intelligence techniques, we make use of a detailed Random Forest algorithm to analyse an 8D space (equatorial coordinates, parallax, proper motion components, and photometric magnitudes) of accurate data provided by Gaia-DR2 within 100pc from the Sun. With the aid of a thorough and robust population synthesis code, we simulated the different components of the Galactic white dwarf population to optimize the information extracted from the algorithm for disentangling the different population components. The algorithm is first tested in a known simulated sample achieving an accuracy of 85.3 per cent. Our methodology is thoroughly compared to standard methods based on kinematic criteria demonstrating that our algorithm substantially improves previous approaches. Once trained, the algorithm is then applied to the Gaia-DR2 100pc white dwarf sample, identifying 12227 thin disc, 1410 thick disc, and 95 halo white dwarf candidates, which represent a proportion of 74:25:1, respectively. Hence, the numerical spatial densities are (3.6+/-0.4)x10^-3^pc^-3^, (1.2+/-0.4)x10^-3^pc^-3^, and (4.8+/-0.4)x10^-5^pc^-3^ for the thin disc, thick disc, and halo components, respectively. The populations thus obtained represent the most complete and volume-limited samples to date of the different components of the Galactic white dwarf population. 2019MNRAS.485.5573T https://cdsarc.cds.unistra.fr/viz-bin/cat/J/MNRAS/485/5573 Catalog Research IsServedBy TAP VizieR generic service IsServedBy Conesearch service related-to I/345 : Gaia DR2 (Gaia Collaboration, 2018) https://cds.unistra.fr/vizier-org/licences_vizier.html https://vizier.cds.unistra.fr/viz-bin/VizieR-2?-source=J/MNRAS/485/5573 https://vizier.iucaa.in/viz-bin/VizieR-2?-source=J/MNRAS/485/5573 http://vizieridia.saao.ac.za/viz-bin/VizieR-2?-source=J/MNRAS/485/5573 https://vizier.cds.unistra.fr/viz-bin/votable?-source=J/MNRAS/485/5573 https://vizier.iucaa.in/viz-bin/votable?-source=J/MNRAS/485/5573 http://vizieridia.saao.ac.za/viz-bin/votable?-source=J/MNRAS/485/5573 GET text/xml+votable https://tapvizier.cds.unistra.fr/TAPVizieR/tap Cone search capability for table J/MNRAS/485/5573/table3 (Halo white dwarf candidates within 100 pc identified by our Random Forest algorithm) https://vizier.cds.unistra.fr/viz-bin/conesearch/J/MNRAS/485/5573/table3? https://vizier.iucaa.in/viz-bin/conesearch/J/MNRAS/485/5573/table3? http://vizieridia.saao.ac.za/viz-bin/conesearch/J/MNRAS/485/5573/table3? GET text/xml+votable 180.0 50000 true 3.3518856 54.6326786 0.005555555555555556 Cone search capability for table J/MNRAS/485/5573/g100pcwd (Gaia 100 pc White Dwarf sample) https://vizier.cds.unistra.fr/viz-bin/conesearch/J/MNRAS/485/5573/g100pcwd? https://vizier.iucaa.in/viz-bin/conesearch/J/MNRAS/485/5573/g100pcwd? http://vizieridia.saao.ac.za/viz-bin/conesearch/J/MNRAS/485/5573/g100pcwd? GET text/xml+votable 180.0 50000 true 114.8324406104 20.1415369843 0.005555555555555556 5/431 780 803 850 927 1141 1352 1354 1631 1657 2755 3301 3551 4138 4539 5054 5214 5630 5772 6343 6650 6900 7757 7811 7822 8158 8358 8512 8616 8673 8890 9104 9524 10116 10359 10561 10652 10710 10919 11159 11860 12041 6/0 9-11 13-14 18 33 39 45 49-50 60 94 96-97 100-101 105 107 110 114-118 121-122 125 129 131 134 137 139-140 144-145 158 160 175 178 180-181 185 191 194 196 199 208 211 213 217 220 222 226 234 239 247 251-252 257 262-263 268 277 279-280 291 295 298-299 304 306 310 313 316 319 321 326-327 329 333 339 344-346 348 358 364 366 376-378 381 385 388 390-393 395-398 402 407 409 419 421-422 426 433-434 436 438-440 442 444 448 450 453 459 466 468-469 471 474 476-477 480 484 487-489 493 496-497 500 510-511 535 537-538 543 552 554 558 568-569 579 582 585 587 589 604 609 611 614 620 622-623 629 632 636 639-640 642-643 649 651 653 657 660 669 672 677-678 682-683 696-697 699 703 706 709-710 713 719 722-723 725 730 734 739 743 747 749-753 759 762 765 771 776 782 787 801 803-804 806 809 814 816 818-820 830 832 835 837 840 844 857 863 868 876 888 894-897 902 904-905 907-908 914-915 919 921 929 932 937 945 951-952 954-955 958 962-964 970-971 974 976 990 992 994 996 1004 1016 1019 1021 1023 1033 1047 1049 1051 1064 1067-1069 1073 1077 1080 1082 1085-1088 1094-1095 1098 1101 1103 1106 1109-1110 1122 1128 1131-1132 1137 1141 1144 1150 1155 1164 1167 1172 1175 1177 1180 1183 1185 1190-1191 1198-1200 1203 1206 1208 1211-1213 1216 1220 1222 1226 1241 1248-1250 1252 1259-1260 1277 1279 1285 1287 1291 1312 1317 1331-1332 1337 1339 1343-1345 1351 1354-1355 1357 1359 1362-1363 1366-1367 1376 1379 1381 1386 1388 1393-1394 1397 1400 1402 1404 1407 1409-1411 1414 1418-1419 1421 1426-1427 1432 1434 1436 1438-1439 1444 1446-1449 1453 1458-1461 1475 1477-1478 1487-1488 1490 1492 1499 1508 1511-1512 1514 1516 1519 1522 1525 1537 1539 1544-1545 1548 1554 1558 1566 1581 1593 1603-1605 1611-1612 1615 1618 1623-1624 1628 1634 1639-1640 1647 1649 1653 1655 1662 1664 1666 1675 1683 1685 1692 1694 1698 1703 1714 1717 1731 1735 1738 1740-1742 1744 1751 1753 1759-1760 1764 1768 1775 1778-1779 1782 1786-1788 1790 1799-1800 1804 1814 1818 1821 1823 1826 1829 1831 1833 1838 1848 1852 1854-1856 1859 1863-1864 1866 1869 1871 1875 1885 1889 1898 1902 1904 1912 1916 1921 1926 1928 1932 1939 1950 1957 1962 1964-1965 1968-1969 1982 1986 1990 1993-1994 1996 2003 2008 2011 2017 2029 2038-2039 2048 2051 2060 2062 2064-2065 2068-2069 2078-2080 2082 2085-2087 2089 2096 2099 2102 2105 2113 2116 2121 2126 2128 2133 2137-2139 2142 2146-2148 2151 2154 2156-2157 2159 2168 2174 2176 2179 2182-2183 2188 2191 2193 2200 2205 2216 2221 2226-2227 2230-2231 2235 2237 2243 2247 2250 2254-2255 2259 2263 2266 2269 2273 2279-2280 2286 2292 2297 2299 2304 2310 2315 2325 2328 2330 2333 2338 2341 2348-2349 2354-2355 2360 2362 2364 2366-2367 2369 2374 2378 2380-2381 2386 2391 2393 2395-2397 2402 2412 2415 2426 2432 2439 2448 2467 2479-2482 2485 2489-2490 2492 2495-2497 2502 2506 2514 2516 2518 2526-2527 2530-2531 2536 2538 2540 2542 2547 2552-2553 2557 2559 2564 2568-2569 2574 2576 2578-2579 2581 2584-2585 2593-2594 2597 2603 2606 2613-2615 2623 2631 2633 2635-2636 2644 2646 2663 2665 2674 2680-2682 2684 2700 2706 2709 2712 2715 2728 2731 2733 2736 2750-2751 2754 2759 2761 2768 2771 2776 2785-2787 2789 2795 2797 2799 2803 2808-2810 2816 2820 2824 2827 2832 2836 2839 2844 2850-2851 2853-2854 2867-2869 2871 2873 2886 2890 2899-2900 2902 2912-2913 2916 2922 2925-2926 2932-2934 2936 2945 2950 2953-2956 2965 2968 2970 2973-2974 2980 2982 2987-2988 2997-2998 3003 3009-3010 3012 3018 3020 3027 3029 3032 3043 3047 3049 3057 3066 3069-3070 3080 3087 3101 3109-3110 3125 3136 3144 3146-3150 3152 3155 3167 3170-3171 3180 3186 3195 3203 3206 3208 3210 3216 3222-3224 3236-3237 3246 3249-3250 3252 3256 3258 3260-3261 3263-3266 3276 3280 3287 3295 3297 3313-3314 3319 3329-3330 3333 3341 3343-3345 3355 3383 3385 3390 3397 3404 3406 3413-3414 3421-3423 3428 3438 3440 3443 3446 3448-3449 3452-3453 3460 3468 3472 3477 3479-3480 3482 3488 3493 3497 3499 3501 3504-3505 3508-3509 3515 3517-3518 3521 3537-3539 3541 3543 3545 3552 3554 3565 3570-3573 3576-3577 3580 3582 3593 3603 3607-3608 3617-3618 3628 3630 3635 3644 3647 3649-3650 3653 3655 3660-3662 3668 3670 3673 3682 3688 3690 3694 3700-3701 3704 3712 3719 3726 3739 3762 3766 3772 3777-3779 3781 3788 3791 3799 3804-3805 3808 3815 3818-3819 3821 3826 3832 3845 3852 3856 3861 3865-3867 3869-3871 3876 3878-3879 3887 3890 3892 3896 3909 3911 3916 3924 3931 3938 3945 3955-3957 3965-3966 3975 3977 3979 3981-3982 3984 3987-3988 3990-3992 3994 3998 4000 4025 4029 4036-4038 4042 4044 4050-4051 4061 4065 4067 4070 4079 4083 4085 4089-4090 4095 4100 4102 4110 4119 4140 4146 4149 4152 4157 4160 4162 4164 4176 4179-4180 4183 4187 4193-4194 4199-4200 4206 4210 4232-4233 4243 4246-4247 4250 4254 4261-4262 4264 4266 4274 4282 4284-4285 4292 4298 4307 4312 4316 4319 4322 4328 4333 4337 4340-4341 4344 4346 4350 4354 4359 4365 4367-4368 4374-4375 4379 4384 4386 4402 4407 4412 4415 4418-4419 4423 4429 4431 4434 4437-4438 4440-4441 4443 4450 4453 4456 4458 4463 4486 4501 4504 4506-4507 4510 4515 4517 4520 4523-4524 4527 4529 4531 4539 4543 4545 4557-4559 4569-4570 4573 4575 4580 4593 4606 4609 4611-4612 4616 4620-4621 4623 4628 4634-4635 4640 4655-4656 4668 4672-4673 4680 4687-4688 4691-4692 4700 4704 4708 4715 4718 4727 4732-4733 4736 4739 4743 4745 4747-4748 4752-4753 4756 4761 4766 4780 4783 4792 4800 4803 4808 4810-4811 4814 4816 4826 4829 4832 4845 4847-4848 4850 4859 4861 4864 4869-4871 4876 4880 4885 4887 4889-4890 4892-4894 4904 4910 4914 4917 4923 4931 4938 4942 4945 4947 4965 4967 4970-4971 4973 4977 4983 5004 5012 5023 5026 5028 5032 5037-5038 5043 5045 5049-5051 5053 5055-5057 5064-5065 5069-5070 5073 5082-5083 5087-5088 5091-5092 5094 