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These methods facilitate fairly straightforward predictions and simulations from wbm models.

Usage

# S3 method for wbm
predict(
  object,
  newdata = NULL,
  se.fit = FALSE,
  raw = FALSE,
  use.re.var = FALSE,
  re.form = NULL,
  type = c("link", "response"),
  allow.new.levels = TRUE,
  na.action = na.pass,
  ...
)

# S3 method for wbm
simulate(
  object,
  nsim = 1,
  seed = NULL,
  use.u = FALSE,
  newdata = NULL,
  raw = FALSE,
  newparams = NULL,
  re.form = NA,
  type = c("link", "response"),
  allow.new.levels = FALSE,
  na.action = na.pass,
  ...
)

Arguments

object

a fitted model object

newdata

data frame for which to evaluate predictions.

se.fit

Include standard errors with the predictions? Note that these standard errors by default include only fixed effects variance. See details for more info. Default is FALSE.

raw

Is newdata a merMod model frame or panel_data? TRUE indicates a merMod-style newdata, with all of the extra columns created by wbm.

use.re.var

If se.fit is TRUE, include random effects variance in standard errors? Default is FALSE.

re.form

(formula, NULL, or NA) specify which random effects to condition on when predicting. If NULL, include all random effects; if NA or ~0, include no random effects.

type

character string - either "link", the default, or "response" indicating the type of prediction object returned.

allow.new.levels

logical if new levels (or NA values) in newdata are allowed. If FALSE (default), such new values in newdata will trigger an error; if TRUE, then the prediction will use the unconditional (population-level) values for data with previously unobserved levels (or NAs).

na.action

function determining what should be done with missing values for fixed effects in newdata. The default is to predict NA: see na.pass.

...

When boot and se.fit are TRUE, any additional arguments are passed to lme4::bootMer().

nsim

positive integer scalar - the number of responses to simulate.

seed

an optional seed to be used in set.seed immediately before the simulation so as to generate a reproducible sample.

use.u

(logical) if TRUE, generate a simulation conditional on the current random-effects estimates; if FALSE generate new Normally distributed random-effects values. (Redundant with re.form, which is preferred: TRUE corresponds to re.form = NULL (condition on all random effects), while FALSE corresponds to re.form = ~0 (condition on none of the random effects).)

newparams

new parameters to use in evaluating predictions, specified as in the start parameter for lmer or glmer -- a list with components theta and beta and (for LMMs or GLMMs that estimate a scale parameter) sigma

