[[1]]: lx qx mx Lx Tx ex 0 1.0000000 0.3655533 0.4794832 0.7623903 20.0000 20.00 1 0.6344466 0.2617787 0.0791071 2.0994890 19.2376 30.32 5 0.4683620 0.0731802 0.0152498 2.2475550 17.1381 36.59 10 0.4340872 0.0572246 0.0117682 2.1108190 14.8906 34.30 15 0.4092467 0.0739998 0.0153450 1.9735520 12.7797 31.23 20 0.3789625 0.0918971 0.0192276 1.8112310 10.8062 28.52 25 0.3441370 0.1026209 0.0215875 1.6359270 8.9950 26.14 30 0.3088214 0.1156073 0.0244799 1.4584220 7.3590 23.83 35 0.2731194 0.1258816 0.0267954 1.2830830 5.9006 21.60 40 0.2387387 0.1333650 0.0284972 1.1172790 4.6175 19.34 45 0.2068993 0.1407807 0.0301967 0.9645906 3.5003 16.92 50 0.1777719 0.1788587 0.0391312 0.8125488 2.5357 14.26 55 0.1459758 0.2218717 0.0496634 0.6521481 1.7231 11.80 60 0.1135879 0.3135940 0.0738324 0.4824504 1.0710 9.43 65 0.0779674 0.3965298 0.0979490 0.3156377 0.5885 7.55 70 0.0470510 0.5288386 0.1417499 0.1755373 0.2729 5.80 75 0.0221686 0.6695293 0.2012909 0.0737367 0.0973 4.39 80 0.0073261 0.7783132 0.2872071 0.0198532 0.0236 3.22 85 0.0016241 0.8935661 0.4183984 0.0034686 0.0038 2.31 90 0.0001729 0.9642549 0.6063221 0.0002749 0.0003 1.63 95 0.0000062 0.9929441 0.8763838 0.0000070 0.0000 1.14 100 0.0000000 1.0000000 1.2687740 0.0000000 0.0000 0.79 [[2]]: lx qx mx Lx Tx ex 0 1.0000000 0.3339930 0.4266076 0.7829046 22.5000 22.50 1 0.6660070 0.2376023 0.0704431 2.2464200 21.7171 32.61 5 0.5077622 0.0665652 0.0138190 2.4458630 19.4707 38.35 10 0.4739629 0.0520456 0.0106758 2.3106120 17.0248 35.92 15 0.4492952 0.0674398 0.0139392 2.1737550 14.7142 32.75 20 0.4189948 0.0838501 0.0174733 2.0106550 12.5404 29.93 25 0.3838620 0.0936911 0.0196206 1.8329960 10.5298 27.43 30 0.3478976 0.1055789 0.0222430 1.6513350 8.6968 25.00 35 0.3111670 0.1151117 0.0243688 1.4698690 7.0455 22.64 40 0.2753480 0.1222694 0.0259785 1.2959400 5.5756 20.25 45 0.2416814 0.1296734 0.0276561 1.1331920 4.2797 17.71 50 0.2103417 0.1651776 0.0358803 0.9683236 3.1465 14.96 55 0.1755980 0.2057149 0.0456507 0.7912944 2.1781 12.40 60 0.1394749 0.2914421 0.0677687 0.5998170 1.3868 9.94 65 0.0988260 0.3711843 0.0903310 0.4060916 0.7870 7.96 70 0.0621433 0.4985769 0.1310866 0.2363570 0.3809 6.13 75 0.0311601 0.6372039 0.1870284 0.1061622 0.1446 4.64 80 0.0113048 0.7560143 0.2694781 0.0317152 0.0384 3.40 85 0.0027582 0.8791869 0.3955882 0.0061300 0.0067 2.43 90 0.0003332 0.9578527 0.5774041 0.0005528 0.0006 1.71 95 0.0000140 0.9912993 0.8400745 0.0000166 0.0000 1.19 100 0.0000001 1.0000000 1.2239130 0.0000001 0.0000 0.82 [[3]]: lx qx mx Lx Tx ex 0 1.0000000 0.3055603 0.3812899 0.8013858 25.0000 25.00 1 0.6944397 0.2158218 0.0629136 2.3822380 24.1986 34.85 5 0.5445645 0.0606058 0.0125391 2.6320620 21.8164 40.06 10 0.5115607 0.0473799 0.0096965 2.4996330 19.1843 37.50 15 0.4873230 0.0615299 0.0126805 2.3646510 16.6847 34.24 20 0.4573381 0.0766005 0.0159049 2.2026130 14.3200 31.31 25 0.4223058 0.0856462 0.0178636 2.0247240 12.1174 28.69 30 0.3861369 0.0965443 0.0202471 1.8412140 10.0927 26.14 35 0.3488576 0.1054091 0.0222053 1.6560330 8.2515 23.65 40 0.3120848 0.1122734 0.0237337 1.4763310 6.5954 21.13 45 0.2770460 0.1196668 0.0253919 1.3056620 5.1191 18.48 50 0.2438928 0.1528522 0.0329910 1.1299930 3.8135 15.64 55 0.2066132 0.1911592 0.0420943 0.9382757 2.6835 12.99 60 0.1671172 0.2714855 0.0624329 0.7266983 1.7452 10.44 65 0.1217473 0.3483504 0.0836584 0.5069509 1.0185 8.37 70 0.0793366 0.4713142 0.1218229 0.3069411 0.5115 6.45 75 0.0419441 0.6080819 0.1747465 0.1459570 0.2046 4.88 80 0.0164387 0.7348495 0.2540500 0.0475495 0.0586 3.57 85 0.0043587 0.8650242 0.3755946 0.0100385 0.0111 2.54 90 0.0005883 0.9512622 0.5518998 0.0010140 0.0010 1.78 95 0.0000287 0.9895177 0.8078647 0.0000351 0.0000 1.23 100 0.0000003 1.0000000 1.1838380 0.0000003 0.0000 0.84 [[4]]: lx qx mx Lx Tx ex 0 1.0000000 0.2797340 0.3419009 0.8181729 27.5000 27.50 1 0.7202660 0.1960379 0.0562898 2.5084390 26.6818 37.04 5 0.5790665 0.0551927 0.0113841 2.8074420 