Fit user-defined multivariate Ornstein-Uhlenbeck models to multivariate evolutionary sequence (time-series) data.
Source:R/fit.multivariate.OU.user.defined.R
fit.multivariate.OU.user.defined.RdFunction 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).
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 = -1.584247
#> Scaled convergence tolerance is 2.36071e-08
#> Stepsize computed as 0.711067
#> BUILD 10 27.768149 -1.881693
#> HI-REDUCTION 12 26.985764 -1.881693
#> HI-REDUCTION 14 6.656418 -1.881693
#> HI-REDUCTION 16 6.297305 -1.881693
#> HI-REDUCTION 18 5.336953 -1.881693
#> LO-REDUCTION 20 3.926511 -1.881693
#> REFLECTION 22 1.459511 -5.253073
#> LO-REDUCTION 24 1.457632 -5.253073
#> EXTENSION 26 1.256076 -8.391479
#> LO-REDUCTION 28 0.963875 -8.391479
#> LO-REDUCTION 30 -0.430382 -8.391479
#> LO-REDUCTION 32 -1.266350 -8.391479
#> LO-REDUCTION 34 -1.575314 -8.391479
#> LO-REDUCTION 36 -1.584247 -8.391479
#> LO-REDUCTION 38 -1.699586 -8.391479
#> EXTENSION 40 -1.881693 -9.850397
#> LO-REDUCTION 42 -3.683558 -9.850397
#> LO-REDUCTION 44 -4.372735 -9.850397
#> LO-REDUCTION 46 -4.464468 -9.850397
#> LO-REDUCTION 48 -5.253073 -9.850397
#> REFLECTION 50 -6.707904 -10.153503
#> LO-REDUCTION 52 -7.363139 -10.313882
#> LO-REDUCTION 54 -8.072226 -10.623576
#> REFLECTION 56 -8.391479 -11.758780
#> HI-REDUCTION 58 -9.045153 -11.758780
#> LO-REDUCTION 60 -9.136649 -11.758780
#> EXTENSION 62 -9.196220 -16.403440
#> HI-REDUCTION 64 -9.404499 -16.403440
#> HI-REDUCTION 66 -9.817051 -16.403440
#> LO-REDUCTION 68 -9.850397 -16.403440
#> LO-REDUCTION 70 -10.153503 -16.403440
#> HI-REDUCTION 72 -10.313882 -16.403440
#> LO-REDUCTION 74 -10.552359 -16.403440
#> LO-REDUCTION 76 -10.623576 -16.403440
#> LO-REDUCTION 78 -10.776189 -16.403440
#> LO-REDUCTION 80 -10.823166 -16.403440
#> HI-REDUCTION 82 -11.636439 -16.403440
#> LO-REDUCTION 84 -11.754789 -16.403440
#> LO-REDUCTION 86 -11.758780 -16.403440
#> REFLECTION 88 -12.397539 -17.170281
#> REFLECTION 90 -12.752619 -18.103127
#> LO-REDUCTION 92 -12.921626 -18.103127
#> LO-REDUCTION 94 -14.017311 -18.103127
#> LO-REDUCTION 96 -14.787596 -18.103127
#> LO-REDUCTION 98 -15.663553 -18.103127
#> LO-REDUCTION 100 -15.923840 -18.103127
#> LO-REDUCTION 102 -16.215640 -18.103127
#> LO-REDUCTION 104 -16.403440 -18.103127
#> LO-REDUCTION 106 -17.170281 -18.356133
#> LO-REDUCTION 108 -17.554775 -18.356133
#> REFLECTION 110 -17.706785 -18.581166
#> LO-REDUCTION 112 -17.775690 -18.581166
#> LO-REDUCTION 114 -17.847404 -18.581166
#> REFLECTION 116 -17.926953 -18.588121
#> REFLECTION 118 -18.030354 -18.735841
#> REFLECTION 120 -18.071370 -18.747704
#> LO-REDUCTION 122 -18.103127 -18.747704
#> HI-REDUCTION 124 -18.145518 -18.747704
#> REFLECTION 126 -18.356133 -18.822574
#> HI-REDUCTION 128 -18.369223 -18.822574
#> LO-REDUCTION 130 -18.527530 -18.854644
#> HI-REDUCTION 132 -18.581166 -18.854644
#> HI-REDUCTION 134 -18.588121 -18.854644
#> REFLECTION 136 -18.609408 -18.921863
#> REFLECTION 138 -18.656342 -18.956537
#> HI-REDUCTION 140 -18.735841 -18.956537
#> LO-REDUCTION 142 -18.742396 -18.956537
#> REFLECTION 144 -18.747704 -18.995380
#> LO-REDUCTION 146 -18.754505 -18.995380
#> REFLECTION 148 -18.755852 -19.048934
#> LO-REDUCTION 150 -18.816575 -19.048934
#> REFLECTION 152 -18.822574 -19.058754
#> REFLECTION 154 -18.854644 -19.059028
#> REFLECTION 156 -18.891907 -19.117113
#> REFLECTION 158 -18.921863 -19.145697
#> LO-REDUCTION 160 -18.935028 -19.145697
#> REFLECTION 162 -18.956537 -19.185314
#> REFLECTION 164 -18.995380 -19.209470
#> EXTENSION 166 -19.044481 -19.308791
#> LO-REDUCTION 168 -19.048934 -19.308791
#> LO-REDUCTION 170 -19.058754 -19.308791
#> LO-REDUCTION 172 -19.059028 -19.308791
#> LO-REDUCTION 174 -19.095236 -19.308791
#> EXTENSION 176 -19.117113 -19.397606
#> LO-REDUCTION 178 -19.145697 -19.397606
#> EXTENSION 180 -19.185314 -19.488405
#> EXTENSION 182 -19.209470 -19.593911
#> EXTENSION 184 -19.235136 -19.702457
#> LO-REDUCTION 186 -19.248720 -19.702457
#> LO-REDUCTION 188 -19.269037 -19.702457
#> LO-REDUCTION 190 -19.290621 -19.702457
#> EXTENSION 192 -19.308791 -19.750350
#> EXTENSION 194 -19.369162 -19.820063
#> REFLECTION 196 -19.397606 -19.858396
#> LO-REDUCTION 198 -19.488405 -19.858396
#> EXTENSION 200 -19.512455 -19.985239
#> REFLECTION 202 -19.523570 -20.058529
#> EXTENSION 204 -19.562925 -20.230608
#> EXTENSION 206 -19.593911 -20.387526
#> LO-REDUCTION 208 -19.702457 -20.387526
#> HI-REDUCTION 210 -19.750350 -20.387526
#> LO-REDUCTION 212 -19.820063 -20.387526
#> LO-REDUCTION 214 -19.857376 -20.387526
#> EXTENSION 216 -19.858396 -20.555859
#> LO-REDUCTION 218 -19.985239 -20.555859
#> LO-REDUCTION 220 -20.058529 -20.555859
#> LO-REDUCTION 222 -20.063059 -20.555859
#> HI-REDUCTION 224 -20.186202 -20.555859
#> LO-REDUCTION 226 -20.230608 -20.555859
#> LO-REDUCTION 228 -20.296486 -20.555859
#> LO-REDUCTION 230 -20.309999 -20.555859
#> REFLECTION 232 -20.343085 -20.592442
#> HI-REDUCTION 234 -20.387526 -20.592442
#> LO-REDUCTION 236 -20.407479 -20.592442
#> LO-REDUCTION 238 -20.431657 -20.592442
#> LO-REDUCTION 240 -20.480695 -20.592442
#> LO-REDUCTION 242 -20.483835 -20.592442
#> LO-REDUCTION 244 -20.489484 -20.592442
#> LO-REDUCTION 246 -20.501764 -20.594881
#> LO-REDUCTION 248 -20.545058 -20.594881
#> LO-REDUCTION 250 -20.555076 -20.594881
#> REFLECTION 252 -20.555859 -20.598419
#> REFLECTION 254 -20.562803 -20.619840
#> LO-REDUCTION 256 -20.566257 -20.619840
#> EXTENSION 258 -20.580177 -20.658619
#> LO-REDUCTION 260 -20.587913 -20.658619
#> LO-REDUCTION 262 -20.588158 -20.658619
#> EXTENSION 264 -20.592442 -20.697928
#> LO-REDUCTION 266 -20.593074 -20.697928
#> LO-REDUCTION 268 -20.594881 -20.697928
#> LO-REDUCTION 270 -20.598419 -20.697928
#> EXTENSION 272 -20.612675 -20.739424
#> LO-REDUCTION 274 -20.619840 -20.739424
#> EXTENSION 276 -20.636757 -20.793423
#> LO-REDUCTION 278 -20.637070 -20.793423
#> LO-REDUCTION 280 -20.637114 -20.793423
#> LO-REDUCTION 282 -20.658619 -20.793423
#> LO-REDUCTION 284 -20.658817 -20.793423
#> LO-REDUCTION 286 -20.664056 -20.793423
#> EXTENSION 288 -20.697928 -20.872884
#> LO-REDUCTION 290 -20.704923 -20.872884
#> LO-REDUCTION 292 -20.728221 -20.872884
#> LO-REDUCTION 294 -20.730868 -20.872884
#> LO-REDUCTION 296 -20.735216 -20.872884
#> LO-REDUCTION 298 -20.739424 -20.872884
#> EXTENSION 300 -20.759477 -21.010822
#> LO-REDUCTION 302 -20.788430 -21.010822
#> LO-REDUCTION 304 -20.793423 -21.010822
#> LO-REDUCTION 306 -20.809855 -21.010822
#> LO-REDUCTION 308 -20.830930 -21.010822
#> EXTENSION 310 -20.860499 -21.126502
#> LO-REDUCTION 312 -20.861282 -21.126502
#> LO-REDUCTION 314 -20.870686 -21.126502
#> EXTENSION 316 -20.872884 -21.222776
#> LO-REDUCTION 318 -20.961607 -21.222776
#> EXTENSION 320 -20.967891 -21.358841
#> LO-REDUCTION 322 -20.968250 -21.358841
#> LO-REDUCTION 324 -20.997582 -21.358841
#> EXTENSION 326 -21.010822 -21.405771
#> LO-REDUCTION 328 -21.059512 -21.405771
#> REFLECTION 330 -21.108415 -21.482171
#> LO-REDUCTION 332 -21.126502 -21.482171
#> LO-REDUCTION 334 -21.175024 -21.482171
#> EXTENSION 336 -21.222776 -21.601087
#> LO-REDUCTION 338 -21.260617 -21.601087
#> LO-REDUCTION 340 -21.316841 -21.601087
#> LO-REDUCTION 342 -21.358841 -21.601087
#> HI-REDUCTION 344 -21.398960 -21.601087
#> HI-REDUCTION 346 -21.405771 -21.601087
#> EXTENSION 348 -21.418928 -21.622568
#> REFLECTION 350 -21.429394 -21.642187
#> REFLECTION 352 -21.482171 -21.663404
#> LO-REDUCTION 354 -21.484989 -21.663404
#> LO-REDUCTION 356 -21.497118 -21.663404
#> REFLECTION 358 -21.521543 -21.704550
#> LO-REDUCTION 360 -21.539596 -21.704550