Examples

data("WageData")
wages <- panel_data(WageData, id = id, wave = t)
model <- wbm(lwage ~ lag(union) + wks, data = wages)
# By default, assumes you're using the processed data for newdata
predict(model)
#>        1        2        3        4        5        6        7        8 
#> 5.517739 5.522721 5.524382 5.519400 5.531025 5.536007 6.570775 6.560811 
#>        9       10       11       12       13       14       15       16 
#> 6.618618 6.565793 6.554168 6.565793 6.538659 6.540320 6.536999 6.536999 
#>       17       18       19       20       21       22       23       24 
#> 6.536999 6.546963 6.152707 6.152707 6.147725 6.156029 6.142743 6.152707 
#>       25       26       27       28       29       30       31       32 
#> 7.231077 7.241041 7.224434 7.176591 7.176591 7.173269 7.491710 7.491710 
#>       33       34       35       36       37       38       39       40 
#> 7.491710 7.496693 7.495032 7.491710 5.982628 5.980967 5.985949 5.984289 
#>       41       42       43       44       45       46       47       48 
#> 5.984289 5.982628 6.512471 6.512471 6.512471 6.522436 6.510810 6.510810 
#>       49       50       51       52       53       54       55       56 
#> 7.148488 7.145166 7.148488 7.148488 7.155131 7.148488 6.393416 6.395077 
#>       57       58       59       60       61       62       63       64 
#> 6.398398 6.400059 6.415006 6.405041 7.223344 7.228327 7.228327 7.225005 
#>       65       66       67       68       69       70       71       72 
#> 7.274828 7.225005 6.861596 6.859935 6.859935 6.859935 6.859935 6.861596 
#>       73       74       75       76       77       78       79       80 
#> 7.630431 7.627110 7.630431 7.630431 7.633753 7.633753 7.307389 7.307389 
#>       81       82       83       84       85       86       87       88 
#> 7.309050 7.309050 7.309050 7.309050 5.768173 5.764851 5.768173 5.764851 
#>       89       90       91       92       93       94       95       96 
#> 5.776477 5.764851 5.428018 5.431339 5.431339 5.428018 5.428018 5.429678 
#>       97       98       99      100      101      102      103      104 
#> 7.030700 7.029039 7.027379 7.025718 7.034022 7.032361 8.336246 8.334585 
#>      105      106      107      108      109      110      111      112 
#> 8.334585 8.334585 8.332924 8.334585 6.710576 6.708915 6.713898 6.713898 
#>      113      114      115      116      117      118      119      120 
#> 6.750435 6.725523 7.377348 7.377348 7.379009 7.379009 7.377348 7.379009 
#>      121      122      123      124      125      126      127      128 
#> 5.819861 5.814878 5.814878 5.816539 5.821521 5.826504 6.906967 6.908627 
#>      129      130      131      132      133      134      135      136 
#> 6.905306 6.903645 6.897002 6.903645 8.431190 8.429529 8.431190 8.434512 
#>      137      138      139      140      141      142      143      144 
#> 8.436172 8.431190 4.780106 4.780106 4.778445 4.783428 4.780106 4.834592 
#>      145      146      147      148      149      150      151      152 
#> 6.898416 6.896755 6.900077 6.900077 6.898416 6.895094 7.386841 7.383520 
#>      153      154      155      156      157      158      159      160 
#> 7.385181 7.386841 7.386841 7.385181 7.432815 7.439458 7.436136 7.436136 
#>      161      162      163      164      165      166      167      168 
#> 7.444440 7.480977 6.713583 6.713583 6.713583 6.713583 6.715244 6.715244 
#>      169      170      171      172      173      174      175      176 
#> 7.929907 7.929907 7.929907 7.928246 7.929907 7.929907 6.200510 6.198849 
#>      177      178      179      180      181      182      183      184 
#> 6.197189 6.197189 6.203832 6.197189 7.911141 7.911141 7.912802 7.919445 
#>      185      186      187      188      189      190      191      192 
#> 7.912802 7.916123 8.227316 8.227316 8.228977 8.227316 8.230638 8.230638 
#>      193      194      195      196      197      198      199      200 
#> 7.679049 7.672406 7.679049 7.677389 7.674067 7.675728 5.368546 5.368546 
#>      201      202      203      204      205      206      207      208 
#> 5.366885 5.365224 5.368546 5.371867 6.855624 6.857284 6.855624 6.880535 
#>      209      210      211      212      213      214      215      216 
#> 6.857284 6.862267 7.298455 7.293473 7.293473 7.296794 7.293473 7.308420 
#>      217      218      219      220      221      222      223      224 
#> 7.446219 7.441237 7.442898 7.441237 7.444558 7.442898 5.950087 5.951748 
#>      225      226      227      228      229      230      231      232 
#> 5.951748 5.950087 5.951748 5.950087 6.579269 6.584251 6.580930 6.580930 
#>      233      234      235      236      237      238      239      240 
#> 6.577608 6.579269 6.923282 6.934908 6.929925 6.909996 6.913318 6.909996 
#>      241      242      243      244      245      246      247      248 
#> 8.043956 8.043956 8.043956 8.043956 8.047277 8.048938 6.786339 6.769731 
#>      249      250      251      252      253      254      255      256 
#> 6.771392 6.784678 6.771392 6.773053 7.469961 7.468301 7.466640 7.471622 
#>      257      258      259      260      261      262      263      264 
#> 7.473283 7.466640 7.859814 7.859814 7.861475 7.863136 7.863136 7.863136 
#>      265      266      267      268      269      270      271      272 
#> 6.299886 6.299886 6.299886 6.299886 6.299886 6.301547 6.147968 6.141325 
#>      273      274      275      276      277      278      279      280 
#> 6.142986 6.141325 6.142986 6.142986 7.377463 7.379124 7.379124 7.379124 
#>      281      282      283      284      285      286      287      288 
#> 7.380785 7.379124 7.587978 7.587978 7.587978 7.591299 7.602925 7.589639 
#>      289      290      291      292      293      294      295      296 
#> 8.313473 8.311812 8.310151 8.311812 8.308491 8.310151 6.553717 6.557038 
#>      297      298      299      300      301      302      303      304 
#> 6.548734 6.552056 6.575307 6.581950 8.431155 8.431155 8.432816 8.431155 
#>      305      306      307      308      309      310      311      312 
#> 8.432816 8.437798 7.861420 7.861420 7.863081 7.863081 7.863081 7.861420 
#>      313      314      315      316      317      318      319      320 
#> 7.326326 7.327987 7.326326 7.327987 7.329648 7.327987 6.912618 6.914279 
#>      321      322      323      324      325      326      327      328 
#> 6.914279 6.917600 6.917600 6.915940 7.222885 7.222885 7.226206 7.224545 
#>      329      330      331      332      333      334      335      336 
#> 7.226206 7.227867 6.074989 6.070006 6.070006 6.076649 6.073328 6.073328 
#>      337      338      339      340      341      342      343      344 
#> 6.062539 6.062539 6.062539 6.065860 6.064199 6.064199 7.109164 7.122450 
#>      345      346      347      348      349      350      351      352 
#> 7.109164 7.056339 7.109164 7.109164 7.999909 8.001570 8.003230 8.004891 
#>      353      354      355      356      357      358      359      360 
#> 8.001570 8.004891 5.572753 5.564449 5.556146 5.557806 5.559467 5.566110 
#>      361      362      363      364      365      366      367      368 
#> 7.160871 7.108046 7.109707 7.156208 7.124654 7.149565 7.261023 7.261023 
#>      369      370      371      372      373      374      375      376 
#> 7.261023 7.262684 7.262684 7.262684 8.029370 8.027709 8.029370 8.029370 
#>      377      378      379      380      381      382      383      384 
#> 8.031030 8.027709 6.454353 6.449371 6.451032 6.456014 6.452693 6.447710 
#>      385      386      387      388      389      390      391      392 
#> 6.995044 6.993383 6.991723 7.008330 6.993383 6.993383 6.556875 6.560196 
#>      393      394      395      396      397      398      399      400 
#> 6.556875 6.560196 6.565178 6.558535 5.840121 5.841781 5.840121 5.840121 
#>      401      402      403      404      405      406      407      408 
#> 5.840121 5.841781 6.705823 6.714127 6.709144 6.705823 6.705823 6.707484 
#>      409      410      411      412      413      414      415      416 
#> 6.697143 6.695482 6.695482 6.695482 6.693822 6.693822 6.879688 6.878027 
#>      417      418      419      420      421      422      423      424 
#> 6.878027 6.879688 6.879688 6.879688 7.369381 7.369381 7.371042 7.374363 
#>      425      426      427      428      429      430      431      432 
#> 7.371042 7.371042 6.892009 6.888687 6.892009 6.892009 6.892009 6.888687 
#>      433      434      435      436      437      438      439      440 
#> 6.929709 6.929709 6.931370 6.933031 6.933031 6.933031 4.799989 4.799989 
#>      441      442      443      444      445      446      447      448 
#> 4.809953 4.801650 4.801650 4.798328 5.819561 5.819561 5.864401 5.821221 
#>      449      450      451      452      453      454      455      456 
#> 5.819561 5.826204 5.277118 5.272136 5.275457 5.277118 5.329943 5.326622 
#>      457      458      459      460      461      462      463      464 
#> 5.567704 5.569365 5.571026 5.589294 5.605902 5.589294 5.487148 5.497113 
#>      465      466      467      468      469      470      471      472 
#> 5.493791 5.492130 5.490470 5.490470 4.923102 4.923102 4.923102 4.944691 
#>      473      474      475      476      477      478      479      480 
#> 4.923102 4.923102 7.182105 7.182105 7.182105 7.182105 7.182105 7.182105 
#>      481      482      483      484      485      486      487      488 
#> 6.906532 6.908193 6.904871 6.904871 6.852046 6.850385 7.030313 7.038617 
#>      489      490      491      492      493      494      495      496 
#> 7.048582 7.030313 7.028653 7.051903 6.117151 6.115491 6.123795 6.113830 
#>      497      498      499      500      501      502      503      504 
