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Function to find maximum likelihood solutions to a multivariate Ornstein-Uhlenbeck model fitted using user-defined A and R matrices.

Usage

fit.multivariate.OU.user.defined(
  yy,
  A.user = NULL,
  R.user = NULL,
  method = "Nelder-Mead",
  hess = FALSE,
  pool = TRUE,
  trace = FALSE,
  iterations = NULL,
  iter.sd = NULL,
  user.init.diag.A = NULL,
  user.init.upper.diag.A = NULL,
  user.init.lower.diag.A = NULL,
  user.init.diag.R = NULL,
  user.init.off.diag.R = NULL,
  user.init.theta = NULL,
  user.init.anc = NULL
)

Arguments

yy

a multivariate evoTS object.

A.user

the pull matrix. A user-defined A matrix.

R.user

the drift matrix. A user-defined R matrix.

method

optimization method, passed to function optim. Default is "Nelder-Mead".

hess

logical, indicating whether to calculate standard errors from the Hessian matrix.

pool

indicating whether to pool variances across samples

trace

logical, indicating whether information on the progress of the optimization is printed.

iterations

the number of times the optimization method is run from different starting points. Default is NULL, meaning the optimization is run once.

iter.sd

defines the standard deviation of the Gaussian distribution from which starting values for the optimization routine is run. Default is 1.

user.init.diag.A

starting values for the optimization routine of the diagonal elements of the A matrix. Default is NULL.

user.init.upper.diag.A

starting values for the optimization routine of the upper diagonal elements of the A matrix. Default is NULL.

user.init.lower.diag.A

starting values for the optimization routine of the lower diagonal elements of the A matrix. Default is NULL.

user.init.diag.R

starting values for the optimization routine of the diagonal elements of the R matrix. Default is NULL.

user.init.off.diag.R

starting values for the optimization routine of the off-diagonal elements of the R matrix. Default is NULL.

user.init.theta

starting values for the optimization routine of the optima. Default is NULL.

user.init.anc

starting values for the optimization routine of the ancestral values. Default is NULL.

Value

First part of the output reports the log-likelihood of the model and its AICc score. The second part of the output is the maximum log-likelihood model parameters (ancestral.values, optima, A, and R). The half-life is also provided, which is the The last part of the output gives information about the number of parameters in the model (K), number of samples in the data (n) and number of times the optimization routine was run (iter).

Details

This function provides users the flexibility to define their own A and R matrices. The possibility to define any A matrices enable detailed investigation of specific evolutionary hypotheses. The parameters to be estimated in the matrices are indicated by the value 1. All other entries in the matrix must be 0.

The function searches - using an optimization routine - for the maximum-likelihood solution for the chosen multivariate Ornstein-Uhlenbeck model. The argument 'method' is passed to the 'optim' function and is included for the convenience of users to better control the optimization routine. Note that the the default method (Nelder-Mead) seems to work for most evolutionary sequences. The method L-BFGS-B allows box-constraints on some parameters (e.g. non-negative variance parameters) and is faster than Nelder-Mead, but is less stable than the default method (Nelder-Mead).

Initial estimates to start the optimization come from maximum-likelihood estimates of the univariate Ornstein-Uhlenbeck model (from the paleoTS package) fitted to each time-series separately.

It is good practice to repeat any numerical optimization procedure from different starting points. This is especially important for complex models as the log-likelihood surface might contain more than one peak. The number of iterations is controlled by the argument 'iterations'. The function will report the model parameters from the iteration with the highest log-likelihood.

There is no guarantee that the likelihood can be computed with the initial parameters provided by the function. The starting values for fitting the multivariate OU model are based on maximum likelihood parameter estimates for the univariate OU model fitted to each trait separately, which seems to provide sensible (and working) initial parameter estimates for almost all tested data sets. However, the provided initial parameters may fail depending on the nature of the data. If an error message is returned saying "function cannot be evaluated at initial parameters", the user can try to start the optimization procedure from other initial parameter values using "user.init.diag.A", "user.init.upper.diag.A", "user.init.lower.diag.A", "user.init.diag.R", "user.init.off.diag.R", "user.init.theta", and "user.init.anc." It is usually the initial guess of the off-diagonal elements of the A and R matrices that prevents the optimization routine to work. It is therefore recommended to only try to change these initial values before experimenting with different starting values for the diagonal of the A and R matrices.

Note

The models have been implemented to be compatible with the joint parameterization routine in the package paleoTS. The optimization is therefore fit using the actual sample values, with the autocorrelation among samples accounted for in the log-likelihood function. The joint distribution of sample means is multivariate normal, with means and variance-covariances determined by evolutionary parameters and sampling errors.

References

Reitan, T., Schweder, T. & Henderiks, J. Phenotypic evolution studied by layered stochastic differential equations. Ann Appl Statistics 6, 1531–1551 (2012).

Bartoszek, K., Pienaar, J., Mostad, P., Andersson, S. & Hansen, T. F. A phylogenetic comparative method for studying multivariate adaptation. J Theor Biol 314, 204–215 (2012).

Clavel, J., Escarguel, G. & Merceron, G. mvmorph: an r package for fitting multivariate evolutionary models to morphometric data. Methods Ecol Evol 6, 1311–1319 (2015).

