tablice statystyczne test F

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Badania rynkowe











































Faktury VAT
























































































Rozkład F











































alfa: 0.05












































































































r1




















































r2 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 200 300 400 500 600 700 800 900 1000 10000
1 161.4476 199.5000 215.7073 224.5832 230.1619 233.9860 236.7684 238.8827 240.5433 241.8817 242.9835 243.9060 244.6898 245.3640 245.9499 246.4639 246.9184 247.3232 247.6861 248.0131 248.3094 248.5791 248.8256 249.0518 249.2601 249.4525 249.6309 249.7966 249.9510 250.0951 250.6934 251.1432 251.4935 251.7742 252.0040 252.1957 252.3581 252.4973 252.6180 252.7237 252.8170 252.9000 252.9742 253.0411 253.6770 253.8893 253.9955 254.0593 254.1018 254.1321 254.1549 254.1726 254.1868 254.3017
2 18.5128 19.0000 19.1643 19.2468 19.2964 19.3295 19.3532 19.3710 19.3848 19.3959 19.4050 19.4125 19.4189 19.4244 19.4291 19.4333 19.4370 19.4402 19.4431 19.4458 19.4481 19.4503 19.4523 19.4541 19.4558 19.4573 19.4587 19.4600 19.4613 19.4624 19.4672 19.4707 19.4735 19.4757 19.4775 19.4791 19.4803 19.4814 19.4824 19.4832 19.4840 19.4846 19.4852 19.4857 19.4907 19.4924 19.4932 19.4937 19.4941 19.4943 19.4945 19.4946 19.4947 19.4956
3 10.1280 9.5521 9.2766 9.1172 9.0135 8.9406 8.8867 8.8452 8.8123 8.7855 8.7633 8.7446 8.7287 8.7149 8.7029 8.6923 8.6829 8.6745 8.6670 8.6602 8.6540 8.6484 8.6432 8.6385 8.6341 8.6301 8.6263 8.6229 8.6196 8.6166 8.6039 8.5944 8.5870 8.5810 8.5761 8.5720 8.5685 8.5656 8.5630 8.5607 8.5587 8.5569 8.5553 8.5539 8.5402 8.5356 8.5333 8.5320 8.5311 8.5304 8.5299 8.5295 8.5292 8.5267
4 7.7086 6.9443 6.5914 6.3882 6.2561 6.1631 6.0942 6.0410 5.9988 5.9644 5.9358 5.9117 5.8911 5.8733 5.8578 5.8441 5.8320 5.8211 5.8114 5.8025 5.7945 5.7872 5.7805 5.7744 5.7687 5.7635 5.7586 5.7541 5.7498 5.7459 5.7294 5.7170 5.7073 5.6995 5.6931 5.6877 5.6832 5.6793 5.6759 5.6730 5.6704 5.6680 5.6659 5.6641 5.6461 5.6401 5.6371 5.6353 5.6341 5.6332 5.6326 5.6321 5.6317 5.6284
5 6.6079 5.7861 5.4095 5.1922 5.0503 4.9503 4.8759 4.8183 4.7725 4.7351 4.7040 4.6777 4.6552 4.6358 4.6188 4.6038 4.5904 4.5785 4.5678 4.5581 4.5493 4.5413 4.5339 4.5272 4.5209 4.5151 4.5097 4.5047 4.5001 4.4957 4.4775 4.4638 4.4530 4.4444 4.4373 4.4314 4.4263 4.4220 4.4183 4.4150 4.4121 4.4095 4.4072 4.4051 4.3851 4.3784 4.3751 4.3731 4.3717 4.3708 4.3700 4.3695 4.3690 4.3654























































6 5.9874 5.1433 4.7571 4.5337 4.3874 4.2839 4.2067 4.1468 4.0990 4.0600 4.0274 3.9999 3.9764 3.9559 3.9381 3.9223 3.9083 3.8957 3.8844 3.8742 3.8649 3.8564 3.8486 3.8415 3.8348 3.8287 3.8230 3.8177 3.8128 3.8082 3.7889 3.7743 3.7629 3.7537 3.7461 3.7398 3.7344 3.7298 3.7258 3.7223 3.7192 3.7164 3.7140 3.7117 3.6904 3.6833 3.6797 3.6775 3.6761 3.6751 3.6743 3.6737 3.6732 3.6693
7 5.5914 4.7374 4.3468 4.1203 3.9715 3.8660 3.7870 3.7257 3.6767 3.6365 3.6030 3.5747 3.5503 3.5292 3.5107 3.4944 3.4799 3.4669 3.4551 3.4445 3.4349 3.4260 3.4179 3.4105 3.4036 3.3972 3.3913 3.3858 3.3806 3.3758 3.3557 3.3404 3.3285 3.3189 3.3109 3.3043 3.2987 3.2939 3.2897 3.2860 3.2827 3.2798 3.2772 3.2749 3.2525 3.2449 3.2411 3.2389 3.2374 3.2363 3.2355 3.2348 3.2343 3.2302
8 5.3177 4.4590 4.0662 3.8379 3.6875 3.5806 3.5005 3.4381 3.3881 3.3472 3.3130 3.2839 3.2590 3.2374 3.2184 3.2016 3.1867 3.1733 3.1613 3.1503 3.1404 3.1313 3.1229 3.1152 3.1081 3.1015 3.0954 3.0897 3.0844 3.0794 3.0586 3.0428 3.0304 3.0204 3.0122 3.0053 2.9995 2.9944 2.9901 2.9862 2.9828 2.9798 2.9771 2.9747 2.9513 2.9434 2.9395 2.9371 2.9355 2.9344 2.9335 2.9329 2.9324 2.9281
9 5.1174 4.2565 3.8625 3.6331 3.4817 3.3738 3.2927 3.2296 3.1789 3.1373 3.1025 3.0729 3.0475 3.0255 3.0061 2.9890 2.9737 2.9600 2.9477 2.9365 2.9263 2.9169 2.9084 2.9005 2.8932 2.8864 2.8801 2.8743 2.8688 2.8637 2.8422 2.8259 2.8131 2.8028 2.7944 2.7872 2.7812 2.7760 2.7715 2.7675 2.7640 2.7609 2.7581 2.7556 2.7313 2.7232 2.7191 2.7166 2.7149 2.7138 2.7129 2.7122 2.7116 2.7072
10 4.9646 4.1028 3.7083 3.4780 3.3258 3.2172 3.1355 3.0717 3.0204 2.9782 2.9430 2.9130 2.8872 2.8647 2.8450 2.8276 2.8120 2.7980 2.7854 2.7740 2.7636 2.7541 2.7453 2.7372 2.7298 2.7229 2.7164 2.7104 2.7048 2.6996 2.6776 2.6609 2.6477 2.6371 2.6284 2.6211 2.6149 2.6095 2.6048 2.6008 2.5971 2.5939 2.5910 2.5884 2.5634 2.5549 2.5507 2.5481 2.5464 2.5452 2.5443 2.5436 2.5430 2.5384























