#> REFLECTION 362 -21.590071 -21.750410
#> HI-REDUCTION 364 -21.601087 -21.750410
#> EXTENSION 366 -21.622568 -21.772368
#> HI-REDUCTION 368 -21.642187 -21.772368
#> LO-REDUCTION 370 -21.656131 -21.772368
#> EXTENSION 372 -21.658049 -21.801258
#> EXTENSION 374 -21.663404 -21.903857
#> LO-REDUCTION 376 -21.674838 -21.903857
#> LO-REDUCTION 378 -21.690020 -21.903857
#> LO-REDUCTION 380 -21.693852 -21.903857
#> EXTENSION 382 -21.704550 -21.964196
#> LO-REDUCTION 384 -21.735615 -21.964196
#> EXTENSION 386 -21.750410 -22.099317
#> LO-REDUCTION 388 -21.772368 -22.099317
#> LO-REDUCTION 390 -21.801258 -22.099317
#> LO-REDUCTION 392 -21.833009 -22.099317
#> EXTENSION 394 -21.863488 -22.156092
#> LO-REDUCTION 396 -21.870869 -22.156092
#> EXTENSION 398 -21.903857 -22.403699
#> LO-REDUCTION 400 -21.916520 -22.403699
#> LO-REDUCTION 402 -21.964196 -22.403699
#> LO-REDUCTION 404 -21.987446 -22.403699
#> LO-REDUCTION 406 -22.005441 -22.403699
#> LO-REDUCTION 408 -22.057076 -22.403699
#> LO-REDUCTION 410 -22.099317 -22.403699
#> EXTENSION 412 -22.118957 -22.474630
#> EXTENSION 414 -22.156092 -22.648154
#> LO-REDUCTION 416 -22.212507 -22.648154
#> LO-REDUCTION 418 -22.244843 -22.648154
#> EXTENSION 420 -22.281073 -22.830332
#> LO-REDUCTION 422 -22.335748 -22.830332
#> EXTENSION 424 -22.360347 -22.980014
#> LO-REDUCTION 426 -22.397249 -22.980014
#> LO-REDUCTION 428 -22.403699 -22.980014
#> LO-REDUCTION 430 -22.474630 -22.980014
#> EXTENSION 432 -22.544618 -23.313129
#> LO-REDUCTION 434 -22.576267 -23.313129
#> LO-REDUCTION 436 -22.648154 -23.313129
#> LO-REDUCTION 438 -22.720612 -23.313129
#> LO-REDUCTION 440 -22.753530 -23.313129
#> EXTENSION 442 -22.778393 -23.453971
#> LO-REDUCTION 444 -22.830332 -23.453971
#> LO-REDUCTION 446 -22.905384 -23.453971
#> REFLECTION 448 -22.980014 -23.505794
#> EXTENSION 450 -23.071959 -23.575378
#> LO-REDUCTION 452 -23.144080 -23.575378
#> REFLECTION 454 -23.165287 -23.583603
#> REFLECTION 456 -23.281903 -23.694312
#> LO-REDUCTION 458 -23.313129 -23.694312
#> LO-REDUCTION 460 -23.383625 -23.694312
#> REFLECTION 462 -23.393002 -23.712912
#> LO-REDUCTION 464 -23.453971 -23.712912
#> HI-REDUCTION 466 -23.464611 -23.712912
#> LO-REDUCTION 468 -23.505794 -23.713572
#> LO-REDUCTION 470 -23.574666 -23.713572
#> EXTENSION 472 -23.575378 -23.797529
#> HI-REDUCTION 474 -23.583603 -23.797529
#> EXTENSION 476 -23.603067 -23.871105
#> LO-REDUCTION 478 -23.653550 -23.871105
#> LO-REDUCTION 480 -23.656741 -23.871105
#> LO-REDUCTION 482 -23.688499 -23.871105
#> LO-REDUCTION 484 -23.694312 -23.871105
#> LO-REDUCTION 486 -23.704486 -23.871105
#> LO-REDUCTION 488 -23.712912 -23.871105
#> EXTENSION 490 -23.713572 -24.073146
#> LO-REDUCTION 492 -23.782378 -24.073146
#> LO-REDUCTION 494 -23.795488 -24.073146
#> LO-REDUCTION 496 -23.797529 -24.073146
#> LO-REDUCTION 498 -23.802214 -24.073146
#> LO-REDUCTION 500 -23.860194 -24.073146
#> LO-REDUCTION 502 -23.864729 -24.073146
#> LO-REDUCTION 504 -23.865731 -24.073146
#> LO-REDUCTION 506 -23.871105 -24.073146
#> EXTENSION 508 -23.914925 -24.191491
#> LO-REDUCTION 510 -23.917946 -24.191491
#> LO-REDUCTION 512 -23.949974 -24.191491
#> LO-REDUCTION 514 -23.950206 -24.191491
#> EXTENSION 516 -24.002106 -24.329566
#> LO-REDUCTION 518 -24.005982 -24.329566
#> EXTENSION 520 -24.026211 -24.462416
#> LO-REDUCTION 522 -24.047452 -24.462416
#> LO-REDUCTION 524 -24.073146 -24.462416
#> EXTENSION 526 -24.130803 -24.670298
#> LO-REDUCTION 528 -24.158559 -24.670298
#> LO-REDUCTION 530 -24.186603 -24.670298
#> LO-REDUCTION 532 -24.191491 -24.670298
#> EXTENSION 534 -24.252184 -24.686889
#> EXTENSION 536 -24.329566 -25.029460
#> LO-REDUCTION 538 -24.381155 -25.029460
#> LO-REDUCTION 540 -24.417002 -25.029460
#> EXTENSION 542 -24.462416 -25.168455
#> LO-REDUCTION 544 -24.561379 -25.168455
#> LO-REDUCTION 546 -24.582610 -25.168455
#> LO-REDUCTION 548 -24.631117 -25.168455
#> EXTENSION 550 -24.670298 -25.216699
#> LO-REDUCTION 552 -24.686889 -25.216699
#> REFLECTION 554 -24.925945 -25.331139
#> LO-REDUCTION 556 -24.931081 -25.331139
#> LO-REDUCTION 558 -24.934481 -25.331139
#> LO-REDUCTION 560 -25.021262 -25.331139
#> EXTENSION 562 -25.029460 -25.356263
#> HI-REDUCTION 564 -25.063918 -25.356263
#> REFLECTION 566 -25.108082 -25.388904
#> EXTENSION 568 -25.118177 -25.457689
#> EXTENSION 570 -25.168455 -25.604655
#> LO-REDUCTION 572 -25.216615 -25.604655
#> LO-REDUCTION 574 -25.216699 -25.604655
#> LO-REDUCTION 576 -25.233498 -25.604655
#> LO-REDUCTION 578 -25.305455 -25.604655
#> LO-REDUCTION 580 -25.331139 -25.604655
#> HI-REDUCTION 582 -25.356263 -25.604655
#> LO-REDUCTION 584 -25.388904 -25.604655
#> LO-REDUCTION 586 -25.419141 -25.604655
#> LO-REDUCTION 588 -25.457689 -25.604655
#> LO-REDUCTION 590 -25.458235 -25.604655
#> EXTENSION 592 -25.472259 -25.641440
#> LO-REDUCTION 594 -25.488321 -25.641440
#> REFLECTION 596 -25.511061 -25.659808
#> EXTENSION 598 -25.526566 -25.708300
#> LO-REDUCTION 600 -25.580581 -25.708300
#> LO-REDUCTION 602 -25.585951 -25.708300
#> LO-REDUCTION 604 -25.585960 -25.708300
#> REFLECTION 606 -25.602658 -25.718500
#> LO-REDUCTION 608 -25.604655 -25.718500
#> HI-REDUCTION 610 -25.614464 -25.718500
#> LO-REDUCTION 612 -25.641440 -25.718500
#> LO-REDUCTION 614 -25.659808 -25.718500
#> LO-REDUCTION 616 -25.678152 -25.718500
#> HI-REDUCTION 618 -25.682017 -25.718500
#> LO-REDUCTION 620 -25.683871 -25.718500
#> LO-REDUCTION 622 -25.690980 -25.718500
#> REFLECTION 624 -25.695374 -25.719341
#> LO-REDUCTION 626 -25.697782 -25.719341
#> LO-REDUCTION 628 -25.702925 -25.719341
#> HI-REDUCTION 630 -25.708300 -25.719341
#> REFLECTION 632 -25.710385 -25.721956
#> LO-REDUCTION 634 -25.710636 -25.721956
#> LO-REDUCTION 636 -25.712575 -25.721956
#> REFLECTION 638 -25.715586 -25.723745
#> LO-REDUCTION 640 -25.715832 -25.723745
#> REFLECTION 642 -25.716344 -25.725650
#> LO-REDUCTION 644 -25.717811 -25.725650
#> LO-REDUCTION 646 -25.718500 -25.725650
#> REFLECTION 648 -25.719341 -25.726264
#> LO-REDUCTION 650 -25.721831 -25.726264
#> EXTENSION 652 -25.721846 -25.731343
#> LO-REDUCTION 654 -25.721956 -25.731343
#> LO-REDUCTION 656 -25.722060 -25.731343
#> LO-REDUCTION 658 -25.723661 -25.731343
#> LO-REDUCTION 660 -25.723745 -25.731343
#> LO-REDUCTION 662 -25.723906 -25.731343
#> LO-REDUCTION 664 -25.725128 -25.731343
#> LO-REDUCTION 666 -25.725650 -25.731343
#> LO-REDUCTION 668 -25.726264 -25.731343
#> LO-REDUCTION 670 -25.727078 -25.731343
#> REFLECTION 672 -25.727835 -25.731830
#> EXTENSION 674 -25.728509 -25.734140
#> EXTENSION 676 -25.729365 -25.736241
#> LO-REDUCTION 678 -25.729460 -25.736241
#> LO-REDUCTION 680 -25.729623 -25.736241
#> EXTENSION 682 -25.729687 -25.738391
#> EXTENSION 684 -25.731024 -25.741047
#> LO-REDUCTION 686 -25.731160 -25.741047
#> LO-REDUCTION 688 -25.731343 -25.741047
#> EXTENSION 690 -25.731830 -25.745659
#> LO-REDUCTION 692 -25.734042 -25.745659
#> LO-REDUCTION 694 -25.734140 -25.745659
#> LO-REDUCTION 696 -25.734572 -25.745659
#> LO-REDUCTION 698 -25.736241 -25.745659
#> REFLECTION 700 -25.736735 -25.746012
#> EXTENSION 702 -25.738391 -25.748266
#> LO-REDUCTION 704 -25.738888 -25.748266
#> EXTENSION 706 -25.741047 -25.754614
#> LO-REDUCTION 708 -25.743403 -25.754614
#> LO-REDUCTION 710 -25.743689 -25.754614
#> EXTENSION 712 -25.744708 -25.757801
#> LO-REDUCTION 714 -25.744926 -25.757801
#> LO-REDUCTION 716 -25.745659 -25.757801
#> LO-REDUCTION 718 -25.746012 -25.757801
#> REFLECTION 720 -25.746776 -25.758041
#> REFLECTION 722 -25.748266 -25.758135
#> REFLECTION 724 -25.752878 -25.759592
#> LO-REDUCTION 726 -25.753859 -25.759592
