R Under development (unstable) (2024-01-12 r85803 ucrt) -- "Unsuffered Consequences" Copyright (C) 2024 The R Foundation for Statistical Computing Platform: x86_64-w64-mingw32/x64 R is free software and comes with ABSOLUTELY NO WARRANTY. You are welcome to redistribute it under certain conditions. Type 'license()' or 'licence()' for distribution details. R is a collaborative project with many contributors. Type 'contributors()' for more information and 'citation()' on how to cite R or R packages in publications. Type 'demo()' for some demos, 'help()' for on-line help, or 'help.start()' for an HTML browser interface to help. Type 'q()' to quit R. > options(warn=1) > library("compositions") Welcome to compositions, a package for compositional data analysis. Find an intro with "? compositions" Attaching package: 'compositions' The following objects are masked from 'package:stats': anova, cor, cov, dist, var The following object is masked from 'package:graphics': segments The following objects are masked from 'package:base': %*%, norm, scale, scale.default > > #js <- read.table("juraset.dat",skip=17,header=TRUE) > #js$Land <- factor( c("Wald","Weide","Wiese","Acker")[js$Land] ) > #js$Rock <- factor( c("Argovian","Kimmeridgian","Sequanian","Portlandian","Quaternary")[js$Rock] ) > > #Rock <- js$Rock > #Land <- js$Land > > #cdata <- js[,c("Cd","Cu","Pb","Co","Cr","Ni","Zn")] > #cdata <- data.matrix(js[,c("Cd","Cu","Pb","Co","Cr","Ni","Zn")]) > > #cd1 <- cdata[,1:3] > #cd2 <- cdata[,4:7] > data(SimulatedAmounts) > cdata <- sa.groups5 > Land <- sa.groups5.area > cd1 <- cdata[,1:3] > cd2 <- cdata[,4:5] > > # Transformations > # clo > clo(c(1,2,3)) [1] 0.1666667 0.3333333 0.5000000 > clo(matrix(1:4,ncol=2)) [,1] [,2] [1,] 0.2500000 0.7500000 [2,] 0.3333333 0.6666667 > data(iris) > clo(iris[,1:4]) Sepal.Length Sepal.Width Petal.Length Petal.Width [1,] 0.5000000 0.3431373 0.1372549 0.019607843 [2,] 0.5157895 0.3157895 0.1473684 0.021052632 [3,] 0.5000000 0.3404255 0.1382979 0.021276596 [4,] 0.4893617 0.3297872 0.1595745 0.021276596 [5,] 0.4901961 0.3529412 0.1372549 0.019607843 [6,] 0.4736842 0.3421053 0.1491228 0.035087719 [7,] 0.4742268 0.3505155 0.1443299 0.030927835 [8,] 0.4950495 0.3366337 0.1485149 0.019801980 [9,] 0.4943820 0.3258427 0.1573034 0.022471910 [10,] 0.5104167 0.3229167 0.1562500 0.010416667 [11,] 0.5000000 0.3425926 0.1388889 0.018518519 [12,] 0.4800000 0.3400000 0.1600000 0.020000000 [13,] 0.5161290 0.3225806 0.1505376 0.010752688 [14,] 0.5058824 0.3529412 0.1294118 0.011764706 [15,] 0.5178571 0.3571429 0.1071429 0.017857143 [16,] 0.4750000 0.3666667 0.1250000 0.033333333 [17,] 0.4909091 0.3545455 0.1181818 0.036363636 [18,] 0.4951456 0.3398058 0.1359223 0.029126214 [19,] 0.4956522 0.3304348 0.1478261 0.026086957 [20,] 0.4766355 0.3551402 0.1401869 0.028037383 [21,] 0.5046729 0.3177570 0.1588785 0.018691589 [22,] 0.4766355 0.3457944 0.1401869 0.037383178 [23,] 0.4893617 0.3829787 0.1063830 0.021276596 [24,] 0.4811321 0.3113208 0.1603774 0.047169811 [25,] 0.4660194 0.3300971 0.1844660 0.019417476 [26,] 0.5102041 0.3061224 0.1632653 0.020408163 [27,] 0.4807692 0.3269231 0.1538462 0.038461538 [28,] 0.5000000 0.3365385 0.1442308 0.019230769 [29,] 0.5098039 0.3333333 0.1372549 0.019607843 [30,] 0.4845361 0.3298969 0.1649485 0.020618557 [31,] 0.4948454 0.3195876 0.1649485 0.020618557 [32,] 0.5046729 0.3177570 0.1401869 0.037383178 [33,] 0.4770642 0.3761468 0.1376147 0.009174312 [34,] 0.4867257 0.3716814 0.1238938 0.017699115 [35,] 0.5051546 0.3195876 0.1546392 0.020618557 [36,] 0.5208333 0.3333333 0.1250000 0.020833333 [37,] 0.5238095 0.3333333 0.1238095 0.019047619 [38,] 0.4900000 0.3600000 0.1400000 0.010000000 [39,] 0.4943820 0.3370787 0.1460674 0.022471910 [40,] 0.5000000 0.3333333 0.1470588 0.019607843 [41,] 0.4950495 0.3465347 0.1287129 0.029702970 [42,] 0.5357143 0.2738095 0.1547619 0.035714286 [43,] 0.4835165 0.3516484 0.1428571 0.021978022 [44,] 0.4672897 0.3271028 0.1495327 0.056074766 [45,] 0.4553571 0.3392857 0.1696429 0.035714286 [46,] 0.5052632 0.3157895 0.1473684 0.031578947 [47,] 0.4766355 0.3551402 0.1495327 0.018691589 [48,] 0.4893617 0.3404255 0.1489362 0.021276596 [49,] 0.4953271 0.3457944 0.1401869 0.018691589 [50,] 0.5050505 0.3333333 0.1414141 0.020202020 [51,] 0.4294479 0.1963190 0.2883436 0.085889571 [52,] 0.4102564 0.2051282 0.2884615 0.096153846 [53,] 0.4207317 0.1890244 0.2987805 0.091463415 [54,] 0.4198473 0.1755725 0.3053435 0.099236641 [55,] 0.4220779 0.1818182 0.2987013 0.097402597 [56,] 0.3986014 0.1958042 0.3146853 0.090909091 [57,] 0.3962264 0.2075472 0.2955975 0.100628931 [58,] 0.4224138 0.2068966 0.2844828 0.086206897 [59,] 0.4285714 0.1883117 0.2987013 0.084415584 [60,] 0.3939394 0.2045455 0.2954545 0.106060606 [61,] 0.4347826 0.1739130 0.3043478 0.086956522 [62,] 0.4041096 0.2054795 0.2876712 0.102739726 [63,] 0.4545455 0.1666667 0.3030303 0.075757576 [64,] 0.4039735 0.1920530 0.3112583 0.092715232 [65,] 0.4179104 0.2164179 0.2686567 0.097014925 [66,] 0.4294872 0.1987179 0.2820513 0.089743590 [67,] 0.3835616 0.2054795 0.3082192 0.102739726 [68,] 0.4264706 0.1985294 0.3014706 0.073529412 [69,] 0.4305556 0.1527778 0.3125000 0.104166667 [70,] 0.4274809 0.1908397 0.2977099 0.083969466 [71,] 0.3757962 0.2038217 0.3057325 0.114649682 [72,] 0.4295775 0.1971831 0.2816901 0.091549296 [73,] 0.4144737 0.1644737 0.3223684 0.098684211 [74,] 0.4121622 0.1891892 0.3175676 0.081081081 [75,] 0.4295302 0.1946309 0.2885906 0.087248322 [76,] 0.4285714 0.1948052 0.2857143 0.090909091 [77,] 0.4303797 0.1772152 0.3037975 0.088607595 [78,] 0.4085366 0.1829268 0.3048780 0.103658537 [79,] 0.4026846 0.1946309 0.3020134 0.100671141 [80,] 0.4453125 0.2031250 0.2734375 0.078125000 [81,] 0.4296875 0.1875000 0.2968750 0.085937500 [82,] 0.4365079 0.1904762 0.2936508 0.079365079 [83,] 0.4264706 0.1985294 0.2867647 0.088235294 [84,] 0.3896104 0.1753247 0.3311688 0.103896104 [85,] 0.3750000 0.2083333 0.3125000 0.104166667 [86,] 0.3870968 0.2193548 0.2903226 0.103225806 [87,] 0.4187500 0.1937500 0.2937500 0.093750000 [88,] 0.4405594 0.1608392 0.3076923 0.090909091 [89,] 0.4000000 0.2142857 0.2928571 0.092857143 [90,] 0.4135338 0.1879699 0.3007519 0.097744361 [91,] 0.4014599 0.1897810 0.3211679 0.087591241 [92,] 0.4039735 0.1986755 0.3046358 0.092715232 [93,] 0.4264706 0.1911765 0.2941176 0.088235294 [94,] 0.4310345 0.1982759 0.2844828 0.086206897 [95,] 0.4057971 0.1956522 0.3043478 0.094202899 [96,] 0.4042553 0.2127660 0.2978723 0.085106383 [97,] 0.4042553 0.2056738 0.2978723 0.092198582 [98,] 0.4217687 0.1972789 0.2925170 0.088435374 [99,] 0.4358974 0.2136752 0.2564103 0.094017094 [100,] 0.4100719 0.2014388 0.2949640 0.093525180 [101,] 0.3480663 0.1823204 0.3314917 0.138121547 [102,] 0.3741935 0.1741935 0.3290323 0.122580645 [103,] 0.3922652 0.1657459 0.3259669 0.116022099 [104,] 0.3795181 0.1746988 0.3373494 0.108433735 [105,] 0.3714286 0.1714286 0.3314286 0.125714286 [106,] 0.3937824 0.1554404 0.3419689 0.108808290 [107,] 0.3602941 0.1838235 0.3308824 0.125000000 [108,] 0.3989071 0.1584699 0.3442623 0.098360656 [109,] 0.3988095 0.1488095 0.3452381 0.107142857 [110,] 0.3711340 0.1855670 0.3144330 0.128865979 [111,] 0.3869048 0.1904762 0.3035714 0.119047619 [112,] 0.3926380 0.1656442 0.3251534 0.116564417 [113,] 0.3908046 0.1724138 0.3160920 0.120689655 [114,] 0.3750000 0.1644737 0.3289474 0.131578947 [115,] 0.3602484 0.1739130 0.3167702 0.149068323 [116,] 0.3720930 0.1860465 0.3081395 0.133720930 [117,] 0.3869048 0.1785714 0.3273810 0.107142857 [118,] 0.3774510 0.1862745 0.3284314 0.107843137 [119,] 0.3948718 0.1333333 0.3538462 0.117948718 [120,] 0.4081633 0.1496599 0.3401361 0.102040816 [121,] 0.3812155 0.1767956 0.3149171 0.127071823 [122,] 0.3660131 0.1830065 0.3202614 0.130718954 [123,] 0.4010417 0.1458333 0.3489583 0.104166667 [124,] 0.4012739 0.1719745 0.3121019 0.114649682 [125,] 0.3764045 0.1853933 0.3202247 0.117977528 [126,] 0.3956044 0.1758242 0.3296703 0.098901099 [127,] 0.3974359 0.1794872 0.3076923 0.115384615 [128,] 0.3860759 0.1898734 0.3101266 0.113924051 [129,] 0.3786982 0.1656805 0.3313609 0.124260355 [130,] 0.4090909 0.1704545 0.3295455 0.090909091 [131,] 0.4065934 0.1538462 0.3351648 0.104395604 [132,] 0.3930348 0.1890547 0.3184080 0.099502488 [133,] 0.3764706 0.1647059 0.3294118 0.129411765 [134,] 0.4012739 0.1783439 0.3248408 0.095541401 [135,] 0.3885350 0.1656051 0.3566879 0.089171975 [136,] 0.4031414 0.1570681 0.3193717 0.120418848 [137,] 0.3559322 0.1920904 0.3163842 0.135593220 [138,] 0.3809524 0.1845238 0.3273810 0.107142857 [139,] 0.3846154 0.1923077 0.3076923 0.115384615 [140,] 0.3942857 0.1771429 0.3085714 0.120000000 [141,] 0.3764045 0.1741573 0.3146067 0.134831461 [142,] 0.3965517 0.1781609 0.2931034 0.132183908 [143,] 0.3741935 0.1741935 0.3290323 0.122580645 [144,] 0.3736264 0.1758242 0.3241758 0.126373626 [145,] 0.3681319 0.1813187 0.3131868 0.137362637 [146,] 0.3895349 0.1744186 0.3023256 0.133720930 [147,] 0.4012739 0.1592357 0.3184713 0.121019108 [148,] 0.3892216 0.1796407 0.3113772 0.119760479 [149,] 0.3583815 0.1965318 0.3121387 0.132947977 [150,] 0.3734177 0.1898734 0.3227848 0.113924051 > clo(0.5) [1] 1 > clo(matrix(0.5)) [,1] [1,] 1 > clo(matrix(0.5,nrow=5)) [,1] [1,] 1 [2,] 1 [3,] 1 [4,] 1 [5,] 1 > clo(matrix(0.5,ncol=5)) [,1] [,2] [,3] [,4] [,5] [1,] 0.2 0.2 0.2 0.2 0.2 > > clo(iris,c("Sepal.Length","Petal.Length")) Sepal.Length Petal.Length [1,] 0.7846154 0.2153846 [2,] 0.7777778 0.2222222 [3,] 0.7833333 0.2166667 [4,] 0.7540984 0.2459016 [5,] 0.7812500 0.2187500 [6,] 0.7605634 0.2394366 [7,] 0.7666667 0.2333333 [8,] 0.7692308 0.2307692 [9,] 0.7586207 0.2413793 [10,] 0.7656250 0.2343750 [11,] 0.7826087 0.2173913 [12,] 0.7500000 0.2500000 [13,] 0.7741935 0.2258065 [14,] 0.7962963 0.2037037 [15,] 0.8285714 0.1714286 [16,] 0.7916667 0.2083333 [17,] 0.8059701 0.1940299 [18,] 0.7846154 0.2153846 [19,] 0.7702703 0.2297297 [20,] 0.7727273 0.2272727 [21,] 0.7605634 0.2394366 [22,] 0.7727273 0.2272727 [23,] 0.8214286 0.1785714 [24,] 0.7500000 0.2500000 [25,] 0.7164179 0.2835821 [26,] 0.7575758 0.2424242 [27,] 0.7575758 0.2424242 [28,] 0.7761194 0.2238806 [29,] 0.7878788 0.2121212 [30,] 0.7460317 0.2539683 [31,] 0.7500000 0.2500000 [32,] 0.7826087 0.2173913 [33,] 0.7761194 0.2238806 [34,] 0.7971014 0.2028986 [35,] 0.7656250 0.2343750 [36,] 0.8064516 0.1935484 [37,] 0.8088235 0.1911765 [38,] 0.7777778 0.2222222 [39,] 0.7719298 0.2280702 [40,] 0.7727273 0.2272727 [41,] 0.7936508 0.2063492 [42,] 0.7758621 0.2241379 [43,] 0.7719298 0.2280702 [44,] 0.7575758 0.2424242 [45,] 0.7285714 0.2714286 [46,] 0.7741935 0.2258065 [47,] 0.7611940 0.2388060 [48,] 0.7666667 0.2333333 [49,] 0.7794118 0.2205882 [50,] 0.7812500 0.2187500 [51,] 0.5982906 0.4017094 [52,] 0.5871560 0.4128440 [53,] 0.5847458 0.4152542 [54,] 0.5789474 0.4210526 [55,] 0.5855856 0.4144144 [56,] 0.5588235 0.4411765 [57,] 0.5727273 0.4272727 [58,] 0.5975610 0.4024390 [59,] 0.5892857 0.4107143 [60,] 0.5714286 0.4285714 [61,] 0.5882353 0.4117647 [62,] 0.5841584 0.4158416 [63,] 0.6000000 0.4000000 [64,] 0.5648148 0.4351852 [65,] 0.6086957 0.3913043 [66,] 0.6036036 0.3963964 [67,] 0.5544554 0.4455446 [68,] 0.5858586 0.4141414 [69,] 0.5794393 0.4205607 [70,] 0.5894737 0.4105263 [71,] 0.5514019 0.4485981 [72,] 0.6039604 0.3960396 [73,] 0.5625000 0.4375000 [74,] 0.5648148 0.4351852 [75,] 0.5981308 0.4018692 [76,] 0.6000000 0.4000000 [77,] 0.5862069 0.4137931 [78,] 0.5726496 0.4273504 [79,] 0.5714286 0.4285714 [80,] 0.6195652 0.3804348 [81,] 0.5913978 0.4086022 [82,] 0.5978261 0.4021739 [83,] 0.5979381 0.4020619 [84,] 0.5405405 0.4594595 [85,] 0.5454545 0.4545455 [86,] 0.5714286 0.4285714 [87,] 0.5877193 0.4122807 [88,] 0.5887850 0.4112150 [89,] 0.5773196 0.4226804 [90,] 0.5789474 0.4210526 [91,] 0.5555556 0.4444444 [92,] 0.5700935 0.4299065 [93,] 0.5918367 0.4081633 [94,] 0.6024096 0.3975904 [95,] 0.5714286 0.4285714 [96,] 0.5757576 0.4242424 [97,] 0.5757576 0.4242424 [98,] 0.5904762 0.4095238 [99,] 0.6296296 0.3703704 [100,] 0.5816327 0.4183673 [101,] 0.5121951 0.4878049 [102,] 0.5321101 0.4678899 [103,] 0.5461538 0.4538462 [104,] 0.5294118 0.4705882 [105,] 0.5284553 0.4715447 [106,] 0.5352113 0.4647887 [107,] 0.5212766 0.4787234 [108,] 0.5367647 0.4632353 [109,] 0.5360000 0.4640000 [110,] 0.5413534 0.4586466 [111,] 0.5603448 0.4396552 [112,] 0.5470085 0.4529915 [113,] 0.5528455 0.4471545 [114,] 0.5327103 0.4672897 [115,] 0.5321101 0.4678899 [116,] 0.5470085 0.4529915 [117,] 0.5416667 0.4583333 [118,] 0.5347222 0.4652778 [119,] 0.5273973 0.4726027 [120,] 0.5454545 0.4545455 [121,] 0.5476190 0.4523810 [122,] 0.5333333 0.4666667 [123,] 0.5347222 0.4652778 [124,] 0.5625000 0.4375000 [125,] 0.5403226 0.4596774 [126,] 0.5454545 0.4545455 [127,] 0.5636364 0.4363636 [128,] 0.5545455 0.4454545 [129,] 0.5333333 0.4666667 [130,] 0.5538462 0.4461538 [131,] 0.5481481 0.4518519 [132,] 0.5524476 0.4475524 [133,] 0.5333333 0.4666667 [134,] 0.5526316 0.4473684 [135,] 0.5213675 0.4786325 [136,] 0.5579710 0.4420290 [137,] 0.5294118 0.4705882 [138,] 0.5378151 0.4621849 [139,] 0.5555556 0.4444444 [140,] 0.5609756 0.4390244 [141,] 0.5447154 0.4552846 [142,] 0.5750000 0.4250000 [143,] 0.5321101 0.4678899 [144,] 0.5354331 0.4645669 [145,] 0.5403226 0.4596774 [146,] 0.5630252 0.4369748 [147,] 0.5575221 0.4424779 [148,] 0.5555556 0.4444444 [149,] 0.5344828 0.4655172 [150,] 0.5363636 0.4636364 > clo(iris,c(2,3)) Sepal.Width Petal.Length [1,] 0.7142857 0.2857143 [2,] 0.6818182 0.3181818 [3,] 0.7111111 0.2888889 [4,] 0.6739130 0.3260870 [5,] 0.7200000 0.2800000 [6,] 0.6964286 0.3035714 [7,] 0.7083333 0.2916667 [8,] 0.6938776 0.3061224 [9,] 0.6744186 0.3255814 [10,] 0.6739130 0.3260870 [11,] 0.7115385 0.2884615 [12,] 0.6800000 0.3200000 [13,] 0.6818182 0.3181818 [14,] 0.7317073 0.2682927 [15,] 0.7692308 0.2307692 [16,] 0.7457627 0.2542373 [17,] 0.7500000 0.2500000 [18,] 0.7142857 0.2857143 [19,] 0.6909091 0.3090909 [20,] 0.7169811 0.2830189 [21,] 0.6666667 0.3333333 [22,] 0.7115385 0.2884615 [23,] 0.7826087 0.2173913 [24,] 0.6600000 0.3400000 [25,] 0.6415094 0.3584906 [26,] 0.6521739 0.3478261 [27,] 0.6800000 0.3200000 [28,] 0.7000000 0.3000000 [29,] 0.7083333 0.2916667 [30,] 0.6666667 0.3333333 [31,] 0.6595745 0.3404255 [32,] 0.6938776 0.3061224 [33,] 0.7321429 0.2678571 [34,] 0.7500000 0.2500000 [35,] 0.6739130 0.3260870 [36,] 0.7272727 0.2727273 [37,] 0.7291667 0.2708333 [38,] 0.7200000 0.2800000 [39,] 0.6976744 0.3023256 [40,] 0.6938776 0.3061224 [41,] 0.7291667 0.2708333 [42,] 0.6388889 0.3611111 [43,] 0.7111111 0.2888889 [44,] 0.6862745 0.3137255 [45,] 0.6666667 0.3333333 [46,] 0.6818182 0.3181818 [47,] 0.7037037 0.2962963 [48,] 0.6956522 0.3043478 [49,] 0.7115385 0.2884615 [50,] 0.7021277 0.2978723 [51,] 0.4050633 0.5949367 [52,] 0.4155844 0.5844156 [53,] 0.3875000 0.6125000 [54,] 0.3650794 0.6349206 [55,] 0.3783784 0.6216216 [56,] 0.3835616 0.6164384 [57,] 0.4125000 0.5875000 [58,] 0.4210526 0.5789474 [59,] 0.3866667 0.6133333 [60,] 0.4090909 0.5909091 [61,] 0.3636364 0.6363636 [62,] 0.4166667 0.5833333 [63,] 0.3548387 0.6451613 [64,] 0.3815789 0.6184211 [65,] 0.4461538 0.5538462 [66,] 0.4133333 0.5866667 [67,] 0.4000000 0.6000000 [68,] 0.3970588 0.6029412 [69,] 0.3283582 0.6716418 [70,] 0.3906250 0.6093750 [71,] 0.4000000 0.6000000 [72,] 0.4117647 0.5882353 [73,] 0.3378378 0.6621622 [74,] 0.3733333 0.6266667 [75,] 0.4027778 0.5972222 [76,] 0.4054054 0.5945946 [77,] 0.3684211 0.6315789 [78,] 0.3750000 0.6250000 [79,] 0.3918919 0.6081081 [80,] 0.4262295 0.5737705 [81,] 0.3870968 0.6129032 [82,] 0.3934426 0.6065574 [83,] 0.4090909 0.5909091 [84,] 0.3461538 0.6538462 [85,] 0.4000000 0.6000000 [86,] 0.4303797 0.5696203 [87,] 0.3974359 0.6025641 [88,] 0.3432836 0.6567164 [89,] 0.4225352 0.5774648 [90,] 0.3846154 0.6153846 [91,] 0.3714286 0.6285714 [92,] 0.3947368 0.6052632 [93,] 0.3939394 0.6060606 [94,] 0.4107143 0.5892857 [95,] 0.3913043 0.6086957 [96,] 0.4166667 0.5833333 [97,] 0.4084507 0.5915493 [98,] 0.4027778 0.5972222 [99,] 0.4545455 0.5454545 [100,] 0.4057971 0.5942029 [101,] 0.3548387 0.6451613 [102,] 0.3461538 0.6538462 [103,] 0.3370787 0.6629213 [104,] 0.3411765 0.6588235 [105,] 0.3409091 0.6590909 [106,] 0.3125000 0.6875000 [107,] 0.3571429 0.6428571 [108,] 0.3152174 0.6847826 [109,] 0.3012048 0.6987952 [110,] 0.3711340 0.6288660 [111,] 0.3855422 0.6144578 [112,] 0.3375000 0.6625000 [113,] 0.3529412 0.6470588 [114,] 0.3333333 0.6666667 [115,] 0.3544304 0.6455696 [116,] 0.3764706 0.6235294 [117,] 0.3529412 0.6470588 [118,] 0.3619048 0.6380952 [119,] 0.2736842 0.7263158 [120,] 0.3055556 0.6944444 [121,] 0.3595506 0.6404494 [122,] 0.3636364 0.6363636 [123,] 0.2947368 0.7052632 [124,] 0.3552632 0.6447368 [125,] 0.3666667 0.6333333 [126,] 0.3478261 0.6521739 [127,] 0.3684211 0.6315789 [128,] 0.3797468 0.6202532 [129,] 0.3333333 0.6666667 [130,] 0.3409091 0.6590909 [131,] 0.3146067 0.6853933 [132,] 0.3725490 0.6274510 [133,] 0.3333333 0.6666667 [134,] 0.3544304 0.6455696 [135,] 0.3170732 0.6829268 [136,] 0.3296703 0.6703297 [137,] 0.3777778 0.6222222 [138,] 0.3604651 0.6395349 [139,] 0.3846154 0.6153846 [140,] 0.3647059 0.6352941 [141,] 0.3563218 0.6436782 [142,] 0.3780488 0.6219512 [143,] 0.3461538 0.6538462 [144,] 0.3516484 0.6483516 [145,] 0.3666667 0.6333333 [146,] 0.3658537 0.6341463 [147,] 0.3333333 0.6666667 [148,] 0.3658537 0.6341463 [149,] 0.3863636 0.6136364 [150,] 0.3703704 0.6296296 > > checker <- function(x,y) { + x<-unclass(x) + y<-unclass(y) + if( sum(c(x-y)^2) > 1E-10 ) + stop("Wrong results in ", deparse(substitute(x))) + x + } > clr(cdata) Cu Zn Pb Cd Co [1,] -0.65095011 -0.302305377 2.89811212 -1.5525827 -0.39227392 [2,] -3.08009889 -0.478804503 2.39915757 -0.1604360 1.32018185 [3,] 0.54186962 2.464966068 4.54143882 -4.4073144 -3.14096007 [4,] 0.35809090 1.240021843 3.61989530 -3.0537532 -2.16425482 [5,] 1.40129172 2.130987921 4.76661847 -4.3939160 -3.90498211 [6,] 1.18267362 1.513917694 3.28871499 -3.4926872 -2.49261908 [7,] 0.54710387 2.110114968 3.33121749 -3.3120789 -2.67635742 [8,] -0.51498897 1.642135731 3.51826537 -2.6532089 -1.99220326 [9,] 0.48156000 1.779756978 4.11269126 -3.3574591 -3.01654919 [10,] -0.20991179 1.162584645 2.56813500 -2.4663202 -1.05448768 [11,] 1.48476165 2.866373619 4.81427799 -5.3866325 -3.77878073 [12,] -0.76031343 0.123118785 4.58543427 -2.4960458 -1.45219379 [13,] 0.75871011 1.638415356 5.65182049 -4.4350693 -3.61387666 [14,] 0.90911921 2.368517678 5.00846452 -4.7694816 -3.51661983 [15,] 0.21361324 0.792884680 3.80062664 -2.8507725 -1.95635210 [16,] 0.73578698 0.800151483 0.72334863 -1.3773408 -0.88194634 [17,] -0.44876378 -0.007695454 1.72878323 -1.2058057 -0.06651832 [18,] 0.54147169 1.087726451 3.57080219 -3.3921553 -1.80784506 [19,] 0.04194753 1.055190482 3.11875931 -2.5304429 -1.68545442 [20,] 0.19724875 1.081942753 0.82796916 -1.2589200 -0.84824070 [21,] 3.01578976 3.563795049 1.16628577 -3.2677782 -4.47809241 [22,] 1.31623782 1.984820420 3.21149005 -2.9573006 -3.55524771 [23,] 3.18774029 3.540226088 0.28356302 -3.0779960 -3.93353345 [24,] 1.92799657 2.640354358 1.32776230 -2.3956173 -3.50049588 [25,] 1.39356440 2.333411037 0.12116756 -1.0541335 -2.79400954 [26,] 2.08811096 2.982852122 1.80496647 -3.2495095 -3.62642002 [27,] 2.03239636 3.265829279 0.47762684 -2.0969658 -3.67888667 [28,] 0.46997865 1.848208942 2.62266460 -1.7660865 -3.17476564 [29,] 2.65829546 3.180649660 3.57185522 -4.1960017 -5.21479860 [30,] -0.09637967 1.183907780 -0.17955416 0.2620223 -1.16999623 [31,] 1.61800520 3.665316498 0.19235431 -2.6802540 -2.79542198 [32,] 0.99148043 1.542258005 0.67070741 -1.0969488 -2.10749701 [33,] -0.15904831 1.648445961 3.77859670 -1.8346396 -3.43335473 [34,] 0.79205227 3.675059468 3.46112710 -3.3674776 -4.56076127 [35,] 2.10252761 3.308235874 2.31002660 -3.5165634 -4.20422671 [36,] 1.00590572 1.535286131 1.91636359 -1.9028284 -2.55472705 [37,] 1.02425517 2.494564280 2.23893914 -2.6644393 -3.09331924 [38,] 3.30263185 2.960233534 4.76859005 -5.1576022 -5.87385324 [39,] 2.38734988 3.554832129 2.21139324 -3.8156942 -4.33788101 [40,] 0.27470252 0.926409012 1.69865333 -1.1797229 -1.72004194 [41,] 2.19454891 3.689634290 -0.40035657 -1.7122861 -3.77154055 [42,] 4.13229368 7.068383228 0.86277341 -5.3166291 -6.74682120 [43,] 1.22780923 3.299068956 1.40978523 -2.2499838 -3.68667959 [44,] -0.62283243 1.159865596 -1.99919515 1.7276928 -0.26553079 [45,] 0.86483050 3.953347407 -2.26954978 -0.2748998 -2.27372833 [46,] 1.90589448 4.930305385 0.04841911 -2.5318237 -4.35279528 [47,] 0.40719276 2.905669055 -1.13367774 -0.1923670 -1.98681711 [48,] -1.07440232 1.941068836 -2.21615964 1.5142323 -0.16473914 [49,] 0.56602372 3.751592074 -1.01602460 -0.6458740 -2.65571717 [50,] 4.43748839 6.316054167 -1.90459364 -3.2687139 -5.58023501 [51,] 0.19034235 2.502106430 -1.58449982 0.2979280 -1.40587696 [52,] 1.97110527 4.975532926 -2.06608862 -1.2317198 -3.64882976 [53,] 2.69502946 4.868808692 -0.18593671 -2.9677924 -4.41010902 [54,] 1.84213015 3.500422275 -1.44320674 -1.0987211 -2.80062458 [55,] -0.24332541 1.586613089 -2.42520073 1.5072954 -0.42538236 [56,] 