24.1734 41.75 10 0.5471063 0.0431419 0.0088108 2.6788840 21.3659 39.05 15 0.5235031 0.0561617 0.0115435 2.5469530 18.6871 35.70 20 0.4941022 0.0700155 0.0144901 2.3874840 16.1401 32.67 25 0.4595074 0.0783388 0.0162799 2.2111440 13.7526 29.93 30 0.4235101 0.0883380 0.0184499 2.0277620 11.5415 27.25 35 0.3860981 0.0965959 0.0202585 1.8409810 9.5137 24.64 40 0.3488026 0.1031938 0.0217143 1.6576270 7.6727 22.00 45 0.3128083 0.1105775 0.0233551 1.4810270 6.0151 19.23 50 0.2782187 0.1416568 0.0303983 1.2965060 4.5341 16.30 55 0.2388072 0.1779379 0.0389110 1.0920530 3.2376 13.56 60 0.1963143 0.2533583 0.0576871 0.8622008 2.1455 10.93 65 0.1465765 0.3276097 0.0777480 0.6176347 1.2833 8.76 70 0.0985566 0.4465506 0.1136759 0.3871577 0.6657 6.75 75 0.0545461 0.5816295 0.1640275 0.1934164 0.2785 5.11 80 0.0228205 0.7147346 0.2404554 0.0678321 0.0851 3.73 85 0.0065099 0.8511081 0.3578602 0.0154826 0.0173 2.65 90 0.0009693 0.9445223 0.5291504 0.0017301 0.0018 1.86 95 0.0000538 0.9876087 0.7789896 0.0000682 0.0001 1.28 100 0.0000007 1.0000000 1.1477000 0.0000006 0.0000 0.87 [[5]]: lx qx mx Lx Tx ex 0 1.0000000 0.2561131 0.3072645 0.8335265 30.0000 30.00 1 0.7438869 0.1779434 0.0504031 2.6262240 29.1665 39.21 5 0.6115171 0.0502418 0.0103339 2.9730950 26.5403 43.40 10 0.5807934 0.0392657 0.0080040 2.8492350 23.5672 40.58 15 0.5579882 0.0512519 0.0105089 2.7213060 20.7179 37.13 20 0.5293902 0.0639928 0.0132042 2.5656460 17.9966 33.99 25 0.4955130 0.0716554 0.0148416 2.3923500 15.4310 31.14 30 0.4600068 0.0808324 0.0168191 2.2107940 13.0386 28.34 35 0.4228234 0.0885353 0.0184930 2.0242730 10.8278 25.61 40 0.3853886 0.0948894 0.0198835 1.8391760 8.8036 22.84 45 0.3488193 0.1022644 0.0215087 1.6584840 6.9644 19.97 50 0.3131475 0.1314173 0.0280531 1.4669700 5.3059 16.94 55 0.2719944 0.1658455 0.0360379 1.2517100 3.8389 14.11 60 0.2268854 0.2367790 0.0534281 1.0054950 2.5872 11.40 65 0.1731637 0.3086402 0.0724633 0.7375497 1.5817 9.13 70 0.1197184 0.4239017 0.1064375 0.4767948 0.8442 7.05 75 0.0689696 0.5574360 0.1545681 0.2487326 0.3674 5.33 80 0.0305235 0.6955911 0.2283517 0.0929787 0.1186 3.89 85 0.0092916 0.8374574 0.3419739 0.0227542 0.0257 2.76 90 0.0015103 0.9376652 0.5086669 0.0027840 0.0029 1.93 95 0.0000941 0.9855815 0.7528760 0.0001232 0.0001 1.32 100 0.0000014 1.0000000 1.1148600 0.0000012 0.0000 0.90 [[6]]: lx qx mx Lx Tx ex 0 1.0000000 0.2343819 0.2765073 0.8476518 32.5000 32.50 1 0.7656181 0.1612965 0.0451263 2.7365780 31.6523 41.34 5 0.6421266 0.0456870 0.0093729 3.1299570 28.9158 45.03 10 0.6127898 0.0356997 0.0072644 3.0114460 25.7858 42.08 15 0.5909134 0.0467350 0.0095615 2.8882880 22.7744 38.54 20 0.5632970 0.0584520 0.0120279 2.7374630 19.8861 35.30 25 0.5303712 0.0655067 0.0135267 2.5684730 17.1486 32.33 30 0.4956283 0.0739272 0.0153294 2.3902050 14.5801 29.42 35 0.4589879 0.0811196 0.0168812 2.2055800 12.1899 26.56 40 0.4217550 0.0872495 0.0182126 2.0204600 9.9844 23.67 45 0.3849571 0.0946164 0.0198236 1.8373700 7.9639 20.69 50 0.3485338 0.1219971 0.0259171 1.6406210 6.1265 17.58 55 0.3060137 0.1547206 0.0334266 1.4164370 4.4859 14.66 60 0.2586671 0.2215261 0.0495769 1.1558120 3.0695 11.87 65 0.2013656 0.2911882 0.0677001 0.8661032 1.9137 9.50 70 0.1427303 0.4030647 0.0999504 0.5755806 1.0476 7.34 75 0.0852008 0.5351780 0.1461414 0.3120099 0.4720 5.54 80 0.0396032 0.6773456 0.2174808 0.1233445 0.1600 4.04 85 0.0127781 0.8240825 0.3276244 0.0321412 0.0366 2.87 90 0.0022479 0.9307176 0.4900773 0.0042690 0.0045 1.99 95 0.0001557 0.9834449 0.7290844 0.0002101 0.0002 1.36 100 0.0000026 1.0000000 1.0848180 0.0000024 0.0000 0.92 [[7]]: lx qx mx Lx Tx ex 0 1.0000000 0.2142872 0.2489647 0.8607133 35.0000 35.00 1 0.7857128 0.1459033 0.0403610 2.8403210 34.1393 43.45 5 0.6710747 0.0414752 0.0084887 3.2788330 31.2990 46.64 10 0.6432417 0.0324022 0.0065828 3.1661870 28.0201 43.56 15 0.6223993 0.0425581 0.0086891 3.0484250 24.8539 39.93 20 0.5959111 0.0533284 0.0109459 2.9032860 