11 4.8443 3.9823 3.5874 3.3567 3.2039 3.0946 3.0123 2.9480 2.8962 2.8536 2.8179 2.7876 2.7614 2.7386 2.7186 2.7009 2.6851 2.6709 2.6581 2.6464 2.6358 2.6261 2.6172 2.6090 2.6014 2.5943 2.5877 2.5816 2.5759 2.5705 2.5480 2.5309 2.5174 2.5066 2.4976 2.4901 2.4837 2.4782 2.4734 2.4692 2.4655 2.4622 2.4592 2.4566 2.4308 2.4221 2.4177 2.4151 2.4133 2.4120 2.4111 2.4104 2.4098 2.4050
12 4.7472 3.8853 3.4903 3.2592 3.1059 2.9961 2.9134 2.8486 2.7964 2.7534 2.7173 2.6866 2.6602 2.6371 2.6169 2.5989 2.5828 2.5684 2.5554 2.5436 2.5328 2.5229 2.5139 2.5055 2.4977 2.4905 2.4838 2.4776 2.4718 2.4663 2.4433 2.4259 2.4121 2.4010 2.3919 2.3842 2.3776 2.3720 2.3671 2.3628 2.3590 2.3556 2.3525 2.3498 2.3233 2.3143 2.3098 2.3071 2.3053 2.3040 2.3030 2.3023 2.3017 2.2967
13 4.6672 3.8056 3.4105 3.1791 3.0254 2.9153 2.8321 2.7669 2.7144 2.6710 2.6347 2.6037 2.5769 2.5536 2.5331 2.5149 2.4987 2.4841 2.4709 2.4589 2.4479 2.4379 2.4287 2.4202 2.4123 2.4050 2.3982 2.3918 2.3859 2.3803 2.3570 2.3392 2.3252 2.3138 2.3045 2.2966 2.2899 2.2841 2.2791 2.2747 2.2708 2.2673 2.2642 2.2614 2.2343 2.2251 2.2204 2.2176 2.2158 2.2145 2.2135 2.2127 2.2121 2.2070
14 4.6001 3.7389 3.3439 3.1122 2.9582 2.8477 2.7642 2.6987 2.6458 2.6022 2.5655 2.5342 2.5073 2.4837 2.4630 2.4446 2.4282 2.4134 2.4000 2.3879 2.3768 2.3667 2.3573 2.3487 2.3407 2.3333 2.3264 2.3199 2.3139 2.3082 2.2845 2.2664 2.2521 2.2405 2.2310 2.2229 2.2161 2.2102 2.2051 2.2006 2.1966 2.1931 2.1899 2.1870 2.1592 2.1498 2.1451 2.1422 2.1403 2.1389 2.1379 2.1371 2.1365 2.1313
15 4.5431 3.6823 3.2874 3.0556 2.9013 2.7905 2.7066 2.6408 2.5876 2.5437 2.5068 2.4753 2.4481 2.4244 2.4034 2.3849 2.3683 2.3533 2.3398 2.3275 2.3163 2.3060 2.2966 2.2878 2.2797 2.2722 2.2652 2.2587 2.2525 2.2468 2.2227 2.2043 2.1897 2.1780 2.1683 2.1601 2.1531 2.1472 2.1419 2.1373 2.1333 2.1296 2.1264 2.1234 2.0950 2.0854 2.0806 2.0776 2.0757 2.0743 2.0732 2.0724 2.0718 2.0664























