5096-5097 5100 5106 5110 5113 5115 5118 5124 5127 5132-5133 5137-5140 5151 5153-5154 5156 5158-5159 5185 5188 5190 5192 5195 5207 5210-5211 5214 5230 5236 5241 5244-5246 5252-5253 5255 5257 5261 5268 5277 5279-5280 5292 5294 5299-5300 5305 5310 5318 5323 5327 5330 5332 5334 5343 5346-5349 5356 5363 5367 5370 5375 5377-5380 5389 5399 5415 5422 5424 5427-5429 5433 5438 5440 5450 5455 5457 5466-5467 5475 5478 5481-5482 5491 5510-5511 5519-5520 5522-5524 5526 5530 5533-5534 5539 5544-5545 5547 5559 5562 5569 5574 5581 5583 5589 5600 5603-5604 5607-5608 5611 5613 5618 5621 5629 5636 5638 5653 5659 5674-5675 5679 5694-5697 5700 5707 5709-5710 5714 5723-5724 5735-5736 5741 5743 5758 5760-5762 5764-5765 5767 5770-5772 5775 5787-5788 5791-5793 5807 5814 5816 5818 5823 5827 5830-5831 5833 5843 5848 5850 5852-5853 5858 5860 5862 5871 5875 5893 5898-5900 5904 5907 5910-5912 5922 5927 5931-5932 5938 5943 5945-5946 5948 5953 5956 5958 5965-5966 5972 5984 5986 5989 5995 6003 6008 6011 6018 6020 6024 6027-6028 6039 6041 6043-6044 6049 6051 6055-6056 6058 6069-6070 6077 6081 6085 6087 6090 6093 6099 6101 6104 6107 6112 6118 6120 6126 6131-6134 6139 6145 6153-6155 6157 6159-6160 6163 6165-6166 6172 6176 6183 6195 6202 6205 6210 6216 6228 6232 6234 6243 6245 6248 6255 6258-6260 6274-6275 6277 6279 6289 6298 6304 6306-6307 6310 6315 6319 6328 6330 6332-6333 6344 6349 6351 6356 6359 6361 6368 6373 6375 6380-6381 6383-6384 6396-6397 6404 6412 6415-6416 6422 6425 6427 6432 6436 6438 6442-6444 6449 6452 6454 6458 6460 6466 6468 6472 6477 6484-6485 6495 6502 6506 6510 6517 6520 6523 6529 6534 6537 6540-6541 6546 6548-6549 6552 6554-6556 6558 6566 6568-6570 6572 6574 6576 6579 6582 6588 6591 6594 6596 6600 6602 6609 6614 6617-6619 6632-6633 6640 6642-6643 6647 6655 6659 6662 6667 6670 6681 6685-6687 6691-6692 6695-6696 6701 6705 6714 6719 6721 6736-6737 6743 6747 6749 6752-6754 6769 6771 6778 6783 6786 6791 6793 6801 6808 6812 6817 6821 6840-6842 6846 6848-6849 6852-6853 6865 6867 6870 6880 6882 6887-6890 6897 6901 6904 6908-6909 6915 6923-6924 6926-6927 6935 6938 6943 6945 6955 6962 6966 6969 6971 6975 6988-6989 6991 6993-6994 7000 7007 7015 7017 7021-7023 7028-7029 7031 7037-7040 7045 7047 7050 7052-7054 7063 7070 7077 7082 7088 7093 7100 7106-7108 7110 7115 7122-7123 7127 7134 7141 7146 7150 7154 7156-7157 7160 7167 7173 7178 7186 7189 7192 7205 7208 7210 7217 7223 7231-7232 7234 7238 7246 7248 7252-7253 7257 7262 7265 7267 7283 7291 7293 7302 7304 7311 7318 7320-7321 7323 7331 7336 7338-7340 7347 7350 7352 7355 7359 7363 7375 7377-7378 7380 7382-7383 7390 7395-7396 7398 7402 7404-7405 7410 7417-7418 7421-7422 7428-7429 7440-7441 7444-7445 7451 7455 7462-7464 7466-7467 7472 7474 7478 7482-7484 7490 7493 7497-7498 7500 7503 7507 7510 7515 7527 7548 7567 7571 7575 7579 7584 7586-7587 7590 7593 7600 7603 7607 7611 7613 7617 7619 7623 7625 7629 7631 7639 7643 7652-7653 7656 7658 7660 7662 7664-7665 7670 7672 7675-7676 7678 7681 7684 7686 7694 7707 7715 7717 7719 7725-7727 7729-7731 7740 7746 7750 7755-7756 7760 7762 7777 7779 7782 7786 7788 7795 7811 7813 7816-7818 7820 7828 7836 7849 7860 7864 7869 7872-7873 7875 7877 7880 7886 7890 7892 7896 7898 7903-7905 7908 7912 7918 7920-7921 7926-7927 7929-7930 7934-7935 7939 7944 7946-7947 7949 7953 7958 7975 7977 7984 7988 7991 8012 8015 8018 8021 8023 8027-8028 8036-8037 8040 8047 8050 8056 8058-8060 8068-8069 8072 8074 8086-8088 8096 8100 8102-8103 8113 8126 8132 8135 8139 8144-8145 8147 8151 8155 8158 8179 8184 8186 8189 8194-8196 8199-8202 8206-8207 8209 8213 8223 8225 8230 8234-8235 8240 8242 8244 8246-8248 8250 8255-8256 8258 8260 8264 8269-8270 8272 8276 8280 8284-8285 8287 8291 8298 8300 8306 8310 8315 8319-8321 8324-8325 8329 8333 8336 8340 8342 8346-8348 8350 8358-8359 8361-8362 8381-8382 8385 8395 8399-8400 8407 8412 8428 8430 8433 8442-8443 8450 8452 8467 8473 8475 8480 8482-8483 8490 8500 8506 8510 8515-8516 8519-8520 8524 8527 8530 8533-8535 8541 8544-8546 8548 8555 8557 8565 8570 8579 8581 8595-8596 8607 8609-8610 8614 8629 8635 8641-8642 8646 8654-8655 8660 8666 8668-8669 8676 8679 8683-8684 8688 8690-8693 8708 8712-8713 8727 8739 8742-8744 8747 8749-8750 8754 8760 8763 8765-8766 8792 8799-8800 8805 8810 8812 8814 8816 8819 8821 8823 8829 8844 8849-8850 8854 8863-8864 8876 8879 8884 8886 8890 8894 8899-8900 8905-8908 8922 8926 8929 8931 8936 8940 8945-8947 8956 8959 8961-8962 8964-8965 8967 8977 8979 8985-8986 8995 9002 9004-9005 9008 9017 9021-9022 9024 9031 9035 9038 9045 9047-9048 9050 9054 9062 9064 9066 9068 9071-9072 9075 9079 9081 9085-9086 9099 9102-9103 9106-9107 9109 9112 9115 9124 9131-9132 9140 9156 9160 9162 9164-9166 9177 9179 9181 9187-9188 9195 9200 9202 9207 9210 9216 9230 9232-9233 9235 9239 9242 9256 9258 9266-9267 9270 9274 9281 9288 9299 9305 9309 9319 9321 9331-9332 9336 9338 9346-9347 9352-9353 9355 9359 9364 9366 9369 9375-9376 9378 9380 9391 9393 9395 9399 9407 9409-9410 9416 9419 9421 9424 9432 9448 9455 9458 9462-9463 9476 9481 9483 9486 9489 9495 9497 9501 9509-9510 9516 9532 9535 9542 9546 9550 9554 9557 9560 9562 9565 9567-9568 9570 9575 9578 9580 9583 9587 9590 9596 9602 9606 9610-9612 9615-9616 9622 9624-9625 9631 9634 9639 9641 9649 9651 9663 9665 9674-9675 9680 9686 9689 9699-9700 9707-9708 9711 9717 9719 9721 9724 9731-9733 9739 9746-9747 9751 9759 9763 9767 9779 9795 9808-9809 9814 9828 9831 9840 9846 9853 9858-9859 9864-9865 9874 9878 9882 9886 9891 9893 9897 9899-9900 9904-9905 9908 9911 9917 9927 9931-9933 9948-9949 9952 9954 9957 9959 9966 9971-9973 9981 9985 9989 9995 9998 10005-10006 10010 10012 10015 10018 10021 10025 10027 10029-10031 10033-10034 10041 10046 10048 10060 10066 10069 10071 10087 10094 10104 10107 10109 10111 10114 10119 10122 10126-10128 10131 10142 10144 10150 10152 10155 10158-10160 10164 10169 10173-10174 10176-10178 10183 10186 10201-10205 10208 10219 10221 10223 10225-10226 10239 10242-10243 10255 10261 10263 10266 10268 10275 10285-10286 10288 10290 10294 10296 10303 10313 10319 10328 10333 10341 10351-10352 10359 10361 10370-10371 10376 10378-10379 10384 10387 10392 10403 10407-10408 10410 10415 10421 10423 10430 10432 10437 10439 10445-10446 10451 10457 10459-10462 10465 10474 10477 10480 10492 10499 10504-10505 10511 10520 10525 10527 10529 10536 10539-10540 10542 10550 10552 10554 10562 10564 10568 10573 10576-10577 10579 10582-10583 10598 10603 10608 10611 10614-10616 10618-10619 10624-10625 10630 10643-10645 10652-10653 10659 10661 10668 10671-10672 10674 10676 10680 10684 10689-10690 10699 10702 10706 10711 10713 10717-10718 10722 10727-10728 10748-10749 10762-10763 10765-10766 10769-10770 10780 10782 10786 10788 10791-10792 10795 10811 10822 10824-10825 10827 10830 10838 10851 10856 10858 10862-10863 10868 10871 10879 10882 10890 10894-10896 10899-10900 10902 10904-10905 10914 10922-10923 10926 10930 10932-10933 10945-10946 10951 10953 10955 10962-10963 10966 10968 10972-10973 10975 10977-10978 10986 10990 11000 11007 11014 11016-11017 11025-11027 11031 11039 11047 11051 11055-11057 11060 11066 11076 11080 11094-11095 11098 11102 11111 11115 11120 11125 11127 11130-11131 11144-11145 11159-11161 11163 11171-11172 11174-11175 11177 11179-11180 11189-11191 11193 11198 11205 11211 11214 11216-11217 11220-11221 11226 11233 11245 11247-11248 11254 11260 11262 11272 11275 11277 11279-11280 11284-11285 11287 11292 11297-11298 11300 11306 11312-11313 11316 11322-11323 11329 11334 11346 11350 11359 11362 11367-11370 11374 11379 11383-11384 11388 11391-11392 11395 11397-11398 11400 11410 11417 11422-11423 11425 11429-11430 11435-11436 11444 11454 11456 11465 11467 11483 11488 11503 11511 11516 11521 11530-11531 11538 11542 11544 11556 11559-11560 11565-11566 11570 11577-11578 11590 11593-11594 11596 11599 11601 11603 11606 11609 11622 11625 11628-11629 11636-11637 11642 11645 11647 11652 11655-11656 11659 11662 11666 11671 11678 11680 11689 11698 11702 11704 11719 11735 11738 11740 11745-11746 11749 11754-11756 11762 11764 11772 11777 11784 11786 11789 11801-11802 11812 11814-11815 11818 11822-11823 11826 11833 11839-11840 11843 11848 11854 11858-11860 11863-11864 11866 11873 11875 11877 11879 11889 11892 11896-11897 11900-11901 11904 11906-11907 11920 11932-11933 11940 11944 11947 11951-11952 11954 11959-11960 11963-11964 11966 11969-11970 11973 11979 11982 11984-11985 11987 11991 11994-11995 11997-11998 12002 12005 12012 12015-12016 12021-12022 12025-12026 12036 12039 12043 12050 12055 12063 12065 12067 12069 12076-12078 12082 12085 12087 12096 12099-12100 12102-12103 12113-12114 12116 12118 12120 12122-12123 12126 12129 12131 12136-12137 12146 12148-12149 12153 12155 12157 12162 12164-12165 12172 12179-12180 12189 12194 12196 12198 12202 12204 12206 12209 12214 12218 12223 12228 