Author

Kjetil Lysne Voje

Examples


## Generate a evoTS object by simulating a multivariate dataset
x <- sim.multi.OU(15)

## Define an A matrix that is lower diagonal.
A <- matrix(c(1,0,1,1), nrow=2, byrow=TRUE)

## Define a diagonal R matrix.
R <- matrix(c(1,0,0,1), nrow=2, byrow=TRUE)

# \donttest{
## Fit the multivariate Ornstein-Uhlenbeck model to the data. This example will run for a long time.
fit.multivariate.OU.user.defined(x, A.user=A, R.user=R, trace=TRUE)
#>   Nelder-Mead direct search function minimizer
#> function value for initial parameters = -2.015582
#>   Scaled convergence tolerance is 3.00345e-08
#> Stepsize computed as 0.611422
#> BUILD             10 18.311356 -2.272099
#> HI-REDUCTION      12 16.777490 -2.272099
#> HI-REDUCTION      14 3.451183 -2.272099
#> HI-REDUCTION      16 3.211999 -2.272099
#> HI-REDUCTION      18 2.035101 -2.272099
#> REFLECTION        20 1.724628 -4.241283
#> HI-REDUCTION      22 1.277849 -4.241283
#> EXTENSION         24 -0.050936 -7.810651
#> LO-REDUCTION      26 -0.063025 -7.810651
#> LO-REDUCTION      28 -0.346305 -7.810651
#> LO-REDUCTION      30 -0.816913 -7.810651
#> LO-REDUCTION      32 -2.013332 -7.810651
#> EXTENSION         34 -2.015582 -9.950624
#> LO-REDUCTION      36 -2.223796 -9.950624
#> LO-REDUCTION      38 -2.272099 -9.950624
#> LO-REDUCTION      40 -3.705187 -9.950624
#> REFLECTION        42 -4.241283 -10.025020
#> REFLECTION        44 -4.674696 -15.016772
#> LO-REDUCTION      46 -4.944520 -15.016772
#> HI-REDUCTION      48 -7.322024 -15.016772
#> HI-REDUCTION      50 -7.810651 -15.016772
#> LO-REDUCTION      52 -8.325029 -15.016772
#> LO-REDUCTION      54 -8.507553 -15.016772
#> LO-REDUCTION      56 -8.594073 -15.016772
#> EXTENSION         58 -9.072018 -18.668661
#> LO-REDUCTION      60 -9.728658 -18.668661
#> LO-REDUCTION      62 -9.950624 -18.668661
#> LO-REDUCTION      64 -10.025020 -18.668661
#> REFLECTION        66 -10.845628 -19.126938
#> LO-REDUCTION      68 -11.649467 -19.126938
#> HI-REDUCTION      70 -13.576123 -19.126938
#> LO-REDUCTION      72 -14.424847 -19.126938
#> REFLECTION        74 -14.515742 -20.925883
#> LO-REDUCTION      76 -15.016772 -20.925883
#> LO-REDUCTION      78 -15.137006 -20.925883
#> LO-REDUCTION      80 -16.865272 -20.925883
#> REFLECTION        82 -17.851750 -21.200884
#> LO-REDUCTION      84 -18.664835 -21.200884
#> LO-REDUCTION      86 -18.668661 -21.200884
#> LO-REDUCTION      88 -18.820732 -21.200884
#> HI-REDUCTION      90 -19.126938 -21.200884
#> LO-REDUCTION      92 -19.866975 -21.200884
#> REFLECTION        94 -20.005592 -21.321262
#> EXTENSION         96 -20.112442 -22.396620
#> LO-REDUCTION      98 -20.303557 -22.396620
#> LO-REDUCTION     100 -20.559620 -22.396620
#> LO-REDUCTION     102 -20.720317 -22.396620
#> HI-REDUCTION     104 -20.859930 -22.396620
#> HI-REDUCTION     106 -20.925883 -22.396620
#> LO-REDUCTION     108 -21.139637 -22.396620
#> EXTENSION        110 -21.200884 -22.842724
#> LO-REDUCTION     112 -21.321262 -22.842724
#> EXTENSION        114 -21.452603 -23.366249
#> LO-REDUCTION     116 -21.531168 -23.366249
#> LO-REDUCTION     118 -21.630298 -23.366249
#> HI-REDUCTION     120 -21.703419 -23.366249
#> EXTENSION        122 -21.848328 -24.064108
#> LO-REDUCTION     124 -21.878693 -24.064108
#> LO-REDUCTION     126 -21.907011 -24.064108
#> LO-REDUCTION     128 -22.325735 -24.064108
#> LO-REDUCTION     130 -22.396620 -24.064108
#> REFLECTION       132 -22.451707 -24.162818
#> REFLECTION       134 -22.842724 -24.212084
#> REFLECTION       136 -22.917709 -24.492763
#> EXTENSION        138 -23.296735 -25.216044
#> EXTENSION        140 -23.366249 -25.412137
#> LO-REDUCTION     142 -23.721490 -25.412137
#> LO-REDUCTION     144 -23.882440 -25.412137
#> LO-REDUCTION     146 -23.888432 -25.412137
#> LO-REDUCTION     148 -24.064108 -25.412137
#> LO-REDUCTION     150 -24.162818 -25.412137
#> LO-REDUCTION     152 -24.212084 -25.415740
#> REFLECTION       154 -24.470583 -25.670362
#> LO-REDUCTION     156 -24.492763 -25.670362
#> LO-REDUCTION     158 -24.994173 -25.670362
#> LO-REDUCTION     160 -25.023007 -25.670362
#> LO-REDUCTION     162 -25.089321 -25.670362
#> HI-REDUCTION     164 -25.216044 -25.670362
#> HI-REDUCTION     166 -25.346720 -25.670362
#> LO-REDUCTION     168 -25.365880 -25.670362
#> LO-REDUCTION     170 -25.412137 -25.670362
#> HI-REDUCTION     172 -25.415740 -25.670362
#> LO-REDUCTION     174 -25.432205 -25.670362
#> HI-REDUCTION     176 -25.474528 -25.670362
#> REFLECTION       178 -25.497569 -25.704261
#> LO-REDUCTION     180 -25.543291 -25.704261
#> EXTENSION        182 -25.575002 -25.764728
#> LO-REDUCTION     184 -25.579165 -25.764728
#> REFLECTION       186 -25.598603 -25.787204
#> EXTENSION        188 -25.625770 -25.838296
#> EXTENSION        190 -25.632492 -25.882793
#> EXTENSION        192 -25.635494 -26.048352
#> LO-REDUCTION     194 -25.670362 -26.048352
#> LO-REDUCTION     196 -25.694365 -26.048352
#> LO-REDUCTION     198 -25.704261 -26.048352
#> EXTENSION        200 -25.753149 -26.153662
#> LO-REDUCTION     202 -25.764728 -26.153662
#> LO-REDUCTION     204 -25.787204 -26.153662
#> EXTENSION        206 -25.838296 -26.233316
#> LO-REDUCTION     208 -25.882793 -26.233316
#> LO-REDUCTION     210 -25.891031 -26.233316
#> LO-REDUCTION     212 -25.924833 -26.233316
#> REFLECTION       214 -25.985732 -26.275141
#> EXTENSION        216 -26.045393 -26.424903
#> LO-REDUCTION     218 -26.048352 -26.424903
#> LO-REDUCTION     220 -26.092756 -26.424903
#> LO-REDUCTION     222 -26.094828 -26.424903
#> LO-REDUCTION     224 -26.153662 -26.424903
#> LO-REDUCTION     226 -26.166330 -26.424903
#> EXTENSION        228 -26.184682 -26.519880
#> LO-REDUCTION     230 -26.233316 -26.519880
#> LO-REDUCTION     232 -26.275141 -26.519880
#> LO-REDUCTION     234 -26.313141 -26.519880
#> REFLECTION       236 -26.319729 -26.531814
#> LO-REDUCTION     238 -26.344855 -26.531814
#> REFLECTION       240 -26.361886 -26.560216
#> REFLECTION       242 -26.411278 -26.571743
#> REFLECTION       244 -26.414065 -26.596874
#> LO-REDUCTION     246 -26.424903 -26.596874
#> LO-REDUCTION     248 -26.456820 -26.596874
#> LO-REDUCTION     250 -26.506972 -26.596874
#> LO-REDUCTION     252 -26.512675 -26.596874
#> LO-REDUCTION     254 -26.519880 -26.596874
#> LO-REDUCTION     256 -26.531814 -26.596874
#> LO-REDUCTION     258 -26.547360 -26.596874
#> REFLECTION       260 -26.560216 -26.610818
#> EXTENSION        262 -26.571743 -26.626128
#> HI-REDUCTION     264 -26.575877 -26.626128
#> EXTENSION        266 -26.582790 -26.632773
#> LO-REDUCTION     268 -26.583167 -26.632773
#> LO-REDUCTION     270 -26.585215 -26.632773
#> REFLECTION       272 -26.585393 -26.635705
#> REFLECTION       274 -26.596028 -26.649702
#> LO-REDUCTION     276 -26.596874 -26.649702
#> LO-REDUCTION     278 -26.598291 -26.649702
#> REFLECTION       280 -26.610818 -26.660321
#> EXTENSION        282 -26.626128 -26.695911
#> LO-REDUCTION     284 -26.626735 -26.695911
#> LO-REDUCTION     286 -26.632314 -26.695911
#> LO-REDUCTION     288 -26.632773 -26.695911
#> HI-REDUCTION     290 -26.635705 -26.695911
#> LO-REDUCTION     292 -26.641851 -26.695911
#> EXTENSION        294 -26.646684 -26.739279
#> LO-REDUCTION     296 -26.649702 -26.739279
#> LO-REDUCTION     298 -26.660321 -26.739279
#> LO-REDUCTION     300 -26.661557 -26.739279
#> LO-REDUCTION     302 -26.662458 -26.739279
#> EXTENSION        304 -26.675846 -26.765832
#> EXTENSION        306 -26.681421 -26.795662
#> EXTENSION        308 -26.695881 -26.831986
#> LO-REDUCTION     310 -26.695911 -26.831986
#> LO-REDUCTION     312 -26.715403 -26.831986
#> LO-REDUCTION     314 -26.719224 -26.831986
#> EXTENSION        316 -26.721450 -26.845993
#> LO-REDUCTION     318 -26.733250 -26.845993
#> EXTENSION        320 -26.739279 -26.868116
#> LO-REDUCTION     322 -26.765832 -26.868116
#> EXTENSION        324 -26.780775 -26.934080
#> LO-REDUCTION     326 -26.794113 -26.934080
#> EXTENSION        328 -26.795662 -26.969853
#> LO-REDUCTION     330 -26.821446 -26.969853
#> LO-REDUCTION     332 -26.831986 -26.969853
#> LO-REDUCTION     334 -26.832539 -26.969853
#> LO-REDUCTION     336 -26.844897 -26.969853
#> EXTENSION        338 -26.845993 -27.018771
#> LO-REDUCTION     340 -26.868116 -27.018771
#> EXTENSION        342 -26.900479 -27.032385
#> EXTENSION        344 -26.915212 -27.081791
#> LO-REDUCTION     346 -26.926545 -27.081791
#> LO-REDUCTION     348 -26.934080 -27.081791
#> LO-REDUCTION     350 -26.947660 -27.081791
#> LO-REDUCTION     352 -26.959136 -27.081791
#> LO-REDUCTION     354 -26.966219 -27.081791
#> LO-REDUCTION     356 -26.969853 -27.081791
#> LO-REDUCTION     358 -27.018771 -27.081791
#> REFLECTION       360 -27.031947 -27.087703
#> EXTENSION        362 -27.032385 -27.103179
#> REFLECTION       364 -27.049772 -27.116548
#> LO-REDUCTION     366 -27.052015 -27.116548
#> LO-REDUCTION     368 -27.073313 -27.116548
#> EXTENSION        370 -27.074315 -27.129464
#> LO-REDUCTION     372 -27.074621 -27.129464
#> LO-REDUCTION     374 -27.074882 -27.129464
#> LO-REDUCTION     376 -27.081791 -27.129464
#> REFLECTION       378 -27.087703 -27.132681
#> LO-REDUCTION     380 -27.098656 -27.132681
#> EXTENSION        382 -27.103179 -27.149828
#> LO-REDUCTION     384 -27.104223 -27.149828
#> REFLECTION       386 -27.111614 -27.151040
#> LO-REDUCTION     388 -27.115986 -27.151040
#> EXTENSION        390 -27.116548 -27.174018
#> LO-REDUCTION     392 -27.121636 -27.174018
#> LO-REDUCTION     394 -27.127601 -27.174018
#> LO-REDUCTION     396 -27.129464 -27.174018
#> EXTENSION        398 -27.132681 -27.184508
#> LO-REDUCTION     400 -27.135788 -27.184508
#> LO-REDUCTION     402 -27.140881 -27.184508
#> LO-REDUCTION     404 -27.141088 -27.184508
#> EXTENSION        406 -27.149828 -27.225295
#> LO-REDUCTION     408 -27.151040 -27.225295
#> LO-REDUCTION     410 -27.163469 -27.225295
#> LO-REDUCTION     412 -27.168091 -27.225295
#> LO-REDUCTION     414 -27.170616 -27.225295
#> LO-REDUCTION     416 -27.174018 -27.225295
#> LO-REDUCTION     418 -27.178139 -27.225295
#> EXTENSION        420 -27.180127 -27.242908
#> EXTENSION        422 -27.184508 -27.278086
#> LO-REDUCTION     424 -27.194118 -27.278086
#> LO-REDUCTION     426 -27.205667 -27.278086
#> LO-REDUCTION     428 -27.209002 -27.278086
#> LO-REDUCTION     430 -27.211801 -27.278086
#> EXTENSION        432 -27.214525 -27.296180
#> LO-REDUCTION     434 -27.217440 -27.296180
#> LO-REDUCTION     436 -27.225295 -27.296180
#> EXTENSION        438 -27.242908 -27.337804
#> LO-REDUCTION     440 -27.255614 -27.337804
#> LO-REDUCTION     442 -27.257662 -27.337804
#> LO-REDUCTION     444 -27.271192 -27.337804
#> LO-REDUCTION     446 -27.276977 -27.337804
#> LO-REDUCTION     448 -27.278086 -27.337804
#> LO-REDUCTION     450 -27.279988 -27.337804
#> REFLECTION       452 -27.281862 -27.344401
#> EXTENSION        454 -27.296180 -27.367065
#> EXTENSION        456 -27.308297 -27.382416
#> LO-REDUCTION     458 -27.321184 -27.382416
#> EXTENSION        460 -27.323906 -27.412794
#> LO-REDUCTION     462 -27.330256 -27.412794
#> LO-REDUCTION     464 -27.331346 -27.412794
#> LO-REDUCTION     466 -27.332790 -27.412794
#> LO-REDUCTION     468 -27.337804 -27.412794
#> LO-REDUCTION     470 -27.344401 -27.412794
#> REFLECTION       472 -27.367065 -27.414605
#> LO-REDUCTION     474 -27.375164 -27.414605
#> LO-REDUCTION     476 -27.377870 -27.414605
#> LO-REDUCTION     478 -27.378960 -27.414605
#> EXTENSION        480 -27.382416 -27.424666
#> LO-REDUCTION     482 -27.386501 -27.424666
#> EXTENSION        484 -27.398056 -27.435901
#> EXTENSION        486 -27.399939 -27.451812
#> LO-REDUCTION     488 -27.401212 -27.451812
#> LO-REDUCTION     490 -27.407338 -27.451812
#> EXTENSION        492 -27.412794 -27.479594
#> HI-REDUCTION     494 -27.414497 -27.479594
#> LO-REDUCTION     496 -27.414605 -27.479594
#> LO-REDUCTION     498 -27.420322 -27.479594
#> EXTENSION        500 -27.424666 -27.490932
#> LO-REDUCTION     502 -27.435901 -27.490932
#> EXTENSION        504 -27.438441 -27.500579
#> LO-REDUCTION     506 -27.443764 -27.500579
#> EXTENSION        508 -27.450914 -27.528835
#> LO-REDUCTION     510 -27.451812 -27.528835
#> LO-REDUCTION     512 -27.470438 -27.528835
#> EXTENSION        514 -27.479278 -27.557154
#> LO-REDUCTION     516 -27.479594 -27.557154
#> LO-REDUCTION     518 -27.482817 -27.557154
#> LO-REDUCTION     520 -27.490932 -27.557154
#> LO-REDUCTION     522 -27.493087 -27.557154
#> REFLECTION       524 -27.500579 -27.567852
#> LO-REDUCTION     526 -27.519245 -27.567852
#> REFLECTION       528 -27.526873 -27.571351
#> REFLECTION       530 -27.528835 -27.573702
#> LO-REDUCTION     532 -27.530404 -27.573702
#> EXTENSION        534 -27.540525 -27.601371
#> LO-REDUCTION     536 -27.553979 -27.601371
#> LO-REDUCTION     538 -27.554250 -27.601371
#> LO-REDUCTION     540 -27.557154 -27.601371
#> LO-REDUCTION     542 -27.557613 -27.601371
#> LO-REDUCTION     544 -27.567852 -27.601371
#> LO-REDUCTION     546 -27.569390 -27.601371
#> LO-REDUCTION     548 -27.571351 -27.601371
#> EXTENSION        550 -27.573702 -27.629697
#> LO-REDUCTION     552 -27.583869 -27.629697
#> LO-REDUCTION     554 -27.586923 -27.629697
#> LO-REDUCTION     556 -27.589380 -27.629697
#> LO-REDUCTION     558 -27.594009 -27.629697
#> LO-REDUCTION     560 -27.594147 -27.629697
#> LO-REDUCTION     562 -27.595558 -27.629697
#> LO-REDUCTION     564 -27.600875 -27.629697
#> LO-REDUCTION     566 -27.601371 -27.629697
#> LO-REDUCTION     568 -27.605171 -27.629697
#> EXTENSION        570 -27.608154 -27.638232
#> LO-REDUCTION     572 -27.609578 -27.638232
#> LO-REDUCTION     574 -27.610236 -27.638232
#> REFLECTION       576 -27.619050 -27.639392
#> EXTENSION        578 -27.619741 -27.641197
#> REFLECTION       580 -27.620353 -27.641512
#> EXTENSION        582 -27.621324 -27.656429
#> LO-REDUCTION     584 -27.622878 -27.656429
#> LO-REDUCTION     586 -27.629697 -27.656429
#> LO-REDUCTION     588 -27.634082 -27.656429
#> LO-REDUCTION     590 -27.634428 -27.656429
#> LO-REDUCTION     592 -27.638232 -27.656429
#> LO-REDUCTION     594 -27.639392 -27.656429
#> LO-REDUCTION     596 -27.640019 -27.656429
#> REFLECTION       598 -27.641197 -27.656446
#> LO-REDUCTION     600 -27.641512 -27.656446
#> LO-REDUCTION     602 -27.648078 -27.656446
#> REFLECTION       604 -27.649267 -27.657326
#> REFLECTION       606 -27.649488 -27.657624
#> EXTENSION        608 -27.650875 -27.664471
#> LO-REDUCTION     610 -27.651541 -27.664471
#> LO-REDUCTION     612 -27.652450 -27.664471
#> LO-REDUCTION     614 -27.652716 -27.664471
#> EXTENSION        616 -27.656258 -27.668405
#> LO-REDUCTION     618 -27.656429 -27.668405