16 4.4940 3.6337 3.2389 3.0069 2.8524 2.7413 2.6572 2.5911 2.5377 2.4935 2.4564 2.4247 2.3973 2.3733 2.3522 2.3335 2.3167 2.3016 2.2880 2.2756 2.2642 2.2538 2.2443 2.2354 2.2272 2.2196 2.2125 2.2059 2.1997 2.1938 2.1694 2.1507 2.1360 2.1240 2.1141 2.1058 2.0987 2.0926 2.0873 2.0826 2.0785 2.0748 2.0715 2.0685 2.0395 2.0296 2.0247 2.0217 2.0197 2.0183 2.0172 2.0164 2.0157 2.0102
17 4.4513 3.5915 3.1968 2.9647 2.8100 2.6987 2.6143 2.5480 2.4943 2.4499 2.4126 2.3807 2.3531 2.3290 2.3077 2.2888 2.2719 2.2567 2.2429 2.2304 2.2189 2.2084 2.1987 2.1898 2.1815 2.1738 2.1666 2.1599 2.1536 2.1477 2.1229 2.1040 2.0890 2.0769 2.0669 2.0584 2.0512 2.0450 2.0396 2.0348 2.0306 2.0268 2.0235 2.0204 1.9909 1.9808 1.9758 1.9727 1.9707 1.9692 1.9681 1.9673 1.9666 1.9610
18 4.4139 3.5546 3.1599 2.9277 2.7729 2.6613 2.5767 2.5102 2.4563 2.4117 2.3742 2.3421 2.3143 2.2900 2.2686 2.2496 2.2325 2.2172 2.2033 2.1906 2.1791 2.1685 2.1587 2.1497 2.1413 2.1335 2.1262 2.1195 2.1131 2.1071 2.0821 2.0629 2.0477 2.0354 2.0252 2.0166 2.0093 2.0030 1.9975 1.9927 1.9884 1.9846 1.9811 1.9780 1.9479 1.9377 1.9325 1.9294 1.9273 1.9258 1.9247 1.9238 1.9232 1.9175
19 4.3807 3.5219 3.1274 2.8951 2.7401 2.6283 2.5435 2.4768 2.4227 2.3779 2.3402 2.3080 2.2800 2.2556 2.2341 2.2149 2.1977 2.1823 2.1683 2.1555 2.1438 2.1331 2.1233 2.1141 2.1057 2.0978 2.0905 2.0836 2.0772 2.0712 2.0458 2.0264 2.0110 1.9986 1.9882 1.9795 1.9721 1.9657 1.9601 1.9552 1.9509 1.9470 1.9435 1.9403 1.9097 1.8993 1.8940 1.8909 1.8887 1.8872 1.8861 1.8852 1.8845 1.8787
20 4.3512 3.4928 3.0984 2.8661 2.7109 2.5990 2.5140 2.4471 2.3928 2.3479 2.3100 2.2776 2.2495 2.2250 2.2033 2.1840 2.1667 2.1511 2.1370 2.1242 2.1124 2.1016 2.0917 2.0825 2.0739 2.0660 2.0586 2.0517 2.0452 2.0391 2.0135 1.9938 1.9783 1.9656 1.9552 1.9464 1.9388 1.9323 1.9267 1.9217 1.9173 1.9133 1.9098 1.9066 1.8755 1.8648 1.8595 1.8562 1.8541 1.8525 1.8514 1.8505 1.8497 1.8438























































21 4.3248 3.4668 3.0725 2.8401 2.6848 2.5727 2.4876 2.4205 2.3660 2.3210 2.2829 2.2504 2.2222 2.1975 2.1757 2.1563 2.1389 2.1232 2.1090 2.0960 2.0842 2.0733 2.0633 2.0540 2.0454 2.0374 2.0299 2.0229 2.0164 2.0102 1.9844 1.9645 1.9488 1.9360 1.9254 1.9165 1.9089 1.9023 1.8965 1.8915 1.8870 1.8830 1.8794 1.8761 1.8446 1.8338 1.8283 1.8250 1.8228 1.8212 1.8200 1.8191 1.8184 1.8124
22 4.3009 3.4434 3.0491 2.8167 2.6613 2.5491 2.4638 2.3965 2.3419 2.2967 2.2585 2.2258 2.1975 2.1727 2.1508 2.1313 2.1138 2.0980 2.0837 2.0707 2.0587 2.0478 2.0377 2.0283 2.0196 2.0116 2.0040 1.9970 1.9904 1.9842 1.9581 1.9380 1.9221 1.9092 1.8985 1.8894 1.8817 1.8751 1.8692 1.8641 1.8596 1.8555 1.8519 1.8486 1.8165 1.8055 1.8000 1.7966 1.7944 1.7928 1.7916 1.7907 1.7899 1.7838
23 4.2793 3.4221 3.0280 2.7955 2.6400 2.5277 2.4422 2.3748 2.3201 2.2747 2.2364 2.2036 2.1752 2.1502 2.1282 2.1086 2.0910 2.0751 2.0608 2.0476 2.0356 2.0246 2.0144 2.0050 1.9963 1.9881 1.9805 1.9734 1.9668 1.9605 1.9342 1.9139 1.8979 1.8848 1.8740 1.8648 1.8570 1.8503 1.8444 1.8392 1.8346 1.8305 1.8268 1.8234 1.7909 1.7798 1.7742 1.7708 1.7685 1.7669 1.7656 1.7647 1.7639 1.7577
24 4.2597 3.4028 3.0088 2.7763 2.6207 2.5082 2.4226 2.3551 2.3002 2.2547 2.2163 2.1834 2.1548 2.1298 2.1077 2.0880 2.0703 2.0543 2.0399 2.0267 2.0146 2.0035 1.9932 1.9838 1.9750 1.9668 1.9591 1.9520 1.9453 1.9390 1.9124 1.8920 1.8757 1.8625 1.8516 1.8424 1.8345 1.8276 1.8217 1.8164 1.8118 1.8076 1.8039 1.8005 1.7675 1.7562 1.7505 1.7470 1.7447 1.7431 1.7418 1.7409 1.7401 1.7338
25 4.2417 3.3852 2.9912 2.7587 2.6030 2.4904 2.4047 2.3371 2.2821 2.2365 2.1979 2.1649 2.1362 2.1111 2.0889 2.0691 2.0513 2.0353 2.0207 2.0075 1.9953 1.9842 1.9738 1.9643 1.9554 1.9472 1.9395 1.9323 1.9255 1.9192 1.8924 1.8718 1.8554 1.8421 1.8311 1.8217 1.8138 1.8069 1.8008 1.7955 1.7908 1.7866 1.7828 1.7794 1.7460 1.7345 1.7287 1.7252 1.7228 1.7212 1.7199 1.7189 1.7181 1.7117























