#> EXTENSION 728 -25.753889 -25.762566
#> LO-REDUCTION 730 -25.753913 -25.762566
#> LO-REDUCTION 732 -25.754614 -25.762566
#> LO-REDUCTION 734 -25.754646 -25.762566
#> EXTENSION 736 -25.757801 -25.768963
#> LO-REDUCTION 738 -25.758041 -25.768963
#> LO-REDUCTION 740 -25.758135 -25.768963
#> LO-REDUCTION 742 -25.759340 -25.768963
#> LO-REDUCTION 744 -25.759376 -25.768963
#> LO-REDUCTION 746 -25.759530 -25.768963
#> LO-REDUCTION 748 -25.759592 -25.768963
#> EXTENSION 750 -25.762317 -25.772966
#> LO-REDUCTION 752 -25.762566 -25.772966
#> LO-REDUCTION 754 -25.762589 -25.772966
#> EXTENSION 756 -25.763952 -25.779916
#> LO-REDUCTION 758 -25.764787 -25.779916
#> LO-REDUCTION 760 -25.767110 -25.779916
#> LO-REDUCTION 762 -25.767244 -25.779916
#> LO-REDUCTION 764 -25.768481 -25.779916
#> LO-REDUCTION 766 -25.768963 -25.779916
#> EXTENSION 768 -25.769415 -25.783349
#> LO-REDUCTION 770 -25.770511 -25.783349
#> EXTENSION 772 -25.772966 -25.783939
#> LO-REDUCTION 774 -25.775268 -25.783939
#> EXTENSION 776 -25.775867 -25.792762
#> LO-REDUCTION 778 -25.776985 -25.792762
#> LO-REDUCTION 780 -25.777456 -25.792762
#> LO-REDUCTION 782 -25.777709 -25.792762
#> EXTENSION 784 -25.779233 -25.798172
#> LO-REDUCTION 786 -25.779916 -25.798172
#> LO-REDUCTION 788 -25.783349 -25.798172
#> LO-REDUCTION 790 -25.783889 -25.798172
#> LO-REDUCTION 792 -25.783939 -25.798172
#> EXTENSION 794 -25.785308 -25.807638
#> LO-REDUCTION 796 -25.787236 -25.807638
#> LO-REDUCTION 798 -25.787358 -25.807638
#> LO-REDUCTION 800 -25.789882 -25.807638
#> LO-REDUCTION 802 -25.792150 -25.807638
#> LO-REDUCTION 804 -25.792762 -25.807638
#> LO-REDUCTION 806 -25.792783 -25.807638
#> EXTENSION 808 -25.793785 -25.822967
#> LO-REDUCTION 810 -25.798172 -25.822967
#> LO-REDUCTION 812 -25.800220 -25.822967
#> LO-REDUCTION 814 -25.803178 -25.822967
#> EXTENSION 816 -25.803869 -25.831145
#> LO-REDUCTION 818 -25.806523 -25.831145
#> EXTENSION 820 -25.806610 -25.840142
#> LO-REDUCTION 822 -25.807029 -25.840142
#> LO-REDUCTION 824 -25.807638 -25.840142
#> EXTENSION 826 -25.820410 -25.868027
#> LO-REDUCTION 828 -25.820637 -25.868027
#> LO-REDUCTION 830 -25.821905 -25.868027
#> LO-REDUCTION 832 -25.822967 -25.868027
#> EXTENSION 834 -25.829904 -25.884032
#> LO-REDUCTION 836 -25.831145 -25.884032
#> LO-REDUCTION 838 -25.836990 -25.884032
#> LO-REDUCTION 840 -25.838584 -25.884032
#> EXTENSION 842 -25.840142 -25.898028
#> LO-REDUCTION 844 -25.849106 -25.898028
#> EXTENSION 846 -25.856728 -25.923740
#> LO-REDUCTION 848 -25.861572 -25.923740
#> LO-REDUCTION 850 -25.868027 -25.923740
#> LO-REDUCTION 852 -25.868662 -25.923740
#> EXTENSION 854 -25.879187 -25.956589
#> LO-REDUCTION 856 -25.881437 -25.956589
#> LO-REDUCTION 858 -25.884032 -25.956589
#> LO-REDUCTION 860 -25.897881 -25.956589
#> LO-REDUCTION 862 -25.898028 -25.956589
#> LO-REDUCTION 864 -25.909807 -25.956589
#> LO-REDUCTION 866 -25.914053 -25.956589
#> LO-REDUCTION 868 -25.916668 -25.956589
#> LO-REDUCTION 870 -25.923740 -25.956589
#> LO-REDUCTION 872 -25.926900 -25.956589
#> EXTENSION 874 -25.931332 -25.976351
#> LO-REDUCTION 876 -25.933577 -25.976351
#> EXTENSION 878 -25.937742 -25.996029
#> LO-REDUCTION 880 -25.941639 -25.996029
#> LO-REDUCTION 882 -25.948758 -25.996029
#> LO-REDUCTION 884 -25.949113 -25.996029
#> LO-REDUCTION 886 -25.950002 -25.996029
#> EXTENSION 888 -25.951557 -26.025780
#> LO-REDUCTION 890 -25.956589 -26.025780
#> LO-REDUCTION 892 -25.966672 -26.025780
#> LO-REDUCTION 894 -25.966886 -26.025780
#> EXTENSION 896 -25.975179 -26.053447
#> LO-REDUCTION 898 -25.976351 -26.053447
#> LO-REDUCTION 900 -25.985429 -26.053447
#> EXTENSION 902 -25.995486 -26.082903
#> LO-REDUCTION 904 -25.996029 -26.082903
#> LO-REDUCTION 906 -26.003136 -26.082903
#> EXTENSION 908 -26.013429 -26.099648
#> EXTENSION 910 -26.021233 -26.129264
#> LO-REDUCTION 912 -26.025780 -26.129264
#> LO-REDUCTION 914 -26.037199 -26.129264
#> REFLECTION 916 -26.049016 -26.130729
#> LO-REDUCTION 918 -26.053447 -26.130729
#> EXTENSION 920 -26.069454 -26.161393
#> LO-REDUCTION 922 -26.082710 -26.161393
#> LO-REDUCTION 924 -26.082903 -26.161393
#> LO-REDUCTION 926 -26.099648 -26.161393
#> LO-REDUCTION 928 -26.112415 -26.161393
#> REFLECTION 930 -26.119703 -26.163867
#> EXTENSION 932 -26.124913 -26.181284
#> LO-REDUCTION 934 -26.129264 -26.181284
#> LO-REDUCTION 936 -26.130729 -26.181284
#> LO-REDUCTION 938 -26.144759 -26.181284
#> LO-REDUCTION 940 -26.148119 -26.181284
#> LO-REDUCTION 942 -26.150641 -26.181284
#> LO-REDUCTION 944 -26.151220 -26.181284
#> REFLECTION 946 -26.161393 -26.184373
#> HI-REDUCTION 948 -26.163867 -26.184373
#> LO-REDUCTION 950 -26.165246 -26.184373
#> LO-REDUCTION 952 -26.166219 -26.184373
#> EXTENSION 954 -26.168211 -26.196730
#> LO-REDUCTION 956 -26.175027 -26.196730
#> LO-REDUCTION 958 -26.175546 -26.196730
#> LO-REDUCTION 960 -26.177064 -26.196730
#> LO-REDUCTION 962 -26.177754 -26.196730
#> LO-REDUCTION 964 -26.178771 -26.196730
#> LO-REDUCTION 966 -26.181284 -26.196730
#> HI-REDUCTION 968 -26.181541 -26.196730
#> LO-REDUCTION 970 -26.184311 -26.196730
#> LO-REDUCTION 972 -26.184373 -26.196730
#> LO-REDUCTION 974 -26.185200 -26.196730
#> LO-REDUCTION 976 -26.188327 -26.196730
#> LO-REDUCTION 978 -26.188634 -26.196730
#> LO-REDUCTION 980 -26.189438 -26.196730
#> LO-REDUCTION 982 -26.190177 -26.196730
#> REFLECTION 984 -26.191652 -26.197839
#> EXTENSION 986 -26.192083 -26.202613
#> EXTENSION 988 -26.193761 -26.207200
#> LO-REDUCTION 990 -26.194436 -26.207200
#> LO-REDUCTION 992 -26.194796 -26.207200
#> LO-REDUCTION 994 -26.195790 -26.207200
#> LO-REDUCTION 996 -26.196568 -26.207200
#> EXTENSION 998 -26.196660 -26.208830
#> LO-REDUCTION 1000 -26.196730 -26.208830
#> REFLECTION 1002 -26.197839 -26.211339
#> EXTENSION 1004 -26.202613 -26.220073
#> LO-REDUCTION 1006 -26.203204 -26.220073
#> LO-REDUCTION 1008 -26.204461 -26.220073
#> LO-REDUCTION 1010 -26.204698 -26.220073
#> LO-REDUCTION 1012 -26.207013 -26.220073
#> LO-REDUCTION 1014 -26.207200 -26.220073
#> REFLECTION 1016 -26.207969 -26.221507
#> LO-REDUCTION 1018 -26.208830 -26.221507
#> REFLECTION 1020 -26.211339 -26.223891
#> LO-REDUCTION 1022 -26.215270 -26.223891
#> LO-REDUCTION 1024 -26.215383 -26.223891
#> EXTENSION 1026 -26.216133 -26.231192
#> LO-REDUCTION 1028 -26.218300 -26.231192
#> LO-REDUCTION 1030 -26.218480 -26.231192
#> LO-REDUCTION 1032 -26.219359 -26.231192
#> LO-REDUCTION 1034 -26.220073 -26.231192
#> LO-REDUCTION 1036 -26.220955 -26.231192
#> LO-REDUCTION 1038 -26.221507 -26.231192
#> EXTENSION 1040 -26.223030 -26.237880
#> LO-REDUCTION 1042 -26.223891 -26.237880
#> LO-REDUCTION 1044 -26.224142 -26.237880
#> EXTENSION 1046 -26.225423 -26.245218
#> LO-REDUCTION 1048 -26.227734 -26.245218
#> LO-REDUCTION 1050 -26.228822 -26.245218
#> LO-REDUCTION 1052 -26.229343 -26.245218
#> EXTENSION 1054 -26.230782 -26.253918
#> LO-REDUCTION 1056 -26.231192 -26.253918
#> LO-REDUCTION 1058 -26.235308 -26.253918
#> LO-REDUCTION 1060 -26.236317 -26.253918
#> EXTENSION 1062 -26.237880 -26.259448
#> LO-REDUCTION 1064 -26.242343 -26.259448
#> LO-REDUCTION 1066 -26.242589 -26.259448
#> LO-REDUCTION 1068 -26.243606 -26.259448
#> EXTENSION 1070 -26.245218 -26.268702
#> LO-REDUCTION 1072 -26.248796 -26.268702
#> LO-REDUCTION 1074 -26.251697 -26.268702
#> LO-REDUCTION 1076 -26.253224 -26.268702
#> LO-REDUCTION 1078 -26.253918 -26.268702
#> LO-REDUCTION 1080 -26.257072 -26.268702
#> LO-REDUCTION 1082 -26.257729 -26.268702
#> LO-REDUCTION 1084 -26.258941 -26.268702
#> LO-REDUCTION 1086 -26.259448 -26.268702
#> LO-REDUCTION 1088 -26.264106 -26.268702
#> EXTENSION 1090 -26.264966 -26.270151