2.18208651 4.208216450 -3.50511704 -0.2966440 -2.58854195 [57,] 3.70684145 6.133277242 -0.90515130 -3.4890150 -5.44595235 [58,] 2.27187854 5.627651759 1.23918951 -3.3166326 -5.82208723 [59,] 0.35618232 3.468271255 -1.61071480 -0.1706302 -2.04310858 [60,] 0.08621881 3.673444533 -3.48579240 0.8063215 -1.08019245 attr(,"class") [1] "rmult" > checker( clrInv(clr(cdata)) , clo(cdata) ) Cu Zn Pb Cd Co [1,] 0.025707633 0.03643146 0.8941291179 1.043489e-02 3.329690e-02 [2,] 0.002823595 0.03806539 0.6767266974 5.233545e-02 2.300489e-01 [3,] 0.016013070 0.10956322 0.8739074365 1.135197e-04 4.027560e-04 [4,] 0.033754825 0.08153679 0.8808856047 1.113245e-03 2.709537e-03 [5,] 0.031225209 0.06477514 0.9037497666 9.499016e-05 1.548888e-04 [6,] 0.093958313 0.13085571 0.7719289916 8.758945e-04 2.381090e-03 [7,] 0.045414210 0.21676984 0.7350501198 9.575688e-04 1.808258e-03 [8,] 0.015051926 0.13014259 0.8495954565 1.774087e-03 3.435944e-03 [9,] 0.023546055 0.08624182 0.8889931603 5.065862e-04 7.123749e-04 [10,] 0.046366661 0.18292516 0.7459267972 4.855792e-03 1.992559e-02 [11,] 0.030383722 0.12096714 0.8484603323 3.150884e-05 1.572945e-04 [12,] 0.004677034 0.01131463 0.9808424318 8.244257e-04 2.341481e-03 [13,] 0.007310149 0.01761884 0.9749381861 4.057855e-05 9.224353e-05 [14,] 0.015239361 0.06558061 0.9189455913 5.209329e-05 1.823445e-04 [15,] 0.025594023 0.04567862 0.9246102010 1.194793e-03 2.922366e-03 [16,] 0.296443253 0.31615112 0.2927788273 3.582794e-02 5.879886e-02 [17,] 0.075111032 0.11675010 0.6628272858 3.523097e-02 1.100806e-01 [18,] 0.042507679 0.07340114 0.8792025014 8.319839e-04 4.056693e-03 [19,] 0.038913897 0.10718908 0.8440090605 2.971185e-03 6.916774e-03 [20,] 0.169898872 0.41153637 0.3192338168 3.960814e-02 5.972281e-02 [21,] 0.346076144 0.59864221 0.0544430299 6.460301e-04 1.925839e-04 [22,] 0.103871387 0.20270183 0.6911837477 1.447177e-03 7.958599e-04 [23,] 0.403209328 0.57360537 0.0220933925 7.662243e-04 3.256872e-04 [24,] 0.277383482 0.56552740 0.1521956239 3.675860e-03 1.217633e-03 [25,] 0.253715426 0.64940718 0.0710807414 2.194448e-02 3.852180e-03 [26,] 0.237630256 0.58141052 0.1790332303 1.142359e-03 7.836325e-04 [27,] 0.214425053 0.73612003 0.0452947327 3.450772e-03 7.094092e-04 [28,] 0.072945698 0.28943930 0.6279127671 7.796307e-03 1.905932e-03 [29,] 0.193027470 0.32544280 0.4812525897 2.036271e-04 7.351531e-05 [30,] 0.137161507 0.49346235 0.1262147251 1.962837e-01 4.687772e-02 [31,] 0.110949601 0.85953140 0.0266669551 1.508049e-03 1.343998e-03 [32,] 0.275545396 0.47796140 0.1999324134 3.413500e-02 1.242580e-02 [33,] 0.017059650 0.10398122 0.8751200168 3.193523e-03 6.455902e-04 [34,] 0.030016608 0.53633449 0.4330380718 4.687063e-04 1.421230e-04 [35,] 0.179366677 0.59892744 0.2207280008 6.507311e-04 3.271547e-04 [36,] 0.189886426 0.32240436 0.4719551740 1.035730e-02 5.396731e-03 [37,] 0.114140952 0.49657931 0.3845670172 2.854052e-03 1.858667e-03 [38,] 0.165506127 0.11752016 0.7169215502 3.504137e-05 1.712053e-05 [39,] 0.197793866 0.63568786 0.1658806858 4.001888e-04 2.374008e-04 [40,] 0.134374410 0.25783929 0.5581238079 3.138106e-02 1.828143e-02 [41,] 0.179951965 0.80253489 0.0134339418 3.617760e-03 4.614417e-04 [42,] 0.050301448 0.94778095 0.0019126957 3.962465e-06 9.480711e-07 [43,] 0.098303161 0.78001715 0.1179230373 3.035157e-03 7.214930e-04 [44,] 0.052304217 0.31099444 0.0132065679 5.487276e-01 7.476715e-02 [45,] 0.042824195 0.93975590 0.0018639968 1.369969e-02 1.856224e-03 [46,] 0.045973462 0.94622012 0.0071749009 5.435390e-04 8.798179e-05 [47,] 0.071334530 0.86770934 0.0152794685 3.916646e-02 6.510203e-03 [48,] 0.026657407 0.54377643 0.0085105768 3.548523e-01 6.620329e-02 [49,] 0.038874054 0.94001457 0.0079907027 1.157016e-02 1.550513e-03 [50,] 0.132514085 0.86718706 0.0002333086 5.963496e-05 5.910443e-06 [51,] 0.079504084 0.80237211 0.0134767533 8.853465e-02 1.611240e-02 [52,] 0.047088550 0.94999577 0.0008309680 1.914018e-03 1.706902e-04 [53,] 0.101504083 0.89236770 0.0056924052 3.524936e-04 8.332227e-05 [54,] 0.157474955 0.82679647 0.0058939685 8.317945e-03 1.516662e-03 [55,] 0.071745979 0.44722880 0.0080950802 4.131260e-01 5.980414e-02 [56,] 0.115202196 0.87377137 0.0003904268 9.659659e-03 9.763446e-04 [57,] 0.081107893 0.91801715 0.0008055641 6.080543e-05 8.591229e-06 [58,] 0.033302410 0.95470558 0.0118572649 1.245708e-04 1.016977e-05 [59,] 0.041170754 0.92502161 0.0057593870 2.431068e-02 3.737576e-03 [60,] 0.025298575 0.91413091 0.0007108718 5.197957e-02 7.880070e-03 > ilr(cdata) [,1] [,2] [,3] [,4] [1,] 0.24652905 2.75546356 -1.90600783 -0.43857558 [2,] 1.83939290 3.41182018 0.19584811 1.47600818 [3,] 1.35983454 2.48053374 -5.99584542 -3.51170011 [4,] 0.62361935 2.30320534 -4.15093705 -2.41971045 [5,] 0.51597313 2.44988056 -6.20092841 -4.36590272 [6,] 0.23422493 1.58434575 -4.75256497 -2.78683285 [7,] 1.10521575 1.63512265 -4.59705714 -2.99225856 [8,] 1.52531751 2.41249591 -3.63876125 -2.22735096 [9,] 0.91796388 2.43481956 -4.74766253 -3.37260452 [10,] 0.97050154 1.70794638 -3.15226561 -1.17895307 [11,] 0.97694719 2.15449798 -7.31078752 -4.22480529 [12,] 0.62468091 4.00412503 -3.30139770 -1.62360201 [13,] 0.62204554 3.63606974 -6.16441324 -4.04043693 [14,] 1.03195055 2.75130450 -6.52248365 -3.93170049 [15,] 0.40960677 2.69229760 -3.85653870 -2.18726814 [16,] 0.04551258 -0.03643256 -1.84501209 -0.98604598 [17,] 0.31188240 1.59789430 -1.41154665 -0.07436974 [18,] 0.38626044 2.25043042 -4.43880344 -2.02123222 [19,] 0.71647097 2.09855160 -3.40845256 -1.88439532 [20,] 0.62557313 0.15380625 -1.69854157 -0.94836193 [21,] 0.38749826 -1.73383591 -5.06601914 -5.00665952 [22,] 0.47275929 1.27451927 -4.44110818 -3.97488777 [23,] 0.24924510 -2.51515254 -4.68967688 -4.39782409 [24,] 0.50371302 -0.78090808 -3.77672676 -3.91367338 [25,] 0.66457193 -1.42259845 -2.02376955 -3.12379763 [26,] 0.63267755 -0.59646306 -4.79906769 -4.05446084 [27,] 0.87216878 -1.77301088 -3.48337065 -4.11312034 [28,] 0.97455599 1.19500056 -2.95577699 -3.54949589 [29,] 0.36936020 0.53266821 -6.35050816 -5.83032208 [30,] 0.90529994 -0.59058685 -0.03519156 -1.30809555 [31,] 1.44766770 -1.99985042 -3.90185958 -3.12537679 [32,] 0.38945856 -0.48676407 -1.87502940 -2.35625329 [33,] 1.27809145 2.47716724 -3.10958350 -3.83860728 [34,] 2.03859394 1.00230771 -5.20500654 -5.09908611 [35,] 0.85256449 -0.32280612 -5.27423334 -4.70046835 [36,] 0.37432848 0.52726709 -2.93468315 -2.85627167 [37,] 1.03966554 0.39153412 -3.96959390 -3.45843605 [38,] -0.24211217 1.33673339 -7.65112141 -6.56716757 [39,] 0.82553461 -0.62029063 -5.65822258 -4.84989841 [40,] 0.46082608 0.89659290 -1.85876003 -1.92306535 [41,] 1.05718501 -2.72909750 -3.06592763 -4.21671053 [42,] 2.07612883 -3.86820566 -8.08675403 -7.54317542 [43,] 1.46460180 -0.69700546 -3.66231026 -4.12183309 [44,] 1.26055786 -1.85157888 1.91831564 -0.29687245 [45,] 2.18391125 -3.82009253 -0.97379578 -2.54210556 [46,] 2.13858146 -2.75133288 -4.18004194 -4.86657307 [47,] 1.76668953 -2.27811417 -0.79567093 -2.22132906 [48,] 2.13226011 -2.16330189 1.70092871 -0.18418395 [49,] 2.25253698 -2.59223988 -1.51243059 -2.96918206 [50,] 1.32834660 -5.94520956 -5.38526080 -6.23889241 [51,] 1.63466406 -2.39292630 -0.06182410 -1.57181823 [52,] 2.12445117 -4.52290746 -2.47559395 -4.07951569 [53,] 1.53709404 -3.23974068 -4.70000032 -4.93065178 [54,] 1.17258961 -3.35946126 -2.07716452 -3.13119347 [55,] 1.29396192 -2.52856300 1.61767751 -0.47559193 [56,] 1.43269022 -5.47074634 -1.08978265 -2.89407788 [57,] 1.71574920 -4.75626457 -5.60087858 -6.08875983 [58,] 2.37289000 -2.21317574 -5.51040924 -6.50929141 [59,] 2.20057919 -2.87646976 -0.78682142 -2.28426483 [60,] 2.53655163 -4.38101371 0.61923517 -1.20769187 attr(,"class") [1] "rmult" > checker( ilrInv(ilr(cdata)) , clo(cdata) ) Cu Zn Pb Cd Co [1,] 0.025707633 0.03643146 0.8941291179 1.043489e-02 3.329690e-02 [2,] 0.002823595 0.03806539 0.6767266974 5.233545e-02 2.300489e-01 [3,] 0.016013070 0.10956322 0.8739074365 1.135197e-04 4.027560e-04 [4,] 0.033754825 0.08153679 0.8808856047 1.113245e-03 2.709537e-03 [5,] 0.031225209 0.06477514 0.9037497666 9.499016e-05 1.548888e-04 [6,] 0.093958313 0.13085571 0.7719289916 8.758945e-04 2.381090e-03 [7,] 0.045414210 0.21676984 0.7350501198 9.575688e-04 1.808258e-03 [8,] 0.015051926 0.13014259 0.8495954565 1.774087e-03 3.435944e-03 [9,] 0.023546055 0.08624182 0.8889931603 5.065862e-04 7.123749e-04 [10,] 0.046366661 0.18292516 0.7459267972 4.855792e-03 1.992559e-02 [11,] 0.030383722 0.12096714 0.8484603323 3.150884e-05 1.572945e-04 [12,] 0.004677034 0.01131463 0.9808424318 8.244257e-04 2.341481e-03 [13,] 0.007310149 0.01761884 0.9749381861 4.057855e-05 9.224353e-05 [14,] 0.015239361 0.06558061 0.9189455913 5.209329e-05 1.823445e-04 [15,] 0.025594023 0.04567862 0.9246102010 1.194793e-03 2.922366e-03 [16,] 0.296443253 0.31615112 0.2927788273 3.582794e-02 5.879886e-02 [17,] 0.075111032 0.11675010 0.6628272858 3.523097e-02 1.100806e-01 [18,] 0.042507679 0.07340114 0.8792025014 8.319839e-04 4.056693e-03 [19,] 0.038913897 0.10718908 0.8440090605 2.971185e-03 6.916774e-03 [20,] 0.169898872 0.41153637 0.3192338168 3.960814e-02 5.972281e-02 [21,] 0.346076144 0.59864221 0.0544430299 6.460301e-04 1.925839e-04 [22,] 0.103871387 0.20270183 0.6911837477 1.447177e-03 7.958599e-04 [23,] 0.403209328 0.57360537 0.0220933925 7.662243e-04 3.256872e-04 [24,] 0.277383482 0.56552740 0.1521956239 3.675860e-03 1.217633e-03 [25,] 0.253715426 0.64940718 0.0710807414 2.194448e-02 3.852180e-03 [26,] 0.237630256 0.58141052 0.1790332303 1.142359e-03 7.836325e-04 [27,] 0.214425053 0.73612003 0.0452947327 3.450772e-03 7.094092e-04 [28,] 0.072945698 0.28943930 0.6279127671 7.796307e-03 1.905932e-03 [29,] 0.193027470 0.32544280 0.4812525897 2.036271e-04 7.351531e-05 [30,] 0.137161507 0.49346235 0.1262147251 1.962837e-01 4.687772e-02 [31,] 0.110949601 0.85953140 0.0266669551 1.508049e-03 1.343998e-03 [32,] 0.275545396 0.47796140 0.1999324134 3.413500e-02 1.242580e-02 [33,] 0.017059650 0.10398122 0.8751200168 3.193523e-03 6.455902e-04 [34,] 0.030016608 0.53633449 0.4330380718 4.687063e-04 1.421230e-04 [35,] 0.179366677 0.59892744 0.2207280008 6.507311e-04 3.271547e-04 [36,] 0.189886426 0.32240436 0.4719551740 1.035730e-02 5.396731e-03 [37,] 0.114140952 0.49657931 0.3845670172 2.854052e-03 1.858667e-03 [38,] 0.165506127 0.11752016 0.7169215502 3.504137e-05 1.712053e-05 [39,] 0.197793866 0.63568786 0.1658806858 4.001888e-04 2.374008e-04 [40,] 0.134374410 0.25783929 0.5581238079 3.138106e-02 1.828143e-02 [41,] 0.179951965 0.80253489 0.0134339418 3.617760e-03 4.614417e-04 [42,] 0.050301448 0.94778095 0.0019126957 3.962465e-06 9.480711e-07 [43,] 0.098303161 0.78001715 0.1179230373 3.035157e-03 7.214930e-04 [44,] 0.052304217 0.31099444 0.0132065679 5.487276e-01 7.476715e-02 [45,] 0.042824195 0.93975590 0.0018639968 1.369969e-02 1.856224e-03 [46,] 0.045973462 0.94622012 0.0071749009 5.435390e-04 8.798179e-05 [47,] 0.071334530 0.86770934 0.0152794685 3.916646e-02 6.510203e-03 [48,] 0.026657407 0.54377643 0.0085105768 3.548523e-01 6.620329e-02 [49,] 0.038874054 0.94001457 0.0079907027 1.157016e-02 1.550513e-03 [50,] 0.132514085 0.86718706 0.0002333086 5.963496e-05 5.910443e-06 [51,] 0.079504084 0.80237211 0.0134767533 8.853465e-02 1.611240e-02 [52,] 0.047088550 0.94999577 0.0008309680 1.914018e-03 1.706902e-04 [53,] 0.101504083 0.89236770 0.0056924052 3.524936e-04 8.332227e-05 [54,] 0.157474955 0.82679647 0.0058939685 8.317945e-03 1.516662e-03 [55,] 0.071745979 0.44722880 0.0080950802 4.131260e-01 5.980414e-02 [56,] 0.115202196 0.87377137 0.0003904268 9.659659e-03 9.763446e-04 [57,] 0.081107893 0.91801715 0.0008055641 6.080543e-05 8.591229e-06 [58,] 0.033302410 0.95470558 0.0118572649 1.245708e-04 1.016977e-05 [59,] 0.041170754 0.92502161 0.0057593870 2.431068e-02 3.737576e-03 [60,] 0.025298575 0.91413091 0.0007108718 5.197957e-02 7.880070e-03 > alr(cdata) Cu Zn Pb Cd [1,] -0.2586762 0.08996854 3.290386042 -1.1603088 [2,] -4.4002807 -1.79898635 1.078975721 -1.4806179 [3,] 3.6828297 5.60592613 7.682398882 -1.2663544 [4,] 2.5223457 3.40427666 5.784150120 -0.8894984 [5,] 5.3062738 6.03597003 8.671600580 -0.4889339 [6,] 3.6752927 4.00653677 5.781334066 -1.0000681 [7,] 3.2234613 4.78647239 6.007574918 -0.6357215 [8,] 1.4772143 3.63433900 5.510468631 -0.6610056 [9,] 3.4981092 4.79630616 7.129240451 -0.3409099 [10,] 0.8445759 2.21707233 3.622622682 -1.4118325 [11,] 5.2635424 6.64515435 8.593058718 -1.6078518 [12,] 0.6918804 1.57531257 6.037628058 -1.0438520 [13,] 4.3725868 5.25229201 9.265697153 -0.8211926 [14,] 4.4257390 5.88513750 8.525084346 -1.2528618 [15,] 2.1699653 2.74923678 5.756978732 -0.8944204 [16,] 1.6177333 1.68209782 1.605294973 -0.4953944 [17,] -0.3822455 0.05882286 1.795301544 -1.1392874 [18,] 2.3493168 2.89557151 5.378647251 -1.5843102 [19,] 1.7274019 2.74064490 4.804213726 -0.8449885 [20,] 1.0454894 1.93018345 1.676209860 -0.4106793 [21,] 7.4938822 8.04188746 5.644378177 1.2103142 [22,] 4.8714855 5.54006813 6.766737757 0.5979471 [23,] 7.1212737 7.47375954 4.217096469 0.8555375 [24,] 5.4284925 6.14085024 4.828258184 1.1048785 [25,] 4.1875739 5.12742058 2.915177098 1.7398761 [26,] 5.7145310 6.60927214 5.431386490 0.3769105 [27,] 5.7112830 6.94471595 4.156513507 1.5819209 [28,] 3.6447443 5.02297458 5.797430243 1.4086791 [29,] 7.8730941 8.39544826 8.786653817 1.0187969 [30,] 1.0736166 2.35390401 0.990442077 1.4320185 [31,] 4.4134272 6.46073848 2.987776287 0.1151680 [32,] 3.0989774 3.64975502 2.778204426 1.0105482 [33,] 3.2743064 5.08180069 7.211951426 1.5987151 [34,] 5.3528135 8.23582074 8.021888370 1.1932837 [35,] 6.3067543 7.51246258 6.514253307 0.6876633 [36,] 3.5606328 4.09001318 4.471090643 0.6518987 [37,] 4.1175744 5.58788352 5.332258383 0.4288799 [38,] 9.1764851 8.83408678 10.642443297 0.7162510 [39,] 6.7252309 7.89271314 6.549274254 0.5221868 [40,] 1.9947445 2.64645095 3.418695262 0.5403190 [41,] 5.9660895 7.46117484 3.371183980 2.0592545 [42,] 10.8791149 13.81520443 7.609594613 1.4301921 [43,] 4.9144888 6.98574855 5.096464824 1.4366958 [44,] -0.3573016 1.42539639 -1.733664361 1.9932236 [45,] 3.1385588 6.22707574 0.004178558 1.9988285 [46,] 6.2586898 9.28310067 4.401214385 1.8209716 [47,] 2.3940099 4.89248616 0.853139366 1.7944501 [48,] -0.9096632 2.10580797 -2.051420501 1.6789714 [49,] 3.2217409 6.40730925 1.639692569 2.0098431 [50,] 10.0177234 11.89628918 3.675641375 2.3115211 [51,] 1.5962193 3.90798339 -0.178622861 1.7038050 [52,] 5.6199350 8.62436269 1.582741142 2.4171100 [53,] 7.1051385 9.27891772 4.224172317 1.4423166 [54,] 4.6427547 6.30104685 1.357417836 1.7019035 [55,] 0.1820569 2.01199545 -1.999818374 1.9326778 [56,] 4.7706285 6.79675840 -0.916575094 2.2918980 [57,] 9.1527938 11.57922959 4.540801051 1.9569373 [58,] 8.0939658 11.44973899 7.061276739 2.5054546 [59,] 2.3992909 5.51137983 0.432393777 1.8724784 [60,] 1.1664113 4.75363698 -2.405599950 1.8865140 attr(,"class") [1] "rmult" > checker( alrInv(alr(cdata)) , clo(cdata) ) Cu Zn Pb Cd Co [1,] 0.025707633 0.03643146 0.8941291179 1.043489e-02 3.329690e-02 [2,] 0.002823595 0.03806539 0.6767266974 5.233545e-02 2.300489e-01 [3,] 0.016013070 0.10956322 0.8739074365 1.135197e-04 4.027560e-04 [4,] 0.033754825 0.08153679 0.8808856047 1.113245e-03 2.709537e-03 [5,] 0.031225209 0.06477514 0.9037497666 9.499016e-05 1.548888e-04 [6,] 0.093958313 0.13085571 0.7719289916 8.758945e-04 2.381090e-03 [7,] 0.045414210 0.21676984 0.7350501198 9.575688e-04 1.808258e-03 [8,] 0.015051926 0.13014259 0.8495954565 1.774087e-03 3.435944e-03 [9,] 0.023546055 0.08624182 0.8889931603 5.065862e-04 7.123749e-04 [10,] 0.046366661 0.18292516 0.7459267972 4.855792e-03 1.992559e-02 [11,] 0.030383722 0.12096714 0.8484603323 3.150884e-05 1.572945e-04 [12,] 0.004677034 0.01131463 0.9808424318 8.244257e-04 2.341481e-03 [13,] 0.007310149 0.01761884 0.9749381861 4.057855e-05 9.224353e-05 [14,] 0.015239361 0.06558061 0.9189455913 5.209329e-05 1.823445e-04 [15,] 0.025594023 0.04567862 0.9246102010 1.194793e-03 2.922366e-03 [16,] 0.296443253 0.31615112 0.2927788273 3.582794e-02 5.879886e-02 [17,] 0.075111032 0.11675010 0.6628272858 3.523097e-02 1.100806e-01 [18,] 0.042507679 0.07340114 0.8792025014 8.319839e-04 4.056693e-03 [19,] 0.038913897 0.10718908 0.8440090605 2.971185e-03 6.916774e-03 [20,] 0.169898872 0.41153637 0.3192338168 3.960814e-02 5.972281e-02 [21,] 0.346076144 0.59864221 0.0544430299 6.460301e-04 1.925839e-04 [22,] 0.103871387 0.20270183 0.6911837477 1.447177e-03 7.958599e-04 [23,] 0.403209328 0.57360537 0.0220933925 7.662243e-04 3.256872e-04 [24,] 0.277383482 0.56552740 0.1521956239 3.675860e-03 1.217633e-03 [25,] 0.253715426 0.64940718 0.0710807414 2.194448e-02 3.852180e-03 [26,] 0.237630256 0.58141052 0.1790332303 1.142359e-03 7.836325e-04 [27,] 0.214425053 0.73612003 0.0452947327 3.450772e-03 7.094092e-04 [28,] 0.072945698 0.28943930 0.6279127671 7.796307e-03 1.905932e-03 [29,] 0.193027470 0.32544280 0.4812525897 2.036271e-04 7.351531e-05 [30,] 0.137161507 0.49346235 0.1262147251 1.962837e-01 4.687772e-02 [31,] 0.110949601 0.85953140 0.0266669551 1.508049e-03 1.343998e-03 [32,] 0.275545396 0.47796140 0.1999324134 3.413500e-02 1.242580e-02 [33,] 0.017059650 0.10398122 0.8751200168 3.193523e-03 6.455902e-04 [34,] 0.030016608 0.53633449 0.4330380718 4.687063e-04 1.421230e-04 [35,] 0.179366677 0.59892744 0.2207280008 6.507311e-04 3.271547e-04 [36,] 0.189886426 0.32240436 0.4719551740 1.035730e-02 5.396731e-03 [37,] 0.114140952 0.49657931 0.3845670172 2.854052e-03 1.858667e-03 [38,] 0.165506127 0.11752016 0.7169215502 3.504137e-05 1.712053e-05 [39,] 0.197793866 0.63568786 0.1658806858 4.001888e-04 2.374008e-04 [40,] 0.134374410 0.25783929 0.5581238079 3.138106e-02 1.828143e-02 [41,] 0.179951965 0.80253489 0.0134339418 3.617760e-03 4.614417e-04 [42,] 0.050301448 0.94778095 0.0019126957 3.962465e-06 9.480711e-07 [43,] 0.098303161 0.78001715 0.1179230373 3.035157e-03 7.214930e-04 [44,] 0.052304217 0.31099444 0.0132065679 5.487276e-01 7.476715e-02 [45,] 0.042824195 0.93975590 0.0018639968 1.369969e-02 1.856224e-03 [46,] 0.045973462 0.94622012 0.0071749009 5.435390e-04 8.798179e-05 [47,] 0.071334530 0.86770934 0.0152794685 3.916646e-02 6.510203e-03 [48,] 0.026657407 0.54377643 0.0085105768 3.548523e-01 6.620329e-02 [49,] 0.038874054 0.94001457 0.0079907027 1.157016e-02 1.550513e-03 [50,] 0.132514085 0.86718706 0.0002333086 5.963496e-05 5.910443e-06 [51,] 0.079504084 0.80237211 0.0134767533 8.853465e-02 1.611240e-02 [52,] 0.047088550 0.94999577 0.0008309680 1.914018e-03 1.706902e-04 [53,] 0.101504083 0.89236770 0.0056924052 3.524936e-04 8.332227e-05 [54,] 0.157474955 0.82679647 0.0058939685 8.317945e-03 1.516662e-03 [55,] 0.071745979 0.44722880 0.0080950802 4.131260e-01 5.980414e-02 [56,] 0.115202196 0.87377137 0.0003904268 9.659659e-03 9.763446e-04 [57,] 0.081107893 0.91801715 0.0008055641 6.080543e-05 8.591229e-06 [58,] 0.033302410 0.95470558 0.0118572649 1.245708e-04 1.016977e-05 [59,] 0.041170754 0.92502161 0.0057593870 2.431068e-02 3.737576e-03 [60,] 0.025298575 0.91413091 0.0007108718 5.197957e-02 7.880070e-03 > cpt(cdata) Cu Zn Pb Cd Co [1,] -0.174292367 -0.163568540 6.941291e-01 -0.189565106 -0.16670310 [2,] -0.197176405 -0.161934612 4.767267e-01 -0.147664553 0.03004887 [3,] -0.183986930 -0.090436782 6.739074e-01 -0.199886480 -0.19959724 [4,] -0.166245175 -0.118463211 6.808856e-01 -0.198886755 -0.19729046 [5,] -0.168774791 -0.135224855 7.037498e-01 -0.199905010 -0.19984511 [6,] -0.106041687 -0.069144289 5.719290e-01 -0.199124106 -0.19761891 [7,] -0.154585790 0.016769843 5.350501e-01 -0.199042431 -0.19819174 [8,] -0.184948074 -0.069857414 6.495955e-01 -0.198225913 -0.19656406 [9,] -0.176453945 -0.113758176 6.889932e-01 -0.199493414 -0.19928763 [10,] -0.153633339 -0.017074839 5.459268e-01 -0.195144208 -0.18007441 [11,] -0.169616278 -0.079032857 6.484603e-01 -0.199968491 -0.19984271 [12,] -0.195322966 -0.188685373 7.808424e-01 -0.199175574 -0.19765852 [13,] -0.192689851 -0.182381157 7.749382e-01 -0.199959421 -0.19990776 [14,] -0.184760639 -0.134419390 7.189456e-01 -0.199947907 -0.19981766 [15,] -0.174405977 -0.154321383 7.246102e-01 -0.198805207 -0.19707763 [16,] 0.096443253 0.116151117 9.277883e-02 -0.164172059 -0.14120114 [17,] -0.124888968 -0.083249898 4.628273e-01 -0.164769029 -0.08991939 [18,] -0.157492321 -0.126598857 6.792025e-01 -0.199168016 -0.19594331 [19,] -0.161086103 -0.092810918 6.440091e-01 -0.197028815 -0.19308323 [20,] -0.030101128 0.211536366 1.192338e-01 -0.160391859 -0.14027719 [21,] 0.146076144 0.398642212 -1.455570e-01 -0.199353970 -0.19980742 [22,] -0.096128613 0.002701828 4.911837e-01 -0.198552823 -0.19920414 [23,] 0.203209328 0.373605368 -1.779066e-01 -0.199233776 -0.19967431 [24,] 0.077383482 0.365527402 -4.780438e-02 -0.196324140 -0.19878237 [25,] 0.053715426 0.449407176 -1.289193e-01 -0.178055525 -0.19614782 [26,] 0.037630256 0.381410522 -2.096677e-02 -0.198857641 -0.19921637 [27,] 0.014425053 0.536120033 -1.547053e-01 -0.196549228 -0.19929059 [28,] -0.127054302 0.089439297 4.279128e-01 -0.192203693 -0.19809407 [29,] -0.006972530 0.125442798 2.812526e-01 -0.199796373 -0.19992648 [30,] -0.062838493 0.293462348 -7.378527e-02 -0.003716301 -0.15312228 [31,] -0.089050399 0.659531396 -1.733330e-01 -0.198491951 -0.19865600 [32,] 0.075545396 0.277961395 -6.758658e-05 -0.165865004 -0.18757420 [33,] -0.182940350 -0.096018780 6.751200e-01 -0.196806477 -0.19935441 [34,] -0.169983392 0.336334491 2.330381e-01 -0.199531294 -0.19985788 [35,] -0.020633323 0.398927437 2.072800e-02 -0.199349269 -0.19967285 [36,] -0.010113574 0.122404364 2.719552e-01 -0.189642696 -0.19460327 [37,] -0.085859048 0.296579312 1.845670e-01 -0.197145948 -0.19814133 [38,] -0.034493873 -0.082479839 5.169216e-01 -0.199964959 -0.19998288 [39,] -0.002206134 0.435687858 -3.411931e-02 -0.199599811 -0.19976260 [40,] -0.065625590 0.057839295 3.581238e-01 -0.168618939 -0.18171857 [41,] -0.020048035 0.602534892 -1.865661e-01 -0.196382240 -0.19953856 [42,] -0.149698552 0.747780946 -1.980873e-01 -0.199996038 -0.19999905 [43,] -0.101696839 0.580017152 -8.207696e-02 -0.196964843 -0.19927851 [44,] -0.147695783 0.110994435 -1.867934e-01 0.348727629 -0.12523285 [45,] -0.157175805 0.739755897 -1.981360e-01 -0.186300313 -0.19814378 [46,] -0.154026538 0.746220116 -1.928251e-01 -0.199456461 -0.19991202 [47,] -0.128665470 0.667709338 -1.847205e-01 -0.160833540 -0.19348980 [48,] -0.173342593 0.343776433 -1.914894e-01 0.154852290 -0.13379671 [49,] -0.161125946 0.740014571 -1.920093e-01 -0.188429841 -0.19844949 [50,] -0.067485915 0.667187061 -1.997667e-01 -0.199940365 -0.19999409 [51,] -0.120495916 0.602372109 -1.865232e-01 -0.111465346 -0.18388760 [52,] -0.152911450 0.749995773 -1.991690e-01 -0.198085982 -0.19982931 [53,] -0.098495917 0.692367696 -1.943076e-01 -0.199647506 -0.19991668 [54,] -0.042525045 0.626796470 -1.941060e-01 -0.191682055 -0.19848334 [55,] -0.128254021 0.247228798 -1.919049e-01 0.213126003 -0.14019586 [56,] -0.084797804 0.673771373 -1.996096e-01 -0.190340341 -0.19902366 [57,] -0.118892107 0.718017147 -1.991944e-01 -0.199939195 -0.19999141 [58,] -0.166697590 0.754705584 -1.881427e-01 -0.199875429 -0.19998983 [59,] -0.158829246 0.725021606 -1.942406e-01 -0.175689323 -0.19626242 [60,] -0.174701425 0.714130913 -1.992891e-01 -0.148020430 -0.19211993 attr(,"class") [1] "rmult" > checker( cptInv(cpt(cdata)) , clo(cdata) ) Cu Zn Pb Cd Co [1,] 0.025707633 0.03643146 0.8941291179 1.043489e-02 3.329690e-02 [2,] 0.002823595 0.03806539 0.6767266974 5.233545e-02 2.300489e-01 [3,] 0.016013070 0.10956322 0.8739074365 1.135197e-04 4.027560e-04 [4,] 0.033754825 0.08153679 0.8808856047 1.113245e-03 2.709537e-03 [5,] 0.031225209 0.06477514 0.9037497666 9.499016e-05 1.548888e-04 [6,] 0.093958313 0.13085571 0.7719289916 8.758945e-04 2.381090e-03 [7,] 0.045414210 0.21676984 0.7350501198 9.575688e-04 1.808258e-03 [8,] 0.015051926 0.13014259 0.8495954565 1.774087e-03 3.435944e-03 [9,] 0.023546055 0.08624182 0.8889931603 5.065862e-04 7.123749e-04 [10,] 0.046366661 0.18292516 0.7459267972 4.855792e-03 1.992559e-02 [11,] 0.030383722 0.12096714 0.8484603323 3.150884e-05 1.572945e-04 [12,] 0.004677034 0.01131463 0.9808424318 8.244257e-04 2.341481e-03 [13,] 0.007310149 0.01761884 0.9749381861 4.057855e-05 9.224353e-05 [14,] 0.015239361 0.06558061 0.9189455913 5.209329e-05 1.823445e-04 [15,] 0.025594023 0.04567862 0.9246102010 1.194793e-03 2.922366e-03 [16,] 0.296443253 0.31615112 0.2927788273 3.582794e-02 5.879886e-02 [17,] 0.075111032 0.11675010 0.6628272858 3.523097e-02 1.100806e-01 [18,] 0.042507679 0.07340114 0.8792025014 8.319839e-04 4.056693e-03 [19,] 0.038913897 0.10718908 0.8440090605 2.971185e-03 6.916774e-03 [20,] 0.169898872 0.41153637 0.3192338168 3.960814e-02 5.972281e-02 [21,] 0.346076144 0.59864221 0.0544430299 6.460301e-04 1.925839e-04 [22,] 0.103871387 0.20270183 0.6911837477 1.447177e-03 7.958599e-04 [23,] 0.403209328 0.57360537 0.0220933925 7.662243e-04 3.256872e-04 [24,] 0.277383482 0.56552740 0.1521956239 3.675860e-03 1.217633e-03 [25,] 0.253715426 0.64940718 0.0710807414 2.194448e-02 3.852180e-03 [26,] 0.237630256 0.58141052 0.1790332303 1.142359e-03 7.836325e-04 [27,] 0.214425053 0.73612003 0.0452947327 3.450772e-03 7.094092e-04 [28,] 0.072945698 0.28943930 0.6279127671 7.796307e-03 1.905932e-03 [29,] 0.193027470 0.32544280 0.4812525897 2.036271e-04 7.351531e-05 [30,] 0.137161507 0.49346235 0.1262147251 1.962837e-01 4.687772e-02 [31,] 0.110949601 0.85953140 0.0266669551 1.508049e-03 1.343998e-03 [32,] 0.275545396 0.47796140 0.1999324134 3.413500e-02 1.242580e-02 [33,] 0.017059650 0.10398122 0.8751200168 3.193523e-03 6.455902e-04 [34,] 0.030016608 0.53633449 0.4330380718 4.687063e-04 1.421230e-04 [35,] 0.179366677 0.59892744 0.2207280008 6.507311e-04 3.271547e-04 [36,] 0.189886426 0.32240436 0.4719551740 1.035730e-02 5.396731e-03 [37,] 0.114140952 0.49657931 0.3845670172 2.854052e-03 1.858667e-03 [38,] 0.165506127 0.11752016 0.7169215502 3.504137e-05 1.712053e-05 [39,] 0.197793866 0.63568786 0.1658806858 4.001888e-04 2.374008e-04 [40,] 0.134374410 0.25783929 0.5581238079 3.138106e-02 1.828143e-02 [41,] 0.179951965 0.80253489 0.0134339418 3.617760e-03 4.614417e-04 [42,] 0.050301448 0.94778095 0.0019126957 3.962465e-06 9.480711e-07 [43,] 0.098303161 0.78001715 0.1179230373 3.035157e-03 7.214930e-04 [44,] 0.052304217 0.31099444 0.0132065679 5.487276e-01 7.476715e-02 [45,] 0.042824195 0.93975590 0.0018639968 1.369969e-02 1.856224e-03 [46,] 0.045973462 0.94622012 0.0071749009 5.435390e-04 8.798179e-05 [47,] 0.071334530 0.86770934 0.0152794685 3.916646e-02 6.510203e-03 [48,] 0.026657407 0.54377643 0.0085105768 3.548523e-01 6.620329e-02 [49,] 0.038874054 0.94001457 0.0079907027 1.157016e-02 1.550513e-03 [50,] 0.132514085 0.86718706 0.0002333086 5.963496e-05 5.910443e-06 [51,] 0.079504084 0.80237211 0.0134767533 8.853465e-02 1.611240e-02 [52,] 0.047088550 0.94999577 0.0008309680 1.914018e-03 1.706902e-04 [53,] 0.101504083 0.89236770 0.0056924052 3.524936e-04 8.332227e-05 [54,] 0.157474955 0.82679647 0.0058939685 8.317945e-03 1.516662e-03 [55,] 0.071745979 0.44722880 0.0080950802 4.131260e-01 5.980414e-02 [56,] 0.115202196 0.87377137 0.0003904268 9.659659e-03 9.763446e-04 [57,] 0.081107893 0.91801715 0.0008055641 6.080543e-05 8.591229e-06 [58,] 0.033302410 0.95470558 0.0118572649 1.245708e-04 1.016977e-05 [59,] 0.041170754 0.92502161 0.0057593870 2.431068e-02 3.737576e-03 [60,] 0.025298575 0.91413091 0.0007108718 5.197957e-02 7.880070e-03 > ipt(cdata) [,1] [,2] [,3] [,4] [1,] 0.007582891 0.70468519 -0.26701397 -0.18637974 [2,] 0.024919711 0.53585218 -0.16183398 0.03359566 [3,] 0.066149944 0.66227613 -0.28842779 -0.22315650 [4,] 0.033786950 0.67217248 -0.28660749 -0.22057744 [5,] 0.023723387 0.69871661 -0.28852074 -0.22343363 [6,] 0.026090400 0.53849744 -0.28697638 -0.22094466 [7,] 0.121166730 0.49312972 -0.28704743 -0.22158510 [8,] 0.081381386 0.63441637 -0.28563472 -0.21976530 [9,] 0.044332603 0.68103916 -0.28788453 -0.22281034 [10,] 0.096561442 0.51543869 -0.27731613 -0.20132931 [11,] 0.064052151 0.63097623 -0.28859334 -0.22343094 [12,] 0.004693487 0.79432592 -0.28704724 -0.22098894 [13,] 0.007289347 0.78585648 -0.28860165 -0.22350367 [14,] 0.035596639 0.71732132 -0.28856234 -0.22340293 [15,] 0.014201953 0.72584413 -0.28645189 -0.22033949 [16,] 0.013935564 -0.01103769 -0.23033082 -0.15786767 [17,] 0.029443269 0.46286923 -0.21621638 -0.10053294 [18,] 0.021844978 0.67054626 -0.28654338 -0.21907128 [19,] 0.048277846 0.62948422 -0.28324760 -0.21587361 [20,] 0.170863511 0.02328338 -0.22569910 -0.15683467 [21,] 0.178591180 -0.34122711 -0.28787357 -0.22339148 [22,] 0.069883675 0.43919118 -0.28677433 -0.22271700 [23,] 0.120488195 -0.38074375 -0.28769636 -0.22324267 [24,] 0.203748519 -0.21984972 -0.28407912 -0.22224544 [25,] 0.279796320 -0.31066108 -0.26222381 -0.21929993 [26,] 0.243089358 -0.18819198 -0.28712984 -0.22273067 [27,] 0.368894058 -0.35107541 -0.28448574 -0.22281365 [28,] 0.153084092 0.36474557 -0.27912254 -0.22147590 [29,] 0.093631776 0.18127649 -0.28841878 -0.22352461 [30,] 0.251942741 -0.15439722 -0.04849381 -0.17119591 [31,] 0.529327264 -0.37442373 -0.28654581 -0.22210416 [32,] 0.143129726 -0.14437373 -0.24567242 -0.20971433 [33,] 0.061462831 0.66511777 -0.28480121 -0.22288501 [34,] 0.358020809 0.12236224 -0.28809289 -0.22344790 [35,] 0.296674259 -0.13751358 -0.28782929 -0.22324103 [36,] 0.093704332 0.17620795 -0.27515765 -0.21757307 [37,] 0.270424758 0.06467215 -0.28484301 -0.22152874 [38,] -0.033931202 0.46981900 -0.28862973 -0.22358766 [39,] 0.309637811 -0.20482648 -0.28814450 -0.22334138 [40,] 0.087302857 0.29558561 -0.24716201 -0.20316754 [41,] 0.440232609 -0.39012981 -0.28436450 -0.22309089 [42,] 0.634613839 -0.40590372 -0.28867029 -0.22360574 [43,] 0.482044586 -0.26228901 -0.28496216 -0.22280014 [44,] 0.182921608 -0.13753294 0.36652437 -0.14001458 [45,] 0.634226489 -0.39961470 -0.27232025 -0.22153148 [46,] 0.636570514 -0.39920305 -0.28802211 -0.22350843 [47,] 0.563122028 -0.37088742 -0.24157027 -0.21632817 [48,] 0.365658370 -0.22592978 0.14018424 -0.14958926 [49,] 0.637202571 -0.39310523 -0.27486747 -0.22187327 [50,] 0.519492244 -0.40793579 -0.28860457 -0.22360019 [51,] 0.511144882 -0.34902073 -0.18179287 -0.20559259 [52,] 0.638451820 -0.40637949 -0.28641574 -0.22341596 [53,] 0.559225023 -0.40109863 -0.28824406 -0.22351364 [54,] 0.473281782 -0.39701472 -0.27863258 -0.22191112 [55,] 0.265506447 -0.20526096 0.20562565 -0.15674374 [56,] 0.536389409 -0.40342799 -0.27723927 -0.22251521 [57,] 0.591784209 -0.40723335 -0.28860244 -0.22359719 [58,] 0.651530432 -0.39367116 -0.28852836 -0.22359543 [59,] 0.624976931 -0.38974386 -0.25952464 -0.21942806 [60,] 0.628499373 -0.38294006 -0.22637952 -0.21479661 attr(,"class") [1] "rmult" > checker( iptInv(ipt(cdata)) , clo(cdata) ) Cu Zn Pb Cd Co [1,] 0.025707633 0.03643146 0.8941291179 1.043489e-02 3.329690e-02 [2,] 0.002823595 0.03806539 0.6767266974 5.233545e-02 2.300489e-01 [3,] 0.016013070 0.10956322 0.8739074365 1.135197e-04 4.027560e-04 [4,] 0.033754825 0.08153679 0.8808856047 1.113245e-03 2.709537e-03 [5,] 0.031225209 0.06477514 0.9037497666 9.499016e-05 1.548888e-04 [6,] 0.093958313 0.13085571 0.7719289916 8.758945e-04 2.381090e-03 [7,] 0.045414210 0.21676984 0.7350501198 9.575688e-04 1.808258e-03 [8,] 0.015051926 0.13014259 0.8495954565 1.774087e-03 3.435944e-03 [9,] 0.023546055 0.08624182 0.8889931603 5.065862e-04 7.123749e-04 [10,] 0.046366661 0.18292516 0.7459267972 4.855792e-03 1.992559e-02 [11,] 0.030383722 0.12096714 0.8484603323 3.150884e-05 1.572945e-04 [12,] 0.004677034 0.01131463 0.9808424318 8.244257e-04 2.341481e-03 [13,] 0.007310149 0.01761884 0.9749381861 4.057855e-05 9.224353e-05 [14,] 0.015239361 0.06558061 0.9189455913 5.209329e-05 1.823445e-04 [15,] 0.025594023 0.04567862 0.9246102010 1.194793e-03 2.922366e-03 [16,] 0.296443253 0.31615112 0.2927788273 3.582794e-02 5.879886e-02 [17,] 0.075111032 0.11675010 0.6628272858 3.523097e-02 1.100806e-01 [18,] 0.042507679 0.07340114 0.8792025014 8.319839e-04 4.056693e-03 [19,] 0.038913897 0.10718908 0.8440090605 2.971185e-03 6.916774e-03 [20,] 0.169898872 0.41153637 0.3192338168 3.960814e-02 5.972281e-02 [21,] 0.346076144 0.59864221 0.0544430299 6.460301e-04 1.925839e-04 [22,] 0.103871387 0.20270183 0.6911837477 1.447177e-03 7.958599e-04 [23,] 0.403209328 0.57360537 0.0220933925 7.662243e-04 3.256872e-04 [24,] 0.277383482 0.56552740 0.1521956239 3.675860e-03 1.217633e-03 [25,] 0.253715426 0.64940718 0.0710807414 2.194448e-02 3.852180e-03 [26,] 0.237630256 0.58141052 0.1790332303 1.142359e-03 7.836325e-04 [27,] 0.214425053 0.73612003 0.0452947327 3.450772e-03 7.094092e-04 [28,] 0.072945698 0.28943930 0.6279127671 7.796307e-03 1.905932e-03 [29,] 0.193027470 0.32544280 0.4812525897 2.036271e-04 7.351531e-05 [30,] 0.137161507 0.49346235 0.1262147251 1.962837e-01 4.687772e-02 [31,] 0.110949601 0.85953140 0.0266669551 1.508049e-03 1.343998e-03 [32,] 0.275545396 0.47796140 0.1999324134 3.413500e-02 1.242580e-02 [33,] 0.017059650 0.10398122 0.8751200168 3.193523e-03 6.455902e-04 [34,] 0.030016608 0.53633449 0.4330380718 4.687063e-04 1.421230e-04 [35,] 0.179366677 0.59892744 0.2207280008 6.507311e-04 3.271547e-04 [36,] 0.189886426 0.32240436 0.4719551740 1.035730e-02 5.396731e-03 [37,] 0.114140952 0.49657931 0.3845670172 2.854052e-03 1.858667e-03 [38,] 0.165506127 0.11752016 0.7169215502 3.504137e-05 1.712053e-05 [39,] 0.197793866 0.63568786 0.1658806858 4.001888e-04 2.374008e-04 [40,] 0.134374410 0.25783929 0.5581238079 3.138106e-02 1.828143e-02 [41,] 0.179951965 0.80253489 0.0134339418 3.617760e-03 4.614417e-04 [42,] 0.050301448 0.94778095 0.0019126957 3.962465e-06 9.480711e-07 [43,] 0.098303161 0.78001715 0.1179230373 3.035157e-03 7.214930e-04 [44,] 0.052304217 0.31099444 0.0132065679 5.487276e-01 7.476715e-02 [45,] 0.042824195 0.93975590 0.0018639968 1.369969e-02 1.856224e-03 [46,] 0.045973462 0.94622012 0.0071749009 5.435390e-04 8.798179e-05 [47,] 0.071334530 0.86770934 0.0152794685 3.916646e-02 6.510203e-03 [48,] 0.026657407 0.54377643 0.0085105768 3.548523e-01 6.620329e-02 [49,] 0.038874054 0.94001457 0.0079907027 1.157016e-02 1.550513e-03 [50,] 0.132514085 0.86718706 0.0002333086 5.963496e-05 5.910443e-06 [51,] 0.079504084 0.80237211 0.0134767533 8.853465e-02 1.611240e-02 [52,] 0.047088550 0.94999577 0.0008309680 1.914018e-03 1.706902e-04 [53,] 0.101504083 0.89236770 0.0056924052 3.524936e-04 8.332227e-05 [54,] 0.157474955 0.82679647 0.0058939685 8.317945e-03 1.516662e-03 [55,] 0.071745979 0.44722880 0.0080950802 4.131260e-01 5.980414e-02 [56,] 0.115202196 0.87377137 0.0003904268 9.659659e-03 9.763446e-04 [57,] 0.081107893 0.91801715 0.0008055641 6.080543e-05 8.591229e-06 [58,] 0.033302410 0.95470558 0.0118572649 1.245708e-04 1.016977e-05 [59,] 0.041170754 0.92502161 0.0057593870 2.431068e-02 3.737576e-03 [60,] 0.025298575 0.91413091 0.0007108718 5.197957e-02 7.880070e-03 > apt(cdata) Cu Zn Pb Cd [1,] 0.025707633 0.03643146 0.8941291179 1.043489e-02 [2,] 0.002823595 0.03806539 0.6767266974 5.233545e-02 [3,] 0.016013070 0.10956322 0.8739074365 1.135197e-04 [4,] 0.033754825 0.08153679 0.8808856047 1.113245e-03 [5,] 0.031225209 0.06477514 0.9037497666 9.499016e-05 [6,] 0.093958313 0.13085571 0.7719289916 8.758945e-04 [7,] 0.045414210 0.21676984 0.7350501198 9.575688e-04 [8,] 0.015051926 0.13014259 0.8495954565 1.774087e-03 [9,] 0.023546055 0.08624182 0.8889931603 5.065862e-04 [10,] 0.046366661 0.18292516 0.7459267972 4.855792e-03 [11,] 0.030383722 0.12096714 0.8484603323 3.150884e-05 [12,] 0.004677034 0.01131463 0.9808424318 8.244257e-04 [13,] 0.007310149 0.01761884 0.9749381861 4.057855e-05 [14,] 0.015239361 0.06558061 0.9189455913 5.209329e-05 [15,] 0.025594023 0.04567862 0.9246102010 1.194793e-03 [16,] 0.296443253 0.31615112 0.2927788273 3.582794e-02 [17,] 0.075111032 0.11675010 0.6628272858 3.523097e-02 [18,] 0.042507679 0.07340114 0.8792025014 8.319839e-04 [19,] 0.038913897 0.10718908 0.8440090605 2.971185e-03 [20,] 0.169898872 0.41153637 0.3192338168 3.960814e-02 [21,] 0.346076144 0.59864221 0.0544430299 6.460301e-04 [22,] 0.103871387 0.20270183 0.6911837477 1.447177e-03 [23,] 0.403209328 0.57360537 0.0220933925 7.662243e-04 [24,] 0.277383482 0.56552740 0.1521956239 3.675860e-03 [25,] 0.253715426 0.64940718 0.0710807414 2.194448e-02 [26,] 0.237630256 0.58141052 0.1790332303 1.142359e-03 [27,] 0.214425053 0.73612003 0.0452947327 3.450772e-03 [28,] 0.072945698 0.28943930 0.6279127671 7.796307e-03 [29,] 0.193027470 0.32544280 0.4812525897 2.036271e-04 [30,] 0.137161507 0.49346235 0.1262147251 1.962837e-01 [31,] 0.110949601 0.85953140 0.0266669551 1.508049e-03 [32,] 0.275545396 0.47796140 0.1999324134 3.413500e-02 [33,] 0.017059650 0.10398122 0.8751200168 3.193523e-03 [34,] 0.030016608 0.53633449 0.4330380718 4.687063e-04 [35,] 0.179366677 0.59892744 0.2207280008 6.507311e-04 [36,] 0.189886426 0.32240436 0.4719551740 1.035730e-02 [37,] 0.114140952 0.49657931 0.3845670172 2.854052e-03 [38,] 0.165506127 0.11752016 0.7169215502 3.504137e-05 [39,] 0.197793866 0.63568786 0.1658806858 4.001888e-04 [40,] 0.134374410 0.25783929 0.5581238079 3.138106e-02 [41,] 0.179951965 0.80253489 0.0134339418 3.617760e-03 [42,] 0.050301448 0.94778095 0.0019126957 3.962465e-06 [43,] 0.098303161 0.78001715 0.1179230373 3.035157e-03 [44,] 0.052304217 0.31099444 0.0132065679 5.487276e-01 [45,] 0.042824195 0.93975590 0.0018639968 1.369969e-02 [46,] 0.045973462 0.94622012 0.0071749009 5.435390e-04 [47,] 0.071334530 0.86770934 0.0152794685 3.916646e-02 [48,] 0.026657407 0.54377643 0.0085105768 3.548523e-01 [49,] 0.038874054 0.94001457 0.0079907027 1.157016e-02 [50,] 0.132514085 0.86718706 0.0002333086 5.963496e-05 [51,] 0.079504084 0.80237211 0.0134767533 8.853465e-02 [52,] 0.047088550 0.94999577 0.0008309680 1.914018e-03 [53,] 0.101504083 0.89236770 0.0056924052 3.524936e-04 [54,] 0.157474955 0.82679647 0.0058939685 8.317945e-03 [55,] 0.071745979 0.44722880 0.0080950802 4.131260e-01 [56,] 0.115202196 0.87377137 0.0003904268 9.659659e-03 [57,] 0.081107893 0.91801715 0.0008055641 6.080543e-05 [58,] 0.033302410 0.95470558 0.0118572649 1.245708e-04 [59,] 0.041170754 0.92502161 0.0057593870 2.431068e-02 [60,] 0.025298575 0.91413091 0.0007108718 5.197957e-02 attr(,"class") [1] "rmult" > checker( aptInv(apt(cdata)) , clo(cdata) ) Cu Zn Pb Cd Co [1,] 0.025707633 0.03643146 0.8941291179 1.043489e-02 3.329690e-02 [2,] 0.002823595 0.03806539 0.6767266974 5.233545e-02 2.300489e-01 [3,] 0.016013070 0.10956322 0.8739074365 1.135197e-04 4.027560e-04 [4,] 0.033754825 0.08153679 0.8808856047 1.113245e-03 2.709537e-03 [5,] 0.031225209 0.06477514 0.9037497666 9.499016e-05 1.548888e-04 [6,] 0.093958313 0.13085571 0.7719289916 8.758945e-04 2.381090e-03 [7,] 0.045414210 0.21676984 0.7350501198 9.575688e-04 1.808258e-03 [8,] 0.015051926 0.13014259 0.8495954565 1.774087e-03 3.435944e-03 [9,] 0.023546055 0.08624182 0.8889931603 5.065862e-04 7.123749e-04 [10,] 0.046366661 0.18292516 0.7459267972 4.855792e-03 1.992559e-02 [11,] 0.030383722 0.12096714 0.8484603323 3.150884e-05 1.572945e-04 [12,] 0.004677034 0.01131463 0.9808424318 8.244257e-04 2.341481e-03 [13,] 0.007310149 0.01761884 0.9749381861 4.057855e-05 9.224353e-05 [14,] 0.015239361 0.06558061 0.9189455913 5.209329e-05 1.823445e-04 [15,] 0.025594023 0.04567862 0.9246102010 1.194793e-03 2.922366e-03 [16,] 0.296443253 0.31615112 0.2927788273 3.582794e-02 5.879886e-02 [17,] 0.075111032 0.11675010 0.6628272858 3.523097e-02 1.100806e-01 [18,] 0.042507679 0.07340114 0.8792025014 8.319839e-04 4.056693e-03 [19,] 0.038913897 0.10718908 0.8440090605 2.971185e-03 6.916774e-03 [20,] 0.169898872 0.41153637 0.3192338168 3.960814e-02 5.972281e-02 [21,] 0.346076144 0.59864221 0.0544430299 6.460301e-04 1.925839e-04 [22,] 0.103871387 0.20270183 0.6911837477 1.447177e-03 7.958599e-04 [23,] 0.403209328 0.57360537 0.0220933925 7.662243e-04 3.256872e-04 [24,] 0.277383482 0.56552740 0.1521956239 3.675860e-03 1.217633e-03 [25,] 0.253715426 0.64940718 0.0710807414 2.194448e-02 3.852180e-03 [26,] 0.237630256 0.58141052 0.1790332303 1.142359e-03 7.836325e-04 [27,] 0.214425053 0.73612003 0.0452947327 3.450772e-03 7.094092e-04 [28,] 0.072945698 0.28943930 0.6279127671 7.796307e-03 1.905932e-03 [29,] 0.193027470 0.32544280 0.4812525897 2.036271e-04 7.351531e-05 [30,] 0.137161507 0.49346235 0.1262147251 1.962837e-01 4.687772e-02 [31,] 0.110949601 0.85953140 0.0266669551 1.508049e-03 1.343998e-03 [32,] 0.275545396 0.47796140 0.1999324134 3.413500e-02 1.242580e-02 [33,] 0.017059650 0.10398122 0.8751200168 3.193523e-03 6.455902e-04 [34,] 0.030016608 0.53633449 0.4330380718 4.687063e-04 1.421230e-04 [35,] 0.179366677 0.59892744 0.2207280008 6.507311e-04 3.271547e-04 [36,] 0.189886426 0.32240436 0.4719551740 1.035730e-02 5.396731e-03 [37,] 0.114140952 0.49657931 0.3845670172 2.854052e-03 1.858667e-03 [38,] 0.165506127 0.11752016 0.7169215502 3.504137e-05 1.712053e-05 [39,] 0.197793866 0.63568786 0.1658806858 4.001888e-04 2.374008e-04 [40,] 0.134374410 0.25783929 0.5581238079 3.138106e-02 1.828143e-02 [41,] 0.179951965 0.80253489 0.0134339418 3.617760e-03 4.614417e-04 [42,] 0.050301448 0.94778095 0.0019126957 3.962465e-06 9.480711e-07 [43,] 0.098303161 0.78001715 0.1179230373 3.035157e-03 7.214930e-04 [44,] 0.052304217 0.31099444 0.0132065679 5.487276e-01 7.476715e-02 [45,] 0.042824195 0.93975590 0.0018639968 1.369969e-02 1.856224e-03 [46,] 0.045973462 0.94622012 0.0071749009 5.435390e-04 8.798179e-05 [47,] 0.071334530 0.86770934 0.0152794685 3.916646e-02 6.510203e-03 [48,] 0.026657407 0.54377643 0.0085105768 3.548523e-01 6.620329e-02 [49,] 0.038874054 0.94001457 0.0079907027 1.157016e-02 1.550513e-03 [50,] 0.132514085 0.86718706 0.0002333086 5.963496e-05 5.910443e-06 [51,] 0.079504084 0.80237211 0.0134767533 8.853465e-02 1.611240e-02 [52,] 0.047088550 0.94999577 0.0008309680 1.914018e-03 1.706902e-04 [53,] 0.101504083 0.89236770 0.0056924052 3.524936e-04 8.332227e-05 [54,] 0.157474955 0.82679647 0.0058939685 8.317945e-03 1.516662e-03 [55,] 0.071745979 0.44722880 0.0080950802 4.131260e-01 5.980414e-02 [56,] 0.115202196 0.87377137 0.0003904268 9.659659e-03 9.763446e-04 [57,] 0.081107893 0.91801715 0.0008055641 