12230 12233 12236-12237 12242 12246 12250 12252 12255 12259 12263 12268 12272 12280 12282 12284 12290 12293 12303-12304 12307 12313 12319 12321 12329 12334 12337-12338 12343 12346 12348 12355 12359 12362 12373-12374 12380 12391 12393 12399-12400 12408 12410 12414 12419 12421 12426 12432 12435-12438 12443 12447 12449-12451 12454 12463-12464 12476 12478 12497 12500 12503 12506 12514 12521 12526 12537 12541 12547 12549 12552-12553 12558 12562 12567 12573 12575 12583 12588-12589 12593 12599-12600 12604 12619 12628 12631 12639 12641 12647 12650-12651 12659 12668 12672-12674 12685 12687 12690-12691 12693 12701-12702 12707 12710 12714-12715 12720 12725 12733-12735 12738-12740 12742 12744 12746-12747 12750 12754 12757-12758 12766-12768 12771 12777 12782 12785-12786 12788-12789 12791 12798 12803 12808 12810 12814 12820 12824 12829 12831 12839 12841 12856-12857 12859 12864 12867 12870 12879 12890 12898-12900 12905 12907-12908 12911-12912 12916-12917 12920 12936 12941 12958 12965 12972 12981 12984 12987 12991 12995-12996 12999-13000 13005 13011 13013-13014 13016-13017 13027 13038 13045-13046 13049-13050 13059 13070 13076-13077 13079-13080 13082 13085 13088-13089 13092 13095 13111-13113 13115-13116 13119-13120 13122 13124-13126 13142-13144 13146 13148 13154 13158 13164 13167 13170 13178-13179 13187-13188 13191 13196-13197 13203 13209 13212 13217-13218 13221-13222 13224 13227-13228 13230 13236-13237 13244-13245 13247 13249 13253 13260 13263 13270 13289-13290 13295 13301 13305-13306 13311 13313 13317-13318 13322 13324-13325 13327 13330 13345-13346 13350 13352 13361 13363 13369-13370 13374 13376 13391 13393 13399 13404-13405 13410 13415 13420 13430 13433 13440 13450 13454 13461 13464 13471 13473 13476 13481 13483 13489 13492 13494 13503-13504 13506 13508 13520 13525 13531-13532 13542 13545 13550 13559-13560 13564 13571 13581 13583-13584 13586 13588 13591 13593 13597 13599 13604 13616 13626 13629 13636-13637 13647 13651-13652 13661-13663 13668 13670 13675-13676 13682 13685 13693 13700-13701 13706 13708 13712 13714 13717 13719 13726 13728 13730-13732 13737-13738 13742-13743 13750 13757-13758 13762-13763 13769 13779 13781 13783 13792-13793 13795 13805 13807-13808 13811 13813 13815 13825 13830-13831 13834-13836 13839 13842 13854 13859 13861-13862 13865 13868 13872 13876 13879 13892 13894 13897-13899 13904 13911 13913-13914 13918-13921 13923 13926 13932 13947 13956 13959-13960 13965 13976 13987 13989 13998 14001 14009 14014 14017 14021 14024 14028 14030 14033 14050-14053 14057 14070 14075-14076 14082-14084 14087 14093 14095-14096 14103-14104 14112 14120-14122 14128 14133-14134 14137 14146 14149 14155 14163-14164 14166 14176 14179-14180 14187-14188 14192-14193 14198 14201 14208 14213 14223 14225-14226 14229 14236 14250 14252 14255-14257 14259 14272 14274-14275 14282 14286 14289 14293 14296 14299 14304 14309 14315 14321-14322 14327 14332 14335 14337 14343-14344 14373 14388-14389 14391 14395 14397 14400 14411 14417 14422 14437 14442-14443 14448 14452 14466 14471-14473 14475-14477 14488 14494 14507 14520 14522 14524 14526 14533 14545-14547 14554 14559-14560 14564 14568-14570 14581 14584 14586 14589 14592 14594 14598 14602 14606 14608 14611 14614-14615 14617 14622 14628 14632 14644-14645 14648 14653-14654 14660-14661 14663 14665 14667 14670-14671 14679-14681 14684 14688-14689 14691 14699 14705 14718 14721 14731-14733 14735 14740 14759 14761 14764 14767-14768 14780 14783 14792 14794-14795 14801-14802 14805 14807-14808 14818-14820 14824 14826 14828-14829 14832-14833 14837-14838 14845-14846 14853 14855 14858 14865 14867 14869 14877 14885 14892 14899 14909 14918 14923 14928-14929 14933 14937 14940-14941 14947 14951 14956 14958 14961 14964 14985-14986 14991 14996 15001 15005 15009-15010 15012 15020-15021 15026-15027 15034-15035 15039 15042-15043 15052-15053 15059 15067 15079 15083 15086-15087 15092 15095 15111 15114 15116-15117 15123 15131-15132 15134 15138 15140 15148 15150 15153-15154 15156-15158 15160-15161 15163 15168-15170 15181 15192 15202 15207 15209 15212 15216 15219-15220 15222 15225 15227 15229-15230 15232-15233 15237 15243 15249 15252 15256 15265 15269-15271 15280 15289 15294 15301 15309-15310 15314 15319 15323 15334-15338 15341 15345 15349 15358 15362 15370 15381 15390-15392 15403 15411 15418-15420 15424 15426-15427 15430 15435 15437 15447 15449 15461-15462 15465 15471 15473-15474 15480-15481 15483 15486 15489 15498 15501 15506 15512 15515 15522 15527-15528 15536 15539 15541 15545 15552-15553 15555 15560 15565 15568-15569 15574 15576 15579-15580 15583 15585 15596 15605 15610 15616 15619-15620 15623-15624 15627-15628 15634-15635 15640 15654 15662 15664 15670-15671 15674 15687 15689 15692-15694 15705 15708 15725-15726 15729 15732 15734 15736 15738 15749 15760 15769-15770 15776 15779 15782 15784-15785 15790 15798 15804-15805 15811-15813 15816 15818 15824-15825 15832 15835-15836 15843 15845 15851 15853 15870 15879 15890-15891 15894-15895 15897 15899 15901-15902 15905 15909 15912 15916 15920 15925 15928 15934 15937-15938 15950 15963 15968 15978 15984 15986 15989 15992-15994 15996 16000-16002 16014 16029 16032 16034 16039 16053 16058 16061 16063 16070 16075 16078 16081 16084 16087-16089 16093-16094 16101 16104 16110-16113 16116 16125-16126 16133-16136 16138 16140 16150 16158 16161-16163 16165 16167 16173 16177 16191 16195 16202-16203 16209 16211 16213-16214 16216 16218 16227-16228 16231-16234 16243 16246 16249-16251 16254 16257 16259 16268 16273-16275 16277 16282 16284 16288 16291 16303 16305-16306 16310-16311 16314 16320 16322 16329 16336 16338 16343-16344 16355-16356 16359 16362 16364 16368-16369 16371 16379-16380 16388 16390 16394 16396 16398 16401 16407-16409 16411 16415 16419-16422 16425 16428 16430 16433 16440 16442 16451 16456 16461 16463-16464 16469 16473 16477-16480 16482 16484 16486-16487 16489 16496 16498 16509-16510 16512 16514 16519 16521 16528 16538 16546 16561 16564 16584 16590 16596 16599-16600 16603 16606 16608 16611 16614 16616 16620 16634 16637-16638 16642 16644-16645 16649-16650 16652 16655-16657 16661 16663-16665 16673 16675 16688 16692 16697 16702-16703 16716 16720 16722 16724 16728 16730-16731 16738 16742 16744 16752-16753 16756-16758 16760 16763 16776-16778 16783-16784 16798-16799 16801 16803 16806-16807 16819 16830-16833 16837-16838 16845 16848 16850-16851 16856-16858 16876 16879 16895 16897 16905-16906 16909 16912 16923-16924 16928 16931 16933 16935 16938 16947 16955 16957 16964 16966 16972 16976 16979 16981-16982 16987 16990 16993 17007 17009 17012 17015 17018 17020 17024-17025 17029-17031 17034 17036 17038-17039 17059 17064 17066 17068 17078 17080 17094 17096 17103 17106 17114-17115 17130 17133 17135 17145 17149 17152-17153 17158 17169-17171 17177-17178 17181 17190 17194 17212 17218-17220 17229-17230 17233 17235 17246 17253 17260-17261 17267-17268 17274 17282 17287 17304 17306 17309 17311 17315 17321-17322 17335 17337-17338 17347 17361 17364 17366 17368 17370 17374 17376 17379 17386 17388-17389 17392-17393 17396 17400 17405 17412 17420-17421 17428-17429 17432 17440-17442 17446 17452-17453 17463-17464 17472-17473 17475 17480 17484-17485 17488 17490 17505 17512 17517 17527 17530 17534 17537 17543 17547 17549 17553-17554 17561 17567-17568 17570 17573 17577 17590 17595-17596 17598 17600 17603 17612 17616 17625-17628 17630 17639-17641 17644 17653 17656 17658 17663 17665-17666 17668 17670-17671 17675 17678-17679 17685 17687 17689-17690 17692 17695-17697 17699 17706 17718-17719 17723 17725-17726 17733 17735 17748 17750 17772 17787 17798 17805 17809 17826 17840-17841 17846-17847 17849 17851-17852 17856 17865 17873-17874 17879 17881 17884 17889 17892 17897 17902 17907 17912 17915 17918 17922 17926 17932 17936-17937 17940 17943 17945-17946 17951 17955 17959-17960 17967-17968 17971-17972 17977 17979-17982 17986 17991-17994 18000 18002-18003 18021 18032 18035 18043 18052-18053 18055 18058-18059 18063 18070 18079 18085-18087 18096 18105 18113 18117 18124 18126-18127 18133-18134 18137 18139 18146 18155 18165 18174-18175 18177 18180 18204 18214 18216 18221 18224 18226 18245-18246 18250 18255 18257-18258 18269 18272 18277 18280 18286 18290 18293-18295 18300 18306 18308-18309 18314 18326 18335 18339 18341 18346 18349 18354-18355 18357 18359 18368-18369 18372 18375 18383 18385 18388 18395 18398 18400-18401 18403 18406 18409-18410 18415 18430 18439-18440 18443 18445 18447 18451-18453 18465 18472-18474 18477-18478 18480 18483 18493 18497 18501 18504 18511 18514 18519 18522-18523 18526 18529 18532 18538 18548 18556-18558 18560 18563 18578 18584-18585 18587 18591 18600 18613 18618 18623-18624 18627 18629 18631 18635 18637-18638 18649 18654-18657 18659 18663-18664 18666 18679-18680 18686 18691 18699-18701 18706-18707 18709-18710 18713 18720 18732 18736-18737 18741 18744 18748 18755-18756 18769 18784 