#> 6.115491 6.117151 6.691234 6.667983 6.671304 6.666322 6.691234 6.669644 
#>      505      506      507      508      509      510      511      512 
#> 6.197892 6.196231 6.196231 6.199553 6.196231 6.197892 6.637413 6.655681 
#>      513      514      515      516      517      518      519      520 
#> 6.637413 6.654020 6.634091 6.639073 7.027617 7.055850 7.025956 7.032599 
#>      521      522      523      524      525      526      527      528 
#> 7.027617 7.027617 6.911910 6.911910 6.911910 6.911910 6.913571 6.910250 
#>      529      530      531      532      533      534      535      536 
#> 6.221271 6.216289 6.216289 6.217949 6.217949 6.217949 6.036393 6.036393 
#>      537      538      539      540      541      542      543      544 
#> 6.036393 6.038054 6.038054 6.034732 6.999407 6.967853 6.951245 6.951245 
#>      545      546      547      548      549      550      551      552 
#> 6.962870 6.964531 6.746817 6.753460 6.765085 6.748478 6.799961 6.697313 
#>      553      554      555      556      557      558      559      560 
#> 6.280561 6.199503 6.201164 6.253989 6.260632 6.285543 7.373128 7.369807 
#>      561      562      563      564      565      566      567      568 
#> 7.373128 7.369807 7.364825 7.376450 6.447583 6.469173 6.449244 6.450905 
#>      569      570      571      572      573      574      575      576 
#> 6.449244 6.449244 7.986805 7.986805 7.988466 7.988466 7.990126 7.988466 
#>      577      578      579      580      581      582      583      584 
#> 6.274580 6.274580 6.276240 6.276240 6.276240 6.277901 7.403941 7.403941 
#>      585      586      587      588      589      590      591      592 
#> 7.403941 7.407263 7.407263 7.407263 5.386107 5.384446 5.392750 5.389428 
#>      593      594      595      596      597      598      599      600 
#> 5.392750 5.386107 6.085601 6.085601 6.085601 6.087262 6.085601 6.085601 
#>      601      602      603      604      605      606      607      608 
#> 7.253096 7.271364 7.254757 7.259739 7.258078 7.256418 7.395243 7.396904 
#>      609      610      611      612      613      614      615      616 
#> 7.398564 7.396904 7.396904 7.396904 7.047883 7.032936 7.034597 7.036258 
#>      617      618      619      620      621      622      623      624 
#> 7.036258 7.034597 5.330941 5.332602 5.332602 5.332602 5.334262 5.335923 
#>      625      626      627      628      629      630      631      632 
#> 7.201408 7.203069 7.201408 7.199747 7.204730 7.203069 6.547316 6.548977 
#>      633      634      635      636      637      638      639      640 
#> 6.550638 6.550638 6.552299 6.550638 7.668839 7.668839 7.673822 7.680465 
#>      641      642      643      644      645      646      647      648 
#> 7.678804 7.670500 6.530503 6.487643 6.533825 6.535486 6.537146 6.540468 
#>      649      650      651      652      653      654      655      656 
#> 7.503296 7.450471 7.452132 7.452132 7.452132 7.448810 6.806925 6.806925 
#>      657      658      659      660      661      662      663      664 
#> 6.806925 6.805264 6.805264 6.816890 6.600928 6.600928 6.600928 6.597607 
#>      665      666      667      668      669      670      671      672 
#> 6.595946 6.600928 7.629908 7.629908 7.631569 7.634890 7.634890 7.631569 
#>      673      674      675      676      677      678      679      680 
#> 8.004272 7.981022 7.984343 7.984343 7.999290 7.999290 6.109721 6.109721 
#>      681      682      683      684      685      686      687      688 
#> 6.109721 6.111382 6.111382 6.111382 7.281909 7.281909 7.281909 7.281909 
#>      689      690      691      692      693      694      695      696 
#> 7.281909 7.283569 7.140237 7.141898 7.143558 7.140237 7.141898 7.143558 
#>      697      698      699      700      701      702      703      704 
#> 6.816175 6.864017 6.859035 6.864017 6.883947 6.857374 6.918905 6.918905 
#>      705      706      707      708      709      710      711      712 
#> 6.920566 6.930530 6.927209 6.920566 9.030735 9.029074 9.032396 9.027414 
#>      713      714      715      716      717      718      719      720 
#> 9.030735 9.030735 6.822981 6.822981 6.824642 6.822981 6.822981 6.824642 
#>      721      722      723      724      725      726      727      728 
#> 8.054791 8.054791 8.056451 8.054791 8.053130 8.054791 7.037452 7.037452 
#>      729      730      731      732      733      734      735      736 
#> 7.035791 7.037452 7.035791 7.034130 6.881996 6.870371 6.875353 6.875353 
#>      737      738      739      740      741      742      743      744 
#> 6.888639 6.905247 7.776068 7.777728 7.777728 7.777728 7.777728 7.781050 
#>      745      746      747      748      749      750      751      752 
#> 6.442900 6.442900 6.442900 6.442900 6.442900 6.442900 6.237438 6.240760 
#>      753      754      755      756      757      758      759      760 
#> 6.237438 6.237438 6.239099 6.235778 7.625439 7.625439 7.630421 7.625439 
#>      761      762      763      764      765      766      767      768 
#> 7.623778 7.643707 6.213520 6.180304 6.233129 6.234790 6.246416 6.248076 
#>      769      770      771      772      773      774      775      776 
#> 5.914982 5.913322 5.913322 5.913322 5.913322 5.913322 6.837996 6.836335 
#>      777      778      779      780      781      782      783      784 
#> 6.836335 6.836335 6.836335 6.836335 6.882190 6.878869 6.878869 6.882190 
#>      785      786      787      788      789      790      791      792 
#> 6.890494 6.885512 8.033038 8.034699 8.034699 8.033038 8.041342 8.034699 
#>      793      794      795      796      797      798      799      800 
#> 6.711952 6.711952 6.711952 6.711952 6.711952 6.728560 5.739197 5.734215 
#>      801      802      803      804      805      806      807      808 
#> 5.737536 5.737536 5.739197 5.737536 7.300947 7.304269 7.302608 7.302608 
#>      809      810      811      812      813      814      815      816 
#> 7.302608 7.302608 7.697044 7.698705 7.697044 7.700366 7.703687 7.702026 
#>      817      818      819      820      821      822      823      824 
#> 7.192899 7.192899 7.192899 7.191238 7.192899 7.191238 8.056095 8.056095 
#>      825      826      827      828      829      830      831      832 
#> 8.054434 8.061077 8.056095 8.057755 7.063165 7.063165 7.064826 7.063165 
#>      833      834      835      836      837      838      839      840 
#> 7.066487 7.066487 6.583430 6.583430 6.581769 6.583430 6.600037 6.576786 
#>      841      842      843      844      845      846      847      848 
#> 5.717937 5.716276 5.706312 5.707972 5.707972 5.709633 7.008825 7.003842 
#>      849      850      851      852      853      854      855      856 
#> 7.005503 7.005503 7.005503 7.005503 6.723825 6.723825 6.723825 6.725486 
#>      857      858      859      860      861      862      863      864 
#> 6.725486 6.725486 6.600860 6.602521 6.602521 6.602521 6.604182 6.604182 
#>      865      866      867      868      869      870      871      872 
#> 7.582748 7.582748 7.582748 7.582748 7.582748 7.582748 7.603502 7.603502 
#>      873      874      875      876      877      878      879      880 
#> 7.603502 7.603502 7.603502 7.603502 7.158863 7.158863 7.158863 7.160524 
#>      881      882      883      884      885      886      887      888 
#> 7.157202 7.160524 6.252693 6.252693 6.257676 6.251033 6.252693 6.254354 
#>      889      890      891      892      893      894      895      896 
#> 7.045390 7.045390 7.045390 7.040408 7.045390 7.043730 6.806504 6.814808 
#>      897      898      899      900      901      902      903      904 
#> 6.789896 6.801522 6.798200 6.859648 6.511743 6.518386 6.513404 6.511743 
#>      905      906      907      908      909      910      911      912 
#> 6.515065 6.518386 4.733937 4.727294 4.735598 4.797046 4.797046 4.748884 
#>      913      914      915      916      917      918      919      920 
#> 6.248751 6.228822 6.230482 6.273662 6.227161 6.230482 7.116825 7.106860 
#>      921      922      923      924      925      926      927      928 
#> 7.115164 7.116825 7.105199 7.108521 7.285986 7.282664 7.282664 7.282664 
#>      929      930      931      932      933      934      935      936 
#> 7.282664 7.282664 7.114643 7.114643 7.114643 7.112982 7.112982 7.112982 
#>      937      938      939      940      941      942      943      944 
#> 6.652280 6.655601 6.655601 6.653940 6.653940 6.653940 7.044970 7.044970 
#>      945      946      947      948      949      950      951      952 
#> 7.044970 7.044970 7.044970 7.044970 6.522791 6.522791 6.517809 6.524452 
#>      953      954      955      956      957      958      959      960 
#> 6.521130 6.522791 7.250513 7.252174 7.253834 7.252174 7.252174 7.258817 
#>      961      962      963      964      965      966      967      968 
#> 6.410751 6.410751 6.410751 6.410751 6.420716 6.410751 5.937667 5.919399 
#>      969      970      971      972      973      974      975      976 
#> 5.919399 5.916078 5.916078 5.919399 6.039581 6.041242 6.044564 6.044564 
#>      977      978      979      980      981      982      983      984 
#> 6.042903 6.044564 6.203150 6.196507 6.196507 6.203150 6.204810 6.211454 
#>      985      986      987      988      989      990      991      992 
#> 6.254441 6.254441 6.254441 6.271049 6.257763 6.262745 7.308635 7.308635 
#>      993      994      995      996      997      998      999     1000 
#> 7.310295 7.316938 7.306974 7.308635 4.724861 4.714896 4.688324 4.688324 
#>     1001     1002     1003     1004     1005     1006     1007     1008 
#> 4.726521 4.708253 7.857224 7.853902 7.900084 7.900084 7.847259 7.843938 
#>     1009     1010     1011     1012     1013     1014     1015     1016 