6.080543e-05 8.591229e-06 [58,] 0.033302410 0.95470558 0.0118572649 1.245708e-04 1.016977e-05 [59,] 0.041170754 0.92502161 0.0057593870 2.431068e-02 3.737576e-03 [60,] 0.025298575 0.91413091 0.0007108718 5.197957e-02 7.880070e-03 > ilt(cdata) Cu Zn Pb Cd Co [1,] 0.8439824 1.1926271 4.393044591 -0.05765025 1.1026585 [2,] -2.8439914 -0.2426970 2.635265110 0.07567152 1.5562894 [3,] -1.1906445 0.7324519 2.808924683 -6.13982857 -4.8734742 [4,] 1.0650832 1.9470141 4.326887601 -2.34676093 -1.4572625 [5,] 1.7491156 2.4788118 5.114442373 -4.04609210 -3.5571582 [6,] 1.1313507 1.4625948 3.237392056 -3.54401016 -2.5439420 [7,] 1.0841224 2.6471335 3.868235988 -2.77506042 -2.1393389 [8,] 1.1191801 3.2763048 5.152434404 -1.01903982 -0.3580342 [9,] 1.1259835 2.4241805 4.757114801 -2.71303552 -2.3721257 [10,] 0.7307652 2.1032616 3.508811978 -1.52564320 -0.1138107 [11,] 2.0797914 3.4614033 5.409307692 -4.79160284 -3.1837510 [12,] -0.2338936 0.6495386 5.111854113 -1.96962599 -0.9257739 [13,] -0.2496309 0.6300743 4.643479487 -5.44341031 -4.6222177 [14,] -0.8765069 0.5828915 3.222838390 -6.55510771 -5.3022460 [15,] 1.1634872 1.7427586 4.750500584 -1.90089851 -1.0064781 [16,] 2.0945437 2.1589082 2.082105325 -0.01858407 0.4768104 [17,] 1.2082846 1.6493530 3.385831656 0.45124275 1.5905301 [18,] 1.3614414 1.9076961 4.390771880 -2.57218559 -0.9878754 [19,] 1.0645230 2.0777660 4.141334790 -1.50786742 -0.6628789 [20,] 1.8813992 2.7660932 2.512119577 0.42523044 0.8359097 [21,] 2.8377949 3.3858002 0.988290895 -3.44577304 -4.6560873 [22,] 0.7942972 1.4628798 2.689549443 -3.47924119 -4.0771883 [23,] 3.0225743 3.3750601 0.118397002 -3.24316197 -4.0986995 [24,] 2.8569939 3.5693517 2.256759676 -1.46661997 -2.5714985 [25,] 2.7791770 3.7190237 1.506780201 0.33147919 -1.4083969 [26,] 3.1258560 4.0205972 2.842711523 -2.21176447 -2.5886750 [27,] 3.1604263 4.3938592 1.605656727 -0.96893591 -2.5508568 [28,] 0.6056493 1.9838796 2.758335265 -1.63041589 -3.0390950 [29,] 1.9806788 2.5030330 2.894238576 -4.87361838 -5.8924152 [30,] 2.0321789 3.3124664 1.949004425 2.39058086 0.9585623 [31,] 3.2820197 5.3293310 1.856368851 -1.01623948 -1.1314074 [32,] 2.5612912 3.1120688 2.240518221 0.47286197 -0.5376862 [33,] -0.2093683 1.5981259 3.728276681 -1.88495964 -3.4836747 [34,] 0.6295085 3.5125157 3.298583292 -3.53002138 -4.7233051 [35,] 1.5153026 2.7210109 1.722801609 -4.10378837 -4.7914517 [36,] 1.6035470 2.1329274 2.514004895 -1.30518710 -1.9570857 [37,] 0.7926784 2.2629875 2.007362392 -2.89601609 -3.3248960 [38,] 2.8158168 2.4734185 4.281775039 -5.64441721 -6.3606683 [39,] 2.6730439 3.8405262 2.497087296 -3.53000019 -4.0521870 [40,] 1.2983975 1.9501039 2.722348260 -0.15602798 -0.6963470 [41,] 2.3936141 3.8886995 -0.201291352 -1.51322086 -3.5724753 [42,] 3.4859717 6.4220613 0.216451447 -5.96295109 -7.3931432 [43,] 1.3601482 3.4314079 1.542124189 -2.11764486 -3.5543406 [44,] 2.9864591 4.7691572 1.610096412 5.33698434 3.3437608 [45,] 2.6299462 5.7184631 -0.504434049 1.49021593 -0.5086126 [46,] 2.4641628 5.4885737 0.606687418 -1.97355538 -3.7945270 [47,] 1.8862626 4.3847389 0.345392088 1.28670287 -0.5077473 [48,] 1.6164960 4.6319671 0.474738657 4.20513056 2.5261592 [49,] 1.7564396 4.9420080 0.174391302 0.54454188 -1.4653013 [50,] 4.6501220 6.5286878 -1.691960014 -3.05608029 -5.3676014 [51,] 1.8596589 4.1714230 0.084816728 1.96724455 0.2634396 [52,] 4.1072128 7.1116404 0.070018870 0.90438768 -1.5127223 [53,] 4.1983610 6.3721402 1.317394838 -1.46446087 -2.9067775 [54,] 2.8249582 4.4832503 -0.460378725 -0.11589308 -1.8177966 [55,] 1.8360998 3.6660383 -0.345775508 3.58672064 1.6540429 [56,] 4.0761298 6.1022597 -1.611073768 1.59739930 -0.6944987 [57,] 3.5258851 5.9523209 -1.086107671 -3.66997142 -5.6269087 [58,] 1.3208892 4.6766624 0.288200179 -4.26762191 -6.7730766 [59,] 1.9698068 5.0818958 0.002909715 1.44299432 -0.4294841 [60,] 3.2732844 6.8605102 -0.298726764 3.99338714 2.1068732 attr(,"class") [1] "rmult" > checker( iltInv(ilt(cdata)) , cdata ) Cu Zn Pb Cd Co [1,] 2.32560998 3.2957280 80.8863102 9.439800e-01 3.012163e+00 [2,] 0.05819293 0.7845092 13.9470095 1.078608e+00 4.741196e+00 [3,] 0.30402525 2.0801748 16.5920669 2.155293e-03 7.646753e-03 [4,] 2.90108035 7.0077322 75.7082851 9.567857e-02 2.328729e-01 [5,] 5.74951568 11.9270845 166.4079616 1.749059e-02 2.851976e-02 [6,] 3.09984060 4.3171470 25.4672180 2.889721e-02 7.855612e-02 [7,] 2.95684364 14.1135236 47.8578897 6.234571e-02 1.177326e-01 [8,] 3.06234225 26.4777503 172.8517697 3.609413e-01 6.990491e-01 [9,] 3.08324786 11.2929712 116.4095761 6.633514e-02 9.328223e-02 [10,] 2.07666904 8.1928484 33.4085541 2.174811e-01 8.924269e-01 [11,] 8.00279898 31.8616572 223.4768193 8.299145e-03 4.142996e-02 [12,] 0.79144603 1.9146573 165.9778114 1.395090e-01 3.962246e-01 [13,] 0.77908829 1.8777502 103.9052563 4.324709e-03 9.830970e-03 [14,] 0.41623431 1.7912103 25.0992607 1.422830e-03 4.980396e-03 [15,] 3.20107658 5.7130820 115.6421587 1.494343e-01 3.655040e-01 [16,] 8.12173391 8.6616754 8.0213387 9.815876e-01 1.610928e+00 [17,] 3.34773718 5.2036119 29.5425518 1.570262e+00 4.906349e+00 [18,] 3.90181325 6.7375485 80.7026878 7.636845e-02 3.723670e-01 [19,] 2.89945563 7.9866066 62.8867060 2.213816e-01 5.153655e-01 [20,] 6.56268069 15.8964079 12.3310390 1.529943e+00 2.306912e+00 [21,] 17.07806483 29.5416217 2.6866388 3.188011e-02 9.503575e-03 [22,] 2.21288525 4.3183778 14.7250399 3.083080e-02 1.695507e-02 [23,] 20.54410986 29.2260393 1.1256909 3.904026e-02 1.659424e-02 [24,] 17.40911544 35.4935764 9.5520871 2.307040e-01 7.642094e-02 [25,] 16.10576105 41.2241264 4.5121791 1.393027e+00 2.445350e-01 [26,] 22.77938611 55.7343791 17.1622383 1.095073e-01 7.511951e-02 [27,] 23.58064507 80.9522254 4.9811298 3.794866e-01 7.801480e-02 [28,] 1.83244165 7.2708966 15.7735623 1.958481e-01 4.787820e-02 [29,] 7.24766118 12.2194998 18.0697375 7.645650e-03 2.760302e-03 [30,] 7.63069488 27.4527504 7.0216935 1.091983e+01 2.607944e+00 [31,] 26.62950316 206.2999218 6.4004535 3.619535e-01 3.225789e-01 [32,] 12.95253128 22.4674773 9.3982004 1.604580e+00 5.840982e-01 [33,] 0.81109644 4.9437589 41.6073436 1.518352e-01 3.069441e-02 [34,] 1.87668790 33.5325182 27.0742554 2.930429e-02 8.885762e-03 [35,] 4.55079806 15.1956755 5.6001961 1.651001e-02 8.300399e-03 [36,] 4.97063214 8.4395369 12.3543088 2.711218e-01 1.412695e-01 [37,] 2.20930598 9.6117618 7.4436580 5.524286e-02 3.597626e-02 [38,] 16.70681690 11.8629313 72.3687834 3.537209e-03 1.728211e-03 [39,] 14.48399049 46.5499617 12.1470616 2.930491e-02 1.738431e-02 [40,] 3.66342116 7.0294182 15.2160115 8.555352e-01 4.984026e-01 [41,] 10.95300809 48.8473197 0.8176742 2.201996e-01 2.808624e-02 [42,] 32.65414213 615.2700400 1.2416628 2.572310e-03 6.154584e-04 [43,] 3.89677070 30.9201450 4.6745093 1.203147e-01 2.860023e-02 [44,] 19.81539452 117.8198968 5.0032936 2.078849e+02 2.832545e+01 [45,] 13.87302392 304.4366853 0.6038472 4.438054e+00 6.013293e-01 [46,] 11.75363784 241.9119212 1.8343449 1.389619e-01 2.249354e-02 [47,] 6.59467556 80.2172745 1.4125437 3.620828e+00 6.018499e-01 [48,] 5.03541513 102.7159212 1.6075940 6.702935e+01 1.250538e+01 [49,] 5.79177975 140.0511873 1.1905213 1.723818e+00 2.310084e-01 [50,] 104.59774771 684.4994158 0.1841582 4.707184e-02 4.665308e-03 [51,] 6.42154600 64.8076064 1.0885176 7.150945e+00 1.301399e+00 [52,] 60.77708084 1226.1573067 1.0725284 2.470419e+00 2.203094e-01 [53,] 66.57712168 585.3091893 3.7336819 2.312026e-01 5.465156e-02 [54,] 16.86023960 88.5219277 0.6310446 8.905704e-01 1.623832e-01 [55,] 6.27202842 39.0967097 0.7076713 3.611545e+01 5.228074e+00 [56,] 58.91700620 446.8664238 0.1996731 4.940168e+00 4.993247e-01 [57,] 33.98383856 384.6450147 0.3375277 2.547720e-02 3.599686e-03 [58,] 3.74675153 107.4109817 1.3340243 1.401507e-02 1.144169e-03 [59,] 7.16929149 161.0791359 1.0029140 4.233353e+00 6.508448e-01 [60,] 26.39789963 953.8535679 0.7417621 5.423829e+01 8.222491e+00 > iit(cdata) Cu Zn Pb Cd Co [1,] 2.32560998 3.2957280 80.8863102 9.439800e-01 3.012163e+00 [2,] 0.05819293 0.7845092 13.9470095 1.078608e+00 4.741196e+00 [3,] 0.30402525 2.0801748 16.5920669 2.155293e-03 7.646753e-03 [4,] 2.90108035 7.0077322 75.7082851 9.567857e-02 2.328729e-01 [5,] 5.74951568 11.9270845 166.4079616 1.749059e-02 2.851976e-02 [6,] 3.09984060 4.3171470 25.4672180 2.889721e-02 7.855612e-02 [7,] 2.95684364 14.1135236 47.8578897 6.234571e-02 1.177326e-01 [8,] 3.06234225 26.4777503 172.8517697 3.609413e-01 6.990491e-01 [9,] 3.08324786 11.2929712 116.4095761 6.633514e-02 9.328223e-02 [10,] 2.07666904 8.1928484 33.4085541 2.174811e-01 8.924269e-01 [11,] 8.00279898 31.8616572 223.4768193 8.299145e-03 4.142996e-02 [12,] 0.79144603 1.9146573 165.9778114 1.395090e-01 3.962246e-01 [13,] 0.77908829 1.8777502 103.9052563 4.324709e-03 9.830970e-03 [14,] 0.41623431 1.7912103 25.0992607 1.422830e-03 4.980396e-03 [15,] 3.20107658 5.7130820 115.6421587 1.494343e-01 3.655040e-01 [16,] 8.12173391 8.6616754 8.0213387 9.815876e-01 1.610928e+00 [17,] 3.34773718 5.2036119 29.5425518 1.570262e+00 4.906349e+00 [18,] 3.90181325 6.7375485 80.7026878 7.636845e-02 3.723670e-01 [19,] 2.89945563 7.9866066 62.8867060 2.213816e-01 5.153655e-01 [20,] 6.56268069 15.8964079 12.3310390 1.529943e+00 2.306912e+00 [21,] 17.07806483 29.5416217 2.6866388 3.188011e-02 9.503575e-03 [22,] 2.21288525 4.3183778 14.7250399 3.083080e-02 1.695507e-02 [23,] 20.54410986 29.2260393 1.1256909 3.904026e-02 1.659424e-02 [24,] 17.40911544 35.4935764 9.5520871 2.307040e-01 7.642094e-02 [25,] 16.10576105 41.2241264 4.5121791 1.393027e+00 2.445350e-01 [26,] 22.77938611 55.7343791 17.1622383 1.095073e-01 7.511951e-02 [27,] 23.58064507 80.9522254 4.9811298 3.794866e-01 7.801480e-02 [28,] 1.83244165 7.2708966 15.7735623 1.958481e-01 4.787820e-02 [29,] 7.24766118 12.2194998 18.0697375 7.645650e-03 2.760302e-03 [30,] 7.63069488 27.4527504 7.0216935 1.091983e+01 2.607944e+00 [31,] 26.62950316 206.2999218 6.4004535 3.619535e-01 3.225789e-01 [32,] 12.95253128 22.4674773 9.3982004 1.604580e+00 5.840982e-01 [33,] 0.81109644 4.9437589 41.6073436 1.518352e-01 3.069441e-02 [34,] 1.87668790 33.5325182 27.0742554 2.930429e-02 8.885762e-03 [35,] 4.55079806 15.1956755 5.6001961 1.651001e-02 8.300399e-03 [36,] 4.97063214 8.4395369 12.3543088 2.711218e-01 1.412695e-01 [37,] 2.20930598 9.6117618 7.4436580 5.524286e-02 3.597626e-02 [38,] 16.70681690 11.8629313 72.3687834 3.537209e-03 1.728211e-03 [39,] 14.48399049 46.5499617 12.1470616 2.930491e-02 1.738431e-02 [40,] 3.66342116 7.0294182 15.2160115 8.555352e-01 4.984026e-01 [41,] 10.95300809 48.8473197 0.8176742 2.201996e-01 2.808624e-02 [42,] 32.65414213 615.2700400 1.2416628 2.572310e-03 6.154584e-04 [43,] 3.89677070 30.9201450 4.6745093 1.203147e-01 2.860023e-02 [44,] 19.81539452 117.8198968 5.0032936 2.078849e+02 2.832545e+01 [45,] 13.87302392 304.4366853 0.6038472 4.438054e+00 6.013293e-01 [46,] 11.75363784 241.9119212 1.8343449 1.389619e-01 2.249354e-02 [47,] 6.59467556 80.2172745 1.4125437 3.620828e+00 6.018499e-01 [48,] 5.03541513 102.7159212 1.6075940 6.702935e+01 1.250538e+01 [49,] 5.79177975 140.0511873 1.1905213 1.723818e+00 2.310084e-01 [50,] 104.59774771 684.4994158 0.1841582 4.707184e-02 4.665308e-03 [51,] 6.42154600 64.8076064 1.0885176 7.150945e+00 1.301399e+00 [52,] 60.77708084 1226.1573067 1.0725284 2.470419e+00 2.203094e-01 [53,] 66.57712168 585.3091893 3.7336819 2.312026e-01 5.465156e-02 [54,] 16.86023960 88.5219277 0.6310446 8.905704e-01 1.623832e-01 [55,] 6.27202842 39.0967097 0.7076713 3.611545e+01 5.228074e+00 [56,] 58.91700620 446.8664238 0.1996731 4.940168e+00 4.993247e-01 [57,] 33.98383856 384.6450147 0.3375277 2.547720e-02 3.599686e-03 [58,] 3.74675153 107.4109817 1.3340243 1.401507e-02 1.144169e-03 [59,] 7.16929149 161.0791359 1.0029140 4.233353e+00 6.508448e-01 [60,] 26.39789963 953.8535679 0.7417621 5.423829e+01 8.222491e+00 attr(,"class") [1] "rmult" > checker( iitInv(iit(cdata)) , cdata ) Cu Zn Pb Cd Co [1,] 2.32560998 3.2957280 80.8863102 9.439800e-01 3.012163e+00 [2,] 0.05819293 0.7845092 13.9470095 1.078608e+00 4.741196e+00 [3,] 0.30402525 2.0801748 16.5920669 2.155293e-03 7.646753e-03 [4,] 2.90108035 7.0077322 75.7082851 9.567857e-02 2.328729e-01 [5,] 5.74951568 11.9270845 166.4079616 1.749059e-02 2.851976e-02 [6,] 3.09984060 4.3171470 25.4672180 2.889721e-02 7.855612e-02 [7,] 2.95684364 14.1135236 47.8578897 6.234571e-02 1.177326e-01 [8,] 3.06234225 26.4777503 172.8517697 3.609413e-01 6.990491e-01 [9,] 3.08324786 11.2929712 116.4095761 6.633514e-02 9.328223e-02 [10,] 2.07666904 8.1928484 33.4085541 2.174811e-01 8.924269e-01 [11,] 8.00279898 31.8616572 223.4768193 8.299145e-03 4.142996e-02 [12,] 0.79144603 1.9146573 165.9778114 1.395090e-01 3.962246e-01 [13,] 0.77908829 1.8777502 103.9052563 4.324709e-03 9.830970e-03 [14,] 0.41623431 1.7912103 25.0992607 1.422830e-03 4.980396e-03 [15,] 3.20107658 5.7130820 115.6421587 1.494343e-01 3.655040e-01 [16,] 8.12173391 8.6616754 8.0213387 9.815876e-01 1.610928e+00 [17,] 3.34773718 5.2036119 29.5425518 1.570262e+00 4.906349e+00 [18,] 3.90181325 6.7375485 80.7026878 7.636845e-02 3.723670e-01 [19,] 2.89945563 7.9866066 62.8867060 2.213816e-01 5.153655e-01 [20,] 6.56268069 15.8964079 12.3310390 1.529943e+00 2.306912e+00 [21,] 17.07806483 29.5416217 2.6866388 3.188011e-02 9.503575e-03 [22,] 2.21288525 4.3183778 14.7250399 3.083080e-02 1.695507e-02 [23,] 20.54410986 29.2260393 1.1256909 3.904026e-02 1.659424e-02 [24,] 17.40911544 35.4935764 9.5520871 2.307040e-01 7.642094e-02 [25,] 16.10576105 41.2241264 4.5121791 1.393027e+00 2.445350e-01 [26,] 22.77938611 55.7343791 17.1622383 1.095073e-01 7.511951e-02 [27,] 23.58064507 80.9522254 4.9811298 3.794866e-01 7.801480e-02 [28,] 1.83244165 7.2708966 15.7735623 1.958481e-01 4.787820e-02 [29,] 7.24766118 12.2194998 18.0697375 7.645650e-03 2.760302e-03 [30,] 7.63069488 27.4527504 7.0216935 1.091983e+01 2.607944e+00 [31,] 26.62950316 206.2999218 6.4004535 3.619535e-01 3.225789e-01 [32,] 12.95253128 22.4674773 9.3982004 1.604580e+00 5.840982e-01 [33,] 0.81109644 4.9437589 41.6073436 1.518352e-01 3.069441e-02 [34,] 1.87668790 33.5325182 27.0742554 2.930429e-02 8.885762e-03 [35,] 4.55079806 15.1956755 5.6001961 1.651001e-02 8.300399e-03 [36,] 4.97063214 8.4395369 12.3543088 2.711218e-01 1.412695e-01 [37,] 2.20930598 9.6117618 7.4436580 5.524286e-02 3.597626e-02 [38,] 16.70681690 11.8629313 72.3687834 3.537209e-03 1.728211e-03 [39,] 14.48399049 46.5499617 12.1470616 2.930491e-02 1.738431e-02 [40,] 3.66342116 7.0294182 15.2160115 8.555352e-01 4.984026e-01 [41,] 10.95300809 48.8473197 0.8176742 2.201996e-01 2.808624e-02 [42,] 32.65414213 615.2700400 1.2416628 2.572310e-03 6.154584e-04 [43,] 3.89677070 30.9201450 4.6745093 1.203147e-01 2.860023e-02 [44,] 19.81539452 117.8198968 5.0032936 2.078849e+02 2.832545e+01 [45,] 13.87302392 304.4366853 0.6038472 4.438054e+00 6.013293e-01 [46,] 11.75363784 241.9119212 1.8343449 1.389619e-01 2.249354e-02 [47,] 6.59467556 80.2172745 1.4125437 3.620828e+00 6.018499e-01 [48,] 5.03541513 102.7159212 1.6075940 6.702935e+01 1.250538e+01 [49,] 5.79177975 140.0511873 1.1905213 1.723818e+00 2.310084e-01 [50,] 104.59774771 684.4994158 0.1841582 4.707184e-02 4.665308e-03 [51,] 6.42154600 64.8076064 1.0885176 7.150945e+00 1.301399e+00 [52,] 60.77708084 1226.1573067 1.0725284 2.470419e+00 2.203094e-01 [53,] 66.57712168 585.3091893 3.7336819 2.312026e-01 5.465156e-02 [54,] 16.86023960 88.5219277 0.6310446 8.905704e-01 1.623832e-01 [55,] 6.27202842 39.0967097 0.7076713 3.611545e+01 5.228074e+00 [56,] 58.91700620 446.8664238 0.1996731 4.940168e+00 4.993247e-01 [57,] 33.98383856 384.6450147 0.3375277 2.547720e-02 3.599686e-03 [58,] 3.74675153 107.4109817 1.3340243 1.401507e-02 1.144169e-03 [59,] 7.16929149 161.0791359 1.0029140 4.233353e+00 6.508448e-01 [60,] 26.39789963 953.8535679 0.7417621 5.423829e+01 8.222491e+00 > > clr(c(a=1,2,3)) a -0.59725316 0.09589402 0.50135913 attr(,"class") [1] "rmult" > ilr(c(a=1,2,3)) [1] 0.4901291 0.6140370 attr(,"class") [1] "rmult" > alr(c(a=1,2,3)) a v2 -1.0986123 -0.4054651 attr(,"class") [1] "rmult" > cpt(c(a=1,2,3)) a -0.1666667 0.0000000 0.1666667 attr(,"class") [1] "rmult" > ipt(c(a=1,2,3)) [1] 0.1178511 0.2041241 attr(,"class") [1] "rmult" > apt(c(a=1,2,3)) a 0.1666667 0.3333333 attr(,"class") [1] "rmult" > ilt(c(a=1,2,3)) a 0.0000000 0.6931472 1.0986123 attr(,"class") [1] "rmult" > iit(c(a=1,2,3)) a 1 2 3 attr(,"class") [1] "rmult" > checker( clrInv(clr(c(a=1,2,3))) , clo(c(1,2,3))) a 0.1666667 0.3333333 0.5000000 > checker( ilrInv(ilr(c(a=1,2,3))) , clo(c(1,2,3))) a 0.1666667 0.3333333 0.5000000 > checker( alrInv(alr(c(a=1,2,3))) , clo(c(1,2,3))) a 0.1666667 0.3333333 0.5000000 > checker( cptInv(cpt(c(a=1,2,3))) , clo(c(1,2,3))) a 0.1666667 0.3333333 0.5000000 > checker( iptInv(ipt(c(a=1,2,3))) , clo(c(1,2,3))) a 0.1666667 0.3333333 0.5000000 > checker( aptInv(apt(c(a=1,2,3))) , clo(c(1,2,3))) a 0.1666667 0.3333333 0.5000000 > checker( iltInv(ilt(c(a=1,2,3))) , c(1,2,3)) a 1 2 3 > checker( iitInv(iit(c(a=1,2,3))) , c(1,2,3)) a 1 2 3 > > # mean > > mean(acomp(cdata)) Cu Zn Pb Cd Co "0.141647429" "0.659658588" "0.190494272" "0.005344234" "0.002855477" attr(,"class") [1] "acomp" > mean(rcomp(cdata)) Cu Zn Pb Cd Co "0.10310773" "0.47060698" "0.37685703" "0.03476121" "0.01466705" attr(,"class") [1] "rcomp" > mean(aplus(cdata)) Cu Zn Pb Cd Co " 6.1194322" "28.4984768" " 8.2297065" " 0.2308808" " 0.1233619" attr(,"class") [1] "aplus" > mean(rplus(cdata)) Cu Zn Pb Cd Co " 13.183423" "121.515630" " 31.862701" " 6.996818" " 1.399201" attr(,"class") [1] "rplus" > > meanCol(cdata) Cu Zn Pb Cd Co 13.183423 121.515630 31.862701 6.996818 1.399201 > meanCol(clo(cdata)) Cu Zn Pb Cd Co 0.10310773 0.47060698 0.37685703 0.03476121 0.01466705 > clo(meanCol(cdata)) Cu Zn Pb Cd Co 0.075352028 0.694542619 0.182116519 0.039991467 0.007997366 > > # var (Variation Matrix) > var(rcomp(cdata)) Cu Zn Pb Cd Co Cu 0.0086158952 0.0071445448 -0.0144021930 -0.0009716387 -0.0003866083 Zn 0.0071445448 0.1113308671 -0.1150872974 -0.0003937445 -0.0029943701 Pb -0.0144021930 -0.1150872974 0.1391237554 -0.0101408745 0.0005066095 Cd -0.0009716387 -0.0003937445 -0.0101408745 0.0099446063 0.0015616514 Co -0.0003866083 -0.0029943701 0.0005066095 0.0015616514 0.0013127175 > var(acomp(cdata)) Cu Zn Pb Cd Co Cu 1.847791 1.765532 -0.4167800 -1.242313 -1.9542299 Zn 1.765532 2.601991 -1.6431277 -0.690601 -2.0337944 Pb -0.416780 -1.643128 5.6591193 -2.950540 -0.6486714 Cd -1.242313 -0.690601 -2.9505403 2.905275 1.9781794 Co -1.954230 -2.033794 -0.6486714 1.978179 2.6585162 > var(aplus(cdata)) Cu Zn Pb Cd Co Cu 1.8830068 2.02394925 -1.47147134 0.8405705 -0.22711621 Zn 2.0239493 3.08360877 -2.47461811 1.6154835 -0.08347976 Pb -1.4714713 -2.47461811 3.51452054 -1.9575641 -0.01146509 Cd 0.8405705 1.61548352 -1.95756414 7.0358261 5.75296062 Co -0.2271162 -0.08347976 -0.01146509 5.7529606 6.07752755 > var(rplus(cdata)) Cu Zn Pb Cd Co Cu 349.6810423 3437.90291 -269.78187 24.11394 -0.7558546 Zn 3437.9029094 57387.50949 -3357.26363 723.31989 64.1824056 Pb -269.7818731 -3357.26363 2553.59680 -197.98662 -26.9206203 Cd 24.1139377 723.31989 -197.98662 835.37631 116.0417177 Co -0.7558546 64.18241 -26.92062 116.04172 17.1630628 > > # clr > clr(mean(acomp(cdata))) Cu Zn Pb Cd Co 1.069353 2.607734 1.365634 -2.207970 -2.834750 attr(,"class") [1] "rmult" > meanCol(clr(cdata)) Cu Zn Pb Cd Co 1.069353 2.607734 1.365634 -2.207970 -2.834750 > clrInv(meanCol(clr(cdata))) Cu Zn Pb Cd Co "0.141647429" "0.659658588" "0.190494272" "0.005344234" "0.002855477" attr(,"class") [1] "acomp" > mean(acomp(cdata)) Cu Zn Pb Cd Co "0.141647429" "0.659658588" "0.190494272" "0.005344234" "0.002855477" attr(,"class") [1] "acomp" > > # ilr > ilr(mean(acomp(cdata))) [1] 1.0877999 -0.3861291 -3.3678663 -3.1693464 attr(,"class") [1] "rmult" > meanCol(ilr(cdata)) [1] 1.0877999 -0.3861291 -3.3678663 -3.1693464 > ilrInv(meanCol(ilr(cdata))) 1 2 3 4 5 "0.141647429" "0.659658588" "0.190494272" "0.005344234" "0.002855477" attr(,"class") [1] "acomp" > mean(acomp(cdata)) Cu Zn Pb Cd Co "0.141647429" "0.659658588" "0.190494272" "0.005344234" "0.002855477" attr(,"class") [1] "acomp" > > # alr > alr(mean(acomp(cdata))) Cu Zn Pb Cd 3.9041021 5.4424834 4.2003831 0.6267792 attr(,"class") [1] "rmult" > meanCol(alr(cdata)) Cu Zn Pb Cd 3.9041021 5.4424834 4.2003831 0.6267792 > alrInv(meanCol(alr(cdata))) Cu Zn Pb Cd "0.141647429" "0.659658588" "0.190494272" "0.005344234" "0.002855477" attr(,"class") [1] "acomp" > mean(acomp(cdata)) Cu Zn Pb Cd Co "0.141647429" "0.659658588" "0.190494272" "0.005344234" "0.002855477" attr(,"class") [1] "acomp" > > # Operations > mean(acomp(3 * (cdata - mean(acomp(cdata))))) Cu Zn Pb Cd Co " 0.2" " 0.2" " 0.2" " 0.2" " 0.2" attr(,"class") [1] "acomp" > > > # barplot > barplot(acomp(cdata[1:10,])) > barplot(rcomp(cdata[1:10,])) > barplot(aplus(cdata[1:10,])) > barplot(rplus(cdata[1:10,])) > > barplot(mean(acomp(cdata))) > barplot(mean(rcomp(cdata))) > barplot(mean(aplus(cdata))) > barplot(mean(rplus(cdata))) > > # piechart > pie(mean(acomp(cdata))) > pie(mean(rcomp(cdata))) > pie(mean(aplus(cdata))) > > > > # Triangular Diagrams > plot(acomp(cdata[,1:3])) > mean(acomp(cdata[,1:3])) Cu Zn Pb "0.1428185" "0.6651123" "0.1920692" attr(,"class") [1] "acomp" > plot(acomp(cdata),margin="rcomp",pca=TRUE) Warning in gsi.pltTrafo(d, "direction") : gsi.pltTrafo: Can not marginalise acomp direction with rcomp-marginals Warning in gsi.pltTrafo(d, "direction") : gsi.pltTrafo: Can not marginalise acomp direction with rcomp-marginals Warning in gsi.pltTrafo(d, "direction") : gsi.pltTrafo: Can not marginalise acomp direction with rcomp-marginals Warning in gsi.pltTrafo(d, "direction") : gsi.pltTrafo: Can not marginalise acomp direction with rcomp-marginals Warning in gsi.pltTrafo(d, "direction") : gsi.pltTrafo: Can not marginalise acomp direction with rcomp-marginals Warning in gsi.pltTrafo(d, "direction") : gsi.pltTrafo: Can not marginalise acomp direction with rcomp-marginals Warning in gsi.pltTrafo(d, "direction") : gsi.pltTrafo: Can not marginalise acomp direction with rcomp-marginals Warning in gsi.pltTrafo(d, "direction") : gsi.pltTrafo: Can not marginalise acomp direction with rcomp-marginals Warning in gsi.pltTrafo(d, "direction") : gsi.pltTrafo: Can not marginalise acomp direction with rcomp-marginals Warning in gsi.pltTrafo(d, "direction") : gsi.pltTrafo: Can not marginalise acomp direction with rcomp-marginals Warning in gsi.pltTrafo(d, "direction") : gsi.pltTrafo: Can not marginalise acomp direction with rcomp-marginals Warning in gsi.pltTrafo(d, "direction") : gsi.pltTrafo: Can not marginalise acomp direction with rcomp-marginals Warning in gsi.pltTrafo(d, "direction") : gsi.pltTrafo: Can not marginalise acomp direction with rcomp-marginals Warning in gsi.pltTrafo(d, "direction") : gsi.pltTrafo: Can not marginalise acomp direction with rcomp-marginals Warning in gsi.pltTrafo(d, "direction") : gsi.pltTrafo: Can not marginalise acomp direction with rcomp-marginals Warning in gsi.pltTrafo(d, "direction") : gsi.pltTrafo: Can not marginalise acomp direction with rcomp-marginals Warning in gsi.pltTrafo(d, "direction") : gsi.pltTrafo: Can not marginalise acomp direction with rcomp-marginals Warning in gsi.pltTrafo(d, "direction") : gsi.pltTrafo: Can not marginalise acomp direction with rcomp-marginals Warning in gsi.pltTrafo(d, "direction") : gsi.pltTrafo: Can not marginalise acomp direction with rcomp-marginals Warning in gsi.pltTrafo(d, "direction") : gsi.pltTrafo: Can not marginalise acomp direction with rcomp-marginals > plot(acomp(cdata),margin="acomp",pca=TRUE) > #plot(acomp(cdata),margin="Cd",pca=TRUE) # Bug!!! > mean(acomp(cdata)) Cu Zn Pb Cd Co "0.141647429" "0.659658588" "0.190494272" "0.005344234" "0.002855477" attr(,"class") [1] "acomp" > > boxplot(acomp(cdata)) # boxplotscale > boxplot(acomp(cdata),Land,notch=TRUE) # notch Warning in bxp(stats, add = TRUE, at = 1:lf, width = rep(1, lf), notch = notch) : some notches went outside hinges ('box'): maybe set notch=FALSE Warning in bxp(stats, add = TRUE, at = 1:lf, width = rep(1, lf), notch = notch) : some notches went outside hinges ('box'): maybe set notch=FALSE Warning in bxp(stats, add = TRUE, at = 1:lf, width = rep(1, lf), notch = notch) : some notches went outside hinges ('box'): maybe set notch=FALSE Warning in bxp(stats, add = TRUE, at = 1:lf, width = rep(1, lf), notch = notch) : some notches went outside hinges ('box'): maybe set notch=FALSE > #boxplot(acomp(cdata),Rock) > > boxplot(acomp(cdata),log=FALSE) > boxplot(acomp(cdata),Land,log=FALSE) > #boxplot(acomp(cdata),Rock,log=FALSE) > > boxplot(acomp(cdata),log=FALSE,ylim=c(0,5)) > boxplot(acomp(cdata),Land,log=FALSE,ylim=c(0,5)) > #boxplot(acomp(cdata),Rock,log=FALSE,ylim=c(0,5)) > > qqnorm(acomp(cdata),alpha=100) > qqnorm(acomp(cdata),alpha=0.05) > qqnorm(acomp(cdata[,-3]),alpha=0.05) > qqnorm(acomp(cdata[,-3]),alpha=0.05) > > #boxplot(acomp(cdata[,-1]),js$Cd) > plot(Land,data.matrix(cdata)%*% rep(1,ncol(cdata))) > > > # rcomp.plots > > boxplot(rcomp(cdata)) > boxplot(rcomp(cdata),Land) > #boxplot(rcomp)(cdata,Rock) > > qqnorm(rcomp(cdata)) > qqnorm(rcomp(cdata),alpha=0.05) > qqnorm(rcomp(cdata[,1:3]),alpha=0.05) > plot(acomp(cdata[,1:3])) > ellipses(mean(acomp(cdata[,1:3])), var(acomp(cdata,1:3)),col="red",r=2) > > ellipses(mean(rcomp(cdata[,1:3])), var(rcomp(cdata[,1:3])),col="blue",r=2) > > > plot(rplus(cdata[,1:2])) > ellipses(rplus(mean(rplus(cdata[,1:2]))), var(rplus(cdata[,1:2])),col="blue",r=2) > ellipses(aplus(mean(aplus(cdata[,1:2]))), var(aplus(cdata[,1:2])),col="red",r=2) > > plot(aplus(cdata[,1:2])) > ellipses(aplus(mean(aplus(cdata[,1:2]))), var(aplus(cdata[,1:2])),col="red",r=2) > ellipses(rplus(mean(rplus(cdata[,1:2]))), var(rplus(cdata[,1:2])),col="blue",r=2) > > > straight(acomp(c(1,1,1)),c(2,1,3)) > > > boxplot(rcomp(cdata[,-1]),cdata[,"Cd"]) > > # biplot, princomp > > biplot(princomp(cdata)) > biplot(princomp(acomp(cdata))) > biplot(princomp(rcomp(cdata))) > biplot(princomp(aplus(cdata)),choice=c(2,3)) > biplot(princomp(rplus(cdata)),choice=c(2,3)) > > summary(princomp(cdata)) Importance of components: Comp.1 Comp.2 Comp.3 Comp.4 Standard deviation 238.4225063 48.23571927 28.52016305 11.744718278 Proportion of Variance 0.9454633 0.03869793 0.01352864 0.002294222 Cumulative Proportion 0.9454633 0.98416122 0.99768986 0.999984083 Comp.5 Standard deviation 9.782767e-01 Proportion of Variance 1.591745e-05 Cumulative Proportion 1.000000e+00 > summary(princomp(acomp(cdata))) Importance of components: Comp.1 Comp.2 Comp.3 Comp.4 Standard deviation 2.8682301 2.6308756 0.56478717 0.45327390 Proportion of Variance 0.5249094 0.4416284 0.02035289 0.01310925 Cumulative Proportion 0.5249094 0.9665379 0.98689075 1.00000000 > summary(princomp(rcomp(cdata))) Importance of components: Comp.1 Comp.2 Comp.3 Comp.4 Standard deviation 0.4923727 0.13158041 0.09732249 0.03334499 Proportion of Variance 0.8968032 0.06404595 0.03503770 0.00411311 Cumulative Proportion 0.8968032 0.96084919 0.99588689 1.00000000 > summary(princomp(aplus(cdata))) Importance of components: Comp.1 Comp.2 Comp.3 Comp.4 Comp.5 Standard deviation 3.5980565 2.6323502 1.10248792 0.55006931 0.44850359 Proportion of Variance 0.5995053 0.3208813 0.05628656 0.01401173 0.00931513 Cumulative Proportion 0.5995053 0.9203866 0.97667314 0.99068487 1.00000000 > summary(princomp(rplus(cdata))) Importance of components: Comp.1 Comp.2 Comp.3 Comp.4 Standard deviation 240.4345462 48.64277897 28.76084380 11.843831582 Proportion of Variance 0.9454633 0.03869793 0.01352864 0.002294222 Cumulative Proportion 0.9454633 0.98416122 0.99768986 0.999984083 Comp.5 Standard deviation 9.865324e-01 Proportion of Variance 1.591745e-05 Cumulative Proportion 1.000000e+00 > > loadings(princomp(cdata)) Loadings: Comp.1 Comp.2 Comp.3 Comp.4 Comp.5 Cu 0.997 Zn 0.996 Pb -0.993 -0.100 Cd -0.985 -0.138 Co -0.137 0.990 Comp.1 Comp.2 Comp.3 Comp.4 Comp.5 SS loadings 1.0 1.0 1.0 1.0 1.0 Proportion Var 0.2 0.2 0.2 0.2 0.2 Cumulative Var 0.2 0.4 0.6 0.8 1.0 > loadings(princomp(acomp(cdata))) Loadings: Comp.1 Comp.2 Comp.3 Comp.4 Cu -0.209 0.435 0.748 Zn 0.591 -0.600 0.291 Pb -0.681 -0.514 -0.181 -0.199 Cd 0.580 -0.137 -0.662 Co 0.387 -0.438 0.170 0.655 Comp.1 Comp.2 Comp.3 Comp.4 SS loadings 1.0 1.0 1.0 1.0 Proportion Var 0.2 0.2 0.2 0.2 Cumulative Var 0.2 0.4 0.6 0.8 > loadings(princomp(rcomp(cdata))) Loadings: Comp.1 Comp.2 Comp.3 Comp.4 Cu -0.206 0.846 -0.193 Zn -0.660 0.557 -0.185 -0.141 Pb 0.748 0.448 -0.107 -0.169 Cd -0.651 -0.483 -0.377 Co -0.149 0.879 Comp.1 Comp.2 Comp.3 Comp.4 SS loadings 1.0 1.0 1.0 1.0 Proportion Var 0.2 0.2 0.2 0.2 Cumulative Var 0.2 0.4 0.6 0.8 > loadings(princomp(aplus(cdata))) Loadings: Comp.1 Comp.2 Comp.3 Comp.4 Comp.5 Cu 0.107 -0.410 -0.593 0.681 Zn 0.192 -0.576 -0.363 -0.673 0.215 Pb -0.220 0.571 -0.701 -0.257 -0.262 Cd 0.731 -0.671 Co 0.607 0.415 -0.134 0.657 Comp.1 Comp.2 Comp.3 Comp.4 Comp.5 SS loadings 1.0 1.0 1.0 1.0 1.0 Proportion Var 0.2 0.2 0.2 0.2 0.2 Cumulative Var 0.2 0.4 0.6 0.8 1.0 > loadings(princomp(rplus(cdata))) Loadings: Comp.1 Comp.2 Comp.3 Comp.4 Comp.5 Cu 0.997 Zn -0.996 Pb -0.993 -0.100 Cd -0.985 -0.138 Co -0.137 0.990 Comp.1 Comp.2 Comp.3 Comp.4 Comp.5 SS loadings 1.0 1.0 1.0 1.0 1.0 Proportion Var 0.2 0.2 0.2 0.2 0.2 Cumulative Var 0.2 0.4 0.6 0.8 1.0 > > > #names > meanCol(cdata[,1:3]) Cu Zn Pb 13.18342 121.51563 31.86270 > mean(acomp(cdata[,1:3])) Cu Zn Pb "0.1428185" "0.6651123" "0.1920692" attr(,"class") [1] "acomp" > oneOrDataset(c(a=1,b=2,c=3)) a b c [1,] 1 2 3 > > # covariance > cov(acomp(cd1),acomp(cd2)) Cd Co Cu 0.3970849 -0.3970849 Zn 0.7127232 -0.7127232 Pb -1.1098080 1.1098080 > cov(rcomp(cd1),rcomp(cd2)) Cd Co Cu 0.007426593 -0.007426593 Zn 0.077259942 -0.077259942 Pb -0.084686536 0.084686536 > cov(aplus(cd1),aplus(cd2)) Cd Co Cu 0.8405705 -0.22711621 Zn 1.6154835 -0.08347976 Pb -1.9575641 -0.01146509 > cov(rplus(cd1),rplus(cd2)) Cd Co Cu 24.11394 -0.7558546 Zn 723.31989 64.1824056 Pb -197.98662 -26.9206203 > > #tmp <- princov(acomp(cd1,cd2)) > #tmp > #plot(tmp) > #biplot(tmp) > > > tmp <- princomp(acomp(cdata)) > tmp Call: princomp.acomp(x = acomp(cdata)) Standard deviations: Comp.1 Comp.2 Comp.3 Comp.4 2.8682301 2.6308756 0.5647872 0.4532739 5 variables and 60 observations. Mean (compositional): Cu Zn Pb Cd Co "0.141647429" "0.659658588" "0.190494272" "0.005344234" "0.002855477" attr(,"class") [1] "acomp" +Loadings (compositional): Cu Zn Pb Cd Co Comp.1 "0.7375815" "0.8407088" "0.4599019" "1.6234982" "1.3383096" Comp.2 "1.3986249" "1.6353230" "0.5417362" "0.8401206" "0.5841953" Comp.3 "1.9028618" "0.4943567" "0.7510342" "0.7848020" "1.0669454" Comp.4 "0.8323051" "1.2127455" "0.7425769" "0.4672515" "1.7451211" attr(,"class") [1] "acomp" -Loadings (compositional): Cu Zn Pb Cd Co Comp.1 "1.1144401" "0.9777349" "1.787317" "0.5063081" "0.6142004" Comp.2 "0.5885192" "0.5033364" "1.519407" "0.9797612" "1.4089767" Comp.3 "0.4313718" "1.6604225" "1.092947" "1.0459210" "0.7693373" Comp.4 "0.9870999" "0.6774450" "1.106375" "1.7583002" "0.4707801" attr(,"class") [1] "acomp" > plot(tmp) > biplot(tmp) # Fehler !!! > biplot(tmp,ch=2:3) > > #pplot(acomp(cdata)) > > # Simulated data > > > > # Loading data > read.geoeas("TRUE.DAT") [1] "reading title:..." [1] "reading title: OK" [1] "reading number of variables:..." [1] "reading variables:..." Read 2 items [1] "reading dataset:..." [1] "reading dataset: OK" primary - Z or U secondary - Y or V 1 2.26 3.26 2 3.28 2.64 3 2.80 2.15 4 0.95 1.69 5 0.12 0.51 6 0.13 0.27 7 0.39 0.16 8 0.24 0.31 9 0.30 0.39 10 0.22 0.40 11 0.18 0.42 12 0.26 0.42 13 0.55 0.30 14 0.12 0.25 15 0.44 0.32 16 0.14 0.57 17 0.50 0.61 18 0.82 0.64 19 0.51 0.69 20 0.73 0.65 21 0.36 0.46 22 0.16 0.42 23 0.10 0.47 24 0.47 0.49 25 0.52 0.60 26 0.29 0.66 27 0.98 0.94 28 2.14 1.44 29 1.31 1.85 30 1.97 2.22 31 4.18 2.84 32 3.30 2.72 33 1.77 2.20 34 0.68 1.73 35 0.13 1.26 36 0.54 0.65 37 0.56 0.61 38 0.38 0.69 39 1.15 0.90 40 1.55 0.94 41 0.24 0.87 42 0.18 0.77 43 0.09 0.66 44 0.16 0.47 45 0.09 0.67 46 0.83 1.02 47 0.56 1.71 48 0.31 2.88 49 0.95 3.50 50 1.08 4.15 51 4.65 2.84 52 1.64 2.32 53 3.33 1.89 54 0.66 1.51 55 0.17 0.56 56 0.06 0.28 57 0.12 0.17 58 0.16 0.30 59 0.55 0.36 60 0.56 0.37 61 0.83 0.38 62 0.35 0.37 63 0.32 0.27 64 0.11 0.23 65 0.48 0.27 66 0.16 0.47 67 0.19 0.50 68 0.23 0.52 69 0.17 0.55 70 0.21 0.52 71 0.09 0.39 72 0.14 0.36 73 0.19 0.42 74 0.45 0.48 75 0.88 0.61 76 1.15 0.77 77 0.89 1.01 78 0.87 1.43 79 1.94 1.78 80 2.49 2.08 81 4.70 2.51 82 4.22 2.46 83 1.85 2.04 84 1.12 1.65 85 0.15 1.27 86 0.24 0.72 87 0.22 0.63 88 0.23 0.69 89 0.77 0.83 90 0.84 0.88 91 0.23 0.85 92 0.11 0.80 93 0.15 0.68 94 0.03 0.56 95 0.04 0.70 96 0.17 1.15 97 0.90 1.82 98 4.57 3.41 99 3.49 4.14 100 2.35 5.03 101 1.63 2.65 102 2.17 2.18 103 1.14 1.83 104 0.56 1.50 105 0.17 0.66 106 0.05 0.37 107 0.17 0.29 108 0.20 0.34 109 0.22 0.36 110 0.19 0.34 111 0.64 0.35 112 0.05 0.31 113 0.19 0.23 114 0.16 0.22 115 0.22 0.25 116 0.19 0.41 117 0.09 0.44 118 0.21 0.45 119 0.12 0.47 120 0.06 0.45 121 0.10 0.34 122 0.25 0.34 123 0.08 0.49 124 0.12 0.58 125 0.68 0.71 126 0.80 0.91 127 0.75 1.12 128 1.94 1.44 129 6.61 1.70 130 3.20 1.93 131 5.25 2.27 132 6.45 2.23 133 1.05 1.85 134 2.49 1.51 135 0.11 1.21 136 0.01 0.71 137 0.20 0.62 138 0.24 0.66 139 0.15 0.80 140 0.70 0.87 141 0.72 0.90 142 0.33 0.88 143 0.27 0.78 144 0.16 0.65 145 0.04 0.73 146 0.50 1.13 147 0.88 1.70 148 1.42 3.05 149 4.66 3.69 150 2.83 4.48 151 1.34 3.07 152 7.14 2.61 153 4.02 2.27 154 0.21 1.96 155 0.22 0.98 156 0.46 0.69 157 0.27 0.54 158 0.22 0.44 159 0.23 0.37 160 0.37 0.33 161 0.14 0.31 162 0.12 0.24 163 0.02 0.19 164 0.19 0.18 165 0.11 0.17 166 0.10 0.21 167 0.15 0.22 168 0.09 0.21 169 0.12 0.20 170 0.06 0.22 171 0.08 0.26 172 0.10 0.30 173 0.03 0.55 174 0.09 0.72 175 0.32 0.84 176 1.42 1.03 177 1.04 1.15 178 1.91 1.21 179 2.80 1.40 180 6.01 1.53 181 2.14 1.66 182 2.37 1.68 183 0.47 1.48 184 0.46 1.19 185 0.13 0.99 186 0.33 0.67 187 0.19 0.57 188 0.21 0.58 189 0.42 0.68 190 0.71 0.76 191 0.25 0.85 192 0.42 0.91 193 0.40 0.89 194 0.22 0.84 195 0.07 0.85 196 0.55 1.15 197 0.35 1.65 198 0.66 2.83 199 1.08 3.35 200 1.68 4.13 201 0.94 4.02 202 4.57 3.72 203 4.30 3.37 204 2.59 2.64 205 0.95 1.75 206 0.83 1.34 207 0.17 0.92 208 0.28 0.57 209 0.27 0.45 210 0.32 0.39 211 0.49 0.32 212 0.05 0.21 213 0.09 0.18 214 0.08 0.16 215 0.09 0.16 216 0.08 0.18 217 0.03 0.19 218 0.03 0.20 219 0.15 0.19 220 0.09 0.21 221 0.05 0.28 222 0.22 0.35 223 0.19 0.62 224 0.16 0.87 225 0.32 1.12 226 1.81 1.37 227 1.69 1.63 228 2.52 1.81 229 1.61 2.13 230 4.20 2.22 231 5.51 2.22 232 3.52 2.03 233 0.41 1.69 234 0.50 1.19 235 0.26 0.89 236 0.02 0.60 237 0.09 0.49 238 0.14 0.49 239 0.26 0.56 240 0.22 0.66 241 0.18 0.83 242 0.09 1.04 243 2.06 1.14 244 0.33 1.14 245 0.80 1.13 246 1.51 1.38 247 0.34 1.69 248 0.47 2.71 249 3.32 3.17 250 11.24 3.91 251 1.41 6.32 252 1.97 6.72 253 4.37 5.93 254 1.21 4.53 255 0.72 3.53 256 3.68 2.82 257 0.75 1.38 258 0.48 0.87 259 0.30 0.64 260 0.45 0.46 261 0.65 0.35 262 0.23 0.24 263 0.14 0.23 264 0.09 0.21 265 0.10 0.19 266 0.09 0.19 267 0.01 0.19 268 0.09 0.19 269 0.28 0.18 270 0.33 0.21 271 0.18 0.30 272 0.19 0.59 273 0.26 0.98 274 0.70 1.31 275 2.29 1.78 276 3.10 2.08 277 2.12 2.27 278 0.84 2.32 279 4.61 2.48 280 4.83 2.41 281 9.14 2.24 282 2.63 1.88 283 0.77 1.54 284 0.57 1.12 285 0.16 0.76 286 0.02 0.55 287 0.08 0.41 288 0.04 0.38 289 0.08 0.40 290 0.39 0.56 291 0.68 0.82 292 0.78 1.12 293 1.65 1.31 294 0.58 1.44 295 1.46 1.48 296 1.33 1.71 297 0.72 1.79 298 0.68 2.45 299 0.93 2.76 300 2.72 3.16 301 54.39 12.13 302 7.45 11.41 303 4.91 9.78 304 2.77 5.94 305 6.70 4.31 306 1.56 3.33 307 2.95 1.63 308 1.60 1.03 309 0.85 0.79 310 0.20 0.58 311 0.50 0.41 312 0.24 0.31 313 0.19 0.29 314 0.16 0.23 315 0.36 0.21 316 0.60 0.21 317 0.18 0.21 318 0.27 0.21 319 0.34 0.23 320 0.17 0.31 321 0.57 0.45 322 0.56 0.82 323 0.32 1.39 324 1.50 1.74 325 0.93 2.15 326 1.15 2.32 327 1.35 2.48 328 3.09 2.35 329 2.14 2.42 330 2.72 2.37 331 5.27 2.27 332 14.63 1.84 333 1.41 1.46 334 1.80 1.06 335 0.12 0.64 336 0.21 0.46 337 0.23 0.32 338 0.04 0.29 339 0.10 0.34 340 0.33 0.54 341 0.25 0.81 342 0.96 1.10 343 0.89 1.41 344 2.01 1.56 345 3.68 1.64 346 1.89 1.89 347 1.68 2.00 348 1.09 2.21 349 4.62 2.40 350 6.36 2.61 351 12.74 14.04 352 10.18 13.44 353 23.28 11.62 354 18.59 7.37 355 8.56 5.58 356 1.12 4.13 357 3.21 2.00 358 1.03 1.22 359 0.28 0.97 360 0.37 0.73 361 0.26 0.54 362 0.17 0.41 363 0.15 0.38 364 0.32 0.29 365 0.55 0.25 366 0.39 0.26 367 0.22 0.28 368 0.29 0.30 369 0.13 0.37 370 0.25 0.45 371 0.11 0.76 372 0.17 1.35 373 0.28 1.89 374 0.71 2.13 375 1.16 2.58 376 0.81 2.50 377 1.56 2.39 378 1.03 2.21 379 1.90 2.44 380 2.31 2.35 381 1.48 2.27 382 5.59 1.87 383 1.48 1.50 384 0.92 0.99 385 0.73 0.58 386 0.15 0.41 387 0.32 0.29 388 0.04 0.27 389 0.12 0.31 390 0.12 0.47 391 0.19 0.75 392 0.34 1.03 393 0.48 1.34 394 0.84 1.61 395 1.28 1.85 396 3.24 2.15 397 5.32 2.30 398 3.46 2.55 399 10.61 2.70 400 13.84 2.79 401 6.49 14.95 402 20.35 14.10 403 8.90 12.32 404 16.11 7.59 405 3.46 6.10 406 2.70 4.68 407 1.90 2.58 408 0.23 1.63 409 0.60 1.24 410 1.48 0.83 411 0.34 0.58 412 0.10 0.46 413 0.08 0.43 414 0.42 0.36 415 1.02 0.34 416 0.60 0.35 417 0.20 0.37 418 0.47 0.42 419 0.85 0.50 420 0.45 0.61 421 0.39 1.02 422 0.47 1.64 423 0.91 2.11 424 1.09 2.34 425 2.12 2.73 426 1.28 2.49 427 1.70 2.29 428 0.64 2.07 429 0.87 2.25 430 2.68 2.12 431 3.02 2.07 432 6.69 1.74 433 1.84 1.46 434 2.60 0.97 435 0.25 0.64 436 0.40 0.54 437 0.16 0.39 438 0.11 0.37 439 0.09 0.42 440 0.34 0.56 441 0.22 0.77 442 0.66 1.05 443 0.31 1.39 444 1.43 1.66 445 4.13 3.63 446 2.31 4.27 447 7.91 4.45 448 3.92 4.89 449 6.32 5.62 450 5.68 3.78 451 15.77 22.46 452 7.56 19.74 453 6.26 17.02 454 7.92 12.02 455 8.98 7.33 456 1.26 5.27 457 1.13 3.15 458 1.46 2.05 459 2.33 1.42 460 0.81 0.86 461 0.32 0.64 462 0.19 0.56 463 0.09 0.51 464 0.23 0.42 465 1.05 0.43 466 0.25 0.45 467 0.47 0.48 468 0.27 0.54 469 1.16 0.67 470 0.33 0.85 471 0.79 1.31 472 1.57 2.11 473 1.12 2.55 474 5.94 2.67 475 1.38 2.82 476 0.79 2.43 477 0.58 1.80 478 0.42 1.40 479 1.13 1.38 480 2.07 1.26 481 1.70 1.29 482 1.57 1.23 483 0.96 1.14 484 0.70 0.93 485 0.33 0.74 486 0.44 0.63 487 1.28 0.47 488 0.26 0.47 489 0.09 0.56 490 0.50 0.71 491 0.35 0.90 492 0.25 1.06 493 0.74 1.33 494 0.71 1.68 495 0.79 4.23 496 0.72 5.28 497 2.00 6.04 498 3.83 6.83 499 2.76 7.88 500 6.71 5.79 501 26.66 21.33 502 3.68 18.09 503 2.55 15.91 504 3.22 11.50 505 6.83 6.66 506 12.34 4.84 507 18.71 3.36 508 4.54 2.07 509 1.20 1.25 510 0.64 0.81 511 0.85 0.63 512 0.38 0.54 513 0.27 0.48 514 0.20 0.43 515 0.34 0.46 516 0.36 0.51 517 0.26 0.72 518 0.29 0.92 519 0.56 1.08 520 1.01 1.41 521 0.65 1.87 522 1.21 2.29 523 2.52 2.48 524 6.27 2.45 525 0.94 2.21 526 0.81 1.74 527 0.67 1.12 528 0.30 0.80 529 0.18 0.83 530 0.24 0.81 531 0.63 0.90 532 0.40 1.05 533 0.53 0.98 534 0.59 0.82 535 0.65 0.76 536 0.96 0.67 537 0.61 0.49 538 0.77 0.53 539 0.44 0.61 540 0.29 0.68 541 0.99 0.78 542 0.49 0.91 543 1.84 1.15 544 2.47 1.80 545 2.06 4.48 546 1.19 5.67 547 2.59 6.62 548 6.45 7.64 549 4.32 8.52 550 10.40 6.54 551 40.57 17.60 552 28.44 15.12 553 7.33 13.61 554 8.44 11.51 555 3.22 6.65 556 8.92 4.95 557 2.18 3.62 558 0.71 2.23 559 0.64 1.16 560 0.36 0.73 561 0.44 0.60 562 0.25 0.51 563 0.37 0.49 564 0.14 0.50 565 0.20 0.65 566 0.26 0.84 567 1.07 1.12 568 0.55 1.30 569 0.32 1.43 570 1.25 1.61 571 0.99 1.91 572 0.54 2.17 573 1.34 2.15 574 1.73 2.05 575 0.64 1.80 576 0.25 1.35 577 0.35 0.73 578 0.28 0.53 579 0.28 0.62 580 0.31 0.57 581 0.25 0.62 582 0.13 0.83 583 0.18 0.87 584 0.50 0.75 585 0.43 0.75 586 1.47 0.70 587 3.25 0.54 588 0.68 0.55 589 0.54 0.59 590 0.70 0.62 591 1.05 0.70 592 0.46 0.83 593 0.68 1.01 594 0.95 1.77 595 2.81 4.65 596 2.11 5.71 597 5.65 6.67 598 3.62 7.63 599 2.75 8.41 600 11.21 6.13 601 23.28 16.76 602 30.54 13.96 603 36.89 12.55 604 11.50 10.73 605 6.27 5.56 606 1.63 4.29 607 1.73 3.35 608 0.71 2.07 609 0.37 1.01 610 0.16 0.62 611 0.46 0.50 612 0.32 0.44 613 0.17 0.52 614 1.27 0.61 615 0.27 0.96 616 0.52 1.40 617 1.93 1.82 618 5.40 1.92 619 2.73 1.94 620 0.57 1.93 621 1.10 1.77 622 0.80 1.64 623 0.74 1.56 624 1.27 1.50 625 0.80 1.20 626 0.75 0.91 627 0.20 0.56 628 0.24 0.41 629 0.38 0.36 630 1.11 0.37 631 0.40 0.41 632 0.29 0.61 633 0.72 0.79 634 0.39 0.81 635 0.46 0.79 636 0.32 0.78 637 1.02 0.62 638 0.69 0.50 639 0.35 0.52 640 0.35 0.57 641 0.47 0.62 642 0.68 0.77 643 0.60 1.00 644 1.00 1.82 645 3.42 4.69 646 5.70 5.72 647 6.76 6.73 648 1.38 7.66 649 1.75 8.38 650 6.76 6.12 651 5.52 15.66 652 10.47 13.08 653 8.71 11.72 654 38.61 10.25 655 3.88 4.92 656 3.70 3.68 657 0.87 2.73 658 0.88 1.58 659 0.43 0.73 660 0.25 0.51 661 0.57 0.47 662 0.31 0.44 663 1.45 0.69 664 2.23 0.90 665 3.99 1.64 666 4.37 2.26 667 2.99 2.74 668 3.68 2.62 669 2.23 2.48 670 1.92 2.04 671 0.29 1.56 672 1.07 1.32 673 0.95 1.22 674 0.82 1.11 675 0.68 0.84 676 0.19 0.69 677 0.15 0.40 678 0.24 0.31 679 0.52 0.29 680 1.71 0.33 681 0.07 0.37 682 0.24 0.50 683 0.27 0.68 684 1.41 0.71 685 0.57 0.68 686 0.41 0.62 687 0.43 0.50 688 0.49 0.38 689 0.11 0.40 690 0.22 0.47 691 0.33 0.53 692 1.08 0.63 693 1.61 0.78 694 1.04 1.62 695 0.83 2.84 696 2.11 3.62 697 1.66 4.68 698 1.95 5.49 699 1.91 5.67 700 2.20 5.28 701 3.44 6.65 702 5.54 5.92 703 10.27 5.67 704 3.61 5.03 705 0.76 3.07 706 0.88 2.56 707 1.19 1.92 708 0.39 1.05 709 0.44 0.45 710 0.26 0.41 711 2.81 0.38 712 0.83 0.37 713 0.35 0.69 714 1.08 1.08 715 2.34 2.05 716 9.03 2.88 717 6.18 3.35 718 2.96 3.17 719 3.54 2.81 720 0.63 2.04 721 0.52 1.26 722 0.22 0.77 723 0.14 0.65 724 0.10 0.55 725 0.17 0.37 726 0.08 0.32 727 0.03 0.29 728 0.09 0.23 729 0.11 0.26 730 0.17 0.28 731 0.06 0.31 732 0.35 0.38 733 0.33 0.54 734 0.20 0.57 735 0.99 0.52 736 0.74 0.47 737 0.22 0.39 738 0.10 0.25 739 0.06 0.23 740 0.15 0.29 741 0.37 0.34 742 0.82 0.44 743 0.71 0.58 744 0.50 1.33 745 0.10 1.97 746 0.62 2.30 747 1.88 2.95 748 3.13 3.93 749 0.95 3.89 750 2.21 3.94 751 2.22 5.11 752 1.56 4.32 753 2.74 4.07 754 2.07 3.67 755 0.56 2.10 756 0.15 1.70 757 0.29 1.40 758 0.12 0.87 759 0.18 0.49 760 0.08 0.43 761 0.24 0.41 762 