18791 18795 18797 18800 18813-18814 18819-18820 18829 18833 18835 18837 18839-18840 18847 18849 18859-18860 18875 18878-18879 18882 18896 18899 18902 18906 18909 18911 18916 18925 18928 18932 18938 18941 18945 18950 18953 18957-18958 18961 18968 18971 18976 18980 18982 18988 18997 18999-19000 19007 19018 19022 19025 19027 19041-19042 19051 19057 19065-19067 19075-19076 19080 19084 19089 19096-19097 19106-19108 19110 19113-19114 19118-19119 19127 19131 19135 19141 19144 19160 19165 19170 19189 19196 19198 19202-19203 19205 19213 19219 19221 19232 19236 19238 19240 19245 19251-19252 19263 19265 19269-19272 19274 19281 19283 19286-19287 19291 19296 19309 19312 19314 19318-19319 19321-19322 19325-19326 19329 19342 19350 19361 19372 19380-19381 19392 19394 19401 19404 19407 19410-19411 19414-19415 19418-19419 19427-19428 19431-19434 19437 19439-19440 19442 19451-19452 19454 19459 19463 19466 19468 19479 19484 19488 19495 19503 19506 19510-19511 19514-19515 19517-19518 19521 19524 19533 19546 19548 19552 19561 19568 19579 19581 19583 19586-19587 19603-19604 19606 19608 19611-19613 19618 19623 19625 19627 19629-19630 19637-19638 19644 19653 19655-19657 19661 19663 19665 19668-19669 19674 19681-19682 19686 19689 19703-19704 19713-19714 19727-19728 19731-19732 19737 19739 19744 19748 19753 19756-19757 19760 19762 19765 19767 19776 19783-19784 19787 19789-19790 19795 19803 19806 19808-19810 19812 19816 19819 19822 19827 19830-19831 19833 19839-19841 19844 19858 19865 19867-19869 19875 19879 19881 19893-19895 19906 19920 19938 19942 19945 19948 19950-19951 19957 19962 19973 19975-19976 19982-19983 19991 19999 20001 20003-20004 20009 20016 20022 20026-20027 20029-20030 20040 20043 20045 20053 20061 20063 20065 20073 20075 20078 20081 20085 20095 20101 20113 20119 20122 20126 20131 20133 20139-20141 20144 20146-20147 20149 20155 20164 20169 20171 20173 20175 20188 20191 20195-20196 20198 20201 20205 20210 20214-20215 20225 20238 20253 20256 20274 20277 20281 20284 20288 20291 20293-20294 20304 20309 20311 20313 20320 20328 20331 20334 20338 20341 20346 20350 20357 20359-20360 20365 20371-20372 20376 20380 20386 20390 20393 20400 20404 20409 20411 20413 20422 20424 20426 20434 20436 20440-20442 20444 20446 20450 20453 20455 20461 20467 20471-20472 20475 20484 20487-20489 20491 20494 20496-20497 20502 20504-20505 20513 20517 20519-20522 20528 20530 20534 20539 20549-20550 20565 20571 20573 20575 20579 20585 20592 20594 20596 20601 20617 20626-20627 20633 20641-20642 20646 20649 20653 20665 20667 20671-20672 20682 20685-20686 20697-20698 20701 20706 20714 20719 20728 20734 20737-20738 20743-20745 20748-20749 20753 20760-20761 20763 20766 20773 20776 20781 20783 20785 20787 20793-20794 20796-20797 20801 20805 20807 20814 20818 20826 20829 20834 20837-20839 20841 20843 20848-20849 20851 20853 20855 20871 20889-20892 20896 20901 20904 20909 20913 20924 20931 20935 20955 20962 20970 20973 20976 20978 20989-20990 20993 21012 21016 21022-21023 21027 21030 21039 21049 21051 21055 21059 21074 21080 21083 21086-21088 21090 21097 21099 21101 21103 21106 21115 21120-21122 21126 21128 21144 21151 21155 21162 21168 21175-21176 21181 21185 21194-21196 21200 21214 21216 21218-21220 21224 21227 21230 21235 21238-21239 21244-21245 21248 21253 21259 21263 21267 21269 21276 21285-21286 21291 21294-21297 21307 21310 21312 21315-21317 21321 21323 21327 21335 21340 21343 21351 21355-21356 21360 21368 21372 21390-21392 21396-21397 21406-21407 21414-21417 21421-21424 21428 21430 21432 21441 21446 21448 21452 21454-21456 21462-21463 21475 21479 21488 21491 21495 21497 21501 21503 21507 21513-21514 21529 21531 21534-21535 21543 21550 21554 21558 21562 21564 21567 21581 21587 21589 21598 21601 21603 21606 21614 21617 21622 21629 21654-21655 21657 21664 21677 21682 21687-21689 21691 21693 21698 21702 21705 21708 21714 21718-21720 21722 21737 21739 21744-21745 21748 21753-21754 21768 21770 21772 21775 21779-21781 21789 21794 21799 21803 21809 21814 21819 21830 21835 21840 21843 21846 21849 21856 21875-21876 21878 21880 21882 21886-21887 21889-21891 21905 21907-21908 21911-21912 21914 21916 21930 21933 21935 21941 21944 21951 21959 21966 21982 21990 21993 22010 22020 22027 22033-22034 22040 22043 22049 22051 22053-22055 22060 22064 22067 22069 22075 22084 22087 22105 22113 22117 22119 22123-22124 22130 22133 22149 22151 22154 22157 22163 22170 22177-22178 22180 22185 22193 22197 22207-22208 22213-22214 22216-22217 22219 22221 22224-22225 22231-22232 22237 22240 22243 22248 22250 22263 22265-22266 22278 22289 22299 22303 22306-22309 22314 22320 22324-22325 22329 22335 22341 22345 22349 22352 22357 22370-22371 22373 22376 22378 22382 22387 22389 22392 22402 22405 22409 22424 22428 22431 22449 22451 22458 22464 22466 22470 22472-22473 22485 22490 22492-22493 22495 22501 22507 22530 22533 22535 22545 22547 22551 22556 22559 22561-22562 22565 22568 22571 22574 22577 22591 22594 22599 22604-22606 22613 22615 22617 22619 22622-22623 22625 22628 22634 22638 22640 22642 22651 22655 22659 22663 22670 22675-22676 22678-22680 22689 22692 22695 22702 22705 22708-22709 22716 22719 22722 22726 22728-22729 22733 22737 22739 22745 22748 22752 22757 22761 22765 22768 22770 22777 22799 22802-22803 22808 22817-22819 22821 22823 22831 22833 22840-22841 22852 22859 22870 22873 22875 22886-22887 22889 22891 22893-22894 22900 22908 22914 22918-22920 22922 22925 22927 22931 22936 22941 22943 22947 22949 22951 22959 22961-22962 22967 22977 22980-22982 22984-22985 22987 22993 22995 22999 23007 23009-23010 23013 23018 23020 23027 23030-23032 23034 23036 23038 23043 23046 23051 23065 23074 23078 23086 23100-23102 23104-23106 23109 23114 23119 23121 23125 23127 23139 23155 23159 23163-23164 23170 23173-23174 23180 23183 23188 23196 23198 23200-23201 23210 23212 23214 23222 23225 23235 23248 23256 23260 23268 23271 23276-23277 23280 23287-23288 23292-23293 23295 23298 23305 23320 23325 23330 23332-23333 23343 23353 23357 23359 23382 23390 23395 23401-23402 23404 23407-23409 23428 23433 23437 23439 23441 23443-23444 23451 23456-23457 23460 23462 23468 23470-23471 23474 23476 23486-23488 23490 23494-23495 23497 23503 23507 23510 23516 23531 23533 23539 23544-23546 23554 23556-23557 23561 23565 23573 23576 23579-23580 23585 23589 23592 23600 23603 23606 23608 23612 23619 23625 23627 23637 23643-23644 23648 23654 23656 23658 23660-23661 23663 23667-23668 23678 23680 23684-23685 23688-23689 23692 23698 23700 23703 23705 23707 23710 23717-23718 23721-23723 23725 23727 23747 23750 23752 23755 23758 23769 23774 23778-23780 23788-23789 23791 23793 23795 23799 23802 23815-23816 23821 23833-23835 23852 23857 23861-23863 23871 23876 23888 23893-23894 23897 23903 23909-23910 23912 23921 23923-23924 23933 23938 23940 23942-23943 23945-23948 23950 23952 23958-23959 23962 23971 23976 23978 23981 23987 23989 24007 24010 24012 24014 24018 24020 24024 24026 24032 24037 24044 24050 24052 24054 24060 24067 24073 24076-24077 24082 24084 24102 24108 24129-24131 24135 24137 24143 24145 24149-24150 24158 24164 24170 24179 24184-24185 24188 24196 24208 24214-24215 24221 24224 24227 24233-24234 24238 24246 24248 24254 24256 24263-24264 24270 24287-24288 24290-24291 24299-24300 24310 24314 24316-24317 24321 24325-24326 24335 24342 24364-24365 24370 24372 24380 24383 24392 24395-24396 24398 24416 24423 24427-24429 24433 24436 24439 24447 24451 24453 24476-24477 24483 24491 24497 24499-24500 24508 24511 24515 24518 24522 24528 24530 24535 24537-24538 24541-24542 24544 24547 24549 24555-24556 24561 24574 24583 24589-24590 24592 24595 24597-24598 24600 24603 24611 24617 24619 24623-24624 24627-24629 24634 24638 24644 24646 24649 24655 24658 24661 24665-24667 24670 24674 24682 24687-24689 24698 24700-24702 24706-24707 24710 24713 24724 24732 24736-24737 24744 24748 24757-24758 24760 24767 24778 24782 24793-24795 24797 24800-24802 24805 24808 24813-24815 24826 24830 24842 24845 24849 24858 24860-24861 24869 24877 24883 24886 24890 24895 24897 24910 24912 24915 24919 24923 24930 24932 24937 24941 24943 24946 24957 24963 24965 24968 24971-24972 24975 24977 24996 25005 25008 25014 25018 25022 25024 25031 25034 25036 25041-25042 25046 25049-25050 25055 25057 25060 25069-25070 25073-25075 25085 25090 25093-25094 25099 25106 25109 25116 25119 25126 25136 25138-25139 25144 25147 25150-25152 25157 25162 25167 25175 25180 25182 25190 25193 25202 25205-25206 25209 25214 25217-25218 25220-25221 25226 25232 25240 25244 25250 25253 25255-25256 25266 25268 25273 25276 25280 25289 25291 25293 25305-25306 25308-25309 25311-25312 25314 25321 25330-25331 25334 25336 25341 25344-25345 25348 25350 25352 25359 25371 25377-25379 25381 25388-25389 25391-25392 25400 25407 25410 25426 25428 25433-25435 25441 