#> 7.948262 7.946601 7.946601 7.946601 7.949923 7.948262 5.284767 5.281445 
#>     1017     1018     1019     1020     1021     1022     1023     1024 
#> 5.279784 5.276463 5.281445 5.281445 5.774956 5.776617 5.778278 5.784921 
#>     1025     1026     1027     1028     1029     1030     1031     1032 
#> 5.773296 5.813154 7.742267 7.742267 7.743928 7.740606 7.738945 7.737285 
#>     1033     1034     1035     1036     1037     1038     1039     1040 
#> 8.050430 8.050430 8.045447 8.053751 8.047108 8.055412 6.840096 6.858364 
#>     1041     1042     1043     1044     1045     1046     1047     1048 
#> 6.830131 6.826810 6.825149 6.826810 5.928620 5.931942 5.930281 5.931942 
#>     1049     1050     1051     1052     1053     1054     1055     1056 
#> 5.928620 5.930281 7.066930 7.066930 7.066930 7.066930 7.068591 7.071913 
#>     1057     1058     1059     1060     1061     1062     1063     1064 
#> 6.374069 6.379052 6.377391 6.380712 6.372409 6.375730 6.136065 6.134404 
#>     1065     1066     1067     1068     1069     1070     1071     1072 
#> 6.132744 6.131083 6.137726 6.134404 5.550335 5.547013 5.545352 5.551995 
#>     1073     1074     1075     1076     1077     1078     1079     1080 
#> 5.548674 5.547013 6.868600 6.865278 6.865278 6.863617 6.865278 6.865278 
#>     1081     1082     1083     1084     1085     1086     1087     1088 
#> 7.537871 7.445188 7.446848 7.446848 7.446848 7.475081 5.441830 5.441830 
#>     1089     1090     1091     1092     1093     1094     1095     1096 
#> 5.443491 5.443491 5.443491 5.441830 4.560794 4.555812 4.560794 4.562455 
#>     1097     1098     1099     1100     1101     1102     1103     1104 
#> 4.557473 4.552490 6.922185 6.922185 6.922185 6.922185 6.922185 6.975010 
#>     1105     1106     1107     1108     1109     1110     1111     1112 
#> 6.946376 6.948036 6.948036 6.951358 6.951358 6.949697 7.713064 7.713064 
#>     1113     1114     1115     1116     1117     1118     1119     1120 
#> 7.711403 7.714724 7.714724 7.737975 7.430511 7.437154 7.468709 7.475352 
#>     1121     1122     1123     1124     1125     1126     1127     1128 
#> 7.432172 7.442136 7.126183 7.126183 7.126183 7.127843 7.129504 7.126183 
#>     1129     1130     1131     1132     1133     1134     1135     1136 
#> 7.291405 7.289744 7.291405 7.291405 7.291405 7.289744 6.522171 6.523832 
#>     1137     1138     1139     1140     1141     1142     1143     1144 
#> 6.523832 6.525493 6.523832 6.523832 6.141296 6.141296 6.141296 6.152922 
#>     1145     1146     1147     1148     1149     1150     1151     1152 
#> 6.157904 6.156243 6.716178 6.727803 6.772644 6.724482 6.719499 6.724482 
#>     1153     1154     1155     1156     1157     1158     1159     1160 
#> 7.829724 7.828063 7.831385 7.829724 7.824742 7.828063 6.757603 6.752621 
#>     1161     1162     1163     1164     1165     1166     1167     1168 
#> 6.752621 6.752621 6.747638 6.750960 6.732562 6.732562 6.732562 6.732562 
#>     1169     1170     1171     1172     1173     1174     1175     1176 
#> 6.730901 6.729241 6.473903 6.475564 6.477225 6.473903 6.473903 6.490511 
#>     1177     1178     1179     1180     1181     1182     1183     1184 
#> 5.371631 5.371631 5.371631 5.373291 5.374952 5.389899 7.111332 7.112993 
#>     1185     1186     1187     1188     1189     1190     1191     1192 
#> 7.116315 7.116315 7.116315 7.116315 6.810563 6.813884 6.810563 6.812223 
#>     1193     1194     1195     1196     1197     1198     1199     1200 
#> 6.813884 6.810563 6.396093 6.399415 6.399415 6.399415 6.450579 6.448918 
#>     1201     1202     1203     1204     1205     1206     1207     1208 
#> 6.255679 6.254019 6.255679 6.255679 6.259001 6.255679 5.734022 5.732361 
#>     1209     1210     1211     1212     1213     1214     1215     1216 
#> 5.732361 5.737343 5.734022 5.734022 5.501757 5.503418 5.505079 5.503418 
#>     1217     1218     1219     1220     1221     1222     1223     1224 
#> 5.503418 5.501757 6.831139 6.836122 6.794922 6.864355 6.837782 6.834461 
#>     1225     1226     1227     1228     1229     1230     1231     1232 
#> 7.026188 7.036152 7.046117 7.026188 7.049438 7.049438 7.952040 7.952040 
#>     1233     1234     1235     1236     1237     1238     1239     1240 
#> 7.953701 7.953701 7.953701 7.957023 7.965082 7.936849 7.936849 7.936849 
#>     1241     1242     1243     1244     1245     1246     1247     1248 
#> 7.936849 7.938510 5.013571 5.006928 5.061414 5.059753 5.074700 5.020214 
#>     1249     1250     1251     1252     1253     1254     1255     1256 
#> 6.799213 6.792569 6.794230 6.797552 6.799213 6.795891 6.885853 6.885853 
#>     1257     1258     1259     1260     1261     1262     1263     1264 
#> 6.885853 6.887513 6.890835 6.890835 7.801207 7.799546 7.799546 7.794564 
#>     1265     1266     1267     1268     1269     1270     1271     1272 
#> 7.799546 7.801207 7.643882 7.642221 7.642221 7.645543 7.642221 7.642221 
#>     1273     1274     1275     1276     1277     1278     1279     1280 
#> 7.368711 7.368711 7.365389 7.370371 7.368711 7.370371 6.222947 6.221287 
#>     1281     1282     1283     1284     1285     1286     1287     1288 
#> 6.221287 6.221287 6.221287 6.221287 5.743533 5.743533 5.750176 5.740211 
#>     1289     1290     1291     1292     1293     1294     1295     1296 
#> 5.741872 5.743533 7.503188 7.503188 7.503188 7.506510 7.504849 7.504849 
#>     1297     1298     1299     1300     1301     1302     1303     1304 
#> 5.882846 5.882846 5.881185 5.882846 5.884507 5.884507 6.431178 6.369730 
#>     1305     1306     1307     1308     1309     1310     1311     1312 
#> 6.369730 6.371391 6.369730 6.369730 7.510466 7.502162 7.554987 7.502162 
#>     1313     1314     1315     1316     1317     1318     1319     1320 
#> 7.551666 7.498841 6.931960 6.928638 6.930299 6.931960 6.925317 6.923656 
#>     1321     1322     1323     1324     1325     1326     1327     1328 
#> 7.589241 7.590902 7.648709 7.647049 7.647049 7.647049 5.452557 5.457539 
#>     1329     1330     1331     1332     1333     1334     1335     1336 
#> 5.469165 5.455879 5.450896 5.444253 6.192679 6.191018 6.192679 6.191018 
#>     1337     1338     1339     1340     1341     1342     1343     1344 
#> 6.192679 6.194340 7.563201 7.556558 7.546594 7.525004 7.533307 7.520021 
#>     1345     1346     1347     1348     1349     1350     1351     1352 
#> 6.374189 6.374189 6.374189 6.374189 6.374189 6.374189 5.197094 5.198755 
#>     1353     1354     1355     1356     1357     1358     1359     1360 
#> 5.203737 5.200416 5.212041 5.200416 7.115873 7.130820 7.122516 7.122516 
#>     1361     1362     1363     1364     1365     1366     1367     1368 
#> 7.122516 7.122516 7.185079 7.185079 7.185079 7.185079 7.185079 7.186739 
#>     1369     1370     1371     1372     1373     1374     1375     1376 
#> 7.057367 7.004542 7.057367 7.006202 7.001220 7.001220 6.436488 6.436488 
#>     1377     1378     1379     1380     1381     1382     1383     1384 
#> 6.436488 6.436488 6.436488 6.436488 8.576856 8.575195 8.576856 8.575195 
#>     1385     1386     1387     1388     1389     1390     1391     1392 
#> 8.576856 8.576856 7.292266 7.292266 7.295587 7.297248 7.346752 7.293926 
#>     1393     1394     1395     1396     1397     1398     1399     1400 
#> 7.139203 7.142524 7.137542 7.137542 7.093021 7.155810 6.315750 6.314089 
#>     1401     1402     1403     1404     1405     1406     1407     1408 
#> 6.314089 6.310768 6.314089 6.315750 5.588157 5.591478 5.588157 5.591478 
#>     1409     1410     1411     1412     1413     1414     1415     1416 
#> 5.601443 5.586496 7.710551 7.710551 7.710551 7.712212 7.712212 7.712212 
#>     1417     1418     1419     1420     1421     1422     1423     1424 
#> 6.213955 6.202329 6.213955 6.207312 6.207312 6.213955 7.163454 7.107307 
#>     1425     1426     1427     1428     1429     1430     1431     1432 
#> 7.110629 7.110629 7.113951 7.113951 8.616184 8.616184 8.616184 8.616184 
#>     1433     1434     1435     1436     1437     1438     1439     1440 
#> 8.616184 8.612862 7.749971 7.749971 7.749971 7.749971 7.749971 7.751632 
#>     1441     1442     1443     1444     1445     1446     1447     1448 
#> 6.809818 6.816461 6.819783 6.809818 6.818122 6.880911 5.308828 5.307167 
#>     1449     1450     1451     1452     1453     1454     1455     1456 
#> 5.315471 5.303846 5.308828 5.318793 7.679716 7.684698 7.679716 7.668090 
#>     1457     1458     1459     1460     1461     1462     1463     1464 
#> 7.669751 7.671412 6.448876 6.448876 6.457180 6.442233 6.442233 6.442233 
#>     1465     1466     1467     1468     1469     1470     1471     1472 
#> 6.531832 6.530171 6.521867 6.521867 6.521867 6.538475 6.424570 6.375067 
#>     1473     1474     1475     1476     1477     1478     1479     1480 
#> 6.402980 6.383051 6.394677 6.391355 4.872512 4.862547 4.862547 4.862547 
#>     1481     1482     1483     1484     1485     1486     1487     1488 
#> 4.862547 4.864208 4.992662 5.005948 4.991001 4.989340 4.992662 4.997644 
#>     1489     1490     1491     1492     1493     1494     1495     1496 
#> 6.947297 6.947297 6.948958 6.947297 6.948958 6.947297 5.984910 5.983249 
#>     1497     1498     1499     1500     1501     1502     1503     1504 
#> 5.983249 5.983249 5.983249 5.983249 6.261321 6.261321 6.259660 6.261321 
#>     1505     1506     1507     1508     1509     1510     1511     1512 
#> 6.259660 6.261321 8.186403 8.183081 8.184742 8.183081 8.184742 8.186403 
#>     1513     1514     1515     1516     1517     1518     1519     1520 
#> 6.716514 6.688281 6.688281 6.713192 6.688281 6.688281 6.410690 6.412350 
#>     1521     1522     1523     1524     1525     1526     1527     1528 