26 4.2252 3.3690 2.9752 2.7426 2.5868 2.4741 2.3883 2.3205 2.2655 2.2197 2.1811 2.1479 2.1192 2.0939 2.0716 2.0518 2.0339 2.0178 2.0032 1.9898 1.9776 1.9664 1.9560 1.9464 1.9375 1.9292 1.9215 1.9142 1.9074 1.9010 1.8740 1.8533 1.8367 1.8233 1.8121 1.8027 1.7947 1.7877 1.7816 1.7762 1.7715 1.7672 1.7634 1.7599 1.7261 1.7145 1.7086 1.7050 1.7026 1.7009 1.6996 1.6986 1.6978 1.6913
27 4.2100 3.3541 2.9604 2.7278 2.5719 2.4591 2.3732 2.3053 2.2501 2.2043 2.1655 2.1323 2.1035 2.0781 2.0558 2.0358 2.0179 2.0017 1.9870 1.9736 1.9613 1.9500 1.9396 1.9299 1.9210 1.9126 1.9048 1.8975 1.8907 1.8842 1.8571 1.8361 1.8195 1.8059 1.7947 1.7851 1.7770 1.7700 1.7638 1.7584 1.7536 1.7493 1.7454 1.7419 1.7077 1.6959 1.6899 1.6863 1.6839 1.6822 1.6809 1.6798 1.6790 1.6724
28 4.1960 3.3404 2.9467 2.7141 2.5581 2.4453 2.3593 2.2913 2.2360 2.1900 2.1512 2.1179 2.0889 2.0635 2.0411 2.0210 2.0030 1.9868 1.9720 1.9586 1.9462 1.9349 1.9244 1.9147 1.9057 1.8973 1.8894 1.8821 1.8752 1.8687 1.8414 1.8203 1.8035 1.7898 1.7785 1.7689 1.7606 1.7535 1.7473 1.7418 1.7370 1.7326 1.7287 1.7251 1.6905 1.6786 1.6726 1.6689 1.6665 1.6647 1.6634 1.6624 1.6615 1.6548
29 4.1830 3.3277 2.9340 2.7014 2.5454 2.4324 2.3463 2.2783 2.2229 2.1768 2.1379 2.1045 2.0755 2.0500 2.0275 2.0073 1.9893 1.9730 1.9581 1.9446 1.9322 1.9208 1.9103 1.9005 1.8915 1.8830 1.8751 1.8677 1.8608 1.8543 1.8268 1.8055 1.7886 1.7748 1.7634 1.7537 1.7454 1.7382 1.7320 1.7264 1.7215 1.7171 1.7132 1.7096 1.6746 1.6625 1.6564 1.6527 1.6502 1.6484 1.6471 1.6460 1.6452 1.6384
30 4.1709 3.3158 2.9223 2.6896 2.5336 2.4205 2.3343 2.2662 2.2107 2.1646 2.1256 2.0921 2.0630 2.0374 2.0148 1.9946 1.9765 1.9601 1.9452 1.9317 1.9192 1.9077 1.8972 1.8874 1.8782 1.8698 1.8618 1.8544 1.8474 1.8409 1.8132 1.7918 1.7748 1.7609 1.7493 1.7396 1.7312 1.7240 1.7176 1.7121 1.7071 1.7027 1.6987 1.6950 1.6597 1.6474 1.6412 1.6375 1.6350 1.6332 1.6318 1.6308 1.6299 1.6230























