21.8055 36.59 25 0.5641321 0.0598210 0.0123179 2.7396680 18.9022 33.51 30 0.5303851 0.0675421 0.0139610 2.5659500 16.1626 30.47 35 0.4945618 0.0742624 0.0154015 2.3846630 13.5966 27.49 40 0.4578345 0.0801849 0.0166789 2.2010650 11.2120 24.49 45 0.4211231 0.0875442 0.0182769 2.0171350 9.0109 21.40 50 0.3842562 0.1132862 0.0239601 1.8168070 6.9938 18.20 55 0.3407253 0.1444334 0.0310385 1.5855170 5.1769 15.19 60 0.2915131 0.2074219 0.0460714 1.3124470 3.5914 12.32 65 0.2310469 0.2750506 0.0633775 1.0027160 2.2790 9.86 70 0.1674974 0.3837969 0.0940935 0.6832029 1.2763 7.62 75 0.1032124 0.5145962 0.1385741 0.3832802 0.5931 5.75 80 0.0500997 0.6599314 0.2076438 0.1592263 0.2098 4.19 85 0.0170373 0.8109882 0.3145702 0.0439236 0.0506 2.97 90 0.0032203 0.9237019 0.4730910 0.0062875 0.0066 2.06 95 0.0002457 0.9812066 0.7072694 0.0003409 0.0003 1.41 100 0.0000046 1.0000000 1.0571780 0.0000044 0.0000 0.95 [[8]]: lx qx mx Lx Tx ex 0 1.0000000 0.1956229 0.2241210 0.8728451 37.5000 37.50 1 0.8043771 0.1316057 0.0360298 2.9381420 36.6272 45.53 5 0.6985165 0.0375632 0.0076711 3.4204270 33.6890 48.23 10 0.6722780 0.0293394 0.0059517 3.3140520 30.2686 45.02 15 0.6525537 0.0386786 0.0078821 3.2021930 26.9545 41.31 20 0.6273139 0.0485695 0.0099458 3.0634450 23.7523 37.86 25 0.5968455 0.0545401 0.0112013 2.9061030 20.6889 34.66 30 0.5642935 0.0616115 0.0126978 2.7380270 17.7828 31.51 35 0.5295265 0.0678932 0.0140360 2.5613500 15.0448 28.41 40 0.4935753 0.0736231 0.0152640 2.3806640 12.4834 25.29 45 0.4572367 0.0809755 0.0168500 2.1973240 10.1028 22.10 50 0.4202118 0.1051954 0.0221579 1.9949680 7.9054 18.81 55 0.3760074 0.1348785 0.0288431 1.7583200 5.9105 15.72 60 0.3252921 0.1943216 0.0428623 1.4747530 4.1521 12.76 65 0.2620808 0.2600616 0.0594311 1.1468270 2.6774 10.22 70 0.1939237 0.3659005 0.0887712 0.7993222 1.5306 7.89 75 0.1229669 0.4954794 0.1317308 0.4625156 0.7312 5.95 80 0.0620393 0.6432872 0.1986843 0.2008669 0.2687 4.33 85 0.0221302 0.7981750 0.3026210 0.0583694 0.0679 3.07 90 0.0044664 0.9166369 0.4574781 0.0089493 0.0095 2.12 95 0.0003723 0.9788743 0.6871551 0.0005304 0.0005 1.45 100 0.0000079 1.0000000 1.0316210 0.0000076 0.0000 0.97 [[9]]: lx qx mx Lx Tx ex 0 1.0000000 0.1782187 0.2015689 0.8841578 40.0000 40.00 1 0.8217813 0.1182735 0.0320709 3.0306280 39.1158 47.60 5 0.7245864 0.0339153 0.0069120 3.5553520 36.0852 49.80 10 0.7000118 0.0264835 0.0053649 3.4555660 32.5299 46.47 15 0.6814731 0.0350611 0.0071322 3.3500220 29.0743 42.66 20 0.6575799 0.0441319 0.0090174 3.2182510 25.7243 39.12 25 0.6285596 0.0496157 0.0101652 3.0679510 22.5060 35.81 30 0.5973732 0.0560813 0.0115265 2.9064630 19.4381 32.54 35 0.5638718 0.0619540 0.0127706 2.7355170 16.5316 29.32 40 0.5289377 0.0675044 0.0139530 2.5589950 13.7961 26.08 45 0.4932321 0.0748503 0.0155280 2.3775560 11.2371 22.78 50 0.4563135 0.0976508 0.0204906 2.1746250 8.8595 19.42 55 0.4117541 0.1259687 0.0268151 1.9342870 6.6849 16.24 60 0.3598860 0.1821057 0.0399097 1.6421400 4.7506 13.20 65 0.2943487 0.2460845 0.0558091 1.2979000 3.1085 10.56 70 0.2219140 0.3492125 0.0839072 0.9235817 1.8106 8.16 75 0.1444189 0.4776533 0.1255045 0.5496389 0.8870 6.14 80 0.0754367 0.6273572 0.1904776 0.2484584 0.3374 4.47 85 0.0281109 0.7856409 0.2916238 0.0757315 0.0889 3.16 90 0.0060258 0.9095383 0.4430531 0.0123704 0.0132 2.19 95 0.0005451 0.9764547 0.6685180 0.0007962 0.0008 1.48 100 0.0000128 1.0000000 1.0078870 0.0000127 0.0000 0.99 [[10]]: lx qx mx Lx Tx ex 0 1.0000000 0.1619324 0.1809819 0.8947439 42.5000 42.50 1 0.8380675 0.1057976 0.0284341 3.1182820 41.6053 49.64 5 0.7494020 0.0305018 0.0062044 3.6841500 38.4870 51.36 10 0.7265439 0.0238109 0.0048173 3.5912000 34.8028 47.90 15 0.7092442 0.0316758 0.0064330 3.4923030 31.2116 44.01 20 0.6867783 0.0399793 0.0081523 3.3679950 27.7193 40.36 25 0.6593214 0.0450076 0.0092003 3.2253880 24.3513 36.93 30 0.6296469 0.0509063 0.0104363 3.0713070 21.1259 33.55 35 0.5975939 0.0563964 0.0115931 