1.11 0.42 763 0.18 0.76 764 0.28 1.19 765 2.36 2.29 766 10.82 3.23 767 19.44 3.60 768 9.08 3.32 769 4.92 2.86 770 1.09 1.75 771 0.39 0.81 772 0.16 0.40 773 0.10 0.31 774 0.06 0.25 775 0.07 0.23 776 0.06 0.20 777 0.06 0.19 778 0.18 0.17 779 0.20 0.19 780 0.18 0.24 781 0.09 0.27 782 0.29 0.31 783 0.95 0.47 784 0.12 0.50 785 0.37 0.46 786 0.56 0.41 787 0.10 0.36 788 0.07 0.20 789 0.08 0.16 790 0.16 0.21 791 0.16 0.28 792 0.62 0.38 793 0.78 0.53 794 0.57 0.93 795 0.48 1.39 796 0.77 1.61 797 1.17 2.21 798 1.39 3.26 799 3.77 3.52 800 2.98 3.79 801 0.27 2.82 802 0.87 2.46 803 0.78 2.41 804 0.81 2.17 805 0.55 1.37 806 0.95 1.19 807 0.21 0.99 808 0.48 0.61 809 0.26 0.49 810 0.07 0.40 811 0.35 0.38 812 0.08 0.38 813 0.18 0.77 814 0.25 1.28 815 1.98 2.43 816 5.11 3.49 817 29.85 3.88 818 2.97 3.62 819 3.82 3.07 820 1.00 1.89 821 0.20 0.79 822 0.25 0.37 823 0.08 0.22 824 0.25 0.18 825 0.05 0.17 826 0.03 0.18 827 0.05 0.17 828 0.14 0.16 829 0.15 0.19 830 0.14 0.23 831 0.35 0.28 832 0.16 0.31 833 0.29 0.43 834 0.17 0.44 835 0.07 0.39 836 0.27 0.33 837 0.17 0.30 838 0.06 0.18 839 0.03 0.15 840 0.08 0.19 841 0.03 0.25 842 0.09 0.36 843 0.17 0.59 844 0.14 0.87 845 0.22 1.17 846 0.43 1.40 847 1.53 1.95 848 0.99 2.95 849 2.01 3.30 850 2.88 3.78 851 0.49 2.32 852 0.27 2.12 853 0.80 2.05 854 1.91 1.92 855 1.13 1.57 856 0.55 1.19 857 0.92 0.94 858 0.47 0.65 859 0.22 0.52 860 0.13 0.38 861 0.45 0.33 862 0.11 0.34 863 0.24 0.66 864 0.20 1.17 865 0.50 2.22 866 2.08 3.16 867 5.62 3.49 868 1.33 3.43 869 2.09 2.89 870 0.94 1.82 871 1.30 0.85 872 0.12 0.51 873 0.07 0.21 874 0.13 0.18 875 0.15 0.18 876 0.06 0.19 877 0.29 0.18 878 0.03 0.18 879 0.04 0.20 880 0.06 0.24 881 0.06 0.29 882 0.22 0.44 883 0.27 0.50 884 0.85 0.50 885 0.17 0.47 886 0.17 0.38 887 0.10 0.23 888 0.06 0.17 889 0.03 0.15 890 0.09 0.18 891 0.11 0.24 892 0.16 0.33 893 0.24 0.59 894 0.25 0.73 895 0.52 1.04 896 0.38 1.34 897 0.50 1.83 898 1.45 2.80 899 3.08 3.27 900 8.47 3.75 901 0.18 1.92 902 0.22 1.99 903 0.45 1.89 904 0.58 1.89 905 0.62 1.66 906 1.17 1.28 907 0.28 0.91 908 1.01 0.67 909 0.15 0.50 910 0.25 0.33 911 0.16 0.29 912 0.03 0.27 913 0.09 0.42 914 0.11 0.86 915 0.22 1.52 916 1.72 2.43 917 1.40 2.76 918 6.33 2.89 919 1.89 2.45 920 1.30 1.79 921 0.83 0.88 922 0.27 0.56 923 0.10 0.29 924 0.16 0.30 925 0.08 0.27 926 0.08 0.29 927 0.10 0.27 928 0.06 0.25 929 0.19 0.26 930 0.32 0.41 931 0.16 0.46 932 0.09 0.72 933 0.20 0.80 934 0.37 0.77 935 0.75 0.62 936 0.32 0.52 937 0.13 0.27 938 0.17 0.18 939 0.09 0.17 940 0.06 0.22 941 0.11 0.31 942 0.15 0.45 943 0.56 0.74 944 0.63 0.88 945 0.31 1.16 946 0.55 1.44 947 0.40 1.87 948 1.32 2.73 949 1.86 3.19 950 12.27 3.66 951 1.48 1.70 952 1.41 2.03 953 2.55 1.89 954 5.16 1.94 955 0.50 1.88 956 1.49 1.48 957 0.93 0.95 958 1.20 0.73 959 1.11 0.50 960 0.17 0.30 961 0.03 0.25 962 0.06 0.20 963 0.07 0.31 964 0.06 0.61 965 0.27 1.03 966 1.34 1.75 967 1.16 2.09 968 1.20 2.31 969 3.53 2.04 970 2.21 1.64 971 0.50 0.95 972 0.12 0.67 973 0.10 0.37 974 0.60 0.41 975 0.15 0.41 976 0.04 0.40 977 0.06 0.37 978 0.14 0.39 979 0.14 0.41 980 0.48 0.57 981 0.24 0.74 982 0.41 1.07 983 0.83 1.11 984 1.28 1.08 985 0.41 0.90 986 0.33 0.67 987 0.12 0.35 988 0.15 0.24 989 0.12 0.20 990 0.14 0.24 991 0.06 0.35 992 0.15 0.50 993 0.41 0.81 994 0.99 0.94 995 0.63 1.22 996 0.50 1.50 997 1.55 1.84 998 4.03 2.22 999 5.86 2.55 1000 1.83 2.78 1001 0.38 1.69 1002 6.70 2.05 1003 6.30 1.92 1004 3.19 2.00 1005 8.08 1.91 1006 3.28 1.51 1007 0.68 0.95 1008 0.48 0.69 1009 0.48 0.44 1010 0.19 0.25 1011 0.03 0.18 1012 0.05 0.12 1013 0.11 0.21 1014 0.04 0.46 1015 0.06 0.73 1016 0.70 1.35 1017 1.79 1.61 1018 3.83 1.84 1019 5.60 1.64 1020 2.17 1.41 1021 0.84 0.87 1022 0.27 0.68 1023 0.10 0.44 1024 0.17 0.51 1025 0.26 0.53 1026 0.53 0.56 1027 0.15 0.54 1028 0.16 0.59 1029 0.42 0.59 1030 0.13 0.81 1031 0.54 0.96 1032 1.20 1.27 1033 0.88 1.27 1034 0.92 1.21 1035 0.58 0.95 1036 0.34 0.68 1037 0.22 0.36 1038 0.05 0.25 1039 0.17 0.22 1040 0.13 0.28 1041 0.08 0.44 1042 1.06 0.62 1043 0.62 0.97 1044 0.37 1.13 1045 0.77 1.46 1046 0.79 1.67 1047 3.03 1.79 1048 3.21 1.76 1049 1.12 1.93 1050 2.27 1.88 1051 1.37 1.71 1052 4.64 2.11 1053 12.39 1.98 1054 5.26 2.05 1055 1.75 1.89 1056 1.47 1.49 1057 1.09 0.88 1058 0.86 0.62 1059 0.39 0.37 1060 0.13 0.22 1061 0.14 0.15 1062 0.04 0.11 1063 0.43 0.14 1064 0.01 0.32 1065 0.33 0.48 1066 0.67 0.87 1067 2.03 1.06 1068 1.49 1.31 1069 2.29 1.21 1070 0.32 1.16 1071 0.66 0.92 1072 0.28 0.81 1073 0.14 0.62 1074 0.41 0.74 1075 1.06 0.72 1076 0.17 0.71 1077 0.46 0.83 1078 0.56 0.96 1079 0.30 0.95 1080 0.71 1.17 1081 1.48 1.29 1082 0.73 1.47 1083 0.68 1.36 1084 0.43 1.25 1085 0.70 0.96 1086 0.27 0.70 1087 0.09 0.36 1088 0.08 0.24 1089 0.11 0.22 1090 0.28 0.30 1091 0.10 0.48 1092 0.27 0.70 1093 0.38 0.95 1094 0.34 1.09 1095 3.00 1.33 1096 0.67 1.53 1097 1.09 1.51 1098 1.19 1.54 1099 4.91 1.68 1100 1.68 1.64 1101 1.63 0.81 1102 0.74 1.31 1103 1.75 1.29 1104 1.60 1.42 1105 2.01 1.37 1106 2.34 1.25 1107 0.53 0.73 1108 0.33 0.51 1109 0.26 0.29 1110 0.22 0.21 1111 0.26 0.19 1112 0.22 0.18 1113 0.28 0.22 1114 0.08 0.33 1115 0.56 0.41 1116 1.33 0.66 1117 1.50 0.78 1118 1.79 0.92 1119 0.63 0.88 1120 0.92 0.96 1121 0.44 0.86 1122 0.39 0.83 1123 0.10 0.80 1124 0.22 1.06 1125 0.61 0.99 1126 0.59 1.00 1127 1.05 1.12 1128 0.93 1.25 1129 0.40 1.09 1130 0.78 1.30 1131 1.38 1.37 1132 0.16 1.38 1133 0.20 1.19 1134 0.78 1.06 1135 1.23 0.77 1136 0.55 0.53 1137 0.19 0.30 1138 0.21 0.22 1139 0.14 0.20 1140 0.16 0.29 1141 0.29 0.46 1142 0.75 0.69 1143 1.54 0.93 1144 0.69 1.06 1145 2.26 1.18 1146 0.93 1.29 1147 1.53 1.28 1148 2.78 1.41 1149 2.95 1.53 1150 2.87 1.62 1151 0.66 0.59 1152 0.80 0.90 1153 1.52 0.88 1154 1.38 0.99 1155 0.60 0.96 1156 0.67 0.86 1157 0.24 0.53 1158 0.32 0.41 1159 0.29 0.26 1160 0.07 0.27 1161 0.11 0.31 1162 0.14 0.35 1163 0.93 0.38 1164 0.72 0.45 1165 0.76 0.50 1166 0.87 0.57 1167 3.10 0.61 1168 3.41 0.76 1169 0.47 0.78 1170 1.82 0.83 1171 0.95 0.91 1172 0.46 0.99 1173 0.56 0.96 1174 0.90 1.19 1175 1.31 1.27 1176 1.05 1.28 1177 0.79 1.40 1178 0.82 1.51 1179 3.85 1.34 1180 1.14 1.27 1181 0.60 1.25 1182 0.18 1.15 1183 0.46 0.92 1184 0.39 0.84 1185 0.73 0.68 1186 0.26 0.47 1187 0.20 0.30 1188 0.12 0.25 1189 0.05 0.21 1190 0.08 0.27 1191 0.46 0.45 1192 0.39 0.63 1193 0.69 0.82 1194 0.90 0.90 1195 2.02 0.96 1196 0.55 0.98 1197 0.64 0.99 1198 1.18 1.16 1199 1.46 1.27 1200 1.24 1.41 1201 0.23 0.38 1202 0.33 0.50 1203 0.57 0.50 1204 0.09 0.56 1205 0.33 0.52 1206 0.68 0.50 1207 0.74 0.39 1208 0.48 0.41 1209 0.35 0.41 1210 0.94 0.50 1211 0.44 0.58 1212 0.36 0.63 1213 0.47 0.60 1214 0.84 0.60 1215 0.28 0.61 1216 0.66 0.62 1217 0.47 0.63 1218 1.09 0.72 1219 1.19 0.75 1220 1.10 0.84 1221 1.74 0.98 1222 1.29 1.09 1223 0.98 1.39 1224 3.04 1.66 1225 1.44 1.72 1226 3.15 1.75 1227 1.11 1.84 1228 0.87 1.60 1229 3.08 1.34 1230 1.58 1.20 1231 0.38 1.00 1232 0.46 0.86 1233 0.28 0.69 1234 0.51 0.64 1235 0.41 0.54 1236 0.38 0.48 1237 0.13 0.35 1238 0.03 0.33 1239 0.02 0.31 1240 0.22 0.36 1241 0.32 0.56 1242 0.61 0.73 1243 2.20 0.92 1244 1.90 0.97 1245 0.71 1.01 1246 1.04 0.93 1247 0.67 0.94 1248 2.20 1.05 1249 1.90 1.15 1250 0.49 1.27 1251 0.16 0.31 1252 0.25 0.35 1253 0.19 0.33 1254 0.16 0.33 1255 0.12 0.33 1256 0.12 0.34 1257 0.11 0.36 1258 0.17 0.53 1259 0.17 0.82 1260 0.41 1.12 1261 0.60 1.23 1262 1.14 1.24 1263 0.56 1.12 1264 0.87 0.90 1265 0.34 0.70 1266 0.37 0.64 1267 1.63 0.64 1268 1.76 0.72 1269 0.93 0.75 1270 1.50 0.91 1271 1.15 1.14 1272 1.64 1.29 1273 1.39 1.65 1274 1.52 1.95 1275 3.94 2.01 1276 4.89 2.10 1277 0.58 2.13 1278 2.30 1.81 1279 1.24 1.50 1280 1.13 1.20 1281 0.55 0.87 1282 0.88 0.77 1283 0.42 0.70 1284 1.54 0.73 1285 0.39 0.85 1286 0.33 0.82 1287 0.25 0.81 1288 0.14 0.78 1289 0.41 0.82 1290 1.57 0.74 1291 1.37 0.99 1292 1.77 0.98 1293 0.72 1.08 1294 1.10 1.07 1295 1.16 1.06 1296 0.55 0.89 1297 0.86 0.92 1298 1.14 1.04 1299 0.94 1.07 1300 0.55 1.22 1301 0.08 0.20 1302 0.06 0.20 1303 0.09 0.20 1304 0.14 0.23 1305 0.24 0.27 1306 0.38 0.35 1307 0.52 0.65 1308 0.31 1.22 1309 0.36 1.65 1310 0.49 2.02 1311 1.62 2.27 1312 1.72 2.08 1313 0.27 1.57 1314 0.40 1.17 1315 0.49 0.84 1316 0.27 0.57 1317 1.26 0.54 1318 0.39 0.60 1319 0.34 0.65 1320 1.39 0.84 1321 0.73 1.17 1322 0.75 1.45 1323 1.72 1.88 1324 0.64 2.16 1325 0.58 2.24 1326 1.54 2.33 1327 3.58 2.11 1328 2.04 1.70 1329 0.96 1.41 1330 0.73 1.08 1331 1.46 0.67 1332 0.45 0.74 1333 0.62 0.85 1334 2.44 1.15 1335 0.95 1.44 1336 0.33 1.46 1337 0.94 1.56 1338 0.96 1.58 1339 0.83 1.47 1340 0.84 1.53 1341 1.28 1.87 1342 2.13 1.80 1343 1.33 1.73 1344 1.28 1.63 1345 0.81 1.32 1346 3.47 0.94 1347 1.85 0.88 1348 1.03 0.89 1349 0.63 0.86 1350 0.63 0.95 1351 0.05 0.20 1352 0.17 0.19 1353 0.27 0.21 1354 0.31 0.25 1355 0.50 0.32 1356 1.09 0.45 1357 2.53 1.01 1358 1.73 2.17 1359 3.10 3.03 1360 5.59 3.65 1361 19.07 4.35 1362 6.58 3.96 1363 0.90 2.88 1364 0.32 2.04 1365 0.16 1.43 1366 1.02 0.65 1367 0.93 0.56 1368 0.46 0.56 1369 0.78 0.60 1370 0.28 0.75 1371 1.05 1.16 1372 3.02 1.49 1373 1.50 2.00 1374 1.36 2.64 1375 0.93 2.83 1376 0.94 2.90 1377 4.54 2.62 1378 0.58 2.16 1379 0.91 1.53 1380 0.71 1.15 1381 1.44 0.72 1382 2.12 0.88 1383 0.94 1.22 1384 3.05 2.52 1385 1.47 4.71 1386 1.30 4.95 1387 4.30 5.14 1388 3.03 4.98 1389 3.62 3.95 1390 2.29 2.16 1391 2.05 2.33 1392 1.56 2.23 1393 2.79 2.13 1394 2.12 1.97 1395 0.91 1.60 1396 1.05 1.12 1397 0.36 0.83 1398 0.23 0.69 1399 0.13 0.54 1400 0.38 0.53 1401 0.02 0.23 1402 0.09 0.24 1403 0.31 0.30 1404 0.33 0.41 1405 0.37 0.51 1406 2.09 0.70 1407 1.88 1.31 1408 2.26 2.60 1409 3.41 3.64 1410 9.27 4.40 1411 1.68 5.21 1412 8.19 4.97 1413 3.68 3.79 1414 1.37 2.72 1415 0.17 1.90 1416 0.29 0.96 1417 0.32 0.64 1418 0.17 0.53 1419 0.28 0.57 1420 0.20 0.75 1421 0.47 1.17 1422 1.16 1.51 1423 1.32 2.12 1424 2.27 2.91 1425 2.65 3.04 1426 1.83 3.05 1427 1.18 2.76 1428 1.11 2.23 1429 0.70 1.50 1430 1.04 1.31 1431 2.76 0.98 1432 1.40 1.20 1433 1.97 1.78 1434 1.43 3.75 1435 1.90 6.47 1436 2.42 7.09 1437 5.75 7.50 1438 2.70 7.18 1439 0.57 5.55 1440 1.19 3.13 1441 3.67 3.06 1442 2.16 2.87 1443 6.44 2.75 1444 3.63 2.46 1445 2.15 2.15 1446 0.71 1.57 1447 0.27 1.13 1448 0.27 0.95 1449 0.06 0.87 1450 0.26 0.80 1451 0.08 0.27 1452 0.17 0.31 1453 0.18 0.46 1454 0.32 0.65 1455 0.26 0.78 1456 1.26 1.03 1457 1.61 2.10 1458 3.44 3.37 1459 9.01 4.38 1460 8.03 5.21 1461 2.52 6.19 1462 3.04 5.59 1463 2.16 4.57 1464 0.89 3.45 1465 0.46 2.52 1466 0.32 1.35 1467 0.37 0.91 1468 0.69 0.57 1469 0.57 0.70 1470 1.54 0.88 1471 0.61 1.23 1472 0.67 1.57 1473 1.46 1.93 1474 10.91 2.78 1475 12.55 3.14 1476 3.56 3.19 1477 1.15 2.93 1478 1.84 2.65 1479 1.09 1.80 1480 0.68 1.46 1481 1.95 1.21 1482 1.46 1.49 1483 2.37 2.21 1484 2.28 4.28 1485 6.30 7.59 1486 14.78 10.61 1487 6.61 11.61 1488 10.97 11.20 1489 2.68 9.57 1490 1.71 6.61 1491 22.46 4.16 1492 2.50 3.43 1493 5.71 3.34 1494 3.59 2.96 1495 1.37 2.67 1496 1.21 2.07 1497 0.62 1.68 1498 0.53 1.45 1499 0.44 1.46 1500 0.82 1.35 1501 0.03 0.29 1502 0.15 0.37 1503 0.46 0.53 1504 0.62 0.79 1505 0.65 1.06 1506 1.00 1.49 1507 2.40 2.63 1508 2.70 4.05 1509 7.55 4.96 1510 3.56 5.84 1511 8.06 7.11 1512 2.46 6.52 1513 3.63 5.50 1514 3.98 4.50 1515 2.27 3.41 1516 1.39 1.80 1517 0.43 1.26 1518 0.24 0.82 1519 0.53 0.89 1520 0.36 1.04 1521 0.73 1.37 1522 0.47 1.73 1523 1.21 2.16 1524 1.38 3.33 1525 3.18 3.81 1526 2.47 3.79 1527 1.45 3.49 1528 1.73 3.08 1529 0.79 1.88 1530 1.20 1.44 1531 0.57 1.32 1532 2.97 1.67 1533 2.62 2.54 1534 1.52 4.77 1535 3.79 8.82 1536 4.96 12.09 1537 14.08 13.02 1538 14.41 12.43 1539 16.61 10.58 1540 7.94 7.09 1541 4.39 4.44 1542 1.20 3.74 1543 3.94 3.74 1544 5.11 3.46 1545 1.96 3.19 1546 1.19 3.23 1547 0.56 3.36 1548 2.24 3.24 1549 1.40 3.60 1550 1.87 3.79 1551 0.09 0.37 1552 0.18 0.45 1553 0.47 0.61 1554 0.75 0.95 1555 0.57 1.24 1556 1.00 1.68 1557 3.37 2.69 1558 4.15 4.04 1559 23.36 5.07 1560 6.94 5.99 1561 7.36 7.32 1562 3.39 7.04 1563 5.12 7.33 1564 2.39 6.31 1565 1.09 5.30 1566 0.33 3.65 1567 1.49 2.91 1568 0.44 1.22 1569 0.91 1.17 1570 0.61 1.31 1571 0.75 1.87 1572 0.80 2.49 1573 3.05 3.16 1574 1.68 4.37 1575 1.34 4.89 1576 7.09 4.57 1577 8.41 4.10 1578 1.87 3.37 1579 1.17 2.10 1580 1.47 1.50 1581 0.91 1.43 1582 1.78 1.76 1583 1.11 2.69 1584 1.98 4.97 1585 5.51 9.09 1586 8.48 12.78 1587 34.06 14.27 1588 12.68 13.60 1589 18.64 11.79 1590 8.34 8.02 1591 2.51 4.96 1592 1.36 3.61 1593 8.56 3.74 1594 7.04 3.67 1595 16.72 3.72 1596 3.47 4.25 1597 2.38 4.50 1598 3.90 4.50 1599 4.84 4.80 1600 1.27 5.14 1601 0.87 0.63 1602 0.31 0.67 1603 0.41 0.80 1604 0.37 1.07 1605 1.06 1.31 1606 1.22 1.71 1607 5.26 2.48 1608 9.50 3.39 1609 18.11 4.03 1610 10.68 4.87 1611 26.42 5.87 1612 7.72 5.99 1613 4.91 6.80 1614 2.50 6.34 1615 3.35 5.53 1616 3.96 4.22 1617 1.56 3.39 1618 0.78 1.70 1619 0.48 1.48 1620 1.17 1.58 1621 2.08 2.38 1622 0.95 2.99 1623 3.45 4.27 1624 1.02 5.56 1625 2.02 6.20 1626 3.39 5.56 1627 13.70 5.03 1628 1.71 3.61 1629 0.74 2.25 1630 1.33 1.64 1631 1.85 1.65 1632 1.42 2.02 1633 1.01 2.83 1634 2.76 4.38 1635 9.42 6.76 1636 18.76 10.76 1637 5.26 12.40 1638 16.93 12.03 1639 6.30 11.00 1640 2.28 9.32 1641 4.66 5.93 1642 2.43 4.25 1643 4.72 4.24 1644 2.45 4.05 1645 2.45 3.82 1646 3.87 4.46 1647 8.47 4.99 1648 34.84 4.96 1649 8.66 5.42 1650 8.92 5.62 1651 0.96 1.02 1652 0.51 0.99 1653 0.40 1.01 1654 1.10 1.10 1655 0.67 1.26 1656 3.24 1.54 1657 2.38 2.22 1658 4.56 3.01 1659 2.83 3.51 1660 6.17 4.64 1661 11.00 5.64 1662 6.58 5.76 1663 1.85 6.92 1664 3.28 6.74 1665 7.57 5.88 1666 2.52 4.88 1667 1.45 4.16 1668 0.93 2.31 1669 0.70 2.01 1670 1.03 2.21 1671 5.41 2.87 1672 10.15 3.45 1673 9.15 4.94 1674 6.70 6.47 1675 2.88 7.20 1676 4.92 6.57 1677 4.22 6.13 1678 2.24 4.50 1679 1.01 2.87 1680 1.62 1.78 1681 2.11 1.68 1682 2.79 1.92 1683 1.82 2.53 1684 4.02 3.62 1685 9.41 5.51 1686 2.82 9.21 1687 2.38 10.72 1688 13.35 10.57 1689 11.21 9.94 1690 3.61 8.84 1691 5.49 5.52 1692 4.91 3.80 1693 1.61 3.72 1694 2.94 3.65 1695 1.27 3.36 1696 2.20 4.19 1697 5.23 4.91 1698 4.50 4.98 1699 3.50 5.42 1700 2.14 5.74 1701 1.15 1.21 1702 0.55 1.10 1703 1.20 1.01 1704 1.54 0.95 1705 1.71 1.03 1706 1.49 1.22 1707 0.46 1.41 1708 0.63 2.16 1709 0.94 2.64 1710 1.59 3.70 1711 5.27 4.60 1712 4.68 5.16 1713 1.78 6.25 1714 8.71 6.23 1715 8.68 5.55 1716 2.69 4.83 1717 2.41 4.21 1718 1.36 2.58 1719 2.04 2.16 1720 3.68 2.37 1721 3.73 3.04 1722 2.84 3.66 1723 21.14 5.24 1724 10.48 6.68 1725 14.25 7.27 1726 6.72 6.63 1727 1.35 6.39 1728 1.82 4.73 1729 1.01 3.28 1730 0.91 2.22 1731 1.52 2.02 1732 1.58 1.96 1733 1.39 2.36 1734 1.88 3.49 1735 18.06 4.80 1736 15.67 6.03 1737 5.05 7.07 1738 4.09 7.04 1739 4.30 6.25 1740 7.79 5.61 1741 3.28 4.58 1742 0.88 3.32 1743 2.33 3.15 1744 0.87 3.18 1745 1.48 2.85 1746 3.35 3.79 1747 3.81 4.44 1748 6.67 4.67 1749 4.54 5.05 1750 2.35 5.51 1751 2.49 1.23 1752 1.00 1.09 1753 0.40 0.98 1754 0.92 0.84 1755 1.09 0.74 1756 0.50 0.70 1757 0.16 0.77 1758 0.79 1.32 1759 0.51 1.76 1760 2.92 2.57 1761 1.75 3.21 1762 1.19 3.86 1763 0.84 5.04 1764 1.19 5.17 1765 2.84 4.91 1766 2.18 4.86 1767 1.04 4.35 1768 2.41 2.83 1769 2.97 2.40 1770 5.51 2.60 1771 4.84 3.07 1772 6.61 3.68 1773 3.94 5.18 1774 4.77 6.39 1775 8.84 6.86 1776 8.23 6.22 1777 2.73 6.10 1778 1.34 4.66 1779 0.77 3.55 1780 2.26 2.64 1781 3.92 2.39 1782 3.08 2.19 1783 2.33 2.30 1784 14.65 3.09 1785 6.55 3.60 1786 11.41 4.60 1787 5.26 5.49 1788 18.76 5.67 1789 3.59 4.99 1790 4.20 4.88 1791 3.42 3.93 1792 2.00 2.71 1793 1.93 2.37 1794 3.20 2.33 1795 4.27 1.99 1796 2.71 2.44 1797 2.51 2.64 1798 2.94 2.87 1799 2.79 3.00 1800 4.55 3.21 1801 0.40 1.23 1802 1.30 1.05 1803 0.35 0.92 1804 0.24 0.65 1805 0.43 0.50 1806 0.56 0.39 1807 0.31 0.39 1808 0.28 0.62 1809 0.15 0.83 1810 0.59 1.56 1811 0.54 2.19 1812 0.57 2.85 1813 0.68 3.19 1814 1.53 3.51 1815 2.07 3.37 1816 1.13 3.75 1817 2.27 3.34 1818 4.04 3.00 1819 5.07 2.72 1820 7.21 2.89 1821 9.70 2.64 1822 3.17 2.85 1823 8.80 4.02 1824 7.23 5.27 1825 19.39 5.71 1826 15.53 5.59 1827 5.32 6.05 1828 3.24 5.05 1829 8.43 4.03 1830 6.63 3.26 1831 5.09 2.93 1832 4.29 2.49 1833 6.41 2.45 1834 7.71 2.82 1835 11.42 3.05 1836 15.16 3.52 1837 8.75 3.73 1838 3.64 3.86 1839 5.31 3.29 1840 2.22 3.23 1841 2.71 2.57 1842 1.11 1.95 1843 0.39 1.62 1844 1.14 1.45 1845 1.09 1.12 1846 0.63 1.25 1847 0.46 1.49 1848 1.05 1.65 1849 1.17 1.86 1850 6.77 1.94 1851 0.56 0.99 1852 1.53 0.85 1853 0.80 0.73 1854 0.46 0.50 1855 0.32 0.35 1856 0.16 0.24 1857 0.06 0.22 1858 0.09 0.31 1859 0.15 0.48 1860 0.24 1.04 1861 0.36 1.59 1862 1.10 2.13 1863 0.50 2.55 1864 1.03 2.74 1865 1.54 2.76 1866 2.57 3.35 1867 2.61 3.04 1868 18.31 2.79 1869 5.25 2.66 1870 14.12 2.80 1871 6.01 2.14 1872 1.96 2.28 1873 1.45 2.71 1874 2.41 3.49 1875 3.90 3.85 1876 15.12 4.40 1877 5.33 6.03 1878 3.77 6.00 1879 5.39 6.04 1880 12.10 5.33 1881 1.98 4.67 1882 4.01 3.08 1883 3.21 2.75 1884 2.45 2.24 1885 1.97 2.27 1886 4.88 2.15 1887 4.42 2.14 1888 6.22 2.13 1889 9.08 1.68 1890 1.66 1.35 1891 1.06 1.15 1892 0.89 0.84 1893 0.15 0.67 1894 0.18 0.69 1895 0.62 0.68 1896 0.56 0.82 1897 0.59 0.99 1898 3.62 1.16 1899 2.21 1.26 1900 4.77 1.53 1901 0.61 0.88 1902 0.70 0.74 1903 0.28 0.63 1904 0.34 0.51 1905 0.12 0.36 1906 0.24 0.20 1907 0.26 0.19 1908 0.10 0.26 1909 0.43 0.37 1910 0.53 0.47 1911 0.24 0.86 1912 0.26 1.25 1913 0.46 1.45 1914 1.18 1.67 1915 0.48 2.04 1916 2.07 2.59 1917 1.95 2.44 1918 12.17 2.41 1919 1.64 2.35 1920 2.15 2.30 1921 1.68 1.63 1922 1.68 1.74 1923 2.06 1.85 1924 1.24 2.34 1925 2.15 2.80 1926 2.17 3.48 1927 3.56 5.43 1928 2.33 5.97 1929 7.73 6.48 1930 7.85 6.14 1931 3.89 5.63 1932 7.96 3.81 1933 4.22 3.22 1934 1.43 2.23 1935 1.79 2.03 1936 0.93 1.67 1937 3.20 1.49 1938 6.17 1.37 1939 2.56 1.15 1940 3.51 0.87 1941 1.50 0.78 1942 0.32 0.58 1943 0.22 0.48 1944 0.29 0.51 1945 0.27 0.51 1946 0.09 0.62 1947 0.48 0.74 1948 0.81 0.86 1949 1.01 0.91 1950 1.32 1.12 1951 1.48 0.92 1952 0.92 0.81 1953 2.07 0.71 1954 0.75 0.60 1955 0.22 0.43 1956 0.53 0.30 1957 0.19 0.26 1958 0.18 0.29 1959 0.10 0.36 1960 0.20 0.41 1961 0.08 0.69 1962 0.19 1.02 1963 0.26 1.26 1964 0.99 1.53 1965 0.48 2.03 1966 1.31 2.60 1967 1.55 2.59 1968 1.95 2.56 1969 1.98 2.56 1970 2.51 2.33 1971 0.57 1.65 1972 1.89 1.58 1973 0.86 1.50 1974 0.37 1.88 1975 1.32 2.22 1976 3.16 2.99 1977 2.55 5.09 1978 6.55 7.30 1979 46.53 8.53 1980 7.98 8.61 1981 18.98 8.20 1982 2.70 6.27 1983 3.84 4.18 1984 2.89 2.31 1985 4.41 1.81 1986 1.67 1.29 1987 1.07 1.02 1988 0.55 0.83 1989 0.53 0.80 1990 0.86 0.58 1991 0.37 0.54 1992 0.85 0.38 1993 0.30 0.32 1994 0.24 0.33 1995 0.51 0.35 1996 0.50 0.43 1997 0.43 0.59 1998 0.65 0.70 1999 0.83 0.75 2000 0.95 0.90 2001 1.03 1.54 2002 1.63 1.33 2003 1.52 1.17 2004 0.77 0.80 2005 0.78 0.56 2006 0.49 0.42 2007 0.10 0.33 2008 0.20 0.27 2009 0.10 0.28 2010 0.13 0.30 2011 0.11 0.54 2012 0.24 0.82 2013 0.46 1.14 2014 0.55 1.45 2015 0.75 2.00 2016 6.30 2.50 2017 3.10 2.71 2018 5.11 2.65 2019 5.45 2.65 2020 0.70 2.36 2021 1.98 1.76 2022 0.70 1.47 2023 1.52 1.31 2024 1.35 1.52 2025 0.44 1.78 2026 4.32 2.54 2027 3.40 4.81 2028 11.27 7.62 2029 43.50 9.16 2030 10.80 9.54 2031 11.08 9.31 2032 6.21 7.29 2033 5.62 4.65 2034 6.39 2.63 2035 3.30 1.79 2036 1.02 1.10 2037 0.22 0.78 2038 0.61 0.52 2039 0.85 0.53 2040 0.29 0.45 2041 0.16 0.46 2042 0.72 0.36 2043 0.43 0.38 2044 0.14 0.38 2045 0.40 0.39 2046 1.96 0.47 2047 0.24 0.58 2048 1.31 0.67 2049 1.28 0.74 2050 1.74 0.89 2051 2.33 1.98 2052 4.39 1.70 2053 3.57 1.50 2054 3.11 1.03 2055 1.81 0.71 2056 0.52 0.54 2057 0.67 0.43 2058 0.39 0.36 2059 0.45 0.34 2060 0.32 0.32 2061 0.12 0.36 2062 0.24 0.48 2063 0.12 0.74 2064 0.53 1.04 2065 1.37 1.56 2066 19.39 1.91 2067 7.78 2.50 2068 19.44 2.56 2069 10.13 2.53 2070 1.27 2.17 2071 1.09 1.93 2072 3.37 1.39 2073 1.03 1.18 2074 1.17 1.33 2075 1.38 1.63 2076 1.00 2.39 2077 2.35 4.60 2078 6.47 7.70 2079 42.47 9.38 2080 58.32 10.26 2081 17.19 10.10 2082 22.75 8.21 2083 8.21 5.25 2084 2.69 3.21 2085 1.88 1.88 2086 0.60 1.09 2087 0.44 0.65 2088 0.34 0.43 2089 0.63 0.44 2090 0.30 0.45 2091 0.64 0.52 2092 0.63 0.50 2093 0.46 0.66 2094 0.26 0.65 2095 0.45 0.66 2096 1.06 0.70 2097 0.47 0.82 2098 0.46 0.97 2099 2.61 1.10 2100 9.77 1.32 2101 9.03 2.32 2102 14.72 2.05 2103 3.91 1.88 2104 2.35 1.33 2105 2.30 1.01 2106 0.28 0.87 2107 0.81 0.70 2108 0.18 0.52 2109 0.39 0.45 2110 0.37 0.37 2111 0.20 0.29 2112 0.27 0.31 2113 0.11 0.53 2114 0.44 0.85 2115 1.04 1.35 2116 3.66 1.65 2117 2.76 2.36 2118 6.73 2.46 2119 7.63 2.49 2120 5.15 2.19 2121 1.59 2.05 2122 2.55 1.48 2123 2.56 1.29 2124 6.68 1.25 2125 2.57 1.47 2126 1.18 1.87 2127 1.07 3.14 2128 2.72 6.18 2129 2.76 7.66 2130 13.37 8.96 2131 21.08 10.26 2132 21.57 9.53 2133 3.46 6.65 2134 3.15 4.94 2135 2.20 3.28 2136 0.60 1.41 2137 0.37 0.75 2138 0.30 0.55 2139 1.39 0.62 2140 0.46 0.71 2141 2.91 0.86 2142 0.77 0.88 2143 0.64 1.05 2144 0.51 1.03 2145 1.08 1.04 2146 1.04 1.03 2147 0.83 1.20 2148 3.27 1.33 2149 3.56 1.47 2150 4.62 1.66 2151 2.41 2.39 2152 8.97 2.22 2153 2.08 2.09 2154 1.77 1.47 2155 3.99 1.15 2156 0.69 1.09 2157 0.69 0.89 2158 1.06 0.63 2159 2.41 0.50 2160 0.19 0.40 2161 0.06 0.31 2162 0.07 0.26 2163 0.07 0.49 2164 0.27 0.75 2165 0.51 1.21 2166 1.87 1.46 2167 1.38 2.17 2168 2.16 2.31 2169 5.40 2.38 2170 