#> LO-REDUCTION 1092 -26.265696 -26.270151
#> REFLECTION 1094 -26.266058 -26.270500
#> LO-REDUCTION 1096 -26.266506 -26.270500
#> LO-REDUCTION 1098 -26.267333 -26.270500
#> REFLECTION 1100 -26.267671 -26.270780
#> EXTENSION 1102 -26.268054 -26.274682
#> LO-REDUCTION 1104 -26.268691 -26.274682
#> LO-REDUCTION 1106 -26.268702 -26.274682
#> LO-REDUCTION 1108 -26.268824 -26.274682
#> LO-REDUCTION 1110 -26.269602 -26.274682
#> LO-REDUCTION 1112 -26.270117 -26.274682
#> LO-REDUCTION 1114 -26.270151 -26.274682
#> LO-REDUCTION 1116 -26.270500 -26.274682
#> LO-REDUCTION 1118 -26.270780 -26.274682
#> LO-REDUCTION 1120 -26.271721 -26.274682
#> EXTENSION 1122 -26.272075 -26.275258
#> LO-REDUCTION 1124 -26.272141 -26.275258
#> EXTENSION 1126 -26.272653 -26.277260
#> LO-REDUCTION 1128 -26.272974 -26.277260
#> LO-REDUCTION 1130 -26.273319 -26.277260
#> LO-REDUCTION 1132 -26.273335 -26.277260
#> LO-REDUCTION 1134 -26.273691 -26.277260
#> LO-REDUCTION 1136 -26.273745 -26.277260
#> LO-REDUCTION 1138 -26.274453 -26.277260
#> LO-REDUCTION 1140 -26.274682 -26.277260
#> LO-REDUCTION 1142 -26.275258 -26.277260
#> EXTENSION 1144 -26.275338 -26.277634
#> EXTENSION 1146 -26.275611 -26.278581
#> LO-REDUCTION 1148 -26.276040 -26.278581
#> LO-REDUCTION 1150 -26.276078 -26.278581
#> EXTENSION 1152 -26.276371 -26.280083
#> LO-REDUCTION 1154 -26.276728 -26.280083
#> LO-REDUCTION 1156 -26.276993 -26.280083
#> LO-REDUCTION 1158 -26.277189 -26.280083
#> REFLECTION 1160 -26.277260 -26.280116
#> LO-REDUCTION 1162 -26.277634 -26.280116
#> LO-REDUCTION 1164 -26.278006 -26.280116
#> REFLECTION 1166 -26.278413 -26.280385
#> LO-REDUCTION 1168 -26.278581 -26.280385
#> REFLECTION 1170 -26.279153 -26.280722
#> EXTENSION 1172 -26.279359 -26.281625
#> LO-REDUCTION 1174 -26.279440 -26.281625
#> LO-REDUCTION 1176 -26.279520 -26.281625
#> LO-REDUCTION 1178 -26.279788 -26.281625
#> EXTENSION 1180 -26.280083 -26.281917
#> LO-REDUCTION 1182 -26.280083 -26.281917
#> EXTENSION 1184 -26.280116 -26.283609
#> LO-REDUCTION 1186 -26.280385 -26.283609
#> LO-REDUCTION 1188 -26.280672 -26.283609
#> LO-REDUCTION 1190 -26.280722 -26.283609
#> EXTENSION 1192 -26.280958 -26.284244
#> LO-REDUCTION 1194 -26.281140 -26.284244
#> REFLECTION 1196 -26.281625 -26.284253
#> LO-REDUCTION 1198 -26.281802 -26.284253
#> REFLECTION 1200 -26.281917 -26.284444
#> EXTENSION 1202 -26.282644 -26.285226
#> LO-REDUCTION 1204 -26.282848 -26.285226
#> LO-REDUCTION 1206 -26.282854 -26.285226
#> REFLECTION 1208 -26.283609 -26.285345
#> LO-REDUCTION 1210 -26.283720 -26.285345
#> REFLECTION 1212 -26.283860 -26.285664
#> LO-REDUCTION 1214 -26.284244 -26.285664
#> REFLECTION 1216 -26.284253 -26.285742
#> LO-REDUCTION 1218 -26.284444 -26.285742
#> REFLECTION 1220 -26.285013 -26.285971
#> LO-REDUCTION 1222 -26.285186 -26.285971
#> LO-REDUCTION 1224 -26.285225 -26.285971
#> EXTENSION 1226 -26.285226 -26.286494
#> LO-REDUCTION 1228 -26.285312 -26.286494
#> LO-REDUCTION 1230 -26.285345 -26.286494
#> LO-REDUCTION 1232 -26.285434 -26.286494
#> LO-REDUCTION 1234 -26.285646 -26.286494
#> EXTENSION 1236 -26.285664 -26.286874
#> LO-REDUCTION 1238 -26.285742 -26.286874
#> LO-REDUCTION 1240 -26.285800 -26.286874
#> EXTENSION 1242 -26.285931 -26.287260
#> LO-REDUCTION 1244 -26.285971 -26.287260
#> LO-REDUCTION 1246 -26.285997 -26.287260
#> EXTENSION 1248 -26.286127 -26.287416
#> EXTENSION 1250 -26.286342 -26.287795
#> LO-REDUCTION 1252 -26.286367 -26.287795
#> EXTENSION 1254 -26.286494 -26.288241
#> LO-REDUCTION 1256 -26.286750 -26.288241
#> LO-REDUCTION 1258 -26.286757 -26.288241
#> LO-REDUCTION 1260 -26.286837 -26.288241
#> LO-REDUCTION 1262 -26.286874 -26.288241
#> LO-REDUCTION 1264 -26.287260 -26.288241
#> REFLECTION 1266 -26.287416 -26.288255
#> LO-REDUCTION 1268 -26.287497 -26.288255
#> LO-REDUCTION 1270 -26.287729 -26.288255
#> EXTENSION 1272 -26.287795 -26.288611
#> LO-REDUCTION 1274 -26.287963 -26.288611
#> LO-REDUCTION 1276 -26.287973 -26.288611
#> LO-REDUCTION 1278 -26.288017 -26.288611
#> EXTENSION 1280 -26.288027 -26.288762
#> LO-REDUCTION 1282 -26.288077 -26.288762
#> EXTENSION 1284 -26.288236 -26.288908
#> LO-REDUCTION 1286 -26.288241 -26.288908
#> LO-REDUCTION 1288 -26.288255 -26.288908
#> LO-REDUCTION 1290 -26.288430 -26.288908
#> LO-REDUCTION 1292 -26.288443 -26.288908
#> REFLECTION 1294 -26.288449 -26.288932
#> LO-REDUCTION 1296 -26.288516 -26.288932
#> LO-REDUCTION 1298 -26.288611 -26.288932
#> LO-REDUCTION 1300 -26.288698 -26.288932
#> EXTENSION 1302 -26.288700 -26.289055
#> LO-REDUCTION 1304 -26.288704 -26.289055
#> REFLECTION 1306 -26.288762 -26.289094
#> LO-REDUCTION 1308 -26.288845 -26.289094
#> HI-REDUCTION 1310 -26.288887 -26.289094
#> LO-REDUCTION 1312 -26.288896 -26.289094
#> EXTENSION 1314 -26.288908 -26.289224
#> LO-REDUCTION 1316 -26.288925 -26.289224
#> EXTENSION 1318 -26.288932 -26.289311
#> LO-REDUCTION 1320 -26.288996 -26.289311
#> LO-REDUCTION 1322 -26.289049 -26.289311
#> HI-REDUCTION 1324 -26.289049 -26.289311
#> LO-REDUCTION 1326 -26.289055 -26.289311
#> LO-REDUCTION 1328 -26.289082 -26.289311
#> EXTENSION 1330 -26.289094 -26.289402
#> LO-REDUCTION 1332 -26.289121 -26.289402
#> LO-REDUCTION 1334 -26.289146 -26.289402
#> LO-REDUCTION 1336 -26.289151 -26.289402
#> EXTENSION 1338 -26.289204 -26.289588
#> LO-REDUCTION 1340 -26.289224 -26.289588
#> LO-REDUCTION 1342 -26.289237 -26.289588
#> LO-REDUCTION 1344 -26.289293 -26.289588
#> LO-REDUCTION 1346 -26.289299 -26.289588
#> EXTENSION 1348 -26.289308 -26.289702
#> LO-REDUCTION 1350 -26.289311 -26.289702
#> LO-REDUCTION 1352 -26.289372 -26.289702
#> EXTENSION 1354 -26.289402 -26.289784
#> EXTENSION 1356 -26.289463 -26.289882
#> LO-REDUCTION 1358 -26.289478 -26.289882
#> LO-REDUCTION 1360 -26.289488 -26.289882
#> EXTENSION 1362 -26.289521 -26.290078
#> LO-REDUCTION 1364 -26.289588 -26.290078
#> LO-REDUCTION 1366 -26.289673 -26.290078
#> LO-REDUCTION 1368 -26.289683 -26.290078
#> REFLECTION 1370 -26.289702 -26.290086
#> REFLECTION 1372 -26.289784 -26.290098
#> REFLECTION 1374 -26.289872 -26.290177
#> LO-REDUCTION 1376 -26.289880 -26.290177
#> LO-REDUCTION 1378 -26.289882 -26.290177
#> LO-REDUCTION 1380 -26.290017 -26.290177
#> EXTENSION 1382 -26.290023 -26.290299
#> LO-REDUCTION 1384 -26.290064 -26.290299
#> LO-REDUCTION 1386 -26.290078 -26.290299
#> LO-REDUCTION 1388 -26.290086 -26.290299
#> LO-REDUCTION 1390 -26.290098 -26.290299
#> LO-REDUCTION 1392 -26.290105 -26.290299
#> LO-REDUCTION 1394 -26.290115 -26.290299
#> LO-REDUCTION 1396 -26.290143 -26.290299
#> LO-REDUCTION 1398 -26.290176 -26.290299
#> EXTENSION 1400 -26.290177 -26.290335
#> LO-REDUCTION 1402 -26.290177 -26.290335
#> EXTENSION 1404 -26.290181 -26.290361
#> LO-REDUCTION 1406 -26.290199 -26.290361
#> EXTENSION 1408 -26.290208 -26.290403
#> EXTENSION 1410 -26.290276 -26.290535
#> LO-REDUCTION 1412 -26.290284 -26.290535
#> LO-REDUCTION 1414 -26.290288 -26.290535
#> LO-REDUCTION 1416 -26.290291 -26.290535
#> LO-REDUCTION 1418 -26.290299 -26.290535
#> LO-REDUCTION 1420 -26.290335 -26.290535
#> LO-REDUCTION 1422 -26.290337 -26.290535
#> REFLECTION 1424 -26.290361 -26.290546
#> LO-REDUCTION 1426 -26.290403 -26.290546
#> LO-REDUCTION 1428 -26.290451 -26.290546
#> REFLECTION 1430 -26.290454 -26.290558
#> LO-REDUCTION 1432 -26.290465 -26.290558
#> REFLECTION 1434 -26.290473 -26.290577
#> LO-REDUCTION 1436 -26.290490 -26.290577
#> LO-REDUCTION 1438 -26.290499 -26.290577
#> EXTENSION 1440 -26.290515 -26.290634
#> LO-REDUCTION 1442 -26.290535 -26.290634
#> LO-REDUCTION 1444 -26.290543 -26.290634
#> LO-REDUCTION 1446 -26.290546 -26.290634