2.9070840 18.0546 30.21 40 0.5638918 0.0617787 0.0127333 2.7358510 15.1475 26.86 45 0.5290553 0.0691185 0.0142981 2.5575140 12.4117 23.46 50 0.4924878 0.0905909 0.0189418 2.3553630 9.8542 20.01 55 0.4478728 0.1176312 0.0249341 2.1129230 7.4988 16.74 60 0.3951890 0.1706746 0.0371809 1.8140680 5.3859 13.63 65 0.3277403 0.2330053 0.0524694 1.4554250 3.5718 10.90 70 0.2513751 0.3335964 0.0794397 1.0556170 2.1164 8.42 75 0.1675172 0.4609722 0.1198087 0.6445342 1.0608 6.33 80 0.0902964 0.6120909 0.1829225 0.3021478 0.4162 4.61 85 0.0350268 0.7733814 0.2814544 0.0962468 0.1141 3.26 90 0.0079377 0.9024191 0.4296645 0.0166715 0.0179 2.25 95 0.0007746 0.9739544 0.6511747 0.0011585 0.0012 1.52 100 0.0000202 1.0000000 0.9857580 0.0000205 0.0000 1.01 [[11]]: lx qx mx Lx Tx ex 0 1.0000000 0.1466441 0.1620948 0.9046813 45.0000 45.00 1 0.8533559 0.0940862 0.0250782 3.2015410 44.0953 51.67 5 0.7730669 0.0272974 0.0055427 3.8073020 40.8938 52.90 10 0.7519642 0.0213022 0.0043044 3.7213760 37.0865 49.32 15 0.7359457 0.0284981 0.0057787 3.6293930 33.3651 45.34 20 0.7149727 0.0360813 0.0073434 3.5129500 29.7357 41.59 25 0.6891755 0.0406818 0.0082984 3.3785890 26.2227 38.05 30 0.6611386 0.0460484 0.0094178 3.2326260 22.8442 34.55 35 0.6306943 0.0511793 0.0104936 3.0760030 19.6115 31.10 40 0.5984158 0.0564038 0.0115947 2.9110720 16.5355 27.63 45 0.5646628 0.0637380 0.0131499 2.7369370 13.6245 24.13 50 0.5286723 0.0839635 0.0174979 2.5368280 10.8875 20.59 55 0.4842831 0.1098046 0.0231828 2.2937920 8.3507 17.24 60 0.4311066 0.1599439 0.0346489 1.9900460 6.0569 14.05 65 0.3621538 0.2207275 0.0493770 1.6189190 4.0669 11.23 70 0.2822165 0.3189372 0.0753178 1.1950600 2.4479 8.67 75 0.1922071 0.4453133 0.1145731 0.7470546 1.2529 6.52 80 0.1066147 0.5974420 0.1759360 0.3620414 0.5058 4.74 85 0.0429186 0.7613909 0.2720102 0.1201346 0.1438 3.35 90 0.0102408 0.8952904 0.4171872 0.0219769 0.0236 2.31 95 0.0010723 0.9713792 0.6349728 0.0016404 0.0017 1.56 100 0.0000307 1.0000000 0.9650543 0.0000318 0.0000 1.04 [[12]]: lx qx mx Lx Tx ex 0 1.0000000 0.1322516 0.1446896 0.9140365 47.5000 47.50 1 0.8677484 0.0830610 0.0219691 3.2807850 46.5860 53.69 5 0.7956724 0.0242808 0.0049219 3.9252330 43.3052 54.43 10 0.7763528 0.0189404 0.0038228 3.8464740 39.3799 50.72 15 0.7616484 0.0255065 0.0051645 3.7616170 35.5335 46.65 20 0.7422214 0.0324116 0.0065848 3.6533710 31.7719 42.81 25 0.7181649 0.0366096 0.0074529 3.5277240 28.1185 39.15 30 0.6918731 0.0414751 0.0084635 3.3904960 24.5908 35.54 35 0.6631776 0.0462678 0.0094638 3.2422470 21.2003 31.97 40 0.6324938 0.0513439 0.0105282 3.0845300 17.9580 28.39 45 0.6000191 0.0586727 0.0120746 2.9156040 14.8735 24.79 50 0.5648144 0.0777245 0.0161473 2.7187120 11.9579 21.17 55 0.5209144 0.1024366 0.0215468 2.4765060 9.2392 17.74 60 0.4675537 0.1498419 0.0322909 2.1696270 6.7627 14.46 65 0.3974946 0.2091692 0.0465028 1.7879280 4.5930 11.55 70 0.3143510 0.3051369 0.0714996 1.3415470 2.8051 8.92 75 0.2184309 0.4305719 0.1097398 0.8570288 1.4636 6.70 80 0.1243807 0.5833687 0.1694494 0.4282092 0.6065 4.88 85 0.0518209 0.7496626 0.2632059 0.1475962 0.1783 3.44 90 0.0129727 0.8881615 0.4055162 0.0284128 0.0307 2.37 95 0.0014508 0.9687344 0.6197844 0.0022677 0.0023 1.60 100 0.0000454 1.0000000 0.9456218 0.0000480 0.0000 1.06 [[13]]: lx qx mx Lx Tx ex 0 1.0000000 0.1187886 0.1287280 0.9227874 50.0000 50.00 1 0.8812114 0.0723161 0.0189848 3.3566730 49.0772 55.69 5 0.8174856 0.0214589 0.0043430 4.0391860 45.7205 55.93 10 0.7999433 0.0167144 0.0033699 3.9676270 41.6814 52.11 15 0.7865727 0.0227081 0.0045917 3.8899960 37.7137 47.95 20 0.7687111 0.0289788 0.0058775 3.7900920 33.8237 44.00 25 0.7464348 0.0328003 0.0066650 3.6734140 30.0336 40.24 30 0.7219515 0.0371972 0.0075747 3.5453070 26.3602 36.51 35 0.6950970 0.0416736 0.0085048 3.4059640 22.8149 32.82 40 0.6661298 0.0466108 0.0095355 3.2561320 19.4090 29.14 45 0.6350809 0.0539345 0.0110736 3.0931980 16.1528 25.43 50 0.6008282 0.0718884 