#> LO-REDUCTION     620 -27.656446 -27.668405
#> LO-REDUCTION     622 -27.657326 -27.668405
#> LO-REDUCTION     624 -27.657620 -27.668405
#> EXTENSION        626 -27.657624 -27.674744
#> LO-REDUCTION     628 -27.659216 -27.674744
#> LO-REDUCTION     630 -27.661756 -27.674744
#> LO-REDUCTION     632 -27.661950 -27.674744
#> LO-REDUCTION     634 -27.663851 -27.674744
#> LO-REDUCTION     636 -27.664471 -27.674744
#> LO-REDUCTION     638 -27.665919 -27.674744
#> EXTENSION        640 -27.666495 -27.678429
#> LO-REDUCTION     642 -27.668405 -27.678429
#> LO-REDUCTION     644 -27.668884 -27.678429
#> EXTENSION        646 -27.669907 -27.683164
#> EXTENSION        648 -27.671446 -27.687236
#> LO-REDUCTION     650 -27.673754 -27.687236
#> LO-REDUCTION     652 -27.674533 -27.687236
#> LO-REDUCTION     654 -27.674718 -27.687236
#> REFLECTION       656 -27.674744 -27.687574
#> LO-REDUCTION     658 -27.676152 -27.687574
#> EXTENSION        660 -27.677996 -27.697360
#> LO-REDUCTION     662 -27.678429 -27.697360
#> LO-REDUCTION     664 -27.683164 -27.697360
#> LO-REDUCTION     666 -27.685147 -27.697360
#> LO-REDUCTION     668 -27.685664 -27.697360
#> EXTENSION        670 -27.686301 -27.701814
#> LO-REDUCTION     672 -27.686768 -27.701814
#> LO-REDUCTION     674 -27.687236 -27.701814
#> LO-REDUCTION     676 -27.687574 -27.701814
#> REFLECTION       678 -27.691465 -27.702491
#> LO-REDUCTION     680 -27.693452 -27.702491
#> EXTENSION        682 -27.693870 -27.704686
#> EXTENSION        684 -27.695923 -27.707164
#> REFLECTION       686 -27.697274 -27.707570
#> EXTENSION        688 -27.697360 -27.712681
#> LO-REDUCTION     690 -27.699508 -27.712681
#> LO-REDUCTION     692 -27.700478 -27.712681
#> LO-REDUCTION     694 -27.701814 -27.712681
#> HI-REDUCTION     696 -27.702143 -27.712681
#> LO-REDUCTION     698 -27.702491 -27.712681
#> LO-REDUCTION     700 -27.704686 -27.712681
#> EXTENSION        702 -27.706724 -27.717517
#> LO-REDUCTION     704 -27.707164 -27.717517
#> LO-REDUCTION     706 -27.707459 -27.717517
#> LO-REDUCTION     708 -27.707570 -27.717517
#> REFLECTION       710 -27.708971 -27.718318
#> REFLECTION       712 -27.711744 -27.719564
#> EXTENSION        714 -27.712452 -27.720151
#> LO-REDUCTION     716 -27.712649 -27.720151
#> EXTENSION        718 -27.712681 -27.725337
#> LO-REDUCTION     720 -27.714422 -27.725337
#> LO-REDUCTION     722 -27.714482 -27.725337
#> EXTENSION        724 -27.716845 -27.728943
#> LO-REDUCTION     726 -27.717517 -27.728943
#> LO-REDUCTION     728 -27.718318 -27.728943
#> LO-REDUCTION     730 -27.719564 -27.728943
#> LO-REDUCTION     732 -27.720075 -27.728943
#> LO-REDUCTION     734 -27.720151 -27.728943
#> LO-REDUCTION     736 -27.722939 -27.728943
#> REFLECTION       738 -27.723763 -27.729075
#> LO-REDUCTION     740 -27.724844 -27.729075
#> EXTENSION        742 -27.725337 -27.731659
#> LO-REDUCTION     744 -27.725891 -27.731659
#> LO-REDUCTION     746 -27.726079 -27.731659
#> LO-REDUCTION     748 -27.727370 -27.731659
#> LO-REDUCTION     750 -27.727438 -27.731659
#> HI-REDUCTION     752 -27.727834 -27.731659
#> LO-REDUCTION     754 -27.728001 -27.731659
#> LO-REDUCTION     756 -27.728943 -27.731659
#> LO-REDUCTION     758 -27.728980 -27.731659
#> EXTENSION        760 -27.729075 -27.732420
#> LO-REDUCTION     762 -27.729292 -27.732420
#> LO-REDUCTION     764 -27.729369 -27.732420
#> REFLECTION       766 -27.730143 -27.732602
#> REFLECTION       768 -27.730650 -27.732610
#> EXTENSION        770 -27.731327 -27.735285
#> LO-REDUCTION     772 -27.731339 -27.735285
#> LO-REDUCTION     774 -27.731357 -27.735285
#> LO-REDUCTION     776 -27.731659 -27.735285
#> LO-REDUCTION     778 -27.732073 -27.735285
#> LO-REDUCTION     780 -27.732350 -27.735285
#> LO-REDUCTION     782 -27.732420 -27.735285
#> HI-REDUCTION     784 -27.732602 -27.735285
#> LO-REDUCTION     786 -27.732610 -27.735285
#> LO-REDUCTION     788 -27.732793 -27.735285
#> EXTENSION        790 -27.733324 -27.736358
#> LO-REDUCTION     792 -27.733534 -27.736358
#> LO-REDUCTION     794 -27.733546 -27.736358
#> LO-REDUCTION     796 -27.733791 -27.736358
#> LO-REDUCTION     798 -27.733875 -27.736358
#> EXTENSION        800 -27.733942 -27.736791
#> EXTENSION        802 -27.734811 -27.737698
#> EXTENSION        804 -27.734871 -27.739709
#> LO-REDUCTION     806 -27.734941 -27.739709
#> LO-REDUCTION     808 -27.735285 -27.739709
#> LO-REDUCTION     810 -27.735691 -27.739709
#> LO-REDUCTION     812 -27.736194 -27.739709
#> LO-REDUCTION     814 -27.736250 -27.739709
#> LO-REDUCTION     816 -27.736358 -27.739709
#> LO-REDUCTION     818 -27.736791 -27.739709
#> EXTENSION        820 -27.737698 -27.742270
#> LO-REDUCTION     822 -27.738222 -27.742270
#> LO-REDUCTION     824 -27.738663 -27.742270
#> LO-REDUCTION     826 -27.738992 -27.742270
#> LO-REDUCTION     828 -27.738997 -27.742270
#> EXTENSION        830 -27.739096 -27.743282
#> EXTENSION        832 -27.739276 -27.745647
#> LO-REDUCTION     834 -27.739296 -27.745647
#> EXTENSION        836 -27.739709 -27.748060
#> LO-REDUCTION     838 -27.741268 -27.748060
#> LO-REDUCTION     840 -27.741485 -27.748060
#> LO-REDUCTION     842 -27.741982 -27.748060
#> LO-REDUCTION     844 -27.741991 -27.748060
#> EXTENSION        846 -27.742270 -27.748374
#> EXTENSION        848 -27.743282 -27.753022
#> LO-REDUCTION     850 -27.744486 -27.753022
#> LO-REDUCTION     852 -27.745045 -27.753022
#> EXTENSION        854 -27.745544 -27.757537
#> LO-REDUCTION     856 -27.745647 -27.757537
#> LO-REDUCTION     858 -27.747383 -27.757537
#> LO-REDUCTION     860 -27.747435 -27.757537
#> LO-REDUCTION     862 -27.748060 -27.757537
#> LO-REDUCTION     864 -27.748374 -27.757537
#> EXTENSION        866 -27.750694 -27.761733
#> LO-REDUCTION     868 -27.750907 -27.761733
#> LO-REDUCTION     870 -27.752238 -27.761733
#> EXTENSION        872 -27.753022 -27.764935
#> LO-REDUCTION     874 -27.753550 -27.764935
#> EXTENSION        876 -27.753771 -27.767955
#> LO-REDUCTION     878 -27.755728 -27.767955
#> EXTENSION        880 -27.756364 -27.773418
#> LO-REDUCTION     882 -27.757537 -27.773418
#> LO-REDUCTION     884 -27.759328 -27.773418
#> LO-REDUCTION     886 -27.759776 -27.773418
#> EXTENSION        888 -27.761733 -27.786048
#> LO-REDUCTION     890 -27.761953 -27.786048
#> LO-REDUCTION     892 -27.764935 -27.786048
#> LO-REDUCTION     894 -27.767936 -27.786048
#> LO-REDUCTION     896 -27.767955 -27.786048
#> LO-REDUCTION     898 -27.769889 -27.786048
#> LO-REDUCTION     900 -27.770110 -27.786048
#> EXTENSION        902 -27.773215 -27.791968
#> LO-REDUCTION     904 -27.773418 -27.791968
#> LO-REDUCTION     906 -27.774132 -27.791968
#> EXTENSION        908 -27.778635 -27.803432
#> LO-REDUCTION     910 -27.780756 -27.803432
#> LO-REDUCTION     912 -27.781571 -27.803432
#> LO-REDUCTION     914 -27.782336 -27.803432
#> EXTENSION        916 -27.783554 -27.810460
#> EXTENSION        918 -27.786048 -27.817307
#> LO-REDUCTION     920 -27.789900 -27.817307
#> EXTENSION        922 -27.791927 -27.827141
#> LO-REDUCTION     924 -27.791968 -27.827141
#> EXTENSION        926 -27.796302 -27.834772
#> EXTENSION        928 -27.800501 -27.845782
#> LO-REDUCTION     930 -27.802704 -27.845782
#> LO-REDUCTION     932 -27.803432 -27.845782
#> LO-REDUCTION     934 -27.808172 -27.845782
#> EXTENSION        936 -27.810460 -27.857659
#> LO-REDUCTION     938 -27.817307 -27.857659
#> LO-REDUCTION     940 -27.823106 -27.857659
#> LO-REDUCTION     942 -27.827141 -27.857659
#> LO-REDUCTION     944 -27.831785 -27.857659
#> EXTENSION        946 -27.833191 -27.866546
#> LO-REDUCTION     948 -27.834772 -27.866546
#> LO-REDUCTION     950 -27.839660 -27.866546
#> LO-REDUCTION     952 -27.845782 -27.866546
#> LO-REDUCTION     954 -27.845904 -27.866546
#> EXTENSION        956 -27.848805 -27.871470
#> LO-REDUCTION     958 -27.849466 -27.871470
#> EXTENSION        960 -27.850358 -27.876714
#> LO-REDUCTION     962 -27.857659 -27.876714
#> LO-REDUCTION     964 -27.858859 -27.876714
#> LO-REDUCTION     966 -27.859900 -27.876714
#> LO-REDUCTION     968 -27.860886 -27.876714
#> LO-REDUCTION     970 -27.863153 -27.876714
#> LO-REDUCTION     972 -27.864390 -27.876714
#> REFLECTION       974 -27.866546 -27.879233
#> LO-REDUCTION     976 -27.870490 -27.879233
#> LO-REDUCTION     978 -27.871171 -27.879233
#> LO-REDUCTION     980 -27.871470 -27.879233
#> LO-REDUCTION     982 -27.872816 -27.879233
#> LO-REDUCTION     984 -27.873194 -27.879233
#> LO-REDUCTION     986 -27.873624 -27.879233
#> EXTENSION        988 -27.874137 -27.882865
#> EXTENSION        990 -27.875302 -27.887006
#> LO-REDUCTION     992 -27.875836 -27.887006
#> LO-REDUCTION     994 -27.876503 -27.887006
#> LO-REDUCTION     996 -27.876714 -27.887006
#> LO-REDUCTION     998 -27.876884 -27.887006
#> EXTENSION       1000 -27.877703 -27.896600
#> LO-REDUCTION    1002 -27.877909 -27.896600
#> LO-REDUCTION    1004 -27.879233 -27.896600
#> LO-REDUCTION    1006 -27.882437 -27.896600
#> EXTENSION       1008 -27.882865 -27.902201
#> LO-REDUCTION    1010 -27.885199 -27.902201
#> LO-REDUCTION    1012 -27.885875 -27.902201
#> EXTENSION       1014 -27.886963 -27.910158
#> LO-REDUCTION    1016 -27.887006 -27.910158
#> EXTENSION       1018 -27.890775 -27.920554
#> LO-REDUCTION    1020 -27.891003 -27.920554
#> LO-REDUCTION    1022 -27.895895 -27.920554
#> LO-REDUCTION    1024 -27.896600 -27.920554
#> EXTENSION       1026 -27.898767 -27.937934
#> LO-REDUCTION    1028 -27.901681 -27.937934
#> LO-REDUCTION    1030 -27.902201 -27.937934
#> LO-REDUCTION    1032 -27.907978 -27.937934
#> LO-REDUCTION    1034 -27.910158 -27.937934
#> EXTENSION       1036 -27.912793 -27.955615
#> LO-REDUCTION    1038 -27.916621 -27.955615
#> EXTENSION       1040 -27.917255 -27.973014
#> LO-REDUCTION    1042 -27.920554 -27.973014
#> LO-REDUCTION    1044 -27.931344 -27.973014
#> LO-REDUCTION    1046 -27.933734 -27.973014
#> LO-REDUCTION    1048 -27.936037 -27.973014
#> EXTENSION       1050 -27.936574 -27.987297
#> EXTENSION       1052 -27.937934 -28.003721
#> LO-REDUCTION    1054 -27.947893 -28.003721
#> LO-REDUCTION    1056 -27.955615 -28.003721
#> EXTENSION       1058 -27.963015 -28.021543
#> LO-REDUCTION    1060 -27.963938 -28.021543
#> LO-REDUCTION    1062 -27.964346 -28.021543
#> LO-REDUCTION    1064 -27.970979 -28.021543
#> LO-REDUCTION    1066 -27.973014 -28.021543
#> LO-REDUCTION    1068 -27.987297 -28.021543
#> LO-REDUCTION    1070 -27.991750 -28.021543
#> EXTENSION       1072 -27.997927 -28.040954
#> LO-REDUCTION    1074 -27.999699 -28.040954
#> LO-REDUCTION    1076 -28.003721 -28.040954
#> LO-REDUCTION    1078 -28.012756 -28.040954
#> EXTENSION       1080 -28.014522 -28.059832
#> LO-REDUCTION    1082 -28.015104 -28.059832
#> LO-REDUCTION    1084 -28.020919 -28.059832
#> LO-REDUCTION    1086 -28.021230 -28.059832
#> EXTENSION       1088 -28.021543 -28.066912
#> LO-REDUCTION    1090 -28.029771 -28.066912
#> LO-REDUCTION    1092 -28.034151 -28.066912
#> EXTENSION       1094 -28.035121 -28.078282
#> EXTENSION       1096 -28.038788 -28.094533
#> LO-REDUCTION    1098 -28.040954 -28.094533
#> LO-REDUCTION    1100 -28.046295 -28.094533
#> EXTENSION       1102 -28.053434 -28.116098
#> LO-REDUCTION    1104 -28.056650 -28.116098
#> LO-REDUCTION    1106 -28.057806 -28.116098
#> LO-REDUCTION    1108 -28.059832 -28.116098
#> LO-REDUCTION    1110 -28.066912 -28.116098
#> EXTENSION       1112 -28.078282 -28.123130
#> EXTENSION       1114 -28.086244 -28.150819
#> LO-REDUCTION    1116 -28.087440 -28.150819
#> LO-REDUCTION    1118 -28.094533 -28.150819
#> LO-REDUCTION    1120 -28.098745 -28.150819
#> LO-REDUCTION    1122 -28.098918 -28.150819
#> LO-REDUCTION    1124 -28.099660 -28.150819
#> EXTENSION       1126 -28.105300 -28.163118
#> LO-REDUCTION    1128 -28.116098 -28.163118
#> LO-REDUCTION    1130 -28.123130 -28.163118
#> LO-REDUCTION    1132 -28.128563 -28.163118
#> LO-REDUCTION    1134 -28.131587 -28.163118
#> EXTENSION       1136 -28.137219 -28.175485
#> EXTENSION       1138 -28.138108 -28.184510
#> LO-REDUCTION    1140 -28.147716 -28.184510
#> LO-REDUCTION    1142 -28.148806 -28.184510
#> LO-REDUCTION    1144 -28.150819 -28.184510
#> HI-REDUCTION    1146 -28.152176 -28.184510
#> EXTENSION       1148 -28.157019 -28.196703
#> LO-REDUCTION    1150 -28.158614 -28.196703
#> LO-REDUCTION    1152 -28.163118 -28.196703
#> EXTENSION       1154 -28.170273 -28.204749
#> LO-REDUCTION    1156 -28.175485 -28.204749
#> LO-REDUCTION    1158 -28.176297 -28.204749
#> LO-REDUCTION    1160 -28.176981 -28.204749
#> LO-REDUCTION    1162 -28.182176 -28.204749
#> LO-REDUCTION    1164 -28.183994 -28.204749
#> LO-REDUCTION    1166 -28.184510 -28.204749
#> LO-REDUCTION    1168 -28.187783 -28.204749
#> REFLECTION      1170 -28.192476 -28.205041
#> LO-REDUCTION    1172 -28.194425 -28.205041
#> REFLECTION      1174 -28.196703 -28.205150
#> REFLECTION      1176 -28.198582 -28.207006
#> LO-REDUCTION    1178 -28.199697 -28.207006
#> LO-REDUCTION    1180 -28.200010 -28.207006
#> EXTENSION       1182 -28.200423 -28.213178
#> LO-REDUCTION    1184 -28.201226 -28.213178
#> LO-REDUCTION    1186 -28.201664 -28.213178
#> LO-REDUCTION    1188 -28.203106 -28.213178
#> LO-REDUCTION    1190 -28.204749 -28.213178
#> LO-REDUCTION    1192 -28.205041 -28.213178
#> LO-REDUCTION    1194 -28.205150 -28.213178
#> EXTENSION       1196 -28.206554 -28.214199
#> EXTENSION       1198 -28.207006 -28.216283
#> EXTENSION       1200 -28.207611 -28.218192
#> LO-REDUCTION    1202 -28.208757 -28.218192
#> EXTENSION       1204 -28.208835 -28.222433
#> LO-REDUCTION    1206 -28.209321 -28.222433
#> LO-REDUCTION    1208 -28.210945 -28.222433
#> LO-REDUCTION    1210 -28.211702 -28.222433
#> EXTENSION       1212 -28.213178 -28.224496
#> LO-REDUCTION    1214 -28.214199 -28.224496
#> HI-REDUCTION    1216 -28.216283 -28.224496
#> REFLECTION      1218 -28.217059 -28.225210
#> LO-REDUCTION    1220 -28.218192 -28.225210
#> LO-REDUCTION    1222 -28.219824 -28.225210
#> REFLECTION      1224 -28.220246 -28.226539
#> LO-REDUCTION    1226 -28.220356 -28.226539
#> LO-REDUCTION    1228 -28.221064 -28.226539
#> LO-REDUCTION    1230 -28.222433 -28.226539
#> LO-REDUCTION    1232 -28.224180 -28.226539
#> LO-REDUCTION    1234 -28.224496 -28.226539
#> REFLECTION      1236 -28.224606 -28.226796
#> LO-REDUCTION    1238 -28.224794 -28.226819
#> REFLECTION      1240 -28.224851 -28.227254
#> EXTENSION       1242 -28.225210 -28.228207
#> HI-REDUCTION    1244 -28.225327 -28.228207
#> LO-REDUCTION    1246 -28.226206 -28.228207
#> LO-REDUCTION    1248 -28.226347 -28.228207
#> HI-REDUCTION    1250 -28.226413 -28.228207
#> LO-REDUCTION    1252 -28.226539 -28.228207
#> REFLECTION      1254 -28.226796 -28.228327