#> LO-REDUCTION 1448 -26.290547 -26.290634
#> EXTENSION 1450 -26.290558 -26.290682
#> LO-REDUCTION 1452 -26.290562 -26.290682
#> LO-REDUCTION 1454 -26.290564 -26.290682
#> LO-REDUCTION 1456 -26.290577 -26.290682
#> LO-REDUCTION 1458 -26.290592 -26.290682
#> LO-REDUCTION 1460 -26.290596 -26.290682
#> EXTENSION 1462 -26.290599 -26.290732
#> LO-REDUCTION 1464 -26.290609 -26.290732
#> LO-REDUCTION 1466 -26.290624 -26.290732
#> LO-REDUCTION 1468 -26.290634 -26.290732
#> REFLECTION 1470 -26.290662 -26.290745
#> LO-REDUCTION 1472 -26.290676 -26.290745
#> EXTENSION 1474 -26.290679 -26.290749
#> EXTENSION 1476 -26.290679 -26.290786
#> EXTENSION 1478 -26.290682 -26.290807
#> LO-REDUCTION 1480 -26.290716 -26.290807
#> LO-REDUCTION 1482 -26.290722 -26.290807
#> LO-REDUCTION 1484 -26.290726 -26.290807
#> EXTENSION 1486 -26.290729 -26.290816
#> LO-REDUCTION 1488 -26.290732 -26.290816
#> LO-REDUCTION 1490 -26.290745 -26.290816
#> HI-REDUCTION 1492 -26.290749 -26.290816
#> REFLECTION 1494 -26.290776 -26.290824
#> REFLECTION 1496 -26.290785 -26.290832
#> EXTENSION 1498 -26.290786 -26.290846
#> LO-REDUCTION 1500 -26.290790 -26.290846
#> LO-REDUCTION 1502 -26.290805 -26.290846
#> LO-REDUCTION 1504 -26.290805 -26.290846
#> LO-REDUCTION 1506 -26.290807 -26.290846
#> LO-REDUCTION 1508 -26.290807 -26.290846
#> REFLECTION 1510 -26.290816 -26.290847
#> LO-REDUCTION 1512 -26.290824 -26.290847
#> LO-REDUCTION 1514 -26.290829 -26.290847
#> EXTENSION 1516 -26.290830 -26.290862
#> LO-REDUCTION 1518 -26.290831 -26.290862
#> EXTENSION 1520 -26.290832 -26.290869
#> LO-REDUCTION 1522 -26.290835 -26.290869
#> LO-REDUCTION 1524 -26.290837 -26.290869
#> REFLECTION 1526 -26.290840 -26.290870
#> EXTENSION 1528 -26.290844 -26.290898
#> LO-REDUCTION 1530 -26.290846 -26.290898
#> LO-REDUCTION 1532 -26.290847 -26.290898
#> EXTENSION 1534 -26.290855 -26.290913
#> LO-REDUCTION 1536 -26.290861 -26.290913
#> LO-REDUCTION 1538 -26.290862 -26.290913
#> LO-REDUCTION 1540 -26.290864 -26.290913
#> EXTENSION 1542 -26.290869 -26.290937
#> LO-REDUCTION 1544 -26.290870 -26.290937
#> EXTENSION 1546 -26.290884 -26.290981
#> LO-REDUCTION 1548 -26.290893 -26.290981
#> LO-REDUCTION 1550 -26.290898 -26.290981
#> LO-REDUCTION 1552 -26.290907 -26.290981
#> LO-REDUCTION 1554 -26.290907 -26.290981
#> LO-REDUCTION 1556 -26.290913 -26.290981
#> LO-REDUCTION 1558 -26.290913 -26.290981
#> EXTENSION 1560 -26.290928 -26.291009
#> LO-REDUCTION 1562 -26.290937 -26.291009
#> LO-REDUCTION 1564 -26.290942 -26.291009
#> LO-REDUCTION 1566 -26.290947 -26.291009
#> EXTENSION 1568 -26.290953 -26.291032
#> LO-REDUCTION 1570 -26.290956 -26.291032
#> LO-REDUCTION 1572 -26.290959 -26.291032
#> EXTENSION 1574 -26.290965 -26.291084
#> LO-REDUCTION 1576 -26.290968 -26.291084
#> LO-REDUCTION 1578 -26.290981 -26.291084
#> LO-REDUCTION 1580 -26.290995 -26.291084
#> LO-REDUCTION 1582 -26.290998 -26.291084
#> EXTENSION 1584 -26.291009 -26.291130
#> LO-REDUCTION 1586 -26.291027 -26.291130
#> LO-REDUCTION 1588 -26.291031 -26.291130
#> EXTENSION 1590 -26.291032 -26.291152
#> EXTENSION 1592 -26.291053 -26.291163
#> EXTENSION 1594 -26.291069 -26.291196
#> LO-REDUCTION 1596 -26.291073 -26.291196
#> EXTENSION 1598 -26.291080 -26.291259
#> LO-REDUCTION 1600 -26.291084 -26.291259
#> LO-REDUCTION 1602 -26.291118 -26.291259
#> LO-REDUCTION 1604 -26.291127 -26.291259
#> LO-REDUCTION 1606 -26.291130 -26.291259
#> LO-REDUCTION 1608 -26.291152 -26.291259
#> LO-REDUCTION 1610 -26.291163 -26.291259
#> EXTENSION 1612 -26.291163 -26.291285
#> LO-REDUCTION 1614 -26.291196 -26.291285
#> LO-REDUCTION 1616 -26.291201 -26.291285
#> LO-REDUCTION 1618 -26.291202 -26.291285
#> LO-REDUCTION 1620 -26.291221 -26.291285
#> EXTENSION 1622 -26.291227 -26.291292
#> EXTENSION 1624 -26.291232 -26.291295
#> REFLECTION 1626 -26.291232 -26.291298
#> REFLECTION 1628 -26.291235 -26.291300
#> REFLECTION 1630 -26.291242 -26.291303
#> REFLECTION 1632 -26.291259 -26.291311
#> LO-REDUCTION 1634 -26.291270 -26.291311
#> LO-REDUCTION 1636 -26.291281 -26.291311
#> LO-REDUCTION 1638 -26.291285 -26.291311
#> LO-REDUCTION 1640 -26.291292 -26.291311
#> HI-REDUCTION 1642 -26.291295 -26.291311
#> LO-REDUCTION 1644 -26.291296 -26.291311
#> EXTENSION 1646 -26.291298 -26.291320
#> LO-REDUCTION 1648 -26.291300 -26.291320
#> HI-REDUCTION 1650 -26.291303 -26.291320
#> LO-REDUCTION 1652 -26.291307 -26.291320
#> LO-REDUCTION 1654 -26.291307 -26.291320
#> REFLECTION 1656 -26.291308 -26.291324
#> LO-REDUCTION 1658 -26.291308 -26.291324
#> REFLECTION 1660 -26.291311 -26.291327
#> REFLECTION 1662 -26.291311 -26.291327
#> EXTENSION 1664 -26.291313 -26.291347
#> LO-REDUCTION 1666 -26.291316 -26.291347
#> LO-REDUCTION 1668 -26.291319 -26.291347
#> LO-REDUCTION 1670 -26.291320 -26.291347
#> LO-REDUCTION 1672 -26.291320 -26.291347
#> LO-REDUCTION 1674 -26.291324 -26.291347
#> LO-REDUCTION 1676 -26.291324 -26.291347
#> EXTENSION 1678 -26.291327 -26.291353
#> LO-REDUCTION 1680 -26.291327 -26.291353
#> LO-REDUCTION 1682 -26.291332 -26.291353
#> EXTENSION 1684 -26.291333 -26.291358
#> EXTENSION 1686 -26.291338 -26.291379
#> LO-REDUCTION 1688 -26.291340 -26.291379
#> LO-REDUCTION 1690 -26.291345 -26.291379
#> LO-REDUCTION 1692 -26.291346 -26.291379
#> LO-REDUCTION 1694 -26.291347 -26.291379
#> LO-REDUCTION 1696 -26.291350 -26.291379
#> LO-REDUCTION 1698 -26.291351 -26.291379
#> EXTENSION 1700 -26.291353 -26.291389
#> LO-REDUCTION 1702 -26.291358 -26.291389
#> LO-REDUCTION 1704 -26.291359 -26.291389
#> EXTENSION 1706 -26.291370 -26.291402
#> LO-REDUCTION 1708 -26.291370 -26.291402
#> EXTENSION 1710 -26.291373 -26.291428
#> LO-REDUCTION 1712 -26.291376 -26.291428
#> LO-REDUCTION 1714 -26.291378 -26.291428
#> LO-REDUCTION 1716 -26.291379 -26.291428
#> LO-REDUCTION 1718 -26.291385 -26.291428
#> LO-REDUCTION 1720 -26.291386 -26.291428
#> LO-REDUCTION 1722 -26.291389 -26.291428
#> LO-REDUCTION 1724 -26.291397 -26.291428
#> EXTENSION 1726 -26.291402 -26.291435
#> LO-REDUCTION 1728 -26.291402 -26.291435
#> EXTENSION 1730 -26.291404 -26.291436
#> EXTENSION 1732 -26.291408 -26.291459
#> EXTENSION 1734 -26.291408 -26.291483
#> LO-REDUCTION 1736 -26.291417 -26.291483
#> LO-REDUCTION 1738 -26.291419 -26.291483
#> LO-REDUCTION 1740 -26.291426 -26.291483
#> LO-REDUCTION 1742 -26.291428 -26.291483
#> LO-REDUCTION 1744 -26.291434 -26.291483
#> LO-REDUCTION 1746 -26.291435 -26.291483
#> REFLECTION 1748 -26.291436 -26.291490
#> EXTENSION 1750 -26.291459 -26.291535
#> LO-REDUCTION 1752 -26.291472 -26.291535
#> LO-REDUCTION 1754 -26.291473 -26.291535
#> LO-REDUCTION 1756 -26.291474 -26.291535
#> LO-REDUCTION 1758 -26.291476 -26.291535
#> LO-REDUCTION 1760 -26.291480 -26.291535
#> EXTENSION 1762 -26.291482 -26.291539
#> EXTENSION 1764 -26.291483 -26.291586
#> LO-REDUCTION 1766 -26.291490 -26.291586
#> LO-REDUCTION 1768 -26.291509 -26.291586
#> LO-REDUCTION 1770 -26.291513 -26.291586
#> LO-REDUCTION 1772 -26.291520 -26.291586
#> LO-REDUCTION 1774 -26.291529 -26.291586
#> LO-REDUCTION 1776 -26.291535 -26.291586
#> LO-REDUCTION 1778 -26.291535 -26.291586
#> EXTENSION 1780 -26.291539 -26.291626
#> LO-REDUCTION 1782 -26.291568 -26.291626
#> LO-REDUCTION 1784 -26.291568 -26.291626
#> LO-REDUCTION 1786 -26.291570 -26.291626
#> LO-REDUCTION 1788 -26.291571 -26.291626
#> EXTENSION 1790 -26.291580 -26.291647
#> EXTENSION 1792 -26.291583 -26.291665
#> LO-REDUCTION 1794 -26.291583 -26.291665
#> LO-REDUCTION 1796 -26.291586 -26.291665
#> LO-REDUCTION 1798 -26.291605 -26.291665
#> LO-REDUCTION 1800 -26.291607 -26.291665
#> LO-REDUCTION 1802 -26.291613 -26.291665
#> LO-REDUCTION 1804 -26.291624 -26.291665