0.0148915 2.9004790 13.0596 21.74 55 0.5576356 0.0955444 0.0200273 2.6603090 10.1591 18.22 60 0.5043567 0.1403923 0.0301074 2.3518450 7.4988 14.87 65 0.4335489 0.1983572 0.0438461 1.9613500 5.1470 11.87 70 0.3475513 0.2922279 0.0679813 1.4940030 3.1856 9.17 75 0.2459871 0.4167825 0.1053001 0.9736278 1.6916 6.88 80 0.1434640 0.5699546 0.1634586 0.5002366 0.7180 5.00 85 0.0616960 0.7382935 0.2550430 0.1785965 0.2178 3.53 90 0.0161463 0.8811055 0.3946612 0.0360475 0.0392 2.43 95 0.0019197 0.9660503 0.6056283 0.0030622 0.0031 1.63 100 0.0000652 1.0000000 0.9274940 0.0000703 0.0001 1.08 [[14]]: lx qx mx Lx Tx ex 0 1.0000000 0.1060359 0.1138852 0.9310766 52.5000 52.50 1 0.8939641 0.0602177 0.0156773 3.4337920 51.5689 57.69 5 0.8401316 0.0185164 0.0037414 4.1578780 48.1351 57.29 10 0.8245754 0.0142943 0.0028786 4.0945890 43.9773 53.33 15 0.8127887 0.0202479 0.0040893 4.0244460 39.8827 49.07 20 0.7963315 0.0262802 0.0053232 3.9314310 35.8582 45.03 25 0.7754037 0.0298316 0.0060530 3.8215030 31.9268 41.17 30 0.7522721 0.0336588 0.0068423 3.7005910 28.1053 37.36 35 0.7269515 0.0377464 0.0076886 3.5689020 24.4047 33.57 40 0.6995118 0.0425042 0.0086779 3.4262020 20.8358 29.79 45 0.6697796 0.0499016 0.0102252 3.2686830 17.4096 25.99 50 0.6363565 0.0668922 0.0138223 3.0796210 14.1409 22.22 55 0.5937892 0.0897673 0.0187619 2.8410190 11.0613 18.63 60 0.5404863 0.1324399 0.0282862 2.5306350 8.2203 15.21 65 0.4689043 0.1896828 0.0417366 2.1310580 5.6896 12.13 70 0.3799613 0.2820255 0.0652363 1.6426250 3.5586 9.37 75 0.2728025 0.4057302 0.1017971 1.0873020 1.9160 7.02 80 0.1621183 0.5590279 0.1587091 0.5710362 0.8286 5.11 85 0.0714896 0.7288954 0.2485492 0.2096505 0.2576 3.60 90 0.0193812 0.8751659 0.3860014 0.0439422 0.0480 2.47 95 0.0024194 0.9637409 0.5943146 0.0039233 0.0040 1.66 100 0.0000877 1.0000000 0.9129981 0.0000961 0.0001 1.10 [[15]]: lx qx mx Lx Tx ex 0 1.0000000 0.0939352 0.1002261 0.9372330 55.0000 55.00 1 0.9060648 0.0504351 0.0130411 3.5041140 54.0628 59.67 5 0.8603673 0.0158445 0.0031968 4.2643480 50.5587 58.76 10 0.8467352 0.0122689 0.0024683 4.2087440 46.2943 54.67 15 0.8363466 0.0175157 0.0035328 4.1465750 42.0856 50.32 20 0.8216974 0.0228476 0.0046202 4.0634300 37.9390 46.17 25 0.8029236 0.0260734 0.0052808 3.9643740 33.8756 42.19 30 0.7819886 0.0295940 0.0060041 3.8544020 29.9112 38.25 35 0.7588464 0.0335562 0.0068211 3.7331190 26.0568 34.34 40 0.7333824 0.0383820 0.0078205 3.5993550 22.3237 30.44 45 0.7052337 0.0459316 0.0093934 3.4484260 18.7243 26.55 50 0.6728412 0.0621208 0.0128060 3.2638920 15.2759 22.70 55 0.6310438 0.0842128 0.0175520 3.0276780 12.0120 19.04 60 0.5779018 0.1249478 0.0265839 2.7162110 8.9843 15.55 65 0.5056943 0.1812160 0.0396961 2.3085360 6.2681 12.40 70 0.4140544 0.2720647 0.0625861 1.7999130 3.9596 9.56 75 0.3014048 0.3953021 0.0985362 1.2091590 2.1596 7.17 80 0.1822588 0.5485747 0.1542693 0.6481043 0.9505 5.22 85 0.0822762 0.7197894 0.2424607 0.2442523 0.3024 3.68 90 0.0230547 0.8693196 0.3778619 0.0530402 0.0581 2.52 95 0.0030128 0.9614244 0.5836647 0.0049627 0.0051 1.69 100 0.0001162 1.0000000 0.8993463 0.0001292 0.0001 1.11 [[16]]: lx qx mx Lx Tx ex 0 1.0000000 0.0823058 0.0873612 0.9421322 57.5000 57.50 1 0.9176942 0.0415725 0.0106829 3.5711950 56.5579 61.63 5 0.8795434 0.0133675 0.0026933 4.3653850 52.9867 60.24 10 0.8677861 0.0103794 0.0020863 4.3173140 48.6213 56.03 15 0.8587790 0.0149640 0.0030144 4.2630530 44.3040 51.59 20 0.8459283 0.0196345 0.0039643 4.1897790 40.0409 47.33 25 0.8293189 0.0225336 0.0045560 4.1017440 35.8511 43.23 30 0.8106313 0.0257309 0.0052105 4.0030970 31.7494 39.17 35 0.7897730 0.0295215 0.0059892 3.8929090 27.7463 35.13 40 0.7664578 0.0343479 0.0069847 3.7691060 23.8534 31.12 45 0.7401316 0.0419812 0.0085689 3.6260860 20.0843 27.14 50 0.7090600 0.0573364 0.0117918 3.4477280 16.4582 23.21 55 0.6684051 0.0786019 0.0163367 3.2159350 13.0105 19.46 60 0.6158672 0.1173461 0.0248701 2.9058890 9.7945 15.90 65 