#> 6.410690 6.410690 6.410690 6.450548 6.147935 6.157580 6.135990 6.152597 
#>     1529     1530     1531     1532     1533     1534     1535     1536 
#> 6.140972 6.135990 6.816605 6.851162 6.851162 6.851162 6.852822 6.854483 
#>     1537     1538     1539     1540     1541     1542     1543     1544 
#> 7.145713 7.145713 7.145713 7.145713 7.145713 7.145713 6.683779 6.680457 
#>     1545     1546     1547     1548     1549     1550     1551     1552 
#> 6.682118 6.685439 6.673814 6.683779 5.613572 5.651770 5.615233 5.613572 
#>     1553     1554     1555     1556     1557     1558     1559     1560 
#> 5.615233 5.611911 7.168025 7.169685 7.169685 7.171346 7.171346 7.169685 
#>     1561     1562     1563     1564     1565     1566     1567     1568 
#> 6.687076 6.688736 6.708665 6.692058 6.695379 6.688736 7.397785 7.399446 
#>     1569     1570     1571     1572     1573     1574     1575     1576 
#> 7.397785 7.397785 7.396124 7.397785 6.282899 6.266291 6.261309 6.257988 
#>     1577     1578     1579     1580     1581     1582     1583     1584 
#> 6.256327 6.257988 6.529230 6.520926 6.527569 6.540855 6.502657 6.504318 
#>     1585     1586     1587     1588     1589     1590     1591     1592 
#> 7.203948 7.198966 7.197305 7.200627 7.198966 7.200627 7.525520 7.522198 
#>     1593     1594     1595     1596     1597     1598     1599     1600 
#> 7.525520 7.520537 7.522198 7.523859 6.942582 6.942582 6.944243 6.944243 
#>     1601     1602     1603     1604     1605     1606     1607     1608 
#> 6.945903 6.947564 5.773619 5.773619 5.775280 5.773619 5.771958 5.773619 
#>     1609     1610     1611     1612     1613     1614     1615     1616 
#> 7.106242 7.102921 7.104581 7.104581 7.107903 7.106242 8.726505 8.729826 
#>     1617     1618     1619     1620     1621     1622     1623     1624 
#> 8.729826 8.729826 8.729826 8.729826 6.638415 6.638415 6.638415 6.638415 
#>     1625     1626     1627     1628     1629     1630     1631     1632 
#> 6.638415 6.638415 6.908516 6.905194 6.908516 6.908516 6.906855 6.906855 
#>     1633     1634     1635     1636     1637     1638     1639     1640 
#> 6.700894 6.684286 6.689268 6.687607 6.687607 6.690929 7.089592 7.087931 
#>     1641     1642     1643     1644     1645     1646     1647     1648 
#> 7.089592 7.087931 7.089592 7.089592 6.485894 6.485894 6.485894 6.485894 
#>     1649     1650     1651     1652     1653     1654     1655     1656 
#> 6.485894 6.487555 6.827921 6.829582 6.842868 6.831243 6.834564 6.832903 
#>     1657     1658     1659     1660     1661     1662     1663     1664 
#> 6.820940 6.824262 6.822601 6.822601 6.822601 6.822601 7.702758 7.702758 
#>     1665     1666     1667     1668     1669     1670     1671     1672 
#> 7.702758 7.704419 7.701097 7.704419 7.105910 7.104249 7.104249 7.104249 
#>     1673     1674     1675     1676     1677     1678     1679     1680 
#> 7.104249 7.104249 5.706486 5.698182 5.701504 5.703164 5.704825 5.699843 
#>     1681     1682     1683     1684     1685     1686     1687     1688 
#> 6.822334 6.823995 6.822334 6.822334 6.822334 6.823995 7.174552 7.172891 
#>     1689     1690     1691     1692     1693     1694     1695     1696 
#> 7.172891 7.174552 7.179534 7.174552 7.306372 7.308033 7.308033 7.308033 
#>     1697     1698     1699     1700     1701     1702     1703     1704 
#> 7.309694 7.309694 6.529924 6.524941 6.526602 6.524941 6.524941 6.526602 
#>     1705     1706     1707     1708     1709     1710     1711     1712 
#> 6.831533 6.828211 6.828211 6.829872 6.829872 6.829872 6.609886 6.609886 
#>     1713     1714     1715     1716     1717     1718     1719     1720 
#> 6.608226 6.609886 6.557061 6.613208 6.883956 6.875652 6.875652 6.873991 
#>     1721     1722     1723     1724     1725     1726     1727     1728 
#> 6.890599 6.887277 7.458568 7.458568 7.458568 7.458568 7.461889 7.463550 
#>     1729     1730     1731     1732     1733     1734     1735     1736 
#> 8.323699 8.325360 8.325360 8.325360 8.325360 8.327021 6.111082 6.107761 
#>     1737     1738     1739     1740     1741     1742     1743     1744 
#> 6.109421 6.109421 6.111082 6.111082 7.063649 7.057006 7.058667 7.060327 
#>     1745     1746     1747     1748     1749     1750     1751     1752 
#> 7.061988 7.061988 7.015495 7.017156 7.017156 7.015495 7.017156 7.015495 
#>     1753     1754     1755     1756     1757     1758     1759     1760 
#> 6.379498 6.379498 6.379498 6.379498 6.379498 6.379498 6.267237 6.278862 
#>     1761     1762     1763     1764     1765     1766     1767     1768 
#> 6.265576 6.268897 6.267237 6.268897 6.913719 6.913719 6.917041 6.915380 
#>     1769     1770     1771     1772     1773     1774     1775     1776 
#> 6.915380 6.915380 6.359674 6.305188 6.305188 6.372960 6.354692 6.354692 
#>     1777     1778     1779     1780     1781     1782     1783     1784 
#> 6.630152 6.653402 6.684637 6.682977 6.684637 6.682977 6.067402 6.067402 
#>     1785     1786     1787     1788     1789     1790     1791     1792 
#> 6.069063 6.070723 6.067402 6.067402 6.223680 6.225340 6.223680 6.223680 
#>     1793     1794     1795     1796     1797     1798     1799     1800 
#> 6.223680 6.223680 6.110936 6.110936 6.117579 6.114257 6.117579 6.117579 
#>     1801     1802     1803     1804     1805     1806     1807     1808 
#> 6.914249 6.914249 6.915910 6.919231 6.919231 6.915910 6.693021 6.691360 
#>     1809     1810     1811     1812     1813     1814     1815     1816 
#> 6.689699 6.694681 6.694681 6.693021 6.668640 6.670301 6.670301 6.666979 
#>     1817     1818     1819     1820     1821     1822     1823     1824 
#> 6.670301 6.671962 6.085077 6.085077 6.085077 6.085077 6.085077 6.085077 
#>     1825     1826     1827     1828     1829     1830     1831     1832 
#> 7.483777 7.483777 7.483777 7.482116 7.487098 7.485438 6.319337 6.319337 
#>     1833     1834     1835     1836     1837     1838     1839     1840 
#> 6.320998 6.320998 6.320998 6.320998 6.767375 6.770697 6.775679 6.772358 
#>     1841     1842     1843     1844     1845     1846     1847     1848 
#> 6.775679 6.769036 6.893748 6.897069 6.897069 6.897069 6.907034 6.903713 
#>     1849     1850     1851     1852     1853     1854     1855     1856 
#> 5.724765 5.729748 5.690209 5.660315 5.681905 5.660315 6.538225 6.559815 
#>     1857     1858     1859     1860     1861     1862     1863     1864 
#> 6.538225 6.538225 6.538225 6.539885 6.784667 6.812900 6.839153 6.839153 
#>     1865     1866     1867     1868     1869     1870     1871     1872 
#> 6.850778 6.839153 6.889664 6.892985 6.889664 6.891325 6.889664 6.889664 
#>     1873     1874     1875     1876     1877     1878     1879     1880 
#> 6.498626 6.498626 6.500287 6.501948 6.501948 6.505269 6.430403 6.493192 
#>     1881     1882     1883     1884     1885     1886     1887     1888 
#> 6.483228 6.483228 6.484889 6.483228 6.521928 6.540196 6.521928 6.520267 
#>     1889     1890     1891     1892     1893     1894     1895     1896 
#> 6.536874 6.520267 8.356619 8.361602 8.359941 8.361602 8.359941 8.359941 
#>     1897     1898     1899     1900     1901     1902     1903     1904 
#> 6.055239 6.081812 6.080151 6.056900 6.060222 6.096759 6.646909 6.641926 
#>     1905     1906     1907     1908     1909     1910     1911     1912 
#> 6.648569 6.736271 6.645248 6.646909 6.868991 6.873974 6.868991 6.868991 
#>     1913     1914     1915     1916     1917     1918     1919     1920 
#> 6.868991 6.880617 6.222674 6.219353 6.219353 6.225996 6.217692 6.225996 
#>     1921     1922     1923     1924     1925     1926     1927     1928 
#> 6.125939 6.125939 6.125939 6.125939 6.129260 6.127599 7.177907 7.181228 
#>     1929     1930     1931     1932     1933     1934     1935     1936 
#> 7.182889 7.181228 7.181228 7.182889 6.979207 6.977546 6.979207 6.977546 
#>     1937     1938     1939     1940     1941     1942     1943     1944 
#> 6.984189 6.982528 6.934800 6.956390 6.948086 6.964694 6.939783 6.938122 
#>     1945     1946     1947     1948     1949     1950     1951     1952 
#> 6.258927 6.258927 6.258927 6.258927 6.258927 6.258927 6.988078 6.988078 
#>     1953     1954     1955     1956     1957     1958     1959     1960 
#> 6.988078 6.988078 6.988078 6.988078 5.920936 5.917614 5.924257 5.924257 
#>     1961     1962     1963     1964     1965     1966     1967     1968 
#> 5.978743 5.925918 6.929696 6.929696 6.980860 6.982521 6.926375 6.928035 
#>     1969     1970     1971     1972     1973     1974     1975     1976 
#> 6.637659 6.637659 6.637659 6.637659 6.637659 6.637659 7.248418 7.248418 
#>     1977     1978     1979     1980     1981     1982     1983     1984 
#> 7.250079 7.250079 7.250079 7.248418 7.244934 7.307723 7.246594 7.301080 
#>     1985     1986     1987     1988     1989     1990     1991     1992 
#> 7.299420 7.301080 5.295978 5.294317 5.299299 5.297638 5.299299 5.295978 
#>     1993     1994     1995     1996     1997     1998     1999     2000 
#> 6.779234 6.774251 6.780894 6.777573 6.777573 6.777573 5.637736 5.637736 
#>     2001     2002     2003     2004     2005     2006     2007     2008 
#> 5.639397 5.651022 5.637736 5.641058 6.785820 6.790802 6.794124 6.787481 
#>     2009     2010     2011     2012     2013     2014     2015     2016 
#> 6.792463 6.789141 6.531974 6.530313 6.533635 6.526992 6.530313 6.535296 
#>     2017     2018     2019     2020     2021     2022     2023     2024 
#> 7.240649 7.240649 7.243970 7.242310 7.243970 7.243970 6.079161 6.079161 
#>     2025     2026     2027     2028     2029     2030     2031     2032 
#> 6.080822 6.082483 6.082483 6.082483 5.437823 5.439484 5.441145 5.439484 
#>     2033     2034     2035     2036     2037     2038     2039     2040 