31 4.1596 3.3048 2.9113 2.6787 2.5225 2.4094 2.3232 2.2549 2.1994 2.1532 2.1141 2.0805 2.0513 2.0257 2.0030 1.9828 1.9646 1.9481 1.9332 1.9196 1.9071 1.8956 1.8849 1.8751 1.8659 1.8574 1.8494 1.8419 1.8349 1.8283 1.8005 1.7790 1.7618 1.7478 1.7362 1.7264 1.7179 1.7106 1.7043 1.6986 1.6936 1.6891 1.6851 1.6814 1.6457 1.6333 1.6271 1.6233 1.6207 1.6189 1.6175 1.6165 1.6156 1.6086
32 4.1491 3.2945 2.9011 2.6684 2.5123 2.3991 2.3127 2.2444 2.1888 2.1425 2.1033 2.0697 2.0404 2.0147 1.9920 1.9717 1.9534 1.9369 1.9219 1.9083 1.8957 1.8842 1.8735 1.8636 1.8544 1.8458 1.8378 1.8303 1.8233 1.8166 1.7886 1.7670 1.7497 1.7356 1.7239 1.7140 1.7055 1.6981 1.6917 1.6860 1.6810 1.6764 1.6724 1.6687 1.6326 1.6201 1.6137 1.6099 1.6073 1.6055 1.6041 1.6030 1.6021 1.5951
33 4.1393 3.2849 2.8916 2.6589 2.5026 2.3894 2.3030 2.2346 2.1789 2.1325 2.0933 2.0595 2.0302 2.0045 1.9817 1.9613 1.9430 1.9264 1.9114 1.8977 1.8851 1.8735 1.8627 1.8528 1.8436 1.8350 1.8269 1.8194 1.8123 1.8056 1.7775 1.7557 1.7383 1.7241 1.7123 1.7024 1.6938 1.6864 1.6799 1.6742 1.6691 1.6645 1.6604 1.6567 1.6202 1.6076 1.6012 1.5973 1.5947 1.5928 1.5914 1.5903 1.5894 1.5823
34 4.1300 3.2759 2.8826 2.6499 2.4936 2.3803 2.2938 2.2253 2.1696 2.1231 2.0838 2.0500 2.0207 1.9949 1.9720 1.9516 1.9332 1.9166 1.9015 1.8877 1.8751 1.8634 1.8527 1.8427 1.8334 1.8248 1.8167 1.8091 1.8020 1.7953 1.7670 1.7451 1.7276 1.7134 1.7015 1.6914 1.6828 1.6753 1.6688 1.6630 1.6579 1.6533 1.6491 1.6454 1.6086 1.5958 1.5893 1.5854 1.5828 1.5809 1.5795 1.5783 1.5775 1.5702
35 4.1213 3.2674 2.8742 2.6415 2.4851 2.3718 2.2852 2.2167 2.1608 2.1143 2.0750 2.0411 2.0117 1.9858 1.9629 1.9424 1.9240 1.9073 1.8922 1.8784 1.8657 1.8540 1.8432 1.8332 1.8239 1.8152 1.8071 1.7995 1.7923 1.7856 1.7571 1.7351 1.7175 1.7032 1.6912 1.6811 1.6724 1.6649 1.6583 1.6525 1.6473 1.6427 1.6385 1.6347 1.5976 1.5847 1.5781 1.5742 1.5715 1.5696 1.5681 1.5670 1.5661 1.5588























































36 4.1132 3.2594 2.8663 2.6335 2.4772 2.3638 2.2771 2.2085 2.1526 2.1061 2.0666 2.0327 2.0032 1.9773 1.9543 1.9338 1.9153 1.8986 1.8834 1.8696 1.8568 1.8451 1.8343 1.8242 1.8149 1.8061 1.7980 1.7904 1.7832 1.7764 1.7478 1.7257 1.7080 1.6936 1.6816 1.6714 1.6626 1.6550 1.6484 1.6425 1.6373 1.6326 1.6284 1.6246 1.5872 1.5741 1.5675 1.5635 1.5608 1.5589 1.5574 1.5563 1.5554 1.5480
37 4.1055 3.2519 2.8588 2.6261 2.4696 2.3562 2.2695 2.2008 2.1449 2.0982 2.0587 2.0248 1.9952 1.9692 1.9462 1.9256 1.9071 1.8904 1.8752 1.8612 1.8485 1.8367 1.8258 1.8157 1.8064 1.7976 1.7894 1.7818 1.7745 1.7678 1.7390 1.7168 1.6990 1.6845 1.6724 1.6621 1.6534 1.6457 1.6390 1.6331 1.6279 1.6232 1.6189 1.6151 1.5773 1.5641 1.5575 1.5534 1.5507 1.5487 1.5473 1.5461 1.5452 1.5377
38 4.0982 3.2448 2.8517 2.6190 2.4625 2.3490 2.2623 2.1936 2.1375 2.0909 2.0513 2.0173 1.9877 1.9616 1.9386 1.9179 1.8994 1.8826 1.8673 1.8534 1.8406 1.8288 1.8179 1.8077 1.7983 1.7895 1.7813 1.7736 1.7664 1.7596 1.7307 1.7084 1.6905 1.6759 1.6637 1.6534 1.6446 1.6369 1.6301 1.6242 1.6189 1.6142 1.6099 1.6060 1.5679 1.5547 1.5479 1.5438 1.5410 1.5391 1.5376 1.5364 1.5355 1.5279
39 4.0913 3.2381 2.8451 2.6123 2.4558 2.3423 2.2555 2.1867 2.1306 2.0839 2.0443 2.0102 1.9805 1.9545 1.9313 1.9107 1.8921 1.8752 1.8599 1.8459 1.8331 1.8212 1.8103 1.8001 1.7907 1.7819 1.7736 1.7659 1.7586 1.7518 1.7228 1.7004 1.6824 1.6678 1.6555 1.6451 1.6362 1.6285 1.6217 1.6157 1.6104 1.6056 1.6013 1.5974 1.5590 1.5456 1.5388 1.5347 1.5319 1.5299 1.5284 1.5272 1.5263 1.5186
40 4.0847 3.2317 2.8387 2.6060 2.4495 2.3359 2.2490 2.1802 2.1240 2.0772 2.0376 2.0035 1.9738 1.9476 1.9245 1.9037 1.8851 1.8682 1.8529 1.8389 1.8260 1.8141 1.8031 1.7929 1.7835 1.7746 1.7663 1.7586 1.7513 1.7444 1.7154 1.6928 1.6748 1.6600 1.6477 1.6373 1.6283 1.6205 1.6137 1.6077 1.6023 1.5975 1.5932 1.5892 1.5505 1.5370 1.5301 1.5260 1.5232 1.5211 1.5196 1.5184 1.5175 1.5098























