25445 25448-25449 25452 25458 25460-25461 25469 25473 25477 25480 25484 25486 25492 25494-25495 25498-25499 25501-25502 25508-25509 25514 25521 25525-25526 25529 25540 25542 25549 25552 25557-25558 25567-25568 25570 25578 25584-25585 25590 25592 25594 25602 25605 25607 25609 25611-25612 25614 25617-25620 25622 25624 25628 25634-25635 25642 25645-25646 25651 25653 25664 25667 25673 25690 25692 25694-25695 25698 25701 25704-25706 25711-25712 25732-25733 25740-25741 25744-25745 25750 25753 25758 25764 25768 25772 25780 25790 25792 25797 25801 25804-25806 25808 25816 25822 25825 25829 25833 25838 25843 25850-25852 25862-25863 25865 25873-25874 25879 25889 25897 25900 25903 25909 25916 25919 25924-25925 25937-25940 25942 25944 25947 25951 25955 25959-25960 25962 25964 25967 25969 25980 25984 25989 25995 25997 25999 26001 26005 26008 26010 26018-26019 26025-26026 26029-26031 26033 26041 26053 26059 26061 26064 26066 26072-26073 26076 26078 26084 26089 26095 26101 26107-26109 26111 26121 26125-26126 26128 26137 26139 26145 26147 26155-26156 26165 26168-26169 26173 26176 26178 26181-26182 26184 26193 26200 26203 26207 26209-26210 26212 26221 26224 26226 26231 26235 26242-26244 26250-26251 26258 26260 26266-26267 26269 26276 26282 26285 26302 26321-26322 26326 26336 26344 26346 26348-26349 26351-26353 26358-26359 26367 26369 26374-26375 26380-26381 26384-26385 26391 26394 26396 26400-26401 26415 26419-26420 26422-26423 26426-26429 26439 26444 26447 26449 26454 26461 26464 26468-26469 26471 26481 26483-26484 26489-26490 26501 26513-26514 26516 26519 26523 26526 26528-26529 26538 26540 26550 26558 26565-26567 26575 26581 26583 26587 26592 26609-26610 26618-26619 26633-26634 26642 26646-26647 26649-26650 26657 26662 26669 26678 26682 26690-26691 26694-26695 26703 26713 26717 26725 26727 26730-26731 26734 26739-26741 26751 26760 26765 26769-26771 26773 26782-26783 26787 26792 26796 26799 26803 26805 26809-26810 26830 26836 26844 26846 26849 26854 26859-26860 26866 26870 26879-26881 26886 26888 26891 26896-26897 26900 26902 26905 26912 26915-26916 26918 26920 26923 26929 26936 26938 26941 26943 26951 26957 26960 26962 26965 26976 26993 27005 27007 27011 27019 27026 27030 27033 27040 27045 27047-27048 27061-27062 27066-27067 27069 27072 27074 27078 27085-27086 27093 27103 27107-27108 27112 27120 27123 27131 27139-27140 27145 27147 27149 27151-27153 27157 27159 27164 27169 27176 27179 27181 27191 27202 27204 27208-27209 27218 27220 27223-27224 27228 27230-27231 27242-27243 27247 27255 27260 27267 27274-27275 27287 27290-27292 27299 27309 27312-27314 27316 27321 27330-27331 27335-27336 27338 27342 27344 27347 27356 27358 27366 27369-27371 27381 27383 27385-27386 27395 27397-27398 27404-27406 27414 27416 27425-27426 27429 27432 27436 27441 27447-27448 27450 27452 27455 27460 27469 27475 27493 27500 27503-27504 27510 27529 27534 27538-27539 27544-27546 27548 27557 27560 27563 27570 27587 27593 27595 27598 27606 27617 27621 27631-27633 27641-27642 27648 27656 27658 27666 27668 27670 27674-27675 27681 27684-27685 27689 27693 27699-27700 27707 27709-27711 27718 27722 27726 27729-27730 27733 27741 27744 27746 27748 27750 27753 27756 27764 27767 27770 27784 27788 27791-27792 27799 27803 27808 27811-27812 27815 27817-27818 27828-27829 27836-27837 27839 27842 27852-27853 27860 27862 27865-27866 27871-27873 27883 27885-27886 27892 27902 27907 27910 27918 27922-27923 27927 27929-27930 27935-27936 27942 27944-27945 27948 27954 27956 27966-27968 27970 27974-27975 27980 27982 28001-28003 28005-28006 28011-28012 28014 28021 28024 28028-28029 28033-28034 28045 28049 28057 28059 28063 28074-28075 28079 28084 28091-28092 28096 28101 28107 28113 28115-28116 28129 28137 28140 28142-28143 28146 28148 28151-28153 28166 28183-28185 28188 28195-28196 28198 28205 28212 28216 28225-28226 28236-28237 28241 28243 28248 28252 28257 28260 28271-28272 28277 28280-28281 28285 28290-28291 28293 28299 28305 28308 28313 28318 28327 28333 28337 28344 28349 28354 28358 28360 28363 28372 28388 28390-28391 28394 28408 28413-28414 28429-28430 28432 28434 28440 28451-28452 28478 28493 28496 28501 28504 28506-28507 28510-28512 28519-28520 28525 28532-28533 28536 28539-28540 28545 28559 28561 28569 28574 28578 28592 28598 28601 28606 28617 28621-28622 28627 28644 28647 28652 28656 28664 28666 28671-28672 28679 28685 28691 28694 28716 28724 28736 28738 28750 28755-28756 28762-28763 28769 28773 28787-28788 28796 28803 28813 28815 28819 28827 28831 28853 28858 28862 28874 28886 28890 28897 28908 28913 28915-28917 28928 28938 28940 28944 28947 28950-28953 28958 28978-28979 28982-28983 28985 28990-28991 29002 29007-29008 29014-29015 29018 29029 29036 29058 29061 29065 29070-29071 29076 29078 29081-29082 29093-29094 29097 29124 29126 29137 29140 29144 29146 29156-29157 29176-29177 29182 29192 29195 29199 29204 29212 29214 29224-29226 29237 29246-29247 29250 29261 29265-29266 29280 29290 29297 29302 29305 29313-29315 29317 29321-29322 29324 29326 29330 29332-29333 29337 29339 29341 29343 29346 29352 29358 29364 29371 29374 29387-29388 29400 29403 29408 29410-29411 29413-29414 29417 29422 29427 29460-29461 29463 29468 29472 29481-29482 29486-29487 29491 29505 29512 29514-29516 29522 29537 29542-29543 29549-29550 29561 29568 29580 29582 29585 29596 29610 29612 29614 29617 29620-29622 29624 29626 29634 29636 29645 29649 29656-29657 29670-29671 29675 29680-29681 29691 29695 29700 29702 29709 29711-29713 29715 29722 29725 29730 29732 29734 29736 29739 29755 29762 29766 29776-29777 29781 29785 29793-29794 29796 29800 29808 29810 29816 29820 29822 29830-29831 29833 29836 29839-29840 29843 29848 29852-29853 29855 29864 29885 29887 29892 29898 29900 29902-29903 29906-29907 29910 29913 29922 29925-29929 29938 29946-29947 29950-29951 29955 29961 29968-29970 29977-29978 29980-29981 29990 29998-29999 30001 30005 30009 30011 30013 30017 30023 30026 30031-30032 30036 30041 30043-30045 30048 30051-30052 30058 30063 30069-30070 30078 30083 30085 30090 30093-30094 30100 30105-30106 30111 30113-30114 30116 30124 30128-30129 30131 30134 30137 30143 30155 30172 30180 30183 30185-30186 30190 30192-30193 30195 30199 30201-30202 30212 30218 30229 30231-30232 30245 30248 30251-30252 30265 30269 30271 30289 30294 30297 30301 30304 30320 30323 30327-30330 30338 30341 30343 30363 30365 30368 30371 30375 30388 30390-30392 30394 30402 30406 30409 30411 30414-30415 30417-30419 30424-30425 30427-30428 30431 30434 30436-30437 30440 30443 30465 30474 30476-30477 30482 30493 30495 30502-30503 30509 30515 30520 30522 30525 30530 30533 30535 30539 30541-30544 30549 30558-30559 30565-30566 30569 30574 30592 30606-30607 30613 30631 30642 30645 30650 30659 30674 30678 30686 30694 30696-30697 30699 30701 30703 30706 30718-30720 30723 30726 30741 30748 30751 30753-30755 30757-30759 30762 30764 30767 30777-30778 30785 30788 30798-30799 30813 30816 30818 30821-30823 30825 30827-30828 30833 30839 30846 30848 30850 30852-30853 30855 30864-30865 30867 30872 30874 30878 30880 30890 30892 30895 30903 30905-30907 30913 30917 30926-30927 30935 30939-30940 30945 30965-30967 30971 30977 30979 30984 30987 30991 30995 31002 31013 31019-31020 31023 31037 31039-31040 31045-31046 31052 31062-31063 31066 31070 31081 31089 31091-31092 31097-31098 31100-31101 31107-31108 31116 31120 31123 31128 31134 31139 31150 31162-31163 31166 31171-31172 31176 31179 31184-31185 31190 31193-31195 31200 31203 31213 31223 31232-31234 31239 31252 31255 31257 31269 31282-31283 31285 31287 31295 31299 31303 31308-31309 31311-31312 31317 31323 31326-31327 31330 31334 31346 31353 31357 31364 31368-31370 31373 31375-31376 31381 31384 31386 31388 31394 31406 31411 31413 31418 31424 31426 31428 31432-31434 31441-31442 31446-31447 31450-31452 31455 31460 31470 31474 31478 31481-31482 31488 31490 31501 31507 31510 31516 31518 31526 31530 31532-31533 31535 31538-31540 31546 31548-31549 31561 31568 31570-31571 31573 31580 31588 31594 31596-31598 31607-31608 31612 31615-31617 31622 31626 31630-31632 31637 31640 31645-31650 31652 31656 31660-31661 31670 31672 31677 31679 31682 31687 31690 31692 31698 31700 31702 31704 31708 31710 31713 31716 31718-31719 31722 31726 31732 31739 31741 31745-31746 31748 31752 31762 31773 31777 31780 31784 31787 31789 31803 31805 31807 31818 31823 31827-31828 31840 31854-31855 31858 31860 31862 31872 31879 31882 31884 31890 31892-31894 31896-31897 31905-31907 31913 31915-31917 31920 31924 31938 31945 31947 31950-31951 31953 31955-31956 31959 31962-31963 31966 31969 31972-31973 31979 31981 31989-31990 31997-31998 32004 32006 32008-32009 32018-32019 32023 32032 32038 32040 32052 32056 32062 32064 32066 32068 32070 32072-32073 32098 32101-32102 32105 32108 32110-32111 32116 32124 32128 32130 32134 