#> REFLECTION 1806 -26.291626 -26.291667
#> LO-REDUCTION 1808 -26.291631 -26.291667
#> REFLECTION 1810 -26.291647 -26.291674
#> LO-REDUCTION 1812 -26.291652 -26.291674
#> EXTENSION 1814 -26.291656 -26.291681
#> LO-REDUCTION 1816 -26.291657 -26.291681
#> REFLECTION 1818 -26.291660 -26.291684
#> REFLECTION 1820 -26.291663 -26.291686
#> LO-REDUCTION 1822 -26.291665 -26.291686
#> LO-REDUCTION 1824 -26.291667 -26.291686
#> LO-REDUCTION 1826 -26.291667 -26.291686
#> LO-REDUCTION 1828 -26.291672 -26.291686
#> LO-REDUCTION 1830 -26.291674 -26.291686
#> EXTENSION 1832 -26.291676 -26.291703
#> LO-REDUCTION 1834 -26.291680 -26.291703
#> LO-REDUCTION 1836 -26.291681 -26.291703
#> HI-REDUCTION 1838 -26.291681 -26.291703
#> LO-REDUCTION 1840 -26.291683 -26.291703
#> LO-REDUCTION 1842 -26.291684 -26.291703
#> LO-REDUCTION 1844 -26.291684 -26.291703
#> LO-REDUCTION 1846 -26.291686 -26.291703
#> EXTENSION 1848 -26.291686 -26.291708
#> EXTENSION 1850 -26.291688 -26.291714
#> EXTENSION 1852 -26.291690 -26.291723
#> LO-REDUCTION 1854 -26.291694 -26.291723
#> LO-REDUCTION 1856 -26.291695 -26.291723
#> EXTENSION 1858 -26.291699 -26.291729
#> EXTENSION 1860 -26.291699 -26.291741
#> LO-REDUCTION 1862 -26.291702 -26.291741
#> LO-REDUCTION 1864 -26.291703 -26.291741
#> EXTENSION 1866 -26.291708 -26.291770
#> LO-REDUCTION 1868 -26.291714 -26.291770
#> LO-REDUCTION 1870 -26.291718 -26.291770
#> LO-REDUCTION 1872 -26.291722 -26.291770
#> LO-REDUCTION 1874 -26.291723 -26.291770
#> LO-REDUCTION 1876 -26.291729 -26.291770
#> LO-REDUCTION 1878 -26.291734 -26.291770
#> EXTENSION 1880 -26.291739 -26.291788
#> LO-REDUCTION 1882 -26.291741 -26.291788
#> LO-REDUCTION 1884 -26.291741 -26.291788
#> LO-REDUCTION 1886 -26.291753 -26.291788
#> EXTENSION 1888 -26.291756 -26.291816
#> LO-REDUCTION 1890 -26.291757 -26.291816
#> LO-REDUCTION 1892 -26.291758 -26.291816
#> LO-REDUCTION 1894 -26.291767 -26.291816
#> LO-REDUCTION 1896 -26.291770 -26.291816
#> LO-REDUCTION 1898 -26.291773 -26.291816
#> EXTENSION 1900 -26.291776 -26.291825
#> EXTENSION 1902 -26.291784 -26.291852
#> LO-REDUCTION 1904 -26.291786 -26.291852
#> LO-REDUCTION 1906 -26.291788 -26.291852
#> EXTENSION 1908 -26.291800 -26.291887
#> LO-REDUCTION 1910 -26.291800 -26.291887
#> LO-REDUCTION 1912 -26.291805 -26.291887
#> EXTENSION 1914 -26.291810 -26.291916
#> LO-REDUCTION 1916 -26.291816 -26.291916
#> LO-REDUCTION 1918 -26.291825 -26.291916
#> EXTENSION 1920 -26.291833 -26.291948
#> LO-REDUCTION 1922 -26.291838 -26.291948
#> EXTENSION 1924 -26.291852 -26.291994
#> LO-REDUCTION 1926 -26.291861 -26.291994
#> LO-REDUCTION 1928 -26.291878 -26.291994
#> LO-REDUCTION 1930 -26.291883 -26.291994
#> EXTENSION 1932 -26.291887 -26.292013
#> EXTENSION 1934 -26.291895 -26.292046
#> EXTENSION 1936 -26.291916 -26.292078
#> LO-REDUCTION 1938 -26.291938 -26.292078
#> LO-REDUCTION 1940 -26.291948 -26.292078
#> LO-REDUCTION 1942 -26.291956 -26.292078
#> LO-REDUCTION 1944 -26.291979 -26.292078
#> REFLECTION 1946 -26.291981 -26.292079
#> LO-REDUCTION 1948 -26.291994 -26.292079
#> LO-REDUCTION 1950 -26.292013 -26.292079
#> LO-REDUCTION 1952 -26.292031 -26.292079
#> REFLECTION 1954 -26.292046 -26.292083
#> REFLECTION 1956 -26.292055 -26.292085
#> REFLECTION 1958 -26.292058 -26.292089
#> REFLECTION 1960 -26.292061 -26.292095
#> HI-REDUCTION 1962 -26.292069 -26.292095
#> LO-REDUCTION 1964 -26.292071 -26.292095
#> EXTENSION 1966 -26.292077 -26.292117
#> LO-REDUCTION 1968 -26.292078 -26.292117
#> LO-REDUCTION 1970 -26.292079 -26.292117
#> LO-REDUCTION 1972 -26.292082 -26.292117
#> LO-REDUCTION 1974 -26.292083 -26.292117
#> LO-REDUCTION 1976 -26.292085 -26.292117
#> LO-REDUCTION 1978 -26.292089 -26.292117
#> LO-REDUCTION 1980 -26.292092 -26.292117
#> LO-REDUCTION 1982 -26.292095 -26.292117
#> LO-REDUCTION 1984 -26.292096 -26.292117
#> LO-REDUCTION 1986 -26.292097 -26.292117
#> EXTENSION 1988 -26.292097 -26.292121
#> EXTENSION 1990 -26.292100 -26.292128
#> LO-REDUCTION 1992 -26.292102 -26.292128
#> EXTENSION 1994 -26.292107 -26.292137
#> LO-REDUCTION 1996 -26.292108 -26.292137
#> EXTENSION 1998 -26.292111 -26.292153
#> LO-REDUCTION 2000 -26.292115 -26.292153
#> LO-REDUCTION 2002 -26.292115 -26.292153
#> LO-REDUCTION 2004 -26.292117 -26.292153
#> LO-REDUCTION 2006 -26.292121 -26.292153
#> LO-REDUCTION 2008 -26.292125 -26.292153
#> LO-REDUCTION 2010 -26.292128 -26.292153
#> LO-REDUCTION 2012 -26.292134 -26.292153
#> LO-REDUCTION 2014 -26.292137 -26.292153
#> LO-REDUCTION 2016 -26.292137 -26.292153
#> REFLECTION 2018 -26.292139 -26.292155
#> REFLECTION 2020 -26.292140 -26.292155
#> EXTENSION 2022 -26.292143 -26.292161
#> EXTENSION 2024 -26.292146 -26.292174
#> LO-REDUCTION 2026 -26.292148 -26.292174
#> LO-REDUCTION 2028 -26.292150 -26.292174
#> LO-REDUCTION 2030 -26.292151 -26.292174
#> LO-REDUCTION 2032 -26.292153 -26.292174
#> EXTENSION 2034 -26.292153 -26.292188
#> LO-REDUCTION 2036 -26.292155 -26.292188
#> LO-REDUCTION 2038 -26.292155 -26.292188
#> LO-REDUCTION 2040 -26.292161 -26.292188
#> LO-REDUCTION 2042 -26.292168 -26.292188
#> EXTENSION 2044 -26.292168 -26.292196
#> LO-REDUCTION 2046 -26.292172 -26.292196
#> LO-REDUCTION 2048 -26.292172 -26.292196
#> EXTENSION 2050 -26.292174 -26.292202
#> LO-REDUCTION 2052 -26.292174 -26.292202
#> EXTENSION 2054 -26.292181 -26.292213
#> LO-REDUCTION 2056 -26.292183 -26.292213
#> LO-REDUCTION 2058 -26.292183 -26.292213
#> LO-REDUCTION 2060 -26.292188 -26.292213
#> LO-REDUCTION 2062 -26.292193 -26.292213
#> EXTENSION 2064 -26.292194 -26.292217
#> LO-REDUCTION 2066 -26.292196 -26.292217
#> LO-REDUCTION 2068 -26.292199 -26.292217
#> REFLECTION 2070 -26.292202 -26.292220
#> LO-REDUCTION 2072 -26.292208 -26.292220
#> HI-REDUCTION 2074 -26.292208 -26.292220
#> LO-REDUCTION 2076 -26.292209 -26.292220
#> LO-REDUCTION 2078 -26.292210 -26.292220
#> REFLECTION 2080 -26.292212 -26.292220
#> EXTENSION 2082 -26.292213 -26.292228
#> LO-REDUCTION 2084 -26.292214 -26.292228
#> LO-REDUCTION 2086 -26.292215 -26.292228
#> LO-REDUCTION 2088 -26.292217 -26.292228
#> LO-REDUCTION 2090 -26.292219 -26.292228
#> EXTENSION 2092 -26.292219 -26.292231
#> LO-REDUCTION 2094 -26.292220 -26.292231
#> LO-REDUCTION 2096 -26.292220 -26.292231
#> LO-REDUCTION 2098 -26.292220 -26.292231
#> LO-REDUCTION 2100 -26.292223 -26.292231
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#> REFLECTION 2822 -26.294290 -26.294355
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#> EXTENSION 2826 -26.294320 -26.294373
#> EXTENSION 2828 -26.294324 -26.294384
#> LO-REDUCTION 2830 -26.294331 -26.294384
#> LO-REDUCTION 2832 -26.294332 -26.294384
#> REFLECTION 2834 -26.294334 -26.294389
#> LO-REDUCTION 2836 -26.294335 -26.294389
#> LO-REDUCTION 2838 -26.294345 -26.294389
#> LO-REDUCTION 2840 -26.294347 -26.294389
#> REFLECTION 2842 -26.294355 -26.294390
#> LO-REDUCTION 2844 -26.294370 -26.294390
#> EXTENSION 2846 -26.294373 -26.294400
#> LO-REDUCTION 2848 -26.294374 -26.294400
#> EXTENSION 2850 -26.294380 -26.294418
#> LO-REDUCTION 2852 -26.294382 -26.294418
#> LO-REDUCTION 2854 -26.294384 -26.294418
#> LO-REDUCTION 2856 -26.294384 -26.294418
#> LO-REDUCTION 2858 -26.294385 -26.294418
#> EXTENSION 2860 -26.294389 -26.294445
#> LO-REDUCTION 2862 -26.294390 -26.294445
#> LO-REDUCTION 2864 -26.294390 -26.294445
#> LO-REDUCTION 2866 -26.294400 -26.294445
#> LO-REDUCTION 2868 -26.294404 -26.294445
#> EXTENSION 2870 -26.294407 -26.294478
#> LO-REDUCTION 2872 -26.294414 -26.294478
#> LO-REDUCTION 2874 -26.294415 -26.294478
#> LO-REDUCTION 2876 -26.294418 -26.294478
#> LO-REDUCTION 2878 -26.294427 -26.294478
#> EXTENSION 2880 -26.294431 -26.294484