#> 5.442806 5.441145 6.966639 6.958335 6.958335 6.958335 6.958335 6.958335 
#>     2041     2042     2043     2044     2045     2046     2047     2048 
#> 7.938810 7.937149 7.938810 7.937149 7.938810 7.937149 7.037101 7.038762 
#>     2049     2050     2051     2052     2053     2054     2055     2056 
#> 7.037101 7.089926 7.037101 7.038762 7.632456 7.634117 7.686942 7.634117 
#>     2057     2058     2059     2060     2061     2062     2063     2064 
#> 7.635777 7.639099 8.255154 8.248511 8.253493 8.248511 8.250171 8.251832 
#>     2065     2066     2067     2068     2069     2070     2071     2072 
#> 6.177771 6.177771 6.177771 6.179432 6.179432 6.179432 7.389182 7.392504 
#>     2073     2074     2075     2076     2077     2078     2079     2080 
#> 7.400808 7.397486 7.402468 7.395825 7.360403 7.365385 7.363725 7.360403 
#>     2081     2082     2083     2084     2085     2086     2087     2088 
#> 7.360403 7.365385 8.769158 8.765836 8.767497 8.767497 8.789087 8.805695 
#>     2089     2090     2091     2092     2093     2094     2095     2096 
#> 6.997938 6.996277 6.996277 6.997938 6.999599 6.997938 7.078400 7.065113 
#>     2097     2098     2099     2100     2101     2102     2103     2104 
#> 7.012288 7.065113 7.068435 7.070096 6.459218 6.460879 6.508722 6.515365 
#>     2105     2106     2107     2108     2109     2110     2111     2112 
#> 6.520347 6.510382 6.923464 6.923464 6.925124 6.923464 6.925124 6.925124 
#>     2113     2114     2115     2116     2117     2118     2119     2120 
#> 8.835736 8.840718 8.837397 8.837397 8.837397 8.837397 6.859323 6.857663 
#>     2121     2122     2123     2124     2125     2126     2127     2128 
#> 6.856002 6.856002 6.860984 6.856002 5.953756 5.953756 6.004920 6.008242 
#>     2129     2130     2131     2132     2133     2134     2135     2136 
#> 5.952095 5.952095 6.853369 6.853369 6.853369 6.853369 6.851709 6.853369 
#>     2137     2138     2139     2140     2141     2142     2143     2144 
#> 6.731165 6.736147 6.732826 6.732826 6.732826 6.732826 6.735682 6.730700 
#>     2145     2146     2147     2148     2149     2150     2151     2152 
#> 6.684518 6.732361 6.734022 6.735682 5.765399 5.780346 5.767060 5.765399 
#>     2153     2154     2155     2156     2157     2158     2159     2160 
#> 5.782007 5.767060 7.367320 7.365659 7.367320 7.368981 7.370641 7.367320 
#>     2161     2162     2163     2164     2165     2166     2167     2168 
#> 6.204915 6.258059 6.208236 6.209897 6.211558 6.206576 7.066530 7.068191 
#>     2169     2170     2171     2172     2173     2174     2175     2176 
#> 7.068191 7.066530 7.066530 7.068191 6.318085 6.318085 6.329710 6.342996 
#>     2177     2178     2179     2180     2181     2182     2183     2184 
#> 6.321406 6.321406 6.600367 6.598706 6.600367 6.598706 6.600367 6.600367 
#>     2185     2186     2187     2188     2189     2190     2191     2192 
#> 7.063433 7.063433 7.061773 7.065094 7.066755 7.063433 6.383523 6.381862 
#>     2193     2194     2195     2196     2197     2198     2199     2200 
#> 6.390166 6.380201 6.381862 6.383523 7.093531 7.081906 7.083567 7.100174 
#>     2201     2202     2203     2204     2205     2206     2207     2208 
#> 7.080245 7.081906 7.369626 7.369626 7.372947 7.369626 7.371287 7.371287 
#>     2209     2210     2211     2212     2213     2214     2215     2216 
#> 6.968354 6.968354 6.970014 6.968354 6.970014 6.971675 7.064417 7.064417 
#>     2217     2218     2219     2220     2221     2222     2223     2224 
#> 7.064417 7.067739 7.066078 7.067739 7.084959 7.084959 7.084959 7.084959 
#>     2225     2226     2227     2228     2229     2230     2231     2232 
#> 7.084959 7.084959 6.730048 6.733370 6.731709 6.731709 6.733370 6.731709 
#>     2233     2234     2235     2236     2237     2238     2239     2240 
#> 6.059557 6.059557 6.059557 6.059557 6.061218 6.064539 5.540725 5.542386 
#>     2241     2242     2243     2244     2245     2246     2247     2248 
#> 5.540725 5.540725 5.540725 5.542386 5.330904 5.337548 5.339208 5.289705 
#>     2249     2250     2251     2252     2253     2254     2255     2256 
#> 5.335887 5.293026 6.686238 6.686238 6.686238 6.687898 6.684577 6.687898 
#>     2257     2258     2259     2260     2261     2262     2263     2264 
#> 7.345610 7.347271 7.345610 7.342289 7.345610 7.345610 7.099638 7.094656 
#>     2265     2266     2267     2268     2269     2270     2271     2272 
#> 7.097978 7.097978 7.097978 7.101299 6.705150 6.703489 6.701829 6.703489 
#>     2273     2274     2275     2276     2277     2278     2279     2280 
#> 6.701829 6.703489 6.251444 6.251444 6.251444 6.253105 6.254766 6.254766 
#>     2281     2282     2283     2284     2285     2286     2287     2288 
#> 6.591674 6.591674 6.596656 6.593335 6.591674 6.593335 6.198518 6.198518 
#>     2289     2290     2291     2292     2293     2294     2295     2296 
#> 6.198518 6.196857 6.196857 6.195197 7.273832 7.267189 7.268850 7.267189 
#>     2297     2298     2299     2300     2301     2302     2303     2304 
#> 7.275493 7.272171 5.694703 5.693042 5.693042 5.701346 5.693042 5.694703 
#>     2305     2306     2307     2308     2309     2310     2311     2312 
#> 7.075866 7.079187 7.080848 7.077527 7.079187 7.079187 7.871130 7.871130 
#>     2313     2314     2315     2316     2317     2318     2319     2320 
#> 7.871130 7.869469 7.871130 7.871130 6.811931 6.806949 6.811931 6.811931 
#>     2321     2322     2323     2324     2325     2326     2327     2328 
#> 6.810270 6.808609 7.588488 7.590148 7.586827 7.588488 7.591809 7.591809 
#>     2329     2330     2331     2332     2333     2334     2335     2336 
#> 7.701668 7.701668 7.708311 7.701668 7.704989 7.704989 7.403457 7.405117 
#>     2337     2338     2339     2340     2341     2342     2343     2344 
#> 7.403457 7.403457 7.403457 7.405117 6.376862 6.376862 6.329019 6.329019 
#>     2345     2346     2347     2348     2349     2350     2351     2352 
#> 6.329019 6.330680 6.389906 6.389906 6.391567 6.398210 6.388245 6.431425 
#>     2353     2354     2355     2356     2357     2358     2359     2360 
#> 6.834721 6.828078 6.831399 6.828078 6.828078 6.831399 6.366286 6.366286 
#>     2361     2362     2363     2364     2365     2366     2367     2368 
#> 6.366286 6.366286 6.366286 6.366286 6.098233 6.128126 6.099893 6.106536 
#>     2369     2370     2371     2372     2373     2374     2375     2376 
#> 6.104876 6.096572 6.091861 6.090201 6.088540 6.095183 6.086879 6.083558 
#>     2377     2378     2379     2380     2381     2382     2383     2384 
#> 7.182386 7.184046 7.184046 7.184046 7.182386 7.185707 7.128846 7.127186 
#>     2385     2386     2387     2388     2389     2390     2391     2392 
#> 7.132168 7.130507 7.128846 7.130507 6.713080 6.713080 6.714741 6.714741 
#>     2393     2394     2395     2396     2397     2398     2399     2400 
#> 6.728027 6.714741 6.901413 6.904735 6.903074 6.908056 6.929646 6.899752 
#>     2401     2402     2403     2404     2405     2406     2407     2408 
#> 7.476460 7.499710 7.430278 7.466495 7.428617 7.420313 7.549882 7.544900 
#>     2409     2410     2411     2412     2413     2414     2415     2416 
#> 7.546560 7.548221 7.543239 7.544900 7.658386 7.658386 7.658386 7.658386 
#>     2417     2418     2419     2420     2421     2422     2423     2424 
#> 7.658386 7.658386 6.997407 7.004050 7.012354 6.999068 6.999068 6.999068 
#>     2425     2426     2427     2428     2429     2430     2431     2432 
#> 7.814214 7.814214 7.815874 7.815874 7.817535 7.817535 6.668949 6.660645 
#>     2433     2434     2435     2436     2437     2438     2439     2440 
#> 6.662306 6.667288 6.663966 6.660645 7.652483 7.649161 7.649161 7.650822 
#>     2441     2442     2443     2444     2445     2446     2447     2448 
#> 7.649161 7.647501 6.183860 6.205450 6.203789 6.203789 6.197146 6.200468 
#>     2449     2450     2451     2452     2453     2454     2455     2456 
#> 6.517167 6.518828 6.517167 6.513846 6.464342 6.462681 5.478390 5.465104 
#>     2457     2458     2459     2460     2461     2462     2463     2464 
#> 5.465104 5.468425 5.478390 5.471747 6.384220 6.385880 6.380898 6.382559 
#>     2465     2466     2467     2468     2469     2470     2471     2472 
#> 6.382559 6.384220 7.353756 7.353756 7.355417 7.363720 7.352095 7.357077 
#>     2473     2474     2475     2476     2477     2478     2479     2480 
#> 7.249909 7.233301 7.233301 7.233301 7.233301 7.231640 6.682754 6.682754 
#>     2481     2482     2483     2484     2485     2486     2487     2488 
#> 6.674450 6.682754 6.682754 6.682754 5.786797 5.781815 5.785136 5.785136 
#>     2489     2490     2491     2492     2493     2494     2495     2496 
#> 5.796762 5.790119 6.770123 6.765141 6.765141 6.765141 6.765141 6.765141 
#>     2497     2498     2499     2500     2501     2502     2503     2504 
#> 5.736788 5.758378 5.758378 5.746752 5.741770 5.750074 6.746457 6.746457 
#>     2505     2506     2507     2508     2509     2510     2511     2512 
#> 6.748118 6.748118 6.749778 6.748118 7.066394 7.069716 7.066394 7.069716 
#>     2513     2514     2515     2516     2517     2518     2519     2520 
#> 7.069716 7.069716 6.563070 6.563070 6.568052 6.563070 6.564731 6.564731 
#>     2521     2522     2523     2524     2525     2526     2527     2528 
#> 6.226658 6.231640 6.228319 6.231640 6.229979 6.228319 6.339484 6.337823 
#>     2529     2530     2531     2532     2533     2534     2535     2536 
#> 6.337823 6.337823 6.341145 6.346127 6.768135 6.778099 6.781421 6.768135 
#>     2537     2538     2539     2540     2541     2542     2543     2544 
#> 6.735239 6.711988 7.284837 7.334341 7.327698 7.268229 7.322715 7.334341 
#>     2545     2546     2547     2548     2549     2550     2551     2552 