#> EXTENSION       1256 -28.226819 -28.229088
#> LO-REDUCTION    1258 -28.226848 -28.229088
#> REFLECTION      1260 -28.227254 -28.229115
#> LO-REDUCTION    1262 -28.227288 -28.229115
#> LO-REDUCTION    1264 -28.227592 -28.229115
#> EXTENSION       1266 -28.227858 -28.230380
#> LO-REDUCTION    1268 -28.228027 -28.230380
#> LO-REDUCTION    1270 -28.228207 -28.230380
#> LO-REDUCTION    1272 -28.228327 -28.230380
#> LO-REDUCTION    1274 -28.228721 -28.230380
#> LO-REDUCTION    1276 -28.228742 -28.230380
#> LO-REDUCTION    1278 -28.228820 -28.230380
#> EXTENSION       1280 -28.229088 -28.230581
#> LO-REDUCTION    1282 -28.229115 -28.230581
#> LO-REDUCTION    1284 -28.229223 -28.230581
#> EXTENSION       1286 -28.229287 -28.231971
#> LO-REDUCTION    1288 -28.229804 -28.231971
#> LO-REDUCTION    1290 -28.229812 -28.231971
#> LO-REDUCTION    1292 -28.230033 -28.231971
#> LO-REDUCTION    1294 -28.230110 -28.231971
#> EXTENSION       1296 -28.230380 -28.233373
#> LO-REDUCTION    1298 -28.230482 -28.233373
#> LO-REDUCTION    1300 -28.230533 -28.233373
#> LO-REDUCTION    1302 -28.230581 -28.233373
#> LO-REDUCTION    1304 -28.231184 -28.233373
#> EXTENSION       1306 -28.231731 -28.234582
#> LO-REDUCTION    1308 -28.231825 -28.234582
#> LO-REDUCTION    1310 -28.231930 -28.234582
#> LO-REDUCTION    1312 -28.231971 -28.234582
#> EXTENSION       1314 -28.232427 -28.236715
#> LO-REDUCTION    1316 -28.232825 -28.236715
#> LO-REDUCTION    1318 -28.233130 -28.236715
#> LO-REDUCTION    1320 -28.233331 -28.236715
#> LO-REDUCTION    1322 -28.233373 -28.236715
#> EXTENSION       1324 -28.234209 -28.237205
#> EXTENSION       1326 -28.234286 -28.238428
#> EXTENSION       1328 -28.234503 -28.240150
#> LO-REDUCTION    1330 -28.234582 -28.240150
#> LO-REDUCTION    1332 -28.235765 -28.240150
#> LO-REDUCTION    1334 -28.236295 -28.240150
#> LO-REDUCTION    1336 -28.236435 -28.240150
#> REFLECTION      1338 -28.236713 -28.240545
#> LO-REDUCTION    1340 -28.236715 -28.240545
#> LO-REDUCTION    1342 -28.237205 -28.240545
#> REFLECTION      1344 -28.238428 -28.240763
#> LO-REDUCTION    1346 -28.238733 -28.240763
#> REFLECTION      1348 -28.239647 -28.241212
#> LO-REDUCTION    1350 -28.239718 -28.241212
#> LO-REDUCTION    1352 -28.240024 -28.241212
#> REFLECTION      1354 -28.240112 -28.241338
#> EXTENSION       1356 -28.240130 -28.242290
#> LO-REDUCTION    1358 -28.240150 -28.242290
#> LO-REDUCTION    1360 -28.240482 -28.242290
#> LO-REDUCTION    1362 -28.240545 -28.242290
#> LO-REDUCTION    1364 -28.240763 -28.242290
#> LO-REDUCTION    1366 -28.240936 -28.242290
#> LO-REDUCTION    1368 -28.241199 -28.242290
#> LO-REDUCTION    1370 -28.241212 -28.242290
#> REFLECTION      1372 -28.241338 -28.242402
#> LO-REDUCTION    1374 -28.241624 -28.242402
#> LO-REDUCTION    1376 -28.241783 -28.242402
#> LO-REDUCTION    1378 -28.241963 -28.242402
#> LO-REDUCTION    1380 -28.242006 -28.242402
#> LO-REDUCTION    1382 -28.242010 -28.242402
#> REFLECTION      1384 -28.242055 -28.242449
#> REFLECTION      1386 -28.242146 -28.242551
#> LO-REDUCTION    1388 -28.242201 -28.242551
#> REFLECTION      1390 -28.242290 -28.242605
#> LO-REDUCTION    1392 -28.242290 -28.242605
#> LO-REDUCTION    1394 -28.242305 -28.242605
#> LO-REDUCTION    1396 -28.242305 -28.242605
#> REFLECTION      1398 -28.242400 -28.242688
#> LO-REDUCTION    1400 -28.242402 -28.242688
#> LO-REDUCTION    1402 -28.242449 -28.242688
#> LO-REDUCTION    1404 -28.242518 -28.242688
#> LO-REDUCTION    1406 -28.242519 -28.242688
#> LO-REDUCTION    1408 -28.242542 -28.242688
#> REFLECTION      1410 -28.242551 -28.242711
#> REFLECTION      1412 -28.242565 -28.242731
#> EXTENSION       1414 -28.242595 -28.242906
#> LO-REDUCTION    1416 -28.242605 -28.242906
#> LO-REDUCTION    1418 -28.242637 -28.242906
#> LO-REDUCTION    1420 -28.242651 -28.242906
#> HI-REDUCTION    1422 -28.242672 -28.242906
#> LO-REDUCTION    1424 -28.242676 -28.242906
#> LO-REDUCTION    1426 -28.242688 -28.242906
#> LO-REDUCTION    1428 -28.242711 -28.242906
#> LO-REDUCTION    1430 -28.242731 -28.242906
#> EXTENSION       1432 -28.242748 -28.243048
#> LO-REDUCTION    1434 -28.242770 -28.243048
#> LO-REDUCTION    1436 -28.242779 -28.243048
#> LO-REDUCTION    1438 -28.242811 -28.243048
#> LO-REDUCTION    1440 -28.242822 -28.243048
#> EXTENSION       1442 -28.242827 -28.243196
#> LO-REDUCTION    1444 -28.242892 -28.243196
#> LO-REDUCTION    1446 -28.242899 -28.243196
#> LO-REDUCTION    1448 -28.242906 -28.243196
#> LO-REDUCTION    1450 -28.242928 -28.243196
#> EXTENSION       1452 -28.242960 -28.243288
#> LO-REDUCTION    1454 -28.242968 -28.243288
#> EXTENSION       1456 -28.243019 -28.243445
#> LO-REDUCTION    1458 -28.243048 -28.243445
#> LO-REDUCTION    1460 -28.243091 -28.243445
#> LO-REDUCTION    1462 -28.243124 -28.243445
#> LO-REDUCTION    1464 -28.243131 -28.243445
#> REFLECTION      1466 -28.243195 -28.243453
#> LO-REDUCTION    1468 -28.243196 -28.243453
#> REFLECTION      1470 -28.243227 -28.243481
#> LO-REDUCTION    1472 -28.243283 -28.243481
#> EXTENSION       1474 -28.243288 -28.243582
#> EXTENSION       1476 -28.243393 -28.243663
#> LO-REDUCTION    1478 -28.243402 -28.243663
#> LO-REDUCTION    1480 -28.243417 -28.243663
#> LO-REDUCTION    1482 -28.243427 -28.243663
#> LO-REDUCTION    1484 -28.243438 -28.243663
#> LO-REDUCTION    1486 -28.243445 -28.243663
#> LO-REDUCTION    1488 -28.243453 -28.243663
#> LO-REDUCTION    1490 -28.243481 -28.243663
#> LO-REDUCTION    1492 -28.243500 -28.243663
#> EXTENSION       1494 -28.243542 -28.243727
#> LO-REDUCTION    1496 -28.243575 -28.243727
#> LO-REDUCTION    1498 -28.243582 -28.243727
#> LO-REDUCTION    1500 -28.243589 -28.243727
#> EXTENSION       1502 -28.243605 -28.243790
#> LO-REDUCTION    1504 -28.243639 -28.243790
#> LO-REDUCTION    1506 -28.243642 -28.243790
#> LO-REDUCTION    1508 -28.243655 -28.243790
#> LO-REDUCTION    1510 -28.243663 -28.243790
#> LO-REDUCTION    1512 -28.243669 -28.243790
#> EXTENSION       1514 -28.243685 -28.243809
#> REFLECTION      1516 -28.243688 -28.243815
#> LO-REDUCTION    1518 -28.243727 -28.243815
#> REFLECTION      1520 -28.243731 -28.243821
#> REFLECTION      1522 -28.243742 -28.243825
#> EXTENSION       1524 -28.243742 -28.243900
#> LO-REDUCTION    1526 -28.243762 -28.243900
#> LO-REDUCTION    1528 -28.243769 -28.243900
#> LO-REDUCTION    1530 -28.243790 -28.243900
#> LO-REDUCTION    1532 -28.243806 -28.243900
#> LO-REDUCTION    1534 -28.243809 -28.243900
#> LO-REDUCTION    1536 -28.243815 -28.243900
#> LO-REDUCTION    1538 -28.243821 -28.243900
#> REFLECTION      1540 -28.243825 -28.243900
#> REFLECTION      1542 -28.243850 -28.243916
#> EXTENSION       1544 -28.243851 -28.243946
#> EXTENSION       1546 -28.243860 -28.243970
#> LO-REDUCTION    1548 -28.243876 -28.243970
#> EXTENSION       1550 -28.243877 -28.244017
#> LO-REDUCTION    1552 -28.243891 -28.244017
#> LO-REDUCTION    1554 -28.243892 -28.244017
#> LO-REDUCTION    1556 -28.243900 -28.244017
#> EXTENSION       1558 -28.243900 -28.244100
#> LO-REDUCTION    1560 -28.243916 -28.244100
#> LO-REDUCTION    1562 -28.243946 -28.244100
#> LO-REDUCTION    1564 -28.243957 -28.244100
#> LO-REDUCTION    1566 -28.243970 -28.244100
#> EXTENSION       1568 -28.243983 -28.244170
#> LO-REDUCTION    1570 -28.243985 -28.244170
#> EXTENSION       1572 -28.244004 -28.244277
#> LO-REDUCTION    1574 -28.244017 -28.244277
#> LO-REDUCTION    1576 -28.244033 -28.244277
#> LO-REDUCTION    1578 -28.244059 -28.244277
#> EXTENSION       1580 -28.244072 -28.244357
#> LO-REDUCTION    1582 -28.244079 -28.244357
#> LO-REDUCTION    1584 -28.244100 -28.244357
#> EXTENSION       1586 -28.244166 -28.244485
#> LO-REDUCTION    1588 -28.244170 -28.244485
#> EXTENSION       1590 -28.244199 -28.244696
#> LO-REDUCTION    1592 -28.244202 -28.244696
#> LO-REDUCTION    1594 -28.244262 -28.244696
#> LO-REDUCTION    1596 -28.244277 -28.244696
#> LO-REDUCTION    1598 -28.244312 -28.244696
#> EXTENSION       1600 -28.244345 -28.244887
#> LO-REDUCTION    1602 -28.244357 -28.244887
#> LO-REDUCTION    1604 -28.244419 -28.244887
#> EXTENSION       1606 -28.244485 -28.245291
#> LO-REDUCTION    1608 -28.244586 -28.245291
#> LO-REDUCTION    1610 -28.244599 -28.245291
#> LO-REDUCTION    1612 -28.244625 -28.245291
#> LO-REDUCTION    1614 -28.244634 -28.245291
#> EXTENSION       1616 -28.244696 -28.245595
#> LO-REDUCTION    1618 -28.244846 -28.245595
#> LO-REDUCTION    1620 -28.244853 -28.245595
#> LO-REDUCTION    1622 -28.244887 -28.245595
#> EXTENSION       1624 -28.245036 -28.246061
#> LO-REDUCTION    1626 -28.245042 -28.246061
#> LO-REDUCTION    1628 -28.245070 -28.246061
#> LO-REDUCTION    1630 -28.245216 -28.246061
#> LO-REDUCTION    1632 -28.245291 -28.246061
#> LO-REDUCTION    1634 -28.245344 -28.246061
#> EXTENSION       1636 -28.245492 -28.246551
#> LO-REDUCTION    1638 -28.245513 -28.246551
#> LO-REDUCTION    1640 -28.245514 -28.246551
#> LO-REDUCTION    1642 -28.245595 -28.246551
#> EXTENSION       1644 -28.245915 -28.247014
#> LO-REDUCTION    1646 -28.245930 -28.247014
#> LO-REDUCTION    1648 -28.245967 -28.247014
#> LO-REDUCTION    1650 -28.245987 -28.247014
#> EXTENSION       1652 -28.246061 -28.247126
#> REFLECTION      1654 -28.246213 -28.247184
#> EXTENSION       1656 -28.246489 -28.247614
#> LO-REDUCTION    1658 -28.246494 -28.247614
#> LO-REDUCTION    1660 -28.246551 -28.247614
#> LO-REDUCTION    1662 -28.246619 -28.247614
#> EXTENSION       1664 -28.246774 -28.248108
#> LO-REDUCTION    1666 -28.246941 -28.248108
#> LO-REDUCTION    1668 -28.247014 -28.248108
#> LO-REDUCTION    1670 -28.247126 -28.248108
#> LO-REDUCTION    1672 -28.247184 -28.248108
#> LO-REDUCTION    1674 -28.247201 -28.248108
#> LO-REDUCTION    1676 -28.247401 -28.248108
#> LO-REDUCTION    1678 -28.247450 -28.248108
#> LO-REDUCTION    1680 -28.247525 -28.248108
#> LO-REDUCTION    1682 -28.247565 -28.248108
#> LO-REDUCTION    1684 -28.247610 -28.248108
#> LO-REDUCTION    1686 -28.247614 -28.248108
#> LO-REDUCTION    1688 -28.247720 -28.248108
#> EXTENSION       1690 -28.247776 -28.248453
#> LO-REDUCTION    1692 -28.247849 -28.248453
#> LO-REDUCTION    1694 -28.247951 -28.248453
#> LO-REDUCTION    1696 -28.247964 -28.248453
#> LO-REDUCTION    1698 -28.248065 -28.248453
#> LO-REDUCTION    1700 -28.248087 -28.248453
#> EXTENSION       1702 -28.248100 -28.248545
#> LO-REDUCTION    1704 -28.248104 -28.248545
#> LO-REDUCTION    1706 -28.248108 -28.248545
#> LO-REDUCTION    1708 -28.248188 -28.248545
#> LO-REDUCTION    1710 -28.248240 -28.248545
#> EXTENSION       1712 -28.248277 -28.248695
#> LO-REDUCTION    1714 -28.248389 -28.248695
#> LO-REDUCTION    1716 -28.248409 -28.248695
#> REFLECTION      1718 -28.248424 -28.248715
#> LO-REDUCTION    1720 -28.248453 -28.248715
#> LO-REDUCTION    1722 -28.248493 -28.248715
#> REFLECTION      1724 -28.248500 -28.248722
#> REFLECTION      1726 -28.248528 -28.248779
#> EXTENSION       1728 -28.248545 -28.248950
#> LO-REDUCTION    1730 -28.248635 -28.248950
#> LO-REDUCTION    1732 -28.248679 -28.248950
#> LO-REDUCTION    1734 -28.248682 -28.248950
#> LO-REDUCTION    1736 -28.248694 -28.248950
#> LO-REDUCTION    1738 -28.248695 -28.248950
#> EXTENSION       1740 -28.248715 -28.249048
#> LO-REDUCTION    1742 -28.248722 -28.249048
#> LO-REDUCTION    1744 -28.248744 -28.249048
#> EXTENSION       1746 -28.248779 -28.249223
#> LO-REDUCTION    1748 -28.248815 -28.249223
#> LO-REDUCTION    1750 -28.248861 -28.249223
#> LO-REDUCTION    1752 -28.248867 -28.249223
#> EXTENSION       1754 -28.248894 -28.249408
#> LO-REDUCTION    1756 -28.248913 -28.249408
#> EXTENSION       1758 -28.248925 -28.249652
#> LO-REDUCTION    1760 -28.248950 -28.249652
#> LO-REDUCTION    1762 -28.249048 -28.249652
#> LO-REDUCTION    1764 -28.249097 -28.249652
#> EXTENSION       1766 -28.249170 -28.249897
#> LO-REDUCTION    1768 -28.249192 -28.249897
#> LO-REDUCTION    1770 -28.249223 -28.249897
#> EXTENSION       1772 -28.249328 -28.250326
#> LO-REDUCTION    1774 -28.249408 -28.250326
#> EXTENSION       1776 -28.249493 -28.250736
#> LO-REDUCTION    1778 -28.249599 -28.250736
#> LO-REDUCTION    1780 -28.249647 -28.250736
#> LO-REDUCTION    1782 -28.249652 -28.250736
#> LO-REDUCTION    1784 -28.249852 -28.250736
#> EXTENSION       1786 -28.249864 -28.251036
#> LO-REDUCTION    1788 -28.249897 -28.251036
#> EXTENSION       1790 -28.250163 -28.251373
#> LO-REDUCTION    1792 -28.250192 -28.251373
#> LO-REDUCTION    1794 -28.250326 -28.251373
#> LO-REDUCTION    1796 -28.250340 -28.251373
#> EXTENSION       1798 -28.250408 -28.251900
#> LO-REDUCTION    1800 -28.250697 -28.251900
#> LO-REDUCTION    1802 -28.250736 -28.251900
#> LO-REDUCTION    1804 -28.250800 -28.251900
#> EXTENSION       1806 -28.251036 -28.252022
#> LO-REDUCTION    1808 -28.251103 -28.252022
#> LO-REDUCTION    1810 -28.251146 -28.252022
#> LO-REDUCTION    1812 -28.251162 -28.252022
#> LO-REDUCTION    1814 -28.251362 -28.252022
#> EXTENSION       1816 -28.251373 -28.252287
#> LO-REDUCTION    1818 -28.251601 -28.252287
#> LO-REDUCTION    1820 -28.251608 -28.252287
#> EXTENSION       1822 -28.251728 -28.252496
#> LO-REDUCTION    1824 -28.251775 -28.252496
#> LO-REDUCTION    1826 -28.251830 -28.252496
#> LO-REDUCTION    1828 -28.251900 -28.252496
#> LO-REDUCTION    1830 -28.251928 -28.252496
#> LO-REDUCTION    1832 -28.252022 -28.252496
#> EXTENSION       1834 -28.252103 -28.252561
#> LO-REDUCTION    1836 -28.252118 -28.252561
#> EXTENSION       1838 -28.252238 -28.252877
#> LO-REDUCTION    1840 -28.252251 -28.252877
#> LO-REDUCTION    1842 -28.252287 -28.252877
#> LO-REDUCTION    1844 -28.252344 -28.252877
#> LO-REDUCTION    1846 -28.252399 -28.252877
#> LO-REDUCTION    1848 -28.252444 -28.252877
#> LO-REDUCTION    1850 -28.252496 -28.252877
#> LO-REDUCTION    1852 -28.252501 -28.252877
#> EXTENSION       1854 -28.252561 -28.253085
#> LO-REDUCTION    1856 -28.252572 -28.253085
#> EXTENSION       1858 -28.252712 -28.253290
#> LO-REDUCTION    1860 -28.252723 -28.253290
#> LO-REDUCTION    1862 -28.252746 -28.253290
#> LO-REDUCTION    1864 -28.252758 -28.253290
#> LO-REDUCTION    1866 -28.252761 -28.253290
#> LO-REDUCTION    1868 -28.252792 -28.253290
#> EXTENSION       1870 -28.252877 -28.253351
#> LO-REDUCTION    1872 -28.252889 -28.253351
#> EXTENSION       1874 -28.253040 -28.253626
#> LO-REDUCTION    1876 -28.253085 -28.253626
#> LO-REDUCTION    1878 -28.253103 -28.253626
#> LO-REDUCTION    1880 -28.253134 -28.253626
#> LO-REDUCTION    1882 -28.253145 -28.253626
#> LO-REDUCTION    1884 -28.253184 -28.253626
#> REFLECTION      1886 -28.253274 -28.253682
#> REFLECTION      1888 -28.253290 -28.253703
#> LO-REDUCTION    1890 -28.253351 -28.253703
#> LO-REDUCTION    1892 -28.253452 -28.253703