8.01 2.22 2171 0.82 2.15 2172 2.35 1.57 2173 1.98 1.37 2174 5.75 1.22 2175 3.96 1.10 2176 2.21 1.44 2177 1.16 2.32 2178 2.58 5.15 2179 5.54 6.66 2180 5.46 8.19 2181 42.96 9.55 2182 5.39 9.28 2183 2.68 6.70 2184 2.35 5.11 2185 1.32 3.67 2186 0.73 1.90 2187 0.18 1.60 2188 0.29 1.46 2189 1.23 1.52 2190 1.37 1.45 2191 2.10 1.62 2192 1.83 1.26 2193 2.41 1.31 2194 1.48 1.43 2195 3.46 1.49 2196 2.19 1.56 2197 2.74 2.00 2198 2.17 2.17 2199 4.32 2.32 2200 10.60 2.63 2201 1.54 2.62 2202 4.09 2.42 2203 1.12 2.31 2204 0.89 1.67 2205 1.38 1.35 2206 1.33 1.23 2207 1.16 1.06 2208 0.56 0.75 2209 0.62 0.61 2210 0.13 0.52 2211 0.03 0.36 2212 0.05 0.25 2213 0.07 0.41 2214 0.18 0.60 2215 0.62 0.90 2216 0.35 1.14 2217 0.79 1.74 2218 2.96 1.89 2219 3.13 1.92 2220 1.65 1.89 2221 1.79 1.83 2222 0.95 1.37 2223 1.67 1.24 2224 1.52 1.20 2225 3.43 1.07 2226 1.82 1.26 2227 1.41 2.00 2228 1.21 3.30 2229 5.05 5.18 2230 6.85 7.03 2231 20.24 8.91 2232 5.38 9.09 2233 6.65 8.10 2234 4.15 6.33 2235 1.41 4.83 2236 1.38 3.25 2237 0.64 2.80 2238 0.38 2.79 2239 2.54 2.69 2240 3.52 2.42 2241 1.10 2.12 2242 1.01 1.68 2243 2.55 1.56 2244 1.30 1.79 2245 2.76 1.96 2246 2.46 2.20 2247 6.02 2.62 2248 3.35 2.94 2249 10.90 3.11 2250 11.79 3.46 2251 4.90 2.27 2252 4.52 2.27 2253 1.38 2.20 2254 1.03 1.83 2255 1.63 1.63 2256 1.71 1.45 2257 0.96 1.26 2258 1.00 0.96 2259 0.81 0.80 2260 0.24 0.68 2261 0.13 0.50 2262 0.05 0.37 2263 0.09 0.46 2264 0.63 0.54 2265 0.33 0.74 2266 0.60 0.90 2267 1.57 1.26 2268 2.14 1.39 2269 1.51 1.47 2270 1.12 1.46 2271 2.03 1.41 2272 2.78 1.07 2273 1.00 1.00 2274 1.06 0.98 2275 3.17 0.92 2276 1.09 1.11 2277 0.97 1.75 2278 2.46 2.81 2279 1.98 4.76 2280 5.56 6.92 2281 5.54 9.00 2282 7.53 10.22 2283 10.20 9.61 2284 13.30 7.96 2285 1.12 6.27 2286 4.60 4.70 2287 3.67 3.48 2288 5.93 3.58 2289 3.96 3.43 2290 2.18 3.50 2291 2.15 3.09 2292 2.75 2.65 2293 2.72 2.38 2294 2.40 4.04 2295 1.72 3.95 2296 4.80 4.51 2297 24.83 5.00 2298 6.54 5.57 2299 11.45 4.47 2300 11.61 4.88 2301 2.04 2.15 2302 1.99 2.29 2303 2.45 2.32 2304 0.72 2.18 2305 2.22 2.16 2306 0.81 2.07 2307 1.02 2.09 2308 1.03 1.69 2309 1.54 1.43 2310 0.10 1.22 2311 0.88 0.87 2312 0.40 0.47 2313 0.18 0.56 2314 0.34 0.62 2315 0.83 0.72 2316 0.50 0.85 2317 1.69 0.91 2318 2.35 0.99 2319 1.14 1.06 2320 0.75 1.10 2321 0.73 1.01 2322 0.89 0.92 2323 1.27 0.86 2324 0.94 0.83 2325 1.03 0.76 2326 2.15 0.81 2327 0.60 1.51 2328 1.81 2.39 2329 6.95 4.65 2330 5.74 6.89 2331 14.78 10.31 2332 15.77 11.87 2333 18.22 11.63 2334 9.61 10.01 2335 3.88 8.36 2336 3.68 5.84 2337 3.64 4.44 2338 6.45 5.08 2339 15.24 4.75 2340 3.30 4.90 2341 2.67 4.54 2342 5.98 4.31 2343 5.94 3.26 2344 1.54 5.18 2345 5.42 5.16 2346 13.30 5.74 2347 17.52 5.96 2348 9.01 6.61 2349 3.18 5.30 2350 4.15 5.63 2351 0.40 2.33 2352 2.02 2.60 2353 5.65 2.80 2354 1.96 3.47 2355 1.07 3.98 2356 1.60 3.81 2357 2.17 3.72 2358 3.35 3.15 2359 3.61 2.26 2360 0.34 1.53 2361 0.46 1.06 2362 0.63 0.63 2363 0.47 0.68 2364 0.31 0.71 2365 0.24 0.79 2366 0.85 0.89 2367 0.53 0.89 2368 0.88 0.88 2369 0.47 0.84 2370 0.15 0.85 2371 0.22 0.78 2372 0.14 0.71 2373 0.96 0.65 2374 0.18 0.67 2375 0.29 0.63 2376 1.33 0.75 2377 2.43 1.47 2378 2.10 2.81 2379 2.48 5.47 2380 4.46 7.59 2381 8.21 11.60 2382 13.89 13.23 2383 102.70 14.38 2384 9.46 12.83 2385 3.77 11.47 2386 4.59 8.46 2387 3.91 7.11 2388 24.93 6.65 2389 6.50 5.91 2390 5.20 5.89 2391 7.96 5.75 2392 3.41 5.75 2393 5.13 4.08 2394 6.12 5.90 2395 7.22 6.34 2396 24.03 6.58 2397 10.53 6.35 2398 7.92 7.00 2399 6.28 5.84 2400 8.15 5.61 2401 0.15 2.42 2402 0.48 2.71 2403 0.97 2.97 2404 0.63 3.89 2405 0.49 4.59 2406 2.36 4.41 2407 0.78 4.37 2408 1.89 3.74 2409 2.28 2.70 2410 0.61 1.80 2411 0.88 1.22 2412 0.52 0.73 2413 0.56 0.75 2414 0.43 0.75 2415 0.22 0.80 2416 1.48 0.91 2417 1.56 0.88 2418 0.56 0.83 2419 0.48 0.74 2420 0.15 0.69 2421 0.18 0.61 2422 0.26 0.54 2423 0.34 0.48 2424 0.14 0.52 2425 0.32 0.55 2426 1.75 0.65 2427 6.34 1.56 2428 20.35 3.18 2429 6.16 6.36 2430 9.06 8.81 2431 10.13 13.68 2432 41.99 15.53 2433 9.35 16.89 2434 16.11 15.12 2435 8.30 13.38 2436 5.01 9.68 2437 5.02 7.70 2438 4.60 7.10 2439 13.73 6.17 2440 8.80 6.35 2441 15.31 6.18 2442 4.19 6.65 2443 3.70 4.70 2444 10.08 6.80 2445 10.63 7.29 2446 13.49 7.49 2447 6.31 6.86 2448 5.09 7.61 2449 8.40 6.15 2450 3.83 5.68 2451 0.20 2.35 2452 0.14 2.81 2453 1.43 3.16 2454 0.87 4.50 2455 1.19 5.58 2456 5.88 5.43 2457 4.02 5.36 2458 8.12 4.65 2459 0.86 3.29 2460 1.89 2.10 2461 0.93 1.43 2462 0.68 0.85 2463 0.44 0.85 2464 0.40 0.82 2465 0.32 0.87 2466 0.99 0.96 2467 0.99 0.93 2468 0.82 0.87 2469 0.27 0.77 2470 0.09 0.69 2471 0.03 0.54 2472 0.05 0.42 2473 0.36 0.31 2474 0.13 0.35 2475 0.03 0.41 2476 0.36 0.61 2477 1.52 1.52 2478 2.32 3.60 2479 2.91 6.03 2480 8.13 8.36 2481 12.08 13.96 2482 5.49 16.22 2483 27.14 17.93 2484 29.36 17.08 2485 35.38 15.32 2486 14.50 10.40 2487 1.96 8.04 2488 7.88 7.10 2489 9.68 6.10 2490 13.57 6.68 2491 34.58 7.22 2492 13.59 8.03 2493 4.26 5.70 2494 3.73 8.36 2495 1.43 8.84 2496 7.11 8.82 2497 9.26 7.97 2498 1.86 8.62 2499 1.12 6.59 2500 1.65 5.83 > read.geoEAS("TRUE.DAT") [1] "reading title:..." [1] "reading title: OK" [1] "reading number of variables:..." [1] "reading variables:..." Read 2 items [1] "reading dataset:..." [1] "reading dataset: OK" primary - Z or U secondary - Y or V 1 2.26 3.26 2 3.28 2.64 3 2.80 2.15 4 0.95 1.69 5 0.12 0.51 6 0.13 0.27 7 0.39 0.16 8 0.24 0.31 9 0.30 0.39 10 0.22 0.40 11 0.18 0.42 12 0.26 0.42 13 0.55 0.30 14 0.12 0.25 15 0.44 0.32 16 0.14 0.57 17 0.50 0.61 18 0.82 0.64 19 0.51 0.69 20 0.73 0.65 21 0.36 0.46 22 0.16 0.42 23 0.10 0.47 24 0.47 0.49 25 0.52 0.60 26 0.29 0.66 27 0.98 0.94 28 2.14 1.44 29 1.31 1.85 30 1.97 2.22 31 4.18 2.84 32 3.30 2.72 33 1.77 2.20 34 0.68 1.73 35 0.13 1.26 36 0.54 0.65 37 0.56 0.61 38 0.38 0.69 39 1.15 0.90 40 1.55 0.94 41 0.24 0.87 42 0.18 0.77 43 0.09 0.66 44 0.16 0.47 45 0.09 0.67 46 0.83 1.02 47 0.56 1.71 48 0.31 2.88 49 0.95 3.50 50 1.08 4.15 51 4.65 2.84 52 1.64 2.32 53 3.33 1.89 54 0.66 1.51 55 0.17 0.56 56 0.06 0.28 57 0.12 0.17 58 0.16 0.30 59 0.55 0.36 60 0.56 0.37 61 0.83 0.38 62 0.35 0.37 63 0.32 0.27 64 0.11 0.23 65 0.48 0.27 66 0.16 0.47 67 0.19 0.50 68 0.23 0.52 69 0.17 0.55 70 0.21 0.52 71 0.09 0.39 72 0.14 0.36 73 0.19 0.42 74 0.45 0.48 75 0.88 0.61 76 1.15 0.77 77 0.89 1.01 78 0.87 1.43 79 1.94 1.78 80 2.49 2.08 81 4.70 2.51 82 4.22 2.46 83 1.85 2.04 84 1.12 1.65 85 0.15 1.27 86 0.24 0.72 87 0.22 0.63 88 0.23 0.69 89 0.77 0.83 90 0.84 0.88 91 0.23 0.85 92 0.11 0.80 93 0.15 0.68 94 0.03 0.56 95 0.04 0.70 96 0.17 1.15 97 0.90 1.82 98 4.57 3.41 99 3.49 4.14 100 2.35 5.03 101 1.63 2.65 102 2.17 2.18 103 1.14 1.83 104 0.56 1.50 105 0.17 0.66 106 0.05 0.37 107 0.17 0.29 108 0.20 0.34 109 0.22 0.36 110 0.19 0.34 111 0.64 0.35 112 0.05 0.31 113 0.19 0.23 114 0.16 0.22 115 0.22 0.25 116 0.19 0.41 117 0.09 0.44 118 0.21 0.45 119 0.12 0.47 120 0.06 0.45 121 0.10 0.34 122 0.25 0.34 123 0.08 0.49 124 0.12 0.58 125 0.68 0.71 126 0.80 0.91 127 0.75 1.12 128 1.94 1.44 129 6.61 1.70 130 3.20 1.93 131 5.25 2.27 132 6.45 2.23 133 1.05 1.85 134 2.49 1.51 135 0.11 1.21 136 0.01 0.71 137 0.20 0.62 138 0.24 0.66 139 0.15 0.80 140 0.70 0.87 141 0.72 0.90 142 0.33 0.88 143 0.27 0.78 144 0.16 0.65 145 0.04 0.73 146 0.50 1.13 147 0.88 1.70 148 1.42 3.05 149 4.66 3.69 150 2.83 4.48 151 1.34 3.07 152 7.14 2.61 153 4.02 2.27 154 0.21 1.96 155 0.22 0.98 156 0.46 0.69 157 0.27 0.54 158 0.22 0.44 159 0.23 0.37 160 0.37 0.33 161 0.14 0.31 162 0.12 0.24 163 0.02 0.19 164 0.19 0.18 165 0.11 0.17 166 0.10 0.21 167 0.15 0.22 168 0.09 0.21 169 0.12 0.20 170 0.06 0.22 171 0.08 0.26 172 0.10 0.30 173 0.03 0.55 174 0.09 0.72 175 0.32 0.84 176 1.42 1.03 177 1.04 1.15 178 1.91 1.21 179 2.80 1.40 180 6.01 1.53 181 2.14 1.66 182 2.37 1.68 183 0.47 1.48 184 0.46 1.19 185 0.13 0.99 186 0.33 0.67 187 0.19 0.57 188 0.21 0.58 189 0.42 0.68 190 0.71 0.76 191 0.25 0.85 192 0.42 0.91 193 0.40 0.89 194 0.22 0.84 195 0.07 0.85 196 0.55 1.15 197 0.35 1.65 198 0.66 2.83 199 1.08 3.35 200 1.68 4.13 201 0.94 4.02 202 4.57 3.72 203 4.30 3.37 204 2.59 2.64 205 0.95 1.75 206 0.83 1.34 207 0.17 0.92 208 0.28 0.57 209 0.27 0.45 210 0.32 0.39 211 0.49 0.32 212 0.05 0.21 213 0.09 0.18 214 0.08 0.16 215 0.09 0.16 216 0.08 0.18 217 0.03 0.19 218 0.03 0.20 219 0.15 0.19 220 0.09 0.21 221 0.05 0.28 222 0.22 0.35 223 0.19 0.62 224 0.16 0.87 225 0.32 1.12 226 1.81 1.37 227 1.69 1.63 228 2.52 1.81 229 1.61 2.13 230 4.20 2.22 231 5.51 2.22 232 3.52 2.03 233 0.41 1.69 234 0.50 1.19 235 0.26 0.89 236 0.02 0.60 237 0.09 0.49 238 0.14 0.49 239 0.26 0.56 240 0.22 0.66 241 0.18 0.83 242 0.09 1.04 243 2.06 1.14 244 0.33 1.14 245 0.80 1.13 246 1.51 1.38 247 0.34 1.69 248 0.47 2.71 249 3.32 3.17 250 11.24 3.91 251 1.41 6.32 252 1.97 6.72 253 4.37 5.93 254 1.21 4.53 255 0.72 3.53 256 3.68 2.82 257 0.75 1.38 258 0.48 0.87 259 0.30 0.64 260 0.45 0.46 261 0.65 0.35 262 0.23 0.24 263 0.14 0.23 264 0.09 0.21 265 0.10 0.19 266 0.09 0.19 267 0.01 0.19 268 0.09 0.19 269 0.28 0.18 270 0.33 0.21 271 0.18 0.30 272 0.19 0.59 273 0.26 0.98 274 0.70 1.31 275 2.29 1.78 276 3.10 2.08 277 2.12 2.27 278 0.84 2.32 279 4.61 2.48 280 4.83 2.41 281 9.14 2.24 282 2.63 1.88 283 0.77 1.54 284 0.57 1.12 285 0.16 0.76 286 0.02 0.55 287 0.08 0.41 288 0.04 0.38 289 0.08 0.40 290 0.39 0.56 291 0.68 0.82 292 0.78 1.12 293 1.65 1.31 294 0.58 1.44 295 1.46 1.48 296 1.33 1.71 297 0.72 1.79 298 0.68 2.45 299 0.93 2.76 300 2.72 3.16 301 54.39 12.13 302 7.45 11.41 303 4.91 9.78 304 2.77 5.94 305 6.70 4.31 306 1.56 3.33 307 2.95 1.63 308 1.60 1.03 309 0.85 0.79 310 0.20 0.58 311 0.50 0.41 312 0.24 0.31 313 0.19 0.29 314 0.16 0.23 315 0.36 0.21 316 0.60 0.21 317 0.18 0.21 318 0.27 0.21 319 0.34 0.23 320 0.17 0.31 321 0.57 0.45 322 0.56 0.82 323 0.32 1.39 324 1.50 1.74 325 0.93 2.15 326 1.15 2.32 327 1.35 2.48 328 3.09 2.35 329 2.14 2.42 330 2.72 2.37 331 5.27 2.27 332 14.63 1.84 333 1.41 1.46 334 1.80 1.06 335 0.12 0.64 336 0.21 0.46 337 0.23 0.32 338 0.04 0.29 339 0.10 0.34 340 0.33 0.54 341 0.25 0.81 342 0.96 1.10 343 0.89 1.41 344 2.01 1.56 345 3.68 1.64 346 1.89 1.89 347 1.68 2.00 348 1.09 2.21 349 4.62 2.40 350 6.36 2.61 351 12.74 14.04 352 10.18 13.44 353 23.28 11.62 354 18.59 7.37 355 8.56 5.58 356 1.12 4.13 357 3.21 2.00 358 1.03 1.22 359 0.28 0.97 360 0.37 0.73 361 0.26 0.54 362 0.17 0.41 363 0.15 0.38 364 0.32 0.29 365 0.55 0.25 366 0.39 0.26 367 0.22 0.28 368 0.29 0.30 369 0.13 0.37 370 0.25 0.45 371 0.11 0.76 372 0.17 1.35 373 0.28 1.89 374 0.71 2.13 375 1.16 2.58 376 0.81 2.50 377 1.56 2.39 378 1.03 2.21 379 1.90 2.44 380 2.31 2.35 381 1.48 2.27 382 5.59 1.87 383 1.48 1.50 384 0.92 0.99 385 0.73 0.58 386 0.15 0.41 387 0.32 0.29 388 0.04 0.27 389 0.12 0.31 390 0.12 0.47 391 0.19 0.75 392 0.34 1.03 393 0.48 1.34 394 0.84 1.61 395 1.28 1.85 396 3.24 2.15 397 5.32 2.30 398 3.46 2.55 399 10.61 2.70 400 13.84 2.79 401 6.49 14.95 402 20.35 14.10 403 8.90 12.32 404 16.11 7.59 405 3.46 6.10 406 2.70 4.68 407 1.90 2.58 408 0.23 1.63 409 0.60 1.24 410 1.48 0.83 411 0.34 0.58 412 0.10 0.46 413 0.08 0.43 414 0.42 0.36 415 1.02 0.34 416 0.60 0.35 417 0.20 0.37 418 0.47 0.42 419 0.85 0.50 420 0.45 0.61 421 0.39 1.02 422 0.47 1.64 423 0.91 2.11 424 1.09 2.34 425 2.12 2.73 426 1.28 2.49 427 1.70 2.29 428 0.64 2.07 429 0.87 2.25 430 2.68 2.12 431 3.02 2.07 432 6.69 1.74 433 1.84 1.46 434 2.60 0.97 435 0.25 0.64 436 0.40 0.54 437 0.16 0.39 438 0.11 0.37 439 0.09 0.42 440 0.34 0.56 441 0.22 0.77 442 0.66 1.05 443 0.31 1.39 444 1.43 1.66 445 4.13 3.63 446 2.31 4.27 447 7.91 4.45 448 3.92 4.89 449 6.32 5.62 450 5.68 3.78 451 15.77 22.46 452 7.56 19.74 453 6.26 17.02 454 7.92 12.02 455 8.98 7.33 456 1.26 5.27 457 1.13 3.15 458 1.46 2.05 459 2.33 1.42 460 0.81 0.86 461 0.32 0.64 462 0.19 0.56 463 0.09 0.51 464 0.23 0.42 465 1.05 0.43 466 0.25 0.45 467 0.47 0.48 468 0.27 0.54 469 1.16 0.67 470 0.33 0.85 471 0.79 1.31 472 1.57 2.11 473 1.12 2.55 474 5.94 2.67 475 1.38 2.82 476 0.79 2.43 477 0.58 1.80 478 0.42 1.40 479 1.13 1.38 480 2.07 1.26 481 1.70 1.29 482 1.57 1.23 483 0.96 1.14 484 0.70 0.93 485 0.33 0.74 486 0.44 0.63 487 1.28 0.47 488 0.26 0.47 489 0.09 0.56 490 0.50 0.71 491 0.35 0.90 492 0.25 1.06 493 0.74 1.33 494 0.71 1.68 495 0.79 4.23 496 0.72 5.28 497 2.00 6.04 498 3.83 6.83 499 2.76 7.88 500 6.71 5.79 501 26.66 21.33 502 3.68 18.09 503 2.55 15.91 504 3.22 11.50 505 6.83 6.66 506 12.34 4.84 507 18.71 3.36 508 4.54 2.07 509 1.20 1.25 510 0.64 0.81 511 0.85 0.63 512 0.38 0.54 513 0.27 0.48 514 0.20 0.43 515 0.34 0.46 516 0.36 0.51 517 0.26 0.72 518 0.29 0.92 519 0.56 1.08 520 1.01 1.41 521 0.65 1.87 522 1.21 2.29 523 2.52 2.48 524 6.27 2.45 525 0.94 2.21 526 0.81 1.74 527 0.67 1.12 528 0.30 0.80 529 0.18 0.83 530 0.24 0.81 531 0.63 0.90 532 0.40 1.05 533 0.53 0.98 534 0.59 0.82 535 0.65 0.76 536 0.96 0.67 537 0.61 0.49 538 0.77 0.53 539 0.44 0.61 540 0.29 0.68 541 0.99 0.78 542 0.49 0.91 543 1.84 1.15 544 2.47 1.80 545 2.06 4.48 546 1.19 5.67 547 2.59 6.62 548 6.45 7.64 549 4.32 8.52 550 10.40 6.54 551 40.57 17.60 552 28.44 15.12 553 7.33 13.61 554 8.44 11.51 555 3.22 6.65 556 8.92 4.95 557 2.18 3.62 558 0.71 2.23 559 0.64 1.16 560 0.36 0.73 561 0.44 0.60 562 0.25 0.51 563 0.37 0.49 564 0.14 0.50 565 0.20 0.65 566 0.26 0.84 567 1.07 1.12 568 0.55 1.30 569 0.32 1.43 570 1.25 1.61 571 0.99 1.91 572 0.54 2.17 573 1.34 2.15 574 1.73 2.05 575 0.64 1.80 576 0.25 1.35 577 0.35 0.73 578 0.28 0.53 579 0.28 0.62 580 0.31 0.57 581 0.25 0.62 582 0.13 0.83 583 0.18 0.87 584 0.50 0.75 585 0.43 0.75 586 1.47 0.70 587 3.25 0.54 588 0.68 0.55 589 0.54 0.59 590 0.70 0.62 591 1.05 0.70 592 0.46 0.83 593 0.68 1.01 594 0.95 1.77 595 2.81 4.65 596 2.11 5.71 597 5.65 6.67 598 3.62 7.63 599 2.75 8.41 600 11.21 6.13 601 23.28 16.76 602 30.54 13.96 603 36.89 12.55 604 11.50 10.73 605 6.27 5.56 606 1.63 4.29 607 1.73 3.35 608 0.71 2.07 609 0.37 1.01 610 0.16 0.62 611 0.46 0.50 612 0.32 0.44 613 0.17 0.52 614 1.27 0.61 615 0.27 0.96 616 0.52 1.40 617 1.93 1.82 618 5.40 1.92 619 2.73 1.94 620 0.57 1.93 621 1.10 1.77 622 0.80 1.64 623 0.74 1.56 624 1.27 1.50 625 0.80 1.20 626 0.75 0.91 627 0.20 0.56 628 0.24 0.41 629 0.38 0.36 630 1.11 0.37 631 0.40 0.41 632 0.29 0.61 633 0.72 0.79 634 0.39 0.81 635 0.46 0.79 636 0.32 0.78 637 1.02 0.62 638 0.69 0.50 639 0.35 0.52 640 0.35 0.57 641 0.47 0.62 642 0.68 0.77 643 0.60 1.00 644 1.00 1.82 645 3.42 4.69 646 5.70 5.72 647 6.76 6.73 648 1.38 7.66 649 1.75 8.38 650 6.76 6.12 651 5.52 15.66 652 10.47 13.08 653 8.71 11.72 654 38.61 10.25 655 3.88 4.92 656 3.70 3.68 657 0.87 2.73 658 0.88 1.58 659 0.43 0.73 660 0.25 0.51 661 0.57 0.47 662 0.31 0.44 663 1.45 0.69 664 2.23 0.90 665 3.99 1.64 666 4.37 2.26 667 2.99 2.74 668 3.68 2.62 669 2.23 2.48 670 1.92 2.04 671 0.29 1.56 672 1.07 1.32 673 0.95 1.22 674 0.82 1.11 675 0.68 0.84 676 0.19 0.69 677 0.15 0.40 678 0.24 0.31 679 0.52 0.29 680 1.71 0.33 681 0.07 0.37 682 0.24 0.50 683 0.27 0.68 684 1.41 0.71 685 0.57 0.68 686 0.41 0.62 687 0.43 0.50 688 0.49 0.38 689 0.11 0.40 690 0.22 0.47 691 0.33 0.53 692 1.08 0.63 693 1.61 0.78 694 1.04 1.62 695 0.83 2.84 696 2.11 3.62 697 1.66 4.68 698 1.95 5.49 699 1.91 5.67 700 2.20 5.28 701 3.44 6.65 702 5.54 5.92 703 10.27 5.67 704 3.61 5.03 705 0.76 3.07 706 0.88 2.56 707 1.19 1.92 708 0.39 1.05 709 0.44 0.45 710 0.26 0.41 711 2.81 0.38 712 0.83 0.37 713 0.35 0.69 714 1.08 1.08 715 2.34 2.05 716 9.03 2.88 717 6.18 3.35 718 2.96 3.17 719 3.54 2.81 720 0.63 2.04 721 0.52 1.26 722 0.22 0.77 723 0.14 0.65 724 0.10 0.55 725 0.17 0.37 726 0.08 0.32 727 0.03 0.29 728 0.09 0.23 729 0.11 0.26 730 0.17 0.28 731 0.06 0.31 732 0.35 0.38 733 0.33 0.54 734 0.20 0.57 735 0.99 0.52 736 0.74 0.47 737 0.22 0.39 738 0.10 0.25 739 0.06 0.23 740 0.15 0.29 741 0.37 0.34 742 0.82 0.44 743 0.71 0.58 744 0.50 1.33 745 0.10 1.97 746 0.62 2.30 747 1.88 2.95 748 3.13 3.93 749 0.95 3.89 750 2.21 3.94 751 2.22 5.11 752 1.56 4.32 753 2.74 4.07 754 2.07 3.67 755 0.56 2.10 756 0.15 1.70 757 0.29 1.40 758 0.12 0.87 759 0.18 0.49 760 0.08 0.43 761 0.24 0.41 762 1.11 0.42 763 0.18 0.76 764 0.28 1.19 765 2.36 2.29 766 10.82 3.23 767 19.44 3.60 768 9.08 3.32 769 4.92 2.86 770 1.09 1.75 771 0.39 0.81 772 0.16 0.40 773 0.10 0.31 774 0.06 0.25 775 0.07 0.23 776 0.06 0.20 777 0.06 0.19 778 0.18 0.17 779 0.20 0.19 780 0.18 0.24 781 0.09 0.27 782 0.29 0.31 783 0.95 0.47 784 0.12 0.50 785 0.37 0.46 786 0.56 0.41 787 0.10 0.36 788 0.07 0.20 789 0.08 0.16 790 0.16 0.21 791 0.16 0.28 792 0.62 0.38 793 0.78 0.53 794 0.57 0.93 795 0.48 1.39 796 0.77 1.61 797 1.17 2.21 798 1.39 3.26 799 3.77 3.52 800 2.98 3.79 801 0.27 2.82 802 0.87 2.46 803 0.78 2.41 804 0.81 2.17 805 0.55 1.37 806 0.95 1.19 807 0.21 0.99 808 0.48 0.61 809 0.26 0.49 810 0.07 0.40 811 0.35 0.38 812 0.08 0.38 813 0.18 0.77 814 0.25 1.28 815 1.98 2.43 816 5.11 3.49 817 29.85 3.88 818 2.97 3.62 819 3.82 3.07 820 1.00 1.89 821 0.20 0.79 822 0.25 0.37 823 0.08 0.22 824 0.25 0.18 825 0.05 0.17 826 0.03 0.18 827 0.05 0.17 828 0.14 0.16 829 0.15 0.19 830 0.14 0.23 831 0.35 0.28 832 0.16 0.31 833 0.29 0.43 834 0.17 0.44 835 0.07 0.39 836 0.27 0.33 837 0.17 0.30 838 0.06 0.18 839 0.03 0.15 840 0.08 0.19 841 0.03 0.25 842 0.09 0.36 843 0.17 0.59 844 0.14 0.87 845 0.22 1.17 846 0.43 1.40 847 1.53 1.95 848 0.99 2.95 849 2.01 3.30 850 2.88 3.78 851 0.49 2.32 852 0.27 2.12 853 0.80 2.05 854 1.91 1.92 855 1.13 1.57 856 0.55 1.19 857 0.92 0.94 858 0.47 0.65 859 0.22 0.52 860 0.13 0.38 861 0.45 0.33 862 0.11 0.34 863 0.24 0.66 864 0.20 1.17 865 0.50 2.22 866 2.08 3.16 867 5.62 3.49 868 1.33 3.43 869 2.09 2.89 870 0.94 1.82 871 1.30 0.85 872 0.12 0.51 873 0.07 0.21 874 0.13 0.18 875 0.15 0.18 876 0.06 0.19 877 0.29 0.18 878 0.03 0.18 879 0.04 0.20 880 0.06 0.24 881 0.06 0.29 882 0.22 0.44 883 0.27 0.50 884 0.85 0.50 885 0.17 0.47 886 0.17 0.38 887 0.10 0.23 888 0.06 0.17 889 0.03 0.15 890 0.09 0.18 891 0.11 0.24 892 0.16 0.33 893 0.24 0.59 894 0.25 0.73 895 0.52 1.04 896 0.38 1.34 897 0.50 1.83 898 1.45 2.80 899 3.08 3.27 900 8.47 3.75 901 0.18 1.92 902 0.22 1.99 903 0.45 1.89 904 0.58 1.89 905 0.62 1.66 906 1.17 1.28 907 0.28 0.91 908 1.01 0.67 909 0.15 0.50 910 0.25 0.33 911 0.16 0.29 912 0.03 0.27 913 0.09 0.42 914 0.11 0.86 915 0.22 1.52 916 1.72 2.43 917 1.40 2.76 918 6.33 2.89 919 1.89 2.45 920 1.30 1.79 921 0.83 0.88 922 0.27 0.56 923 0.10 0.29 924 0.16 0.30 925 0.08 0.27 926 0.08 0.29 927 0.10 0.27 928 0.06 0.25 929 0.19 0.26 930 0.32 0.41 931 0.16 0.46 932 0.09 0.72 933 0.20 0.80 934 0.37 0.77 935 0.75 0.62 936 0.32 0.52 937 0.13 0.27 938 0.17 0.18 939 0.09 0.17 940 0.06 0.22 941 0.11 0.31 942 0.15 0.45 943 0.56 0.74 944 0.63 0.88 945 0.31 1.16 946 0.55 1.44 947 0.40 1.87 948 1.32 2.73 949 1.86 3.19 950 12.27 3.66 951 1.48 1.70 952 1.41 2.03 953 2.55 1.89 954 5.16 1.94 955 0.50 1.88 956 1.49 1.48 957 0.93 0.95 958 1.20 0.73 959 1.11 0.50 960 0.17 0.30 961 0.03 0.25 962 0.06 0.20 963 0.07 0.31 964 0.06 0.61 965 0.27 1.03 966 1.34 1.75 967 1.16 2.09 968 1.20 2.31 969 3.53 2.04 970 2.21 1.64 971 0.50 0.95 972 0.12 0.67 973 0.10 0.37 974 0.60 0.41 975 0.15 0.41 976 0.04 0.40 977 0.06 0.37 978 0.14 0.39 979 0.14 0.41 980 0.48 0.57 981 0.24 0.74 982 0.41 1.07 983 0.83 1.11 984 1.28 1.08 985 0.41 0.90 986 0.33 0.67 987 0.12 0.35 988 0.15 0.24 989 0.12 0.20 990 0.14 0.24 991 0.06 0.35 992 0.15 0.50 993 0.41 0.81 994 0.99 0.94 995 0.63 1.22 996 0.50 1.50 997 1.55 1.84 998 4.03 2.22 999 5.86 2.55 1000 1.83 2.78 1001 0.38 1.69 1002 6.70 2.05 1003 6.30 1.92 1004 3.19 2.00 1005 8.08 1.91 1006 3.28 1.51 1007 0.68 0.95 1008 0.48 0.69 1009 0.48 0.44 1010 0.19 0.25 1011 0.03 0.18 1012 0.05 0.12 1013 0.11 0.21 1014 0.04 0.46 1015 0.06 0.73 1016 0.70 1.35 1017 1.79 1.61 1018 3.83 1.84 1019 5.60 1.64 1020 2.17 1.41 1021 0.84 0.87 1022 0.27 0.68 1023 0.10 0.44 1024 0.17 0.51 1025 0.26 0.53 1026 0.53 0.56 1027 0.15 0.54 1028 0.16 0.59 1029 0.42 0.59 1030 0.13 0.81 1031 0.54 0.96 1032 1.20 1.27 1033 0.88 1.27 1034 0.92 1.21 1035 0.58 0.95 1036 0.34 0.68 1037 0.22 0.36 1038 0.05 0.25 1039 0.17 0.22 1040 0.13 0.28 1041 0.08 0.44 1042 1.06 0.62 1043 0.62 0.97 1044 0.37 1.13 1045 0.77 1.46 1046 0.79 1.67 1047 3.03 1.79 1048 3.21 1.76 1049 1.12 1.93 1050 2.27 1.88 1051 1.37 1.71 1052 4.64 2.11 1053 12.39 1.98 1054 5.26 2.05 1055 1.75 1.89 1056 1.47 1.49 1057 1.09 0.88 1058 0.86 0.62 1059 0.39 0.37 1060 0.13 0.22 1061 0.14 0.15 1062 0.04 0.11 1063 0.43 0.14 1064 0.01 0.32 1065 0.33 0.48 1066 0.67 0.87 1067 2.03 1.06 1068 1.49 1.31 1069 2.29 1.21 1070 0.32 1.16 1071 0.66 0.92 1072 0.28 0.81 1073 0.14 0.62 1074 0.41 0.74 1075 1.06 0.72 1076 0.17 0.71 1077 0.46 0.83 1078 0.56 0.96 1079 0.30 0.95 1080 0.71 1.17 1081 1.48 1.29 1082 0.73 1.47 1083 0.68 1.36 1084 0.43 1.25 1085 0.70 0.96 1086 0.27 0.70 1087 0.09 0.36 1088 0.08 0.24 1089 0.11 0.22 1090 0.28 0.30 1091 0.10 0.48 1092 0.27 0.70 1093 0.38 0.95 1094 0.34 1.09 1095 3.00 1.33 1096 0.67 1.53 1097 1.09 1.51 1098 1.19 1.54 1099 4.91 1.68 1100 1.68 1.64 1101 1.63 0.81 1102 0.74 1.31 1103 1.75 1.29 1104 1.60 1.42 1105 2.01 1.37 1106 2.34 1.25 1107 0.53 0.73 1108 0.33 0.51 1109 0.26 0.29 1110 0.22 0.21 1111 0.26 0.19 1112 0.22 0.18 1113 0.28 0.22 1114 0.08 0.33 1115 0.56 0.41 1116 1.33 0.66 1117 1.50 