0.5435976 0.1725548 0.0376275 2.4928670 6.8887 12.67 70 0.4497972 0.2618113 0.0598884 1.9663570 4.3958 9.77 75 0.3320352 0.3845007 0.0952030 1.3410070 2.4294 7.32 80 0.2043674 0.5375996 0.1497120 0.7338613 1.0884 5.33 85 0.0944996 0.7101074 0.2361921 0.2841114 0.3546 3.75 90 0.0273947 0.8630058 0.3694612 0.0639900 0.0704 2.57 95 0.0037529 0.9588751 0.5726560 0.0062840 0.0065 1.72 100 0.0001543 1.0000000 0.8852320 0.0001743 0.0002 1.13 [[17]]: lx qx mx Lx Tx ex 0 1.0000000 0.0711625 0.0750986 0.9475879 60.0000 60.00 1 0.9288375 0.0335056 0.0085623 3.6346810 59.0524 63.58 5 0.8977162 0.0110695 0.0022275 4.4612540 55.4177 61.73 10 0.8877789 0.0086159 0.0017303 4.4205370 50.9565 57.40 15 0.8801299 0.0125827 0.0025318 4.3740710 46.5359 52.87 20 0.8690555 0.0166312 0.0033530 4.3105890 42.1619 48.51 25 0.8546021 0.0192059 0.0038769 4.2336180 37.8513 44.29 30 0.8381886 0.0220686 0.0044610 4.1465490 33.6177 40.11 35 0.8196910 0.0256494 0.0051938 4.0479960 29.4711 35.95 40 0.7986665 0.0304166 0.0061735 3.9350300 25.4231 31.83 45 0.7743737 0.0380701 0.0077557 3.8011160 21.4881 27.75 50 0.7448933 0.0525642 0.0107850 3.6304950 17.6870 23.74 55 0.7057385 0.0729648 0.0151226 3.4051070 14.0565 19.92 60 0.6542444 0.1096754 0.0231540 3.0990110 10.6514 16.28 65 0.5824899 0.1637438 0.0355423 2.6835400 7.5524 12.97 70 0.4871108 0.2513148 0.0571580 2.1417500 4.8688 10.00 75 0.3646926 0.3733735 0.0918154 1.4830470 2.7271 7.48 80 0.2285261 0.5261353 0.1450603 0.8288665 1.2440 5.44 85 0.1082904 0.6998610 0.2297734 0.3298392 0.4152 3.83 90 0.0325022 0.8562149 0.3608370 0.0771231 0.0853 2.63 95 0.0046733 0.9560792 0.5613370 0.0079597 0.0082 1.75 100 0.0002053 1.0000000 0.8707181 0.0002357 0.0002 1.15 [[18]]: lx qx mx Lx Tx ex 0 1.0000000 0.0605116 0.0634627 0.9534990 62.5000 62.50 1 0.9394884 0.0261124 0.0066397 3.6947890 61.5465 65.51 5 0.9149562 0.0089327 0.0017954 4.5523050 57.8517 63.23 10 0.9067831 0.0069671 0.0013981 4.5187530 53.2994 58.78 15 0.9004654 0.0103595 0.0020823 4.4799390 48.7807 54.17 20 0.8911371 0.0138248 0.0027834 4.4261180 44.3007 49.71 25 0.8788173 0.0160808 0.0032412 4.3601690 39.8746 45.37 30 0.8646852 0.0186025 0.0037540 4.2848210 35.5144 41.07 35 0.8485999 0.0219439 0.0044355 4.1983080 31.2296 36.80 40 0.8299782 0.0266015 0.0053891 4.0969020 27.0313 32.57 45 0.8078995 0.0342179 0.0069579 3.9731500 22.9344 28.39 50 0.7802549 0.0478306 0.0097909 3.8117060 18.9612 24.30 55 0.7429348 0.0673347 0.0139167 3.5946130 15.1495 20.39 60 0.6929095 0.1019813 0.0214461 3.2949550 11.5549 16.68 65 0.6222457 0.1548353 0.0334533 2.8799990 8.2600 13.27 70 0.5259001 0.2406358 0.0544120 2.3257800 5.3800 10.23 75 0.3993497 0.3619804 0.0883946 1.6353570 3.0542 7.65 80 0.2547930 0.5142295 0.1403415 0.9335949 1.4188 5.57 85 0.1237709 0.6890761 0.2232406 0.3820433 0.4852 3.92 90 0.0384833 0.8489474 0.3520358 0.0928040 0.1032 2.68 95 0.0058130 0.9530266 0.5497674 0.0100769 0.0104 1.79 100 0.0002731 1.0000000 0.8558832 0.0003190 0.0003 1.17 [[19]]: lx qx mx Lx Tx ex 0 1.0000000 0.0503545 0.0524652 0.9597699 65.0000 65.00 1 0.9496455 0.0192807 0.0048803 3.7517410 64.0402 67.44 5 0.9313357 0.0069396 0.0013932 4.6389050 60.2885 64.73 10 0.9248726 0.0054219 0.0010872 4.6123280 55.6496 60.17 15 0.9198580 0.0082813 0.0016629 4.5810080 51.0373 55.48 20 0.9122404 0.0112011 0.0022523 4.5366780 46.4562 50.93 25 0.9020223 0.0131469 0.0026461 4.4816500 41.9196 46.47 30 0.8901635 0.0153264 0.0030880 4.4180740 37.4379 42.06 35 0.8765205 0.0184076 0.0037143 4.3438790 33.0198 37.67 40 0.8603858 0.0229151 0.0046340 4.2546110 28.6760 33.33 45 0.8406700 0.0304453 0.0061794 4.1419240 24.4214 29.05 50 0.8150756 0.0431639 0.0088154 3.9909420 20.2794 24.88 55 0.7798938 0.0617477 0.0127268 3.7838930 16.2885 20.89 60 0.7317371 0.0943149 0.0197574 3.4930520 12.5046 17.09 65 0.6627234 0.1458903 0.0313752 3.0815730 9.0115 13.60 70 0.5660384 0.2298467 0.0516699 2.5179470 5.9300 10.48 75 0.4359364 0.3503968 0.0849651 1.7978050 