#> LO-REDUCTION    1894 -28.253471 -28.253703
#> EXTENSION       1896 -28.253495 -28.253894
#> LO-REDUCTION    1898 -28.253524 -28.253894
#> LO-REDUCTION    1900 -28.253583 -28.253894
#> LO-REDUCTION    1902 -28.253596 -28.253894
#> LO-REDUCTION    1904 -28.253626 -28.253894
#> LO-REDUCTION    1906 -28.253641 -28.253894
#> EXTENSION       1908 -28.253669 -28.254124
#> LO-REDUCTION    1910 -28.253682 -28.254124
#> LO-REDUCTION    1912 -28.253703 -28.254124
#> LO-REDUCTION    1914 -28.253739 -28.254124
#> EXTENSION       1916 -28.253819 -28.254211
#> LO-REDUCTION    1918 -28.253829 -28.254211
#> LO-REDUCTION    1920 -28.253833 -28.254211
#> LO-REDUCTION    1922 -28.253858 -28.254211
#> EXTENSION       1924 -28.253894 -28.254427
#> LO-REDUCTION    1926 -28.253989 -28.254427
#> LO-REDUCTION    1928 -28.253997 -28.254427
#> EXTENSION       1930 -28.254026 -28.254520
#> EXTENSION       1932 -28.254106 -28.254603
#> EXTENSION       1934 -28.254124 -28.254623
#> LO-REDUCTION    1936 -28.254174 -28.254623
#> REFLECTION      1938 -28.254186 -28.254703
#> LO-REDUCTION    1940 -28.254211 -28.254703
#> REFLECTION      1942 -28.254414 -28.254787
#> LO-REDUCTION    1944 -28.254416 -28.254787
#> LO-REDUCTION    1946 -28.254427 -28.254787
#> LO-REDUCTION    1948 -28.254520 -28.254787
#> LO-REDUCTION    1950 -28.254551 -28.254787
#> REFLECTION      1952 -28.254603 -28.254821
#> HI-REDUCTION    1954 -28.254623 -28.254821
#> LO-REDUCTION    1956 -28.254632 -28.254821
#> LO-REDUCTION    1958 -28.254638 -28.254821
#> EXTENSION       1960 -28.254703 -28.254934
#> LO-REDUCTION    1962 -28.254703 -28.254934
#> LO-REDUCTION    1964 -28.254723 -28.254934
#> LO-REDUCTION    1966 -28.254736 -28.254934
#> LO-REDUCTION    1968 -28.254736 -28.254934
#> LO-REDUCTION    1970 -28.254762 -28.254934
#> EXTENSION       1972 -28.254775 -28.254988
#> EXTENSION       1974 -28.254787 -28.255097
#> LO-REDUCTION    1976 -28.254819 -28.255097
#> EXTENSION       1978 -28.254821 -28.255200
#> LO-REDUCTION    1980 -28.254855 -28.255200
#> LO-REDUCTION    1982 -28.254883 -28.255200
#> LO-REDUCTION    1984 -28.254886 -28.255200
#> LO-REDUCTION    1986 -28.254907 -28.255200
#> LO-REDUCTION    1988 -28.254934 -28.255200
#> LO-REDUCTION    1990 -28.254988 -28.255200
#> EXTENSION       1992 -28.255036 -28.255370
#> LO-REDUCTION    1994 -28.255039 -28.255370
#> LO-REDUCTION    1996 -28.255097 -28.255370
#> LO-REDUCTION    1998 -28.255116 -28.255370
#> LO-REDUCTION    2000 -28.255126 -28.255370
#> LO-REDUCTION    2002 -28.255159 -28.255370
#> LO-REDUCTION    2004 -28.255170 -28.255370
#> LO-REDUCTION    2006 -28.255172 -28.255370
#> EXTENSION       2008 -28.255200 -28.255518
#> LO-REDUCTION    2010 -28.255227 -28.255518
#> LO-REDUCTION    2012 -28.255304 -28.255518
#> LO-REDUCTION    2014 -28.255320 -28.255518
#> EXTENSION       2016 -28.255328 -28.255607
#> LO-REDUCTION    2018 -28.255351 -28.255607
#> LO-REDUCTION    2020 -28.255352 -28.255607
#> LO-REDUCTION    2022 -28.255369 -28.255607
#> LO-REDUCTION    2024 -28.255370 -28.255607
#> REFLECTION      2026 -28.255407 -28.255620
#> EXTENSION       2028 -28.255471 -28.255700
#> EXTENSION       2030 -28.255495 -28.255802
#> LO-REDUCTION    2032 -28.255518 -28.255802
#> LO-REDUCTION    2034 -28.255550 -28.255802
#> LO-REDUCTION    2036 -28.255580 -28.255802
#> LO-REDUCTION    2038 -28.255590 -28.255802
#> EXTENSION       2040 -28.255595 -28.255835
#> LO-REDUCTION    2042 -28.255607 -28.255835
#> LO-REDUCTION    2044 -28.255620 -28.255835
#> LO-REDUCTION    2046 -28.255669 -28.255835
#> REFLECTION      2048 -28.255700 -28.255872
#> EXTENSION       2050 -28.255751 -28.256008
#> LO-REDUCTION    2052 -28.255753 -28.256008
#> LO-REDUCTION    2054 -28.255772 -28.256008
#> LO-REDUCTION    2056 -28.255796 -28.256008
#> LO-REDUCTION    2058 -28.255799 -28.256008
#> LO-REDUCTION    2060 -28.255802 -28.256008
#> LO-REDUCTION    2062 -28.255823 -28.256008
#> LO-REDUCTION    2064 -28.255835 -28.256008
#> REFLECTION      2066 -28.255872 -28.256015
#> REFLECTION      2068 -28.255895 -28.256027
#> LO-REDUCTION    2070 -28.255938 -28.256027
#> REFLECTION      2072 -28.255945 -28.256034
#> LO-REDUCTION    2074 -28.255960 -28.256034
#> EXTENSION       2076 -28.255978 -28.256071
#> LO-REDUCTION    2078 -28.255985 -28.256071
#> LO-REDUCTION    2080 -28.255988 -28.256071
#> EXTENSION       2082 -28.256008 -28.256105
#> LO-REDUCTION    2084 -28.256015 -28.256105
#> HI-REDUCTION    2086 -28.256019 -28.256105
#> LO-REDUCTION    2088 -28.256020 -28.256105
#> EXTENSION       2090 -28.256027 -28.256137
#> LO-REDUCTION    2092 -28.256034 -28.256137
#> LO-REDUCTION    2094 -28.256045 -28.256137
#> LO-REDUCTION    2096 -28.256049 -28.256137
#> LO-REDUCTION    2098 -28.256049 -28.256137
#> LO-REDUCTION    2100 -28.256063 -28.256137
#> EXTENSION       2102 -28.256071 -28.256145
#> EXTENSION       2104 -28.256080 -28.256168
#> REFLECTION      2106 -28.256088 -28.256169
#> EXTENSION       2108 -28.256105 -28.256195
#> LO-REDUCTION    2110 -28.256106 -28.256195
#> EXTENSION       2112 -28.256123 -28.256251
#> LO-REDUCTION    2114 -28.256124 -28.256251
#> LO-REDUCTION    2116 -28.256131 -28.256251
#> LO-REDUCTION    2118 -28.256137 -28.256251
#> LO-REDUCTION    2120 -28.256145 -28.256251
#> LO-REDUCTION    2122 -28.256168 -28.256251
#> LO-REDUCTION    2124 -28.256169 -28.256251
#> LO-REDUCTION    2126 -28.256177 -28.256251
#> EXTENSION       2128 -28.256179 -28.256305
#> LO-REDUCTION    2130 -28.256195 -28.256305
#> LO-REDUCTION    2132 -28.256205 -28.256305
#> LO-REDUCTION    2134 -28.256220 -28.256305
#> LO-REDUCTION    2136 -28.256229 -28.256305
#> LO-REDUCTION    2138 -28.256230 -28.256305
#> EXTENSION       2140 -28.256232 -28.256353
#> LO-REDUCTION    2142 -28.256239 -28.256353
#> LO-REDUCTION    2144 -28.256251 -28.256353
#> EXTENSION       2146 -28.256256 -28.256376
#> LO-REDUCTION    2148 -28.256272 -28.256376
#> EXTENSION       2150 -28.256285 -28.256402
#> EXTENSION       2152 -28.256286 -28.256451
#> EXTENSION       2154 -28.256296 -28.256531
#> LO-REDUCTION    2156 -28.256305 -28.256531
#> LO-REDUCTION    2158 -28.256343 -28.256531
#> EXTENSION       2160 -28.256347 -28.256583
#> LO-REDUCTION    2162 -28.256353 -28.256583
#> LO-REDUCTION    2164 -28.256367 -28.256583
#> EXTENSION       2166 -28.256376 -28.256590
#> EXTENSION       2168 -28.256402 -28.256695
#> EXTENSION       2170 -28.256451 -28.256789
#> EXTENSION       2172 -28.256503 -28.256921
#> LO-REDUCTION    2174 -28.256509 -28.256921
#> LO-REDUCTION    2176 -28.256529 -28.256921
#> LO-REDUCTION    2178 -28.256531 -28.256921
#> LO-REDUCTION    2180 -28.256573 -28.256921
#> EXTENSION       2182 -28.256583 -28.256977
#> LO-REDUCTION    2184 -28.256590 -28.256977
#> REFLECTION      2186 -28.256695 -28.256989
#> REFLECTION      2188 -28.256788 -28.257037
#> EXTENSION       2190 -28.256789 -28.257213
#> LO-REDUCTION    2192 -28.256792 -28.257213
#> LO-REDUCTION    2194 -28.256817 -28.257213
#> EXTENSION       2196 -28.256887 -28.257383
#> LO-REDUCTION    2198 -28.256921 -28.257383
#> LO-REDUCTION    2200 -28.256958 -28.257383
#> LO-REDUCTION    2202 -28.256977 -28.257383
#> LO-REDUCTION    2204 -28.256989 -28.257383
#> LO-REDUCTION    2206 -28.257037 -28.257383
#> LO-REDUCTION    2208 -28.257055 -28.257383
#> LO-REDUCTION    2210 -28.257147 -28.257383
#> EXTENSION       2212 -28.257176 -28.257490
#> EXTENSION       2214 -28.257203 -28.257621
#> LO-REDUCTION    2216 -28.257213 -28.257621
#> LO-REDUCTION    2218 -28.257291 -28.257621
#> LO-REDUCTION    2220 -28.257335 -28.257621
#> LO-REDUCTION    2222 -28.257340 -28.257621
#> EXTENSION       2224 -28.257346 -28.257719
#> LO-REDUCTION    2226 -28.257358 -28.257719
#> LO-REDUCTION    2228 -28.257383 -28.257719
#> REFLECTION      2230 -28.257490 -28.257721
#> LO-REDUCTION    2232 -28.257521 -28.257721
#> EXTENSION       2234 -28.257534 -28.257795
#> EXTENSION       2236 -28.257540 -28.257867
#> EXTENSION       2238 -28.257574 -28.258036
#> LO-REDUCTION    2240 -28.257621 -28.258036
#> LO-REDUCTION    2242 -28.257655 -28.258036
#> LO-REDUCTION    2244 -28.257666 -28.258036
#> LO-REDUCTION    2246 -28.257698 -28.258036
#> LO-REDUCTION    2248 -28.257719 -28.258036
#> LO-REDUCTION    2250 -28.257721 -28.258036
#> EXTENSION       2252 -28.257795 -28.258108
#> EXTENSION       2254 -28.257848 -28.258191
#> LO-REDUCTION    2256 -28.257867 -28.258191
#> LO-REDUCTION    2258 -28.257894 -28.258191
#> LO-REDUCTION    2260 -28.257915 -28.258191
#> EXTENSION       2262 -28.257949 -28.258302
#> EXTENSION       2264 -28.257953 -28.258408
#> LO-REDUCTION    2266 -28.257959 -28.258408
#> EXTENSION       2268 -28.258036 -28.258505
#> LO-REDUCTION    2270 -28.258077 -28.258505
#> LO-REDUCTION    2272 -28.258108 -28.258505
#> LO-REDUCTION    2274 -28.258146 -28.258505
#> LO-REDUCTION    2276 -28.258178 -28.258505
#> REFLECTION      2278 -28.258191 -28.258527
#> LO-REDUCTION    2280 -28.258288 -28.258527
#> LO-REDUCTION    2282 -28.258302 -28.258527
#> LO-REDUCTION    2284 -28.258306 -28.258527
#> EXTENSION       2286 -28.258394 -28.258584
#> LO-REDUCTION    2288 -28.258408 -28.258584
#> LO-REDUCTION    2290 -28.258417 -28.258584
#> EXTENSION       2292 -28.258432 -28.258633
#> EXTENSION       2294 -28.258466 -28.258714
#> LO-REDUCTION    2296 -28.258471 -28.258714
#> LO-REDUCTION    2298 -28.258505 -28.258714
#> LO-REDUCTION    2300 -28.258518 -28.258714
#> EXTENSION       2302 -28.258522 -28.258846
#> LO-REDUCTION    2304 -28.258527 -28.258846
#> LO-REDUCTION    2306 -28.258533 -28.258846
#> LO-REDUCTION    2308 -28.258584 -28.258846
#> LO-REDUCTION    2310 -28.258614 -28.258846
#> LO-REDUCTION    2312 -28.258633 -28.258846
#> LO-REDUCTION    2314 -28.258658 -28.258846
#> LO-REDUCTION    2316 -28.258670 -28.258846
#> EXTENSION       2318 -28.258695 -28.258935
#> LO-REDUCTION    2320 -28.258711 -28.258935
#> LO-REDUCTION    2322 -28.258714 -28.258935
#> LO-REDUCTION    2324 -28.258724 -28.258935
#> EXTENSION       2326 -28.258756 -28.259096
#> LO-REDUCTION    2328 -28.258804 -28.259096
#> LO-REDUCTION    2330 -28.258808 -28.259096
#> LO-REDUCTION    2332 -28.258830 -28.259096
#> EXTENSION       2334 -28.258846 -28.259196
#> LO-REDUCTION    2336 -28.258917 -28.259196
#> EXTENSION       2338 -28.258923 -28.259294
#> LO-REDUCTION    2340 -28.258935 -28.259294
#> LO-REDUCTION    2342 -28.258935 -28.259294
#> REFLECTION      2344 -28.258993 -28.259306
#> LO-REDUCTION    2346 -28.259055 -28.259306
#> LO-REDUCTION    2348 -28.259092 -28.259306
#> LO-REDUCTION    2350 -28.259096 -28.259306
#> LO-REDUCTION    2352 -28.259100 -28.259306
#> EXTENSION       2354 -28.259196 -28.259414
#> LO-REDUCTION    2356 -28.259205 -28.259414
#> LO-REDUCTION    2358 -28.259260 -28.259414
#> LO-REDUCTION    2360 -28.259261 -28.259414
#> EXTENSION       2362 -28.259266 -28.259538
#> LO-REDUCTION    2364 -28.259281 -28.259538
#> LO-REDUCTION    2366 -28.259294 -28.259538
#> LO-REDUCTION    2368 -28.259298 -28.259538
#> LO-REDUCTION    2370 -28.259306 -28.259538
#> EXTENSION       2372 -28.259381 -28.259612
#> LO-REDUCTION    2374 -28.259390 -28.259612
#> LO-REDUCTION    2376 -28.259406 -28.259612
#> LO-REDUCTION    2378 -28.259414 -28.259612
#> REFLECTION      2380 -28.259436 -28.259620
#> EXTENSION       2382 -28.259479 -28.259747
#> LO-REDUCTION    2384 -28.259481 -28.259747
#> LO-REDUCTION    2386 -28.259504 -28.259747
#> LO-REDUCTION    2388 -28.259538 -28.259747
#> LO-REDUCTION    2390 -28.259539 -28.259747
#> EXTENSION       2392 -28.259597 -28.259860
#> LO-REDUCTION    2394 -28.259598 -28.259860
#> LO-REDUCTION    2396 -28.259612 -28.259860
#> EXTENSION       2398 -28.259620 -28.259924
#> LO-REDUCTION    2400 -28.259684 -28.259924
#> LO-REDUCTION    2402 -28.259700 -28.259924
#> LO-REDUCTION    2404 -28.259714 -28.259924
#> EXTENSION       2406 -28.259721 -28.260014
#> LO-REDUCTION    2408 -28.259747 -28.260014
#> LO-REDUCTION    2410 -28.259763 -28.260014
#> EXTENSION       2412 -28.259764 -28.260068
#> LO-REDUCTION    2414 -28.259860 -28.260068
#> LO-REDUCTION    2416 -28.259861 -28.260068
#> LO-REDUCTION    2418 -28.259890 -28.260068
#> LO-REDUCTION    2420 -28.259906 -28.260068
#> LO-REDUCTION    2422 -28.259914 -28.260068
#> REFLECTION      2424 -28.259920 -28.260070
#> LO-REDUCTION    2426 -28.259924 -28.260070
#> LO-REDUCTION    2428 -28.259975 -28.260071
#> REFLECTION      2430 -28.260004 -28.260099
#> LO-REDUCTION    2432 -28.260014 -28.260099
#> LO-REDUCTION    2434 -28.260023 -28.260099
#> EXTENSION       2436 -28.260049 -28.260134
#> LO-REDUCTION    2438 -28.260056 -28.260134
#> EXTENSION       2440 -28.260064 -28.260174
#> LO-REDUCTION    2442 -28.260068 -28.260174
#> LO-REDUCTION    2444 -28.260070 -28.260174
#> LO-REDUCTION    2446 -28.260071 -28.260174
#> LO-REDUCTION    2448 -28.260086 -28.260174
#> EXTENSION       2450 -28.260090 -28.260200
#> LO-REDUCTION    2452 -28.260099 -28.260200
#> LO-REDUCTION    2454 -28.260118 -28.260200
#> LO-REDUCTION    2456 -28.260124 -28.260200
#> EXTENSION       2458 -28.260130 -28.260253
#> LO-REDUCTION    2460 -28.260131 -28.260253
#> LO-REDUCTION    2462 -28.260134 -28.260253
#> EXTENSION       2464 -28.260174 -28.260287
#> LO-REDUCTION    2466 -28.260174 -28.260287
#> LO-REDUCTION    2468 -28.260174 -28.260287
#> LO-REDUCTION    2470 -28.260191 -28.260287
#> EXTENSION       2472 -28.260198 -28.260338
#> LO-REDUCTION    2474 -28.260200 -28.260338
#> LO-REDUCTION    2476 -28.260201 -28.260338
#> EXTENSION       2478 -28.260238 -28.260356
#> LO-REDUCTION    2480 -28.260252 -28.260356
#> EXTENSION       2482 -28.260253 -28.260426
#> LO-REDUCTION    2484 -28.260255 -28.260426
#> LO-REDUCTION    2486 -28.260275 -28.260426
#> LO-REDUCTION    2488 -28.260287 -28.260426
#> LO-REDUCTION    2490 -28.260292 -28.260426
#> LO-REDUCTION    2492 -28.260324 -28.260426
#> LO-REDUCTION    2494 -28.260332 -28.260426
#> EXTENSION       2496 -28.260338 -28.260504
#> LO-REDUCTION    2498 -28.260356 -28.260504
#> LO-REDUCTION    2500 -28.260364 -28.260504
#> LO-REDUCTION    2502 -28.260391 -28.260504
#> LO-REDUCTION    2504 -28.260395 -28.260504
#> LO-REDUCTION    2506 -28.260399 -28.260504
#> LO-REDUCTION    2508 -28.260405 -28.260504
#> EXTENSION       2510 -28.260412 -28.260526
#> EXTENSION       2512 -28.260412 -28.260565
#> LO-REDUCTION    2514 -28.260426 -28.260565
#> LO-REDUCTION    2516 -28.260447 -28.260565
#> EXTENSION       2518 -28.260452 -28.260623
#> LO-REDUCTION    2520 -28.260478 -28.260623
#> LO-REDUCTION    2522 -28.260480 -28.260623
#> LO-REDUCTION    2524 -28.260490 -28.260623
#> EXTENSION       2526 -28.260504 -28.260628
#> LO-REDUCTION    2528 -28.260525 -28.260628