0.78 1118 1.79 0.92 1119 0.63 0.88 1120 0.92 0.96 1121 0.44 0.86 1122 0.39 0.83 1123 0.10 0.80 1124 0.22 1.06 1125 0.61 0.99 1126 0.59 1.00 1127 1.05 1.12 1128 0.93 1.25 1129 0.40 1.09 1130 0.78 1.30 1131 1.38 1.37 1132 0.16 1.38 1133 0.20 1.19 1134 0.78 1.06 1135 1.23 0.77 1136 0.55 0.53 1137 0.19 0.30 1138 0.21 0.22 1139 0.14 0.20 1140 0.16 0.29 1141 0.29 0.46 1142 0.75 0.69 1143 1.54 0.93 1144 0.69 1.06 1145 2.26 1.18 1146 0.93 1.29 1147 1.53 1.28 1148 2.78 1.41 1149 2.95 1.53 1150 2.87 1.62 1151 0.66 0.59 1152 0.80 0.90 1153 1.52 0.88 1154 1.38 0.99 1155 0.60 0.96 1156 0.67 0.86 1157 0.24 0.53 1158 0.32 0.41 1159 0.29 0.26 1160 0.07 0.27 1161 0.11 0.31 1162 0.14 0.35 1163 0.93 0.38 1164 0.72 0.45 1165 0.76 0.50 1166 0.87 0.57 1167 3.10 0.61 1168 3.41 0.76 1169 0.47 0.78 1170 1.82 0.83 1171 0.95 0.91 1172 0.46 0.99 1173 0.56 0.96 1174 0.90 1.19 1175 1.31 1.27 1176 1.05 1.28 1177 0.79 1.40 1178 0.82 1.51 1179 3.85 1.34 1180 1.14 1.27 1181 0.60 1.25 1182 0.18 1.15 1183 0.46 0.92 1184 0.39 0.84 1185 0.73 0.68 1186 0.26 0.47 1187 0.20 0.30 1188 0.12 0.25 1189 0.05 0.21 1190 0.08 0.27 1191 0.46 0.45 1192 0.39 0.63 1193 0.69 0.82 1194 0.90 0.90 1195 2.02 0.96 1196 0.55 0.98 1197 0.64 0.99 1198 1.18 1.16 1199 1.46 1.27 1200 1.24 1.41 1201 0.23 0.38 1202 0.33 0.50 1203 0.57 0.50 1204 0.09 0.56 1205 0.33 0.52 1206 0.68 0.50 1207 0.74 0.39 1208 0.48 0.41 1209 0.35 0.41 1210 0.94 0.50 1211 0.44 0.58 1212 0.36 0.63 1213 0.47 0.60 1214 0.84 0.60 1215 0.28 0.61 1216 0.66 0.62 1217 0.47 0.63 1218 1.09 0.72 1219 1.19 0.75 1220 1.10 0.84 1221 1.74 0.98 1222 1.29 1.09 1223 0.98 1.39 1224 3.04 1.66 1225 1.44 1.72 1226 3.15 1.75 1227 1.11 1.84 1228 0.87 1.60 1229 3.08 1.34 1230 1.58 1.20 1231 0.38 1.00 1232 0.46 0.86 1233 0.28 0.69 1234 0.51 0.64 1235 0.41 0.54 1236 0.38 0.48 1237 0.13 0.35 1238 0.03 0.33 1239 0.02 0.31 1240 0.22 0.36 1241 0.32 0.56 1242 0.61 0.73 1243 2.20 0.92 1244 1.90 0.97 1245 0.71 1.01 1246 1.04 0.93 1247 0.67 0.94 1248 2.20 1.05 1249 1.90 1.15 1250 0.49 1.27 1251 0.16 0.31 1252 0.25 0.35 1253 0.19 0.33 1254 0.16 0.33 1255 0.12 0.33 1256 0.12 0.34 1257 0.11 0.36 1258 0.17 0.53 1259 0.17 0.82 1260 0.41 1.12 1261 0.60 1.23 1262 1.14 1.24 1263 0.56 1.12 1264 0.87 0.90 1265 0.34 0.70 1266 0.37 0.64 1267 1.63 0.64 1268 1.76 0.72 1269 0.93 0.75 1270 1.50 0.91 1271 1.15 1.14 1272 1.64 1.29 1273 1.39 1.65 1274 1.52 1.95 1275 3.94 2.01 1276 4.89 2.10 1277 0.58 2.13 1278 2.30 1.81 1279 1.24 1.50 1280 1.13 1.20 1281 0.55 0.87 1282 0.88 0.77 1283 0.42 0.70 1284 1.54 0.73 1285 0.39 0.85 1286 0.33 0.82 1287 0.25 0.81 1288 0.14 0.78 1289 0.41 0.82 1290 1.57 0.74 1291 1.37 0.99 1292 1.77 0.98 1293 0.72 1.08 1294 1.10 1.07 1295 1.16 1.06 1296 0.55 0.89 1297 0.86 0.92 1298 1.14 1.04 1299 0.94 1.07 1300 0.55 1.22 1301 0.08 0.20 1302 0.06 0.20 1303 0.09 0.20 1304 0.14 0.23 1305 0.24 0.27 1306 0.38 0.35 1307 0.52 0.65 1308 0.31 1.22 1309 0.36 1.65 1310 0.49 2.02 1311 1.62 2.27 1312 1.72 2.08 1313 0.27 1.57 1314 0.40 1.17 1315 0.49 0.84 1316 0.27 0.57 1317 1.26 0.54 1318 0.39 0.60 1319 0.34 0.65 1320 1.39 0.84 1321 0.73 1.17 1322 0.75 1.45 1323 1.72 1.88 1324 0.64 2.16 1325 0.58 2.24 1326 1.54 2.33 1327 3.58 2.11 1328 2.04 1.70 1329 0.96 1.41 1330 0.73 1.08 1331 1.46 0.67 1332 0.45 0.74 1333 0.62 0.85 1334 2.44 1.15 1335 0.95 1.44 1336 0.33 1.46 1337 0.94 1.56 1338 0.96 1.58 1339 0.83 1.47 1340 0.84 1.53 1341 1.28 1.87 1342 2.13 1.80 1343 1.33 1.73 1344 1.28 1.63 1345 0.81 1.32 1346 3.47 0.94 1347 1.85 0.88 1348 1.03 0.89 1349 0.63 0.86 1350 0.63 0.95 1351 0.05 0.20 1352 0.17 0.19 1353 0.27 0.21 1354 0.31 0.25 1355 0.50 0.32 1356 1.09 0.45 1357 2.53 1.01 1358 1.73 2.17 1359 3.10 3.03 1360 5.59 3.65 1361 19.07 4.35 1362 6.58 3.96 1363 0.90 2.88 1364 0.32 2.04 1365 0.16 1.43 1366 1.02 0.65 1367 0.93 0.56 1368 0.46 0.56 1369 0.78 0.60 1370 0.28 0.75 1371 1.05 1.16 1372 3.02 1.49 1373 1.50 2.00 1374 1.36 2.64 1375 0.93 2.83 1376 0.94 2.90 1377 4.54 2.62 1378 0.58 2.16 1379 0.91 1.53 1380 0.71 1.15 1381 1.44 0.72 1382 2.12 0.88 1383 0.94 1.22 1384 3.05 2.52 1385 1.47 4.71 1386 1.30 4.95 1387 4.30 5.14 1388 3.03 4.98 1389 3.62 3.95 1390 2.29 2.16 1391 2.05 2.33 1392 1.56 2.23 1393 2.79 2.13 1394 2.12 1.97 1395 0.91 1.60 1396 1.05 1.12 1397 0.36 0.83 1398 0.23 0.69 1399 0.13 0.54 1400 0.38 0.53 1401 0.02 0.23 1402 0.09 0.24 1403 0.31 0.30 1404 0.33 0.41 1405 0.37 0.51 1406 2.09 0.70 1407 1.88 1.31 1408 2.26 2.60 1409 3.41 3.64 1410 9.27 4.40 1411 1.68 5.21 1412 8.19 4.97 1413 3.68 3.79 1414 1.37 2.72 1415 0.17 1.90 1416 0.29 0.96 1417 0.32 0.64 1418 0.17 0.53 1419 0.28 0.57 1420 0.20 0.75 1421 0.47 1.17 1422 1.16 1.51 1423 1.32 2.12 1424 2.27 2.91 1425 2.65 3.04 1426 1.83 3.05 1427 1.18 2.76 1428 1.11 2.23 1429 0.70 1.50 1430 1.04 1.31 1431 2.76 0.98 1432 1.40 1.20 1433 1.97 1.78 1434 1.43 3.75 1435 1.90 6.47 1436 2.42 7.09 1437 5.75 7.50 1438 2.70 7.18 1439 0.57 5.55 1440 1.19 3.13 1441 3.67 3.06 1442 2.16 2.87 1443 6.44 2.75 1444 3.63 2.46 1445 2.15 2.15 1446 0.71 1.57 1447 0.27 1.13 1448 0.27 0.95 1449 0.06 0.87 1450 0.26 0.80 1451 0.08 0.27 1452 0.17 0.31 1453 0.18 0.46 1454 0.32 0.65 1455 0.26 0.78 1456 1.26 1.03 1457 1.61 2.10 1458 3.44 3.37 1459 9.01 4.38 1460 8.03 5.21 1461 2.52 6.19 1462 3.04 5.59 1463 2.16 4.57 1464 0.89 3.45 1465 0.46 2.52 1466 0.32 1.35 1467 0.37 0.91 1468 0.69 0.57 1469 0.57 0.70 1470 1.54 0.88 1471 0.61 1.23 1472 0.67 1.57 1473 1.46 1.93 1474 10.91 2.78 1475 12.55 3.14 1476 3.56 3.19 1477 1.15 2.93 1478 1.84 2.65 1479 1.09 1.80 1480 0.68 1.46 1481 1.95 1.21 1482 1.46 1.49 1483 2.37 2.21 1484 2.28 4.28 1485 6.30 7.59 1486 14.78 10.61 1487 6.61 11.61 1488 10.97 11.20 1489 2.68 9.57 1490 1.71 6.61 1491 22.46 4.16 1492 2.50 3.43 1493 5.71 3.34 1494 3.59 2.96 1495 1.37 2.67 1496 1.21 2.07 1497 0.62 1.68 1498 0.53 1.45 1499 0.44 1.46 1500 0.82 1.35 1501 0.03 0.29 1502 0.15 0.37 1503 0.46 0.53 1504 0.62 0.79 1505 0.65 1.06 1506 1.00 1.49 1507 2.40 2.63 1508 2.70 4.05 1509 7.55 4.96 1510 3.56 5.84 1511 8.06 7.11 1512 2.46 6.52 1513 3.63 5.50 1514 3.98 4.50 1515 2.27 3.41 1516 1.39 1.80 1517 0.43 1.26 1518 0.24 0.82 1519 0.53 0.89 1520 0.36 1.04 1521 0.73 1.37 1522 0.47 1.73 1523 1.21 2.16 1524 1.38 3.33 1525 3.18 3.81 1526 2.47 3.79 1527 1.45 3.49 1528 1.73 3.08 1529 0.79 1.88 1530 1.20 1.44 1531 0.57 1.32 1532 2.97 1.67 1533 2.62 2.54 1534 1.52 4.77 1535 3.79 8.82 1536 4.96 12.09 1537 14.08 13.02 1538 14.41 12.43 1539 16.61 10.58 1540 7.94 7.09 1541 4.39 4.44 1542 1.20 3.74 1543 3.94 3.74 1544 5.11 3.46 1545 1.96 3.19 1546 1.19 3.23 1547 0.56 3.36 1548 2.24 3.24 1549 1.40 3.60 1550 1.87 3.79 1551 0.09 0.37 1552 0.18 0.45 1553 0.47 0.61 1554 0.75 0.95 1555 0.57 1.24 1556 1.00 1.68 1557 3.37 2.69 1558 4.15 4.04 1559 23.36 5.07 1560 6.94 5.99 1561 7.36 7.32 1562 3.39 7.04 1563 5.12 7.33 1564 2.39 6.31 1565 1.09 5.30 1566 0.33 3.65 1567 1.49 2.91 1568 0.44 1.22 1569 0.91 1.17 1570 0.61 1.31 1571 0.75 1.87 1572 0.80 2.49 1573 3.05 3.16 1574 1.68 4.37 1575 1.34 4.89 1576 7.09 4.57 1577 8.41 4.10 1578 1.87 3.37 1579 1.17 2.10 1580 1.47 1.50 1581 0.91 1.43 1582 1.78 1.76 1583 1.11 2.69 1584 1.98 4.97 1585 5.51 9.09 1586 8.48 12.78 1587 34.06 14.27 1588 12.68 13.60 1589 18.64 11.79 1590 8.34 8.02 1591 2.51 4.96 1592 1.36 3.61 1593 8.56 3.74 1594 7.04 3.67 1595 16.72 3.72 1596 3.47 4.25 1597 2.38 4.50 1598 3.90 4.50 1599 4.84 4.80 1600 1.27 5.14 1601 0.87 0.63 1602 0.31 0.67 1603 0.41 0.80 1604 0.37 1.07 1605 1.06 1.31 1606 1.22 1.71 1607 5.26 2.48 1608 9.50 3.39 1609 18.11 4.03 1610 10.68 4.87 1611 26.42 5.87 1612 7.72 5.99 1613 4.91 6.80 1614 2.50 6.34 1615 3.35 5.53 1616 3.96 4.22 1617 1.56 3.39 1618 0.78 1.70 1619 0.48 1.48 1620 1.17 1.58 1621 2.08 2.38 1622 0.95 2.99 1623 3.45 4.27 1624 1.02 5.56 1625 2.02 6.20 1626 3.39 5.56 1627 13.70 5.03 1628 1.71 3.61 1629 0.74 2.25 1630 1.33 1.64 1631 1.85 1.65 1632 1.42 2.02 1633 1.01 2.83 1634 2.76 4.38 1635 9.42 6.76 1636 18.76 10.76 1637 5.26 12.40 1638 16.93 12.03 1639 6.30 11.00 1640 2.28 9.32 1641 4.66 5.93 1642 2.43 4.25 1643 4.72 4.24 1644 2.45 4.05 1645 2.45 3.82 1646 3.87 4.46 1647 8.47 4.99 1648 34.84 4.96 1649 8.66 5.42 1650 8.92 5.62 1651 0.96 1.02 1652 0.51 0.99 1653 0.40 1.01 1654 1.10 1.10 1655 0.67 1.26 1656 3.24 1.54 1657 2.38 2.22 1658 4.56 3.01 1659 2.83 3.51 1660 6.17 4.64 1661 11.00 5.64 1662 6.58 5.76 1663 1.85 6.92 1664 3.28 6.74 1665 7.57 5.88 1666 2.52 4.88 1667 1.45 4.16 1668 0.93 2.31 1669 0.70 2.01 1670 1.03 2.21 1671 5.41 2.87 1672 10.15 3.45 1673 9.15 4.94 1674 6.70 6.47 1675 2.88 7.20 1676 4.92 6.57 1677 4.22 6.13 1678 2.24 4.50 1679 1.01 2.87 1680 1.62 1.78 1681 2.11 1.68 1682 2.79 1.92 1683 1.82 2.53 1684 4.02 3.62 1685 9.41 5.51 1686 2.82 9.21 1687 2.38 10.72 1688 13.35 10.57 1689 11.21 9.94 1690 3.61 8.84 1691 5.49 5.52 1692 4.91 3.80 1693 1.61 3.72 1694 2.94 3.65 1695 1.27 3.36 1696 2.20 4.19 1697 5.23 4.91 1698 4.50 4.98 1699 3.50 5.42 1700 2.14 5.74 1701 1.15 1.21 1702 0.55 1.10 1703 1.20 1.01 1704 1.54 0.95 1705 1.71 1.03 1706 1.49 1.22 1707 0.46 1.41 1708 0.63 2.16 1709 0.94 2.64 1710 1.59 3.70 1711 5.27 4.60 1712 4.68 5.16 1713 1.78 6.25 1714 8.71 6.23 1715 8.68 5.55 1716 2.69 4.83 1717 2.41 4.21 1718 1.36 2.58 1719 2.04 2.16 1720 3.68 2.37 1721 3.73 3.04 1722 2.84 3.66 1723 21.14 5.24 1724 10.48 6.68 1725 14.25 7.27 1726 6.72 6.63 1727 1.35 6.39 1728 1.82 4.73 1729 1.01 3.28 1730 0.91 2.22 1731 1.52 2.02 1732 1.58 1.96 1733 1.39 2.36 1734 1.88 3.49 1735 18.06 4.80 1736 15.67 6.03 1737 5.05 7.07 1738 4.09 7.04 1739 4.30 6.25 1740 7.79 5.61 1741 3.28 4.58 1742 0.88 3.32 1743 2.33 3.15 1744 0.87 3.18 1745 1.48 2.85 1746 3.35 3.79 1747 3.81 4.44 1748 6.67 4.67 1749 4.54 5.05 1750 2.35 5.51 1751 2.49 1.23 1752 1.00 1.09 1753 0.40 0.98 1754 0.92 0.84 1755 1.09 0.74 1756 0.50 0.70 1757 0.16 0.77 1758 0.79 1.32 1759 0.51 1.76 1760 2.92 2.57 1761 1.75 3.21 1762 1.19 3.86 1763 0.84 5.04 1764 1.19 5.17 1765 2.84 4.91 1766 2.18 4.86 1767 1.04 4.35 1768 2.41 2.83 1769 2.97 2.40 1770 5.51 2.60 1771 4.84 3.07 1772 6.61 3.68 1773 3.94 5.18 1774 4.77 6.39 1775 8.84 6.86 1776 8.23 6.22 1777 2.73 6.10 1778 1.34 4.66 1779 0.77 3.55 1780 2.26 2.64 1781 3.92 2.39 1782 3.08 2.19 1783 2.33 2.30 1784 14.65 3.09 1785 6.55 3.60 1786 11.41 4.60 1787 5.26 5.49 1788 18.76 5.67 1789 3.59 4.99 1790 4.20 4.88 1791 3.42 3.93 1792 2.00 2.71 1793 1.93 2.37 1794 3.20 2.33 1795 4.27 1.99 1796 2.71 2.44 1797 2.51 2.64 1798 2.94 2.87 1799 2.79 3.00 1800 4.55 3.21 1801 0.40 1.23 1802 1.30 1.05 1803 0.35 0.92 1804 0.24 0.65 1805 0.43 0.50 1806 0.56 0.39 1807 0.31 0.39 1808 0.28 0.62 1809 0.15 0.83 1810 0.59 1.56 1811 0.54 2.19 1812 0.57 2.85 1813 0.68 3.19 1814 1.53 3.51 1815 2.07 3.37 1816 1.13 3.75 1817 2.27 3.34 1818 4.04 3.00 1819 5.07 2.72 1820 7.21 2.89 1821 9.70 2.64 1822 3.17 2.85 1823 8.80 4.02 1824 7.23 5.27 1825 19.39 5.71 1826 15.53 5.59 1827 5.32 6.05 1828 3.24 5.05 1829 8.43 4.03 1830 6.63 3.26 1831 5.09 2.93 1832 4.29 2.49 1833 6.41 2.45 1834 7.71 2.82 1835 11.42 3.05 1836 15.16 3.52 1837 8.75 3.73 1838 3.64 3.86 1839 5.31 3.29 1840 2.22 3.23 1841 2.71 2.57 1842 1.11 1.95 1843 0.39 1.62 1844 1.14 1.45 1845 1.09 1.12 1846 0.63 1.25 1847 0.46 1.49 1848 1.05 1.65 1849 1.17 1.86 1850 6.77 1.94 1851 0.56 0.99 1852 1.53 0.85 1853 0.80 0.73 1854 0.46 0.50 1855 0.32 0.35 1856 0.16 0.24 1857 0.06 0.22 1858 0.09 0.31 1859 0.15 0.48 1860 0.24 1.04 1861 0.36 1.59 1862 1.10 2.13 1863 0.50 2.55 1864 1.03 2.74 1865 1.54 2.76 1866 2.57 3.35 1867 2.61 3.04 1868 18.31 2.79 1869 5.25 2.66 1870 14.12 2.80 1871 6.01 2.14 1872 1.96 2.28 1873 1.45 2.71 1874 2.41 3.49 1875 3.90 3.85 1876 15.12 4.40 1877 5.33 6.03 1878 3.77 6.00 1879 5.39 6.04 1880 12.10 5.33 1881 1.98 4.67 1882 4.01 3.08 1883 3.21 2.75 1884 2.45 2.24 1885 1.97 2.27 1886 4.88 2.15 1887 4.42 2.14 1888 6.22 2.13 1889 9.08 1.68 1890 1.66 1.35 1891 1.06 1.15 1892 0.89 0.84 1893 0.15 0.67 1894 0.18 0.69 1895 0.62 0.68 1896 0.56 0.82 1897 0.59 0.99 1898 3.62 1.16 1899 2.21 1.26 1900 4.77 1.53 1901 0.61 0.88 1902 0.70 0.74 1903 0.28 0.63 1904 0.34 0.51 1905 0.12 0.36 1906 0.24 0.20 1907 0.26 0.19 1908 0.10 0.26 1909 0.43 0.37 1910 0.53 0.47 1911 0.24 0.86 1912 0.26 1.25 1913 0.46 1.45 1914 1.18 1.67 1915 0.48 2.04 1916 2.07 2.59 1917 1.95 2.44 1918 12.17 2.41 1919 1.64 2.35 1920 2.15 2.30 1921 1.68 1.63 1922 1.68 1.74 1923 2.06 1.85 1924 1.24 2.34 1925 2.15 2.80 1926 2.17 3.48 1927 3.56 5.43 1928 2.33 5.97 1929 7.73 6.48 1930 7.85 6.14 1931 3.89 5.63 1932 7.96 3.81 1933 4.22 3.22 1934 1.43 2.23 1935 1.79 2.03 1936 0.93 1.67 1937 3.20 1.49 1938 6.17 1.37 1939 2.56 1.15 1940 3.51 0.87 1941 1.50 0.78 1942 0.32 0.58 1943 0.22 0.48 1944 0.29 0.51 1945 0.27 0.51 1946 0.09 0.62 1947 0.48 0.74 1948 0.81 0.86 1949 1.01 0.91 1950 1.32 1.12 1951 1.48 0.92 1952 0.92 0.81 1953 2.07 0.71 1954 0.75 0.60 1955 0.22 0.43 1956 0.53 0.30 1957 0.19 0.26 1958 0.18 0.29 1959 0.10 0.36 1960 0.20 0.41 1961 0.08 0.69 1962 0.19 1.02 1963 0.26 1.26 1964 0.99 1.53 1965 0.48 2.03 1966 1.31 2.60 1967 1.55 2.59 1968 1.95 2.56 1969 1.98 2.56 1970 2.51 2.33 1971 0.57 1.65 1972 1.89 1.58 1973 0.86 1.50 1974 0.37 1.88 1975 1.32 2.22 1976 3.16 2.99 1977 2.55 5.09 1978 6.55 7.30 1979 46.53 8.53 1980 7.98 8.61 1981 18.98 8.20 1982 2.70 6.27 1983 3.84 4.18 1984 2.89 2.31 1985 4.41 1.81 1986 1.67 1.29 1987 1.07 1.02 1988 0.55 0.83 1989 0.53 0.80 1990 0.86 0.58 1991 0.37 0.54 1992 0.85 0.38 1993 0.30 0.32 1994 0.24 0.33 1995 0.51 0.35 1996 0.50 0.43 1997 0.43 0.59 1998 0.65 0.70 1999 0.83 0.75 2000 0.95 0.90 2001 1.03 1.54 2002 1.63 1.33 2003 1.52 1.17 2004 0.77 0.80 2005 0.78 0.56 2006 0.49 0.42 2007 0.10 0.33 2008 0.20 0.27 2009 0.10 0.28 2010 0.13 0.30 2011 0.11 0.54 2012 0.24 0.82 2013 0.46 1.14 2014 0.55 1.45 2015 0.75 2.00 2016 6.30 2.50 2017 3.10 2.71 2018 5.11 2.65 2019 5.45 2.65 2020 0.70 2.36 2021 1.98 1.76 2022 0.70 1.47 2023 1.52 1.31 2024 1.35 1.52 2025 0.44 1.78 2026 4.32 2.54 2027 3.40 4.81 2028 11.27 7.62 2029 43.50 9.16 2030 10.80 9.54 2031 11.08 9.31 2032 6.21 7.29 2033 5.62 4.65 2034 6.39 2.63 2035 3.30 1.79 2036 1.02 1.10 2037 0.22 0.78 2038 0.61 0.52 2039 0.85 0.53 2040 0.29 0.45 2041 0.16 0.46 2042 0.72 0.36 2043 0.43 0.38 2044 0.14 0.38 2045 0.40 0.39 2046 1.96 0.47 2047 0.24 0.58 2048 1.31 0.67 2049 1.28 0.74 2050 1.74 0.89 2051 2.33 1.98 2052 4.39 1.70 2053 3.57 1.50 2054 3.11 1.03 2055 1.81 0.71 2056 0.52 0.54 2057 0.67 0.43 2058 0.39 0.36 2059 0.45 0.34 2060 0.32 0.32 2061 0.12 0.36 2062 0.24 0.48 2063 0.12 0.74 2064 0.53 1.04 2065 1.37 1.56 2066 19.39 1.91 2067 7.78 2.50 2068 19.44 2.56 2069 10.13 2.53 2070 1.27 2.17 2071 1.09 1.93 2072 3.37 1.39 2073 1.03 1.18 2074 1.17 1.33 2075 1.38 1.63 2076 1.00 2.39 2077 2.35 4.60 2078 6.47 7.70 2079 42.47 9.38 2080 58.32 10.26 2081 17.19 10.10 2082 22.75 8.21 2083 8.21 5.25 2084 2.69 3.21 2085 1.88 1.88 2086 0.60 1.09 2087 0.44 0.65 2088 0.34 0.43 2089 0.63 0.44 2090 0.30 0.45 2091 0.64 0.52 2092 0.63 0.50 2093 0.46 0.66 2094 0.26 0.65 2095 0.45 0.66 2096 1.06 0.70 2097 0.47 0.82 2098 0.46 0.97 2099 2.61 1.10 2100 9.77 1.32 2101 9.03 2.32 2102 14.72 2.05 2103 3.91 1.88 2104 2.35 1.33 2105 2.30 1.01 2106 0.28 0.87 2107 0.81 0.70 2108 0.18 0.52 2109 0.39 0.45 2110 0.37 0.37 2111 0.20 0.29 2112 0.27 0.31 2113 0.11 0.53 2114 0.44 0.85 2115 1.04 1.35 2116 3.66 1.65 2117 2.76 2.36 2118 6.73 2.46 2119 7.63 2.49 2120 5.15 2.19 2121 1.59 2.05 2122 2.55 1.48 2123 2.56 1.29 2124 6.68 1.25 2125 2.57 1.47 2126 1.18 1.87 2127 1.07 3.14 2128 2.72 6.18 2129 2.76 7.66 2130 13.37 8.96 2131 21.08 10.26 2132 21.57 9.53 2133 3.46 6.65 2134 3.15 4.94 2135 2.20 3.28 2136 0.60 1.41 2137 0.37 0.75 2138 0.30 0.55 2139 1.39 0.62 2140 0.46 0.71 2141 2.91 0.86 2142 0.77 0.88 2143 0.64 1.05 2144 0.51 1.03 2145 1.08 1.04 2146 1.04 1.03 2147 0.83 1.20 2148 3.27 1.33 2149 3.56 1.47 2150 4.62 1.66 2151 2.41 2.39 2152 8.97 2.22 2153 2.08 2.09 2154 1.77 1.47 2155 3.99 1.15 2156 0.69 1.09 2157 0.69 0.89 2158 1.06 0.63 2159 2.41 0.50 2160 0.19 0.40 2161 0.06 0.31 2162 0.07 0.26 2163 0.07 0.49 2164 0.27 0.75 2165 0.51 1.21 2166 1.87 1.46 2167 1.38 2.17 2168 2.16 2.31 2169 5.40 2.38 2170 8.01 2.22 2171 0.82 2.15 2172 2.35 1.57 2173 1.98 1.37 2174 5.75 1.22 2175 3.96 1.10 2176 2.21 1.44 2177 1.16 2.32 2178 2.58 5.15 2179 5.54 6.66 2180 5.46 8.19 2181 42.96 9.55 2182 5.39 9.28 2183 2.68 6.70 2184 2.35 5.11 2185 1.32 3.67 2186 0.73 1.90 2187 0.18 1.60 2188 0.29 1.46 2189 1.23 1.52 2190 1.37 1.45 2191 2.10 1.62 2192 1.83 1.26 2193 2.41 1.31 2194 1.48 1.43 2195 3.46 1.49 2196 2.19 1.56 2197 2.74 2.00 2198 2.17 2.17 2199 4.32 2.32 2200 10.60 2.63 2201 1.54 2.62 2202 4.09 2.42 2203 1.12 2.31 2204 0.89 1.67 2205 1.38 1.35 2206 1.33 1.23 2207 1.16 1.06 2208 0.56 0.75 2209 0.62 0.61 2210 0.13 0.52 2211 0.03 0.36 2212 0.05 0.25 2213 0.07 0.41 2214 0.18 0.60 2215 0.62 0.90 2216 0.35 1.14 2217 0.79 1.74 2218 2.96 1.89 2219 3.13 1.92 2220 1.65 1.89 2221 1.79 1.83 2222 0.95 1.37 2223 1.67 1.24 2224 1.52 1.20 2225 3.43 1.07 2226 1.82 1.26 2227 1.41 2.00 2228 1.21 3.30 2229 5.05 5.18 2230 6.85 7.03 2231 20.24 8.91 2232 5.38 9.09 2233 6.65 8.10 2234 4.15 6.33 2235 1.41 4.83 2236 1.38 3.25 2237 0.64 2.80 2238 0.38 2.79 2239 2.54 2.69 2240 3.52 2.42 2241 1.10 2.12 2242 1.01 1.68 2243 2.55 1.56 2244 1.30 1.79 2245 2.76 1.96 2246 2.46 2.20 2247 6.02 2.62 2248 3.35 2.94 2249 10.90 3.11 2250 11.79 3.46 2251 4.90 2.27 2252 4.52 2.27 2253 1.38 2.20 2254 1.03 1.83 2255 1.63 1.63 2256 1.71 1.45 2257 0.96 1.26 2258 1.00 0.96 2259 0.81 0.80 2260 0.24 0.68 2261 0.13 0.50 2262 0.05 0.37 2263 0.09 0.46 2264 0.63 0.54 2265 0.33 0.74 2266 0.60 0.90 2267 1.57 1.26 2268 2.14 1.39 2269 1.51 1.47 2270 1.12 1.46 2271 2.03 1.41 2272 2.78 1.07 2273 1.00 1.00 2274 1.06 0.98 2275 3.17 0.92 2276 1.09 1.11 2277 0.97 1.75 2278 2.46 2.81 2279 1.98 4.76 2280 5.56 6.92 2281 5.54 9.00 2282 7.53 10.22 2283 10.20 9.61 2284 13.30 7.96 2285 1.12 6.27 2286 4.60 4.70 2287 3.67 3.48 2288 5.93 3.58 2289 3.96 3.43 2290 2.18 3.50 2291 2.15 3.09 2292 2.75 2.65 2293 2.72 2.38 2294 2.40 4.04 2295 1.72 3.95 2296 4.80 4.51 2297 24.83 5.00 2298 6.54 5.57 2299 11.45 4.47 2300 11.61 4.88 2301 2.04 2.15 2302 1.99 2.29 2303 2.45 2.32 2304 0.72 2.18 2305 2.22 2.16 2306 0.81 2.07 2307 1.02 2.09 2308 1.03 1.69 2309 1.54 1.43 2310 0.10 1.22 2311 0.88 0.87 2312 0.40 0.47 2313 0.18 0.56 2314 0.34 0.62 2315 0.83 0.72 2316 0.50 0.85 2317 1.69 0.91 2318 2.35 0.99 2319 1.14 1.06 2320 0.75 1.10 2321 0.73 1.01 2322 0.89 0.92 2323 1.27 0.86 2324 0.94 0.83 2325 1.03 0.76 2326 2.15 0.81 2327 0.60 1.51 2328 1.81 2.39 2329 6.95 4.65 2330 5.74 6.89 2331 14.78 10.31 2332 15.77 11.87 2333 18.22 11.63 2334 9.61 10.01 2335 3.88 8.36 2336 3.68 5.84 2337 3.64 4.44 2338 6.45 5.08 2339 15.24 4.75 2340 3.30 4.90 2341 2.67 4.54 2342 5.98 4.31 2343 5.94 3.26 2344 1.54 5.18 2345 5.42 5.16 2346 13.30 5.74 2347 17.52 5.96 2348 9.01 6.61 2349 3.18 5.30 2350 4.15 5.63 2351 0.40 2.33 2352 2.02 2.60 2353 5.65 2.80 2354 1.96 3.47 2355 1.07 3.98 2356 1.60 3.81 2357 2.17 3.72 2358 3.35 3.15 2359 3.61 2.26 2360 0.34 1.53 2361 0.46 1.06 2362 0.63 0.63 2363 0.47 0.68 2364 0.31 0.71 2365 0.24 0.79 2366 0.85 0.89 2367 0.53 0.89 2368 0.88 0.88 2369 0.47 0.84 2370 0.15 0.85 2371 0.22 0.78 2372 0.14 0.71 2373 0.96 0.65 2374 0.18 0.67 2375 0.29 0.63 2376 1.33 0.75 2377 2.43 1.47 2378 2.10 2.81 2379 2.48 5.47 2380 4.46 7.59 2381 8.21 11.60 2382 13.89 13.23 2383 102.70 14.38 2384 9.46 12.83 2385 3.77 11.47 2386 4.59 8.46 2387 3.91 7.11 2388 24.93 6.65 2389 6.50 5.91 2390 5.20 5.89 2391 7.96 5.75 2392 3.41 5.75 2393 5.13 4.08 2394 6.12 5.90 2395 7.22 6.34 2396 24.03 6.58 2397 10.53 6.35 2398 7.92 7.00 2399 6.28 5.84 2400 8.15 5.61 2401 0.15 2.42 2402 0.48 2.71 2403 0.97 2.97 2404 0.63 3.89 2405 0.49 4.59 2406 2.36 4.41 2407 0.78 4.37 2408 1.89 3.74 2409 2.28 2.70 2410 0.61 1.80 2411 0.88 1.22 2412 0.52 0.73 2413 0.56 0.75 2414 0.43 0.75 2415 0.22 0.80 2416 1.48 0.91 2417 1.56 0.88 2418 0.56 0.83 2419 0.48 0.74 2420 0.15 0.69 2421 0.18 0.61 2422 0.26 0.54 2423 0.34 0.48 2424 0.14 0.52 2425 0.32 0.55 2426 1.75 0.65 2427 6.34 1.56 2428 20.35 3.18 2429 6.16 6.36 2430 9.06 8.81 2431 10.13 13.68 2432 41.99 15.53 2433 9.35 16.89 2434 16.11 15.12 2435 8.30 13.38 2436 5.01 9.68 2437 5.02 7.70 2438 4.60 7.10 2439 13.73 6.17 2440 8.80 6.35 2441 15.31 6.18 2442 4.19 6.65 2443 3.70 4.70 2444 10.08 6.80 2445 10.63 7.29 2446 13.49 7.49 2447 6.31 6.86 2448 5.09 7.61 2449 8.40 6.15 2450 3.83 5.68 2451 0.20 2.35 2452 0.14 2.81 2453 1.43 3.16 2454 0.87 4.50 2455 1.19 5.58 2456 5.88 5.43 2457 4.02 5.36 2458 8.12 4.65 2459 0.86 3.29 2460 1.89 2.10 2461 0.93 1.43 2462 0.68 0.85 2463 0.44 0.85 2464 0.40 0.82 2465 0.32 0.87 2466 0.99 0.96 2467 0.99 0.93 2468 0.82 0.87 2469 0.27 0.77 2470 0.09 0.69 2471 0.03 0.54 2472 0.05 0.42 2473 0.36 0.31 2474 0.13 0.35 2475 0.03 0.41 2476 0.36 0.61 2477 1.52 1.52 2478 2.32 3.60 2479 2.91 6.03 2480 8.13 8.36 2481 12.08 13.96 2482 5.49 16.22 2483 27.14 17.93 2484 29.36 17.08 2485 35.38 15.32 2486 14.50 10.40 2487 1.96 8.04 2488 7.88 7.10 2489 9.68 6.10 2490 13.57 6.68 2491 34.58 7.22 2492 13.59 8.03 2493 4.26 5.70 2494 3.73 8.36 2495 1.43 8.84 2496 7.11 8.82 2497 9.26 7.97 2498 1.86 8.62 2499 1.12 6.59 2500 1.65 5.83 > # read.standard("LAKE.txt") > > proc.time() user system elapsed 1.73 0.15 1.87