32142-32143 32156 32168 32173 32176 32188 32197-32198 32207 32212-32213 32217-32218 32225 32235 32242 32246 32248 32252-32253 32255 32260 32262 32264 32268 32276 32278 32284 32289 32293 32304 32306 32308 32310 32327-32328 32332-32333 32336 32348 32350 32354 32357 32365 32367 32375-32376 32379 32381 32387 32389 32394 32398-32399 32403 32405 32410 32412 32418 32423 32429 32436-32437 32447 32450-32451 32457-32458 32462 32469-32470 32473 32475 32477 32484 32488 32492-32493 32497 32500 32504-32505 32513 32516-32518 32522-32523 32526 32528 32530-32531 32535 32548 32552 32559-32560 32565-32568 32574 32578 32582-32583 32588 32600 32602 32607-32608 32612 32616-32618 32626-32627 32639 32649 32658-32660 32662-32663 32667 32672 32674 32676-32678 32684-32685 32687 32698 32702 32706 32717-32718 32725 32728 32731 32739 32741 32743 32745 32756 32761 32763-32764 32766 32768 32774-32775 32781 32791 32793 32797 32802 32805 32807-32808 32811-32812 32816 32818-32821 32823 32829 32835-32837 32841 32846-32848 32853 32860 32866 32869-32871 32874 32882 32886 32888-32889 32892-32893 32897-32898 32903 32905-32906 32909 32911 32914 32926-32927 32929 32931 32933-32934 32938 32942 32947 32951-32953 32956 32962 32969 32973 32979 32982 32984 32995 32999 33001 33009-33011 33014 33020-33021 33025 33029 33034 33043 33045 33055 33057 33060 33062 33064-33066 33068 33073 33080 33085 33093 33095-33096 33101 33107 33109 33125 33127 33135 33138 33144 33148-33149 33153 33160 33164 33167 33186 33199 33203 33213-33217 33219 33228 33231 33233 33235 33239 33243 33249 33251 33254-33256 33258 33267 33270 33275 33280 33282 33288 33290 33296-33297 33301 33305 33313 33319 33321-33322 33327 33331 33334 33342 33344 33348 33352-33353 33356 33360 33363 33367 33369 33372 33374-33375 33378 33384-33386 33390 33394 33402-33403 33406 33415 33420 33424 33426 33428-33429 33436-33438 33444-33446 33448-33449 33457 33460 33462-33463 33468 33470 33472 33475 33477 33481-33482 33485 33487 33495 33499 33506-33507 33514 33528 33530 33532 33534 33550 33552-33553 33555 33558-33560 33573-33574 33576 33580 33591 33595 33598 33601-33602 33605-33606 33610 33612 33616 33621-33622 33624 33634 33638 33640 33647-33648 33653 33657 33662 33672 33686-33687 33699 33703 33705 33716 33718 33723 33725-33726 33730-33731 33757 33768 33774 33776 33783 33790 33799-33800 33804 33809 33814 33817 33820 33823 33826 33832 33839 33842 33844 33852-33853 33855 33861 33873-33874 33876-33877 33881 33886 33890-33891 33904-33906 33910 33914 33916 33920 33924 33929 33931 33935 33940 33949-33950 33957 33959 33961 33968 33975-33976 33982 33984-33985 33987-33988 33990 33999 34001 34003 34026-34027 34031 34042 34044-34045 34057 34060 34063 34067 34072 34074 34076 34079 34084 34090 34096 34098-34100 34103-34105 34108 34110 34112 34117 34123 34125 34135 34137 34145-34147 34151 34155 34165 34172 34174-34175 34179 34182-34183 34185 34187 34195 34197 34200 34204 34206 34211-34212 34214 34218 34222 34224 34229 34231 34239 34243 34246 34261-34262 34266 34269-34270 34275-34276 34279-34281 34287 34291 34293 34296 34300 34303 34305 34309 34314-34316 34320-34321 34323 34329-34330 34332-34333 34338 34340 34346-34347 34351-34352 34355 34360 34362 34369 34371 34380 34386-34390 34396-34397 34407-34408 34410 34416 34420 34423 34437 34440 34443 34449-34450 34453 34456-34457 34460 34469 34472 34474 34479 34485 34494-34495 34499 34501 34511 34516 34519-34520 34523 34531-34532 34539 34544 34547 34552 34556 34558 34563 34566 34577 34582 34584 34586 34591 34594 34597 34604 34606 34608-34609 34614 34616 34622-34623 34625 34631 34640-34642 34646 34654 34660 34662 34670 34677 34679 34681-34682 34685-34686 34696 34699 34702 34704-34705 34709 34716 34718 34721 34728 34730 34735 34748 34753-34754 34756 34758 34765 34773 34776 34784 34786-34787 34791 34803-34804 34808 34813 34816 34818 34820 34824-34825 34829 34833-34834 34844 34847 34850-34851 34856 34858 34862 34864 34867 34871 34877 34881 34884 34898 34902-34904 34906 34911 34913 34919 34924 34930-34931 34938 34946 34951 34955 34958-34960 34963 34966 34968 34971 34973-34975 34978-34979 34985-34987 34997 34999 35004 35009 35014 35020 35023 35027 35031 35034 35042 35044 35054 35059 35067 35081-35082 35089-35090 35095 35103 35105 35108-35109 35111 35116 35118 35124 35134 35137 35139 35142-35143 35146 35148 35152-35153 35160-35161 35169 35175 35179-35181 35189 35192 35195 35198 35200 35204-35206 35210 35221 35223-35224 35232 35239 35246 35252 35254 35257-35258 35267-35268 35273-35274 35276 35283 35287 35297 35299 35310 35315 35317 35321 35329 35335-35337 35339 35342 35344 35347 35354 35357 35360-35361 35372 35383 35387 35389 35392 35394 35403 35407-35408 35412 35414 35420 35423 35425 35434 35436 35438 35440 35442 35450 35458-35459 35466 35468 35478-35479 35482 35485-35486 35488 35490 35493 35495 35501 35504-35505 35507 35516 35519 35534-35535 35543-35544 35547 35550-35551 35554-35555 35559 35565 35571 35575-35577 35584 35587 35592-35593 35596 35600-35601 35603 35608 35614-35615 35619 35622 35625-35626 35644 35646-35647 35650 35653 35663 35667 35670 35673 35678 35680 35686 35688 35695-35696 35701 35705-35706 35712 35718 35721 35725 35729 35756 35759-35760 35769-35771 35776-35777 35782 35784 35790-35792 35794 35796 35808 35813-35814 35819 35824 35826-35827 35832-35834 35839 35847 35851 35854 35857 35861 35867 35871 35874-35875 35880-35881 35899 35906-35909 35924 35928-35929 35938 35943 35945-35946 35948-35949 35951-35954 35957 35965 35967 35973-35975 35978-35979 35981 35983 35988-35989 35993-35994 36012 36014 36021 36024 36027-36028 36030 36032 36036 36042 36048 36050-36051 36058 36063 36076 36079 36083 36093 36096 36098 36113 36116 36120 36131-36132 36134-36135 36140 36143 36145 36148 36154 36156 36159 36164 36166-36167 36169-36170 36178 36183-36184 36190 36197-36198 36201 36220 36223-36224 36231-36233 36235 36238 36246 36250 36255-36257 36261-36262 36264 36268 36272 36278 36280-36281 36286 36289 36293 36308 36310 36320 36322 36324 36328 36330 36338 36342 36346 36351 36355 36359-36360 36363 36374 36377 36380-36381 36385-36386 36388 36391-36392 36397 36406-36407 36420-36422 36424 36427 36437 36441 36444 36447 36453-36454 36458-36459 36461-36463 36469 36475 36484 36487 36489-36491 36493 36495 36497 36502 36504 36509-36510 36521 36530 36533 36536-36538 36542 36547 36549 36555 36557 36560-36561 36566-36569 36578 36580 36588 36591 36612 36614 36616 36619 36621-36622 36630 36637 36648 36654 36657 36662 36670 36674 36676-36677 36679 36681 36685 36688 36691 36698 36703 36708 36713-36714 36716-36717 36721 36727 36739 36742 36750 36752-36754 36760 36762 36764 36771 36778 36793 36799-36800 36805 36807 36809 36814 36819 36822 36830 36836-36838 36852 36861 36863 36867 36869-36870 36873 36878 36881 36884-36885 36888 36892-36893 36901 36905 36908 36918 36924-36925 36927-36928 36931 36933-36934 36937-36938 36950-36951 36958 36960 36964 36971 36975 36978 36980 36982 36984 36986 36993 36999-37000 37004 37007 37010 37013-37014 37017 37021-37024 37031-37032 37034-37035 37037 37042 37044 37046 37049 37051 37056 37060 37071 37074 37079-37080 37084 37090-37093 37095 37107 37109 37111 37113-37114 37118 37125 37134-37136 37139 37141 37143-37144 37150 37153 37155 37164 37169-37170 37172-37173 37177 37180-37181 37183 37185 37189 37198 37201 37208 37210 37213 37226-37227 37234 37239 37248 37257 37260 37262 37268 37272 37280 37287 37296 37303 37307 37324 37340 37344 37353 37362 37369-37370 37378-37379 37381 37385 37387 37390-37391 37393 37398 37410-37411 37413 37420 37423-37424 37426 37432-37433 37439 37451 37453-37455 37464 37473 37477-37478 37480-37481 37484 37486 37488 37499 37502 37515 37517 37523 37529 37531 37534 37538 37544 37546 37548-37549 37551 37555-37557 37565 37571 37576-37577 37580 37584 37588 37590 37593 37606-37607 37613 37615 37626 37631 37637 37646 37648 37650-37651 37655 37660 37665 37669 37671-37672 37677-37679 37684 37689 37692 37699 37717 37733 37755 37759 37761-37762 37766 37776 37778 37781-37783 37785 37787 37795-37797 37803 37808 37812 37815 37818-37819 37821 37825-37826 37829 37839 37846-37847 37852 37859 37861 37864 37876 37879 37881 37884 37890 37894 37896 37900 37902 37917 37936-37937 37942-37943 37947 37949 37952 37956 37967 37969 37979 37982 37988 37993 37999 38006-38009 38031 38036 38040-38041 38048 38050 38055 38057-38058 38061 38074 38079 38087 38089 38106 38108-38109 38116 38118-38119 38124 38126 38136 38140 38143 38146 38150 38160 38166 38175-38176 38180-38181 38184 38188 38193 38199 38203 38205-38207 38211-38213 38215 38217 38220 38224 38232-38233 38236-38237 38240 38242 38244-38245 38247-38248 38255-38257 38259-38260 38264 38269 38273 38282 38286 38288 38291 38294-38297 38302 38305 38309 38311 38314 38322-38324 38327 38330-38331 38335 38340 38343 38345-38346 