#> REFLECTION      2530 -28.260526 -28.260639
#> REFLECTION      2532 -28.260543 -28.260647
#> LO-REDUCTION    2534 -28.260565 -28.260647
#> LO-REDUCTION    2536 -28.260572 -28.260647
#> EXTENSION       2538 -28.260610 -28.260706
#> LO-REDUCTION    2540 -28.260616 -28.260706
#> LO-REDUCTION    2542 -28.260616 -28.260706
#> LO-REDUCTION    2544 -28.260623 -28.260706
#> LO-REDUCTION    2546 -28.260628 -28.260706
#> LO-REDUCTION    2548 -28.260639 -28.260706
#> LO-REDUCTION    2550 -28.260644 -28.260706
#> EXTENSION       2552 -28.260644 -28.260723
#> LO-REDUCTION    2554 -28.260647 -28.260723
#> LO-REDUCTION    2556 -28.260659 -28.260723
#> EXTENSION       2558 -28.260664 -28.260755
#> LO-REDUCTION    2560 -28.260679 -28.260755
#> LO-REDUCTION    2562 -28.260687 -28.260755
#> EXTENSION       2564 -28.260692 -28.260786
#> LO-REDUCTION    2566 -28.260694 -28.260786
#> LO-REDUCTION    2568 -28.260702 -28.260786
#> LO-REDUCTION    2570 -28.260704 -28.260786
#> EXTENSION       2572 -28.260706 -28.260811
#> LO-REDUCTION    2574 -28.260723 -28.260811
#> LO-REDUCTION    2576 -28.260742 -28.260811
#> LO-REDUCTION    2578 -28.260743 -28.260811
#> EXTENSION       2580 -28.260745 -28.260836
#> LO-REDUCTION    2582 -28.260746 -28.260836
#> LO-REDUCTION    2584 -28.260755 -28.260836
#> LO-REDUCTION    2586 -28.260755 -28.260836
#> EXTENSION       2588 -28.260782 -28.260858
#> LO-REDUCTION    2590 -28.260783 -28.260858
#> LO-REDUCTION    2592 -28.260786 -28.260858
#> LO-REDUCTION    2594 -28.260798 -28.260858
#> EXTENSION       2596 -28.260803 -28.260881
#> EXTENSION       2598 -28.260811 -28.260927
#> LO-REDUCTION    2600 -28.260816 -28.260927
#> LO-REDUCTION    2602 -28.260825 -28.260927
#> LO-REDUCTION    2604 -28.260836 -28.260927
#> LO-REDUCTION    2606 -28.260841 -28.260927
#> LO-REDUCTION    2608 -28.260845 -28.260927
#> LO-REDUCTION    2610 -28.260858 -28.260927
#> LO-REDUCTION    2612 -28.260858 -28.260927
#> LO-REDUCTION    2614 -28.260879 -28.260927
#> LO-REDUCTION    2616 -28.260881 -28.260927
#> LO-REDUCTION    2618 -28.260884 -28.260927
#> EXTENSION       2620 -28.260886 -28.260945
#> LO-REDUCTION    2622 -28.260890 -28.260945
#> EXTENSION       2624 -28.260899 -28.260966
#> EXTENSION       2626 -28.260905 -28.260987
#> LO-REDUCTION    2628 -28.260916 -28.260987
#> LO-REDUCTION    2630 -28.260917 -28.260987
#> LO-REDUCTION    2632 -28.260924 -28.260987
#> EXTENSION       2634 -28.260925 -28.261013
#> LO-REDUCTION    2636 -28.260927 -28.261013
#> LO-REDUCTION    2638 -28.260945 -28.261013
#> LO-REDUCTION    2640 -28.260945 -28.261013
#> EXTENSION       2642 -28.260961 -28.261037
#> EXTENSION       2644 -28.260966 -28.261065
#> LO-REDUCTION    2646 -28.260982 -28.261065
#> LO-REDUCTION    2648 -28.260986 -28.261065
#> LO-REDUCTION    2650 -28.260987 -28.261065
#> LO-REDUCTION    2652 -28.260990 -28.261065
#> REFLECTION      2654 -28.261007 -28.261066
#> LO-REDUCTION    2656 -28.261012 -28.261066
#> LO-REDUCTION    2658 -28.261013 -28.261066
#> LO-REDUCTION    2660 -28.261023 -28.261066
#> EXTENSION       2662 -28.261037 -28.261133
#> LO-REDUCTION    2664 -28.261047 -28.261133
#> LO-REDUCTION    2666 -28.261050 -28.261133
#> LO-REDUCTION    2668 -28.261058 -28.261133
#> LO-REDUCTION    2670 -28.261059 -28.261133
#> LO-REDUCTION    2672 -28.261060 -28.261133
#> LO-REDUCTION    2674 -28.261063 -28.261133
#> LO-REDUCTION    2676 -28.261065 -28.261133
#> LO-REDUCTION    2678 -28.261066 -28.261133
#> EXTENSION       2680 -28.261076 -28.261181
#> LO-REDUCTION    2682 -28.261078 -28.261181
#> LO-REDUCTION    2684 -28.261092 -28.261181
#> LO-REDUCTION    2686 -28.261093 -28.261181
#> LO-REDUCTION    2688 -28.261095 -28.261181
#> EXTENSION       2690 -28.261115 -28.261236
#> LO-REDUCTION    2692 -28.261118 -28.261236
#> LO-REDUCTION    2694 -28.261122 -28.261236
#> EXTENSION       2696 -28.261133 -28.261303
#> LO-REDUCTION    2698 -28.261151 -28.261303
#> LO-REDUCTION    2700 -28.261163 -28.261303
#> EXTENSION       2702 -28.261163 -28.261368
#> LO-REDUCTION    2704 -28.261180 -28.261368
#> LO-REDUCTION    2706 -28.261181 -28.261368
#> EXTENSION       2708 -28.261212 -28.261437
#> LO-REDUCTION    2710 -28.261224 -28.261437
#> EXTENSION       2712 -28.261236 -28.261504
#> EXTENSION       2714 -28.261274 -28.261613
#> LO-REDUCTION    2716 -28.261285 -28.261613
#> LO-REDUCTION    2718 -28.261303 -28.261613
#> EXTENSION       2720 -28.261336 -28.261803
#> LO-REDUCTION    2722 -28.261356 -28.261803
#> LO-REDUCTION    2724 -28.261368 -28.261803
#> LO-REDUCTION    2726 -28.261429 -28.261803
#> LO-REDUCTION    2728 -28.261437 -28.261803
#> EXTENSION       2730 -28.261504 -28.262056
#> LO-REDUCTION    2732 -28.261555 -28.262056
#> LO-REDUCTION    2734 -28.261593 -28.262056
#> LO-REDUCTION    2736 -28.261613 -28.262056
#> LO-REDUCTION    2738 -28.261684 -28.262056
#> EXTENSION       2740 -28.261722 -28.262266
#> LO-REDUCTION    2742 -28.261756 -28.262266
#> EXTENSION       2744 -28.261792 -28.262432
#> LO-REDUCTION    2746 -28.261803 -28.262432
#> LO-REDUCTION    2748 -28.261981 -28.262432
#> EXTENSION       2750 -28.261981 -28.262679
#> LO-REDUCTION    2752 -28.262049 -28.262679
#> LO-REDUCTION    2754 -28.262050 -28.262679
#> LO-REDUCTION    2756 -28.262056 -28.262679
#> LO-REDUCTION    2758 -28.262203 -28.262679
#> LO-REDUCTION    2760 -28.262266 -28.262679
#> REFLECTION      2762 -28.262369 -28.262690
#> EXTENSION       2764 -28.262416 -28.262813
#> LO-REDUCTION    2766 -28.262432 -28.262813
#> LO-REDUCTION    2768 -28.262441 -28.262813
#> EXTENSION       2770 -28.262473 -28.262872
#> REFLECTION      2772 -28.262575 -28.262880
#> EXTENSION       2774 -28.262606 -28.262967
#> EXTENSION       2776 -28.262647 -28.263065
#> LO-REDUCTION    2778 -28.262647 -28.263065
#> EXTENSION       2780 -28.262679 -28.263162
#> HI-REDUCTION    2782 -28.262690 -28.263162
#> LO-REDUCTION    2784 -28.262743 -28.263162
#> EXTENSION       2786 -28.262813 -28.263171
#> REFLECTION      2788 -28.262872 -28.263216
#> EXTENSION       2790 -28.262880 -28.263380
#> LO-REDUCTION    2792 -28.262908 -28.263380
#> LO-REDUCTION    2794 -28.262967 -28.263380
#> LO-REDUCTION    2796 -28.263000 -28.263380
#> LO-REDUCTION    2798 -28.263033 -28.263380
#> LO-REDUCTION    2800 -28.263065 -28.263380
#> LO-REDUCTION    2802 -28.263117 -28.263380
#> EXTENSION       2804 -28.263162 -28.263578
#> LO-REDUCTION    2806 -28.263171 -28.263578
#> LO-REDUCTION    2808 -28.263184 -28.263578
#> LO-REDUCTION    2810 -28.263216 -28.263578
#> LO-REDUCTION    2812 -28.263269 -28.263578
#> EXTENSION       2814 -28.263298 -28.263723
#> LO-REDUCTION    2816 -28.263313 -28.263723
#> EXTENSION       2818 -28.263378 -28.263813
#> LO-REDUCTION    2820 -28.263380 -28.263813
#> EXTENSION       2822 -28.263448 -28.264011
#> LO-REDUCTION    2824 -28.263480 -28.264011
#> LO-REDUCTION    2826 -28.263523 -28.264011
#> LO-REDUCTION    2828 -28.263563 -28.264011
#> LO-REDUCTION    2830 -28.263578 -28.264011
#> LO-REDUCTION    2832 -28.263620 -28.264011
#> EXTENSION       2834 -28.263672 -28.264263
#> LO-REDUCTION    2836 -28.263723 -28.264263
#> EXTENSION       2838 -28.263813 -28.264452
#> LO-REDUCTION    2840 -28.263881 -28.264452
#> LO-REDUCTION    2842 -28.263899 -28.264452
#> EXTENSION       2844 -28.263920 -28.264595
#> EXTENSION       2846 -28.263954 -28.264777
#> EXTENSION       2848 -28.263981 -28.264976
#> LO-REDUCTION    2850 -28.264011 -28.264976
#> LO-REDUCTION    2852 -28.264247 -28.264976
#> LO-REDUCTION    2854 -28.264263 -28.264976
#> LO-REDUCTION    2856 -28.264317 -28.264976
#> EXTENSION       2858 -28.264441 -28.265294
#> LO-REDUCTION    2860 -28.264452 -28.265294
#> LO-REDUCTION    2862 -28.264595 -28.265294
#> LO-REDUCTION    2864 -28.264748 -28.265294
#> LO-REDUCTION    2866 -28.264766 -28.265294
#> LO-REDUCTION    2868 -28.264777 -28.265294
#> LO-REDUCTION    2870 -28.264866 -28.265294
#> LO-REDUCTION    2872 -28.264921 -28.265294
#> LO-REDUCTION    2874 -28.264965 -28.265294
#> EXTENSION       2876 -28.264976 -28.265501
#> LO-REDUCTION    2878 -28.264997 -28.265501
#> LO-REDUCTION    2880 -28.265030 -28.265501
#> EXTENSION       2882 -28.265089 -28.265585
#> EXTENSION       2884 -28.265214 -28.265796
#> LO-REDUCTION    2886 -28.265222 -28.265796
#> LO-REDUCTION    2888 -28.265223 -28.265796
#> LO-REDUCTION    2890 -28.265238 -28.265796
#> EXTENSION       2892 -28.265266 -28.265847
#> REFLECTION      2894 -28.265294 -28.265910
#> REFLECTION      2896 -28.265462 -28.265967
#> EXTENSION       2898 -28.265501 -28.266181
#> LO-REDUCTION    2900 -28.265585 -28.266181
#> LO-REDUCTION    2902 -28.265634 -28.266181
#> LO-REDUCTION    2904 -28.265672 -28.266181
#> LO-REDUCTION    2906 -28.265690 -28.266181
#> LO-REDUCTION    2908 -28.265796 -28.266181
#> LO-REDUCTION    2910 -28.265847 -28.266181
#> LO-REDUCTION    2912 -28.265910 -28.266181
#> REFLECTION      2914 -28.265967 -28.266227
#> LO-REDUCTION    2916 -28.265968 -28.266227
#> EXTENSION       2918 -28.265973 -28.266380
#> LO-REDUCTION    2920 -28.266011 -28.266380
#> LO-REDUCTION    2922 -28.266138 -28.266380
#> LO-REDUCTION    2924 -28.266155 -28.266380
#> LO-REDUCTION    2926 -28.266161 -28.266380
#> LO-REDUCTION    2928 -28.266171 -28.266380
#> EXTENSION       2930 -28.266174 -28.266537
#> LO-REDUCTION    2932 -28.266181 -28.266537
#> EXTENSION       2934 -28.266227 -28.266619
#> LO-REDUCTION    2936 -28.266289 -28.266619
#> LO-REDUCTION    2938 -28.266294 -28.266619
#> LO-REDUCTION    2940 -28.266308 -28.266619
#> REFLECTION      2942 -28.266313 -28.266644
#> REFLECTION      2944 -28.266340 -28.266657
#> REFLECTION      2946 -28.266380 -28.266679
#> REFLECTION      2948 -28.266492 -28.266737
#> EXTENSION       2950 -28.266537 -28.266812
#> LO-REDUCTION    2952 -28.266568 -28.266812
#> LO-REDUCTION    2954 -28.266602 -28.266812
#> LO-REDUCTION    2956 -28.266610 -28.266812
#> LO-REDUCTION    2958 -28.266619 -28.266812
#> LO-REDUCTION    2960 -28.266644 -28.266812
#> EXTENSION       2962 -28.266657 -28.266887
#> LO-REDUCTION    2964 -28.266679 -28.266887
#> LO-REDUCTION    2966 -28.266731 -28.266887
#> EXTENSION       2968 -28.266736 -28.266920
#> LO-REDUCTION    2970 -28.266737 -28.266920
#> LO-REDUCTION    2972 -28.266770 -28.266920
#> LO-REDUCTION    2974 -28.266771 -28.266920
#> LO-REDUCTION    2976 -28.266791 -28.266920
#> LO-REDUCTION    2978 -28.266812 -28.266920
#> EXTENSION       2980 -28.266831 -28.267002
#> LO-REDUCTION    2982 -28.266839 -28.267002
#> LO-REDUCTION    2984 -28.266843 -28.267002
#> LO-REDUCTION    2986 -28.266887 -28.267002
#> LO-REDUCTION    2988 -28.266905 -28.267002
#> EXTENSION       2990 -28.266907 -28.267034
#> EXTENSION       2992 -28.266907 -28.267099
#> LO-REDUCTION    2994 -28.266909 -28.267099
#> LO-REDUCTION    2996 -28.266920 -28.267099
#> LO-REDUCTION    2998 -28.266949 -28.267099
#> LO-REDUCTION    3000 -28.266973 -28.267099
#> LO-REDUCTION    3002 -28.266986 -28.267099
#> LO-REDUCTION    3004 -28.266999 -28.267099
#> EXTENSION       3006 -28.267002 -28.267132
#> EXTENSION       3008 -28.267018 -28.267205
#> LO-REDUCTION    3010 -28.267034 -28.267205
#> LO-REDUCTION    3012 -28.267048 -28.267205
#> LO-REDUCTION    3014 -28.267058 -28.267205
#> EXTENSION       3016 -28.267061 -28.267290
#> LO-REDUCTION    3018 -28.267093 -28.267290
#> LO-REDUCTION    3020 -28.267096 -28.267290
#> LO-REDUCTION    3022 -28.267099 -28.267290
#> LO-REDUCTION    3024 -28.267109 -28.267290
#> EXTENSION       3026 -28.267132 -28.267388
#> LO-REDUCTION    3028 -28.267175 -28.267388
#> LO-REDUCTION    3030 -28.267180 -28.267388
#> LO-REDUCTION    3032 -28.267205 -28.267388
#> LO-REDUCTION    3034 -28.267206 -28.267388
#> EXTENSION       3036 -28.267240 -28.267462
#> LO-REDUCTION    3038 -28.267249 -28.267462
#> LO-REDUCTION    3040 -28.267264 -28.267462
#> LO-REDUCTION    3042 -28.267284 -28.267462
#> EXTENSION       3044 -28.267290 -28.267535
#> LO-REDUCTION    3046 -28.267333 -28.267535
#> EXTENSION       3048 -28.267358 -28.267595
#> LO-REDUCTION    3050 -28.267386 -28.267595
#> LO-REDUCTION    3052 -28.267388 -28.267595
#> LO-REDUCTION    3054 -28.267415 -28.267595
#> LO-REDUCTION    3056 -28.267449 -28.267595
#> HI-REDUCTION    3058 -28.267457 -28.267595
#> REFLECTION      3060 -28.267462 -28.267611
#> LO-REDUCTION    3062 -28.267490 -28.267611
#> EXTENSION       3064 -28.267533 -28.267737
#> LO-REDUCTION    3066 -28.267535 -28.267737
#> LO-REDUCTION    3068 -28.267540 -28.267737
#> LO-REDUCTION    3070 -28.267563 -28.267737
#> LO-REDUCTION    3072 -28.267583 -28.267737
#> LO-REDUCTION    3074 -28.267588 -28.267737
#> LO-REDUCTION    3076 -28.267595 -28.267737
#> LO-REDUCTION    3078 -28.267605 -28.267737
#> LO-REDUCTION    3080 -28.267605 -28.267737
#> LO-REDUCTION    3082 -28.267607 -28.267737
#> EXTENSION       3084 -28.267611 -28.267832
#> LO-REDUCTION    3086 -28.267634 -28.267832
#> LO-REDUCTION    3088 -28.267659 -28.267832
#> LO-REDUCTION    3090 -28.267680 -28.267832
#> LO-REDUCTION    3092 -28.267682 -28.267832
#> LO-REDUCTION    3094 -28.267686 -28.267832
#> EXTENSION       3096 -28.267704 -28.267961
#> LO-REDUCTION    3098 -28.267711 -28.267961
#> LO-REDUCTION    3100 -28.267737 -28.267961
#> EXTENSION       3102 -28.267791 -28.268068
#> LO-REDUCTION    3104 -28.267805 -28.268068
#> LO-REDUCTION    3106 -28.267811 -28.268068
#> LO-REDUCTION    3108 -28.267821 -28.268068
#> EXTENSION       3110 -28.267826 -28.268140
#> EXTENSION       3112 -28.267832 -28.268263
#> LO-REDUCTION    3114 -28.267886 -28.268263
#> EXTENSION       3116 -28.267940 -28.268445
#> LO-REDUCTION    3118 -28.267961 -28.268445
#> LO-REDUCTION    3120 -28.267986 -28.268445
#> LO-REDUCTION    3122 -28.268008 -28.268445
#> EXTENSION       3124 -28.268033 -28.268565
#> LO-REDUCTION    3126 -28.268068 -28.268565
#> EXTENSION       3128 -28.268140 -28.268633
#> EXTENSION       3130 -28.268225 -28.268814
#> LO-REDUCTION    3132 -28.268263 -28.268814
#> LO-REDUCTION    3134 -28.268305 -28.268814
#> EXTENSION       3136 -28.268311 -28.268861
#> LO-REDUCTION    3138 -28.268409 -28.268861
#> LO-REDUCTION    3140 -28.268445 -28.268861
#> LO-REDUCTION    3142 -28.268544 -28.268861
#> LO-REDUCTION    3144 -28.268565 -28.268861
#> REFLECTION      3146 -28.268633 -28.268875
#> EXTENSION       3148 -28.268752 -28.269065
#> LO-REDUCTION    3150 -28.268784 -28.269065
#> LO-REDUCTION    3152 -28.268798 -28.269065
#> HI-REDUCTION    3154 -28.268814 -28.269065
#> LO-REDUCTION    3156 -28.268815 -28.269065
#> EXTENSION       3158 -28.268851 -28.269200
#> LO-REDUCTION    3160 -28.268851 -28.269200
#> LO-REDUCTION    3162 -28.268861 -28.269200
#> LO-REDUCTION    3164 -28.268875 -28.269200