#> 6.927136 6.925476 6.927136 6.927136 6.927136 6.927136 6.598105 6.601427 
#>     2553     2554     2555     2556     2557     2558     2559     2560 
#> 6.604748 6.608070 6.606409 6.606409 7.858516 7.850212 7.856855 7.850212 
#>     2561     2562     2563     2564     2565     2566     2567     2568 
#> 7.848551 7.853533 6.119781 6.139710 6.138050 6.139710 6.138050 6.139710 
#>     2569     2570     2571     2572     2573     2574     2575     2576 
#> 6.720967 6.729271 6.714324 6.719306 6.747539 6.715985 5.248038 5.249699 
#>     2577     2578     2579     2580     2581     2582     2583     2584 
#> 5.236413 5.229770 5.233091 5.234752 5.656619 5.656619 5.674887 5.711105 
#>     2585     2586     2587     2588     2589     2590     2591     2592 
#> 5.712766 5.716087 7.471367 7.466385 7.469706 7.469706 7.469706 7.469706 
#>     2593     2594     2595     2596     2597     2598     2599     2600 
#> 6.524190 6.524190 6.524190 6.524190 6.524190 6.524190 6.998899 7.007203 
#>     2601     2602     2603     2604     2605     2606     2607     2608 
#> 6.962363 6.965684 6.972327 6.972327 7.033275 7.036597 7.024971 7.018328 
#>     2609     2610     2611     2612     2613     2614     2615     2616 
#> 7.021650 7.026632 6.265997 6.272640 6.270979 6.269318 6.265997 6.265997 
#>     2617     2618     2619     2620     2621     2622     2623     2624 
#> 6.072103 6.070443 6.070443 6.070443 6.113622 6.108640 6.392720 6.382755 
#>     2625     2626     2627     2628     2629     2630     2631     2632 
#> 6.381094 6.381094 6.381094 6.394380 7.115763 7.117424 7.109120 7.114102 
#>     2633     2634     2635     2636     2637     2638     2639     2640 
#> 7.117424 7.110781 5.776029 5.776029 5.776029 5.777690 5.777690 5.777690 
#>     2641     2642     2643     2644     2645     2646     2647     2648 
#> 6.121785 6.121785 6.121785 6.121785 6.121785 6.121785 6.048362 6.050022 
#>     2649     2650     2651     2652     2653     2654     2655     2656 
#> 6.051683 6.053344 6.058326 6.053344 5.817338 5.815677 5.815677 5.815677 
#>     2657     2658     2659     2660     2661     2662     2663     2664 
#> 5.817338 5.817338 7.055064 7.056725 7.056725 7.048421 7.045099 7.056725 
#>     2665     2666     2667     2668     2669     2670     2671     2672 
#> 7.531525 7.533186 7.533186 7.533186 7.534847 7.536508 5.764417 5.764417 
#>     2673     2674     2675     2676     2677     2678     2679     2680 
#> 5.767738 5.779364 5.777703 5.776042 5.368953 5.368953 5.368953 5.368953 
#>     2681     2682     2683     2684     2685     2686     2687     2688 
#> 5.368953 5.368953 6.864434 6.869416 6.864434 6.864434 6.869416 6.877720 
#>     2689     2690     2691     2692     2693     2694     2695     2696 
#> 6.536058 6.539380 6.549345 6.541041 6.592205 6.603830 6.888107 6.894750 
#>     2697     2698     2699     2700     2701     2702     2703     2704 
#> 6.884786 6.884786 6.888107 6.886446 6.824962 6.824962 6.824962 6.824962 
#>     2705     2706     2707     2708     2709     2710     2711     2712 
#> 6.828284 6.846552 5.718972 5.720632 5.723954 5.717311 5.718972 5.723954 
#>     2713     2714     2715     2716     2717     2718     2719     2720 
#> 7.255673 7.257333 7.311819 7.254012 7.255673 7.311819 6.960073 6.961734 
#>     2721     2722     2723     2724     2725     2726     2727     2728 
#> 6.965055 6.963395 6.912230 6.912230 5.991206 5.991206 5.989545 5.991206 
#>     2729     2730     2731     2732     2733     2734     2735     2736 
#> 5.991206 5.987884 6.812139 6.815461 6.812139 6.812139 6.812139 6.810478 
#>     2737     2738     2739     2740     2741     2742     2743     2744 
#> 5.706644 5.706644 5.704984 5.706644 5.706644 5.706644 6.984421 6.981099 
#>     2745     2746     2747     2748     2749     2750     2751     2752 
#> 6.984421 6.982760 6.986082 6.967813 7.181411 7.181411 7.183071 7.181411 
#>     2753     2754     2755     2756     2757     2758     2759     2760 
#> 7.181411 7.183071 7.097425 7.092443 7.082478 7.092443 7.094104 7.094104 
#>     2761     2762     2763     2764     2765     2766     2767     2768 
#> 6.521572 6.521572 6.521572 6.521572 6.521572 6.521572 5.867164 5.898719 
#>     2769     2770     2771     2772     2773     2774     2775     2776 
#> 5.855539 5.857200 5.858860 5.878789 7.119469 7.122791 7.122791 7.124451 
#>     2777     2778     2779     2780     2781     2782     2783     2784 
#> 7.124451 7.127773 5.682842 5.687824 5.686163 5.686163 5.687824 5.687824 
#>     2785     2786     2787     2788     2789     2790     2791     2792 
#> 6.345510 6.350492 6.345510 6.348832 6.347171 6.347171 6.429202 6.410933 
#>     2793     2794     2795     2796     2797     2798     2799     2800 
#> 6.412594 6.410933 6.359769 6.442488 6.452974 6.456295 6.456295 6.456295 
#>     2801     2802     2803     2804     2805     2806     2807     2808 
#> 6.456295 6.456295 7.730012 7.730012 7.728352 7.728352 7.728352 7.726691 
#>     2809     2810     2811     2812     2813     2814     2815     2816 
#> 4.189691 4.183048 4.181387 4.183048 4.184709 4.186369 7.179564 7.181225 
#>     2817     2818     2819     2820     2821     2822     2823     2824 
#> 7.176243 7.177904 7.179564 7.177904 7.200796 7.200796 7.204117 7.200796 
#>     2825     2826     2827     2828     2829     2830     2831     2832 
#> 7.207439 7.207439 5.434977 5.423351 5.423351 5.431655 5.426673 5.425012 
#>     2833     2834     2835     2836     2837     2838     2839     2840 
#> 6.654588 6.654588 6.656249 6.651267 6.652928 6.657910 7.348279 7.344957 
#>     2841     2842     2843     2844     2845     2846     2847     2848 
#> 7.346618 7.348279 7.346618 7.344957 7.478517 7.480178 7.481838 7.480178 
#>     2849     2850     2851     2852     2853     2854     2855     2856 
#> 7.483499 7.483499 5.777597 5.795866 5.845689 5.734737 5.719790 5.719790 
#>     2857     2858     2859     2860     2861     2862     2863     2864 
#> 6.797599 6.761062 6.761062 6.761062 6.764384 6.759401 6.538748 6.540409 
#>     2865     2866     2867     2868     2869     2870     2871     2872 
#> 6.542070 6.538748 6.538748 6.537088 7.785554 7.785554 7.785554 7.785554 
#>     2873     2874     2875     2876     2877     2878     2879     2880 
#> 7.785554 7.787215 6.220114 6.220114 6.220114 6.276260 6.281243 6.286225 
#>     2881     2882     2883     2884     2885     2886     2887     2888 
#> 5.508982 5.508982 5.508982 5.512304 5.512304 5.510643 6.546034 6.544373 
#>     2889     2890     2891     2892     2893     2894     2895     2896 
#> 6.546034 6.547694 6.547694 6.546034 6.563029 6.564690 6.566351 6.569672 
#>     2897     2898     2899     2900     2901     2902     2903     2904 
#> 6.564690 6.568012 7.168720 7.175363 7.168720 7.172042 7.168720 7.185328 
#>     2905     2906     2907     2908     2909     2910     2911     2912 
#> 6.636877 6.636877 6.636877 6.636877 6.636877 6.638538 7.302425 7.305747 
#>     2913     2914     2915     2916     2917     2918     2919     2920 
#> 7.304086 7.317372 7.305747 7.307408 7.359138 7.360799 7.360799 7.362459 
#>     2921     2922     2923     2924     2925     2926     2927     2928 
#> 7.364120 7.369102 7.125458 7.150369 7.127119 7.130440 7.128779 7.165316 
#>     2929     2930     2931     2932     2933     2934     2935     2936 
#> 6.754386 6.754386 6.754386 6.752725 6.754386 6.752725 7.241032 7.237710 
#>     2937     2938     2939     2940     2941     2942     2943     2944 
#> 7.287214 7.237710 7.237710 7.234389 6.846423 6.806564 6.803243 6.804903 
#>     2945     2946     2947     2948     2949     2950     2951     2952 
#> 6.804903 6.758721 5.951973 5.950312 5.948652 5.950312 5.951973 5.951973 
#>     2953     2954     2955     2956     2957     2958     2959     2960 
#> 6.909370 6.912692 6.911031 6.911031 6.911031 6.911031 5.762538 5.784128 
#>     2961     2962     2963     2964     2965     2966     2967     2968 
#> 5.762538 5.762538 5.762538 5.762538 6.674114 6.664150 6.710332 6.711993 
#>     2969     2970     2971     2972     2973     2974     2975     2976 
#> 6.711993 6.715314 7.826665 7.823343 7.825004 7.829986 7.823343 7.825004 
#>     2977     2978     2979     2980     2981     2982     2983     2984 
#> 7.655388 7.655388 7.657049 7.657049 7.657049 7.658710 6.414189 6.415850 
#>     2985     2986     2987     2988     2989     2990     2991     2992 
#> 6.414189 6.414189 6.437440 6.435779 6.715322 6.716983 6.720305 6.721966 
#>     2993     2994     2995     2996     2997     2998     2999     3000 
#> 6.716983 6.716983 6.342683 6.342683 6.341023 6.341023 6.341023 6.342683 
#>     3001     3002     3003     3004     3005     3006     3007     3008 
#> 6.746674 6.746674 6.748335 6.748335 6.761621 6.749996 7.163404 7.216229 
#>     3009     3010     3011     3012     3013     3014     3015     3016 
#> 7.216229 7.216229 7.216229 7.221211 7.593112 7.584808 7.583148 7.581487 
#>     3017     3018     3019     3020     3021     3022     3023     3024 
#> 7.583148 7.578165 6.984389 6.934886 6.936547 6.946511 6.936547 6.933225 
#>     3025     3026     3027     3028     3029     3030     3031     3032 
#> 7.908837 7.907176 7.907176 7.907176 7.907176 7.908837 6.546045 6.546045 
#>     3033     3034     3035     3036     3037     3038     3039     3040 
#> 6.546045 6.544384 6.546045 6.554349 6.276254 6.286218 6.284557 6.262967 
#>     3041     3042     3043     3044     3045     3046     3047     3048 
#> 6.264628 6.264628 6.509506 6.507845 6.509506 6.507845 6.511167 6.507845 
#>     3049     3050     3051     3052     3053     3054     3055     3056 
#> 6.722342 6.724003 6.724003 6.725664 6.725664 6.725664 7.652628 7.652628 
#>     3057     3058     3059     3060     3061     3062     3063     3064 