38356-38358 38360 38362 38369 38375 38378 38380-38382 38386 38389 38395 38402 38408 38413 38420 38423 38428 38432-38433 38439 38446 38450 38454 38457 38459 38463 38474 38477 38480-38481 38483-38484 38491 38507-38508 38512 38519 38526 38539-38540 38548 38555 38558 38564-38566 38577-38578 38580 38586 38596 38599-38600 38602 38605 38614 38616-38618 38622 38624-38626 38628 38633 38641 38649 38651 38654 38662 38665 38668-38669 38680 38682 38689 38691-38692 38694-38697 38700-38701 38708 38710 38718-38719 38721 38727 38735 38737 38747 38749 38751 38753-38754 38756 38762 38772 38776 38784 38786 38788-38789 38799 38801-38805 38814 38823 38826 38829-38831 38840-38841 38843 38845 38850-38851 38854 38856 38858 38860 38862 38870 38875 38882 38890 38903 38908 38920 38926 38928 38931 38935 38941 38943-38944 38947 38955 38962 38968 38970 38973-38974 38977-38979 38984-38985 38990 38995-38996 39001 39008-39009 39016-39018 39024-39025 39032 39036 39038 39041 39045-39046 39054 39057 39068 39072 39076 39082 39084-39085 39091-39092 39099-39102 39107 39110 39113 39126 39130 39133-39134 39138 39146 39149 39154 39157-39160 39165-39166 39169 39171 39176 39178 39181 39183-39184 39186-39187 39195 39200 39218 39220-39221 39227-39228 39239 39241 39251-39253 39265 39267 39271 39282 39286-39287 39291 39298 39302-39303 39307 39324 39331 39334 39336 39346 39351 39359 39364 39368 39373 39378 39383 39391 39396-39398 39411 39413 39418 39421 39425 39428 39431 39434 39437 39440 39448-39449 39453 39455-39456 39458 39473 39480 39483 39490 39494 39496 39510 39512 39514-39515 39520 39522 39529-39530 39534-39535 39541 39546-39547 39550 39554 39558 39561 39564-39565 39573 39582 39588-39589 39591 39593 39600 39602 39607-39608 39610 39612 39619 39624 39627 39630 39637 39639 39647-39648 39669 39674 39680 39686-39688 39690 39693 39696 39702 39709 39711 39713-39714 39717 39719 39727 39730 39734 39744 39747-39748 39759 39761 39763-39766 39768 39774-39775 39777 39779-39780 39785-39787 39795 39797 39799-39800 39803 39807-39809 39811 39819-39820 39826 39828-39829 39837-39839 39846 39849-39850 39853 39855 39861 39873 39876 39879 39884-39886 39891 39904 39906 39911 39916 39919 39933 39935 39937-39938 39951-39952 39954-39955 39961 39968 39971 39978 39985-39987 39998-40000 40011-40012 40015 40025 40031 40035 40041 40043 40045 40048 40055 40057 40059 40063 40065-40066 40070-40071 40075 40082 40086 40089 40094 40104 40115 40117 40119 40123 40128 40135 40138-40139 40142 40144 40148 40151-40152 40155 40159 40164 40172 40176 40178 40181-40182 40184 40196-40197 40204 40214 40216 40220 40223 40225 40227 40234 40237 40240-40241 40245 40252-40254 40261 40273-40274 40276 40278 40280 40283 40287 40293 40298 40300-40301 40305-40306 40316 40319 40330 40333 40336 40351-40352 40354 40357 40359 40365-40366 40371-40372 40379-40380 40398 40402 40404 40410 40417-40418 40420 40434 40438 40441-40442 40448 40452 40458 40468 40471-40473 40485 40490 40493 40495 40513 40518 40520 40534 40538 40540 40549 40554-40555 40557 40560 40565-40566 40571 40580 40592 40598-40600 40606-40607 40612 40619 40623 40628 40638-40639 40641-40642 40645 40647 40649-40651 40657 40662 40666 40676 40678 40682-40683 40686 40688 40691-40693 40700 40702 40708-40709 40721 40724 40727 40730-40731 40745-40747 40769 40775 40784 40786-40788 40801 40803 40807 40812 40819 40821-40823 40842 40845-40847 40850 40852 40858-40859 40863 40871 40873 40877-40879 40883 40890 40894 40896 40898 40901 40906 40908-40909 40914 40929 40949 40951 40955-40956 40959-40960 40964-40965 40969 40976-40977 40981 40983 40985 40995 40997 41001-41002 41006 41008 41014 41016-41018 41021 41023 41028 41031 41036 41042 41045 41053-41055 41057 41060 41065 41074 41076 41086 41095 41099-41100 41102-41103 41109-41110 41116 41118 41125 41130-41131 41136 41141 41143-41144 41146 41149-41150 41153 41157 41163 41165 41169 41172 41180 41184-41186 41189 41198 41200 41206 41209 41213 41216-41217 41223-41224 41227 41229 41232 41237-41238 41248 41252-41253 41269 41285 41291 41301 41303-41304 41311 41318-41319 41334 41336 41340 41345-41346 41350 41356 41363 41366 41370 41376 41385 41391 41396 41404 41406-41407 41415 41426-41427 41430 41442 41444 41456 41473-41474 41479-41480 41483 41487 41490 41495 41498 41505 41508 41510 41513 41521 41524 41527 41533 41537-41539 41551 41557 41560-41561 41568 41570-41571 41584 41591 41599 41607 41609 41613 41618 41621 41625 41627 41632 41638 41644-41645 41657 41659 41661 41686 41705 41713 41717 41729 41736 41739 41752 41755 41762 41775 41783 41791 41794 41799 41801-41802 41806 41813 41826 41833 41835 41841 41864 41867-41868 41874-41875 41879-41880 41897-41898 41903 41909-41910 41914 41919 41925-41926 41928 41937 41940 41949 41953 41963-41964 41969-41971 41978 41984 41986-41987 41991-41992 42001 42005-42006 42012 42015 42031 42038-42039 42042 42044 42058 42066 42068 42070 42072 42074 42080-42081 42086-42087 42091 42099 42106 42110 42118 42131 42144 42148-42149 42160 42163-42164 42171-42172 42177 42197 42199 42205 42207-42208 42214-42215 42221 42229 42243 42253 42257 42259 42263 42269 42280 42288 42291 42310 42315 42317 42320-42322 42334-42336 42341 42356 42372 42380 42384 42393-42394 42398-42399 42401 42408 42410 42412 42414-42415 42419 42425 42427-42428 42430 42433 42435 42452-42454 42457 42467 42476 42492-42493 42495 42508 42513 42518 42520 42523 42530-42531 42536 42540 42545 42549 42557 42563 42572 42577 42585 42587 42589-42591 42594 42597 42616 42618-42619 42628 42630 42633 42636 42641 42645 42651 42654 42662 42665 42673 42675 42682-42683 42685-42686 42692-42694 42700-42701 42713 42715 42724 42729 42731 42734 42744 42749 42751-42752 42755-42756 42761 42764-42765 42770-42771 42773-42774 42780-42781 42784 42786-42787 42791 42793-42795 42798 42803 42805 42809 42811-42812 42814 42817-42818 42823 42825 42827 42846 42849-42852 42854-42855 42861 42864-42865 42868 42870-42872 42874 42878 42888 42893 42896-42897 42904-42905 42909 42912 42914 42924-42925 42933 42936 42942 42944 42946-42947 42962-42965 42969 42984 42987 42989 42995-42996 42999-43001 43005 43009 43017 43020 43022 43037 43048 43051 43055-43056 43059 43064 43069-43070 43073 43081-43082 43085 43087-43088 43092 43095 43097-43098 43100 43103 43108 43110 43124 43127 43130 43134 43152 43159 43164 43170-43171 43180-43181 43184 43186 43194 43198 43204-43205 43207-43208 43220 43233 43239 43244 43254-43255 43257 43259 43261 43268 43274 43278 43280 43282 43286 43290-43291 43294-43296 43301-43302 43304-43305 43319 43328 43334 43347 43353 43359 43367 43371 43374 43376-43377 43393 43395 43403-43404 43408 43416 43429-43431 43434 43443 43445 43449-43451 43458 43464 43470-43471 43476-43477 43479 43496 43502 43506 43508 43511 43514 43526 43529 43533 43536-43537 43541 43544 43547 43550 43565 43568 43574 43576-43577 43581 43583 43585 43588 43599 43602 43604 43608 43610 43614 43623 43626 43629-43631 43634 43639 43642 43647 43654 43666 43670 43672-43673 43681 43690 43694 43699 43702-43703 43707 43719-43720 43733 43736 43745 43747-43748 43754 43760 43764 43771 43776 43782 43785-43787 43789 43794 43805-43806 43819 43822-43823 43825 43832 43836 43842 43844-43845 43856-43857 43862 43869 43872-43873 43883 43891-43892 43897 43899 43901 43904 43915 43920 43925 43927-43928 43930 43934 43941 43956-43958 43969 43973 43975 43985 43991 43993 43999-44000 44004 44008-44009 44016 44025 44027 44038 44040 44043 44045 44049 44052-44053 44057 44060 44066-44067 44069 44072 44074 44079-44080 44083-44084 44086-44088 44091-44094 44097-44098 44100 44103-44105 44107 44109 44113-44114 44122-44123 44129-44132 44134 44136 44138-44139 44154 44161 44166-44167 44169 44173 44179-44180 44187 44194 44196 44202 44206 44215 44232 44235-44236 44240 44242 44246-44247 44250 44252-44253 44259 44261-44262 44267 44283 44291 44305 44308 44310-44311 44317-44318 44320 44327-44328 44332 44337-44338 44343 44349 44361 44366-44367 44370 44374-44375 44379-44380 44382 44395-44396 44402 44407 44409-44411 44414 44418 44422 44426-44427 44429 44441 44449-44450 44457-44458 44467 44473 44475-44476 44482 44487 44494 44500 44505-44507 44509-44512 44516 44520-44521 44524 44530-44531 44542 44549 44552 44555 44557-44558 44560 44564 44567 44577 44579-44580 44587 44591-44592 44596-44598 44605-44606 44612 44618 44624 44630-44634 44640 44647 44654-44655 44658-44660 44663 44672-44673 44680 44682 44684 44694 44697 44704 44708 44711 44717 44723 44727 44732 44734 44738 44745 44752 44762-44763 44765 44771 44783 44787 44796 44801-44804 44812 44821 44825 44829 44834-44835 44838 44840 44846-44847 44857 44860 44862 44867 44872-44873 44887 44893 44898-44900 44902 44904-44905 44910 44919 44921 44928 44933-44934 44938 44943 44948-44949 44953 44955 44959-44960 44963-44964 44968 44971 44977 44982 44988 44996-44997 45001 45012 45017 45025-45026 