#> LO-REDUCTION    3166 -28.268915 -28.269200
#> LO-REDUCTION    3168 -28.268926 -28.269200
#> EXTENSION       3170 -28.268957 -28.269321
#> LO-REDUCTION    3172 -28.269006 -28.269321
#> LO-REDUCTION    3174 -28.269065 -28.269321
#> LO-REDUCTION    3176 -28.269072 -28.269321
#> REFLECTION      3178 -28.269100 -28.269344
#> REFLECTION      3180 -28.269121 -28.269360
#> EXTENSION       3182 -28.269166 -28.269488
#> LO-REDUCTION    3184 -28.269197 -28.269488
#> LO-REDUCTION    3186 -28.269200 -28.269488
#> LO-REDUCTION    3188 -28.269269 -28.269488
#> EXTENSION       3190 -28.269303 -28.269586
#> LO-REDUCTION    3192 -28.269312 -28.269586
#> HI-REDUCTION    3194 -28.269321 -28.269586
#> LO-REDUCTION    3196 -28.269344 -28.269586
#> LO-REDUCTION    3198 -28.269360 -28.269586
#> LO-REDUCTION    3200 -28.269392 -28.269586
#> EXTENSION       3202 -28.269401 -28.269679
#> LO-REDUCTION    3204 -28.269417 -28.269679
#> LO-REDUCTION    3206 -28.269443 -28.269679
#> LO-REDUCTION    3208 -28.269471 -28.269679
#> EXTENSION       3210 -28.269488 -28.269707
#> LO-REDUCTION    3212 -28.269538 -28.269707
#> LO-REDUCTION    3214 -28.269565 -28.269707
#> LO-REDUCTION    3216 -28.269577 -28.269707
#> LO-REDUCTION    3218 -28.269586 -28.269707
#> LO-REDUCTION    3220 -28.269612 -28.269707
#> REFLECTION      3222 -28.269639 -28.269727
#> LO-REDUCTION    3224 -28.269641 -28.269727
#> LO-REDUCTION    3226 -28.269678 -28.269727
#> LO-REDUCTION    3228 -28.269679 -28.269727
#> HI-REDUCTION    3230 -28.269692 -28.269727
#> LO-REDUCTION    3232 -28.269693 -28.269727
#> LO-REDUCTION    3234 -28.269697 -28.269727
#> LO-REDUCTION    3236 -28.269703 -28.269727
#> LO-REDUCTION    3238 -28.269707 -28.269727
#> LO-REDUCTION    3240 -28.269707 -28.269727
#> REFLECTION      3242 -28.269708 -28.269729
#> LO-REDUCTION    3244 -28.269708 -28.269729
#> LO-REDUCTION    3246 -28.269714 -28.269729
#> LO-REDUCTION    3248 -28.269715 -28.269729
#> EXTENSION       3250 -28.269721 -28.269737
#> LO-REDUCTION    3252 -28.269721 -28.269737
#> LO-REDUCTION    3254 -28.269722 -28.269737
#> LO-REDUCTION    3256 -28.269723 -28.269737
#> LO-REDUCTION    3258 -28.269724 -28.269737
#> LO-REDUCTION    3260 -28.269725 -28.269737
#> LO-REDUCTION    3262 -28.269727 -28.269737
#> LO-REDUCTION    3264 -28.269727 -28.269737
#> LO-REDUCTION    3266 -28.269729 -28.269737
#> LO-REDUCTION    3268 -28.269732 -28.269737
#> EXTENSION       3270 -28.269732 -28.269741
#> LO-REDUCTION    3272 -28.269733 -28.269741
#> EXTENSION       3274 -28.269734 -28.269745
#> LO-REDUCTION    3276 -28.269734 -28.269745
#> LO-REDUCTION    3278 -28.269734 -28.269745
#> LO-REDUCTION    3280 -28.269735 -28.269745
#> EXTENSION       3282 -28.269737 -28.269750
#> LO-REDUCTION    3284 -28.269737 -28.269750
#> LO-REDUCTION    3286 -28.269737 -28.269750
#> LO-REDUCTION    3288 -28.269739 -28.269750
#> LO-REDUCTION    3290 -28.269740 -28.269750
#> EXTENSION       3292 -28.269741 -28.269754
#> LO-REDUCTION    3294 -28.269741 -28.269754
#> EXTENSION       3296 -28.269741 -28.269760
#> EXTENSION       3298 -28.269744 -28.269766
#> LO-REDUCTION    3300 -28.269745 -28.269766
#> LO-REDUCTION    3302 -28.269746 -28.269766
#> LO-REDUCTION    3304 -28.269749 -28.269766
#> EXTENSION       3306 -28.269749 -28.269774
#> LO-REDUCTION    3308 -28.269750 -28.269774
#> LO-REDUCTION    3310 -28.269751 -28.269774
#> EXTENSION       3312 -28.269754 -28.269778
#> LO-REDUCTION    3314 -28.269758 -28.269778
#> EXTENSION       3316 -28.269760 -28.269783
#> EXTENSION       3318 -28.269764 -28.269790
#> LO-REDUCTION    3320 -28.269764 -28.269790
#> LO-REDUCTION    3322 -28.269766 -28.269790
#> LO-REDUCTION    3324 -28.269766 -28.269790
#> REFLECTION      3326 -28.269769 -28.269791
#> REFLECTION      3328 -28.269774 -28.269795
#> LO-REDUCTION    3330 -28.269776 -28.269795
#> EXTENSION       3332 -28.269778 -28.269796
#> LO-REDUCTION    3334 -28.269783 -28.269796
#> REFLECTION      3336 -28.269783 -28.269797
#> LO-REDUCTION    3338 -28.269785 -28.269797
#> REFLECTION      3340 -28.269789 -28.269798
#> LO-REDUCTION    3342 -28.269789 -28.269798
#> LO-REDUCTION    3344 -28.269790 -28.269798
#> LO-REDUCTION    3346 -28.269791 -28.269798
#> LO-REDUCTION    3348 -28.269793 -28.269798
#> LO-REDUCTION    3350 -28.269794 -28.269798
#> EXTENSION       3352 -28.269794 -28.269800
#> LO-REDUCTION    3354 -28.269795 -28.269800
#> HI-REDUCTION    3356 -28.269796 -28.269800
#> LO-REDUCTION    3358 -28.269797 -28.269800
#> LO-REDUCTION    3360 -28.269797 -28.269800
#> LO-REDUCTION    3362 -28.269797 -28.269800
#> LO-REDUCTION    3364 -28.269797 -28.269800
#> LO-REDUCTION    3366 -28.269798 -28.269800
#> REFLECTION      3368 -28.269798 -28.269800
#> REFLECTION      3370 -28.269798 -28.269801
#> REFLECTION      3372 -28.269799 -28.269802
#> LO-REDUCTION    3374 -28.269799 -28.269802
#> REFLECTION      3376 -28.269799 -28.269802
#> LO-REDUCTION    3378 -28.269800 -28.269802
#> LO-REDUCTION    3380 -28.269800 -28.269802
#> REFLECTION      3382 -28.269800 -28.269802
#> LO-REDUCTION    3384 -28.269800 -28.269802
#> REFLECTION      3386 -28.269800 -28.269802
#> LO-REDUCTION    3388 -28.269801 -28.269802
#> EXTENSION       3390 -28.269801 -28.269802
#> LO-REDUCTION    3392 -28.269801 -28.269802
#> LO-REDUCTION    3394 -28.269801 -28.269802
#> REFLECTION      3396 -28.269801 -28.269802
#> EXTENSION       3398 -28.269801 -28.269803
#> LO-REDUCTION    3400 -28.269802 -28.269803
#> LO-REDUCTION    3402 -28.269802 -28.269803
#> LO-REDUCTION    3404 -28.269802 -28.269803
#> LO-REDUCTION    3406 -28.269802 -28.269803
#> LO-REDUCTION    3408 -28.269802 -28.269803
#> LO-REDUCTION    3410 -28.269802 -28.269803
#> HI-REDUCTION    3412 -28.269802 -28.269803
#> EXTENSION       3414 -28.269802 -28.269803
#> EXTENSION       3416 -28.269803 -28.269803
#> LO-REDUCTION    3418 -28.269803 -28.269803
#> LO-REDUCTION    3420 -28.269803 -28.269803
#> LO-REDUCTION    3422 -28.269803 -28.269803
#> LO-REDUCTION    3424 -28.269803 -28.269803
#> REFLECTION      3426 -28.269803 -28.269803
#> REFLECTION      3428 -28.269803 -28.269804
#> REFLECTION      3430 -28.269803 -28.269804
#> EXTENSION       3432 -28.269803 -28.269804
#> EXTENSION       3434 -28.269803 -28.269804
#> LO-REDUCTION    3436 -28.269803 -28.269804
#> HI-REDUCTION    3438 -28.269803 -28.269804
#> LO-REDUCTION    3440 -28.269803 -28.269804
#> LO-REDUCTION    3442 -28.269803 -28.269804
#> LO-REDUCTION    3444 -28.269803 -28.269804
#> REFLECTION      3446 -28.269804 -28.269804
#> LO-REDUCTION    3448 -28.269804 -28.269804
#> LO-REDUCTION    3450 -28.269804 -28.269804
#> LO-REDUCTION    3452 -28.269804 -28.269804
#> REFLECTION      3454 -28.269804 -28.269804
#> EXTENSION       3456 -28.269804 -28.269804
#> LO-REDUCTION    3458 -28.269804 -28.269804
#> LO-REDUCTION    3460 -28.269804 -28.269804
#> LO-REDUCTION    3462 -28.269804 -28.269804
#> EXTENSION       3464 -28.269804 -28.269805
#> LO-REDUCTION    3466 -28.269804 -28.269805
#> LO-REDUCTION    3468 -28.269804 -28.269805
#> LO-REDUCTION    3470 -28.269804 -28.269805
#> LO-REDUCTION    3472 -28.269804 -28.269805
#> EXTENSION       3474 -28.269804 -28.269805
#> EXTENSION       3476 -28.269804 -28.269805
#> LO-REDUCTION    3478 -28.269804 -28.269805
#> LO-REDUCTION    3480 -28.269804 -28.269805
#> LO-REDUCTION    3482 -28.269804 -28.269805
#> EXTENSION       3484 -28.269804 -28.269805
#> LO-REDUCTION    3486 -28.269805 -28.269805
#> LO-REDUCTION    3488 -28.269805 -28.269805
#> LO-REDUCTION    3490 -28.269805 -28.269805
#> LO-REDUCTION    3492 -28.269805 -28.269805
#> EXTENSION       3494 -28.269805 -28.269805
#> EXTENSION       3496 -28.269805 -28.269805
#> LO-REDUCTION    3498 -28.269805 -28.269805
#> LO-REDUCTION    3500 -28.269805 -28.269805
#> LO-REDUCTION    3502 -28.269805 -28.269805
#> LO-REDUCTION    3504 -28.269805 -28.269805
#> EXTENSION       3506 -28.269805 -28.269806
#> LO-REDUCTION    3508 -28.269805 -28.269806
#> LO-REDUCTION    3510 -28.269805 -28.269806
#> LO-REDUCTION    3512 -28.269805 -28.269806
#> EXTENSION       3514 -28.269805 -28.269806
#> LO-REDUCTION    3516 -28.269805 -28.269806
#> LO-REDUCTION    3518 -28.269805 -28.269806
#> EXTENSION       3520 -28.269805 -28.269807
#> LO-REDUCTION    3522 -28.269805 -28.269807
#> LO-REDUCTION    3524 -28.269806 -28.269807
#> EXTENSION       3526 -28.269806 -28.269807
#> LO-REDUCTION    3528 -28.269806 -28.269807
#> LO-REDUCTION    3530 -28.269806 -28.269807
#> LO-REDUCTION    3532 -28.269806 -28.269807
#> LO-REDUCTION    3534 -28.269806 -28.269807
#> EXTENSION       3536 -28.269806 -28.269808
#> LO-REDUCTION    3538 -28.269806 -28.269808
#> LO-REDUCTION    3540 -28.269806 -28.269808
#> LO-REDUCTION    3542 -28.269807 -28.269808
#> LO-REDUCTION    3544 -28.269807 -28.269808
#> EXTENSION       3546 -28.269807 -28.269808
#> LO-REDUCTION    3548 -28.269807 -28.269808
#> LO-REDUCTION    3550 -28.269807 -28.269808
#> EXTENSION       3552 -28.269807 -28.269808
#> LO-REDUCTION    3554 -28.269807 -28.269808
#> LO-REDUCTION    3556 -28.269807 -28.269808
#> LO-REDUCTION    3558 -28.269808 -28.269808
#> EXTENSION       3560 -28.269808 -28.269809
#> EXTENSION       3562 -28.269808 -28.269809
#> LO-REDUCTION    3564 -28.269808 -28.269809
#> EXTENSION       3566 -28.269808 -28.269809
#> HI-REDUCTION    3568 -28.269808 -28.269809
#> LO-REDUCTION    3570 -28.269808 -28.269809
#> LO-REDUCTION    3572 -28.269808 -28.269809
#> LO-REDUCTION    3574 -28.269808 -28.269809
#> REFLECTION      3576 -28.269808 -28.269809
#> LO-REDUCTION    3578 -28.269809 -28.269809
#> HI-REDUCTION    3580 -28.269809 -28.269809
#> REFLECTION      3582 -28.269809 -28.269809
#> REFLECTION      3584 -28.269809 -28.269809
#> LO-REDUCTION    3586 -28.269809 -28.269809
#> EXTENSION       3588 -28.269809 -28.269810
#> LO-REDUCTION    3590 -28.269809 -28.269810
#> LO-REDUCTION    3592 -28.269809 -28.269810
#> LO-REDUCTION    3594 -28.269809 -28.269810
#> LO-REDUCTION    3596 -28.269809 -28.269810
#> LO-REDUCTION    3598 -28.269809 -28.269810
#> LO-REDUCTION    3600 -28.269809 -28.269810
#> EXTENSION       3602 -28.269809 -28.269810
#> LO-REDUCTION    3604 -28.269809 -28.269810
#> LO-REDUCTION    3606 -28.269809 -28.269810
#> LO-REDUCTION    3608 -28.269809 -28.269810
#> LO-REDUCTION    3610 -28.269809 -28.269810
#> LO-REDUCTION    3612 -28.269809 -28.269810
#> EXTENSION       3614 -28.269809 -28.269810
#> EXTENSION       3616 -28.269809 -28.269810
#> LO-REDUCTION    3618 -28.269810 -28.269810
#> LO-REDUCTION    3620 -28.269810 -28.269810
#> LO-REDUCTION    3622 -28.269810 -28.269810
#> EXTENSION       3624 -28.269810 -28.269810
#> EXTENSION       3626 -28.269810 -28.269811
#> LO-REDUCTION    3628 -28.269810 -28.269811
#> EXTENSION       3630 -28.269810 -28.269811
#> LO-REDUCTION    3632 -28.269810 -28.269811
#> EXTENSION       3634 -28.269810 -28.269811
#> LO-REDUCTION    3636 -28.269810 -28.269811
#> LO-REDUCTION    3638 -28.269810 -28.269811
#> LO-REDUCTION    3640 -28.269810 -28.269811
#> LO-REDUCTION    3642 -28.269810 -28.269811
#> EXTENSION       3644 -28.269811 -28.269812
#> LO-REDUCTION    3646 -28.269811 -28.269812
#> LO-REDUCTION    3648 -28.269811 -28.269812
#> LO-REDUCTION    3650 -28.269811 -28.269812
#> LO-REDUCTION    3652 -28.269811 -28.269812
#> LO-REDUCTION    3654 -28.269811 -28.269812
#> EXTENSION       3656 -28.269811 -28.269812
#> LO-REDUCTION    3658 -28.269811 -28.269812
#> LO-REDUCTION    3660 -28.269811 -28.269812
#> LO-REDUCTION    3662 -28.269811 -28.269812
#> EXTENSION       3664 -28.269812 -28.269813
#> LO-REDUCTION    3666 -28.269812 -28.269813
#> LO-REDUCTION    3668 -28.269812 -28.269813
#> LO-REDUCTION    3670 -28.269812 -28.269813
#> EXTENSION       3672 -28.269812 -28.269814
#> LO-REDUCTION    3674 -28.269812 -28.269814
#> EXTENSION       3676 -28.269812 -28.269814
#> LO-REDUCTION    3678 -28.269812 -28.269814
#> LO-REDUCTION    3680 -28.269812 -28.269814
#> LO-REDUCTION    3682 -28.269813 -28.269814
#> LO-REDUCTION    3684 -28.269813 -28.269814
#> LO-REDUCTION    3686 -28.269813 -28.269814
#> LO-REDUCTION    3688 -28.269813 -28.269814
#> EXTENSION       3690 -28.269813 -28.269815
#> LO-REDUCTION    3692 -28.269813 -28.269815
#> EXTENSION       3694 -28.269813 -28.269815
#> LO-REDUCTION    3696 -28.269814 -28.269815
#> LO-REDUCTION    3698 -28.269814 -28.269815
#> EXTENSION       3700 -28.269814 -28.269816
#> LO-REDUCTION    3702 -28.269814 -28.269816
#> LO-REDUCTION    3704 -28.269814 -28.269816
#> LO-REDUCTION    3706 -28.269814 -28.269816
#> LO-REDUCTION    3708 -28.269815 -28.269816
#> LO-REDUCTION    3710 -28.269815 -28.269816
#> EXTENSION       3712 -28.269815 -28.269818
#> LO-REDUCTION    3714 -28.269815 -28.269818
#> LO-REDUCTION    3716 -28.269815 -28.269818
#> LO-REDUCTION    3718 -28.269815 -28.269818
#> LO-REDUCTION    3720 -28.269816 -28.269818
#> LO-REDUCTION    3722 -28.269816 -28.269818
#> EXTENSION       3724 -28.269816 -28.269819
#> LO-REDUCTION    3726 -28.269816 -28.269819
#> EXTENSION       3728 -28.269816 -28.269819
#> LO-REDUCTION    3730 -28.269816 -28.269819
#> LO-REDUCTION    3732 -28.269817 -28.269819
#> EXTENSION       3734 -28.269817 -28.269820
#> EXTENSION       3736 -28.269817 -28.269822
#> LO-REDUCTION    3738 -28.269817 -28.269822
#> LO-REDUCTION    3740 -28.269818 -28.269822
#> LO-REDUCTION    3742 -28.269818 -28.269822
#> LO-REDUCTION    3744 -28.269819 -28.269822
#> EXTENSION       3746 -28.269819 -28.269823
#> EXTENSION       3748 -28.269819 -28.269823
#> EXTENSION       3750 -28.269819 -28.269824
#> LO-REDUCTION    3752 -28.269820 -28.269824
#> EXTENSION       3754 -28.269820 -28.269825
#> LO-REDUCTION    3756 -28.269821 -28.269825
#> LO-REDUCTION    3758 -28.269821 -28.269825
#> LO-REDUCTION    3760 -28.269822 -28.269825
#> LO-REDUCTION    3762 -28.269822 -28.269825
#> HI-REDUCTION    3764 -28.269823 -28.269825
#> LO-REDUCTION    3766 -28.269823 -28.269825
#> EXTENSION       3768 -28.269823 -28.269826
#> LO-REDUCTION    3770 -28.269824 -28.269826
#> LO-REDUCTION    3772 -28.269824 -28.269826
#> LO-REDUCTION    3774 -28.269824 -28.269826
#> EXTENSION       3776 -28.269824 -28.269827
#> LO-REDUCTION    3778 -28.269825 -28.269827
#> LO-REDUCTION    3780 -28.269825 -28.269827
#> LO-REDUCTION    3782 -28.269825 -28.269827
#> LO-REDUCTION    3784 -28.269825 -28.269827
#> LO-REDUCTION    3786 -28.269825 -28.269827
#> EXTENSION       3788 -28.269826 -28.269828
#> EXTENSION       3790 -28.269826 -28.269829
#> LO-REDUCTION    3792 -28.269826 -28.269829
#> LO-REDUCTION    3794 -28.269827 -28.269829
#> EXTENSION       3796 -28.269827 -28.269830
#> LO-REDUCTION    3798 -28.269827 -28.269830
#> LO-REDUCTION    3800 -28.269827 -28.269830