#> LO-REDUCTION 2882 -26.294431 -26.294484
#> EXTENSION 2884 -26.294444 -26.294522
#> LO-REDUCTION 2886 -26.294445 -26.294522
#> LO-REDUCTION 2888 -26.294457 -26.294522
#> EXTENSION 2890 -26.294458 -26.294563
#> LO-REDUCTION 2892 -26.294471 -26.294563
#> LO-REDUCTION 2894 -26.294471 -26.294563
#> LO-REDUCTION 2896 -26.294474 -26.294563
#> LO-REDUCTION 2898 -26.294478 -26.294563
#> EXTENSION 2900 -26.294484 -26.294573
#> EXTENSION 2902 -26.294500 -26.294611
#> LO-REDUCTION 2904 -26.294514 -26.294611
#> EXTENSION 2906 -26.294522 -26.294650
#> LO-REDUCTION 2908 -26.294523 -26.294650
#> EXTENSION 2910 -26.294540 -26.294717
#> LO-REDUCTION 2912 -26.294546 -26.294717
#> LO-REDUCTION 2914 -26.294547 -26.294717
#> LO-REDUCTION 2916 -26.294563 -26.294717
#> LO-REDUCTION 2918 -26.294573 -26.294717
#> REFLECTION 2920 -26.294597 -26.294723
#> EXTENSION 2922 -26.294611 -26.294743
#> EXTENSION 2924 -26.294640 -26.294814
#> LO-REDUCTION 2926 -26.294650 -26.294814
#> LO-REDUCTION 2928 -26.294678 -26.294814
#> EXTENSION 2930 -26.294680 -26.294893
#> LO-REDUCTION 2932 -26.294700 -26.294893
#> LO-REDUCTION 2934 -26.294709 -26.294893
#> LO-REDUCTION 2936 -26.294717 -26.294893
#> LO-REDUCTION 2938 -26.294723 -26.294893
#> LO-REDUCTION 2940 -26.294743 -26.294893
#> EXTENSION 2942 -26.294785 -26.295002
#> LO-REDUCTION 2944 -26.294804 -26.295002
#> LO-REDUCTION 2946 -26.294814 -26.295002
#> LO-REDUCTION 2948 -26.294832 -26.295002
#> EXTENSION 2950 -26.294851 -26.295063
#> EXTENSION 2952 -26.294868 -26.295136
#> LO-REDUCTION 2954 -26.294885 -26.295136
#> LO-REDUCTION 2956 -26.294888 -26.295136
#> EXTENSION 2958 -26.294893 -26.295221
#> LO-REDUCTION 2960 -26.294923 -26.295221
#> LO-REDUCTION 2962 -26.294977 -26.295221
#> LO-REDUCTION 2964 -26.295001 -26.295221
#> LO-REDUCTION 2966 -26.295002 -26.295221
#> REFLECTION 2968 -26.295063 -26.295270
#> REFLECTION 2970 -26.295099 -26.295271
#> LO-REDUCTION 2972 -26.295118 -26.295271
#> LO-REDUCTION 2974 -26.295136 -26.295271
#> LO-REDUCTION 2976 -26.295155 -26.295271
#> LO-REDUCTION 2978 -26.295166 -26.295271
#> REFLECTION 2980 -26.295195 -26.295294
#> LO-REDUCTION 2982 -26.295204 -26.295294
#> EXTENSION 2984 -26.295221 -26.295350
#> LO-REDUCTION 2986 -26.295222 -26.295350
#> LO-REDUCTION 2988 -26.295235 -26.295350
#> LO-REDUCTION 2990 -26.295247 -26.295350
#> LO-REDUCTION 2992 -26.295260 -26.295350
#> LO-REDUCTION 2994 -26.295270 -26.295350
#> LO-REDUCTION 2996 -26.295271 -26.295350
#> LO-REDUCTION 2998 -26.295288 -26.295350
#> LO-REDUCTION 3000 -26.295288 -26.295350
#> LO-REDUCTION 3002 -26.295294 -26.295350
#> LO-REDUCTION 3004 -26.295313 -26.295350
#> EXTENSION 3006 -26.295315 -26.295367
#> LO-REDUCTION 3008 -26.295325 -26.295367
#> LO-REDUCTION 3010 -26.295327 -26.295367
#> LO-REDUCTION 3012 -26.295331 -26.295367
#> LO-REDUCTION 3014 -26.295332 -26.295367
#> LO-REDUCTION 3016 -26.295332 -26.295367
#> EXTENSION 3018 -26.295332 -26.295393
#> LO-REDUCTION 3020 -26.295346 -26.295393
#> LO-REDUCTION 3022 -26.295350 -26.295393
#> LO-REDUCTION 3024 -26.295352 -26.295393
#> LO-REDUCTION 3026 -26.295356 -26.295393
#> LO-REDUCTION 3028 -26.295358 -26.295393
#> EXTENSION 3030 -26.295362 -26.295396
#> LO-REDUCTION 3032 -26.295366 -26.295396
#> LO-REDUCTION 3034 -26.295367 -26.295396
#> REFLECTION 3036 -26.295374 -26.295396
#> LO-REDUCTION 3038 -26.295374 -26.295396
#> REFLECTION 3040 -26.295381 -26.295400
#> LO-REDUCTION 3042 -26.295384 -26.295400
#> LO-REDUCTION 3044 -26.295388 -26.295400
#> LO-REDUCTION 3046 -26.295390 -26.295401
#> EXTENSION 3048 -26.295391 -26.295408
#> LO-REDUCTION 3050 -26.295393 -26.295408
#> HI-REDUCTION 3052 -26.295395 -26.295408
#> LO-REDUCTION 3054 -26.295396 -26.295408
#> LO-REDUCTION 3056 -26.295396 -26.295408
#> LO-REDUCTION 3058 -26.295400 -26.295408
#> LO-REDUCTION 3060 -26.295400 -26.295408
#> LO-REDUCTION 3062 -26.295400 -26.295408
#> LO-REDUCTION 3064 -26.295401 -26.295408
#> LO-REDUCTION 3066 -26.295401 -26.295408
#> LO-REDUCTION 3068 -26.295402 -26.295408
#> REFLECTION 3070 -26.295405 -26.295409
#> LO-REDUCTION 3072 -26.295406 -26.295409
#> HI-REDUCTION 3074 -26.295406 -26.295409
#> LO-REDUCTION 3076 -26.295407 -26.295409
#> REFLECTION 3078 -26.295407 -26.295409
#> EXTENSION 3080 -26.295407 -26.295411
#> LO-REDUCTION 3082 -26.295408 -26.295411
#> LO-REDUCTION 3084 -26.295408 -26.295411
#> LO-REDUCTION 3086 -26.295408 -26.295411
#> LO-REDUCTION 3088 -26.295408 -26.295411
#> EXTENSION 3090 -26.295408 -26.295412
#> LO-REDUCTION 3092 -26.295408 -26.295412
#> LO-REDUCTION 3094 -26.295409 -26.295412
#> LO-REDUCTION 3096 -26.295409 -26.295412
#> LO-REDUCTION 3098 -26.295409 -26.295412
#> EXTENSION 3100 -26.295410 -26.295412
#> EXTENSION 3102 -26.295410 -26.295413
#> LO-REDUCTION 3104 -26.295410 -26.295413
#> EXTENSION 3106 -26.295410 -26.295415
#> LO-REDUCTION 3108 -26.295411 -26.295415
#> LO-REDUCTION 3110 -26.295411 -26.295415
#> LO-REDUCTION 3112 -26.295411 -26.295415
#> LO-REDUCTION 3114 -26.295411 -26.295415
#> LO-REDUCTION 3116 -26.295412 -26.295415
#> LO-REDUCTION 3118 -26.295412 -26.295415
#> LO-REDUCTION 3120 -26.295412 -26.295415
#> LO-REDUCTION 3122 -26.295413 -26.295415
#> LO-REDUCTION 3124 -26.295413 -26.295415
#> EXTENSION 3126 -26.295413 -26.295415
#> LO-REDUCTION 3128 -26.295413 -26.295415
#> LO-REDUCTION 3130 -26.295413 -26.295415
#> REFLECTION 3132 -26.295414 -26.295415
#> EXTENSION 3134 -26.295414 -26.295416
#> LO-REDUCTION 3136 -26.295414 -26.295416
#> EXTENSION 3138 -26.295414 -26.295417
#> LO-REDUCTION 3140 -26.295414 -26.295417
#> LO-REDUCTION 3142 -26.295414 -26.295417
#> LO-REDUCTION 3144 -26.295415 -26.295417
#> LO-REDUCTION 3146 -26.295415 -26.295417
#> LO-REDUCTION 3148 -26.295415 -26.295417
#> EXTENSION 3150 -26.295415 -26.295418
#> EXTENSION 3152 -26.295416 -26.295420
#> LO-REDUCTION 3154 -26.295416 -26.295420
#> LO-REDUCTION 3156 -26.295416 -26.295420
#> LO-REDUCTION 3158 -26.295416 -26.295420
#> EXTENSION 3160 -26.295417 -26.295421
#> LO-REDUCTION 3162 -26.295417 -26.295421
#> LO-REDUCTION 3164 -26.295417 -26.295421
#> LO-REDUCTION 3166 -26.295417 -26.295421
#> REFLECTION 3168 -26.295418 -26.295422
#> EXTENSION 3170 -26.295419 -26.295424
#> LO-REDUCTION 3172 -26.295419 -26.295424
#> LO-REDUCTION 3174 -26.295420 -26.295424
#> LO-REDUCTION 3176 -26.295420 -26.295424
#> EXTENSION 3178 -26.295420 -26.295425
#> LO-REDUCTION 3180 -26.295421 -26.295425
#> REFLECTION 3182 -26.295421 -26.295425
#> LO-REDUCTION 3184 -26.295421 -26.295425
#> EXTENSION 3186 -26.295422 -26.295427
#> EXTENSION 3188 -26.295423 -26.295428
#> EXTENSION 3190 -26.295423 -26.295429
#> LO-REDUCTION 3192 -26.295423 -26.295429
#> LO-REDUCTION 3194 -26.295424 -26.295429
#> LO-REDUCTION 3196 -26.295425 -26.295429
#> HI-REDUCTION 3198 -26.295425 -26.295429
#> LO-REDUCTION 3200 -26.295425 -26.295429
#> REFLECTION 3202 -26.295425 -26.295429
#> REFLECTION 3204 -26.295427 -26.295430
#> LO-REDUCTION 3206 -26.295427 -26.295430
#> LO-REDUCTION 3208 -26.295428 -26.295430
#> LO-REDUCTION 3210 -26.295428 -26.295430
#> LO-REDUCTION 3212 -26.295428 -26.295430
#> REFLECTION 3214 -26.295429 -26.295430
#> HI-REDUCTION 3216 -26.295429 -26.295430
#> LO-REDUCTION 3218 -26.295429 -26.295430
#> LO-REDUCTION 3220 -26.295429 -26.295430
#> REFLECTION 3222 -26.295429 -26.295430
#> LO-REDUCTION 3224 -26.295430 -26.295430
#> LO-REDUCTION 3226 -26.295430 -26.295430
#> LO-REDUCTION 3228 -26.295430 -26.295430
#> LO-REDUCTION 3230 -26.295430 -26.295430
#> LO-REDUCTION 3232 -26.295430 -26.295430
#> EXTENSION 3234 -26.295430 -26.295431
#> LO-REDUCTION 3236 -26.295430 -26.295431
#> LO-REDUCTION 3238 -26.295430 -26.295431