3.4120 7.83 80 0.2831857 0.5019499 0.1355882 1.0483580 1.6142 5.70 85 0.1410407 0.6777985 0.2166376 0.4412768 0.5659 4.01 90 0.0454435 0.8412173 0.3431153 0.1114141 0.1246 2.74 95 0.0072156 0.9497125 0.5380219 0.0127370 0.0132 1.83 100 0.0003629 1.0000000 0.8408273 0.0004315 0.0004 1.19 [[20]]: lx qx mx Lx Tx ex 0 1.0000000 0.0406864 0.0421047 0.9663141 67.5000 67.50 1 0.9593136 0.0129117 0.0032546 3.8057620 66.5337 69.36 5 0.9469272 0.0050731 0.0010175 4.7214260 62.7279 66.24 10 0.9421234 0.0039690 0.0007953 4.7016430 58.0065 61.57 15 0.9383841 0.0063346 0.0012708 4.6776540 53.3049 56.80 20 0.9324398 0.0087448 0.0017563 4.6426300 48.6272 52.15 25 0.9242858 0.0103915 0.0020887 4.5983770 43.9846 47.59 30 0.9146810 0.0122319 0.0024608 4.5465530 39.3862 43.06 35 0.9034927 0.0150403 0.0030299 4.4848500 34.8396 38.56 40 0.8899039 0.0193675 0.0039098 4.4081550 30.3548 34.11 45 0.8726687 0.0267715 0.0054240 4.3072730 25.9466 29.73 50 0.8493061 0.0385919 0.0078640 4.1678670 21.6394 25.48 55 0.8165298 0.0562410 0.0115603 3.9724350 17.4715 21.40 60 0.7706074 0.0867292 0.0180993 3.6926350 13.4991 17.52 65 0.7037732 0.1369742 0.0293227 3.2875090 9.8064 13.93 70 0.6073744 0.2190280 0.0489521 2.7175950 6.5189 10.73 75 0.4743424 0.3387081 0.0815529 1.9700530 3.8013 8.01 80 0.3136788 0.4893789 0.1308362 1.1732830 1.8313 5.84 85 0.1601710 0.6660907 0.2100129 0.5080088 0.6580 4.11 90 0.0534826 0.8330523 0.3341395 0.1333389 0.1500 2.80 95 0.0089288 0.9461381 0.5261841 0.0160550 0.0166 1.86 100 0.0004809 1.0000000 0.8256591 0.0005825 0.0006 1.21 [[21]]: lx qx mx Lx Tx ex 0 1.0000000 0.0311647 0.0320195 0.9733072 70.0000 70.00 1 0.9688352 0.0078087 0.0019618 3.8562230 69.0267 71.25 5 0.9612699 0.0034185 0.0006850 4.7973130 65.1705 67.80 10 0.9579839 0.0027479 0.0005503 4.7836010 60.3732 63.02 15 0.9553515 0.0044247 0.0008868 4.7666130 55.5896 58.19 20 0.9511244 0.0063380 0.0012715 4.7411540 50.8229 53.43 25 0.9450961 0.0076853 0.0015428 4.7080480 46.0818 48.76 30 0.9378328 0.0091785 0.0018438 4.6685050 41.3737 44.12 35 0.9292249 0.0116964 0.0023525 4.6200400 36.7052 39.50 40 0.9183563 0.0158781 0.0032000 4.5567850 32.0852 34.94 45 0.9037746 0.0230661 0.0046649 4.4688410 27.5284 30.46 50 0.8829280 0.0340420 0.0069215 4.3425040 23.0596 26.12 55 0.8528713 0.0506052 0.0103730 4.1607730 18.7171 21.95 60 0.8097116 0.0790958 0.0164434 3.8948500 14.5563 17.98 65 0.7456668 0.1277500 0.0272191 3.4997120 10.6614 14.30 70 0.6504079 0.2077692 0.0461571 2.9277160 7.1617 11.01 75 0.5152731 0.3264675 0.0780308 2.1558160 4.2340 8.22 80 0.3470532 0.4760185 0.1259059 1.3121210 2.0782 5.99 85 0.1818494 0.6534667 0.2031142 0.5850530 0.7661 4.21 90 0.0630169 0.8240896 0.3247643 0.1599054 0.1810 2.87 95 0.0110853 0.9421294 0.5137985 0.0203267 0.0211 1.91 100 0.0006415 1.0000000 0.8097997 0.0007922 0.0008 1.23 [[22]]: lx qx mx Lx Tx ex 0 1.0000000 0.0228180 0.0232864 0.9798849 72.5000 72.50 1 0.9771820 0.0046918 0.0011764 3.8972050 71.5201 73.19 5 0.9725972 0.0022298 0.0004465 4.8570220 67.6229 69.53 10 0.9704286 0.0018162 0.0003635 4.8479130 62.7659 64.68 15 0.9686661 0.0029624 0.0005933 4.8364440 57.9180 59.79 20 0.9657965 0.0041608 0.0008338 4.8193380 53.0815 54.96 25 0.9617781 0.0051630 0.0010352 4.7969730 48.2622 50.18 30 0.9568125 0.0064518 0.0012944 4.7692470 43.4652 45.43 35 0.9506393 0.0086347 0.0017341 4.7334960 38.6960 40.71 40 0.9424309 0.0123340 0.0024815 4.6842570 33.9625 36.04 45 0.9308069 0.0189201 0.0038187 4.6117680 29.2782 31.45 50 0.9131958 0.0286275 0.0058053 4.5032370 24.6665 27.01 55 0.8870533 0.0436750 0.0089220 4.3422860 20.1632 22.73 60 0.8483112 0.0692912 0.0143350 4.1004830 15.8209 18.65 65 0.7895308 0.1152358 0.0243966 3.7292960 11.7204 14.84 70 0.6985486 0.1916557 0.0422147 3.1714290 7.9912 11.44 75 0.5646677 0.3081848 0.0728649 2.3882830 4.8197 8.54 80 0.3906457 0.4556857 0.1186268 1.5006030 2.4314 6.22 85 0.2126340 0.6338944 0.1928792 0.6988183 0.9308 4.38 90 0.0778465 0.8098707 