#> LO-REDUCTION    3802 -28.269827 -28.269830
#> LO-REDUCTION    3804 -28.269827 -28.269830
#> LO-REDUCTION    3806 -28.269828 -28.269830
#> LO-REDUCTION    3808 -28.269828 -28.269830
#> LO-REDUCTION    3810 -28.269828 -28.269830
#> LO-REDUCTION    3812 -28.269829 -28.269830
#> EXTENSION       3814 -28.269829 -28.269830
#> LO-REDUCTION    3816 -28.269829 -28.269830
#> LO-REDUCTION    3818 -28.269829 -28.269830
#> LO-REDUCTION    3820 -28.269829 -28.269830
#> LO-REDUCTION    3822 -28.269829 -28.269830
#> EXTENSION       3824 -28.269829 -28.269830
#> EXTENSION       3826 -28.269829 -28.269830
#> EXTENSION       3828 -28.269829 -28.269831
#> LO-REDUCTION    3830 -28.269829 -28.269831
#> LO-REDUCTION    3832 -28.269830 -28.269831
#> EXTENSION       3834 -28.269830 -28.269831
#> LO-REDUCTION    3836 -28.269830 -28.269831
#> LO-REDUCTION    3838 -28.269830 -28.269831
#> REFLECTION      3840 -28.269830 -28.269831
#> LO-REDUCTION    3842 -28.269830 -28.269831
#> LO-REDUCTION    3844 -28.269830 -28.269831
#> EXTENSION       3846 -28.269830 -28.269832
#> LO-REDUCTION    3848 -28.269831 -28.269832
#> LO-REDUCTION    3850 -28.269831 -28.269832
#> LO-REDUCTION    3852 -28.269831 -28.269832
#> LO-REDUCTION    3854 -28.269831 -28.269832
#> LO-REDUCTION    3856 -28.269831 -28.269832
#> EXTENSION       3858 -28.269831 -28.269833
#> LO-REDUCTION    3860 -28.269831 -28.269833
#> LO-REDUCTION    3862 -28.269831 -28.269833
#> LO-REDUCTION    3864 -28.269831 -28.269833
#> EXTENSION       3866 -28.269831 -28.269833
#> LO-REDUCTION    3868 -28.269832 -28.269833
#> EXTENSION       3870 -28.269832 -28.269834
#> LO-REDUCTION    3872 -28.269832 -28.269834
#> LO-REDUCTION    3874 -28.269832 -28.269834
#> LO-REDUCTION    3876 -28.269832 -28.269834
#> EXTENSION       3878 -28.269832 -28.269835
#> LO-REDUCTION    3880 -28.269832 -28.269835
#> EXTENSION       3882 -28.269833 -28.269836
#> LO-REDUCTION    3884 -28.269833 -28.269836
#> LO-REDUCTION    3886 -28.269833 -28.269836
#> LO-REDUCTION    3888 -28.269833 -28.269836
#> EXTENSION       3890 -28.269833 -28.269836
#> EXTENSION       3892 -28.269834 -28.269837
#> LO-REDUCTION    3894 -28.269834 -28.269837
#> EXTENSION       3896 -28.269834 -28.269838
#> LO-REDUCTION    3898 -28.269835 -28.269838
#> LO-REDUCTION    3900 -28.269835 -28.269838
#> LO-REDUCTION    3902 -28.269835 -28.269838
#> EXTENSION       3904 -28.269835 -28.269839
#> LO-REDUCTION    3906 -28.269836 -28.269839
#> LO-REDUCTION    3908 -28.269836 -28.269839
#> REFLECTION      3910 -28.269837 -28.269839
#> LO-REDUCTION    3912 -28.269837 -28.269839
#> EXTENSION       3914 -28.269837 -28.269840
#> EXTENSION       3916 -28.269837 -28.269841
#> LO-REDUCTION    3918 -28.269838 -28.269841
#> LO-REDUCTION    3920 -28.269838 -28.269841
#> LO-REDUCTION    3922 -28.269838 -28.269841
#> LO-REDUCTION    3924 -28.269838 -28.269841
#> LO-REDUCTION    3926 -28.269839 -28.269841
#> LO-REDUCTION    3928 -28.269839 -28.269841
#> LO-REDUCTION    3930 -28.269839 -28.269841
#> LO-REDUCTION    3932 -28.269839 -28.269841
#> EXTENSION       3934 -28.269839 -28.269842
#> LO-REDUCTION    3936 -28.269840 -28.269842
#> LO-REDUCTION    3938 -28.269840 -28.269842
#> EXTENSION       3940 -28.269840 -28.269842
#> EXTENSION       3942 -28.269840 -28.269844
#> LO-REDUCTION    3944 -28.269840 -28.269844
#> LO-REDUCTION    3946 -28.269840 -28.269844
#> LO-REDUCTION    3948 -28.269841 -28.269844
#> EXTENSION       3950 -28.269841 -28.269844
#> LO-REDUCTION    3952 -28.269841 -28.269844
#> LO-REDUCTION    3954 -28.269842 -28.269844
#> LO-REDUCTION    3956 -28.269842 -28.269844
#> REFLECTION      3958 -28.269842 -28.269844
#> EXTENSION       3960 -28.269842 -28.269845
#> LO-REDUCTION    3962 -28.269843 -28.269845
#> LO-REDUCTION    3964 -28.269843 -28.269845
#> LO-REDUCTION    3966 -28.269843 -28.269845
#> LO-REDUCTION    3968 -28.269844 -28.269845
#> LO-REDUCTION    3970 -28.269844 -28.269845
#> LO-REDUCTION    3972 -28.269844 -28.269845
#> LO-REDUCTION    3974 -28.269844 -28.269845
#> LO-REDUCTION    3976 -28.269844 -28.269845
#> LO-REDUCTION    3978 -28.269844 -28.269845
#> EXTENSION       3980 -28.269844 -28.269846
#> LO-REDUCTION    3982 -28.269844 -28.269846
#> EXTENSION       3984 -28.269845 -28.269846
#> LO-REDUCTION    3986 -28.269845 -28.269846
#> LO-REDUCTION    3988 -28.269845 -28.269846
#> LO-REDUCTION    3990 -28.269845 -28.269846
#> REFLECTION      3992 -28.269845 -28.269846
#> EXTENSION       3994 -28.269845 -28.269846
#> LO-REDUCTION    3996 -28.269845 -28.269846
#> LO-REDUCTION    3998 -28.269845 -28.269846
#> LO-REDUCTION    4000 -28.269846 -28.269846
#> LO-REDUCTION    4002 -28.269846 -28.269846
#> LO-REDUCTION    4004 -28.269846 -28.269846
#> HI-REDUCTION    4006 -28.269846 -28.269846
#> LO-REDUCTION    4008 -28.269846 -28.269846
#> LO-REDUCTION    4010 -28.269846 -28.269846
#> EXTENSION       4012 -28.269846 -28.269846
#> LO-REDUCTION    4014 -28.269846 -28.269846
#> EXTENSION       4016 -28.269846 -28.269847
#> LO-REDUCTION    4018 -28.269846 -28.269847
#> LO-REDUCTION    4020 -28.269846 -28.269847
#> LO-REDUCTION    4022 -28.269846 -28.269847
#> LO-REDUCTION    4024 -28.269846 -28.269847
#> LO-REDUCTION    4026 -28.269846 -28.269847
#> LO-REDUCTION    4028 -28.269846 -28.269847
#> LO-REDUCTION    4030 -28.269846 -28.269847
#> LO-REDUCTION    4032 -28.269846 -28.269847
#> LO-REDUCTION    4034 -28.269846 -28.269847
#> LO-REDUCTION    4036 -28.269846 -28.269847
#> EXTENSION       4038 -28.269847 -28.269847
#> HI-REDUCTION    4040 -28.269847 -28.269847
#> LO-REDUCTION    4042 -28.269847 -28.269847
#> REFLECTION      4044 -28.269847 -28.269847
#> LO-REDUCTION    4046 -28.269847 -28.269847
#> LO-REDUCTION    4048 -28.269847 -28.269847
#> LO-REDUCTION    4050 -28.269847 -28.269847
#> LO-REDUCTION    4052 -28.269847 -28.269847
#> LO-REDUCTION    4054 -28.269847 -28.269847
#> LO-REDUCTION    4056 -28.269847 -28.269847
#> EXTENSION       4058 -28.269847 -28.269847
#> LO-REDUCTION    4060 -28.269847 -28.269847
#> LO-REDUCTION    4062 -28.269847 -28.269847
#> LO-REDUCTION    4064 -28.269847 -28.269847
#> LO-REDUCTION    4066 -28.269847 -28.269847
#> EXTENSION       4068 -28.269847 -28.269847
#> LO-REDUCTION    4070 -28.269847 -28.269847
#> LO-REDUCTION    4072 -28.269847 -28.269847
#> EXTENSION       4074 -28.269847 -28.269847
#> LO-REDUCTION    4076 -28.269847 -28.269847
#> LO-REDUCTION    4078 -28.269847 -28.269847
#> LO-REDUCTION    4080 -28.269847 -28.269847
#> LO-REDUCTION    4082 -28.269847 -28.269847
#> LO-REDUCTION    4084 -28.269847 -28.269847
#> EXTENSION       4086 -28.269847 -28.269847
#> EXTENSION       4088 -28.269847 -28.269847
#> LO-REDUCTION    4090 -28.269847 -28.269847
#> LO-REDUCTION    4092 -28.269847 -28.269847
#> LO-REDUCTION    4094 -28.269847 -28.269847
#> LO-REDUCTION    4096 -28.269847 -28.269847
#> REFLECTION      4098 -28.269847 -28.269847
#> EXTENSION       4100 -28.269847 -28.269847
#> LO-REDUCTION    4102 -28.269847 -28.269847
#> LO-REDUCTION    4104 -28.269847 -28.269847
#> EXTENSION       4106 -28.269847 -28.269847
#> LO-REDUCTION    4108 -28.269847 -28.269847
#> LO-REDUCTION    4110 -28.269847 -28.269847
#> LO-REDUCTION    4112 -28.269847 -28.269847
#> LO-REDUCTION    4114 -28.269847 -28.269847
#> LO-REDUCTION    4116 -28.269847 -28.269847
#> REFLECTION      4118 -28.269847 -28.269847
#> LO-REDUCTION    4120 -28.269847 -28.269847
#> EXTENSION       4122 -28.269847 -28.269847
#> LO-REDUCTION    4124 -28.269847 -28.269847
#> LO-REDUCTION    4126 -28.269847 -28.269847
#> LO-REDUCTION    4128 -28.269847 -28.269847
#> EXTENSION       4130 -28.269847 -28.269847
#> LO-REDUCTION    4132 -28.269847 -28.269847
#> HI-REDUCTION    4134 -28.269847 -28.269847
#> EXTENSION       4136 -28.269847 -28.269847
#> LO-REDUCTION    4138 -28.269847 -28.269847
#> LO-REDUCTION    4140 -28.269847 -28.269847
#> LO-REDUCTION    4142 -28.269847 -28.269847
#> EXTENSION       4144 -28.269847 -28.269847
#> LO-REDUCTION    4146 -28.269847 -28.269847
#> LO-REDUCTION    4148 -28.269847 -28.269847
#> EXTENSION       4150 -28.269847 -28.269847
#> LO-REDUCTION    4152 -28.269847 -28.269847
#> HI-REDUCTION    4154 -28.269847 -28.269847
#> LO-REDUCTION    4156 -28.269847 -28.269847
#> LO-REDUCTION    4158 -28.269847 -28.269847
#> LO-REDUCTION    4160 -28.269847 -28.269847
#> LO-REDUCTION    4162 -28.269847 -28.269847
#> EXTENSION       4164 -28.269847 -28.269847
#> EXTENSION       4166 -28.269847 -28.269847
#> LO-REDUCTION    4168 -28.269847 -28.269847
#> LO-REDUCTION    4170 -28.269847 -28.269847
#> LO-REDUCTION    4172 -28.269847 -28.269847
#> EXTENSION       4174 -28.269847 -28.269847
#> LO-REDUCTION    4176 -28.269847 -28.269847
#> EXTENSION       4178 -28.269847 -28.269847
#> LO-REDUCTION    4180 -28.269847 -28.269847
#> EXTENSION       4182 -28.269847 -28.269847
#> LO-REDUCTION    4184 -28.269847 -28.269847
#> LO-REDUCTION    4186 -28.269847 -28.269847
#> EXTENSION       4188 -28.269847 -28.269847
#> LO-REDUCTION    4190 -28.269847 -28.269847
#> LO-REDUCTION    4192 -28.269847 -28.269847
#> LO-REDUCTION    4194 -28.269847 -28.269847
#> EXTENSION       4196 -28.269847 -28.269847
#> LO-REDUCTION    4198 -28.269847 -28.269847
#> LO-REDUCTION    4200 -28.269847 -28.269847
#> LO-REDUCTION    4202 -28.269847 -28.269847
#> EXTENSION       4204 -28.269847 -28.269847
#> LO-REDUCTION    4206 -28.269847 -28.269847
#> LO-REDUCTION    4208 -28.269847 -28.269847
#> LO-REDUCTION    4210 -28.269847 -28.269847
#> REFLECTION      4212 -28.269847 -28.269847
#> EXTENSION       4214 -28.269847 -28.269847
#> LO-REDUCTION    4216 -28.269847 -28.269847
#> LO-REDUCTION    4218 -28.269847 -28.269847
#> LO-REDUCTION    4220 -28.269847 -28.269847
#> EXTENSION       4222 -28.269847 -28.269847
#> EXTENSION       4224 -28.269847 -28.269847
#> LO-REDUCTION    4226 -28.269847 -28.269847
#> LO-REDUCTION    4228 -28.269847 -28.269847
#> LO-REDUCTION    4230 -28.269847 -28.269847
#> LO-REDUCTION    4232 -28.269847 -28.269847
#> EXTENSION       4234 -28.269847 -28.269847
#> LO-REDUCTION    4236 -28.269847 -28.269847
#> LO-REDUCTION    4238 -28.269847 -28.269847
#> LO-REDUCTION    4240 -28.269847 -28.269847
#> LO-REDUCTION    4242 -28.269847 -28.269847
#> LO-REDUCTION    4244 -28.269847 -28.269847
#> LO-REDUCTION    4246 -28.269847 -28.269847
#> LO-REDUCTION    4248 -28.269847 -28.269847
#> LO-REDUCTION    4250 -28.269847 -28.269847
#> REFLECTION      4252 -28.269847 -28.269847
#> EXTENSION       4254 -28.269847 -28.269847
#> LO-REDUCTION    4256 -28.269847 -28.269847
#> LO-REDUCTION    4258 -28.269847 -28.269847
#> REFLECTION      4260 -28.269847 -28.269847
#> EXTENSION       4262 -28.269847 -28.269847
#> EXTENSION       4264 -28.269847 -28.269847
#> EXTENSION       4266 -28.269847 -28.269847
#> LO-REDUCTION    4268 -28.269847 -28.269847
#> LO-REDUCTION    4270 -28.269847 -28.269847
#> EXTENSION       4272 -28.269847 -28.269848
#> LO-REDUCTION    4274 -28.269847 -28.269848
#> EXTENSION       4276 -28.269847 -28.269848
#> REFLECTION      4278 -28.269847 -28.269848
#> LO-REDUCTION    4280 -28.269847 -28.269848
#> REFLECTION      4282 -28.269847 -28.269848
#> EXTENSION       4284 -28.269847 -28.269848
#> EXTENSION       4286 -28.269847 -28.269848
#> LO-REDUCTION    4288 -28.269847 -28.269848
#> LO-REDUCTION    4290 -28.269847 -28.269848
#> HI-REDUCTION    4292 -28.269847 -28.269848
#> LO-REDUCTION    4294 -28.269848 -28.269848
#> LO-REDUCTION    4296 -28.269848 -28.269848
#> LO-REDUCTION    4298 -28.269848 -28.269848
#> LO-REDUCTION    4300 -28.269848 -28.269848
#> REFLECTION      4302 -28.269848 -28.269848
#> LO-REDUCTION    4304 -28.269848 -28.269848
#> EXTENSION       4306 -28.269848 -28.269848
#> EXTENSION       4308 -28.269848 -28.269848
#> EXTENSION       4310 -28.269848 -28.269848
#> LO-REDUCTION    4312 -28.269848 -28.269848
#> EXTENSION       4314 -28.269848 -28.269848
#> EXTENSION       4316 -28.269848 -28.269848
#> LO-REDUCTION    4318 -28.269848 -28.269848
#> LO-REDUCTION    4320 -28.269848 -28.269848
#> LO-REDUCTION    4322 -28.269848 -28.269848
#> LO-REDUCTION    4324 -28.269848 -28.269848
#> LO-REDUCTION    4326 -28.269848 -28.269848
#> REFLECTION      4328 -28.269848 -28.269848
#> EXTENSION       4330 -28.269848 -28.269848
#> LO-REDUCTION    4332 -28.269848 -28.269848
#> LO-REDUCTION    4334 -28.269848 -28.269848
#> EXTENSION       4336 -28.269848 -28.269848
#> LO-REDUCTION    4338 -28.269848 -28.269848
#> LO-REDUCTION    4340 -28.269848 -28.269848
#> LO-REDUCTION    4342 -28.269848 -28.269848
#> EXTENSION       4344 -28.269848 -28.269848
#> LO-REDUCTION    4346 -28.269848 -28.269848
#> LO-REDUCTION    4348 -28.269848 -28.269848
#> HI-REDUCTION    4350 -28.269848 -28.269848
#> LO-REDUCTION    4352 -28.269848 -28.269848
#> EXTENSION       4354 -28.269848 -28.269848
#> LO-REDUCTION    4356 -28.269848 -28.269848
#> LO-REDUCTION    4358 -28.269848 -28.269848
#> LO-REDUCTION    4360 -28.269848 -28.269848
#> LO-REDUCTION    4362 -28.269848 -28.269848
#> LO-REDUCTION    4364 -28.269848 -28.269848
#> LO-REDUCTION    4366 -28.269848 -28.269848
#> LO-REDUCTION    4368 -28.269848 -28.269848
#> REFLECTION      4370 -28.269848 -28.269848
#> EXTENSION       4372 -28.269848 -28.269848
#> LO-REDUCTION    4374 -28.269848 -28.269848
#> EXTENSION       4376 -28.269848 -28.269848
#> EXTENSION       4378 -28.269848 -28.269848
#> LO-REDUCTION    4380 -28.269848 -28.269848
#> LO-REDUCTION    4382 -28.269848 -28.269848
#> LO-REDUCTION    4384 -28.269848 -28.269848
#> LO-REDUCTION    4386 -28.269848 -28.269848
#> EXTENSION       4388 -28.269848 -28.269848
#> LO-REDUCTION    4390 -28.269848 -28.269848
#> LO-REDUCTION    4392 -28.269848 -28.269848
#> LO-REDUCTION    4394 -28.269848 -28.269848
#> LO-REDUCTION    4396 -28.269848 -28.269848
#> LO-REDUCTION    4398 -28.269848 -28.269848
#> LO-REDUCTION    4400 -28.269848 -28.269848
#> LO-REDUCTION    4402 -28.269848 -28.269848
#> LO-REDUCTION    4404 -28.269848 -28.269848
#> Exiting from Nelder Mead minimizer
#>     4406 function evaluations used
#> $converge
#> [1] "Model converged successfully"
#> 
#> $logL
#> [1] 28.26985
#> 
#> $AICc
#> [1] -2.539696
#> 
#> $ancestral.values
#> [1]  0.074909846 -0.009647408
#> 
#> $SE.anc
#> [1] NA
#> 
#> $optima
#> [1] 3.078344 2.008905
#> 
#> $SE.optima
#> [1] NA
#> 
#> $A
#>           [,1]     [,2]
#> [1,]  5.985338  0.00000
#> [2,] -3.385831 11.91161
#> 
#> $SE.A
#> [1] NA
#> 
#> $half.life
#> [1] 0.11580752 0.05819091
#> 
#> $R
#>              [,1]       [,2]
#> [1,] 1.365565e-06 0.00000000
#> [2,] 0.000000e+00 0.09576685
#> 
#> $SE.R
#> [1] NA
#> 
#> $method
#> [1] "Joint"
#> 
#> $K
#> [1] 9
#> 
#> $n
#> [1] 15
#> 
#> $iter
#> [1] NA
#> 
#> attr(,"class")
#> [1] "paleoTSfit"
# }