#> LO-REDUCTION 3240 -26.295430 -26.295431
#> LO-REDUCTION 3242 -26.295430 -26.295431
#> EXTENSION 3244 -26.295430 -26.295431
#> LO-REDUCTION 3246 -26.295430 -26.295431
#> EXTENSION 3248 -26.295430 -26.295431
#> LO-REDUCTION 3250 -26.295430 -26.295431
#> LO-REDUCTION 3252 -26.295430 -26.295431
#> REFLECTION 3254 -26.295431 -26.295432
#> EXTENSION 3256 -26.295431 -26.295432
#> LO-REDUCTION 3258 -26.295431 -26.295432
#> LO-REDUCTION 3260 -26.295431 -26.295432
#> LO-REDUCTION 3262 -26.295431 -26.295432
#> REFLECTION 3264 -26.295431 -26.295432
#> LO-REDUCTION 3266 -26.295431 -26.295432
#> LO-REDUCTION 3268 -26.295431 -26.295432
#> EXTENSION 3270 -26.295431 -26.295433
#> LO-REDUCTION 3272 -26.295432 -26.295433
#> LO-REDUCTION 3274 -26.295432 -26.295433
#> LO-REDUCTION 3276 -26.295432 -26.295433
#> LO-REDUCTION 3278 -26.295432 -26.295433
#> LO-REDUCTION 3280 -26.295432 -26.295433
#> LO-REDUCTION 3282 -26.295432 -26.295433
#> LO-REDUCTION 3284 -26.295432 -26.295433
#> REFLECTION 3286 -26.295432 -26.295433
#> REFLECTION 3288 -26.295432 -26.295433
#> REFLECTION 3290 -26.295432 -26.295433
#> EXTENSION 3292 -26.295432 -26.295433
#> EXTENSION 3294 -26.295433 -26.295433
#> LO-REDUCTION 3296 -26.295433 -26.295433
#> EXTENSION 3298 -26.295433 -26.295433
#> LO-REDUCTION 3300 -26.295433 -26.295433
#> LO-REDUCTION 3302 -26.295433 -26.295433
#> LO-REDUCTION 3304 -26.295433 -26.295433
#> EXTENSION 3306 -26.295433 -26.295434
#> EXTENSION 3308 -26.295433 -26.295434
#> LO-REDUCTION 3310 -26.295433 -26.295434
#> LO-REDUCTION 3312 -26.295433 -26.295434
#> EXTENSION 3314 -26.295433 -26.295434
#> EXTENSION 3316 -26.295433 -26.295434
#> HI-REDUCTION 3318 -26.295433 -26.295434
#> LO-REDUCTION 3320 -26.295433 -26.295434
#> LO-REDUCTION 3322 -26.295433 -26.295434
#> LO-REDUCTION 3324 -26.295434 -26.295434
#> REFLECTION 3326 -26.295434 -26.295434
#> REFLECTION 3328 -26.295434 -26.295434
#> EXTENSION 3330 -26.295434 -26.295435
#> HI-REDUCTION 3332 -26.295434 -26.295435
#> LO-REDUCTION 3334 -26.295434 -26.295435
#> LO-REDUCTION 3336 -26.295434 -26.295435
#> LO-REDUCTION 3338 -26.295434 -26.295435
#> EXTENSION 3340 -26.295434 -26.295435
#> LO-REDUCTION 3342 -26.295434 -26.295435
#> LO-REDUCTION 3344 -26.295434 -26.295435
#> LO-REDUCTION 3346 -26.295434 -26.295435
#> LO-REDUCTION 3348 -26.295434 -26.295435
#> EXTENSION 3350 -26.295434 -26.295435
#> REFLECTION 3352 -26.295434 -26.295435
#> REFLECTION 3354 -26.295434 -26.295435
#> EXTENSION 3356 -26.295434 -26.295435
#> LO-REDUCTION 3358 -26.295434 -26.295435
#> EXTENSION 3360 -26.295435 -26.295435
#> EXTENSION 3362 -26.295435 -26.295435
#> LO-REDUCTION 3364 -26.295435 -26.295435
#> HI-REDUCTION 3366 -26.295435 -26.295435
#> LO-REDUCTION 3368 -26.295435 -26.295435
#> LO-REDUCTION 3370 -26.295435 -26.295435
#> LO-REDUCTION 3372 -26.295435 -26.295435
#> EXTENSION 3374 -26.295435 -26.295436
#> LO-REDUCTION 3376 -26.295435 -26.295436
#> LO-REDUCTION 3378 -26.295435 -26.295436
#> LO-REDUCTION 3380 -26.295435 -26.295436
#> LO-REDUCTION 3382 -26.295435 -26.295436
#> LO-REDUCTION 3384 -26.295435 -26.295436
#> LO-REDUCTION 3386 -26.295435 -26.295436
#> LO-REDUCTION 3388 -26.295435 -26.295436
#> EXTENSION 3390 -26.295435 -26.295436
#> LO-REDUCTION 3392 -26.295435 -26.295436
#> LO-REDUCTION 3394 -26.295435 -26.295436
#> LO-REDUCTION 3396 -26.295435 -26.295436
#> EXTENSION 3398 -26.295436 -26.295436
#> LO-REDUCTION 3400 -26.295436 -26.295436
#> LO-REDUCTION 3402 -26.295436 -26.295436
#> LO-REDUCTION 3404 -26.295436 -26.295436
#> LO-REDUCTION 3406 -26.295436 -26.295436
#> EXTENSION 3408 -26.295436 -26.295437
#> LO-REDUCTION 3410 -26.295436 -26.295437
#> EXTENSION 3412 -26.295436 -26.295437
#> LO-REDUCTION 3414 -26.295436 -26.295437
#> LO-REDUCTION 3416 -26.295436 -26.295437
#> EXTENSION 3418 -26.295436 -26.295438
#> LO-REDUCTION 3420 -26.295436 -26.295438
#> LO-REDUCTION 3422 -26.295436 -26.295438
#> LO-REDUCTION 3424 -26.295436 -26.295438
#> LO-REDUCTION 3426 -26.295436 -26.295438
#> EXTENSION 3428 -26.295437 -26.295438
#> LO-REDUCTION 3430 -26.295437 -26.295438
#> LO-REDUCTION 3432 -26.295437 -26.295438
#> LO-REDUCTION 3434 -26.295437 -26.295438
#> LO-REDUCTION 3436 -26.295437 -26.295438
#> EXTENSION 3438 -26.295437 -26.295439
#> EXTENSION 3440 -26.295438 -26.295440
#> LO-REDUCTION 3442 -26.295438 -26.295440
#> LO-REDUCTION 3444 -26.295438 -26.295440
#> LO-REDUCTION 3446 -26.295438 -26.295440
#> LO-REDUCTION 3448 -26.295438 -26.295440
#> LO-REDUCTION 3450 -26.295438 -26.295440
#> EXTENSION 3452 -26.295438 -26.295440
#> LO-REDUCTION 3454 -26.295438 -26.295440
#> REFLECTION 3456 -26.295439 -26.295440
#> EXTENSION 3458 -26.295439 -26.295441
#> EXTENSION 3460 -26.295439 -26.295442
#> LO-REDUCTION 3462 -26.295440 -26.295442
#> LO-REDUCTION 3464 -26.295440 -26.295442
#> LO-REDUCTION 3466 -26.295440 -26.295442
#> LO-REDUCTION 3468 -26.295440 -26.295442
#> REFLECTION 3470 -26.295440 -26.295442
#> LO-REDUCTION 3472 -26.295440 -26.295442
#> REFLECTION 3474 -26.295440 -26.295442
#> REFLECTION 3476 -26.295441 -26.295442
#> LO-REDUCTION 3478 -26.295441 -26.295442
#> REFLECTION 3480 -26.295441 -26.295442
#> REFLECTION 3482 -26.295441 -26.295442
#> EXTENSION 3484 -26.295441 -26.295442
#> LO-REDUCTION 3486 -26.295442 -26.295442
#> LO-REDUCTION 3488 -26.295442 -26.295442
#> HI-REDUCTION 3490 -26.295442 -26.295442
#> LO-REDUCTION 3492 -26.295442 -26.295442
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#> REFLECTION 3496 -26.295442 -26.295442
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#> LO-REDUCTION 3504 -26.295442 -26.295442
#> LO-REDUCTION 3506 -26.295442 -26.295442
#> HI-REDUCTION 3508 -26.295442 -26.295442
#> LO-REDUCTION 3510 -26.295442 -26.295442
#> REFLECTION 3512 -26.295442 -26.295442
#> LO-REDUCTION 3514 -26.295442 -26.295442
#> REFLECTION 3516 -26.295442 -26.295442
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#> LO-REDUCTION 3522 -26.295442 -26.295442
#> LO-REDUCTION 3524 -26.295442 -26.295442
#> REFLECTION 3526 -26.295442 -26.295442
#> LO-REDUCTION 3528 -26.295442 -26.295442
#> EXTENSION 3530 -26.295442 -26.295442
#> LO-REDUCTION 3532 -26.295442 -26.295442
#> LO-REDUCTION 3534 -26.295442 -26.295442
#> LO-REDUCTION 3536 -26.295442 -26.295442
#> LO-REDUCTION 3538 -26.295442 -26.295442
#> EXTENSION 3540 -26.295442 -26.295443
#> LO-REDUCTION 3542 -26.295442 -26.295443
#> LO-REDUCTION 3544 -26.295442 -26.295443
#> REFLECTION 3546 -26.295442 -26.295443
#> LO-REDUCTION 3548 -26.295442 -26.295443
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#> LO-REDUCTION 3552 -26.295442 -26.295443
#> REFLECTION 3554 -26.295442 -26.295443
#> LO-REDUCTION 3556 -26.295442 -26.295443
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#> REFLECTION 3560 -26.295443 -26.295443
#> LO-REDUCTION 3562 -26.295443 -26.295443
#> Exiting from Nelder Mead minimizer
#> 3564 function evaluations used
#> $converge
#> [1] "Model converged successfully"
#>
#> $modelName
#> [1] "Multivariate model: User-specified OU model"
#>
#> $logL
#> [1] 26.29544
#>
#> $AICc
#> [1] 1.409115
#>
#> $ancestral.values
#> [1] 0.04283982 -0.17912310
#>
#> $SE.anc
#> [1] NA
#>
#> $optima
#> [1] 3.024071 2.070468
#>
#> $SE.optima
#> [1] NA
#>
#> $A
#> [,1] [,2]
#> [1,] 7.050664 0.000000
#> [2,] 1.512754 3.703697
#>
#> $SE.A
#> [1] NA
#>
#> $half.life
#> [1] 0.09830949 0.18715007
#>
#> $R
#> [,1] [,2]
#> [1,] 1.325173e-05 0.00000000
#> [2,] 0.000000e+00 0.02775324
#>
#> $SE.R
#> [1] NA
#>
#> $method
#> [1] "Joint"
#>
#> $K
#> [1] 9
#>
#> $n
#> [1] 15
#>
#> $iter
#> [1] NA
#>
#> attr(,"class")
#> [1] "evoTSmvFit"
# }