0.3108000 0.2028495 0.2320 2.98 95 0.0148009 0.9355918 0.4953109 0.0279574 0.0292 1.97 100 0.0009533 1.0000000 0.7861547 0.0012126 0.0012 1.27 [[23]]: lx qx mx Lx Tx ex 0 1.0000000 0.0152964 0.0155108 0.9861704 75.0000 75.00 1 0.9847037 0.0024407 0.0006111 3.9328030 74.0138 75.16 5 0.9823003 0.0012888 0.0002579 4.9080200 70.0810 71.34 10 0.9810343 0.0010677 0.0002136 4.9026580 65.1730 66.43 15 0.9799868 0.0017897 0.0003583 4.8957250 60.2703 61.50 20 0.9782329 0.0025578 0.0005122 4.8851590 55.3746 56.61 25 0.9757308 0.0032487 0.0006508 4.8710470 50.4895 51.75 30 0.9725610 0.0041776 0.0008372 4.8530540 45.6184 46.91 35 0.9684981 0.0058634 0.0011760 4.8288620 40.7654 42.09 40 0.9628194 0.0089203 0.0017917 4.7934840 35.9365 37.32 45 0.9542307 0.0146734 0.0029555 4.7375490 31.1430 32.64 50 0.9402289 0.0229229 0.0046356 4.6494180 26.4055 28.08 55 0.9186762 0.0361556 0.0073588 4.5136640 21.7560 23.68 60 0.8854609 0.0584712 0.0120319 4.3030470 17.2424 19.47 65 0.8336869 0.1010701 0.0212447 3.9662080 12.9393 15.52 70 0.7494261 0.1731061 0.0377586 3.4357780 8.9731 11.97 75 0.6196958 0.2866746 0.0669282 2.6543510 5.5374 8.94 80 0.4420448 0.4311742 0.1101865 1.7297800 2.8830 6.52 85 0.2514465 0.6097160 0.1809330 0.8473355 1.1532 4.59 90 0.0981355 0.7917675 0.2944139 0.2639160 0.3059 3.12 95 0.0204350 0.9269621 0.4735555 0.0400005 0.0420 2.05 100 0.0014925 1.0000000 0.7583915 0.0019680 0.0020 1.32 [[24]]: lx qx mx Lx Tx ex 0 1.0000000 0.0090547 0.0091310 0.9916440 77.5000 77.50 1 0.9909453 0.0010361 0.0002592 3.9612240 76.5084 77.21 5 0.9899186 0.0006281 0.0001257 4.9478830 72.5471 73.29 10 0.9892968 0.0005321 0.0001064 4.9452200 67.5993 68.33 15 0.9887704 0.0009244 0.0001850 4.9416580 62.6540 63.37 20 0.9878564 0.0013515 0.0002705 4.9360780 57.7124 58.42 25 0.9865214 0.0017698 0.0003543 4.9284160 52.7763 53.50 30 0.9847754 0.0023630 0.0004731 4.9182920 47.8479 48.59 35 0.9824484 0.0035299 0.0007072 4.9039190 42.9296 43.70 40 0.9789805 0.0058329 0.0011699 4.8811980 38.0257 38.84 45 0.9732702 0.0105147 0.0021136 4.8417900 33.1445 34.05 50 0.9630365 0.0171290 0.0034542 4.7755930 28.3027 29.39 55 0.9465407 0.0282225 0.0057220 4.6685900 23.5271 24.86 60 0.9198269 0.0468027 0.0095757 4.4958140 18.8585 20.50 65 0.8767766 0.0851019 0.0177453 4.2048060 14.3627 16.38 70 0.8021612 0.1514787 0.0326713 3.7191810 10.1579 12.66 75 0.6806509 0.2607313 0.0599634 2.9595870 6.4387 9.46 80 0.5031839 0.4007406 0.1001730 2.0129800 3.4791 6.91 85 0.3015377 0.5787938 0.1666422 1.0473230 1.4661 4.86 90 0.1270095 0.7677552 0.2746802 0.3550028 0.4188 3.30 95 0.0294973 0.9150082 0.4472665 0.0603449 0.0638 2.16 100 0.0025070 1.0000000 0.7249647 0.0034581 0.0035 1.38 [[25]]: lx qx mx Lx Tx ex 0 1.0000000 0.0044534 0.0044721 0.9958287 80.0000 80.00 1 0.9955466 0.0003249 0.0000812 3.9813830 79.0042 79.36 5 0.9952231 0.0002375 0.0000475 4.9754660 75.0228 75.38 10 0.9949868 0.0002073 0.0000415 4.9744390 70.0473 70.40 15 0.9947805 0.0003780 0.0000756 4.9730000 65.0729 65.41 20 0.9944045 0.0005700 0.0001140 4.9706620 60.0999 60.44 25 0.9938377 0.0007780 0.0001557 4.9673330 55.1292 55.47 30 0.9930645 0.0010928 0.0002187 4.9627180 50.1619 50.51 35 0.9919792 0.0017762 0.0003555 4.9556670 45.1992 45.56 40 0.9902173 0.0032824 0.0006575 4.9432850 40.2435 40.64 45 0.9869670 0.0066976 0.0013438 4.9189700 35.3002 35.77 50 0.9803566 0.0115473 0.0023223 4.8746140 30.3812 30.99 55 0.9690361 0.0201836 0.0040762 4.7982400 25.5066 26.32 60 0.9494775 0.0346289 0.0070428 4.6684770 20.7084 21.81 65 0.9165981 0.0674319 0.0139375 4.4346510 16.0399 17.50 70 0.8547902 0.1264473 0.0269236 4.0145450 11.6053 13.58 75 0.7467043 0.2293190 0.0518036 3.3054380 7.5907 10.17 80 0.5754707 0.3625649 0.0882698 2.3637250 4.2853 7.45 85 0.3668253 0.5385540 0.1494690 1.3217130 1.9216 5.24 90 0.1692701 0.7350699 0.2507598 0.4961933 0.5998 3.54 95 0.0448447 0.8978510 0.4152662 0.0969592 0.1037 2.31 100 0.0045808 1.0000000 0.6845277 0.0066920 0.0067 1.46