#> 7.652628 7.652628 7.654288 7.652628 6.382346 6.380686 6.384007 6.412240 
#>     3065     3066     3067     3068     3069     3070     3071     3072 
#> 6.380686 6.384007 6.715889 6.719210 6.719210 6.719210 6.773696 6.770374 
#>     3073     3074     3075     3076     3077     3078     3079     3080 
#> 5.402515 5.402515 5.402515 5.402515 5.405836 5.402515 7.462844 7.451219 
#>     3081     3082     3083     3084     3085     3086     3087     3088 
#> 7.454540 7.454540 7.456201 7.464505 5.027408 5.029069 5.030730 5.030730 
#>     3089     3090     3091     3092     3093     3094     3095     3096 
#> 5.030730 5.032391 7.150440 7.148779 7.150440 7.152100 7.201604 7.199943 
#>     3097     3098     3099     3100     3101     3102     3103     3104 
#> 5.340856 5.334213 5.335873 5.334213 5.337534 5.337534 5.821582 5.821582 
#>     3105     3106     3107     3108     3109     3110     3111     3112 
#> 5.819921 5.819921 5.819921 5.819921 5.457833 5.454512 5.456172 5.459494 
#>     3113     3114     3115     3116     3117     3118     3119     3120 
#> 5.456172 5.459494 6.397819 6.396159 6.396159 6.444321 6.343334 6.340012 
#>     3121     3122     3123     3124     3125     3126     3127     3128 
#> 7.165314 7.115810 7.117471 7.115810 7.115810 7.115810 6.196018 6.191036 
#>     3129     3130     3131     3132     3133     3134     3135     3136 
#> 6.248843 6.248843 6.272094 6.257147 6.295651 6.292330 6.293990 6.292330 
#>     3137     3138     3139     3140     3141     3142     3143     3144 
#> 6.293990 6.297312 6.338802 6.332159 6.332159 6.332159 6.328838 6.330499 
#>     3145     3146     3147     3148     3149     3150     3151     3152 
#> 6.372289 6.372289 6.372289 6.382254 6.377271 6.380593 5.839157 5.842478 
#>     3153     3154     3155     3156     3157     3158     3159     3160 
#> 5.840817 5.834174 5.839157 5.839157 6.799099 6.799099 6.799099 6.800760 
#>     3161     3162     3163     3164     3165     3166     3167     3168 
#> 6.800760 6.799099 6.475121 6.466817 6.470139 6.466817 6.470139 6.466817 
#>     3169     3170     3171     3172     3173     3174     3175     3176 
#> 7.491683 7.491683 7.491683 7.547829 7.544508 7.486701 7.681716 7.683377 
#>     3177     3178     3179     3180     3181     3182     3183     3184 
#> 7.688359 7.685038 7.683377 7.685038 7.559226 7.557565 7.559226 7.560887 
#>     3185     3186     3187     3188     3189     3190     3191     3192 
#> 7.560887 7.564208 5.767156 5.763835 5.767156 5.765496 5.772139 5.767156 
#>     3193     3194     3195     3196     3197     3198     3199     3200 
#> 6.243804 6.247126 6.247126 6.245465 6.247126 6.245465 5.349347 5.344364 
#>     3201     3202     3203     3204     3205     3206     3207     3208 
#> 5.344364 5.344364 5.346025 5.344364 5.137336 5.135675 5.137336 5.138997 
#>     3209     3210     3211     3212     3213     3214     3215     3216 
#> 5.135675 5.137336 7.123509 7.126831 7.125170 7.125170 7.123509 7.126831 
#>     3217     3218     3219     3220     3221     3222     3223     3224 
#> 6.870563 6.870563 6.870563 6.870563 6.872224 6.872224 7.117472 7.119133 
#>     3225     3226     3227     3228     3229     3230     3231     3232 
#> 7.124115 7.117472 7.119133 7.117472 7.322810 7.321150 7.322810 7.324471 
#>     3233     3234     3235     3236     3237     3238     3239     3240 
#> 7.321150 7.324471 8.220904 8.220904 8.222565 8.224225 8.224225 8.224225 
#>     3241     3242     3243     3244     3245     3246     3247     3248 
#> 6.766116 6.766116 6.767777 6.769437 6.769437 6.767777 6.955003 6.956664 
#>     3249     3250     3251     3252     3253     3254     3255     3256 
#> 6.958325 6.955003 6.951682 6.956664 6.941052 6.942712 6.942712 6.944373 
#>     3257     3258     3259     3260     3261     3262     3263     3264 
#> 6.942712 6.942712 7.263314 7.263314 7.263314 7.210489 7.263314 7.210489 
#>     3265     3266     3267     3268     3269     3270     3271     3272 
#> 7.569970 7.571631 7.574952 7.574952 7.579934 7.571631 7.103519 7.116805 
#>     3273     3274     3275     3276     3277     3278     3279     3280 
#> 7.054015 7.138395 7.108501 7.105179 6.933066 6.938048 6.944691 6.938048 
#>     3281     3282     3283     3284     3285     3286     3287     3288 
#> 6.936387 6.936387 6.934757 6.934757 6.934757 6.934757 6.938078 6.939739 
#>     3289     3290     3291     3292     3293     3294     3295     3296 
#> 5.441113 5.439453 5.441113 5.439453 5.439453 5.439453 7.117359 7.122341 
#>     3297     3298     3299     3300     3301     3302     3303     3304 
#> 7.119020 7.120681 7.122341 7.122341 6.015310 6.011988 6.010328 6.008667 
#>     3305     3306     3307     3308     3309     3310     3311     3312 
#> 6.008667 6.011988 6.677849 6.674528 6.681171 6.679510 6.674528 6.605095 
#>     3313     3314     3315     3316     3317     3318     3319     3320 
#> 5.914990 5.916651 5.916651 5.916651 5.916651 5.914990 5.531740 5.477254 
#>     3321     3322     3323     3324     3325     3326     3327     3328 
#> 5.533401 5.530079 5.535061 5.548348 7.865826 7.864166 7.865826 7.865826 
#>     3329     3330     3331     3332     3333     3334     3335     3336 
#> 7.864166 7.865826 7.499631 7.499631 7.499631 7.499631 7.502953 7.504613 
#>     3337     3338     3339     3340     3341     3342     3343     3344 
#> 6.529084 6.534066 6.535727 6.532405 6.529084 6.583569 5.918773 5.917112 
#>     3345     3346     3347     3348     3349     3350     3351     3352 
#> 5.917112 5.917112 5.917112 5.918773 6.404254 6.405915 6.404254 6.405915 
#>     3353     3354     3355     3356     3357     3358     3359     3360 
#> 6.404254 6.410897 6.238820 6.185995 6.199281 6.282000 6.187655 6.187655 
#>     3361     3362     3363     3364     3365     3366     3367     3368 
#> 6.949411 6.990930 6.946089 6.946089 6.946089 6.949411 7.127241 7.127241 
#>     3369     3370     3371     3372     3373     3374     3375     3376 
#> 7.132223 7.127241 7.128902 7.128902 7.061981 7.058659 7.063641 7.058659 
#>     3377     3378     3379     3380     3381     3382     3383     3384 
#> 7.100178 7.055337 7.153850 7.157171 7.153850 7.155511 7.106007 7.158832 
#>     3385     3386     3387     3388     3389     3390     3391     3392 
#> 7.696589 7.632139 7.633800 7.630478 7.632139 7.635460 6.981687 6.975044 
#>     3393     3394     3395     3396     3397     3398     3399     3400 
#> 6.978366 6.980026 6.980026 6.978366 5.253338 5.254999 5.271607 5.278250 
#>     3401     3402     3403     3404     3405     3406     3407     3408 
#> 5.269946 5.253338 6.736526 6.736526 6.739848 6.739848 6.741509 6.738187 
#>     3409     3410     3411     3412     3413     3414     3415     3416 
#> 7.092323 7.090662 7.093984 7.093984 7.093984 7.090662 5.584302 5.579319 
#>     3417     3418     3419     3420     3421     3422     3423     3424 
#> 5.579319 5.579319 5.579319 5.580980 6.923030 6.921369 6.923030 6.924690 
#>     3425     3426     3427     3428     3429     3430     3431     3432 
#> 6.923030 6.923030 5.973991 5.977312 5.977312 5.990598 5.972330 5.973991 
#>     3433     3434     3435     3436     3437     3438     3439     3440 
#> 6.037534 6.040856 6.039195 6.039195 6.039195 5.984709 6.672103 6.672103 
#>     3441     3442     3443     3444     3445     3446     3447     3448 
#> 6.670443 6.670443 6.670443 6.672103 5.791626 5.793286 5.793286 5.793286 
#>     3449     3450     3451     3452     3453     3454     3455     3456 
#> 5.793286 5.793286 6.217628 6.225932 6.220950 6.215968 6.215968 6.217628 
#>     3457     3458     3459     3460     3461     3462     3463     3464 
#> 5.830583 5.830583 5.833905 5.832244 5.832244 5.833905 6.637778 6.637778 
#>     3465     3466     3467     3468     3469     3470     3471     3472 
#> 6.637778 6.636117 6.642760 6.644421 5.941892 5.941892 5.941892 5.946874 
#>     3473     3474     3475     3476     3477     3478     3479     3480 
#> 5.941892 5.940231 6.525406 6.515441 6.517102 6.513780 6.515441 6.518763 
#>     3481     3482     3483     3484     3485     3486     3487     3488 
#> 7.323827 7.322166 7.333791 7.307219 7.323827 7.327148 6.621458 6.598207 
#>     3489     3490     3491     3492     3493     3494     3495     3496 
#> 6.588243 6.591564 6.589904 6.588243 7.050241 7.056884 7.055223 7.061866 
#>     3497     3498     3499     3500     3501     3502     3503     3504 
#> 7.060205 7.055223 6.406954 6.410275 6.408615 6.410275 6.408615 6.408615 
#>     3505     3506     3507     3508     3509     3510     3511     3512 
#> 6.913619 6.918602 6.913619 6.918602 6.915280 6.916941 5.249071 5.249071 
#>     3513     3514     3515     3516     3517     3518     3519     3520 
#> 5.249071 5.249071 5.250731 5.283947 7.130137 7.131798 7.131798 7.133458 
#>     3521     3522     3523     3524     3525     3526     3527     3528 
#> 7.133458 7.133458 5.900665 5.902326 5.902326 5.902326 5.900665 5.900665 
#>     3529     3530     3531     3532     3533     3534     3535     3536 
#> 7.112136 7.113796 7.112136 7.112136 7.113796 7.113796 6.710714 6.712375 
#>     3537     3538     3539     3540     3541     3542     3543     3544 
#> 6.714035 6.712375 6.714035 6.712375 6.667562 6.674205 6.680848 6.667562 
#>     3545     3546     3547     3548     3549     3550     3551     3552 
#> 6.669223 6.667562 6.883044 6.826898 6.883044 6.878062 6.879723 6.883044 
#>     3553     3554     3555     3556     3557     3558     3559     3560 
#> 4.579596 4.592883 4.611151 4.592883 4.579596 4.592883 6.749565 6.749565 
#>     3561     3562     3563     3564     3565     3566     3567     3568 
#> 6.749565 6.754548 6.747905 6.751226 5.559922 5.559922 5.561583 5.559922 
#>     3569     3570 
#> 5.559922 5.559922