41 4.0785 3.2257 2.8327 2.6000 2.4434 2.3298 2.2429 2.1740 2.1178 2.0710 2.0312 1.9971 1.9673 1.9412 1.9179 1.8972 1.8785 1.8616 1.8462 1.8321 1.8192 1.8073 1.7963 1.7861 1.7766 1.7677 1.7594 1.7516 1.7443 1.7374 1.7082 1.6856 1.6675 1.6526 1.6403 1.6298 1.6207 1.6129 1.6061 1.6000 1.5946 1.5897 1.5854 1.5814 1.5424 1.5288 1.5219 1.5176 1.5148 1.5128 1.5113 1.5101 1.5091 1.5013
42 4.0727 3.2199 2.8270 2.5943 2.4377 2.3240 2.2371 2.1681 2.1119 2.0650 2.0252 1.9910 1.9612 1.9350 1.9118 1.8910 1.8722 1.8553 1.8399 1.8258 1.8128 1.8009 1.7898 1.7796 1.7701 1.7611 1.7528 1.7450 1.7377 1.7308 1.7015 1.6787 1.6605 1.6456 1.6332 1.6226 1.6136 1.6057 1.5988 1.5927 1.5872 1.5824 1.5780 1.5740 1.5347 1.5210 1.5140 1.5097 1.5068 1.5048 1.5033 1.5021 1.5011 1.4932
43 4.0670 3.2145 2.8216 2.5888 2.4322 2.3185 2.2315 2.1625 2.1062 2.0593 2.0195 1.9852 1.9554 1.9292 1.9059 1.8850 1.8663 1.8493 1.8338 1.8197 1.8067 1.7947 1.7837 1.7734 1.7638 1.7549 1.7465 1.7387 1.7313 1.7244 1.6950 1.6722 1.6539 1.6389 1.6264 1.6158 1.6067 1.5988 1.5918 1.5857 1.5802 1.5753 1.5709 1.5669 1.5273 1.5135 1.5064 1.5021 1.4992 1.4972 1.4956 1.4944 1.4934 1.4855
44 4.0617 3.2093 2.8165 2.5837 2.4270 2.3133 2.2263 2.1572 2.1009 2.0539 2.0140 1.9797 1.9499 1.9236 1.9002 1.8794 1.8606 1.8436 1.8281 1.8139 1.8009 1.7889 1.7778 1.7675 1.7579 1.7489 1.7406 1.7327 1.7253 1.7184 1.6888 1.6659 1.6476 1.6325 1.6200 1.6093 1.6001 1.5922 1.5852 1.5790 1.5735 1.5686 1.5641 1.5601 1.5203 1.5063 1.4992 1.4948 1.4919 1.4898 1.4883 1.4870 1.4861 1.4780
45 4.0566 3.2043 2.8115 2.5787 2.4221 2.3083 2.2212 2.1521 2.0958 2.0487 2.0088 1.9745 1.9446 1.9182 1.8949 1.8740 1.8551 1.8381 1.8226 1.8084 1.7953 1.7833 1.7722 1.7618 1.7522 1.7432 1.7348 1.7270 1.7195 1.7126 1.6830 1.6599 1.6415 1.6264 1.6138 1.6031 1.5939 1.5859 1.5789 1.5726 1.5671 1.5621 1.5577 1.5536 1.5135 1.4994 1.4922 1.4879 1.4849 1.4828 1.4812 1.4800 1.4790 1.4709























































46 4.0517 3.1996 2.8068 2.5740 2.4174 2.3035 2.2164 2.1473 2.0909 2.0438 2.0039 1.9695 1.9395 1.9132 1.8898 1.8688 1.8500 1.8329 1.8173 1.8031 1.7900 1.7780 1.7668 1.7564 1.7468 1.7378 1.7294 1.7215 1.7140 1.7070 1.6773 1.6542 1.6357 1.6206 1.6079 1.5971 1.5879 1.5798 1.5728 1.5665 1.5610 1.5560 1.5515 1.5474 1.5070 1.4928 1.4856 1.4812 1.4782 1.4761 1.4745 1.4732 1.4722 1.4641
47 4.0471 3.1951 2.8024 2.5695 2.4128 2.2990 2.2118 2.1427 2.0862 2.0391 1.9991 1.9647 1.9347 1.9083 1.8849 1.8639 1.8450 1.8279 1.8123 1.7980 1.7849 1.7729 1.7617 1.7513 1.7416 1.7326 1.7241 1.7162 1.7088 1.7017 1.6719 1.6488 1.6302 1.6150 1.6022 1.5914 1.5821 1.5740 1.5669 1.5607 1.5551 1.5501 1.5455 1.5414 1.5008 1.4865 1.4792 1.4747 1.4718 1.4696 1.4680 1.4668 1.4657 1.4575
48 4.0427 3.1907 2.7981 2.5652 2.4085 2.2946 2.2074 2.1382 2.0817 2.0346 1.9946 1.9601 1.9301 1.9037 1.8802 1.8592 1.8402 1.8231 1.8075 1.7932 1.7801 1.7680 1.7568 1.7464 1.7367 1.7276 1.7191 1.7112 1.7037 1.6967 1.6668 1.6435 1.6249 1.6096 1.5968 1.5859 1.5766 1.5685 1.5614 1.5551 1.5494 1.5444 1.5398 1.5357 1.4948 1.4804 1.4730 1.4686 1.4656 1.4634 1.4618 1.4605 1.4595 1.4512
49 4.0384 3.1866 2.7939 2.5611 2.4044 2.2904 2.2032 2.1340 2.0775 2.0303 1.9902 1.9557 1.9257 1.8992 1.8757 1.8546 1.8357 1.8185 1.8029 1.7886 1.7754 1.7633 1.7521 1.7416 1.7319 1.7228 1.7143 1.7064 1.6989 1.6918 1.6618 1.6385 1.6198 1.6044 1.5916 1.5807 1.5713 1.5632 1.5560 1.5497 1.5440 1.5389 1.5344 1.5302 1.4890 1.4745 1.4671 1.4626 1.4596 1.4574 1.4558 1.4545 1.4535 1.4451
50 4.0343 3.1826 2.7900 2.5572 2.4004 2.2864 2.1992 2.1299 2.0734 2.0261 1.9861 1.9515 1.9214 1.8949 1.8714 1.8503 1.8313 1.8141 1.7985 1.7841 1.7709 1.7588 1.7475 1.7371 1.7273 1.7183 1.7097 1.7017 1.6942 1.6872 1.6571 1.6337 1.6149 1.5995 1.5866 1.5757 1.5662 1.5580 1.5508 1.5445 1.5388 1.5337 1.5291 1.5249 1.4835 1.4689 1.4614 1.4569 1.4538 1.4516 1.4500 1.4487 1.4477 1.4392























