45028 45031 45035-45036 45039-45040 45049 45060 45070 45073 45086-45088 45090 45095-45096 45101-45103 45107 45110 45113 45117 45119-45120 45125 45135 45138 45148 45158 45162 45165 45172-45173 45177 45182-45183 45187 45190 45194 45200-45201 45205-45206 45214 45216 45224-45225 45229 45236 45239-45240 45245 45247 45252-45254 45257 45260 45265 45269 45272 45278 45285 45291 45296 45302 45305 45311 45314 45318-45320 45326-45327 45337 45343-45344 45351-45352 45355-45356 45359 45368 45373 45377 45384-45386 45388 45398 45400 45404 45411 45415 45418 45422 45424 45426 45428-45429 45431 45433 45435 45437 45440-45441 45444 45454-45455 45459 45465-45466 45469-45470 45481 45485 45493 45495-45496 45503-45504 45506-45507 45509 45513 45516 45519-45521 45529 45531 45539 45541 45549 45557 45561 45571-45572 45578-45579 45589 45591 45597-45599 45601-45602 45604 45606 45610 45618 45624 45626 45629 45632-45634 45639 45643-45644 45646 45648-45649 45653-45654 45660 45662 45669 45673-45674 45679 45681 45683-45684 45686 45691 45696 45698-45700 45702-45704 45714-45716 45724 45728-45729 45738 45740 45742-45743 45760-45761 45763 45766 45776 45781-45782 45786 45790-45791 45793 45796 45802 45806 45808 45817-45819 45831 45834 45836 45846-45847 45852-45853 45858 45860 45863 45865 45871 45875 45877-45878 45883 45888 45891-45892 45901 45904 45907-45908 45910-45911 45921 45928 45932-45933 45937 45941-45942 45944 45947 45954 45957 45962 45964 45969 45974 45979 45982 45987-45988 45990-45992 45995 46010-46011 46014 46017 46019 46024 46031 46041-46042 46044 46060-46062 46068 46070-46071 46075 46081-46082 46084-46085 46089 46101 46104 46107 46115 46122 46128 46138-46139 46142 46147 46157 46162-46163 46169-46171 46178 46184 46190 46194 46196 46198 46210 46212 46216-46217 46219-46221 46223-46225 46227 46232 46238-46239 46252-46254 46256 46265 46271 46273 46276 46279 46285 46287 46292 46294 46297-46298 46305 46311-46312 46324 46326-46328 46331-46333 46335-46337 46339-46340 46346 46350 46353 46356 46364 46370 46374 46377-46378 46382 46386 46391 46394 46399 46403 46405-46406 46409 46411 46419 46425 46428 46436 46439 46446-46448 46461-46462 46464 46466 46470 46476 46479 46481 46485 46490 46498 46500 46503-46505 46507 46509 46515 46517 46520 46522 46526-46529 46538 46540 46543 46549 46558-46560 46567 46573 46575-46576 46585-46586 46588-46589 46593 46598-46599 46604 46615 46619 46622 46624 46627-46628 46636 46646 46652 46666 46671 46678 46682 46685 46687-46689 46692 46701 46703 46705 46709-46710 46712 46715 46721 46723 46726-46728 46733 46735-46736 46738-46739 46741 46743 46750 46752 46756-46757 46759-46760 46772 46777 46785 46789 46797-46798 46804 46810 46814 46816 46820 46822-46823 46825-46827 46837 46840-46841 46843 46847 46854-46855 46864 46869 46873 46880-46882 46885 46889-46890 46893 46896 46898 46910-46911 46914 46917 46919 46926 46933 46935-46936 46941 46943-46944 46947 46953 46955 46959 46962-46963 46966 46976-46977 46981 46985-46986 46990 46994 46996 47002 47005 47010-47011 47014 47019 47023 47030-47032 47034 47036 47042 47047 47050 47060 47067 47070 47081 47085 47096 47103 47106 47112 47118 47122 47124 47126 47131 47133-47135 47138 47140 47142-47143 47151 47154 47158 47165-47168 47177 47188 47191-47193 47202-47203 47206 47211-47213 47215 47218-47219 47228 47230-47232 47234 47239 47241 47252 47259-47260 47268 47274 47278 47290 47294 47297 47302 47307 47321-47323 47327 47338-47339 47344-47345 47353 47355-47357 47362 47364-47365 47379 47382-47383 47391 47393 47395 47399-47400 47402 47409-47410 47419-47420 47422-47423 47430 47434 47445-47446 47451-47452 47455 47457-47459 47464 47466 47470 47476 47481 47487-47488 47500 47503-47504 47510 47524 47528 47531 47538 47544 47547-47548 47551 47553 47555 47559 47562 47567 47574 47578 47582 47596 47605-47606 47611 47615 47619 47623 47629 47632 47638-47639 47642-47645 47647 47650 47654 47656 47658 47665 47673 47676 47678-47679 47683-47684 47691 47695 47698 47702 47705 47709 47711 47718 47722 47724 47732 47734 47740 47742-47743 47748 47755 47758 47764 47772 47779 47781 47788-47789 47794 47805 47811 47815 47823 47828 47839 47845-47846 47850 47854 47864-47866 47875 47880-47881 47883 47887 47893-47894 47898 47907 47909 47913 47923-47924 47939 47941 47944 47957-47958 47960 47966 47970-47972 47979-47980 47983 47986 47991-47993 47996 48001 48003 48011 48013 48015 48017-48018 48020 48023 48025 48027 48039 48042-48043 48045-48048 48054 48058 48064-48066 48068-48070 48074 48083 48088 48091 48097 48101 48103 48105-48106 48111 48123 48125 48128 48132 48134 48137 48148-48149 48154 48157 48160-48161 48176 48179-48180 48182 48187-48188 48190-48191 48199-48200 48209-48210 48213 48218 48227-48228 48232 48236 48240 48242 48245 48251 48254 48258-48259 48266 48268 48273 48278 48284 48295-48297 48303-48305 48307 48311 48317 48319 48327 48329 48337-48338 48345 48347 48350-48351 48353 48357-48358 48363 48375-48376 48378 48383 48385 48388 48393 48402-48403 48405 48407 48411 48414 48417 48419 48422-48423 48433 48438 48445 48451 48457-48458 48465 48467-48469 48472-48473 48477 48480 48483 48485 48489 48491-48492 48503 48515-48516 48526 48539 48542 48544 48549 48553 48561 48566 48575-48576 48578 48582-48583 48587-48588 48607 48615 48619 48621 48629 48632 48641 48644-48646 48649-48650 48656 48661 48663 48669-48671 48673-48674 48680 48690-48692 48697-48699 48705 48718 48720 48724 48728 48733 48743 48746 48754 48756 48760 48762 48776 48779 48781 48783 48788 48791 48802 48806 48810-48811 48821-48822 48824 48828-48829 48834 48840 48843 48850 48855-48856 48863 48866 48868 48874-48876 48878 48881-48883 48888 48891 48893 48895 48904-48905 48908 48920 48926-48929 48932 48937 48942-48943 48945 48947 48949 48951 48955 48966 48969 48971 48975 48980 48990 48992 48996 49008-49009 49016 49037 49039 49048 49052 49058-49059 49064 49066 49069 49071 49077 49083 49095 49098 49118 49120 49122 49124-49126 49128 49132 49139-49140 49142 49144 49147 1.9867573869263685e-19 3.916500758235022e-19 https://cdsarc.cds.unistra.fr/viz-bin/moc/J/MNRAS/485/5573?format=ascii Optical default J/MNRAS/485/5573/table3 Halo white dwarf candidates within 100 pc identified by our Random Forest algorithm Dist Distance pc pos.distance float Gmag Gaia DR2 g-bang magnitude mag phot.mag;em.opt float recno Record number assigned by the VizieR team. Should Not be used for identification. meta.record int GaiaDR2 Gaia DR2 source identifier meta.id Name Star name in equatorial coordinate format meta.id;meta.main char pmRA Gaia DR2 proper motion in right ascension (pmRA*cosDE) mas/yr pos.pm;pos.eq.ra double pmDE Gaia DR2 proper motion in declination mas/yr pos.pm;pos.eq.dec double GMAG Absolute G-band magnitude mag phys.magAbs float BP-RP Gaia DR2 BP-RP colour index mag phot.color;em.opt.B;em.opt.R float Vtan Tangential velocity km/s phys.veloc.transverse float Ref References where the source has already been identified as a halo member (1) meta.ref char _RA Right Ascension (J2000) from SIMBAD (not part of the original data) deg pos.eq.ra;meta.main _DE Declination (J2000) from SIMBAD (not part of the original data) deg pos.eq.dec;meta.main Simbad Simbad column added by the CDS meta.ref.url char
J/MNRAS/485/5573/g100pcwd Gaia 100 pc White Dwarf sample RPmag Gaia DR2 RP-band magnitude mag phot.mag;em.opt.R double BP-RP Gaia DR2 BP-RP colour index mag phot.color;em.opt.B;em.opt.R double BP-G Gaia DR2 BP-G colour index mag phot.color;em.opt;em.opt double G-RP Gaia DR2 G-RP colour index mag phot.color;em.opt;em.opt double GMAG Absolute G-band magnitude mag phys.magAbs double U U component of space velocity km/s phys.veloc;pos.cartesian.x double V V component of space velocity km/s phys.veloc;pos.cartesian.y double W W component of space velocity k.s**-1 phys.veloc;pos.cartesian.z double Pop Galactic component classification (1) meta.code int recno Record number assigned by the VizieR team. Should Not be used for identification. meta.record int GaiaDR2 Gaia DR2 source identifier meta.id;meta.main Name Star name in equatorial coordinate format meta.id char RN Random number meta.id _RA.icrs Right ascension (ICRS) at Epoch=J2000, proper motions taken into account deg pos.eq.ra nullable indexed RA_ICRS Right ascension (ICRS) at Ep=2015.5 deg pos.eq.ra;meta.main indexed DE_ICRS Declination (ICRS) at Ep=2015.5 deg pos.eq.dec;meta.main indexed plx Parallax mas pos.parallax.trig double pmRA Gaia DR2 proper motion in right ascension (pmRA*cosDE) mas/yr pos.pm;pos.eq.ra double pmDE Gaia DR2 proper motion in declination mas/yr pos.pm;pos.eq.dec double Gmag Gaia DR2 g-band magnitude mag phot.mag;em.opt double BPmag Gaia DR2 BP-band magnitude mag phot.mag;em.opt.B double _DE.icrs Declination (ICRS) at Epoch=J2000, proper motions taken into account deg pos.eq.dec nullable indexed