60 4.0012 3.1504 2.7581 2.5252 2.3683 2.2541 2.1665 2.0970 2.0401 1.9926 1.9522 1.9174 1.8870 1.8602 1.8364 1.8151 1.7959 1.7784 1.7625 1.7480 1.7346 1.7222 1.7108 1.7001 1.6902 1.6809 1.6722 1.6641 1.6564 1.6491 1.6183 1.5943 1.5749 1.5590 1.5457 1.5343 1.5245 1.5160 1.5085 1.5019 1.4959 1.4906 1.4858 1.4814 1.4377 1.4222 1.4142 1.4093 1.4061 1.4037 1.4019 1.4005 1.3994 1.3903
70 3.9778 3.1277 2.7355 2.5027 2.3456 2.2312 2.1435 2.0737 2.0166 1.9689 1.9283 1.8932 1.8627 1.8357 1.8117 1.7902 1.7708 1.7531 1.7371 1.7223 1.7088 1.6962 1.6846 1.6738 1.6638 1.6543 1.6455 1.6372 1.6294 1.6220 1.5906 1.5661 1.5463 1.5300 1.5163 1.5046 1.4945 1.4857 1.4779 1.4711 1.4649 1.4594 1.4544 1.4498 1.4042 1.3879 1.3794 1.3743 1.3708 1.3683 1.3664 1.3650 1.3638 1.3540
80 3.9604 3.1108 2.7188 2.4859 2.3287 2.2142 2.1263 2.0564 1.9991 1.9512 1.9105 1.8753 1.8445 1.8174 1.7932 1.7716 1.7520 1.7342 1.7180 1.7032 1.6895 1.6768 1.6651 1.6542 1.6440 1.6345 1.6255 1.6171 1.6092 1.6017 1.5699 1.5449 1.5247 1.5081 1.4941 1.4821 1.4718 1.4628 1.4548 1.4477 1.4414 1.4357 1.4306 1.4259 1.3786 1.3615 1.3526 1.3472 1.3436 1.3409 1.3390 1.3374 1.3362 1.3259
90 3.9469 3.0977 2.7058 2.4729 2.3157 2.2011 2.1131 2.0430 1.9856 1.9376 1.8967 1.8613 1.8305 1.8032 1.7789 1.7571 1.7375 1.7196 1.7033 1.6883 1.6745 1.6618 1.6499 1.6389 1.6286 1.6190 1.6100 1.6015 1.5935 1.5859 1.5537 1.5284 1.5079 1.4910 1.4767 1.4645 1.4540 1.4448 1.4366 1.4294 1.4229 1.4171 1.4118 1.4070 1.3582 1.3405 1.3313 1.3256 1.3218 1.3190 1.3170 1.3153 1.3140 1.3032
100 3.9361 3.0873 2.6955 2.4626 2.3053 2.1906 2.1025 2.0323 1.9748 1.9267 1.8857 1.8503 1.8193 1.7919 1.7675 1.7456 1.7259 1.7079 1.6915 1.6764 1.6626 1.6497 1.6378 1.6267 1.6163 1.6067 1.5976 1.5890 1.5809 1.5733 1.5407 1.5151 1.4944 1.4772 1.4628 1.4504 1.4397 1.4303 1.4220 1.4146 1.4080 1.4020 1.3966 1.3917 1.3416 1.3233 1.3138 1.3079 1.3039 1.3010 1.2989 1.2972 1.2958 1.2845























































200 3.8884 3.0411 2.6498 2.4168 2.2592 2.1441 2.0556 1.9849 1.9269 1.8783 1.8368 1.8008 1.7694 1.7415 1.7166 1.6943 1.6741 1.6556 1.6388 1.6233 1.6090 1.5958 1.5834 1.5720 1.5612 1.5511 1.5417 1.5328 1.5243 1.5164 1.4822 1.4551 1.4330 1.4146 1.3990 1.3856 1.3739 1.3636 1.3545 1.3463 1.3389 1.3323 1.3262 1.3206 1.2626 1.2404 1.2285 1.2211 1.2160 1.2123 1.2094 1.2072 1.2054 1.1903
300 3.8726 3.0258 2.6347 2.4017 2.2441 2.1289 2.0402 1.9693 1.9112 1.8623 1.8206 1.7845 1.7529 1.7249 1.6998 1.6773 1.6569 1.6383 1.6213 1.6057 1.5912 1.5778 1.5654 1.5537 1.5428 1.5326 1.5230 1.5140 1.5054 1.4973 1.4625 1.4349 1.4123 1.3934 1.3773 1.3634 1.3513 1.3407 1.3312 1.3226 1.3150 1.3080 1.3016 1.2958 1.2339 1.2095 1.1963 1.1879 1.1821 1.1779 1.1746 1.1721 1.1700 1.1521
400 3.8648 3.0183 2.6272 2.3942 2.2366 2.1212 2.0325 1.9616 1.9033 1.8544 1.8126 1.7764 1.7447 1.7166 1.6914 1.6688 1.6484 1.6297 1.6126 1.5969 1.5823 1.5689 1.5563 1.5446 1.5337 1.5234 1.5137 1.5046 1.4960 1.4878 1.4527 1.4247 1.4018 1.3827 1.3663 1.3522 1.3399 1.3290 1.3193 1.3106 1.3027 1.2956 1.2891 1.2831 1.2189 1.1932 1.1790 1.1700 1.1637 1.1591 1.1555 1.1527 1.1504 1.1303
500 3.8601 3.0138 2.6227 2.3898 2.2320 2.1167 2.0279 1.9569 1.8986 1.8496 1.8078 1.7715 1.7398 1.7116 1.6864 1.6638 1.6432 1.6245 1.6074 1.5916 1.5770 1.5635 1.5509 1.5392 1.5282 1.5178 1.5081 1.4989 1.4903 1.4821 1.4467 1.4186 1.3955 1.3762 1.3597 1.3455 1.3330 1.3220 1.3122 1.3033 1.2953 1.2881 1.2814 1.2753 1.2096 1.1829 1.1682 1.1587 1.1520 1.1471 1.1433 1.1402 1.1378 1.1159
600 3.8570 3.0107 2.6198 2.3868 2.2290 2.1137 2.0248 1.9538 1.8955 1.8465 1.8046 1.7683 1.7365 1.7083 1.6831 1.6604 1.6398 1.6211 1.6039 1.5881 1.5735 1.5599 1.5473 1.5355 1.5245 1.5141 1.5044 1.4952 1.4865 1.4782 1.4428 1.4145 1.3913 1.3719 1.3553 1.3409 1.3284 1.3173 1.3073 1.2984 1.2904 1.2830 1.2763 1.2701 1.2033 1.1760 1.1607 1.1508 1.1439 1.1387 1.1347 1.1315 1.1289 1.1055























































700 3.8548 3.0086 2.6176 2.3847 2.2269 2.1115 2.0226 1.9516 1.8932 1.8442 1.8023 1.7660 1.7341 1.7059 1.6807 1.6580 1.6374 1.6186 1.6014 1.5856 1.5709 1.5574 1.5447 1.5329 1.5219 1.5115 1.5017 1.4925 1.4838 1.4755 1.4399 1.4116 1.3883 1.3688 1.3521 1.3377 1.3251 1.3139 1.3039 1.2949 1.2868 1.2794 1.2726 1.2664 1.1987 1.1709 1.1552 1.1450 1.1378 1.1325 1.1283 1.1250 1.1223 1.0976
800 3.8531 3.0070 2.6160 2.3831 2.2253 2.1099 2.0210 1.9500 1.8916 1.8425 1.8006 1.7643 1.7324 1.7041 1.6789 1.6562 1.6356 1.6168 1.5995 1.5837 1.5690 1.5554 1.5428 1.5310 1.5199 1.5095 1.4997 1.4905 1.4817 1.4735 1.4378 1.4094 1.3860 1.3665 1.3497 1.3353 1.3226 1.3113 1.3013 1.2923 1.2841 1.2766 1.2698 1.2635 1.1953 1.1670 1.1510 1.1406 1.1332 1.1277 1.1234 1.1200 1.1172 1.0912
900 3.8518 3.0057 2.6148 2.3818 2.2240 2.1086 2.0197 1.9487 1.8903 1.8412 1.7993 1.7629 1.7310 1.7028 1.6775 1.6548 1.6341 1.6153 1.5981 1.5822 1.5676 1.5540 1.5413 1.5294 1.5184 1.5079 1.4981 1.4889 1.4802 1.4719 1.4362 1.4077 1.3843 1.3647 1.3479 1.3334 1.3206 1.3093 1.2993 1.2902 1.2820 1.2745 1.2676 1.2613 1.1925 1.1639 1.1477 1.1371 1.1295 1.1239 1.1195 1.1160 1.1131 1.0861
1000 3.8508 3.0047 2.6138 2.3808 2.2231 2.1076 2.0187 1.9476 1.8892 1.8402 1.7982 1.7618 1.7299 1.7017 1.6764 1.6536 1.6330 1.6142 1.5969 1.5811 1.5664 1.5528 1.5401 1.5282 1.5171 1.5067 1.4969 1.4876 1.4789 1.4706 1.4348 1.4063 1.3829 1.3632 1.3464 1.3318 1.3191 1.3078 1.2976 1.2885 1.2803 1.2728 1.2659 1.2596 1.1903 1.1614 1.1450 1.1342 1.1265 1.1208 1.1163 1.1127 1.1097 1.0818
10000 3.8424 2.9966 2.6058 2.3728 2.2150 2.0995 2.0105 1.9393 1.8808 1.8316 1.7896 1.7531 1.7211 1.6928 1.6674 1.6445 1.6238 1.6049 1.5875 1.5716 1.5568 1.5431 1.5303 1.5184 1.5072 1.4967 1.4868 1.4775 1.4686 1.4602 1.4241 1.3952 1.3714 1.3514 1.3343 1.3194 1.3064 1.2948 1.2844 1.2750 1.2665 1.2587 1.2516 1.2451 1.1721 1.1404 1.1218 1.1093 1.1001 1.0930 1.0873 1.0826 1.0787 1.0334

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